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Nahodny test, priklady s rostouci obtiznosti...

seed: YEtYdeLepMYiLH1v5GQ2_0, bodu=10, $$\frac{6}{5} \cdot 6=\textcolor{white}{7{,}2}$$return { ["body"] = 10, ["id"] = "4U01WS_0726_1752", ["obtiznost"] = 0, ["reseni"] = { ["float"] = 7.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 5 }, ["render"] = "\\frac{36}{5}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{1}{5}", ["tex_float"] = "7{,}2", ["x"] = 7, ["y"] = 1, ["z"] = 5 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{5} \\cdot 6", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.01, bodu=11, $$(\frac{7}{8})^2 - (-7 + 5)^4=\textcolor{white}{-15\frac{15}{64}}$$return { ["body"] = 11, ["id"] = "U9VFev_0726_1752", ["obtiznost"] = 0.062, ["reseni"] = { ["float"] = -15.234375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -975, ["jmenovatel"] = 64 }, ["render"] = "\\frac{-975}{64}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{15}{64}", ["x"] = -15, ["y"] = 15, ["z"] = 64 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.01", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7}{8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-7 + 5", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-7 + 5)^4", ["typ"] = "mocnina" }, ["render"] = "(\\frac{7}{8})^2 - (-7 + 5)^4", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.02, bodu=10, $$\frac{5 + 10}{10 + 9}=\textcolor{white}{\frac{15}{19}}$$return { ["body"] = 10, ["id"] = "aZDE5D_0726_1752", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = 0.78947368421053, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 19 }, ["render"] = "\\frac{15}{19}", ["typ"] = "cislo" }, ["tex"] = "\\frac{15}{19}", ["y"] = 15, ["z"] = 19 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 + 10", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 + 9", ["typ"] = "plus" }, ["render"] = "\\frac{5 + 10}{10 + 9}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.03, bodu=10, $$8 - (\frac{9}{10} + 5)=\textcolor{white}{2{,}1}$$return { ["body"] = 10, ["id"] = "jlg5vh_0726_1752", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = 2.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "\\frac{21}{10}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{1}{10}", ["tex_float"] = "2{,}1", ["x"] = 2, ["y"] = 1, ["z"] = 10 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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} + 5", ["typ"] = "plus" }, ["render"] = "(\\frac{9}{10} + 5)", ["typ"] = "zavorka" }, ["render"] = "8 - (\\frac{9}{10} + 5)", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.04, bodu=20, $$10 \cdot 7 \cdot 3\frac{5}{7}=\textcolor{white}{260}$$return { ["body"] = 20, ["id"] = "PWNMFQ_0726_1752", ["obtiznost"] = 0.24, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 260, ["jmenovatel"] = 1 }, ["render"] = "\\frac{260}{1}", ["typ"] = "cislo" }, ["tex"] = "260", ["tex_float"] = "260", ["x"] = 260 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 3\\frac{5}{7}", ["typ"] = "krat" }, ["render"] = "10 \\cdot 7 \\cdot 3\\frac{5}{7}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.05, bodu=5, $$5 - (4 - 9 + 6)^4=\textcolor{white}{4}$$return { ["body"] = 5, ["id"] = "Qcg74B_0726_1752", ["obtiznost"] = 0.0508, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4}{1}", ["typ"] = "cislo" }, ["tex"] = "4", ["x"] = 4 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4 - 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4 - 9 + 6", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(4 - 9 + 6)^4", ["typ"] = "mocnina" }, ["render"] = "5 - (4 - 9 + 6)^4", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.06, bodu=5, $$-3 \cdot (7 + (-7)) - 7=\textcolor{white}{-7}$$return { ["body"] = 5, ["id"] = "m2pWJZ_0726_1752", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-7}{1}", ["typ"] = "cislo" }, ["tex"] = "-7", ["tex_float"] = "-7", ["x"] = -7 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 + (-7)", ["typ"] = "plus" }, ["render"] = "(7 + (-7))", ["typ"] = "zavorka" }, ["render"] = "-3 \\cdot (7 + (-7))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot (7 + (-7)) - 7", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.07, bodu=5, $$(8 + 8) \cdot 8 + 7=\textcolor{white}{135}$$return { ["body"] = 5, ["id"] = "GZoDDr_0726_1752", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 135, ["jmenovatel"] = 1 }, ["render"] = "\\frac{135}{1}", ["typ"] = "cislo" }, ["tex"] = "135", ["x"] = 135 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.07", ["zadani"] = { ["c1"] = { ["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"] = "plus" }, ["render"] = "(8 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(8 + 8) \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(8 + 8) \\cdot 8 + 7", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.08, bodu=6, $$5 \cdot 8 \cdot 7=\textcolor{white}{280}$$return { ["body"] = 6, ["id"] = "BeB1eI_0726_1752", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 280, ["jmenovatel"] = 1 }, ["render"] = "\\frac{280}{1}", ["typ"] = "cislo" }, ["tex"] = "280", ["x"] = 280 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 7", ["typ"] = "krat" }, ["render"] = "5 \\cdot 8 \\cdot 7", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.09, bodu=12, $$-5 \cdot \frac{-9}{-5}=\textcolor{white}{-9}$$return { ["body"] = 12, ["id"] = "JtglRS_0726_1752", ["obtiznost"] = 0.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-45}{5}", ["typ"] = "cislo" }, ["tex"] = "-9", ["tex_float"] = "-9", ["x"] = -9 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-5}", ["typ"] = "lomeno" }, ["render"] = "-5 \\cdot \\frac{-9}{-5}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.1, bodu=6, $$7 \cdot (-6 + 4 - (-11))=\textcolor{white}{63}$$return { ["body"] = 6, ["id"] = "j7lXdf_0726_1752", ["obtiznost"] = 0.1, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 1 }, ["render"] = "\\frac{63}{1}", ["typ"] = "cislo" }, ["tex"] = "63", ["x"] = 63 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "4 - (-11)", ["typ"] = "minus" }, ["render"] = "-6 + 4 - (-11)", ["typ"] = "plus" }, ["render"] = "(-6 + 4 - (-11))", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (-6 + 4 - (-11))", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.11, bodu=9, $$(7 + 10)^2 + (-5 + 9) - 5=\textcolor{white}{288}$$return { ["body"] = 9, ["id"] = "LeVG6G_0726_1752", ["obtiznost"] = 0.226, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 288, ["jmenovatel"] = 1 }, ["render"] = "\\frac{288}{1}", ["typ"] = "cislo" }, ["tex"] = "288", ["tex_float"] = "288", ["x"] = 288 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "7 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + 10)^2", ["typ"] = "mocnina" }, ["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"] = "plus" }, ["render"] = "(7 + 10)^2 + (-5 + 9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(7 + 10)^2 + (-5 + 9) - 5", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.12, bodu=6, $$6 - 9 - 5 \cdot 2=\textcolor{white}{-13}$$return { ["body"] = 6, ["id"] = "1dya9O_0726_1752", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-13}{1}", ["typ"] = "cislo" }, ["tex"] = "-13", ["x"] = -13 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "6 - 9", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 2", ["typ"] = "krat" }, ["render"] = "6 - 9 - 5 \\cdot 2", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.13, bodu=14, $$-7 + \frac{6}{-8 + 9}=\textcolor{white}{-1}$$return { ["body"] = 14, ["id"] = "Eptnar_0726_1752", ["obtiznost"] = 0.13, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1}{1}", ["typ"] = "cislo" }, ["tex"] = "-1", ["tex_float"] = "-1", ["x"] = -1 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 + 9", ["typ"] = "plus" }, ["render"] = "\\frac{6}{-8 + 9}", ["typ"] = "lomeno" }, ["render"] = "-7 + \\frac{6}{-8 + 9}", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.14, bodu=38, $$\frac{-3}{(-8 - 4\frac{2}{5} + 9)^2}=\textcolor{white}{-\frac{75}{289}}$$return { ["body"] = 38, ["id"] = "CK206F_0726_1752", ["obtiznost"] = 0.4656, ["reseni"] = { ["float"] = -0.25951557093426, ["objekt"] = { ["hodnota"] = { ["citatel"] = -75, ["jmenovatel"] = 289 }, ["render"] = "\\frac{-75}{289}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{75}{289}", ["y"] = -75, ["z"] = 289 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "-8 - 4\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 - 4\\frac{2}{5} + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-8 - 4\\frac{2}{5} + 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-3}{(-8 - 4\\frac{2}{5} + 9)^2}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.15, bodu=15, $$\frac{(7 - 6)^3}{11} \cdot 8=\textcolor{white}{\frac{8}{11}}$$return { ["body"] = 15, ["id"] = "f965xG_0726_1752", ["obtiznost"] = 0.1508, ["reseni"] = { ["float"] = 0.72727272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 11 }, ["render"] = "\\frac{8}{11}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{11}", ["y"] = 8, ["z"] = 11 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 - 6", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(7 - 6)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{(7 - 6)^3}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(7 - 6)^3}{11} \\cdot 8", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.16, bodu=33, $$7 \cdot \frac{(9 - 4)^4}{12}=\textcolor{white}{364\frac{7}{12}}$$return { ["body"] = 33, ["id"] = "cYkIzs_0726_1752", ["obtiznost"] = 0.4104, ["reseni"] = { ["float"] = 364.58333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4375, ["jmenovatel"] = 12 }, ["render"] = "\\frac{4375}{12}", ["typ"] = "cislo" }, ["tex"] = "364\\frac{7}{12}", ["x"] = 364, ["y"] = 7, ["z"] = 12 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 4, ["render"] = "(9 - 4)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{(9 - 4)^4}{12}", ["typ"] = "lomeno" }, ["render"] = "7 \\cdot \\frac{(9 - 4)^4}{12}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.17, bodu=8, $$(11 + (-3) - (9 + 8)) \cdot 11=\textcolor{white}{-99}$$return { ["body"] = 8, ["id"] = "IDlkJB_0726_1752", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -99, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-99}{1}", ["typ"] = "cislo" }, ["tex"] = "-99", ["x"] = -99 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.17", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "11 + (-3)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "(9 + 8)", ["typ"] = "zavorka" }, ["render"] = "11 + (-3) - (9 + 8)", ["typ"] = "minus" }, ["render"] = "(11 + (-3) - (9 + 8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(11 + (-3) - (9 + 8)) \\cdot 11", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.18, bodu=16, $$\frac{9}{5 \cdot 10}=\textcolor{white}{0{,}18}$$return { ["body"] = 16, ["id"] = "RWIh3Z_0726_1752", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = 0.18, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 50 }, ["render"] = "\\frac{9}{50}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{50}", ["tex_float"] = "0{,}18", ["y"] = 9, ["z"] = 50 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.18", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{9}{5 \\cdot 10}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.19, bodu=33, $$11 \cdot (\frac{7}{6})^3=\textcolor{white}{17\frac{101}{216}}$$return { ["body"] = 33, ["id"] = "l6vibk_0726_1752", ["obtiznost"] = 0.4136, ["reseni"] = { ["float"] = 17.467592592593, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3773, ["jmenovatel"] = 216 }, ["render"] = "\\frac{3773}{216}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{101}{216}", ["x"] = 17, ["y"] = 101, ["z"] = 216 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{6})^3", ["typ"] = "mocnina" }, ["render"] = "11 \\cdot (\\frac{7}{6})^3", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.2, bodu=18, $$\frac{\frac{4}{-10 - 7}}{8}=\textcolor{white}{-\frac{1}{34}}$$return { ["body"] = 18, ["id"] = "moVFpv_0726_1752", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = -0.029411764705882, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 34 }, ["render"] = "\\frac{-4}{136}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{34}", ["y"] = -1, ["z"] = 34 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-10 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{4}{-10 - 7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4}{-10 - 7}}{8}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.21, bodu=18, $$\frac{-5 + 9 - (-3)}{7 \cdot 12}=\textcolor{white}{\frac{1}{12}}$$return { ["body"] = 18, ["id"] = "v3Ut8H_0726_1752", ["obtiznost"] = 0.21, ["reseni"] = { ["float"] = 0.083333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 12 }, ["render"] = "\\frac{7}{84}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{12}", ["y"] = 1, ["z"] = 12 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "9 - (-3)", ["typ"] = "minus" }, ["render"] = "-5 + 9 - (-3)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 12", ["typ"] = "krat" }, ["render"] = "\\frac{-5 + 9 - (-3)}{7 \\cdot 12}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.22, bodu=9, $$-6 \cdot (-8 - (-10) + 5 \cdot 10)=\textcolor{white}{-312}$$return { ["body"] = 9, ["id"] = "2xubC7_0726_1752", ["obtiznost"] = 0.22, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -312, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-312}{1}", ["typ"] = "cislo" }, ["tex"] = "-312", ["x"] = -312 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-8 - (-10)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 10", ["typ"] = "krat" }, ["render"] = "-8 - (-10) + 5 \\cdot 10", ["typ"] = "plus" }, ["render"] = "(-8 - (-10) + 5 \\cdot 10)", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot (-8 - (-10) + 5 \\cdot 10)", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.23, bodu=78, $$\frac{(4 - 1\frac{3}{8}) \cdot (3\frac{1}{6} + 3\frac{1}{4})}{6}=\textcolor{white}{2\frac{155}{192}}$$return { ["body"] = 78, ["id"] = "TNuP3a_0726_1752", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 2.8072916666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 539, ["jmenovatel"] = 192 }, ["render"] = "\\frac{539}{192}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{155}{192}", ["x"] = 2, ["y"] = 155, ["z"] = 192 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "4 - 1\\frac{3}{8}", ["typ"] = "minus" }, ["render"] = "(4 - 1\\frac{3}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + 3\\frac{1}{4}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{6} + 3\\frac{1}{4})", ["typ"] = "zavorka" }, ["render"] = "(4 - 1\\frac{3}{8}) \\cdot (3\\frac{1}{6} + 3\\frac{1}{4})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{(4 - 1\\frac{3}{8}) \\cdot (3\\frac{1}{6} + 3\\frac{1}{4})}{6}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.24, bodu=20, $$11 + \frac{11}{8 + 12} - (-10)=\textcolor{white}{21{,}55}$$return { ["body"] = 20, ["id"] = "CuULFi_0726_1752", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = 21.55, ["objekt"] = { ["hodnota"] = { ["citatel"] = 431, ["jmenovatel"] = 20 }, ["render"] = "\\frac{431}{20}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{11}{20}", ["tex_float"] = "21{,}55", ["x"] = 21, ["y"] = 11, ["z"] = 20 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 + 12", ["typ"] = "plus" }, ["render"] = "\\frac{11}{8 + 12}", ["typ"] = "lomeno" }, ["render"] = "11 + \\frac{11}{8 + 12}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "11 + \\frac{11}{8 + 12} - (-10)", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.25, bodu=23, $$\frac{-8 - (\frac{9}{4})^2}{9}=\textcolor{white}{-1\frac{65}{144}}$$return { ["body"] = 23, ["id"] = "v42c78_0726_1752", ["obtiznost"] = 0.2888, ["reseni"] = { ["float"] = -1.4513888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -209, ["jmenovatel"] = 144 }, ["render"] = "\\frac{-209}{144}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{65}{144}", ["x"] = -1, ["y"] = 65, ["z"] = 144 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{4})^2", ["typ"] = "mocnina" }, ["render"] = "-8 - (\\frac{9}{4})^2", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 - (\\frac{9}{4})^2}{9}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.26, bodu=10, $$6 \cdot (7 - (-8)) \cdot 8=\textcolor{white}{720}$$return { ["body"] = 10, ["id"] = "0XPR29_0726_1752", ["obtiznost"] = 0.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 720, ["jmenovatel"] = 1 }, ["render"] = "\\frac{720}{1}", ["typ"] = "cislo" }, ["tex"] = "720", ["x"] = 720 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "7 - (-8)", ["typ"] = "minus" }, ["render"] = "(7 - (-8))", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (7 - (-8))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 \\cdot (7 - (-8)) \\cdot 8", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.27, bodu=26, $$\frac{11 - 9 + (7 + (-12))^3}{4 + 12}=\textcolor{white}{-7\frac{11}{16}}$$return { ["body"] = 26, ["id"] = "6Nqc8w_0726_1752", ["obtiznost"] = 0.3204, ["reseni"] = { ["float"] = -7.6875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -123, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-123}{16}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{11}{16}", ["x"] = -7, ["y"] = 11, ["z"] = 16 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "11 - 9", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "7 + (-12)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(7 + (-12))^3", ["typ"] = "mocnina" }, ["render"] = "11 - 9 + (7 + (-12))^3", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4 + 12", ["typ"] = "plus" }, ["render"] = "\\frac{11 - 9 + (7 + (-12))^3}{4 + 12}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.28, bodu=11, $$(7 + 3) \cdot 10 \cdot 8=\textcolor{white}{800}$$return { ["body"] = 11, ["id"] = "0EPDRf_0726_1752", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 800, ["jmenovatel"] = 1 }, ["render"] = "\\frac{800}{1}", ["typ"] = "cislo" }, ["tex"] = "800", ["x"] = 800 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.28", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "7 + 3", ["typ"] = "plus" }, ["render"] = "(7 + 3)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8", ["typ"] = "krat" }, ["render"] = "(7 + 3) \\cdot 10 \\cdot 8", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.29, bodu=40, $$\frac{11}{3\frac{3}{5}} - (-8 \cdot 6)=\textcolor{white}{51\frac{1}{18}}$$return { ["body"] = 40, ["id"] = "Gq2MIB_0726_1752", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 51.055555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 919, ["jmenovatel"] = 18 }, ["render"] = "\\frac{919}{18}", ["typ"] = "cislo" }, ["tex"] = "51\\frac{1}{18}", ["x"] = 51, ["y"] = 1, ["z"] = 18 