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Nahodny test, priklady s rostouci obtiznosti...

seed: ITKwIIrIfoLQ5cI3BlUp_0, bodu=5, $$4 - 10 - (7 + 6)=\textcolor{white}{-19}$$return { ["body"] = 5, ["id"] = "xoVohh_0426_0653", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-19}{1}", ["typ"] = "cislo" }, ["tex"] = "-19", ["tex_float"] = "-19", ["x"] = -19 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 - 10", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(7 + 6)", ["typ"] = "zavorka" }, ["render"] = "4 - 10 - (7 + 6)", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.01, bodu=10, $$5 \cdot \frac{6}{-8}=\textcolor{white}{-3{,}75}$$return { ["body"] = 10, ["id"] = "iUp10V_0426_0653", ["obtiznost"] = 0.01, ["reseni"] = { ["float"] = -3.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-15}{4}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{3}{4}", ["tex_float"] = "-3{,}75", ["x"] = -3, ["y"] = 3, ["z"] = 4 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.01", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-8}", ["typ"] = "lomeno" }, ["render"] = "5 \\cdot \\frac{6}{-8}", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.02, bodu=5, $$5 \cdot 7 \cdot (6 - 4)=\textcolor{white}{70}$$return { ["body"] = 5, ["id"] = "T5EEGo_0426_0653", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 70, ["jmenovatel"] = 1 }, ["render"] = "\\frac{70}{1}", ["typ"] = "cislo" }, ["tex"] = "70", ["x"] = 70 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "6 - 4", ["typ"] = "minus" }, ["render"] = "(6 - 4)", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot 7 \\cdot (6 - 4)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.03, bodu=5, $$5 \cdot 6 \cdot 3=\textcolor{white}{90}$$return { ["body"] = 5, ["id"] = "Gr35nC_0426_0653", ["obtiznost"] = 0.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 90, ["jmenovatel"] = 1 }, ["render"] = "\\frac{90}{1}", ["typ"] = "cislo" }, ["tex"] = "90", ["x"] = 90 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 3", ["typ"] = "krat" }, ["render"] = "5 \\cdot 6 \\cdot 3", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.04, bodu=10, $$5 \cdot \frac{8}{7}=\textcolor{white}{5\frac{5}{7}}$$return { ["body"] = 10, ["id"] = "vl9mWe_0426_0653", ["obtiznost"] = 0.04, ["reseni"] = { ["float"] = 5.7142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 7 }, ["render"] = "\\frac{40}{7}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{5}{7}", ["x"] = 5, ["y"] = 5, ["z"] = 7 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{7}", ["typ"] = "lomeno" }, ["render"] = "5 \\cdot \\frac{8}{7}", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.05, bodu=11, $$7 \cdot (\frac{6}{4})^3=\textcolor{white}{23{,}625}$$return { ["body"] = 11, ["id"] = "fIqeLU_0426_0653", ["obtiznost"] = 0.064, ["reseni"] = { ["float"] = 23.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 189, ["jmenovatel"] = 8 }, ["render"] = "\\frac{189}{8}", ["typ"] = "cislo" }, ["tex"] = "23\\frac{5}{8}", ["tex_float"] = "23{,}625", ["x"] = 23, ["y"] = 5, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{4}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{6}{4})^3", ["typ"] = "mocnina" }, ["render"] = "7 \\cdot (\\frac{6}{4})^3", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.06, bodu=5, $$5 \cdot 4 \cdot (7 + 6)=\textcolor{white}{260}$$return { ["body"] = 5, ["id"] = "vakL3c_0426_0653", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 260, ["jmenovatel"] = 1 }, ["render"] = "\\frac{260}{1}", ["typ"] = "cislo" }, ["tex"] = "260", ["tex_float"] = "260", ["x"] = 260 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.06", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 + 6", ["typ"] = "plus" }, ["render"] = "(7 + 6)", ["typ"] = "zavorka" }, ["render"] = "4 \\cdot (7 + 6)", ["typ"] = "krat" }, ["render"] = "5 \\cdot 4 \\cdot (7 + 6)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.07, bodu=5, $$3 \cdot (8 + 10) + 3=\textcolor{white}{57}$$return { ["body"] = 5, ["id"] = "6wufNr_0426_0653", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 1 }, ["render"] = "\\frac{57}{1}", ["typ"] = "cislo" }, ["tex"] = "57", ["x"] = 57 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 + 10", ["typ"] = "plus" }, ["render"] = "(8 + 10)", ["typ"] = "zavorka" }, ["render"] = "3 \\cdot (8 + 10)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "3 \\cdot (8 + 10) + 3", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.08, bodu=6, $$7 \cdot 11 \cdot 7=\textcolor{white}{539}$$return { ["body"] = 6, ["id"] = "lHt6aD_0426_0653", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 539, ["jmenovatel"] = 1 }, ["render"] = "\\frac{539}{1}", ["typ"] = "cislo" }, ["tex"] = "539", ["tex_float"] = "539", ["x"] = 539 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 11 \\cdot 7", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.09, bodu=12, $$\frac{5}{7 \cdot 6}=\textcolor{white}{\frac{5}{42}}$$return { ["body"] = 12, ["id"] = "JEgONr_0426_0653", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = 0.11904761904762, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 42 }, ["render"] = "\\frac{5}{42}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5}{42}", ["y"] = 5, ["z"] = 42 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "\\frac{5}{7 \\cdot 6}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.1, bodu=6, $$11 \cdot -7 + 5 - 6=\textcolor{white}{-78}$$return { ["body"] = 6, ["id"] = "xYye66_0426_0653", ["obtiznost"] = 0.1, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -78, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-78}{1}", ["typ"] = "cislo" }, ["tex"] = "-78", ["x"] = -78 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 - 6", ["typ"] = "minus" }, ["render"] = "11 \\cdot -7 + 5 - 6", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.11, bodu=13, $$\frac{7}{8} \cdot 5=\textcolor{white}{4{,}375}$$return { ["body"] = 13, ["id"] = "DzBnZW_0426_0653", ["obtiznost"] = 0.11, ["reseni"] = { ["float"] = 4.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "\\frac{35}{8}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{3}{8}", ["tex_float"] = "4{,}375", ["x"] = 4, ["y"] = 3, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8} \\cdot 5", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.12, bodu=60, $$8 - ((8 - 4\frac{2}{3}) \cdot -9)^2=\textcolor{white}{-892}$$return { ["body"] = 60, ["id"] = "5rmyW9_0426_0653", ["obtiznost"] = 0.6804, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -892, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-892}{1}", ["typ"] = "cislo" }, ["tex"] = "-892", ["tex_float"] = "-892", ["x"] = -892 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "8 - 4\\frac{2}{3}", ["typ"] = "minus" }, ["render"] = "(8 - 4\\frac{2}{3})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(8 - 4\\frac{2}{3}) \\cdot -9", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((8 - 4\\frac{2}{3}) \\cdot -9)^2", ["typ"] = "mocnina" }, ["render"] = "8 - ((8 - 4\\frac{2}{3}) \\cdot -9)^2", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.13, bodu=14, $$\frac{3 \cdot 9}{8}=\textcolor{white}{3{,}375}$$return { ["body"] = 14, ["id"] = "PjACRa_0426_0653", ["obtiznost"] = 0.13, ["reseni"] = { ["float"] = 3.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "\\frac{27}{8}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{3}{8}", ["tex_float"] = "3{,}375", ["x"] = 3, ["y"] = 3, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{3 \\cdot 9}{8}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.14, bodu=14, $$\frac{-6 \cdot 3}{7}=\textcolor{white}{-2\frac{4}{7}}$$return { ["body"] = 14, ["id"] = "FTwT9X_0426_0653", ["obtiznost"] = 0.14, ["reseni"] = { ["float"] = -2.5714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-18}{7}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{4}{7}", ["x"] = -2, ["y"] = 4, ["z"] = 7 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.14", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 \\cdot 3}{7}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.15, bodu=18, $$\frac{(4 - 7)^2}{(\frac{7}{9})^2}=\textcolor{white}{14\frac{43}{49}}$$return { ["body"] = 18, ["id"] = "ph4wnc_0426_0653", ["obtiznost"] = 0.206, ["reseni"] = { ["float"] = 14.877551020408, ["objekt"] = { ["hodnota"] = { ["citatel"] = 729, ["jmenovatel"] = 49 }, ["render"] = "\\frac{729}{49}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{43}{49}", ["x"] = 14, ["y"] = 43, ["z"] = 49 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.15", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4 - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7}{9})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{(4 - 7)^2}{(\\frac{7}{9})^2}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.16, bodu=21, $$\frac{\frac{(6 - 12)^3}{-6}}{10}=\textcolor{white}{3{,}6}$$return { ["body"] = 21, ["id"] = "m3igtz_0426_0653", ["obtiznost"] = 0.2468, ["reseni"] = { ["float"] = 3.