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Nahodny test, priklady s rostouci obtiznosti...

seed: g4EaIKM3rDIkJE4l8O8R_0, bodu=10, $$\frac{9 \cdot 9}{4}=\textcolor{white}{20{,}25}$$return { ["body"] = 10, ["id"] = "MqWMCD_0818_2106", ["obtiznost"] = 0, ["reseni"] = { ["float"] = 20.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 4 }, ["render"] = "\\frac{81}{4}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{1}{4}", ["tex_float"] = "20{,}25", ["x"] = 20, ["y"] = 1, ["z"] = 4 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{9 \\cdot 9}{4}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.01, bodu=5, $$6 \cdot (3 \cdot -3 - 6)=\textcolor{white}{-90}$$return { ["body"] = 5, ["id"] = "YOdylf_0818_2106", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -90, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-90}{1}", ["typ"] = "cislo" }, ["tex"] = "-90", ["tex_float"] = "-90", ["x"] = -90 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.01", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "3 \\cdot -3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3 \\cdot -3 - 6", ["typ"] = "minus" }, ["render"] = "(3 \\cdot -3 - 6)", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (3 \\cdot -3 - 6)", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.02, bodu=10, $$5 + (-6) + \frac{8}{8}=\textcolor{white}{0}$$return { ["body"] = 10, ["id"] = "mjTI4z_0818_2106", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "5 + (-6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{8}", ["typ"] = "lomeno" }, ["render"] = "5 + (-6) + \\frac{8}{8}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.03, bodu=10, $$\frac{6}{(-6 - 10) \cdot 6}=\textcolor{white}{-\frac{1}{16}}$$return { ["body"] = 10, ["id"] = "ehuztO_0818_2106", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = -0.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 16 }, ["render"] = "\\frac{6}{-96}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{16}", ["y"] = -1, ["z"] = 16 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-6 - 10", ["typ"] = "minus" }, ["render"] = "(-6 - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(-6 - 10) \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{6}{(-6 - 10) \\cdot 6}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.04, bodu=6, $$(10 - (-9)) \cdot (-6 + (-8))^2=\textcolor{white}{3724}$$return { ["body"] = 6, ["id"] = "45OTo3_0818_2106", ["obtiznost"] = 0.1188, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3724, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3724}{1}", ["typ"] = "cislo" }, ["tex"] = "3724", ["x"] = 3724 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.04", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "10 - (-9)", ["typ"] = "minus" }, ["render"] = "(10 - (-9))", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-6 + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 + (-8))^2", ["typ"] = "mocnina" }, ["render"] = "(10 - (-9)) \\cdot (-6 + (-8))^2", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.05, bodu=5, $$(6 - (4 - 6)) \cdot 8=\textcolor{white}{64}$$return { ["body"] = 5, ["id"] = "41aIkB_0818_2106", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 1 }, ["render"] = "\\frac{64}{1}", ["typ"] = "cislo" }, ["tex"] = "64", ["tex_float"] = "64", ["x"] = 64 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.05", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4 - 6", ["typ"] = "minus" }, ["render"] = "(4 - 6)", ["typ"] = "zavorka" }, ["render"] = "6 - (4 - 6)", ["typ"] = "minus" }, ["render"] = "(6 - (4 - 6))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(6 - (4 - 6)) \\cdot 8", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.06, bodu=5, $$(9 - (-11)) \cdot (4 - 3)^3=\textcolor{white}{20}$$return { ["body"] = 5, ["id"] = "6jLYtA_0818_2106", ["obtiznost"] = 0.0608, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "\\frac{20}{1}", ["typ"] = "cislo" }, ["tex"] = "20", ["tex_float"] = "20", ["x"] = 20 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.06", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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"] = "(9 - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "4 - 3", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(4 - 3)^3", ["typ"] = "mocnina" }, ["render"] = "(9 - (-11)) \\cdot (4 - 3)^3", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.07, bodu=11, $$\frac{(4 + (-4))^2}{\frac{-12}{10}}=\textcolor{white}{0}$$return { ["body"] = 11, ["id"] = "G2cJJr_0818_2106", ["obtiznost"] = 0.0704, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{-6}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.07", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "4 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4 + (-4))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(4 + (-4))^2}{\\frac{-12}{10}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.08, bodu=13, $$\frac{10}{(\frac{-5}{4} + 3)^2}=\textcolor{white}{3\frac{13}{49}}$$return { ["body"] = 13, ["id"] = "KzlQnO_0818_2106", ["obtiznost"] = 0.106, ["reseni"] = { ["float"] = 3.265306122449, ["objekt"] = { ["hodnota"] = { ["citatel"] = 160, ["jmenovatel"] = 49 }, ["render"] = "\\frac{160}{49}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{13}{49}", ["x"] = 3, ["y"] = 13, ["z"] = 49 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{4} + 3", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-5}{4} + 3)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{10}{(\\frac{-5}{4} + 3)^2}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.09, bodu=24, $$\frac{8}{-9} + 2\frac{1}{2} - 7=\textcolor{white}{-5\frac{7}{18}}$$return { ["body"] = 24, ["id"] = "Tb5gDJ_0818_2106", ["obtiznost"] = 0.29, ["reseni"] = { ["float"] = -5.3888888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -97, ["jmenovatel"] = 18 }, ["render"] = "\\frac{-97}{18}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{7}{18}", ["x"] = -5, ["y"] = 7, ["z"] = 18 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{2} - 7", ["typ"] = "minus" }, ["render"] = "\\frac{8}{-9} + 2\\frac{1}{2} - 7", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.1, bodu=12, $$\frac{\frac{7}{10}}{6}=\textcolor{white}{\frac{7}{60}}$$return { ["body"] = 12, ["id"] = "yd8GnR_0818_2106", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 0.11666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 60 }, ["render"] = "\\frac{7}{60}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{60}", ["y"] = 7, ["z"] = 60 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{7}{10}}{6}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.11, bodu=13, $$\frac{9 - 9}{5 + 5}=\textcolor{white}{0}$$return { ["body"] = 13, ["id"] = "H6dvYr_0818_2106", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{10}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 - 9", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "5 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{9 - 9}{5 + 5}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.12, bodu=13, $$\frac{-6}{7} \cdot 8=\textcolor{white}{-6\frac{6}{7}}$$return { ["body"] = 13, ["id"] = "TA4Yqg_0818_2106", ["obtiznost"] = 0.12, ["reseni"] = { ["float"] = -6.8571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -48, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-48}{7}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{6}{7}", ["x"] = -6, ["y"] = 6, ["z"] = 7 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{7} \\cdot 8", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.13, bodu=7, $$(5 - 9)^2 \cdot (9 + 3)=\textcolor{white}{192}$$return { ["body"] = 7, ["id"] = "e4j2It_0818_2106", ["obtiznost"] = 0.1368, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 192, ["jmenovatel"] = 1 }, ["render"] = "\\frac{192}{1}", ["typ"] = "cislo" }, ["tex"] = "192", ["x"] = 192 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.13", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(5 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "9 + 3", ["typ"] = "plus" }, ["render"] = "(9 + 3)", ["typ"] = "zavorka" }, ["render"] = "(5 - 9)^2 \\cdot (9 + 3)", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.14, bodu=29, $$(\frac{6 - (11 - 11)}{7})^3=\textcolor{white}{\frac{216}{343}}$$return { ["body"] = 29, ["id"] = "iB4egC_0818_2106", ["obtiznost"] = 0.3636, ["reseni"] = { ["float"] = 0.62973760932945, ["objekt"] = { ["hodnota"] = { ["citatel"] = 216, ["jmenovatel"] = 343 }, ["render"] = "\\frac{216}{343}", ["typ"] = "cislo" }, ["tex"] = "\\frac{216}{343}", ["y"] = 216, ["z"] = 343 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.14", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "11 - 11", ["typ"] = "minus" }, ["render"] = "(11 - 11)", ["typ"] = "zavorka" }, ["render"] = "6 - (11 - 11)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{6 - (11 - 11)}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{6 - (11 - 11)}{7})^3", ["typ"] = "mocnina" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.15, bodu=15, $$\frac{9 - \frac{11}{7}}{8}=\textcolor{white}{\frac{13}{14}}$$return { ["body"] = 15, ["id"] = "xPVBn1_0818_2106", ["obtiznost"] = 0.15, ["reseni"] = { ["float"] = 0.92857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 14 }, ["render"] = "\\frac{52}{56}", ["typ"] = "cislo" }, ["tex"] = "\\frac{13}{14}", ["y"] = 13, ["z"] = 14 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{7}", ["typ"] = "lomeno" }, ["render"] = "9 - \\frac{11}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{9 - \\frac{11}{7}}{8}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.16, bodu=15, $$\frac{7 + 7}{9 \cdot 6}=\textcolor{white}{\frac{7}{27}}$$return { ["body"] = 15, ["id"] = "OkELuy_0818_2106", ["obtiznost"] = 0.16, ["reseni"] = { ["float"] = 0.25925925925926, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 27 }, ["render"] = "\\frac{14}{54}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{27}", ["y"] = 7, ["z"] = 27 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{7 + 7}{9 \\cdot 6}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.17, bodu=8, $$3 \cdot -8 \cdot 5=\textcolor{white}{-120}$$return { ["body"] = 8, ["id"] = "8O0NVX_0818_2106", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -120, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-120}{1}", ["typ"] = "cislo" }, ["tex"] = "-120", ["x"] = -120 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 5", ["typ"] = "krat" }, ["render"] = "3 \\cdot -8 \\cdot 5", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.18, bodu=8, $$10 - (8 - (8 + 9))=\textcolor{white}{19}$$return { ["body"] = 8, ["id"] = "J7xns1_0818_2106", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "\\frac{19}{1}", ["typ"] = "cislo" }, ["tex"] = "19", ["x"] = 19 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.18", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 + 9", ["typ"] = "plus" }, ["render"] = "(8 + 9)", ["typ"] = "zavorka" }, ["render"] = "8 - (8 + 9)", ["typ"] = "minus" }, ["render"] = "(8 - (8 + 9))", ["typ"] = "zavorka" }, ["render"] = "10 - (8 - (8 + 9))", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.19, bodu=17, $$\frac{\frac{8}{8 - (-13)}}{9}=\textcolor{white}{\frac{8}{189}}$$return { ["body"] = 17, ["id"] = "whqIQI_0818_2106", ["obtiznost"] = 0.19, ["reseni"] = { ["float"] = 0.042328042328042, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 189 }, ["render"] = "\\frac{8}{189}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{189}", ["y"] = 8, ["z"] = 189 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "8 - (-13)", ["typ"] = "minus" }, ["render"] = "\\frac{8}{8 - (-13)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{8}{8 - (-13)}}{9}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.2, bodu=33, $$\frac{10}{14 - (12 - (10 + (-6)))^3}=\textcolor{white}{-\frac{5}{249}}$$return { ["body"] = 33, ["id"] = "OMM3Iz_0818_2106", ["obtiznost"] = 0.4052, ["reseni"] = { ["float"] = -0.020080321285141, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 249 }, ["render"] = "\\frac{10}{-498}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5}{249}", ["y"] = -5, ["z"] = 249 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "10 + (-6)", ["typ"] = "plus" }, ["render"] = "(10 + (-6))", ["typ"] = "zavorka" }, ["render"] = "12 - (10 + (-6))", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(12 - (10 + (-6)))^3", ["typ"] = "mocnina" }, ["render"] = "14 - (12 - (10 + (-6)))^3", ["typ"] = "minus" }, ["render"] = "\\frac{10}{14 - (12 - (10 + (-6)))^3}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.21, bodu=18, $$13 \cdot \frac{9}{4} \cdot -12=\textcolor{white}{-351}$$return { ["body"] = 18, ["id"] = "fzYArw_0818_2106", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -351, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1404}{4}", ["typ"] = "cislo" }, ["tex"] = "-351", ["x"] = -351 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{4}", ["typ"] = "lomeno" }, ["render"] = "13 \\cdot \\frac{9}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "13 \\cdot \\frac{9}{4} \\cdot -12", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.22, bodu=34, $$\frac{9}{\frac{4}{6 + 3\frac{4}{5}}}=\textcolor{white}{22{,}05}$$return { ["body"] = 34, ["id"] = "vw0SlK_0818_2106", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = 22.05, ["objekt"] = { ["hodnota"] = { ["citatel"] = 441, ["jmenovatel"] = 20 }, ["render"] = "\\frac{441}{20}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{1}{20}", ["tex_float"] = "22{,}05", ["x"] = 22, ["y"] = 1, ["z"] = 20 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "6 + 3\\frac{4}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{4}{6 + 3\\frac{4}{5}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{9}{\\frac{4}{6 + 3\\frac{4}{5}}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.23, bodu=35, $$4 + \frac{1\frac{2}{6} - 7}{5 + (-12)}=\textcolor{white}{4\frac{17}{21}}$$return { ["body"] = 35, ["id"] = "nQGKgA_0818_2106", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 4.8095238095238, ["objekt"] = { ["hodnota"] = { ["citatel"] = 101, ["jmenovatel"] = 21 }, ["render"] = "\\frac{101}{21}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{17}{21}", ["x"] = 4, ["y"] = 17, ["z"] = 21 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} - 7", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "5 + (-12)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{2}{6} - 7}{5 + (-12)}", ["typ"] = "lomeno" }, ["render"] = "4 + \\frac{1\\frac{2}{6} - 7}{5 + (-12)}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.24, bodu=20, $$\frac{12}{-5 + 4 \cdot 8}=\textcolor{white}{\frac{4}{9}}$$return { ["body"] = 20, ["id"] = "G8kthd_0818_2106", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = 0.44444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 9 }, ["render"] = "\\frac{12}{27}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{9}", ["y"] = 4, ["z"] = 9 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 8", ["typ"] = "krat" }, ["render"] = "-5 + 4 \\cdot 8", ["typ"] = "plus" }, ["render"] = "\\frac{12}{-5 + 4 \\cdot 8}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.25, bodu=23, $$-7 \cdot (\frac{9}{10} \cdot 5)^2=\textcolor{white}{-141{,}75}$$return { ["body"] = 23, ["id"] = "PZdhlm_0818_2106", ["obtiznost"] = 0.284, ["reseni"] = { ["float"] = -141.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -567, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-567}{4}", ["typ"] = "cislo" }, ["tex"] = "-141\\frac{3}{4}", ["tex_float"] = "-141{,}75", ["x"] = -141, ["y"] = 3, ["z"] = 4 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10} \\cdot 5", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{10} \\cdot 5)^2", ["typ"] = "mocnina" }, ["render"] = "-7 \\cdot (\\frac{9}{10} \\cdot 5)^2", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.26, bodu=38, $$12 - (\frac{3\frac{1}{2}}{-6} + 6 + 8)=\textcolor{white}{-1\frac{5}{12}}$$return { ["body"] = 38, ["id"] = "oFtfLX_0818_2106", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = -1.4166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-17}{12}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{5}{12}", ["x"] = -1, ["y"] = 5, ["z"] = 12 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{2}}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{2}}{-6} + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{2}}{-6} + 6 + 8", ["typ"] = "plus" }, ["render"] = "(\\frac{3\\frac{1}{2}}{-6} + 6 + 8)", ["typ"] = "zavorka" }, ["render"] = "12 - (\\frac{3\\frac{1}{2}}{-6} + 6 + 8)", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.27, bodu=38, $$6 \cdot (-8 - 8) \cdot 3\frac{5}{12}=\textcolor{white}{-328}$$return { ["body"] = 38, ["id"] = "Z6DjoN_0818_2106", ["obtiznost"] = 0.47, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -328, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-984}{3}", ["typ"] = "cislo" }, ["tex"] = "-328", ["x"] = -328 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["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"] = "(-8 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "(-8 - 8) \\cdot 3\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "6 \\cdot (-8 - 8) \\cdot 3\\frac{5}{12}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.28, bodu=50, $$1\frac{2}{6} \cdot ((-9 + 11 + (-6))^4 + 9)=\textcolor{white}{353\frac{1}{3}}$$return { ["body"] = 50, ["id"] = "uaykHU_0818_2106", ["obtiznost"] = 0.5828, ["reseni"] = { ["float"] = 353.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1060, ["jmenovatel"] = 3 }, ["render"] = "\\frac{1060}{3}", ["typ"] = "cislo" }, ["tex"] = "353\\frac{1}{3}", ["x"] = 353, ["y"] = 1, ["z"] = 3 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "11 + (-6)", ["typ"] = "plus" }, ["render"] = "-9 + 11 + (-6)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-9 + 11 + (-6))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(-9 + 11 + (-6))^4 + 9", ["typ"] = "plus" }, ["render"] = "((-9 + 11 + (-6))^4 + 9)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{6} \\cdot ((-9 + 11 + (-6))^4 + 9)", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.29, bodu=41, $$(11 - 8)^2 - (-8 - 2\frac{3}{7} + (-8))=\textcolor{white}{27\frac{3}{7}}$$return { ["body"] = 41, ["id"] = "8URxSp_0818_2106", ["obtiznost"] = 0.494, ["reseni"] = { ["float"] = 27.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 192, ["jmenovatel"] = 7 }, ["render"] = "\\frac{192}{7}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{3}{7}", ["x"] = 27, ["y"] = 3, ["z"] = 7 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.29", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "11 - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(11 - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-8 - 2\\frac{3}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-8 - 2\\frac{3}{7} + (-8)", ["typ"] = "plus" }, ["render"] = "(-8 - 2\\frac{3}{7} + (-8))", ["typ"] = "zavorka" }, ["render"] = "(11 - 8)^2 - (-8 - 2\\frac{3}{7} + (-8))", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.3, bodu=29, $$(11 - 7)^4 + (7 - (-8) - (-11))^2=\textcolor{white}{932}$$return { ["body"] = 29, ["id"] = "aH55wh_0818_2106", ["obtiznost"] = 0.6736, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 932, ["jmenovatel"] = 1 }, ["render"] = "\\frac{932}{1}", ["typ"] = "cislo" }, ["tex"] = "932", ["x"] = 932 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.3", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "11 - 7", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(11 - 7)^4", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "7 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "7 - (-8) - (-11)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - (-8) - (-11))^2", ["typ"] = "mocnina" }, ["render"] = "(11 - 7)^4 + (7 - (-8) - (-11))^2", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.31, bodu=41, $$(5 - \frac{-9}{-4} - 8)^2=\textcolor{white}{27\frac{9}{16}}$$return { ["body"] = 41, ["id"] = "nOe1k7_0818_2106", ["obtiznost"] = 0.4928, ["reseni"] = { ["float"] = 27.5625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 441, ["jmenovatel"] = 16 }, ["render"] = "\\frac{441}{16}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{9}{16}", ["x"] = 