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{3\\frac{3}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{11}{3\\frac{3}{5}} - (-8 \\cdot 6)", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.3, bodu=46, $$(\frac{10}{3})^2 - \frac{6}{4\frac{3}{5}}=\textcolor{white}{9\frac{167}{207}}$$return { ["body"] = 46, ["id"] = "oKxw4o_0726_1752", ["obtiznost"] = 0.5436, ["reseni"] = { ["float"] = 9.8067632850242, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2030, ["jmenovatel"] = 207 }, ["render"] = "\\frac{2030}{207}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{167}{207}", ["x"] = 9, ["y"] = 167, ["z"] = 207 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.3", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{3}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{3})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{4\\frac{3}{5}}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{10}{3})^2 - \\frac{6}{4\\frac{3}{5}}", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.31, bodu=63, $$(1\frac{5}{9} + (-4 \cdot -10) + 2\frac{2}{5}) \cdot 12=\textcolor{white}{527\frac{7}{15}}$$return { ["body"] = 63, ["id"] = "pvNf8m_0726_1752", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = 527.46666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7912, ["jmenovatel"] = 15 }, ["render"] = "\\frac{23736}{45}", ["typ"] = "cislo" }, ["tex"] = "527\\frac{7}{15}", ["x"] = 527, ["y"] = 7, ["z"] = 15 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.31", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot -10", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{9} + (-4 \\cdot -10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} + (-4 \\cdot -10) + 2\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(1\\frac{5}{9} + (-4 \\cdot -10) + 2\\frac{2}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(1\\frac{5}{9} + (-4 \\cdot -10) + 2\\frac{2}{5}) \\cdot 12", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.32, bodu=43, $$\frac{4\frac{4}{8} \cdot -9}{-6} + (-5)=\textcolor{white}{1{,}75}$$return { ["body"] = 43, ["id"] = "oyBcdO_0726_1752", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = 1.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "\\frac{7}{4}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{3}{4}", ["tex_float"] = "1{,}75", ["x"] = 1, ["y"] = 3, ["z"] = 4 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8} \\cdot -9}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8} \\cdot -9}{-6} + (-5)", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.33, bodu=27, $$\frac{7}{14 - \frac{-10}{6}}=\textcolor{white}{\frac{21}{47}}$$return { ["body"] = 27, ["id"] = "ohGde9_0726_1752", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = 0.4468085106383, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 47 }, ["render"] = "\\frac{21}{47}", ["typ"] = "cislo" }, ["tex"] = "\\frac{21}{47}", ["y"] = 21, ["z"] = 47 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{6}", ["typ"] = "lomeno" }, ["render"] = "14 - \\frac{-10}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{7}{14 - \\frac{-10}{6}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.34, bodu=28, $$(6 \cdot \frac{10 - 9}{12})^3=\textcolor{white}{0{,}125}$$return { ["body"] = 28, ["id"] = "xvCKrJ_0726_1752", ["obtiznost"] = 0.3436, ["reseni"] = { ["float"] = 0.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 8 }, ["render"] = "\\frac{1}{8}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{8}", ["tex_float"] = "0{,}125", ["y"] = 1, ["z"] = 8 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.34", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{10 - 9}{12}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{10 - 9}{12}", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(6 \\cdot \\frac{10 - 9}{12})^3", ["typ"] = "mocnina" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.35, bodu=28, $$\frac{10}{-6} - (7 - 9)^3=\textcolor{white}{6\frac{1}{3}}$$return { ["body"] = 28, ["id"] = "SNwULS_0726_1752", ["obtiznost"] = 0.3536, ["reseni"] = { ["float"] = 6.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 3 }, ["render"] = "\\frac{19}{3}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1}{3}", ["x"] = 6, ["y"] = 1, ["z"] = 3 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 - 9", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(7 - 9)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{10}{-6} - (7 - 9)^3", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.36, bodu=72, $$(3\frac{2}{7} + (-3))^2 - (\frac{15}{2\frac{2}{5}} - 12)=\textcolor{white}{5\frac{163}{196}}$$return { ["body"] = 72, ["id"] = "Y8ffoQ_0726_1752", ["obtiznost"] = 0.7812, ["reseni"] = { ["float"] = 5.8316326530612, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1143, ["jmenovatel"] = 196 }, ["render"] = "\\frac{1143}{196}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{163}{196}", ["x"] = 5, ["y"] = 163, ["z"] = 196 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.36", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{7} + (-3)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{2}{7} + (-3))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{2\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{2\\frac{2}{5}} - 12", ["typ"] = "minus" }, ["render"] = "(\\frac{15}{2\\frac{2}{5}} - 12)", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{2}{7} + (-3))^2 - (\\frac{15}{2\\frac{2}{5}} - 12)", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.37, bodu=48, $$-7 + 4\frac{2}{6} - (14 - (-12 \cdot 10))=\textcolor{white}{-136\frac{2}{3}}$$return { ["body"] = 48, ["id"] = "iaXDGw_0726_1752", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = -136.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -410, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-410}{3}", ["typ"] = "cislo" }, ["tex"] = "-136\\frac{2}{3}", ["x"] = -136, ["y"] = 2, ["z"] = 3 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-7 + 4\\frac{2}{6}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 10", ["typ"] = "krat" }, ["render"] = "14 - (-12 \\cdot 10)", ["typ"] = "minus" }, ["render"] = "(14 - (-12 \\cdot 10))", ["typ"] = "zavorka" }, ["render"] = "-7 + 4\\frac{2}{6} - (14 - (-12 \\cdot 10))", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.38, bodu=49, $$4\frac{1}{5} + (-9 \cdot 6 \cdot 14)=\textcolor{white}{-751{,}8}$$return { ["body"] = 49, ["id"] = "xzdEYL_0726_1752", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = -751.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3759, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-3759}{5}", ["typ"] = "cislo" }, ["tex"] = "-751\\frac{4}{5}", ["tex_float"] = "-751{,}8", ["x"] = -751, ["y"] = 4, ["z"] = 5 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 14", ["typ"] = "krat" }, ["render"] = "-9 \\cdot 6 \\cdot 14", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{5} + (-9 \\cdot 6 \\cdot 14)", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.39, bodu=15, $$11 \cdot 7 \cdot -13 \cdot -4=\textcolor{white}{4004}$$return { ["body"] = 15, ["id"] = "ZSBJ9W_0726_1752", ["obtiznost"] = 0.39, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4004, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4004}{1}", ["typ"] = "cislo" }, ["tex"] = "4004", ["tex_float"] = "4004", ["x"] = 4004 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -4", ["typ"] = "krat" }, ["render"] = "11 \\cdot 7 \\cdot -13 \\cdot -4", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.4, bodu=53, $$6 \cdot (8 - (3\frac{3}{6} - \frac{-8}{-8})^2)=\textcolor{white}{10{,}5}$$return { ["body"] = 53, ["id"] = "rLNhx4_0726_1752", ["obtiznost"] = 0.6116, ["reseni"] = { ["float"] = 10.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 2 }, ["render"] = "\\frac{42}{4}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{1}{2}", ["tex_float"] = "10{,}5", ["x"] = 10, ["y"] = 1, ["z"] = 2 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.4", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["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"] = "3\\frac{3}{6} - \\frac{-8}{-8}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{3}{6} - \\frac{-8}{-8})^2", ["typ"] = "mocnina" }, ["render"] = "8 - (3\\frac{3}{6} - \\frac{-8}{-8})^2", ["typ"] = "minus" }, ["render"] = "(8 - (3\\frac{3}{6} - \\frac{-8}{-8})^2)", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (8 - (3\\frac{3}{6} - \\frac{-8}{-8})^2)", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.41, bodu=54, $$\frac{(-14 + (-9))^2 \cdot 7}{8 - 6}=\textcolor{white}{1851{,}5}$$return { ["body"] = 54, ["id"] = "14M2P8_0726_1752", ["obtiznost"] = 0.622, ["reseni"] = { ["float"] = 1851.