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "\\frac{36}{10}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{3}{5}", ["tex_float"] = "3{,}6", ["x"] = 3, ["y"] = 3, ["z"] = 5 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(6 - 12)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{(6 - 12)^3}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{(6 - 12)^3}{-6}}{10}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.17, bodu=16, $$\frac{3}{7} \cdot 7=\textcolor{white}{3}$$return { ["body"] = 16, ["id"] = "56JoDT_0426_0653", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "\\frac{21}{7}", ["typ"] = "cislo" }, ["tex"] = "3", ["x"] = 3 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{7} \\cdot 7", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.18, bodu=8, $$9 \cdot 8 \cdot 7=\textcolor{white}{504}$$return { ["body"] = 8, ["id"] = "AVpGTs_0426_0653", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 504, ["jmenovatel"] = 1 }, ["render"] = "\\frac{504}{1}", ["typ"] = "cislo" }, ["tex"] = "504", ["x"] = 504 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8 \\cdot 7", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.19, bodu=17, $$(7 + 4) \cdot \frac{9}{-12}=\textcolor{white}{-8{,}25}$$return { ["body"] = 17, ["id"] = "dx9I6J_0426_0653", ["obtiznost"] = 0.19, ["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"] = "ITKwIIrIfoLQ5cI3BlUp_0.19", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 + 4", ["typ"] = "plus" }, ["render"] = "(7 + 4)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-12}", ["typ"] = "lomeno" }, ["render"] = "(7 + 4) \\cdot \\frac{9}{-12}", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.2, bodu=32, $$-8 - \frac{2\frac{5}{8}}{-5 - 7}=\textcolor{white}{-7\frac{25}{32}}$$return { ["body"] = 32, ["id"] = "CifCUf_0426_0653", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = -7.78125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -249, ["jmenovatel"] = 32 }, ["render"] = "\\frac{-249}{32}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{25}{32}", ["x"] = -7, ["y"] = 25, ["z"] = 32 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-5 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{5}{8}}{-5 - 7}", ["typ"] = "lomeno" }, ["render"] = "-8 - \\frac{2\\frac{5}{8}}{-5 - 7}", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.21, bodu=52, $$\frac{\frac{2\frac{5}{8}}{1\frac{5}{6}}}{-11 + 9 - (-6)}=\textcolor{white}{\frac{63}{176}}$$return { ["body"] = 52, ["id"] = "Rg6fUE_0426_0653", ["obtiznost"] = 0.61, ["reseni"] = { ["float"] = 0.35795454545455, ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 176 }, ["render"] = "\\frac{63}{176}", ["typ"] = "cislo" }, ["tex"] = "\\frac{63}{176}", ["y"] = 63, ["z"] = 176 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{8}}{1\\frac{5}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-11 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-11 + 9 - (-6)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{2\\frac{5}{8}}{1\\frac{5}{6}}}{-11 + 9 - (-6)}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.22, bodu=9, $$(-7 + 8) \cdot -8 \cdot 10=\textcolor{white}{-80}$$return { ["body"] = 9, ["id"] = "BHKWml_0426_0653", ["obtiznost"] = 0.22, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -80, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-80}{1}", ["typ"] = "cislo" }, ["tex"] = "-80", ["tex_float"] = "-80", ["x"] = -80 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-7 + 8", ["typ"] = "plus" }, ["render"] = "(-7 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(-7 + 8) \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(-7 + 8) \\cdot -8 \\cdot 10", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.23, bodu=35, $$\frac{10}{10 \cdot 8 - 1\frac{5}{7}}=\textcolor{white}{\frac{35}{274}}$$return { ["body"] = 35, ["id"] = "K8zuX2_0426_0653", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 0.12773722627737, ["objekt"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 274 }, ["render"] = "\\frac{70}{548}", ["typ"] = "cislo" }, ["tex"] = "\\frac{35}{274}", ["y"] = 35, ["z"] = 274 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8 - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{10}{10 \\cdot 8 - 1\\frac{5}{7}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.24, bodu=20, $$\frac{-5 \cdot (11 - 6)}{6}=\textcolor{white}{-4\frac{1}{6}}$$return { ["body"] = 20, ["id"] = "KqgiYZ_0426_0653", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = -4.1666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -25, ["jmenovatel"] = 6 }, ["render"] = "\\frac{-25}{6}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{1}{6}", ["x"] = -4, ["y"] = 1, ["z"] = 6 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "11 - 6", ["typ"] = "minus" }, ["render"] = "(11 - 6)", ["typ"] = "zavorka" }, ["render"] = "-5 \\cdot (11 - 6)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 \\cdot (11 - 6)}{6}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.25, bodu=21, $$\frac{6 \cdot (-10 + 13)^2 + 11}{8}=\textcolor{white}{8{,}125}$$return { ["body"] = 21, ["id"] = "3pnlg2_0426_0653", ["obtiznost"] = 0.254, ["reseni"] = { ["float"] = 8.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 8 }, ["render"] = "\\frac{65}{8}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{1}{8}", ["tex_float"] = "8{,}125", ["x"] = 8, ["y"] = 1, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-10 + 13", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-10 + 13)^2", ["typ"] = "mocnina" }, ["render"] = "6 \\cdot (-10 + 13)^2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot (-10 + 13)^2 + 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{6 \\cdot (-10 + 13)^2 + 11}{8}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.26, bodu=12, $$(13 + (-11))^4 \cdot (13 - 9)^3 - (-5)=\textcolor{white}{1029}$$return { ["body"] = 12, ["id"] = "QclHRi_0426_0653", ["obtiznost"] = 0.2928, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1029, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1029}{1}", ["typ"] = "cislo" }, ["tex"] = "1029", ["x"] = 1029 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "13 + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(13 + (-11))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 - 9", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(13 - 9)^3", ["typ"] = "mocnina" }, ["render"] = "(13 + (-11))^4 \\cdot (13 - 9)^3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "(13 + (-11))^4 \\cdot (13 - 9)^3 - (-5)", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.27, bodu=11, $$7 - (-2) + 7 - (11 - 6)=\textcolor{white}{11}$$return { ["body"] = 11, ["id"] = "5iF87n_0426_0653", ["obtiznost"] = 0.27, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "\\frac{11}{1}", ["typ"] = "cislo" }, ["tex"] = "11", ["tex_float"] = "11", ["x"] = 11 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "7 - (-2)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - (-2) + 7", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "11 - 6", ["typ"] = "minus" }, ["render"] = "(11 - 6)", ["typ"] = "zavorka" }, ["render"] = "7 - (-2) + 7 - (11 - 6)", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.28, bodu=23, $$\frac{6 + 5}{\frac{-9}{5}}=\textcolor{white}{-6\frac{1}{9}}$$return { ["body"] = 23, ["id"] = "wkXDQZ_0426_0653", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = -6.1111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -55, ["jmenovatel"] = 9 }, ["render"] = "\\frac{55}{-9}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{1}{9}", ["x"] = -6, ["y"] = 1, ["z"] = 9 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 + 5", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{5}", ["typ"] = "lomeno" }, ["render"] = "\\frac{6 + 5}{\\frac{-9}{5}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.29, bodu=40, $$\frac{-3 - 13 + 8}{\frac{3\frac{2}{7}}{13}}=\textcolor{white}{-31\frac{15}{23}}$$return { ["body"] = 40, ["id"] = "eC7XHm_0426_0653", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = -31.652173913043, ["objekt"] = { ["hodnota"] = { ["citatel"] = -728, ["jmenovatel"] = 23 }, ["render"] = "\\frac{-728}{23}", ["typ"] = "cislo" }, ["tex"] = "-31\\frac{15}{23}", ["x"] = -31, ["y"] = 15, ["z"] = 23 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-3 - 13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-3 - 13 + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-3 - 13 + 8}{\\frac{3\\frac{2}{7}}{13}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.3, bodu=24, $$\frac{\frac{4}{8 \cdot 3}}{8}=\textcolor{white}{\frac{1}{48}}$$return { ["body"] = 24, ["id"] = "TtFrIg_0426_0653", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 0.020833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 48 }, ["render"] = "\\frac{1}{48}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{48}", ["y"] = 1, ["z"] = 48 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 3", ["typ"] = "krat" }, ["render"] = "\\frac{4}{8 \\cdot 3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4}{8 \\cdot 3}}{8}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.31, bodu=25, $$8 + \frac{11}{\frac{8}{5}}=\textcolor{white}{14{,}875}$$return { ["body"] = 25, ["id"] = "eiIGUv_0426_0653", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = 14.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 119, ["jmenovatel"] = 8 }, ["render"] = "\\frac{119}{8}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{7}{8}", ["tex_float"] = "14{,}875", ["x"] = 14, ["y"] = 7, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{5}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11}{\\frac{8}{5}}", ["typ"] = "lomeno" }, ["render"] = "8 + \\frac{11}{\\frac{8}{5}}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.32, bodu=14, $$(11 + 8 - (-8)) \cdot ((6 + (-10))^3 + 4)=\textcolor{white}{-1620}$$return { ["body"] = 14, ["id"] = "xdcItr_0426_0653", ["obtiznost"] = 0.346, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1620, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1620}{1}", ["typ"] = "cislo" }, ["tex"] = "-1620", ["x"] = -1620 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.32", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 - (-8)", ["typ"] = "minus" }, ["render"] = "11 + 8 - (-8)", ["typ"] = "plus" }, ["render"] = "(11 + 8 - (-8))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "6 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(6 + (-10))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(6 + (-10))^3 + 4", ["typ"] = "plus" }, ["render"] = "((6 + (-10))^3 + 4)", ["typ"] = "zavorka" }, ["render"] = "(11 + 8 - (-8)) \\cdot ((6 + (-10))^3 + 4)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.33, bodu=44, $$9 \cdot (12 + 2\frac{5}{9} - 11) \cdot 10=\textcolor{white}{320}$$return { ["body"] = 44, ["id"] = "yJJDkN_0426_0653", ["obtiznost"] = 0.53, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 320, ["jmenovatel"] = 1 }, ["render"] = "\\frac{320}{1}", ["typ"] = "cislo" }, ["tex"] = "320", ["tex_float"] = "320", ["x"] = 320 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{9} - 11", ["typ"] = "minus" }, ["render"] = "12 + 2\\frac{5}{9} - 11", ["typ"] = "plus" }, ["render"] = "(12 + 2\\frac{5}{9} - 11)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot (12 + 2\\frac{5}{9} - 11)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 \\cdot (12 + 2\\frac{5}{9} - 11) \\cdot 10", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.34, bodu=27, $$\frac{\frac{-13}{9}}{9 + 