27, ["y"] = 9, ["z"] = 16 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.31", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-4}", ["typ"] = "lomeno" }, ["render"] = "5 - \\frac{-9}{-4}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 - \\frac{-9}{-4} - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(5 - \\frac{-9}{-4} - 8)^2", ["typ"] = "mocnina" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.32, bodu=26, $$\frac{(-9 - 7) \cdot -9}{6}=\textcolor{white}{24}$$return { ["body"] = 26, ["id"] = "NmUfZT_0818_2106", ["obtiznost"] = 0.32, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 1 }, ["render"] = "\\frac{144}{6}", ["typ"] = "cislo" }, ["tex"] = "24", ["x"] = 24 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-9 - 7", ["typ"] = "minus" }, ["render"] = "(-9 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(-9 - 7) \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{(-9 - 7) \\cdot -9}{6}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.33, bodu=27, $$\frac{(12 - 12)^3}{(9 - 6)^3}=\textcolor{white}{0}$$return { ["body"] = 27, ["id"] = "IKSFb5_0818_2106", ["obtiznost"] = 0.3416, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{27}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.33", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "12 - 12", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(12 - 12)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 - 6", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(9 - 6)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{(12 - 12)^3}{(9 - 6)^3}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.34, bodu=45, $$-12 \cdot 8 \cdot -13 \cdot 1\frac{4}{8}=\textcolor{white}{1872}$$return { ["body"] = 45, ["id"] = "aiBHr1_0818_2106", ["obtiznost"] = 0.54, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1872, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3744}{2}", ["typ"] = "cislo" }, ["tex"] = "1872", ["tex_float"] = "1872", ["x"] = 1872 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "8 \\cdot -13", ["typ"] = "krat" }, ["render"] = "-12 \\cdot 8 \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 8 \\cdot -13 \\cdot 1\\frac{4}{8}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.35, bodu=14, $$-8 - (-6 \cdot 12 - 13)=\textcolor{white}{77}$$return { ["body"] = 14, ["id"] = "NCNqB4_0818_2106", ["obtiznost"] = 0.35, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 77, ["jmenovatel"] = 1 }, ["render"] = "\\frac{77}{1}", ["typ"] = "cislo" }, ["tex"] = "77", ["tex_float"] = "77", ["x"] = 77 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 12 - 13", ["typ"] = "minus" }, ["render"] = "(-6 \\cdot 12 - 13)", ["typ"] = "zavorka" }, ["render"] = "-8 - (-6 \\cdot 12 - 13)", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.36, bodu=18, $$((-6 \cdot (6 - 7)^3)^3 + 8) \cdot -3=\textcolor{white}{-672}$$return { ["body"] = 18, ["id"] = "Epq8op_0818_2106", ["obtiznost"] = 0.4476, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -672, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-672}{1}", ["typ"] = "cislo" }, ["tex"] = "-672", ["x"] = -672 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.36", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 - 7", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(6 - 7)^3", ["typ"] = "mocnina" }, ["render"] = "-6 \\cdot (6 - 7)^3", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(-6 \\cdot (6 - 7)^3)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-6 \\cdot (6 - 7)^3)^3 + 8", ["typ"] = "plus" }, ["render"] = "((-6 \\cdot (6 - 7)^3)^3 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "((-6 \\cdot (6 - 7)^3)^3 + 8) \\cdot -3", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.37, bodu=48, $$(\frac{10}{-15} - (-9)) \cdot 2\frac{4}{6}=\textcolor{white}{22\frac{2}{9}}$$return { ["body"] = 48, ["id"] = "NT6JLL_0818_2106", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = 22.222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 200, ["jmenovatel"] = 9 }, ["render"] = "\\frac{200}{9}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{2}{9}", ["x"] = 22, ["y"] = 2, ["z"] = 9 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.37", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-15} - (-9)", ["typ"] = "minus" }, ["render"] = "(\\frac{10}{-15} - (-9))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "(\\frac{10}{-15} - (-9)) \\cdot 2\\frac{4}{6}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.38, bodu=49, $$\frac{4\frac{3}{10}}{-8} \cdot -5 - 10=\textcolor{white}{-7\frac{5}{16}}$$return { ["body"] = 49, ["id"] = "dARXXZ_0818_2106", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = -7.3125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -117, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-117}{16}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{5}{16}", ["x"] = -7, ["y"] = 5, ["z"] = 16 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{10}}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{10}}{-8} \\cdot -5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{10}}{-8} \\cdot -5 - 10", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.39, bodu=50, $$\frac{2\frac{4}{7} - (-6)}{-15 + 8} \cdot 8=\textcolor{white}{-9\frac{39}{49}}$$return { ["body"] = 50, ["id"] = "dinSZo_0818_2106", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = -9.7959183673469, ["objekt"] = { ["hodnota"] = { ["citatel"] = -480, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-480}{49}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{39}{49}", ["x"] = -9, ["y"] = 39, ["z"] = 49 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} - (-6)", ["typ"] = "minus" }, ["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"] = "plus" }, ["render"] = "\\frac{2\\frac{4}{7} - (-6)}{-15 + 8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7} - (-6)}{-15 + 8} \\cdot 8", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.4, bodu=100, $$\frac{4\frac{5}{8} - 3\frac{2}{5}}{\frac{6}{\frac{3\frac{4}{10}}{14}}}=\textcolor{white}{\frac{119}{2400}}$$return { ["body"] = 100, ["id"] = "d9yQSo_0818_2106", ["obtiznost"] = 1, ["reseni"] = { ["float"] = 0.049583333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 119, ["jmenovatel"] = 2400 }, ["render"] = "\\frac{833}{16800}", ["typ"] = "cislo" }, ["tex"] = "\\frac{119}{2400}", ["y"] = 119, ["z"] = 2400 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} - 3\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{10}}{14}", ["typ"] = "lomeno" }, ["render"] = "\\frac{6}{\\frac{3\\frac{4}{10}}{14}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{5}{8} - 3\\frac{2}{5}}{\\frac{6}{\\frac{3\\frac{4}{10}}{14}}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.41, bodu=68, $$(\frac{-5}{6})^2 - \frac{-11}{(4\frac{4}{8} - 13)^2}=\textcolor{white}{\frac{8809}{10404}}$$return { ["body"] = 68, ["id"] = "tIvMM8_0818_2106", ["obtiznost"] = 0.7516, ["reseni"] = { ["float"] = 0.84669357939254, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8809, ["jmenovatel"] = 10404 }, ["render"] = "\\frac{8809}{10404}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8809}{10404}", ["y"] = 8809, ["z"] = 10404 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.41", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-5}{6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - 13", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{4}{8} - 13)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-11}{(4\\frac{4}{8} - 13)^2}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{-5}{6})^2 - \\frac{-11}{(4\\frac{4}{8} - 13)^2}", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.42, bodu=53, $$\frac{12}{\frac{11 - 5}{4\frac{2}{8} + 2}}=\textcolor{white}{12{,}5}$$return { ["body"] = 53, ["id"] = "YDQh6m_0818_2106", ["obtiznost"] = 0.62, ["reseni"] = { ["float"] = 12.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 2 }, ["render"] = "\\frac{300}{24}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{1}{2}", ["tex_float"] = "12{,}5", ["x"] = 12, ["y"] = 1, ["z"] = 2 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 - 5", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} + 2", ["typ"] = "plus" }, ["render"] = "\\frac{11 - 5}{4\\frac{2}{8} + 2}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{11 - 5}{4\\frac{2}{8} + 2}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.43, bodu=78, $$2\frac{1}{3} + 5 - (-9) + \frac{1\frac{2}{2}}{1\frac{1}{7}} + (-2)=\textcolor{white}{16\frac{1}{12}}$$return { ["body"] = 78, ["id"] = "3KSXmh_0818_2106", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 16.083333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 193, ["jmenovatel"] = 12 }, ["render"] = "\\frac{193}{12}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{1}{12}", ["x"] = 16, ["y"] = 1, ["z"] = 12 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "5 - (-9)", ["typ"] = "minus" }, ["render"] = "2\\frac{1}{3} + 5 - (-9)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "1\\frac{2}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{2}}{1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{2}}{1\\frac{1}{7}} + (-2)", ["typ"] = "plus" }, ["render"] = "2\\frac{1}{3} + 5 - (-9) + \\frac{1\\frac{2}{2}}{1\\frac{1}{7}} + (-2)", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.44, bodu=56, $$12 + \frac{5 + 9}{3\frac{1}{3} \cdot -11}=\textcolor{white}{11\frac{34}{55}}$$return { ["body"] = 56, ["id"] = "6bOBo8_0818_2106", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = 11.618181818182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 639, ["jmenovatel"] = 55 }, ["render"] = "\\frac{639}{55}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{34}{55}", ["x"] = 11, ["y"] = 34, ["z"] = 55 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.44", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{5 + 9}{3\\frac{1}{3} \\cdot -11}", ["typ"] = "lomeno" }, ["render"] = "12 + \\frac{5 + 9}{3\\frac{1}{3} \\cdot -11}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.45, bodu=37, $$\frac{17 \cdot 8}{\frac{7}{9}}=\textcolor{white}{174\frac{6}{7}}$$return { ["body"] = 