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3703, ["jmenovatel"] = 2 }, ["render"] = "\\frac{3703}{2}", ["typ"] = "cislo" }, ["tex"] = "1851\\frac{1}{2}", ["tex_float"] = "1851{,}5", ["x"] = 1851, ["y"] = 1, ["z"] = 2 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-14 + (-9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-14 + (-9))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(-14 + (-9))^2 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 6", ["typ"] = "minus" }, ["render"] = "\\frac{(-14 + (-9))^2 \\cdot 7}{8 - 6}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.42, bodu=53, $$10 \cdot (4\frac{1}{5} - \frac{10 \cdot -6}{12})=\textcolor{white}{92}$$return { ["body"] = 53, ["id"] = "QBvj4p_0726_1752", ["obtiznost"] = 0.62, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 92, ["jmenovatel"] = 1 }, ["render"] = "\\frac{460}{5}", ["typ"] = "cislo" }, ["tex"] = "92", ["x"] = 92 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{10 \\cdot -6}{12}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{5} - \\frac{10 \\cdot -6}{12}", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{5} - \\frac{10 \\cdot -6}{12})", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (4\\frac{1}{5} - \\frac{10 \\cdot -6}{12})", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.43, bodu=78, $$\frac{4\frac{4}{8} - (-9)}{2\frac{4}{8}} - 5 \cdot 16=\textcolor{white}{-74{,}6}$$return { ["body"] = 78, ["id"] = "ZscdXq_0726_1752", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -74.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = -373, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-373}{5}", ["typ"] = "cislo" }, ["tex"] = "-74\\frac{3}{5}", ["tex_float"] = "-74{,}6", ["x"] = -74, ["y"] = 3, ["z"] = 5 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - (-9)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8} - (-9)}{2\\frac{4}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 16", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{4}{8} - (-9)}{2\\frac{4}{8}} - 5 \\cdot 16", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.44, bodu=56, $$(1\frac{2}{6} + 8) \cdot 8 \cdot \frac{16}{8}=\textcolor{white}{149\frac{1}{3}}$$return { ["body"] = 56, ["id"] = "wjxEE2_0726_1752", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = 149.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 448, ["jmenovatel"] = 3 }, ["render"] = "\\frac{448}{3}", ["typ"] = "cislo" }, ["tex"] = "149\\frac{1}{3}", ["x"] = 149, ["y"] = 1, ["z"] = 3 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + 8", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{6} + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{6} + 8) \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{8}", ["typ"] = "lomeno" }, ["render"] = "(1\\frac{2}{6} + 8) \\cdot 8 \\cdot \\frac{16}{8}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.45, bodu=18, $$9 \cdot -12 - 11 \cdot (-15 + (-12))=\textcolor{white}{189}$$return { ["body"] = 18, ["id"] = "MJlBCa_0726_1752", ["obtiznost"] = 0.45, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 189, ["jmenovatel"] = 1 }, ["render"] = "\\frac{189}{1}", ["typ"] = "cislo" }, ["tex"] = "189", ["x"] = 189 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-15 + (-12)", ["typ"] = "plus" }, ["render"] = "(-15 + (-12))", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (-15 + (-12))", ["typ"] = "krat" }, ["render"] = "9 \\cdot -12 - 11 \\cdot (-15 + (-12))", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.46, bodu=108, $$\frac{\frac{9 + 2\frac{2}{6} + 2\frac{5}{10}}{2 + 13}}{4\frac{5}{6}}=\textcolor{white}{\frac{83}{435}}$$return { ["body"] = 108, ["id"] = "fuecG9_0726_1752", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.19080459770115, ["objekt"] = { ["hodnota"] = { ["citatel"] = 83, ["jmenovatel"] = 435 }, ["render"] = "\\frac{498}{2610}", ["typ"] = "cislo" }, ["tex"] = "\\frac{83}{435}", ["y"] = 83, ["z"] = 435 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} + 2\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "9 + 2\\frac{2}{6} + 2\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2 + 13", ["typ"] = "plus" }, ["render"] = "\\frac{9 + 2\\frac{2}{6} + 2\\frac{5}{10}}{2 + 13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{9 + 2\\frac{2}{6} + 2\\frac{5}{10}}{2 + 13}}{4\\frac{5}{6}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.47, bodu=38, $$\frac{-13}{-4} - \frac{-10}{-15 - 12}=\textcolor{white}{2\frac{95}{108}}$$return { ["body"] = 38, ["id"] = "4TL3g0_0726_1752", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 2.8796296296296, ["objekt"] = { ["hodnota"] = { ["citatel"] = 311, ["jmenovatel"] = 108 }, ["render"] = "\\frac{311}{108}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{95}{108}", ["x"] = 2, ["y"] = 95, ["z"] = 108 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.47", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-4}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-15 - 12", ["typ"] = "minus" }, ["render"] = "\\frac{-10}{-15 - 12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{-4} - \\frac{-10}{-15 - 12}", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.48, bodu=84, $$\frac{3\frac{5}{13}}{-13 \cdot -16 \cdot (3\frac{3}{8} + (-13))}=\textcolor{white}{-\frac{2}{1183}}$$return { ["body"] = 84, ["id"] = "ToRIrK_0726_1752", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = -0.0016906170752325, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1183 }, ["render"] = "\\frac{44}{-26026}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{1183}", ["y"] = -2, ["z"] = 1183 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.48", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + (-13)", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{8} + (-13))", ["typ"] = "zavorka" }, ["render"] = "-16 \\cdot (3\\frac{3}{8} + (-13))", ["typ"] = "krat" }, ["render"] = "-13 \\cdot -16 \\cdot (3\\frac{3}{8} + (-13))", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{5}{13}}{-13 \\cdot -16 \\cdot (3\\frac{3}{8} + (-13))}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.49, bodu=40, $$\frac{(-6 - 7) \cdot 5 \cdot 8}{-10}=\textcolor{white}{52}$$return { ["body"] = 40, ["id"] = "jye6vw_0726_1752", ["obtiznost"] = 0.49, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 52, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-520}{-10}", ["typ"] = "cislo" }, ["tex"] = "52", ["tex_float"] = "52", ["x"] = 52 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["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"] = "minus" }, ["render"] = "(-6 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(-6 - 7) \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-6 - 7) \\cdot 5 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{(-6 - 7) \\cdot 5 \\cdot 8}{-10}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.5, bodu=113, $$1\frac{4}{10} \cdot 1\frac{3}{7} \cdot (\frac{2\frac{1}{4}}{-10} - 14)=\textcolor{white}{-28{,}45}$$return { ["body"] = 113, ["id"] = "hvMmKr_0726_1752", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = -28.45, ["objekt"] = { ["hodnota"] = { ["citatel"] = -569, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-3983}{140}", ["typ"] = "cislo" }, ["tex"] = "-28\\frac{9}{20}", ["tex_float"] = "-28{,}45", ["x"] = -28, ["y"] = 9, ["z"] = 20 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.5", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{4}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{4}}{-10} - 14", ["typ"] = "minus" }, ["render"] = "(\\frac{2\\frac{1}{4}}{-10} - 14)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{7} \\cdot (\\frac{2\\frac{1}{4}}{-10} - 14)", ["typ"] = "krat" }, ["render"] = "1\\frac{4}{10} \\cdot 1\\frac{3}{7} \\cdot (\\frac{2\\frac{1}{4}}{-10} - 14)", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.51, bodu=101, $$-11 - ((-13 + 9)^2 + (1\frac{4}{8} + 6)^2) - 3\frac{5}{8}=\textcolor{white}{-86{,}875}$$return { ["body"] = 101, ["id"] = "eZwK1c_0726_1752", ["obtiznost"] = 1.0084, ["reseni"] = { ["float"] = -86.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -695, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-2780}{32}", ["typ"] = "cislo" }, ["tex"] = "-86\\frac{7}{8}", ["tex_float"] = "-86{,}875", ["x"] = -86, ["y"] = 7, ["z"] = 8 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-13 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-13 + 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{4}{8} + 6)^2", ["typ"] = "mocnina" }, ["render"] = "(-13 + 9)^2 + (1\\frac{4}{8} + 6)^2", ["typ"] = "plus" }, ["render"] = "((-13 + 9)^2 + (1\\frac{4}{8} + 6)^2)", ["typ"] = "zavorka" }, ["render"] = "-11 - ((-13 + 9)^2 + (1\\frac{4}{8} + 6)^2)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-11 - ((-13 + 9)^2 + (1\\frac{4}{8} + 6)^2) - 3\\frac{5}{8}", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.52, bodu=65, $$\frac{-6}{4\frac{5}{8}} \cdot 5 + (15 + (-13))^2=\textcolor{white}{-2\frac{18}{37}}$$return { ["body"] = 65, ["id"] = "Pl3L1v_0726_1752", ["obtiznost"] = 0.722, ["reseni"] = { ["float"] = -2.4864864864865, ["objekt"] = { ["hodnota"] = { ["citatel"] = -92, ["jmenovatel"] = 37 }, ["render"] = "\\frac{-92}{37}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{18}{37}", ["x"] = -2, ["y"] = 18, ["z"] = 37 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{4\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{4\\frac{5}{8}} \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "15 + (-13)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(15 + (-13))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-6}{4\\frac{5}{8}} \\cdot 5 + (15 + (-13))^2", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.53, bodu=22, $$(5 + (-4 - (-15))) \cdot (9 - 10 + (-10))=\textcolor{white}{-176}$$return { ["body"] = 22, ["id"] = "Cr2ljc_0726_1752", ["obtiznost"] = 0.53, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -176, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-176}{1}", ["typ"] = "cislo" }, ["tex"] = "-176", ["tex_float"] = "-176", ["x"] = -176 