8}=\textcolor{white}{-\frac{13}{153}}$$return { ["body"] = 27, ["id"] = "4zuclM_0426_0653", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = -0.084967320261438, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 153 }, ["render"] = "\\frac{-13}{153}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{153}", ["y"] = -13, ["z"] = 153 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-13}{9}}{9 + 8}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.35, bodu=46, $$(\frac{8}{3\frac{4}{7}} - 8) \cdot -9=\textcolor{white}{51{,}84}$$return { ["body"] = 46, ["id"] = "yHUVS1_0426_0653", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = 51.84, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1296, ["jmenovatel"] = 25 }, ["render"] = "\\frac{1296}{25}", ["typ"] = "cislo" }, ["tex"] = "51\\frac{21}{25}", ["tex_float"] = "51{,}84", ["x"] = 51, ["y"] = 21, ["z"] = 25 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.35", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{3\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{3\\frac{4}{7}} - 8", ["typ"] = "minus" }, ["render"] = "(\\frac{8}{3\\frac{4}{7}} - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(\\frac{8}{3\\frac{4}{7}} - 8) \\cdot -9", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.36, bodu=69, $$4\frac{2}{9} + 8 \cdot \frac{5}{1\frac{4}{7}}=\textcolor{white}{29\frac{67}{99}}$$return { ["body"] = 69, ["id"] = "bBeo3d_0426_0653", ["obtiznost"] = 0.76, ["reseni"] = { ["float"] = 29.676767676768, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2938, ["jmenovatel"] = 99 }, ["render"] = "\\frac{2938}{99}", ["typ"] = "cislo" }, ["tex"] = "29\\frac{67}{99}", ["x"] = 29, ["y"] = 67, ["z"] = 99 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.36", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{1\\frac{4}{7}}", ["typ"] = "lomeno" }, ["render"] = "8 \\cdot \\frac{5}{1\\frac{4}{7}}", ["typ"] = "krat" }, ["render"] = "4\\frac{2}{9} + 8 \\cdot \\frac{5}{1\\frac{4}{7}}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.37, bodu=48, $$\frac{\frac{9 + 2\frac{2}{6}}{-7}}{15 + 12}=\textcolor{white}{-\frac{34}{567}}$$return { ["body"] = 48, ["id"] = "CqLPQ2_0426_0653", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = -0.059964726631393, ["objekt"] = { ["hodnota"] = { ["citatel"] = -34, ["jmenovatel"] = 567 }, ["render"] = "\\frac{-34}{567}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{34}{567}", ["y"] = -34, ["z"] = 567 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "9 + 2\\frac{2}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 2\\frac{2}{6}}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "15 + 12", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{9 + 2\\frac{2}{6}}{-7}}{15 + 12}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.38, bodu=71, $$\frac{7}{\frac{4\frac{3}{9}}{10}} - 1\frac{3}{5}=\textcolor{white}{14\frac{36}{65}}$$return { ["body"] = 71, ["id"] = "YNbfQJ_0426_0653", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = 14.553846153846, ["objekt"] = { ["hodnota"] = { ["citatel"] = 946, ["jmenovatel"] = 65 }, ["render"] = "\\frac{946}{65}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{36}{65}", ["x"] = 14, ["y"] = 36, ["z"] = 65 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{9}}{10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{4\\frac{3}{9}}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{\\frac{4\\frac{3}{9}}{10}} - 1\\frac{3}{5}", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.39, bodu=17, $$5 \cdot ((8 - 5)^4 - 3)=\textcolor{white}{390}$$return { ["body"] = 17, ["id"] = "b76PDm_0426_0653", ["obtiznost"] = 0.4228, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 390, ["jmenovatel"] = 1 }, ["render"] = "\\frac{390}{1}", ["typ"] = "cislo" }, ["tex"] = "390", ["x"] = 390 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.39", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "8 - 5", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(8 - 5)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(8 - 5)^4 - 3", ["typ"] = "minus" }, ["render"] = "((8 - 5)^4 - 3)", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot ((8 - 5)^4 - 3)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.4, bodu=51, $$(-6 + 9 - (-11)) \cdot (-11 + 4\frac{5}{12} + (10 + (-9))^2)=\textcolor{white}{-78\frac{1}{6}}$$return { ["body"] = 51, ["id"] = "ivITup_0426_0653", ["obtiznost"] = 0.6008, ["reseni"] = { ["float"] = -78.166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -469, ["jmenovatel"] = 6 }, ["render"] = "\\frac{-938}{12}", ["typ"] = "cislo" }, ["tex"] = "-78\\frac{1}{6}", ["x"] = -78, ["y"] = 1, ["z"] = 6 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.4", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "9 - (-11)", ["typ"] = "minus" }, ["render"] = "-6 + 9 - (-11)", ["typ"] = "plus" }, ["render"] = "(-6 + 9 - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "10 + (-9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(10 + (-9))^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{5}{12} + (10 + (-9))^2", ["typ"] = "plus" }, ["render"] = "-11 + 4\\frac{5}{12} + (10 + (-9))^2", ["typ"] = "plus" }, ["render"] = "(-11 + 4\\frac{5}{12} + (10 + (-9))^2)", ["typ"] = "zavorka" }, ["render"] = "(-6 + 9 - (-11)) \\cdot (-11 + 4\\frac{5}{12} + (10 + (-9))^2)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.41, bodu=87, $$(-13 + (-12 + (-3) + 3\frac{4}{8}) + (-15)) \cdot (-5 - 4)^3=\textcolor{white}{28795{,}5}$$return { ["body"] = 87, ["id"] = "oedfIY_0426_0653", ["obtiznost"] = 0.902, ["reseni"] = { ["float"] = 28795.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 57591, ["jmenovatel"] = 2 }, ["render"] = "\\frac{57591}{2}", ["typ"] = "cislo" }, ["tex"] = "28795\\frac{1}{2}", ["tex_float"] = "28795{,}5", ["x"] = 28795, ["y"] = 1, ["z"] = 2 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.41", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-12 + (-3)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-12 + (-3) + 3\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "-13 + (-12 + (-3) + 3\\frac{4}{8})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-13 + (-12 + (-3) + 3\\frac{4}{8}) + (-15)", ["typ"] = "plus" }, ["render"] = "(-13 + (-12 + (-3) + 3\\frac{4}{8}) + (-15))", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-5 - 4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-5 - 4)^3", ["typ"] = "mocnina" }, ["render"] = "(-13 + (-12 + (-3) + 3\\frac{4}{8}) + (-15)) \\cdot (-5 - 4)^3", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.42, bodu=59, $$((11 - 14)^3 - 4\frac{2}{4}) \cdot (3 - (-7))^2=\textcolor{white}{-3150}$$return { ["body"] = 59, ["id"] = "8294OV_0426_0653", ["obtiznost"] = 0.6716, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -3150, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6300}{2}", ["typ"] = "cislo" }, ["tex"] = "-3150", ["x"] = -3150 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.42", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "11 - 14", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(11 - 14)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "(11 - 14)^3 - 4\\frac{2}{4}", ["typ"] = "minus" }, ["render"] = "((11 - 14)^3 - 4\\frac{2}{4})", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "3 - (-7)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3 - (-7))^2", ["typ"] = "mocnina" }, ["render"] = "((11 - 14)^3 - 4\\frac{2}{4}) \\cdot (3 - (-7))^2", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.43, bodu=17, $$-11 \cdot -8 \cdot 9 - 13 - 8=\textcolor{white}{771}$$return { ["body"] = 17, ["id"] = "vSUC0h_0426_0653", ["obtiznost"] = 0.43, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 771, ["jmenovatel"] = 1 }, ["render"] = "\\frac{771}{1}", ["typ"] = "cislo" }, ["tex"] = "771", ["tex_float"] = "771", ["x"] = 771 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8 \\cdot 9 - 13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8 \\cdot 9 - 13 - 8", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.44, bodu=91, $$(\frac{-5}{(12 + 1\frac{1}{2})^2} - 10) \cdot 9=\textcolor{white}{-90\frac{20}{81}}$$return { ["body"] = 91, ["id"] = "Wr22iY_0426_0653", ["obtiznost"] = 0.9332, ["reseni"] = { ["float"] = -90.246913580247, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7310, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-65790}{729}", ["typ"] = "cislo" }, ["tex"] = "-90\\frac{20}{81}", ["x"] = -90, ["y"] = 20, ["z"] = 81 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.44", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "12 + 1\\frac{1}{2}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 1\\frac{1}{2})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-5}{(12 + 1\\frac{1}{2})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{(12 + 1\\frac{1}{2})^2} - 10", ["typ"] = "minus" }, ["render"] = "(\\frac{-5}{(12 + 1\\frac{1}{2})^2} - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(\\frac{-5}{(12 + 1\\frac{1}{2})^2} - 10) \\cdot 9", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.45, bodu=46, $$\frac{11 \cdot -9}{(9 + 15 - 8)^2}=\textcolor{white}{-\frac{99}{256}}$$return { ["body"] = 46, ["id"] = "8G8XwB_0426_0653", ["obtiznost"] = 0.5528, ["reseni"] = { ["float"] = -0.38671875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -99, ["jmenovatel"] = 256 }, ["render"] = "\\frac{-99}{256}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{99}{256}", ["y"] = -99, ["z"] = 256 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "15 - 8", ["typ"] = "minus" }, ["render"] = "9 + 15 - 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(9 + 15 - 8)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{11 \\cdot -9}{(9 + 15 - 8)^2}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.46, bodu=65, $$(\frac{-12}{8})^3 - (-10 - (-5))^4 \cdot -8=\textcolor{white}{4996{,}625}$$return { ["body"] = 65, ["id"] = "QtVr6o_0426_0653", ["obtiznost"] = 0.7244, ["reseni"] = { ["float"] = 4996.