37, ["id"] = "qnavuM_0818_2106", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = 174.85714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1224, ["jmenovatel"] = 7 }, ["render"] = "\\frac{1224}{7}", ["typ"] = "cislo" }, ["tex"] = "174\\frac{6}{7}", ["x"] = 174, ["y"] = 6, ["z"] = 7 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "17 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["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" }, ["render"] = "\\frac{17 \\cdot 8}{\\frac{7}{9}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.46, bodu=38, $$\frac{7 \cdot 5 \cdot -14}{-9}=\textcolor{white}{54\frac{4}{9}}$$return { ["body"] = 38, ["id"] = "WhV2ty_0818_2106", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = 54.444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 490, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-490}{-9}", ["typ"] = "cislo" }, ["tex"] = "54\\frac{4}{9}", ["x"] = 54, ["y"] = 4, ["z"] = 9 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -14", ["typ"] = "krat" }, ["render"] = "7 \\cdot 5 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{7 \\cdot 5 \\cdot -14}{-9}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.47, bodu=114, $$\frac{(\frac{8}{6})^3}{2\frac{1}{5} + 1\frac{4}{7} + (-9 - 4\frac{5}{9})}=\textcolor{white}{-\frac{1120}{4623}}$$return { ["body"] = 114, ["id"] = "ThxgFm_0818_2106", ["obtiznost"] = 1.1064, ["reseni"] = { ["float"] = -0.24226692623837, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1120, ["jmenovatel"] = 4623 }, ["render"] = "\\frac{20160}{-83214}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1120}{4623}", ["y"] = -1120, ["z"] = 4623 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.47", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8}{6})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "1\\frac{4}{7} + (-9 - 4\\frac{5}{9})", ["typ"] = "plus" }, ["render"] = "2\\frac{1}{5} + 1\\frac{4}{7} + (-9 - 4\\frac{5}{9})", ["typ"] = "plus" }, ["render"] = "\\frac{(\\frac{8}{6})^3}{2\\frac{1}{5} + 1\\frac{4}{7} + (-9 - 4\\frac{5}{9})}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.48, bodu=19, $$8 \cdot (10 \cdot (-10 + (-6)) - 14)=\textcolor{white}{-1392}$$return { ["body"] = 19, ["id"] = "MDuUj0_0818_2106", ["obtiznost"] = 0.48, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1392, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1392}{1}", ["typ"] = "cislo" }, ["tex"] = "-1392", ["x"] = -1392 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.48", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-10 + (-6)", ["typ"] = "plus" }, ["render"] = "(-10 + (-6))", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (-10 + (-6))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "10 \\cdot (-10 + (-6)) - 14", ["typ"] = "minus" }, ["render"] = "(10 \\cdot (-10 + (-6)) - 14)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (10 \\cdot (-10 + (-6)) - 14)", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.49, bodu=85, $$\frac{2\frac{5}{10} \cdot -9 \cdot 3\frac{3}{5} + 7}{-6}=\textcolor{white}{12\frac{1}{3}}$$return { ["body"] = 85, ["id"] = "DRURip_0818_2106", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = 12.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-74}{-6}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{1}{3}", ["x"] = 12, ["y"] = 1, ["z"] = 3 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot -9 \\cdot 3\\frac{3}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot -9 \\cdot 3\\frac{3}{5} + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{10} \\cdot -9 \\cdot 3\\frac{3}{5} + 7}{-6}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.5, bodu=86, $$\frac{\frac{1\frac{3}{5}}{3\frac{3}{10}}}{8 \cdot 17}=\textcolor{white}{\frac{2}{561}}$$return { ["body"] = 86, ["id"] = "HEnjq7_0818_2106", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 0.0035650623885918, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 561 }, ["render"] = "\\frac{16}{4488}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2}{561}", ["y"] = 2, ["z"] = 561 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{5}}{3\\frac{3}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 17", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{1\\frac{3}{5}}{3\\frac{3}{10}}}{8 \\cdot 17}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.51, bodu=89, $$\frac{(8 - 11)^3 - (1\frac{1}{4} + 2\frac{5}{6})}{13 + (-11)}=\textcolor{white}{-15\frac{13}{24}}$$return { ["body"] = 89, ["id"] = "CQq4Yf_0818_2106", ["obtiznost"] = 0.9212, ["reseni"] = { ["float"] = -15.541666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -373, ["jmenovatel"] = 24 }, ["render"] = "\\frac{-373}{24}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{13}{24}", ["x"] = -15, ["y"] = 13, ["z"] = 24 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "8 - 11", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(8 - 11)^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} + 2\\frac{5}{6}", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{4} + 2\\frac{5}{6})", ["typ"] = "zavorka" }, ["render"] = "(8 - 11)^3 - (1\\frac{1}{4} + 2\\frac{5}{6})", ["typ"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "\\frac{(8 - 11)^3 - (1\\frac{1}{4} + 2\\frac{5}{6})}{13 + (-11)}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.52, bodu=64, $$(6 + (-7)) \cdot \frac{-8}{-8 + 3\frac{5}{12}}=\textcolor{white}{-1\frac{41}{55}}$$return { ["body"] = 64, ["id"] = "FPQcP7_0818_2106", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = -1.7454545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -96, ["jmenovatel"] = 55 }, ["render"] = "\\frac{-96}{55}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{41}{55}", ["x"] = -1, ["y"] = 41, ["z"] = 55 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.52", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "6 + (-7)", ["typ"] = "plus" }, ["render"] = "(6 + (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "-8 + 3\\frac{5}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{-8}{-8 + 3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "(6 + (-7)) \\cdot \\frac{-8}{-8 + 3\\frac{5}{12}}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.53, bodu=44, $$(-11 \cdot \frac{(\frac{13}{13})^3}{11})^2=\textcolor{white}{1}$$return { ["body"] = 44, ["id"] = "zJnXQr_0818_2106", ["obtiznost"] = 0.5316, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1}{1}", ["typ"] = "cislo" }, ["tex"] = "1", ["tex_float"] = "1", ["x"] = 1 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.53", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{13}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{13}{13})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{13}{13})^3}{11}", ["typ"] = "lomeno" }, ["render"] = "-11 \\cdot \\frac{(\\frac{13}{13})^3}{11}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(-11 \\cdot \\frac{(\\frac{13}{13})^3}{11})^2", ["typ"] = "mocnina" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.54, bodu=149, $$4\frac{4}{9} \cdot 4\frac{2}{7} - (-10 \cdot (3\frac{3}{5} + 4\frac{1}{2}))=\textcolor{white}{100\frac{1}{21}}$$return { ["body"] = 149, ["id"] = "cmcLte_0818_2106", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = 100.04761904762, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2101, ["jmenovatel"] = 21 }, ["render"] = "\\frac{2101}{21}", ["typ"] = "cislo" }, ["tex"] = "100\\frac{1}{21}", ["x"] = 100, ["y"] = 1, ["z"] = 21 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} \\cdot 4\\frac{2}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{5} + 4\\frac{1}{2}", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{5} + 4\\frac{1}{2})", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot (3\\frac{3}{5} + 4\\frac{1}{2})", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{9} \\cdot 4\\frac{2}{7} - (-10 \\cdot (3\\frac{3}{5} + 4\\frac{1}{2}))", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.55, bodu=46, $$(-16 + 8) \cdot \frac{8 + 7}{8}=\textcolor{white}{-15}$$return { ["body"] = 46, ["id"] = "xXbuhy_0818_2106", ["obtiznost"] = 0.55, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-120}{8}", ["typ"] = "cislo" }, ["tex"] = "-15", ["tex_float"] = "-15", ["x"] = -15 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-16 + 8", ["typ"] = "plus" }, ["render"] = "(-16 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + 7}{8}", ["typ"] = "lomeno" }, ["render"] = "(-16 + 8) \\cdot \\frac{8 + 7}{8}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.56, bodu=69, $$11 \cdot 5 \cdot 1\frac{2}{5} + (-6 + 15)=\textcolor{white}{86}$$return { ["body"] = 69, ["id"] = "ysaP99_0818_2106", ["obtiznost"] = 0.76, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 86, ["jmenovatel"] = 1 }, ["render"] = "\\frac{86}{1}", ["typ"] = "cislo" }, ["tex"] = "86", ["x"] = 86 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 5 \\cdot 1\\frac{2}{5}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-6 + 15", ["typ"] = "plus" }, ["render"] = "11 \\cdot 5 \\cdot 1\\frac{2}{5} + (-6 + 15)", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.57, bodu=95, $$\frac{4\frac{2}{9}}{-16 \cdot -11 \cdot (7 - 2\frac{2}{8})}=\textcolor{white}{\frac{1}{198}}$$return { ["body"] = 95, ["id"] = "HuTsAh_0818_2106", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 0.0050505050505051, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 198 }, ["render"] = "\\frac{38}{7524}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{198}", ["y"] = 1, ["z"] = 198 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.57", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "7 - 2\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(7 - 2\\frac{2}{8})", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (7 - 2\\frac{2}{8})", ["typ"] = "krat" }, ["render"] = "-16 \\cdot -11 \\cdot (7 - 2\\frac{2}{8})", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{2}{9}}{-16 \\cdot -11 \\cdot (7 - 2\\frac{2}{8})}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.58, bodu=97, $$\frac{3\frac{1}{5}}{3\frac{4}{5} \cdot (2 + (-15)) - 8}=\textcolor{white}{-\frac{16}{287}}$$return { ["body"] = 