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.53", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-4 - (-15)", ["typ"] = "minus" }, ["render"] = "5 + (-4 - (-15))", ["typ"] = "plus" }, ["render"] = "(5 + (-4 - (-15)))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "9 - 10 + (-10)", ["typ"] = "plus" }, ["render"] = "(9 - 10 + (-10))", ["typ"] = "zavorka" }, ["render"] = "(5 + (-4 - (-15))) \\cdot (9 - 10 + (-10))", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.54, bodu=28, $$16 - (13 + 8 + (-5))^2 \cdot (7 - 9)^3=\textcolor{white}{2064}$$return { ["body"] = 28, ["id"] = "grlC7F_0726_1752", ["obtiznost"] = 0.6464, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2064, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2064}{1}", ["typ"] = "cislo" }, ["tex"] = "2064", ["x"] = 2064 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "13 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "13 + 8 + (-5)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(13 + 8 + (-5))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 - 9", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(7 - 9)^3", ["typ"] = "mocnina" }, ["render"] = "(13 + 8 + (-5))^2 \\cdot (7 - 9)^3", ["typ"] = "krat" }, ["render"] = "16 - (13 + 8 + (-5))^2 \\cdot (7 - 9)^3", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.55, bodu=93, $$10 - 3\frac{1}{5} - (12 + 13 \cdot 2\frac{3}{9})=\textcolor{white}{-35\frac{8}{15}}$$return { ["body"] = 93, ["id"] = "tTooEy_0726_1752", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = -35.533333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -533, ["jmenovatel"] = 15 }, ["render"] = "\\frac{-533}{15}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{8}{15}", ["x"] = -35, ["y"] = 8, ["z"] = 15 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "10 - 3\\frac{1}{5}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "13 \\cdot 2\\frac{3}{9}", ["typ"] = "krat" }, ["render"] = "12 + 13 \\cdot 2\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(12 + 13 \\cdot 2\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "10 - 3\\frac{1}{5} - (12 + 13 \\cdot 2\\frac{3}{9})", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.56, bodu=47, $$\frac{(11 + (-10))^4}{(-6 - (-7))^2} - 13=\textcolor{white}{-12}$$return { ["body"] = 47, ["id"] = "QwCx4J_0726_1752", ["obtiznost"] = 0.5616, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-12}{1}", ["typ"] = "cislo" }, ["tex"] = "-12", ["tex_float"] = "-12", ["x"] = -12 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "11 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(11 + (-10))^4", ["typ"] = "mocnina" }, ["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"] = 2, ["render"] = "(-6 - (-7))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{(11 + (-10))^4}{(-6 - (-7))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{(11 + (-10))^4}{(-6 - (-7))^2} - 13", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.57, bodu=95, $$\frac{\frac{\frac{13}{1\frac{3}{5}}}{-12}}{3\frac{2}{3}}=\textcolor{white}{-\frac{65}{352}}$$return { ["body"] = 95, ["id"] = "eSYm0I_0726_1752", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = -0.18465909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = -65, ["jmenovatel"] = 352 }, ["render"] = "\\frac{-195}{1056}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{65}{352}", ["y"] = -65, ["z"] = 352 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{1\\frac{3}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{13}{1\\frac{3}{5}}}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{13}{1\\frac{3}{5}}}{-12}}{3\\frac{2}{3}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.58, bodu=125, $$2\frac{4}{6} \cdot 1\frac{3}{6} \cdot -12 \cdot 4\frac{2}{7}=\textcolor{white}{-205\frac{5}{7}}$$return { ["body"] = 125, ["id"] = "nsVsmq_0726_1752", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -205.71428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1440, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-1440}{7}", ["typ"] = "cislo" }, ["tex"] = "-205\\frac{5}{7}", ["x"] = -205, ["y"] = 5, ["z"] = 7 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} \\cdot 1\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} \\cdot 1\\frac{3}{6} \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} \\cdot 1\\frac{3}{6} \\cdot -12 \\cdot 4\\frac{2}{7}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.59, bodu=84, $$\frac{\frac{-12}{8}}{(\frac{9}{1\frac{1}{5}})^2}=\textcolor{white}{-\frac{2}{75}}$$return { ["body"] = 84, ["id"] = "rnTjFK_0726_1752", ["obtiznost"] = 0.8816, ["reseni"] = { ["float"] = -0.026666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 75 }, ["render"] = "\\frac{-12}{450}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{75}", ["y"] = -2, ["z"] = 75 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{1\\frac{1}{5}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{1\\frac{1}{5}})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{-12}{8}}{(\\frac{9}{1\\frac{1}{5}})^2}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.6, bodu=100, $$-9 \cdot ((-9 + 13)^2 + 2\frac{3}{10} + 16 + 3\frac{5}{10} \cdot -14)=\textcolor{white}{132{,}3}$$return { ["body"] = 100, ["id"] = "GM5gVF_0726_1752", ["obtiznost"] = 1.0068, ["reseni"] = { ["float"] = 132.3, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1323, ["jmenovatel"] = 10 }, ["render"] = "\\frac{1323}{10}", ["typ"] = "cislo" }, ["tex"] = "132\\frac{3}{10}", ["tex_float"] = "132{,}3", ["x"] = 132, ["y"] = 3, ["z"] = 10 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.6", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-9 + 13", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 13)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} + 16", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{10} \\cdot -14", ["typ"] = "krat" }, ["render"] = "2\\frac{3}{10} + 16 + 3\\frac{5}{10} \\cdot -14", ["typ"] = "plus" }, ["render"] = "(-9 + 13)^2 + 2\\frac{3}{10} + 16 + 3\\frac{5}{10} \\cdot -14", ["typ"] = "plus" }, ["render"] = "((-9 + 13)^2 + 2\\frac{3}{10} + 16 + 3\\frac{5}{10} \\cdot -14)", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot ((-9 + 13)^2 + 2\\frac{3}{10} + 16 + 3\\frac{5}{10} \\cdot -14)", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.61, bodu=27, $$(-10 + (-15 - (-17 + (-10))))^2 \cdot (-6 - (-9))^3=\textcolor{white}{108}$$return { ["body"] = 27, ["id"] = "D8QHKY_0726_1752", ["obtiznost"] = 0.6232, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 108, ["jmenovatel"] = 1 }, ["render"] = "\\frac{108}{1}", ["typ"] = "cislo" }, ["tex"] = "108", ["x"] = 108 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.61", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-17 + (-10)", ["typ"] = "plus" }, ["render"] = "(-17 + (-10))", ["typ"] = "zavorka" }, ["render"] = "-15 - (-17 + (-10))", ["typ"] = "minus" }, ["render"] = "-10 + (-15 - (-17 + (-10)))", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-10 + (-15 - (-17 + (-10))))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-6 - (-9)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-6 - (-9))^3", ["typ"] = "mocnina" }, ["render"] = "(-10 + (-15 - (-17 + (-10))))^2 \\cdot (-6 - (-9))^3", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.62, bodu=77, $$\frac{-12 \cdot 11 \cdot ((-14 + 10)^2 - 2\frac{2}{7})}{-15}=\textcolor{white}{120\frac{24}{35}}$$return { ["body"] = 77, ["id"] = "Rz6Gkg_0726_1752", ["obtiznost"] = 0.8268, ["reseni"] = { ["float"] = 120.68571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4224, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-12672}{-105}", ["typ"] = "cislo" }, ["tex"] = "120\\frac{24}{35}", ["x"] = 120, ["y"] = 24, ["z"] = 35 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-14 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-14 + 10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "(-14 + 10)^2 - 2\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "((-14 + 10)^2 - 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot ((-14 + 10)^2 - 2\\frac{2}{7})", ["typ"] = "krat" }, ["render"] = "-12 \\cdot 11 \\cdot ((-14 + 10)^2 - 2\\frac{2}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 \\cdot 11 \\cdot ((-14 + 10)^2 - 2\\frac{2}{7})}{-15}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.63, bodu=132, $$2\frac{5}{9} + \frac{14}{10 + (-14 - 1\frac{5}{7}) - 1\frac{4}{8}}=\textcolor{white}{\frac{559}{909}}$$return { ["body"] = 132, ["id"] = "NPHjhd_0726_1752", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 0.61496149614961, ["objekt"] = { ["hodnota"] = { ["citatel"] = 559, ["jmenovatel"] = 909 }, ["render"] = "\\frac{559}{909}", ["typ"] = "cislo" }, ["tex"] = "\\frac{559}{909}", ["y"] = 559, ["z"] = 909 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.63", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-14 - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "10 + (-14 - 1\\frac{5}{7})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "10 + (-14 - 1\\frac{5}{7}) - 1\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{14}{10 + (-14 - 1\\frac{5}{7}) - 1\\frac{4}{8}}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{5}{9} + \\frac{14}{10 + (-14 - 1\\frac{5}{7}) - 1\\frac{4}{8}}", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.64, bodu=147, $$20 - ((\frac{7}{-8})^3 \cdot (6 + 3\frac{3}{6})^2 + 17)=\textcolor{white}{63\frac{943}{2048}}$$return { ["body"] = 