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 39973, ["jmenovatel"] = 8 }, ["render"] = "\\frac{39973}{8}", ["typ"] = "cislo" }, ["tex"] = "4996\\frac{5}{8}", ["tex_float"] = "4996{,}625", ["x"] = 4996, ["y"] = 5, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.46", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-12}{8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-10 - (-5)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-10 - (-5))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(-10 - (-5))^4 \\cdot -8", ["typ"] = "krat" }, ["render"] = "(\\frac{-12}{8})^3 - (-10 - (-5))^4 \\cdot -8", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.47, bodu=59, $$-9 + (-13 \cdot (12 + 2\frac{5}{9} + 10 + (-2)))=\textcolor{white}{-302\frac{2}{9}}$$return { ["body"] = 59, ["id"] = "wCVhDY_0426_0653", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = -302.22222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2720, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-2720}{9}", ["typ"] = "cislo" }, ["tex"] = "-302\\frac{2}{9}", ["x"] = -302, ["y"] = 2, ["z"] = 9 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "12 + 2\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 + 2\\frac{5}{9} + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "12 + 2\\frac{5}{9} + 10 + (-2)", ["typ"] = "plus" }, ["render"] = "(12 + 2\\frac{5}{9} + 10 + (-2))", ["typ"] = "zavorka" }, ["render"] = "-13 \\cdot (12 + 2\\frac{5}{9} + 10 + (-2))", ["typ"] = "krat" }, ["render"] = "-9 + (-13 \\cdot (12 + 2\\frac{5}{9} + 10 + (-2)))", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.48, bodu=113, $$\frac{(\frac{4\frac{4}{8}}{-12})^3}{-11} - (11 - 4\frac{3}{9})=\textcolor{white}{-6\frac{11183}{16896}}$$return { ["body"] = 113, ["id"] = "35qSpd_0426_0653", ["obtiznost"] = 1.0956, ["reseni"] = { ["float"] = -6.6618726325758, ["objekt"] = { ["hodnota"] = { ["citatel"] = -112559, ["jmenovatel"] = 16896 }, ["render"] = "\\frac{-112559}{16896}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{11183}{16896}", ["x"] = -6, ["y"] = 11183, ["z"] = 16896 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{4\\frac{4}{8}}{-12})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{4\\frac{4}{8}}{-12})^3}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "11 - 4\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "(11 - 4\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "\\frac{(\\frac{4\\frac{4}{8}}{-12})^3}{-11} - (11 - 4\\frac{3}{9})", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.49, bodu=72, $$(-13 - 2)^2 \cdot -8 \cdot (1\frac{4}{10} + (-3))=\textcolor{white}{2880}$$return { ["body"] = 72, ["id"] = "Gt9dAe_0426_0653", ["obtiznost"] = 0.7804, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2880, ["jmenovatel"] = 1 }, ["render"] = "\\frac{14400}{5}", ["typ"] = "cislo" }, ["tex"] = "2880", ["tex_float"] = "2880", ["x"] = 2880 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.49", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "-13 - 2", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-13 - 2)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} + (-3)", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{10} + (-3))", ["typ"] = "zavorka" }, ["render"] = "-8 \\cdot (1\\frac{4}{10} + (-3))", ["typ"] = "krat" }, ["render"] = "(-13 - 2)^2 \\cdot -8 \\cdot (1\\frac{4}{10} + (-3))", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.5, bodu=62, $$-12 \cdot \frac{4\frac{5}{7}}{8} \cdot 13=\textcolor{white}{-91\frac{13}{14}}$$return { ["body"] = 62, ["id"] = "JRXnKW_0426_0653", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = -91.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1287, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-1287}{14}", ["typ"] = "cislo" }, ["tex"] = "-91\\frac{13}{14}", ["x"] = -91, ["y"] = 13, ["z"] = 14 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{7}}{8}", ["typ"] = "lomeno" }, ["render"] = "-12 \\cdot \\frac{4\\frac{5}{7}}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot \\frac{4\\frac{5}{7}}{8} \\cdot 13", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.51, bodu=63, $$-10 - (-13 - 2\frac{1}{6}) + (-18) - (16 - (-6))=\textcolor{white}{-34\frac{5}{6}}$$return { ["body"] = 63, ["id"] = "Gbm2eB_0426_0653", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = -34.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -209, ["jmenovatel"] = 6 }, ["render"] = "\\frac{-209}{6}", ["typ"] = "cislo" }, ["tex"] = "-34\\frac{5}{6}", ["x"] = -34, ["y"] = 5, ["z"] = 6 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-13 - 2\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "(-13 - 2\\frac{1}{6})", ["typ"] = "zavorka" }, ["render"] = "-10 - (-13 - 2\\frac{1}{6})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "-10 - (-13 - 2\\frac{1}{6}) + (-18)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "16 - (-6)", ["typ"] = "minus" }, ["render"] = "(16 - (-6))", ["typ"] = "zavorka" }, ["render"] = "-10 - (-13 - 2\\frac{1}{6}) + (-18) - (16 - (-6))", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.52, bodu=116, $$3\frac{4}{9} \cdot (3\frac{1}{5} \cdot 6 + 14 - 1\frac{2}{6})=\textcolor{white}{109\frac{103}{135}}$$return { ["body"] = 116, ["id"] = "tDmM0Q_0426_0653", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = 109.76296296296, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14818, ["jmenovatel"] = 135 }, ["render"] = "\\frac{14818}{135}", ["typ"] = "cislo" }, ["tex"] = "109\\frac{103}{135}", ["x"] = 109, ["y"] = 103, ["z"] = 135 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.52", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 6 + 14", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 6 + 14 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{5} \\cdot 6 + 14 - 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{9} \\cdot (3\\frac{1}{5} \\cdot 6 + 14 - 1\\frac{2}{6})", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.53, bodu=118, $$\frac{1\frac{3}{6} \cdot \frac{3\frac{5}{10}}{4\frac{1}{6}}}{16}=\textcolor{white}{\frac{63}{800}}$$return { ["body"] = 118, ["id"] = "QLNFzf_0426_0653", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = 0.07875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 800 }, ["render"] = "\\frac{63}{800}", ["typ"] = "cislo" }, ["tex"] = "\\frac{63}{800}", ["y"] = 63, ["z"] = 800 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{3}{6} \\cdot \\frac{3\\frac{5}{10}}{4\\frac{1}{6}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6} \\cdot \\frac{3\\frac{5}{10}}{4\\frac{1}{6}}}{16}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.54, bodu=84, $$\frac{(\frac{11}{3\frac{1}{7}})^3 \cdot (-11 + 12)}{9}=\textcolor{white}{4\frac{55}{72}}$$return { ["body"] = 84, ["id"] = "YCjPO5_0426_0653", ["obtiznost"] = 0.8804, ["reseni"] = { ["float"] = 4.7638888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 343, ["jmenovatel"] = 72 }, ["render"] = "\\frac{343}{72}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{55}{72}", ["x"] = 4, ["y"] = 55, ["z"] = 72 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{11}{3\\frac{1}{7}})^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 + 12", ["typ"] = "plus" }, ["render"] = "(-11 + 12)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{11}{3\\frac{1}{7}})^3 \\cdot (-11 + 12)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{11}{3\\frac{1}{7}})^3 \\cdot (-11 + 12)}{9}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.55, bodu=68, $$2\frac{4}{6} - (10 - 12) + (-7 \cdot 5)=\textcolor{white}{-30\frac{1}{3}}$$return { ["body"] = 68, ["id"] = "rI84kW_0426_0653", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = -30.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -91, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-91}{3}", ["typ"] = "cislo" }, ["tex"] = "-30\\frac{1}{3}", ["x"] = -30, ["y"] = 1, ["z"] = 3 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "10 - 12", ["typ"] = "minus" }, ["render"] = "(10 - 12)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{4}{6} - (10 - 12)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 5", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{6} - (10 - 12) + (-7 \\cdot 5)", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.56, bodu=124, $$1\frac{4}{7} \cdot (5 \cdot 1\frac{2}{10})^2 - (-4 + 4\frac{1}{6})=\textcolor{white}{56\frac{17}{42}}$$return { ["body"] = 124, ["id"] = "gRagtr_0426_0653", ["obtiznost"] = 1.1748, ["reseni"] = { ["float"] = 56.404761904762, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2369, ["jmenovatel"] = 42 }, ["render"] = "\\frac{2369}{42}", ["typ"] = "cislo" }, ["tex"] = "56\\frac{17}{42}", ["x"] = 56, ["y"] = 17, ["z"] = 42 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 1\\frac{2}{10}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(5 \\cdot 1\\frac{2}{10})^2", ["typ"] = "mocnina" }, ["render"] = "1\\frac{4}{7} \\cdot (5 \\cdot 1\\frac{2}{10})^2", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-4 + 4\\frac{1}{6}", ["typ"] = "plus" }, ["render"] = "(-4 + 4\\frac{1}{6})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{7} \\cdot (5 \\cdot 1\\frac{2}{10})^2 - (-4 + 4\\frac{1}{6})", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.57, bodu=99, $$(8 + 3\frac{1}{6}) \cdot ((15 + (-14 - 5))^3 + 3\frac{2}{8})=\textcolor{white}{-678{,}375}$$return { ["body"] = 99, ["id"] = "rzH5Tk_0426_0653", ["obtiznost"] = 0.996, ["reseni"] = { ["float"] = -678.