97, ["id"] = "ffN5ON_0818_2106", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = -0.055749128919861, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 287 }, ["render"] = "\\frac{80}{-1435}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{16}{287}", ["y"] = -16, ["z"] = 287 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.58", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "2 + (-15)", ["typ"] = "plus" }, ["render"] = "(2 + (-15))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{5} \\cdot (2 + (-15))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot (2 + (-15)) - 8", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{1}{5}}{3\\frac{4}{5} \\cdot (2 + (-15)) - 8}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.59, bodu=25, $$(-8 - 9 \cdot -2 \cdot -7) \cdot 11=\textcolor{white}{-1474}$$return { ["body"] = 25, ["id"] = "C04psr_0818_2106", ["obtiznost"] = 0.59, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1474, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1474}{1}", ["typ"] = "cislo" }, ["tex"] = "-1474", ["tex_float"] = "-1474", ["x"] = -1474 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.59", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-2 \\cdot -7", ["typ"] = "krat" }, ["render"] = "9 \\cdot -2 \\cdot -7", ["typ"] = "krat" }, ["render"] = "-8 - 9 \\cdot -2 \\cdot -7", ["typ"] = "minus" }, ["render"] = "(-8 - 9 \\cdot -2 \\cdot -7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(-8 - 9 \\cdot -2 \\cdot -7) \\cdot 11", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.6, bodu=100, $$\frac{1\frac{4}{9}}{-11 \cdot -12} \cdot (\frac{7}{4\frac{4}{6}})^2=\textcolor{white}{\frac{13}{528}}$$return { ["body"] = 100, ["id"] = "nuRdaJ_0818_2106", ["obtiznost"] = 1.0052, ["reseni"] = { ["float"] = 0.024621212121212, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 528 }, ["render"] = "\\frac{117}{4752}", ["typ"] = "cislo" }, ["tex"] = "\\frac{13}{528}", ["y"] = 13, ["z"] = 528 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -12", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{4}{9}}{-11 \\cdot -12}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{4\\frac{4}{6}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7}{4\\frac{4}{6}})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{1\\frac{4}{9}}{-11 \\cdot -12} \\cdot (\\frac{7}{4\\frac{4}{6}})^2", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.61, bodu=101, $$\frac{1\frac{3}{9}}{\frac{\frac{13}{1\frac{5}{6} + (-11)}}{-11}}=\textcolor{white}{10\frac{40}{117}}$$return { ["body"] = 101, ["id"] = "fw34p7_0818_2106", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = 10.34188034188, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1210, ["jmenovatel"] = 117 }, ["render"] = "\\frac{2420}{234}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{40}{117}", ["x"] = 10, ["y"] = 40, ["z"] = 117 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.61", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} + (-11)", ["typ"] = "plus" }, ["render"] = "\\frac{13}{1\\frac{5}{6} + (-11)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{13}{1\\frac{5}{6} + (-11)}}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{9}}{\\frac{\\frac{13}{1\\frac{5}{6} + (-11)}}{-11}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.62, bodu=76, $$13 + 4 + \frac{1\frac{2}{9} - 8}{15} - (-4)=\textcolor{white}{20\frac{74}{135}}$$return { ["body"] = 76, ["id"] = "SqJifL_0818_2106", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 20.548148148148, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2774, ["jmenovatel"] = 135 }, ["render"] = "\\frac{2774}{135}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{74}{135}", ["x"] = 20, ["y"] = 74, ["z"] = 135 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "13 + 4", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{9} - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{9} - 8}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{9} - 8}{15} - (-4)", ["typ"] = "minus" }, ["render"] = "13 + 4 + \\frac{1\\frac{2}{9} - 8}{15} - (-4)", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.63, bodu=104, $$\frac{3\frac{4}{10} + 11 + 3\frac{5}{9} + (-6 \cdot 10)}{19 - (-19)}=\textcolor{white}{-1\frac{91}{855}}$$return { ["body"] = 104, ["id"] = "1WOdvk_0818_2106", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = -1.106432748538, ["objekt"] = { ["hodnota"] = { ["citatel"] = -946, ["jmenovatel"] = 855 }, ["render"] = "\\frac{-1892}{1710}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{91}{855}", ["x"] = -1, ["y"] = 91, ["z"] = 855 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + 11 + 3\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 10", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{10} + 11 + 3\\frac{5}{9} + (-6 \\cdot 10)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "19 - (-19)", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{4}{10} + 11 + 3\\frac{5}{9} + (-6 \\cdot 10)}{19 - (-19)}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.64, bodu=106, $$((\frac{13 + (-5)}{(-16 - (-15))^2})^3 - 16) \cdot 4\frac{3}{8}=\textcolor{white}{2170}$$return { ["body"] = 106, ["id"] = "uBL0fi_0818_2106", ["obtiznost"] = 1.046, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2170, ["jmenovatel"] = 1 }, ["render"] = "\\frac{17360}{8}", ["typ"] = "cislo" }, ["tex"] = "2170", ["tex_float"] = "2170", ["x"] = 2170 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.64", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "13 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-16 - (-15)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-16 - (-15))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{13 + (-5)}{(-16 - (-15))^2}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{13 + (-5)}{(-16 - (-15))^2})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "(\\frac{13 + (-5)}{(-16 - (-15))^2})^3 - 16", ["typ"] = "minus" }, ["render"] = "((\\frac{13 + (-5)}{(-16 - (-15))^2})^3 - 16)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "((\\frac{13 + (-5)}{(-16 - (-15))^2})^3 - 16) \\cdot 4\\frac{3}{8}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.65, bodu=57, $$\frac{9 + 11}{15 \cdot -17} \cdot -13=\textcolor{white}{1\frac{1}{51}}$$return { ["body"] = 57, ["id"] = "rLfzWq_0818_2106", ["obtiznost"] = 0.65, ["reseni"] = { ["float"] = 1.0196078431373, ["objekt"] = { ["hodnota"] = { ["citatel"] = 52, ["jmenovatel"] = 51 }, ["render"] = "\\frac{52}{51}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{51}", ["x"] = 1, ["y"] = 1, ["z"] = 51 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "9 + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "15 \\cdot -17", ["typ"] = "krat" }, ["render"] = "\\frac{9 + 11}{15 \\cdot -17}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 11}{15 \\cdot -17} \\cdot -13", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.66, bodu=81, $$\frac{14}{2\frac{1}{2} + 19 \cdot -16 - (-10)} \cdot -9=\textcolor{white}{\frac{252}{583}}$$return { ["body"] = 81, ["id"] = "tCVvgt_0818_2106", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = 0.43224699828473, ["objekt"] = { ["hodnota"] = { ["citatel"] = 252, ["jmenovatel"] = 583 }, ["render"] = "\\frac{252}{583}", ["typ"] = "cislo" }, ["tex"] = "\\frac{252}{583}", ["y"] = 252, ["z"] = 583 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "19 \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "19 \\cdot -16 - (-10)", ["typ"] = "minus" }, ["render"] = "2\\frac{1}{2} + 19 \\cdot -16 - (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{14}{2\\frac{1}{2} + 19 \\cdot -16 - (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{2\\frac{1}{2} + 19 \\cdot -16 - (-10)} \\cdot -9", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.67, bodu=109, $$\frac{-10}{-9} - \frac{1\frac{5}{7} \cdot 9}{3\frac{2}{5}}=\textcolor{white}{-3\frac{457}{1071}}$$return { ["body"] = 109, ["id"] = "v3fNUb_0818_2106", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = -3.4267040149393, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3670, ["jmenovatel"] = 1071 }, ["render"] = "\\frac{-3670}{1071}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{457}{1071}", ["x"] = -3, ["y"] = 457, ["z"] = 1071 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{7} \\cdot 9}{3\\frac{2}{5}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-10}{-9} - \\frac{1\\frac{5}{7} \\cdot 9}{3\\frac{2}{5}}", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.68, bodu=112, $$(3 + (-4))^3 - 2\frac{4}{11} + 3 + \frac{1\frac{4}{6}}{(-8 + 10)^4}=\textcolor{white}{-\frac{137}{528}}$$return { ["body"] = 112, ["id"] = "CPnoCY_0818_2106", ["obtiznost"] = 1.0876, ["reseni"] = { ["float"] = -0.2594696969697, ["objekt"] = { ["hodnota"] = { ["citatel"] = -137, ["jmenovatel"] = 528 }, ["render"] = "\\frac{-137}{528}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{137}{528}", ["y"] = -137, ["z"] = 528 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "3 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(3 + (-4))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "(3 + (-4))^3 - 2\\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-8 + 10", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-8 + 10)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{1\\frac{4}{6}}{(-8 + 10)^4}", ["typ"] = "lomeno" }, ["render"] = "3 + \\frac{1\\frac{4}{6}}{(-8 + 10)^4}", ["typ"] = "plus" }, ["render"] = "(3 + (-4))^3 - 2\\frac{4}{11} + 3 + \\frac{1\\frac{4}{6}}{(-8 + 10)^4}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.69, bodu=30, $$(15 + (-17))^2 \cdot (14 + 18 + 9 - (-14 + 15))=\textcolor{white}{160}$$return { ["body"] = 30, ["id"] = "6Ci4ZY_0818_2106", ["obtiznost"] = 0.692, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 160, ["jmenovatel"] = 1 }, ["render"] = "\\frac{160}{1}", ["typ"] = "cislo" }, ["tex"] = "160", ["tex_float"] = "160", ["x"] = 160 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.69", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "15 + (-17)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(15 + (-17))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "18 + 9", ["typ"] = "plus" }, ["render"] = "14 + 18 + 9", ["typ"] = "plus" }, ["c2"] = { ["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"] = "plus" }, ["render"] = "(-14 + 15)", ["typ"] = "zavorka" }, ["render"] = "14 + 18 + 9 - (-14 + 15)", ["typ"] = "minus" }, ["render"] = "(14 + 18 + 9 - (-14 + 15))", ["typ"] = "zavorka" }, ["render"] = "(15 + (-17))^2 \\cdot (14 + 18 + 9 - (-14 + 15))", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.7, bodu=113, $$\frac{\frac{11}{1\frac{5}{8}} - \frac{13}{12}}{2\frac{1}{8} + 11}=\textcolor{white}{\frac{1774}{4095}}$$return { ["body"] = 113, ["id"] = "a9fNlI_0818_2106", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 0.43321123321123, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1774, ["jmenovatel"] = 4095 }, ["render"] = "\\frac{7096}{16380}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1774}{4095}", ["y"] = 1774, ["z"] = 4095 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{1\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11}{1\\frac{5}{8}} - \\frac{13}{12}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{8} + 11", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{11}{1\\frac{5}{8}} - \\frac{13}{12}}{2\\frac{1}{8} + 11}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.71, bodu=144, $$-18 \cdot \frac{3\frac{1}{4} - 11 - 3\frac{1}{6}}{1\frac{5}{11}}=\textcolor{white}{135\frac{3}{32}}$$return { ["body"] = 144, ["id"] = "oL9VCs_0818_2106", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = 135.09375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4323, ["jmenovatel"] = 32 }, ["render"] = "\\frac{25938}{192}", ["typ"] = "cislo" }, ["tex"] = "135\\frac{3}{32}", ["x"] = 135, ["y"] = 3, ["z"] = 32 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.71", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} - 11 - 3\\frac{1}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4} - 11 - 3\\frac{1}{6}}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["render"] = "-18 \\cdot \\frac{3\\frac{1}{4} - 11 - 3\\frac{1}{6}}{1\\frac{5}{11}}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.72, bodu=89, $$\frac{8 \cdot 9}{9 \cdot 3\frac{3}{11} + 9 - 4}=\textcolor{white}{2\frac{34}{379}}$$return { ["body"] = 89, ["id"] = "vhoN7d_0818_2106", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 2.089709762533, ["objekt"] = { ["hodnota"] = { ["citatel"] = 792, ["jmenovatel"] = 379 }, ["render"] = "\\frac{792}{379}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{34}{379}", ["x"] = 2, ["y"] = 34, ["z"] = 379 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 3\\frac{3}{11}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "9 - 4", ["typ"] = "minus" }, ["render"] = "9 \\cdot 3\\frac{3}{11} + 9 - 4", ["typ"] = "plus" }, ["render"] = "\\frac{8 \\cdot 9}{9 \\cdot 3\\frac{3}{11} + 9 - 4}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.73, bodu=33, $$-17 \cdot -12 \cdot 15 \cdot (13 - (-5))=\textcolor{white}{55080}$$return { ["body"] = 33, ["id"] = "OBOz70_0818_2106", ["obtiznost"] = 0.73, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 55080, ["jmenovatel"] = 1 }, ["render"] = "\\frac{55080}{1}", ["typ"] = "cislo" }, ["tex"] = "55080", ["tex_float"] = "55080", ["x"] = 55080 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "13 - (-5)", ["typ"] = "minus" }, ["render"] = "(13 - (-5))", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot (13 - (-5))", ["typ"] = "krat" }, ["render"] = "-17 \\cdot -12 \\cdot 15 \\cdot (13 - (-5))", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.74, bodu=119, $$\frac{(2\frac{3}{11} - 21) \cdot -13}{4\frac{1}{9} + (-10)} - 7=\textcolor{white}{-48\frac{199}{583}}$$return { ["body"] = 119, ["id"] = "ajspBb_0818_2106", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -48.341337907376, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28183, ["jmenovatel"] = 583 }, ["render"] = "\\frac{-28183}{583}", ["typ"] = "cislo" }, ["tex"] = "-48\\frac{199}{583}", ["x"] = -48, ["y"] = 199, ["z"] = 583 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} - 21", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{11} - 21)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{11} - 21) \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{9} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{(2\\frac{3}{11} - 21) \\cdot -13}{4\\frac{1}{9} + (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{(2\\frac{3}{11} - 21) \\cdot -13}{4\\frac{1}{9} + (-10)} - 7", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.75, bodu=120, $$\frac{2\frac{2}{7} \cdot 2\frac{1}{4} \cdot -12}{11 \cdot -9}=\textcolor{white}{\frac{48}{77}}$$return { ["body"] = 120, ["id"] = "YyLsPN_0818_2106", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 0.62337662337662, ["objekt"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-432}{-693}", ["typ"] = "cislo" }, ["tex"] = "\\frac{48}{77}", ["y"] = 48, ["z"] = 77 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot 2\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot 2\\frac{1}{4} \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["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" }, ["render"] = "\\frac{2\\frac{2}{7} \\cdot 2\\frac{1}{4} \\cdot -12}{11 \\cdot -9}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.76, bodu=152, $$\frac{\frac{\frac{3\frac{1}{7}}{-10}}{-19 \cdot 4\frac{2}{5}}}{1\frac{2}{7}}=\textcolor{white}{\frac{1}{342}}$$return { ["body"] = 152, ["id"] = "pmycar_0818_2106", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = 0.0029239766081871, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 342 }, ["render"] = "\\frac{7}{2394}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{342}", ["y"] = 1, ["z"] = 342 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{7}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot 4\\frac{2}{5}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{3\\frac{1}{7}}{-10}}{-19 \\cdot 4\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{3\\frac{1}{7}}{-10}}{-19 \\cdot 4\\frac{2}{5}}}{1\\frac{2}{7}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.77, bodu=221, $$2\frac{2}{10} + 2\frac{1}{3} - (3\frac{2}{8} + (-12) + 4\frac{2}{6} + \frac{2\frac{3}{9}}{-12})=\textcolor{white}{9\frac{13}{90}}$$return { ["body"] = 221, ["id"] = "13hS5A_0818_2106", ["obtiznost"] = 1.77, ["reseni"] = { ["float"] = 9.1444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 823, ["jmenovatel"] = 90 }, ["render"] = "\\frac{2469}{270}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{13}{90}", ["x"] = 9, ["y"] = 13, ["z"] = 90 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{10} + 2\\frac{1}{3}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{9}}{-12}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{2}{6} + \\frac{2\\frac{3}{9}}{-12}", ["typ"] = "plus" }, ["render"] = "3\\frac{2}{8} + (-12) + 4\\frac{2}{6} + \\frac{2\\frac{3}{9}}{-12}", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{8} + (-12) + 4\\frac{2}{6} + \\frac{2\\frac{3}{9}}{-12})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{10} + 2\\frac{1}{3} - (3\\frac{2}{8} + (-12) + 4\\frac{2}{6} + \\frac{2\\frac{3}{9}}{-12})", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.78, bodu=202, $$\frac{(4\frac{2}{6} - 9)^2}{(3\frac{5}{13} \cdot 2\frac{1}{6})^2 - 17}=\textcolor{white}{\frac{196}{331}}$$return { ["body"] = 202, ["id"] = "DRfuH0_0818_2106", ["obtiznost"] = 1.6592, ["reseni"] = { ["float"] = 0.59214501510574, ["objekt"] = { ["hodnota"] = { ["citatel"] = 196, ["jmenovatel"] = 331 }, ["render"] = "\\frac{1764}{2979}", ["typ"] = "cislo" }, ["tex"] = "\\frac{196}{331}", ["y"] = 196, ["z"] = 331 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.78", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{6} - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{6} - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{13} \\cdot 2\\frac{1}{6}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{5}{13} \\cdot 2\\frac{1}{6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "(3\\frac{5}{13} \\cdot 2\\frac{1}{6})^2 - 17", ["typ"] = "minus" }, ["render"] = "\\frac{(4\\frac{2}{6} - 9)^2}{(3\\frac{5}{13} \\cdot 2\\frac{1}{6})^2 - 17}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.79, bodu=157, $$-7 \cdot (1\frac{5}{10} - 19) - \frac{2\frac{5}{7}}{2\frac{2}{6}}=\textcolor{white}{121\frac{33}{98}}$$return { ["body"] = 157, ["id"] = "0d4xvD_0818_2106", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = 121.33673469388, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11891, ["jmenovatel"] = 98 }, ["render"] = "\\frac{11891}{98}", ["typ"] = "cislo" }, ["tex"] = "121\\frac{33}{98}", ["x"] = 121, ["y"] = 33, ["z"] = 98 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} - 19", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{10} - 19)", ["typ"] = "zavorka" }, ["render"] = "-7 \\cdot (1\\frac{5}{10} - 19)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{7}}{2\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "-7 \\cdot (1\\frac{5}{10} - 19) - \\frac{2\\frac{5}{7}}{2\\frac{2}{6}}", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.8, bodu=128, $$\frac{\frac{-13}{19} \cdot \frac{15}{4\frac{3}{10}}}{1\frac{1}{5} - 10}=\textcolor{white}{\frac{4875}{17974}}$$return { ["body"] = 128, ["id"] = "AwMoy5_0818_2106", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = 0.27122510292645, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4875, ["jmenovatel"] = 17974 }, ["render"] = "\\frac{-9750}{-35948}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4875}{17974}", ["y"] = 4875, ["z"] = 17974 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{19}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{4\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{19} \\cdot \\frac{15}{4\\frac{3}{10}}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} - 10", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-13}{19} \\cdot \\frac{15}{4\\frac{3}{10}}}{1\\frac{1}{5} - 10}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.81, bodu=160, $$-17 + 1\frac{4}{11} + \frac{\frac{5}{1\frac{2}{5}}}{\frac{-13}{3\frac{3}{13}}}=\textcolor{white}{-16\frac{974}{1859}}$$return { ["body"] = 160, ["id"] = "uGZfO3_0818_2106", ["obtiznost"] = 1.41, ["reseni"] = { ["float"] = -16.523937600861, ["objekt"] = { ["hodnota"] = { ["citatel"] = -30718, ["jmenovatel"] = 1859 }, ["render"] = "\\frac{-30718}{1859}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{974}{1859}", ["x"] = -16, ["y"] = 974, ["z"] = 1859 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.81", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{3\\frac{3}{13}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{5}{1\\frac{2}{5}}}{\\frac{-13}{3\\frac{3}{13}}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{4}{11} + \\frac{\\frac{5}{1\\frac{2}{5}}}{\\frac{-13}{3\\frac{3}{13}}}", ["typ"] = "plus" }, ["render"] = "-17 + 1\\frac{4}{11} + \\frac{\\frac{5}{1\\frac{2}{5}}}{\\frac{-13}{3\\frac{3}{13}}}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.82, bodu=131, $$\frac{-16}{\frac{-12 - (-17)}{4\frac{3}{6} \cdot 4\frac{1}{7}}} + 12=\textcolor{white}{-47\frac{23}{35}}$$return { ["body"] = 131, ["id"] = "aD0yFB_0818_2106", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -47.657142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1668, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-1668}{35}", ["typ"] = "cislo" }, ["tex"] = "-47\\frac{23}{35}", ["x"] = -47, ["y"] = 23, ["z"] = 35 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} \\cdot 4\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{-12 - (-17)}{4\\frac{3}{6} \\cdot 4\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-16}{\\frac{-12 - (-17)}{4\\frac{3}{6} \\cdot 4\\frac{1}{7}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{\\frac{-12 - (-17)}{4\\frac{3}{6} \\cdot 4\\frac{1}{7}}} + 12", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.83, bodu=199, $$\frac{-16 - (4\frac{5}{12} - 4\frac{3}{12})^2}{1\frac{4}{9} \cdot 1\frac{2}{5}} + 8=\textcolor{white}{\frac{27}{364}}$$return { ["body"] = 199, ["id"] = "MLbMK3_0818_2106", ["obtiznost"] = 1.6448, ["reseni"] = { ["float"] = 0.074175824175824, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 364 }, ["render"] = "\\frac{27}{364}", ["typ"] = "cislo" }, ["tex"] = "\\frac{27}{364}", ["y"] = 27, ["z"] = 364 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{12} - 4\\frac{3}{12}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{5}{12} - 4\\frac{3}{12})^2", ["typ"] = "mocnina" }, ["render"] = "-16 - (4\\frac{5}{12} - 4\\frac{3}{12})^2", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} \\cdot 1\\frac{2}{5}", ["typ"] = "krat" }, ["render"] = "\\frac{-16 - (4\\frac{5}{12} - 4\\frac{3}{12})^2}{1\\frac{4}{9} \\cdot 1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-16 - (4\\frac{5}{12} - 4\\frac{3}{12})^2}{1\\frac{4}{9} \\cdot 1\\frac{2}{5}} + 8", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.84, bodu=134, $$\frac{13}{18 + \frac{1\frac{2}{11}}{11} \cdot 4\frac{5}{8} \cdot 11}=\textcolor{white}{\frac{1144}{2065}}$$return { ["body"] = 134, ["id"] = "anI6fu_0818_2106", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 0.55399515738499, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1144, ["jmenovatel"] = 2065 }, ["render"] = "\\frac{1144}{2065}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1144}{2065}", ["y"] = 1144, ["z"] = 2065 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.84", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{11}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{2}{11}}{11} \\cdot 4\\frac{5}{8} \\cdot 11", ["typ"] = "krat" }, ["render"] = "18 + \\frac{1\\frac{2}{11}}{11} \\cdot 4\\frac{5}{8} \\cdot 11", ["typ"] = "plus" }, ["render"] = "\\frac{13}{18 + \\frac{1\\frac{2}{11}}{11} \\cdot 4\\frac{5}{8} \\cdot 11}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.85, bodu=126, $$(-8 - (18 + (-19)))^3 - (-11 - (7 + 11)) \cdot 1\frac{4}{9}=\textcolor{white}{-301\frac{1}{9}}$$return { ["body"] = 126, ["id"] = "0pfI7D_0818_2106", ["obtiznost"] = 1.1876, ["reseni"] = { ["float"] = -301.11111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2710, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-2710}{9}", ["typ"] = "cislo" }, ["tex"] = "-301\\frac{1}{9}", ["x"] = -301, ["y"] = 1, ["z"] = 9 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.85", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "18 + (-19)", ["typ"] = "plus" }, ["render"] = "(18 + (-19))", ["typ"] = "zavorka" }, ["render"] = "-8 - (18 + (-19))", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-8 - (18 + (-19)))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "7 + 11", ["typ"] = "plus" }, ["render"] = "(7 + 11)", ["typ"] = "zavorka" }, ["render"] = "-11 - (7 + 11)", ["typ"] = "minus" }, ["render"] = "(-11 - (7 + 11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(-11 - (7 + 11)) \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "(-8 - (18 + (-19)))^3 - (-11 - (7 + 11)) \\cdot 1\\frac{4}{9}", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.86, bodu=137, $$\frac{-15}{2\frac{3}{5}} \cdot (2\frac{3}{9} + (-17)) \cdot 14 \cdot 12=\textcolor{white}{14215\frac{5}{13}}$$return { ["body"] = 137, ["id"] = "hdKO7N_0818_2106", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = 14215.384615385, ["objekt"] = { ["hodnota"] = { ["citatel"] = 184800, ["jmenovatel"] = 13 }, ["render"] = "\\frac{184800}{13}", ["typ"] = "cislo" }, ["tex"] = "14215\\frac{5}{13}", ["x"] = 14215, ["y"] = 5, ["z"] = 13 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{2\\frac{3}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + (-17)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{9} + (-17))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{9} + (-17)) \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{9} + (-17)) \\cdot 14 \\cdot 12", ["typ"] = "krat" }, ["render"] = "\\frac{-15}{2\\frac{3}{5}} \\cdot (2\\frac{3}{9} + (-17)) \\cdot 14 \\cdot 12", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.87, bodu=170, $$\frac{\frac{\frac{3\frac{5}{14}}{3\frac{1}{3}} - (-7)}{-12}}{2\frac{1}{6} + 16}=\textcolor{white}{-\frac{1121}{30520}}$$return { ["body"] = 170, ["id"] = "1jhiZl_0818_2106", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = -0.03673001310616, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1121, ["jmenovatel"] = 30520 }, ["render"] = "\\frac{-6726}{183120}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1121}{30520}", ["y"] = -1121, ["z"] = 30520 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{14}}{3\\frac{1}{3}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{14}}{3\\frac{1}{3}} - (-7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{5}{14}}{3\\frac{1}{3}} - (-7)}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} + 16", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{\\frac{3\\frac{5}{14}}{3\\frac{1}{3}} - (-7)}{-12}}{2\\frac{1}{6} + 16}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.88, bodu=241, $$\frac{1\frac{4}{11}}{3\frac{2}{6} \cdot 4\frac{1}{6} + \frac{-10 + 4\frac{4}{8}}{3\frac{4}{5}}}=\textcolor{white}{\frac{1026}{9361}}$$return { ["body"] = 241, ["id"] = "axkOkR_0818_2106", ["obtiznost"] = 1.88, ["reseni"] = { ["float"] = 0.10960367482107, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1026, ["jmenovatel"] = 9361 }, ["render"] = "\\frac{5130}{46805}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1026}{9361}", ["y"] = 1026, ["z"] = 9361 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.88", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} \\cdot 4\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-10 + 4\\frac{4}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 + 4\\frac{4}{8}}{3\\frac{4}{5}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{2}{6} \\cdot 4\\frac{1}{6} + \\frac{-10 + 4\\frac{4}{8}}{3\\frac{4}{5}}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{4}{11}}{3\\frac{2}{6} \\cdot 4\\frac{1}{6} + \\frac{-10 + 4\\frac{4}{8}}{3\\frac{4}{5}}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.89, bodu=141, $$1\frac{5}{9} \cdot 4\frac{3}{10} \cdot 16 \cdot \frac{20}{19}=\textcolor{white}{112\frac{112}{171}}$$return { ["body"] = 141, ["id"] = "GGJudO_0818_2106", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = 112.65497076023, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19264, ["jmenovatel"] = 171 }, ["render"] = "\\frac{19264}{171}", ["typ"] = "cislo" }, ["tex"] = "112\\frac{112}{171}", ["x"] = 112, ["y"] = 112, ["z"] = 171 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.89", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{10} \\cdot 16", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{19}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{10} \\cdot 16 \\cdot \\frac{20}{19}", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{9} \\cdot 4\\frac{3}{10} \\cdot 16 \\cdot \\frac{20}{19}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.9, bodu=143, $$\frac{16 \cdot 14}{(3\frac{4}{12} + 15 \cdot 17) \cdot 4\frac{5}{10}}=\textcolor{white}{\frac{448}{2325}}$$return { ["body"] = 143, ["id"] = "JxFVUC_0818_2106", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 0.19268817204301, ["objekt"] = { ["hodnota"] = { ["citatel"] = 448, ["jmenovatel"] = 2325 }, ["render"] = "\\frac{448}{2325}", ["typ"] = "cislo" }, ["tex"] = "\\frac{448}{2325}", ["y"] = 448, ["z"] = 2325 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 17", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{12} + 15 \\cdot 17", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{12} + 15 \\cdot 17)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{4}{12} + 15 \\cdot 17) \\cdot 4\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{16 \\cdot 14}{(3\\frac{4}{12} + 15 \\cdot 17) \\cdot 4\\frac{5}{10}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.91, bodu=247, $$\frac{2\frac{5}{8} \cdot 2\frac{1}{2} - 1\frac{1}{10}}{1\frac{1}{6} - \frac{1\frac{2}{10}}{-16}}=\textcolor{white}{4\frac{119}{298}}$$return { ["body"] = 247, ["id"] = "mh5X39_0818_2106", ["obtiznost"] = 1.91, ["reseni"] = { ["float"] = 4.3993288590604, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1311, ["jmenovatel"] = 298 }, ["render"] = "\\frac{52440}{11920}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{119}{298}", ["x"] = 4, ["y"] = 119, ["z"] = 298 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{8} \\cdot 2\\frac{1}{2}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{8} \\cdot 2\\frac{1}{2} - 1\\frac{1}{10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{10}}{-16}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{6} - \\frac{1\\frac{2}{10}}{-16}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{5}{8} \\cdot 2\\frac{1}{2} - 1\\frac{1}{10}}{1\\frac{1}{6} - \\frac{1\\frac{2}{10}}{-16}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.92, bodu=135, $$1\frac{3}{8} - 15 - (\frac{-14}{(7 - (-11))^2} - (-20))=\textcolor{white}{-33\frac{377}{648}}$$return { ["body"] = 135, ["id"] = "5nHDki_0818_2106", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = -33.581790123457, ["objekt"] = { ["hodnota"] = { ["citatel"] = -21761, ["jmenovatel"] = 648 }, ["render"] = "\\frac{-43522}{1296}", ["typ"] = "cislo" }, ["tex"] = "-33\\frac{377}{648}", ["x"] = -33, ["y"] = 377, ["z"] = 648 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} - 15", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "7 - (-11)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - (-11))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-14}{(7 - (-11))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{(7 - (-11))^2} - (-20)", ["typ"] = "minus" }, ["render"] = "(\\frac{-14}{(7 - (-11))^2} - (-20))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{8} - 15 - (\\frac{-14}{(7 - (-11))^2} - (-20))", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.93, bodu=148, $$(\frac{13}{-18} + 3\frac{5}{10} + 9) \cdot (4\frac{1}{4} - \frac{14}{11})=\textcolor{white}{35\frac{13}{198}}$$return { ["body"] = 148, ["id"] = "NTHpLk_0818_2106", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = 35.065656565657, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6943, ["jmenovatel"] = 198 }, ["render"] = "\\frac{13886}{396}", ["typ"] = "cislo" }, ["tex"] = "35\\frac{13}{198}", ["x"] = 35, ["y"] = 13, ["z"] = 198 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.93", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-18}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-18} + 3\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-18} + 3\\frac{5}{10} + 9", ["typ"] = "plus" }, ["render"] = "(\\frac{13}{-18} + 3\\frac{5}{10} + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{11}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{4} - \\frac{14}{11}", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{4} - \\frac{14}{11})", ["typ"] = "zavorka" }, ["render"] = "(\\frac{13}{-18} + 3\\frac{5}{10} + 9) \\cdot (4\\frac{1}{4} - \\frac{14}{11})", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.94, bodu=200, $$\frac{4\frac{4}{7} \cdot (\frac{-6}{21 + 11})^2 \cdot 2\frac{3}{13}}{4\frac{1}{3}}=\textcolor{white}{\frac{783}{9464}}$$return { ["body"] = 200, ["id"] = "UTDPZ4_0818_2106", ["obtiznost"] = 1.646, ["reseni"] = { ["float"] = 0.082734573119188, ["objekt"] = { ["hodnota"] = { ["citatel"] = 783, ["jmenovatel"] = 9464 }, ["render"] = "\\frac{783}{9464}", ["typ"] = "cislo" }, ["tex"] = "\\frac{783}{9464}", ["y"] = 783, ["z"] = 9464 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "21 + 11", ["typ"] = "plus" }, ["render"] = "\\frac{-6}{21 + 11}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-6}{21 + 11})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{7} \\cdot (\\frac{-6}{21 + 11})^2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} \\cdot (\\frac{-6}{21 + 11})^2 \\cdot 2\\frac{3}{13}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{7} \\cdot (\\frac{-6}{21 + 11})^2 \\cdot 2\\frac{3}{13}}{4\\frac{1}{3}}", ["typ"] = "lomeno" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.95, bodu=205, $$\frac{1\frac{5}{11} + 1\frac{3}{12} + (-15) - (12 + 13)}{2\frac{1}{3}} - (-10 + (-8))^2=\textcolor{white}{-339\frac{303}{308}}$$return { ["body"] = 205, ["id"] = "jMRVmy_0818_2106", ["obtiznost"] = 1.68, ["reseni"] = { ["float"] = -339.98376623377, ["objekt"] = { ["hodnota"] = { ["citatel"] = -104715, ["jmenovatel"] = 308 }, ["render"] = "\\frac{-104715}{308}", ["typ"] = "cislo" }, ["tex"] = "-339\\frac{303}{308}", ["x"] = -339, ["y"] = 303, ["z"] = 308 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{12} + (-15)", ["typ"] = "plus" }, ["render"] = "1\\frac{5}{11} + 1\\frac{3}{12} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "12 + 13", ["typ"] = "plus" }, ["render"] = "(12 + 13)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{11} + 1\\frac{3}{12} + (-15) - (12 + 13)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{11} + 1\\frac{3}{12} + (-15) - (12 + 13)}{2\\frac{1}{3}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-10 + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-10 + (-8))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{1\\frac{5}{11} + 1\\frac{3}{12} + (-15) - (12 + 13)}{2\\frac{1}{3}} - (-10 + (-8))^2", ["typ"] = "minus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.96, bodu=256, $$(3\frac{4}{12} - 3) \cdot (4\frac{4}{9} - (-16) + 3\frac{5}{11} + 2\frac{4}{14}) \cdot 2\frac{2}{7}=\textcolor{white}{19\frac{13829}{14553}}$$return { ["body"] = 256, ["id"] = "9L7QIb_0818_2106", ["obtiznost"] = 1.96, ["reseni"] = { ["float"] = 19.950250807394, ["objekt"] = { ["hodnota"] = { ["citatel"] = 290336, ["jmenovatel"] = 14553 }, ["render"] = "\\frac{290336}{14553}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{13829}{14553}", ["x"] = 19, ["y"] = 13829, ["z"] = 14553 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.96", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{12} - 3", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{12} - 3)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - (-16)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - (-16) + 3\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{14}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - (-16) + 3\\frac{5}{11} + 2\\frac{4}{14}", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{9} - (-16) + 3\\frac{5}{11} + 2\\frac{4}{14})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{4}{9} - (-16) + 3\\frac{5}{11} + 2\\frac{4}{14}) \\cdot 2\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "(3\\frac{4}{12} - 3) \\cdot (4\\frac{4}{9} - (-16) + 3\\frac{5}{11} + 2\\frac{4}{14}) \\cdot 2\\frac{2}{7}", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.97, bodu=317, $$(1\frac{2}{11} + 1\frac{1}{11})^2 \cdot (2\frac{3}{11} - 4\frac{2}{11} - (-10 \cdot 23 - 3\frac{1}{8}))=\textcolor{white}{1194\frac{3163}{10648}}$$return { ["body"] = 317, ["id"] = "saWPCw_0818_2106", ["obtiznost"] = 2.2684, ["reseni"] = { ["float"] = 1194.2970510894, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12716875, ["jmenovatel"] = 10648 }, ["render"] = "\\frac{12716875}{10648}", ["typ"] = "cislo" }, ["tex"] = "1194\\frac{3163}{10648}", ["x"] = 1194, ["y"] = 3163, ["z"] = 10648 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.97", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{1}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{11} + 1\\frac{1}{11}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{2}{11} + 1\\frac{1}{11})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} - 4\\frac{2}{11}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 23", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 23 - 3\\frac{1}{8}", ["typ"] = "minus" }, ["render"] = "(-10 \\cdot 23 - 3\\frac{1}{8})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{3}{11} - 4\\frac{2}{11} - (-10 \\cdot 23 - 3\\frac{1}{8})", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{11} - 4\\frac{2}{11} - (-10 \\cdot 23 - 3\\frac{1}{8}))", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{2}{11} + 1\\frac{1}{11})^2 \\cdot (2\\frac{3}{11} - 4\\frac{2}{11} - (-10 \\cdot 23 - 3\\frac{1}{8}))", ["typ"] = "krat" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.98, bodu=188, $$16 - (-10) + \frac{\frac{\frac{3\frac{5}{13}}{9}}{3\frac{2}{7}}}{3\frac{5}{13}}=\textcolor{white}{26\frac{7}{207}}$$return { ["body"] = 188, ["id"] = "YiAJYb_0818_2106", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = 26.033816425121, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5389, ["jmenovatel"] = 207 }, ["render"] = "\\frac{5389}{207}", ["typ"] = "cislo" }, ["tex"] = "26\\frac{7}{207}", ["x"] = 26, ["y"] = 7, ["z"] = 207 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "16 - (-10)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{13}}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{5}{13}}{9}}{3\\frac{2}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{3\\frac{5}{13}}{9}}{3\\frac{2}{7}}}{3\\frac{5}{13}}", ["typ"] = "lomeno" }, ["render"] = "16 - (-10) + \\frac{\\frac{\\frac{3\\frac{5}{13}}{9}}{3\\frac{2}{7}}}{3\\frac{5}{13}}", ["typ"] = "plus" } }

seed: g4EaIKM3rDIkJE4l8O8R_0.99, bodu=199, $$3\frac{2}{6} - (-5) - (2\frac{4}{12} + (18 - 13)^3 - 2\frac{2}{5} + (-20))=\textcolor{white}{-96{,}6}$$return { ["body"] = 199, ["id"] = "3wzK47_0818_2106", ["obtiznost"] = 1.6404, ["reseni"] = { ["float"] = -96.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = -483, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-4347}{45}", ["typ"] = "cislo" }, ["tex"] = "-96\\frac{3}{5}", ["tex_float"] = "-96{,}6", ["x"] = -96, ["y"] = 3, ["z"] = 5 }, ["seed"] = "g4EaIKM3rDIkJE4l8O8R_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} - (-5)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "18 - 13", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(18 - 13)^3", ["typ"] = "mocnina" }, ["render"] = "2\\frac{4}{12} + (18 - 13)^3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{12} + (18 - 13)^3 - 2\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{12} + (18 - 13)^3 - 2\\frac{2}{5} + (-20)", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{12} + (18 - 13)^3 - 2\\frac{2}{5} + (-20))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{6} - (-5) - (2\\frac{4}{12} + (18 - 13)^3 - 2\\frac{2}{5} + (-20))", ["typ"] = "minus" } }

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