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5427, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-16281}{24}", ["typ"] = "cislo" }, ["tex"] = "-678\\frac{3}{8}", ["tex_float"] = "-678{,}375", ["x"] = -678, ["y"] = 3, ["z"] = 8 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.57", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "8 + 3\\frac{1}{6}", ["typ"] = "plus" }, ["render"] = "(8 + 3\\frac{1}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-14 - 5", ["typ"] = "minus" }, ["render"] = "15 + (-14 - 5)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(15 + (-14 - 5))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "(15 + (-14 - 5))^3 + 3\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "((15 + (-14 - 5))^3 + 3\\frac{2}{8})", ["typ"] = "zavorka" }, ["render"] = "(8 + 3\\frac{1}{6}) \\cdot ((15 + (-14 - 5))^3 + 3\\frac{2}{8})", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.58, bodu=97, $$12 \cdot \frac{15 + 2\frac{1}{7}}{-6 + 1\frac{1}{5}}=\textcolor{white}{-42\frac{6}{7}}$$return { ["body"] = 97, ["id"] = "WcJq1c_0426_0653", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = -42.857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -300, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-300}{7}", ["typ"] = "cislo" }, ["tex"] = "-42\\frac{6}{7}", ["x"] = -42, ["y"] = 6, ["z"] = 7 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.58", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "15 + 2\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-6 + 1\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{15 + 2\\frac{1}{7}}{-6 + 1\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "12 \\cdot \\frac{15 + 2\\frac{1}{7}}{-6 + 1\\frac{1}{5}}", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.59, bodu=126, $$\frac{6 - 1\frac{3}{6}}{11 \cdot (3\frac{1}{4} + 1\frac{2}{10})}=\textcolor{white}{\frac{90}{979}}$$return { ["body"] = 126, ["id"] = "UUd998_0426_0653", ["obtiznost"] = 1.19, ["reseni"] = { ["float"] = 0.091930541368744, ["objekt"] = { ["hodnota"] = { ["citatel"] = 90, ["jmenovatel"] = 979 }, ["render"] = "\\frac{180}{1958}", ["typ"] = "cislo" }, ["tex"] = "\\frac{90}{979}", ["y"] = 90, ["z"] = 979 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "6 - 1\\frac{3}{6}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} + 1\\frac{2}{10}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{4} + 1\\frac{2}{10})", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (3\\frac{1}{4} + 1\\frac{2}{10})", ["typ"] = "krat" }, ["render"] = "\\frac{6 - 1\\frac{3}{6}}{11 \\cdot (3\\frac{1}{4} + 1\\frac{2}{10})}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.6, bodu=74, $$\frac{12 \cdot 7}{(4\frac{3}{6} - (-7)) \cdot 10}=\textcolor{white}{\frac{84}{115}}$$return { ["body"] = 74, ["id"] = "x7ILk6_0426_0653", ["obtiznost"] = 0.8, ["reseni"] = { ["float"] = 0.7304347826087, ["objekt"] = { ["hodnota"] = { ["citatel"] = 84, ["jmenovatel"] = 115 }, ["render"] = "\\frac{84}{115}", ["typ"] = "cislo" }, ["tex"] = "\\frac{84}{115}", ["y"] = 84, ["z"] = 115 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} - (-7)", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{6} - (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{6} - (-7)) \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{12 \\cdot 7}{(4\\frac{3}{6} - (-7)) \\cdot 10}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.61, bodu=129, $$-8 + (-17) + \frac{3\frac{3}{5}}{-4} + 4\frac{4}{9} - 1\frac{2}{7} + (-12)=\textcolor{white}{-34\frac{467}{630}}$$return { ["body"] = 129, ["id"] = "0M0IJy_0426_0653", ["obtiznost"] = 1.21, ["reseni"] = { ["float"] = -34.74126984127, ["objekt"] = { ["hodnota"] = { ["citatel"] = -21887, ["jmenovatel"] = 630 }, ["render"] = "\\frac{-21887}{630}", ["typ"] = "cislo" }, ["tex"] = "-34\\frac{467}{630}", ["x"] = -34, ["y"] = 467, ["z"] = 630 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-8 + (-17)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{5}}{-4}", ["typ"] = "lomeno" }, ["render"] = "-8 + (-17) + \\frac{3\\frac{3}{5}}{-4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - 1\\frac{2}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - 1\\frac{2}{7} + (-12)", ["typ"] = "plus" }, ["render"] = "-8 + (-17) + \\frac{3\\frac{3}{5}}{-4} + 4\\frac{4}{9} - 1\\frac{2}{7} + (-12)", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.62, bodu=78, $$\frac{(\frac{16}{4\frac{4}{11}} + (7 - 4)^3) \cdot -14}{10}=\textcolor{white}{-42\frac{14}{15}}$$return { ["body"] = 78, ["id"] = "eaTCes_0426_0653", ["obtiznost"] = 0.8312, ["reseni"] = { ["float"] = -42.933333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -644, ["jmenovatel"] = 15 }, ["render"] = "\\frac{-1288}{30}", ["typ"] = "cislo" }, ["tex"] = "-42\\frac{14}{15}", ["x"] = -42, ["y"] = 14, ["z"] = 15 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{4\\frac{4}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 - 4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(7 - 4)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{16}{4\\frac{4}{11}} + (7 - 4)^3", ["typ"] = "plus" }, ["render"] = "(\\frac{16}{4\\frac{4}{11}} + (7 - 4)^3)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(\\frac{16}{4\\frac{4}{11}} + (7 - 4)^3) \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{16}{4\\frac{4}{11}} + (7 - 4)^3) \\cdot -14}{10}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.63, bodu=123, $$1\frac{4}{10} + (3 + (-10))^3 - 14 \cdot \frac{4\frac{2}{7}}{15}=\textcolor{white}{-345{,}6}$$return { ["body"] = 123, ["id"] = "OcK6LU_0426_0653", ["obtiznost"] = 1.1676, ["reseni"] = { ["float"] = -345.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1728, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-1728}{5}", ["typ"] = "cislo" }, ["tex"] = "-345\\frac{3}{5}", ["tex_float"] = "-345{,}6", ["x"] = -345, ["y"] = 3, ["z"] = 5 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.63", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "3 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(3 + (-10))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{7}}{15}", ["typ"] = "lomeno" }, ["render"] = "14 \\cdot \\frac{4\\frac{2}{7}}{15}", ["typ"] = "krat" }, ["render"] = "(3 + (-10))^3 - 14 \\cdot \\frac{4\\frac{2}{7}}{15}", ["typ"] = "minus" }, ["render"] = "1\\frac{4}{10} + (3 + (-10))^3 - 14 \\cdot \\frac{4\\frac{2}{7}}{15}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.64, bodu=134, $$-6 - \frac{12}{18} + 4\frac{1}{7} \cdot (4\frac{2}{5} + 2\frac{1}{6})=\textcolor{white}{20\frac{113}{210}}$$return { ["body"] = 134, ["id"] = "2hkZO2_0426_0653", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 20.538095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4313, ["jmenovatel"] = 210 }, ["render"] = "\\frac{12939}{630}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{113}{210}", ["x"] = 20, ["y"] = 113, ["z"] = 210 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{18}", ["typ"] = "lomeno" }, ["render"] = "-6 - \\frac{12}{18}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} + 2\\frac{1}{6}", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{5} + 2\\frac{1}{6})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{1}{7} \\cdot (4\\frac{2}{5} + 2\\frac{1}{6})", ["typ"] = "krat" }, ["render"] = "-6 - \\frac{12}{18} + 4\\frac{1}{7} \\cdot (4\\frac{2}{5} + 2\\frac{1}{6})", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.65, bodu=135, $$4\frac{1}{6} + \frac{3\frac{5}{8}}{11} - 4\frac{3}{9} - 18 \cdot -11=\textcolor{white}{198\frac{43}{264}}$$return { ["body"] = 135, ["id"] = "na0uj4_0426_0653", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 198.16287878788, ["objekt"] = { ["hodnota"] = { ["citatel"] = 52315, ["jmenovatel"] = 264 }, ["render"] = "\\frac{52315}{264}", ["typ"] = "cislo" }, ["tex"] = "198\\frac{43}{264}", ["x"] = 198, ["y"] = 43, ["z"] = 264 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{8}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{8}}{11} - 4\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "4\\frac{1}{6} + \\frac{3\\frac{5}{8}}{11} - 4\\frac{3}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "18 \\cdot -11", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{6} + \\frac{3\\frac{5}{8}}{11} - 4\\frac{3}{9} - 18 \\cdot -11", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.66, bodu=108, $$\frac{\frac{11}{10}}{2\frac{1}{5}} - \frac{2\frac{1}{5}}{-12}=\textcolor{white}{\frac{41}{60}}$$return { ["body"] = 108, ["id"] = "AdeJSJ_0426_0653", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.68333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 60 }, ["render"] = "\\frac{82}{120}", ["typ"] = "cislo" }, ["tex"] = "\\frac{41}{60}", ["y"] = 41, ["z"] = 60 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{11}{10}}{2\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{-12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{11}{10}}{2\\frac{1}{5}} - \\frac{2\\frac{1}{5}}{-12}", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.67, bodu=83, $$3\frac{5}{7} - 7 - (-9 \cdot 3) - (6 - (-15))=\textcolor{white}{2\frac{5}{7}}$$return { ["body"] = 83, ["id"] = "G8V4aQ_0426_0653", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = 2.7142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "\\frac{19}{7}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{5}{7}", ["x"] = 2, ["y"] = 5, ["z"] = 7 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{7} - 7", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 3", ["typ"] = "krat" }, ["render"] = "3\\frac{5}{7} - 7 - (-9 \\cdot 3)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "6 - (-15)", ["typ"] = "minus" }, ["render"] = "(6 - (-15))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{5}{7} - 7 - (-9 \\cdot 3) - (6 - (-15))", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.68, bodu=84, $$\frac{13}{-21} \cdot -9 \cdot -17 \cdot 1\frac{2}{8}=\textcolor{white}{-118\frac{11}{28}}$$return { ["body"] = 84, ["id"] = "cjATZj_0426_0653", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = -118.39285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3315, ["jmenovatel"] = 28 }, ["render"] = "\\frac{-3315}{28}", ["typ"] = "cislo" }, ["tex"] = "-118\\frac{11}{28}", ["x"] = -118, ["y"] = 11, ["z"] = 28 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-21}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-21} \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot 1\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{13}{-21} \\cdot -9 \\cdot -17 \\cdot 1\\frac{2}{8}", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.69, bodu=165, $$\frac{\frac{16}{1\frac{3}{10}}}{12 - (\frac{1\frac{4}{5}}{4\frac{2}{10}})^3}=\textcolor{white}{1\frac{1723}{53157}}$$return { ["body"] = 165, ["id"] = "dBzIlg_0426_0653", ["obtiznost"] = 1.438, ["reseni"] = { ["float"] = 1.0324134168595, ["objekt"] = { ["hodnota"] = { ["citatel"] = 54880, ["jmenovatel"] = 53157 }, ["render"] = "\\frac{54880}{53157}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1723}{53157}", ["x"] = 1, ["y"] = 1723, ["z"] = 53157 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{1\\frac{3}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{5}}{4\\frac{2}{10}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{1\\frac{4}{5}}{4\\frac{2}{10}})^3", ["typ"] = "mocnina" }, ["render"] = "12 - (\\frac{1\\frac{4}{5}}{4\\frac{2}{10}})^3", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{16}{1\\frac{3}{10}}}{12 - (\\frac{1\\frac{4}{5}}{4\\frac{2}{10}})^3}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.7, bodu=143, $$\frac{\frac{-8}{2\frac{2}{7}} + (-21 - \frac{3\frac{4}{7}}{4\frac{5}{10}})}{-13}=\textcolor{white}{1\frac{1549}{1638}}$$return { ["body"] = 143, ["id"] = "7SQOVK_0426_0653", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 1.9456654456654, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3187, ["jmenovatel"] = 1638 }, ["render"] = "\\frac{-3187}{-1638}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1549}{1638}", ["x"] = 1, ["y"] = 1549, ["z"] = 1638 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{2\\frac{2}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{7}}{4\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "-21 - \\frac{3\\frac{4}{7}}{4\\frac{5}{10}}", ["typ"] = "minus" }, ["render"] = "\\frac{-8}{2\\frac{2}{7}} + (-21 - \\frac{3\\frac{4}{7}}{4\\frac{5}{10}})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-8}{2\\frac{2}{7}} + (-21 - \\frac{3\\frac{4}{7}}{4\\frac{5}{10}})}{-13}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.71, bodu=88, $$(-14 - (-15)) \cdot -3 \cdot (1\frac{5}{10} + 13 - (-8))=\textcolor{white}{-67{,}5}$$return { ["body"] = 88, ["id"] = "tAHxw1_0426_0653", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = -67.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -135, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-135}{2}", ["typ"] = "cislo" }, ["tex"] = "-67\\frac{1}{2}", ["tex_float"] = "-67{,}5", ["x"] = -67, ["y"] = 1, ["z"] = 2 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.71", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-14 - (-15)", ["typ"] = "minus" }, ["render"] = "(-14 - (-15))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} + 13 - (-8)", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{10} + 13 - (-8))", ["typ"] = "zavorka" }, ["render"] = "-3 \\cdot (1\\frac{5}{10} + 13 - (-8))", ["typ"] = "krat" }, ["render"] = "(-14 - (-15)) \\cdot -3 \\cdot (1\\frac{5}{10} + 13 - (-8))", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.72, bodu=89, $$\frac{12}{8 + 2\frac{1}{7} \cdot 13 + (-16 \cdot -11)}=\textcolor{white}{\frac{84}{1483}}$$return { ["body"] = 89, ["id"] = "od3Ey6_0426_0653", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 0.05664194200944, ["objekt"] = { ["hodnota"] = { ["citatel"] = 84, ["jmenovatel"] = 1483 }, ["render"] = "\\frac{84}{1483}", ["typ"] = "cislo" }, ["tex"] = "\\frac{84}{1483}", ["y"] = 84, ["z"] = 1483 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{7} \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot -11", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{7} \\cdot 13 + (-16 \\cdot -11)", ["typ"] = "plus" }, ["render"] = "8 + 2\\frac{1}{7} \\cdot 13 + (-16 \\cdot -11)", ["typ"] = "plus" }, ["render"] = "\\frac{12}{8 + 2\\frac{1}{7} \\cdot 13 + (-16 \\cdot -11)}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.73, bodu=90, $$\frac{9}{\frac{\frac{3\frac{2}{10}}{13}}{7} - (-5)}=\textcolor{white}{1\frac{1804}{2291}}$$return { ["body"] = 90, ["id"] = "zRhCjA_0426_0653", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = 1.787429070275, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4095, ["jmenovatel"] = 2291 }, ["render"] = "\\frac{4095}{2291}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1804}{2291}", ["x"] = 1, ["y"] = 1804, ["z"] = 2291 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{10}}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{2}{10}}{13}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{2}{10}}{13}}{7} - (-5)", ["typ"] = "minus" }, ["render"] = "\\frac{9}{\\frac{\\frac{3\\frac{2}{10}}{13}}{7} - (-5)}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.74, bodu=119, $$\frac{\frac{19}{8} + 4\frac{4}{5}}{4\frac{5}{12} \cdot 9}=\textcolor{white}{\frac{287}{1590}}$$return { ["body"] = 119, ["id"] = "OyQS7g_0426_0653", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = 0.18050314465409, ["objekt"] = { ["hodnota"] = { ["citatel"] = 287, ["jmenovatel"] = 1590 }, ["render"] = "\\frac{1148}{6360}", ["typ"] = "cislo" }, ["tex"] = "\\frac{287}{1590}", ["y"] = 287, ["z"] = 1590 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{8} + 4\\frac{4}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{12} \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{19}{8} + 4\\frac{4}{5}}{4\\frac{5}{12} \\cdot 9}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.75, bodu=151, $$\frac{1\frac{2}{6} + \frac{2\frac{4}{10}}{-13}}{-9 + 1\frac{5}{5} - 2\frac{1}{3}}=\textcolor{white}{-\frac{8}{65}}$$return { ["body"] = 151, ["id"] = "l5AZvy_0426_0653", ["obtiznost"] = 1.35, ["reseni"] = { ["float"] = -0.12307692307692, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 65 }, ["render"] = "\\frac{672}{-5460}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{8}{65}", ["y"] = -8, ["z"] = 65 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{10}}{-13}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{6} + \\frac{2\\frac{4}{10}}{-13}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "1\\frac{5}{5}", ["typ"] = "cislo" }, ["render"] = "-9 + 1\\frac{5}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "-9 + 1\\frac{5}{5} - 2\\frac{1}{3}", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{2}{6} + \\frac{2\\frac{4}{10}}{-13}}{-9 + 1\\frac{5}{5} - 2\\frac{1}{3}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.76, bodu=134, $$\frac{\frac{((12 + (-9))^2 + 8)^2}{(9 - (-11))^2}}{2\frac{5}{8}}=\textcolor{white}{\frac{289}{1050}}$$return { ["body"] = 134, ["id"] = "2utFK0_0426_0653", ["obtiznost"] = 1.2404, ["reseni"] = { ["float"] = 0.2752380952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 289, ["jmenovatel"] = 1050 }, ["render"] = "\\frac{2312}{8400}", ["typ"] = "cislo" }, ["tex"] = "\\frac{289}{1050}", ["y"] = 289, ["z"] = 1050 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "12 + (-9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + (-9))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(12 + (-9))^2 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "((12 + (-9))^2 + 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "9 - (-11)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - (-11))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{((12 + (-9))^2 + 8)^2}{(9 - (-11))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{((12 + (-9))^2 + 8)^2}{(9 - (-11))^2}}{2\\frac{5}{8}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.77, bodu=95, $$\frac{-14}{(-6 + \frac{1\frac{2}{8}}{20}) \cdot -14}=\textcolor{white}{-\frac{16}{95}}$$return { ["body"] = 95, ["id"] = "QzXfJQ_0426_0653", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = -0.16842105263158, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 95 }, ["render"] = "\\frac{-112}{665}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{16}{95}", ["y"] = -16, ["z"] = 95 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.77", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{8}}{20}", ["typ"] = "lomeno" }, ["render"] = "-6 + \\frac{1\\frac{2}{8}}{20}", ["typ"] = "plus" }, ["render"] = "(-6 + \\frac{1\\frac{2}{8}}{20})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(-6 + \\frac{1\\frac{2}{8}}{20}) \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{-14}{(-6 + \\frac{1\\frac{2}{8}}{20}) \\cdot -14}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.78, bodu=104, $$\frac{1\frac{5}{6} - (-12 - (-17))^3 + (-18)}{15 - 9}=\textcolor{white}{-23\frac{19}{36}}$$return { ["body"] = 104, ["id"] = "cJXZba_0426_0653", ["obtiznost"] = 1.0304, ["reseni"] = { ["float"] = -23.527777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -847, ["jmenovatel"] = 36 }, ["render"] = "\\frac{-847}{36}", ["typ"] = "cislo" }, ["tex"] = "-23\\frac{19}{36}", ["x"] = -23, ["y"] = 19, ["z"] = 36 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-12 - (-17)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-12 - (-17))^3", ["typ"] = "mocnina" }, ["render"] = "1\\frac{5}{6} - (-12 - (-17))^3", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} - (-12 - (-17))^3 + (-18)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "15 - 9", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{5}{6} - (-12 - (-17))^3 + (-18)}{15 - 9}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.79, bodu=157, $$1\frac{1}{5} \cdot 14 - 4\frac{4}{11} \cdot 13 - 3\frac{1}{4}=\textcolor{white}{-43\frac{39}{220}}$$return { ["body"] = 157, ["id"] = "NaDckz_0426_0653", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -43.177272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9499, ["jmenovatel"] = 220 }, ["render"] = "\\frac{-9499}{220}", ["typ"] = "cislo" }, ["tex"] = "-43\\frac{39}{220}", ["x"] = -43, ["y"] = 39, ["z"] = 220 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{11} \\cdot 13", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{5} \\cdot 14 - 4\\frac{4}{11} \\cdot 13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} \\cdot 14 - 4\\frac{4}{11} \\cdot 13 - 3\\frac{1}{4}", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.8, bodu=159, $$\frac{1\frac{2}{5} \cdot 4\frac{5}{8} - 1\frac{3}{12}}{17 \cdot -13 + 6 + 6}=\textcolor{white}{-0{,}025}$$return { ["body"] = 159, ["id"] = "wbgwCK_0426_0653", ["obtiznost"] = 1.4, ["reseni"] = { ["float"] = -0.025, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 40 }, ["render"] = "\\frac{209}{-8360}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{40}", ["tex_float"] = "-0{,}025", ["y"] = -1, ["z"] = 40 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} \\cdot 4\\frac{5}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} \\cdot 4\\frac{5}{8} - 1\\frac{3}{12}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "17 \\cdot -13", ["typ"] = "krat" }, ["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"] = "17 \\cdot -13 + 6 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{2}{5} \\cdot 4\\frac{5}{8} - 1\\frac{3}{12}}{17 \\cdot -13 + 6 + 6}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.81, bodu=129, $$\frac{\frac{-15}{15}}{1\frac{1}{9} + 13} - (-10 \cdot 3\frac{4}{8})=\textcolor{white}{34\frac{118}{127}}$$return { ["body"] = 129, ["id"] = "a0l7s2_0426_0653", ["obtiznost"] = 1.21, ["reseni"] = { ["float"] = 34.929133858268, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4436, ["jmenovatel"] = 127 }, ["render"] = "\\frac{4436}{127}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{118}{127}", ["x"] = 34, ["y"] = 118, ["z"] = 127 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} + 13", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-15}{15}}{1\\frac{1}{9} + 13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 3\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{-15}{15}}{1\\frac{1}{9} + 13} - (-10 \\cdot 3\\frac{4}{8})", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.82, bodu=102, $$\frac{-14 + (-9)}{(\frac{15}{-19} - (-11)) \cdot 1\frac{2}{10}}=\textcolor{white}{-1\frac{1021}{1164}}$$return { ["body"] = 102, ["id"] = "WvDi9Y_0426_0653", ["obtiznost"] = 1.02, ["reseni"] = { ["float"] = -1.877147766323, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2185, ["jmenovatel"] = 1164 }, ["render"] = "\\frac{-2185}{1164}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{1021}{1164}", ["x"] = -1, ["y"] = 1021, ["z"] = 1164 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-14 + (-9)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-19}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-19} - (-11)", ["typ"] = "minus" }, ["render"] = "(\\frac{15}{-19} - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "(\\frac{15}{-19} - (-11)) \\cdot 1\\frac{2}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{-14 + (-9)}{(\\frac{15}{-19} - (-11)) \\cdot 1\\frac{2}{10}}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.83, bodu=163, $$-7 - 1\frac{2}{7} - (\frac{-10}{1\frac{2}{5}} - 3\frac{4}{10} \cdot 10)=\textcolor{white}{32\frac{6}{7}}$$return { ["body"] = 163, ["id"] = "0Xhgqv_0426_0653", ["obtiznost"] = 1.43, ["reseni"] = { ["float"] = 32.857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 230, ["jmenovatel"] = 7 }, ["render"] = "\\frac{230}{7}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{6}{7}", ["x"] = 32, ["y"] = 6, ["z"] = 7 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "-7 - 1\\frac{2}{7}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{1\\frac{2}{5}} - 3\\frac{4}{10} \\cdot 10", ["typ"] = "minus" }, ["render"] = "(\\frac{-10}{1\\frac{2}{5}} - 3\\frac{4}{10} \\cdot 10)", ["typ"] = "zavorka" }, ["render"] = "-7 - 1\\frac{2}{7} - (\\frac{-10}{1\\frac{2}{5}} - 3\\frac{4}{10} \\cdot 10)", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.84, bodu=165, $$\frac{13}{\frac{2\frac{2}{5}}{14} \cdot 2\frac{5}{11}} \cdot (4\frac{2}{7} + (-15))=\textcolor{white}{-331\frac{1}{54}}$$return { ["body"] = 165, ["id"] = "Ebz1Tl_0426_0653", ["obtiznost"] = 1.44, ["reseni"] = { ["float"] = -331.01851851852, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17875, ["jmenovatel"] = 54 }, ["render"] = "\\frac{-375375}{1134}", ["typ"] = "cislo" }, ["tex"] = "-331\\frac{1}{54}", ["x"] = -331, ["y"] = 1, ["z"] = 54 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{5}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{5}}{14} \\cdot 2\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "\\frac{13}{\\frac{2\\frac{2}{5}}{14} \\cdot 2\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{7} + (-15)", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{7} + (-15))", ["typ"] = "zavorka" }, ["render"] = "\\frac{13}{\\frac{2\\frac{2}{5}}{14} \\cdot 2\\frac{5}{11}} \\cdot (4\\frac{2}{7} + (-15))", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.85, bodu=110, $$\frac{4\frac{5}{15}}{(\frac{-6}{-16})^2} \cdot (12 - 6 \cdot 11)=\textcolor{white}{-1664}$$return { ["body"] = 110, ["id"] = "YPzamB_0426_0653", ["obtiznost"] = 1.0792, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1664, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-44928}{27}", ["typ"] = "cislo" }, ["tex"] = "-1664", ["x"] = -1664 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{5}{15}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{-16}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-6}{-16})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{5}{15}}{(\\frac{-6}{-16})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 11", ["typ"] = "krat" }, ["render"] = "12 - 6 \\cdot 11", ["typ"] = "minus" }, ["render"] = "(12 - 6 \\cdot 11)", ["typ"] = "zavorka" }, ["render"] = "\\frac{4\\frac{5}{15}}{(\\frac{-6}{-16})^2} \\cdot (12 - 6 \\cdot 11)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.86, bodu=181, $$-12 \cdot (1\frac{3}{5} + 5) + 2\frac{3}{12} - (-18) - (-4 + 1\frac{4}{10})^2=\textcolor{white}{-65{,}71}$$return { ["body"] = 181, ["id"] = "Xzx9sM_0426_0653", ["obtiznost"] = 1.5376, ["reseni"] = { ["float"] = -65.71, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6571, ["jmenovatel"] = 100 }, ["render"] = "\\frac{-32855}{500}", ["typ"] = "cislo" }, ["tex"] = "-65\\frac{71}{100}", ["tex_float"] = "-65{,}71", ["x"] = -65, ["y"] = 71, ["z"] = 100 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{5} + 5", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{5} + 5)", ["typ"] = "zavorka" }, ["render"] = "-12 \\cdot (1\\frac{3}{5} + 5)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{12} - (-18)", ["typ"] = "minus" }, ["render"] = "-12 \\cdot (1\\frac{3}{5} + 5) + 2\\frac{3}{12} - (-18)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-4 + 1\\frac{4}{10}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-4 + 1\\frac{4}{10})^2", ["typ"] = "mocnina" }, ["render"] = "-12 \\cdot (1\\frac{3}{5} + 5) + 2\\frac{3}{12} - (-18) - (-4 + 1\\frac{4}{10})^2", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.87, bodu=240, $$(4\frac{2}{5} \cdot 2\frac{5}{7} + \frac{-17}{16}) \cdot (3\frac{3}{10} + 3\frac{3}{8} + 4\frac{3}{11})=\textcolor{white}{119\frac{28381}{246400}}$$return { ["body"] = 240, ["id"] = "wNpimm_0426_0653", ["obtiznost"] = 1.87, ["reseni"] = { ["float"] = 119.11518262987, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29349981, ["jmenovatel"] = 246400 }, ["render"] = "\\frac{29349981}{246400}", ["typ"] = "cislo" }, ["tex"] = "119\\frac{28381}{246400}", ["x"] = 119, ["y"] = 28381, ["z"] = 246400 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.87", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} \\cdot 2\\frac{5}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{16}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{2}{5} \\cdot 2\\frac{5}{7} + \\frac{-17}{16}", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{5} \\cdot 2\\frac{5}{7} + \\frac{-17}{16})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 4\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "3\\frac{3}{10} + 3\\frac{3}{8} + 4\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{10} + 3\\frac{3}{8} + 4\\frac{3}{11})", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{2}{5} \\cdot 2\\frac{5}{7} + \\frac{-17}{16}) \\cdot (3\\frac{3}{10} + 3\\frac{3}{8} + 4\\frac{3}{11})", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.88, bodu=140, $$-7 - 21 + (-10 + \frac{1\frac{1}{7}}{-14 + (-12)} - 2\frac{2}{6})=\textcolor{white}{-40\frac{103}{273}}$$return { ["body"] = 140, ["id"] = "MGtnbj_0426_0653", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = -40.377289377289, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11023, ["jmenovatel"] = 273 }, ["render"] = "\\frac{-11023}{273}", ["typ"] = "cislo" }, ["tex"] = "-40\\frac{103}{273}", ["x"] = -40, ["y"] = 103, ["z"] = 273 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "-7 - 21", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-14 + (-12)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{7}}{-14 + (-12)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{-14 + (-12)} - 2\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "-10 + \\frac{1\\frac{1}{7}}{-14 + (-12)} - 2\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "-7 - 21 + (-10 + \\frac{1\\frac{1}{7}}{-14 + (-12)} - 2\\frac{2}{6})", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.89, bodu=207, $$2\frac{4}{10} + \frac{-13}{-9 \cdot (4\frac{4}{13} - 1\frac{3}{6} \cdot 3\frac{4}{11})}=\textcolor{white}{\frac{4198}{9495}}$$return { ["body"] = 207, ["id"] = "iUCWxC_0426_0653", ["obtiznost"] = 1.69, ["reseni"] = { ["float"] = 0.44212743549236, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4198, ["jmenovatel"] = 9495 }, ["render"] = "\\frac{4198}{9495}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4198}{9495}", ["y"] = 4198, ["z"] = 9495 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.89", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 56, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} \\cdot 3\\frac{4}{11}", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{13} - 1\\frac{3}{6} \\cdot 3\\frac{4}{11}", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{13} - 1\\frac{3}{6} \\cdot 3\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot (4\\frac{4}{13} - 1\\frac{3}{6} \\cdot 3\\frac{4}{11})", ["typ"] = "krat" }, ["render"] = "\\frac{-13}{-9 \\cdot (4\\frac{4}{13} - 1\\frac{3}{6} \\cdot 3\\frac{4}{11})}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{4}{10} + \\frac{-13}{-9 \\cdot (4\\frac{4}{13} - 1\\frac{3}{6} \\cdot 3\\frac{4}{11})}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.9, bodu=143, $$\frac{2\frac{2}{7} + 9}{\frac{-4 \cdot -14}{3\frac{1}{4}} \cdot 19}=\textcolor{white}{\frac{1027}{29792}}$$return { ["body"] = 143, ["id"] = "5i8r2p_0426_0653", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 0.034472341568206, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1027, ["jmenovatel"] = 29792 }, ["render"] = "\\frac{1027}{29792}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1027}{29792}", ["y"] = 1027, ["z"] = 29792 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4 \\cdot -14}{3\\frac{1}{4}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{-4 \\cdot -14}{3\\frac{1}{4}} \\cdot 19", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{2}{7} + 9}{\\frac{-4 \\cdot -14}{3\\frac{1}{4}} \\cdot 19}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.91, bodu=176, $$(-17 - 1\frac{5}{9}) \cdot (17 - 4\frac{2}{7}) + 1\frac{3}{6} \cdot 14=\textcolor{white}{-214\frac{58}{63}}$$return { ["body"] = 176, ["id"] = "UA4qHu_0426_0653", ["obtiznost"] = 1.51, ["reseni"] = { ["float"] = -214.92063492063, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13540, ["jmenovatel"] = 63 }, ["render"] = "\\frac{-13540}{63}", ["typ"] = "cislo" }, ["tex"] = "-214\\frac{58}{63}", ["x"] = -214, ["y"] = 58, ["z"] = 63 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "-17 - 1\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "(-17 - 1\\frac{5}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "17 - 4\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "(17 - 4\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "(-17 - 1\\frac{5}{9}) \\cdot (17 - 4\\frac{2}{7})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} \\cdot 14", ["typ"] = "krat" }, ["render"] = "(-17 - 1\\frac{5}{9}) \\cdot (17 - 4\\frac{2}{7}) + 1\\frac{3}{6} \\cdot 14", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.92, bodu=249, $$2\frac{4}{13} + (3\frac{4}{7} - (1\frac{1}{6} - (-14 + 3\frac{5}{11})) - (-17)) \cdot 2\frac{5}{8}=\textcolor{white}{25\frac{1289}{2288}}$$return { ["body"] = 249, ["id"] = "Cv2e10_0426_0653", ["obtiznost"] = 1.92, ["reseni"] = { ["float"] = 25.563374125874, ["objekt"] = { ["hodnota"] = { ["citatel"] = 58489, ["jmenovatel"] = 2288 }, ["render"] = "\\frac{58489}{2288}", ["typ"] = "cislo" }, ["tex"] = "25\\frac{1289}{2288}", ["x"] = 25, ["y"] = 1289, ["z"] = 2288 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.92", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-14 + 3\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(-14 + 3\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} - (-14 + 3\\frac{5}{11})", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{6} - (-14 + 3\\frac{5}{11}))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{7} - (1\\frac{1}{6} - (-14 + 3\\frac{5}{11}))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} - (1\\frac{1}{6} - (-14 + 3\\frac{5}{11})) - (-17)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{7} - (1\\frac{1}{6} - (-14 + 3\\frac{5}{11})) - (-17))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{4}{7} - (1\\frac{1}{6} - (-14 + 3\\frac{5}{11})) - (-17)) \\cdot 2\\frac{5}{8}", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{13} + (3\\frac{4}{7} - (1\\frac{1}{6} - (-14 + 3\\frac{5}{11})) - (-17)) \\cdot 2\\frac{5}{8}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.93, bodu=148, $$\frac{-11 \cdot (4\frac{2}{5} - 3\frac{1}{6} + 11) \cdot (-13 + 14)^4}{-12}=\textcolor{white}{11\frac{77}{360}}$$return { ["body"] = 148, ["id"] = "qoTgqE_0426_0653", ["obtiznost"] = 1.3308, ["reseni"] = { ["float"] = 11.213888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4037, ["jmenovatel"] = 360 }, ["render"] = "\\frac{-4037}{-360}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{77}{360}", ["x"] = 11, ["y"] = 77, ["z"] = 360 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} - 3\\frac{1}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} - 3\\frac{1}{6} + 11", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{5} - 3\\frac{1}{6} + 11)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-13 + 14", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-13 + 14)^4", ["typ"] = "mocnina" }, ["render"] = "(4\\frac{2}{5} - 3\\frac{1}{6} + 11) \\cdot (-13 + 14)^4", ["typ"] = "krat" }, ["render"] = "-11 \\cdot (4\\frac{2}{5} - 3\\frac{1}{6} + 11) \\cdot (-13 + 14)^4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 \\cdot (4\\frac{2}{5} - 3\\frac{1}{6} + 11) \\cdot (-13 + 14)^4}{-12}", ["typ"] = "lomeno" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.94, bodu=192, $$(\frac{11}{23})^2 + (-22) + (-15 \cdot 20) + 1\frac{1}{9} - 1\frac{5}{7}=\textcolor{white}{-322\frac{12479}{33327}}$$return { ["body"] = 192, ["id"] = "KBA8of_0426_0653", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = -322.37444114382, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10743773, ["jmenovatel"] = 33327 }, ["render"] = "\\frac{-10743773}{33327}", ["typ"] = "cislo" }, ["tex"] = "-322\\frac{12479}{33327}", ["x"] = -322, ["y"] = 12479, ["z"] = 33327 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{23}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{11}{23})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "(\\frac{11}{23})^2 + (-22)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 20", ["typ"] = "krat" }, ["render"] = "(\\frac{11}{23})^2 + (-22) + (-15 \\cdot 20)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(\\frac{11}{23})^2 + (-22) + (-15 \\cdot 20) + 1\\frac{1}{9} - 1\\frac{5}{7}", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.95, bodu=218, $$1\frac{1}{7} - \frac{2\frac{4}{7}}{\frac{\frac{11}{-11}}{3\frac{3}{7} + 1\frac{1}{7}}}=\textcolor{white}{12\frac{44}{49}}$$return { ["body"] = 218, ["id"] = "zKxTEs_0426_0653", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 12.897959183673, ["objekt"] = { ["hodnota"] = { ["citatel"] = 632, ["jmenovatel"] = 49 }, ["render"] = "\\frac{4424}{343}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{44}{49}", ["x"] = 12, ["y"] = 44, ["z"] = 49 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.95", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} + 1\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{11}{-11}}{3\\frac{3}{7} + 1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{4}{7}}{\\frac{\\frac{11}{-11}}{3\\frac{3}{7} + 1\\frac{1}{7}}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{7} - \\frac{2\\frac{4}{7}}{\\frac{\\frac{11}{-11}}{3\\frac{3}{7} + 1\\frac{1}{7}}}", ["typ"] = "minus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.96, bodu=122, $$14 \cdot 12 \cdot (4\frac{5}{9} + (13 + 18 + (-22) - 9)^3)=\textcolor{white}{765\frac{1}{3}}$$return { ["body"] = 122, ["id"] = "aTHk8J_0426_0653", ["obtiznost"] = 1.1604, ["reseni"] = { ["float"] = 765.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2296, ["jmenovatel"] = 3 }, ["render"] = "\\frac{6888}{9}", ["typ"] = "cislo" }, ["tex"] = "765\\frac{1}{3}", ["x"] = 765, ["y"] = 1, ["z"] = 3 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "18 + (-22)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "18 + (-22) - 9", ["typ"] = "minus" }, ["render"] = "13 + 18 + (-22) - 9", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(13 + 18 + (-22) - 9)^3", ["typ"] = "mocnina" }, ["render"] = "4\\frac{5}{9} + (13 + 18 + (-22) - 9)^3", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{9} + (13 + 18 + (-22) - 9)^3)", ["typ"] = "zavorka" }, ["render"] = "14 \\cdot 12 \\cdot (4\\frac{5}{9} + (13 + 18 + (-22) - 9)^3)", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.97, bodu=258, $$1\frac{3}{4} \cdot (2\frac{2}{10} \cdot 1\frac{2}{8} - (2\frac{2}{7} - 2\frac{5}{11})) + (-21)=\textcolor{white}{-15\frac{157}{176}}$$return { ["body"] = 258, ["id"] = "4REa23_0426_0653", ["obtiznost"] = 1.97, ["reseni"] = { ["float"] = -15.892045454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2797, ["jmenovatel"] = 176 }, ["render"] = "\\frac{-2797}{176}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{157}{176}", ["x"] = -15, ["y"] = 157, ["z"] = 176 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{10} \\cdot 1\\frac{2}{8}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} - 2\\frac{5}{11}", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{7} - 2\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{10} \\cdot 1\\frac{2}{8} - (2\\frac{2}{7} - 2\\frac{5}{11})", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{10} \\cdot 1\\frac{2}{8} - (2\\frac{2}{7} - 2\\frac{5}{11}))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{4} \\cdot (2\\frac{2}{10} \\cdot 1\\frac{2}{8} - (2\\frac{2}{7} - 2\\frac{5}{11}))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{4} \\cdot (2\\frac{2}{10} \\cdot 1\\frac{2}{8} - (2\\frac{2}{7} - 2\\frac{5}{11})) + (-21)", ["typ"] = "plus" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.98, bodu=155, $$(-18 + (-17 - 1\frac{1}{6})) \cdot (\frac{-14 + 4\frac{4}{12}}{-22} + (-17))=\textcolor{white}{598\frac{373}{396}}$$return { ["body"] = 155, ["id"] = "T333CN_0426_0653", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = 598.94191919192, ["objekt"] = { ["hodnota"] = { ["citatel"] = 237181, ["jmenovatel"] = 396 }, ["render"] = "\\frac{237181}{396}", ["typ"] = "cislo" }, ["tex"] = "598\\frac{373}{396}", ["x"] = 598, ["y"] = 373, ["z"] = 396 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.98", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-17 - 1\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "-18 + (-17 - 1\\frac{1}{6})", ["typ"] = "plus" }, ["render"] = "(-18 + (-17 - 1\\frac{1}{6}))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "-14 + 4\\frac{4}{12}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 + 4\\frac{4}{12}}{-22}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 + 4\\frac{4}{12}}{-22} + (-17)", ["typ"] = "plus" }, ["render"] = "(\\frac{-14 + 4\\frac{4}{12}}{-22} + (-17))", ["typ"] = "zavorka" }, ["render"] = "(-18 + (-17 - 1\\frac{1}{6})) \\cdot (\\frac{-14 + 4\\frac{4}{12}}{-22} + (-17))", ["typ"] = "krat" } }

seed: ITKwIIrIfoLQ5cI3BlUp_0.99, bodu=152, $$\frac{((\frac{-13}{-16})^2 + 18) \cdot 11}{\frac{2\frac{5}{7}}{-12}}=\textcolor{white}{-907\frac{575}{1216}}$$return { ["body"] = 152, ["id"] = "SiisGg_0426_0653", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = -907.47286184211, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1103487, ["jmenovatel"] = 1216 }, ["render"] = "\\frac{4413948}{-4864}", ["typ"] = "cislo" }, ["tex"] = "-907\\frac{575}{1216}", ["x"] = -907, ["y"] = 575, ["z"] = 1216 }, ["seed"] = "ITKwIIrIfoLQ5cI3BlUp_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-16}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-13}{-16})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "(\\frac{-13}{-16})^2 + 18", ["typ"] = "plus" }, ["render"] = "((\\frac{-13}{-16})^2 + 18)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "((\\frac{-13}{-16})^2 + 18) \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{7}}{-12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{((\\frac{-13}{-16})^2 + 18) \\cdot 11}{\\frac{2\\frac{5}{7}}{-12}}", ["typ"] = "lomeno" } }

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