147, ["id"] = "8Vutmt_0726_1752", ["obtiznost"] = 1.328, ["reseni"] = { ["float"] = 63.46044921875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 129967, ["jmenovatel"] = 2048 }, ["render"] = "\\frac{129967}{2048}", ["typ"] = "cislo" }, ["tex"] = "63\\frac{943}{2048}", ["x"] = 63, ["y"] = 943, ["z"] = 2048 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{-8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{-8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "6 + 3\\frac{3}{6}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + 3\\frac{3}{6})^2", ["typ"] = "mocnina" }, ["render"] = "(\\frac{7}{-8})^3 \\cdot (6 + 3\\frac{3}{6})^2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "(\\frac{7}{-8})^3 \\cdot (6 + 3\\frac{3}{6})^2 + 17", ["typ"] = "plus" }, ["render"] = "((\\frac{7}{-8})^3 \\cdot (6 + 3\\frac{3}{6})^2 + 17)", ["typ"] = "zavorka" }, ["render"] = "20 - ((\\frac{7}{-8})^3 \\cdot (6 + 3\\frac{3}{6})^2 + 17)", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.65, bodu=80, $$(3\frac{4}{8} \cdot -11 + 12 + 8) \cdot -16 \cdot 6=\textcolor{white}{1776}$$return { ["body"] = 80, ["id"] = "xVLBGn_0726_1752", ["obtiznost"] = 0.85, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1776, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3552}{2}", ["typ"] = "cislo" }, ["tex"] = "1776", ["x"] = 1776 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.65", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 + 8", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{8} \\cdot -11 + 12 + 8", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{8} \\cdot -11 + 12 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 6", ["typ"] = "krat" }, ["render"] = "(3\\frac{4}{8} \\cdot -11 + 12 + 8) \\cdot -16 \\cdot 6", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.66, bodu=108, $$\frac{-8}{(-7 + \frac{10}{12 + 4\frac{2}{6}}) \cdot 2\frac{3}{8}}=\textcolor{white}{\frac{3136}{5947}}$$return { ["body"] = 108, ["id"] = "fq2sgh_0726_1752", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.52732470153018, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3136, ["jmenovatel"] = 5947 }, ["render"] = "\\frac{-3136}{-5947}", ["typ"] = "cislo" }, ["tex"] = "\\frac{3136}{5947}", ["y"] = 3136, ["z"] = 5947 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.66", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "12 + 4\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{10}{12 + 4\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "-7 + \\frac{10}{12 + 4\\frac{2}{6}}", ["typ"] = "plus" }, ["render"] = "(-7 + \\frac{10}{12 + 4\\frac{2}{6}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "(-7 + \\frac{10}{12 + 4\\frac{2}{6}}) \\cdot 2\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{-8}{(-7 + \\frac{10}{12 + 4\\frac{2}{6}}) \\cdot 2\\frac{3}{8}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.67, bodu=109, $$1\frac{3}{7} - \frac{8}{-17} - (-9 + (-19 - 2\frac{1}{5}))=\textcolor{white}{32\frac{59}{595}}$$return { ["body"] = 109, ["id"] = "dCVB8T_0726_1752", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 32.099159663866, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19099, ["jmenovatel"] = 595 }, ["render"] = "\\frac{19099}{595}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{59}{595}", ["x"] = 32, ["y"] = 59, ["z"] = 595 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-17}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{3}{7} - \\frac{8}{-17}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-19 - 2\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "-9 + (-19 - 2\\frac{1}{5})", ["typ"] = "plus" }, ["render"] = "(-9 + (-19 - 2\\frac{1}{5}))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{7} - \\frac{8}{-17} - (-9 + (-19 - 2\\frac{1}{5}))", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.68, bodu=60, $$\frac{5}{\frac{10}{-12} + (-10)} \cdot 11=\textcolor{white}{-5\frac{1}{13}}$$return { ["body"] = 60, ["id"] = "fgP6vg_0726_1752", ["obtiznost"] = 0.68, ["reseni"] = { ["float"] = -5.0769230769231, ["objekt"] = { ["hodnota"] = { ["citatel"] = -66, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-66}{13}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{1}{13}", ["x"] = -5, ["y"] = 1, ["z"] = 13 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-12} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{5}{\\frac{10}{-12} + (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{\\frac{10}{-12} + (-10)} \\cdot 11", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.69, bodu=64, $$(\frac{-10 - (-10)}{\frac{(-9 + (6 + (-8))^4)^2}{15}})^3=\textcolor{white}{0}$$return { ["body"] = 64, ["id"] = "9dIXWT_0726_1752", ["obtiznost"] = 0.7172, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.69", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-10 - (-10)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "6 + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(6 + (-8))^4", ["typ"] = "mocnina" }, ["render"] = "-9 + (6 + (-8))^4", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + (6 + (-8))^4)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{(-9 + (6 + (-8))^4)^2}{15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-10 - (-10)}{\\frac{(-9 + (6 + (-8))^4)^2}{15}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-10 - (-10)}{\\frac{(-9 + (6 + (-8))^4)^2}{15}})^3", ["typ"] = "mocnina" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.7, bodu=101, $$\frac{-13}{-16} - (\frac{10 - 2\frac{2}{10}}{6})^2=\textcolor{white}{-\frac{351}{400}}$$return { ["body"] = 101, ["id"] = "KPJhSk_0726_1752", ["obtiznost"] = 1.0076, ["reseni"] = { ["float"] = -0.8775, ["objekt"] = { ["hodnota"] = { ["citatel"] = -351, ["jmenovatel"] = 400 }, ["render"] = "\\frac{-1404}{1600}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{351}{400}", ["y"] = -351, ["z"] = 400 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "10 - 2\\frac{2}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{10 - 2\\frac{2}{10}}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10 - 2\\frac{2}{10}}{6})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-13}{-16} - (\\frac{10 - 2\\frac{2}{10}}{6})^2", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.71, bodu=111, $$2\frac{4}{8} - 15 + \frac{(\frac{9}{-19})^2}{11} - 15=\textcolor{white}{-27\frac{3809}{7942}}$$return { ["body"] = 111, ["id"] = "I6KHIp_0726_1752", ["obtiznost"] = 1.0868, ["reseni"] = { ["float"] = -27.479602115336, ["objekt"] = { ["hodnota"] = { ["citatel"] = -218243, ["jmenovatel"] = 7942 }, ["render"] = "\\frac{-218243}{7942}", ["typ"] = "cislo" }, ["tex"] = "-27\\frac{3809}{7942}", ["x"] = -27, ["y"] = 3809, ["z"] = 7942 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} - 15", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-19}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{-19})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{9}{-19})^2}{11}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{4}{8} - 15 + \\frac{(\\frac{9}{-19})^2}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} - 15 + \\frac{(\\frac{9}{-19})^2}{11} - 15", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.72, bodu=89, $$-5 + 12 + 9 - (-14 + 14 + (-9 + 1\frac{4}{13} + (-4)))=\textcolor{white}{27\frac{9}{13}}$$return { ["body"] = 89, ["id"] = "onN2yA_0726_1752", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 27.692307692308, ["objekt"] = { ["hodnota"] = { ["citatel"] = 360, ["jmenovatel"] = 13 }, ["render"] = "\\frac{360}{13}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{9}{13}", ["x"] = 27, ["y"] = 9, ["z"] = 13 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 + 9", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-14 + 14", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "-9 + 1\\frac{4}{13}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-9 + 1\\frac{4}{13} + (-4)", ["typ"] = "plus" }, ["render"] = "-14 + 14 + (-9 + 1\\frac{4}{13} + (-4))", ["typ"] = "plus" }, ["render"] = "(-14 + 14 + (-9 + 1\\frac{4}{13} + (-4)))", ["typ"] = "zavorka" }, ["render"] = "12 + 9 - (-14 + 14 + (-9 + 1\\frac{4}{13} + (-4)))", ["typ"] = "minus" }, ["render"] = "-5 + 12 + 9 - (-14 + 14 + (-9 + 1\\frac{4}{13} + (-4)))", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.73, bodu=90, $$\frac{4\frac{5}{6} \cdot \frac{10}{16}}{-10 + 9}=\textcolor{white}{-3\frac{1}{48}}$$return { ["body"] = 90, ["id"] = "0ttjdv_0726_1752", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = -3.0208333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -145, ["jmenovatel"] = 48 }, ["render"] = "\\frac{145}{-48}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{1}{48}", ["x"] = -3, ["y"] = 1, ["z"] = 48 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{16}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{5}{6} \\cdot \\frac{10}{16}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-10 + 9", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{5}{6} \\cdot \\frac{10}{16}}{-10 + 9}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.74, bodu=92, $$14 \cdot 10 \cdot \frac{12}{13 \cdot 4\frac{3}{10}}=\textcolor{white}{30\frac{30}{559}}$$return { ["body"] = 92, ["id"] = "9t9n9s_0726_1752", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = 30.05366726297, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16800, ["jmenovatel"] = 559 }, ["render"] = "\\frac{16800}{559}", ["typ"] = "cislo" }, ["tex"] = "30\\frac{30}{559}", ["x"] = 30, ["y"] = 30, ["z"] = 559 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "13 \\cdot 4\\frac{3}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{12}{13 \\cdot 4\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "14 \\cdot 10 \\cdot \\frac{12}{13 \\cdot 4\\frac{3}{10}}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.75, bodu=183, $$(19 + 1\frac{4}{8} - (-19) - (3\frac{1}{8} + 2\frac{5}{6})) \cdot 2\frac{1}{9}=\textcolor{white}{70\frac{175}{216}}$$return { ["body"] = 183, ["id"] = "vsmP74_0726_1752", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 70.810185185185, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15295, ["jmenovatel"] = 216 }, ["render"] = "\\frac{15295}{216}", ["typ"] = "cislo" }, ["tex"] = "70\\frac{175}{216}", ["x"] = 70, ["y"] = 175, ["z"] = 216 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.75", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "19 + 1\\frac{4}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "19 + 1\\frac{4}{8} - (-19)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} + 2\\frac{5}{6}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{8} + 2\\frac{5}{6})", ["typ"] = "zavorka" }, ["render"] = "19 + 1\\frac{4}{8} - (-19) - (3\\frac{1}{8} + 2\\frac{5}{6})", ["typ"] = "minus" }, ["render"] = "(19 + 1\\frac{4}{8} - (-19) - (3\\frac{1}{8} + 2\\frac{5}{6}))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "(19 + 1\\frac{4}{8} - (-19) - (3\\frac{1}{8} + 2\\frac{5}{6})) \\cdot 2\\frac{1}{9}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.76, bodu=185, $$\frac{2\frac{4}{9} \cdot 4\frac{5}{11} \cdot 3\frac{5}{8}}{20 + 4\frac{4}{12}}=\textcolor{white}{1\frac{545}{876}}$$return { ["body"] = 185, ["id"] = "uDEkdT_0726_1752", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 1.6221461187215, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1421, ["jmenovatel"] = 876 }, ["render"] = "\\frac{4263}{2628}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{545}{876}", ["x"] = 1, ["y"] = 545, ["z"] = 876 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} \\cdot 4\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} \\cdot 4\\frac{5}{11} \\cdot 3\\frac{5}{8}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "20 + 4\\frac{4}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{4}{9} \\cdot 4\\frac{5}{11} \\cdot 3\\frac{5}{8}}{20 + 4\\frac{4}{12}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.77, bodu=187, $$\frac{((1\frac{1}{9} - (-11)) \cdot 6 + 4\frac{1}{10} \cdot -18)^2}{4\frac{2}{6}}=\textcolor{white}{\frac{289}{975}}$$return { ["body"] = 187, ["id"] = "uEWYwz_0726_1752", ["obtiznost"] = 1.5756, ["reseni"] = { ["float"] = 0.29641025641026, ["objekt"] = { ["hodnota"] = { ["citatel"] = 289, ["jmenovatel"] = 975 }, ["render"] = "\\frac{867}{2925}", ["typ"] = "cislo" }, ["tex"] = "\\frac{289}{975}", ["y"] = 289, ["z"] = 975 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.77", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} - (-11)", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{9} - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{9} - (-11)) \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{10} \\cdot -18", ["typ"] = "krat" }, ["render"] = "(1\\frac{1}{9} - (-11)) \\cdot 6 + 4\\frac{1}{10} \\cdot -18", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "((1\\frac{1}{9} - (-11)) \\cdot 6 + 4\\frac{1}{10} \\cdot -18)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{((1\\frac{1}{9} - (-11)) \\cdot 6 + 4\\frac{1}{10} \\cdot -18)^2}{4\\frac{2}{6}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.78, bodu=155, $$-16 \cdot -13 \cdot (3\frac{1}{6} \cdot (-13 - 4\frac{3}{4}) + 3\frac{2}{7})=\textcolor{white}{-11007\frac{19}{21}}$$return { ["body"] = 155, ["id"] = "HxW2Vw_0726_1752", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -11007.904761905, ["objekt"] = { ["hodnota"] = { ["citatel"] = -231166, ["jmenovatel"] = 21 }, ["render"] = "\\frac{-1849328}{168}", ["typ"] = "cislo" }, ["tex"] = "-11007\\frac{19}{21}", ["x"] = -11007, ["y"] = 19, ["z"] = 21 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "-13 - 4\\frac{3}{4}", ["typ"] = "minus" }, ["render"] = "(-13 - 4\\frac{3}{4})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{6} \\cdot (-13 - 4\\frac{3}{4})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot (-13 - 4\\frac{3}{4}) + 3\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{6} \\cdot (-13 - 4\\frac{3}{4}) + 3\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "-16 \\cdot -13 \\cdot (3\\frac{1}{6} \\cdot (-13 - 4\\frac{3}{4}) + 3\\frac{2}{7})", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.79, bodu=126, $$1\frac{2}{7} \cdot 13 \cdot (-11 + 2\frac{3}{11} + 10 - (-15))=\textcolor{white}{271\frac{76}{77}}$$return { ["body"] = 126, ["id"] = "6nQQZU_0726_1752", ["obtiznost"] = 1.19, ["reseni"] = { ["float"] = 271.98701298701, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20943, ["jmenovatel"] = 77 }, ["render"] = "\\frac{20943}{77}", ["typ"] = "cislo" }, ["tex"] = "271\\frac{76}{77}", ["x"] = 271, ["y"] = 76, ["z"] = 77 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{3}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "10 - (-15)", ["typ"] = "minus" }, ["render"] = "-11 + 2\\frac{3}{11} + 10 - (-15)", ["typ"] = "plus" }, ["render"] = "(-11 + 2\\frac{3}{11} + 10 - (-15))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{7} \\cdot 13 \\cdot (-11 + 2\\frac{3}{11} + 10 - (-15))", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.8, bodu=100, $$\frac{-16 \cdot (-11 + (-10 \cdot 4\frac{2}{6}))}{-11 - 12}=\textcolor{white}{-37\frac{55}{69}}$$return { ["body"] = 100, ["id"] = "X7w8ql_0726_1752", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -37.797101449275, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2608, ["jmenovatel"] = 69 }, ["render"] = "\\frac{2608}{-69}", ["typ"] = "cislo" }, ["tex"] = "-37\\frac{55}{69}", ["x"] = -37, ["y"] = 55, ["z"] = 69 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 4\\frac{2}{6}", ["typ"] = "krat" }, ["render"] = "-11 + (-10 \\cdot 4\\frac{2}{6})", ["typ"] = "plus" }, ["render"] = "(-11 + (-10 \\cdot 4\\frac{2}{6}))", ["typ"] = "zavorka" }, ["render"] = "-16 \\cdot (-11 + (-10 \\cdot 4\\frac{2}{6}))", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 - 12", ["typ"] = "minus" }, ["render"] = "\\frac{-16 \\cdot (-11 + (-10 \\cdot 4\\frac{2}{6}))}{-11 - 12}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.81, bodu=160, $$18 \cdot \frac{1\frac{4}{10} - \frac{19 - 15}{2\frac{2}{7}}}{4\frac{3}{10}}=\textcolor{white}{-1\frac{20}{43}}$$return { ["body"] = 160, ["id"] = "c3JK5H_0726_1752", ["obtiznost"] = 1.41, ["reseni"] = { ["float"] = -1.4651162790698, ["objekt"] = { ["hodnota"] = { ["citatel"] = -63, ["jmenovatel"] = 43 }, ["render"] = "\\frac{-126}{86}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{20}{43}", ["x"] = -1, ["y"] = 20, ["z"] = 43 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.81", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "19 - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{19 - 15}{2\\frac{2}{7}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{4}{10} - \\frac{19 - 15}{2\\frac{2}{7}}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10} - \\frac{19 - 15}{2\\frac{2}{7}}}{4\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "18 \\cdot \\frac{1\\frac{4}{10} - \\frac{19 - 15}{2\\frac{2}{7}}}{4\\frac{3}{10}}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.82, bodu=131, $$(16 - 1\frac{4}{7}) \cdot \frac{19}{\frac{-11}{3\frac{5}{8}} - (-13)}=\textcolor{white}{27\frac{1030}{2023}}$$return { ["body"] = 131, ["id"] = "JkOI4N_0726_1752", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = 27.509144834404, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55651, ["jmenovatel"] = 2023 }, ["render"] = "\\frac{55651}{2023}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{1030}{2023}", ["x"] = 27, ["y"] = 1030, ["z"] = 2023 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.82", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "16 - 1\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "(16 - 1\\frac{4}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{3\\frac{5}{8}} - (-13)", ["typ"] = "minus" }, ["render"] = "\\frac{19}{\\frac{-11}{3\\frac{5}{8}} - (-13)}", ["typ"] = "lomeno" }, ["render"] = "(16 - 1\\frac{4}{7}) \\cdot \\frac{19}{\\frac{-11}{3\\frac{5}{8}} - (-13)}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.83, bodu=232, $$(\frac{3\frac{5}{11}}{3\frac{5}{7}} - 2\frac{3}{11}) \cdot -13 \cdot 1\frac{2}{8} \cdot 2\frac{3}{10}=\textcolor{white}{50\frac{2}{11}}$$return { ["body"] = 232, ["id"] = "SLqlpP_0726_1752", ["obtiznost"] = 1.83, ["reseni"] = { ["float"] = 50.181818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = 552, ["jmenovatel"] = 11 }, ["render"] = "\\frac{57408}{1144}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{2}{11}", ["x"] = 50, ["y"] = 2, ["z"] = 11 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.83", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{11}}{3\\frac{5}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{11}}{3\\frac{5}{7}} - 2\\frac{3}{11}", ["typ"] = "minus" }, ["render"] = "(\\frac{3\\frac{5}{11}}{3\\frac{5}{7}} - 2\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} \\cdot 2\\frac{3}{10}", ["typ"] = "krat" }, ["render"] = "-13 \\cdot 1\\frac{2}{8} \\cdot 2\\frac{3}{10}", ["typ"] = "krat" }, ["render"] = "(\\frac{3\\frac{5}{11}}{3\\frac{5}{7}} - 2\\frac{3}{11}) \\cdot -13 \\cdot 1\\frac{2}{8} \\cdot 2\\frac{3}{10}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.84, bodu=176, $$2\frac{5}{12} \cdot 3\frac{4}{11} + 18 \cdot 14 + 2\frac{4}{8} + (5 + 8)^2=\textcolor{white}{431\frac{83}{132}}$$return { ["body"] = 176, ["id"] = "5o8kwI_0726_1752", ["obtiznost"] = 1.508, ["reseni"] = { ["float"] = 431.62878787879, ["objekt"] = { ["hodnota"] = { ["citatel"] = 56975, ["jmenovatel"] = 132 }, ["render"] = "\\frac{113950}{264}", ["typ"] = "cislo" }, ["tex"] = "431\\frac{83}{132}", ["x"] = 431, ["y"] = 83, ["z"] = 132 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{12} \\cdot 3\\frac{4}{11}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "18 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(5 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{4}{8} + (5 + 8)^2", ["typ"] = "plus" }, ["render"] = "18 \\cdot 14 + 2\\frac{4}{8} + (5 + 8)^2", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{12} \\cdot 3\\frac{4}{11} + 18 \\cdot 14 + 2\\frac{4}{8} + (5 + 8)^2", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.85, bodu=242, $$\frac{3\frac{1}{8} - (1\frac{4}{12} - 4\frac{2}{6})^4}{-12 \cdot \frac{3\frac{3}{10}}{4\frac{1}{11}}}=\textcolor{white}{8\frac{87}{1936}}$$return { ["body"] = 242, ["id"] = "4dRVZm_0726_1752", ["obtiznost"] = 1.8828, ["reseni"] = { ["float"] = 8.0449380165289, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15575, ["jmenovatel"] = 1936 }, ["render"] = "\\frac{-15575}{-1936}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{87}{1936}", ["x"] = 8, ["y"] = 87, ["z"] = 1936 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{12} - 4\\frac{2}{6}", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(1\\frac{4}{12} - 4\\frac{2}{6})^4", ["typ"] = "mocnina" }, ["render"] = "3\\frac{1}{8} - (1\\frac{4}{12} - 4\\frac{2}{6})^4", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{1}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{10}}{4\\frac{1}{11}}", ["typ"] = "lomeno" }, ["render"] = "-12 \\cdot \\frac{3\\frac{3}{10}}{4\\frac{1}{11}}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{1}{8} - (1\\frac{4}{12} - 4\\frac{2}{6})^4}{-12 \\cdot \\frac{3\\frac{3}{10}}{4\\frac{1}{11}}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.86, bodu=238, $$\frac{2\frac{1}{11} + 1\frac{3}{8} + 2\frac{3}{9} + 2\frac{4}{9} - (-12)}{3\frac{1}{8} \cdot (11 + 19)}=\textcolor{white}{\frac{16033}{74250}}$$return { ["body"] = 238, ["id"] = "HhDWRf_0726_1752", ["obtiznost"] = 1.86, ["reseni"] = { ["float"] = 0.21593265993266, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16033, ["jmenovatel"] = 74250 }, ["render"] = "\\frac{64132}{297000}", ["typ"] = "cislo" }, ["tex"] = "\\frac{16033}{74250}", ["y"] = 16033, ["z"] = 74250 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{11} + 1\\frac{3}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{11} + 1\\frac{3}{8} + 2\\frac{3}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} - (-12)", ["typ"] = "minus" }, ["render"] = "2\\frac{1}{11} + 1\\frac{3}{8} + 2\\frac{3}{9} + 2\\frac{4}{9} - (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "11 + 19", ["typ"] = "plus" }, ["render"] = "(11 + 19)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{8} \\cdot (11 + 19)", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{1}{11} + 1\\frac{3}{8} + 2\\frac{3}{9} + 2\\frac{4}{9} - (-12)}{3\\frac{1}{8} \\cdot (11 + 19)}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.87, bodu=170, $$\frac{13 - (-11 \cdot (4\frac{3}{11} + 17))}{6 + 3\frac{3}{13}} + 2\frac{2}{7}=\textcolor{white}{29\frac{37}{840}}$$return { ["body"] = 170, ["id"] = "AKHdht_0726_1752", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = 29.044047619048, ["objekt"] = { ["hodnota"] = { ["citatel"] = 24397, ["jmenovatel"] = 840 }, ["render"] = "\\frac{24397}{840}", ["typ"] = "cislo" }, ["tex"] = "29\\frac{37}{840}", ["x"] = 29, ["y"] = 37, ["z"] = 840 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{11} + 17", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{11} + 17)", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (4\\frac{3}{11} + 17)", ["typ"] = "krat" }, ["render"] = "13 - (-11 \\cdot (4\\frac{3}{11} + 17))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "6 + 3\\frac{3}{13}", ["typ"] = "plus" }, ["render"] = "\\frac{13 - (-11 \\cdot (4\\frac{3}{11} + 17))}{6 + 3\\frac{3}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{13 - (-11 \\cdot (4\\frac{3}{11} + 17))}{6 + 3\\frac{3}{13}} + 2\\frac{2}{7}", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.88, bodu=241, $$\frac{3\frac{4}{13} \cdot 4\frac{4}{7}}{\frac{1\frac{3}{9}}{4\frac{3}{14}}} \cdot 4\frac{5}{11}=\textcolor{white}{212\frac{128}{143}}$$return { ["body"] = 241, ["id"] = "62lEmb_0726_1752", ["obtiznost"] = 1.88, ["reseni"] = { ["float"] = 212.8951048951, ["objekt"] = { ["hodnota"] = { ["citatel"] = 30444, ["jmenovatel"] = 143 }, ["render"] = "\\frac{1491756}{7007}", ["typ"] = "cislo" }, ["tex"] = "212\\frac{128}{143}", ["x"] = 212, ["y"] = 128, ["z"] = 143 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{13} \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 59, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{3}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{4\\frac{3}{14}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{4}{13} \\cdot 4\\frac{4}{7}}{\\frac{1\\frac{3}{9}}{4\\frac{3}{14}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{13} \\cdot 4\\frac{4}{7}}{\\frac{1\\frac{3}{9}}{4\\frac{3}{14}}} \\cdot 4\\frac{5}{11}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.89, bodu=243, $$(-6 \cdot 17 + 1\frac{1}{6} + 2\frac{4}{12} + (-10)) \cdot (3\frac{1}{8} + 3\frac{2}{7} + 1\frac{1}{8})=\textcolor{white}{-817{,}625}$$return { ["body"] = 243, ["id"] = "SqYJxb_0726_1752", ["obtiznost"] = 1.89, ["reseni"] = { ["float"] = -817.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6541, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-45787}{56}", ["typ"] = "cislo" }, ["tex"] = "-817\\frac{5}{8}", ["tex_float"] = "-817{,}625", ["x"] = -817, ["y"] = 5, ["z"] = 8 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.89", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 17 + 1\\frac{1}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 17 + 1\\frac{1}{6} + 2\\frac{4}{12}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 17 + 1\\frac{1}{6} + 2\\frac{4}{12} + (-10)", ["typ"] = "plus" }, ["render"] = "(-6 \\cdot 17 + 1\\frac{1}{6} + 2\\frac{4}{12} + (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{7} + 1\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "3\\frac{1}{8} + 3\\frac{2}{7} + 1\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{8} + 3\\frac{2}{7} + 1\\frac{1}{8})", ["typ"] = "zavorka" }, ["render"] = "(-6 \\cdot 17 + 1\\frac{1}{6} + 2\\frac{4}{12} + (-10)) \\cdot (3\\frac{1}{8} + 3\\frac{2}{7} + 1\\frac{1}{8})", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.9, bodu=144, $$\frac{(13 - 9)^2}{9} \cdot 4\frac{2}{8} \cdot (16 + 2\frac{4}{8})=\textcolor{white}{139\frac{7}{9}}$$return { ["body"] = 144, ["id"] = "2Xa3UK_0726_1752", ["obtiznost"] = 1.3068, ["reseni"] = { ["float"] = 139.77777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1258, ["jmenovatel"] = 9 }, ["render"] = "\\frac{10064}{72}", ["typ"] = "cislo" }, ["tex"] = "139\\frac{7}{9}", ["x"] = 139, ["y"] = 7, ["z"] = 9 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{(13 - 9)^2}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "16 + 2\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(16 + 2\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{2}{8} \\cdot (16 + 2\\frac{4}{8})", ["typ"] = "krat" }, ["render"] = "\\frac{(13 - 9)^2}{9} \\cdot 4\\frac{2}{8} \\cdot (16 + 2\\frac{4}{8})", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.91, bodu=145, $$\frac{4\frac{3}{14} \cdot -17 \cdot 2\frac{1}{6}}{(\frac{(-9 - (-9))^3}{18})^4 + 1}=\textcolor{white}{-155\frac{19}{84}}$$return { ["body"] = 145, ["id"] = "KxdHCy_0726_1752", ["obtiznost"] = 1.3108, ["reseni"] = { ["float"] = -155.22619047619, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13039, ["jmenovatel"] = 84 }, ["render"] = "\\frac{-13039}{84}", ["typ"] = "cislo" }, ["tex"] = "-155\\frac{19}{84}", ["x"] = -155, ["y"] = 19, ["z"] = 84 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 59, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{14} \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{14} \\cdot -17 \\cdot 2\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(-9 - (-9))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{(-9 - (-9))^3}{18}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{(-9 - (-9))^3}{18})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "1", ["typ"] = "cislo" }, ["render"] = "(\\frac{(-9 - (-9))^3}{18})^4 + 1", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{3}{14} \\cdot -17 \\cdot 2\\frac{1}{6}}{(\\frac{(-9 - (-9))^3}{18})^4 + 1}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.92, bodu=178, $$\frac{4\frac{1}{11}}{2\frac{4}{11} - 18} \cdot \frac{-15 - 2\frac{1}{2}}{-8}=\textcolor{white}{-\frac{1575}{2752}}$$return { ["body"] = 178, ["id"] = "TyNQX5_0726_1752", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = -0.57231104651163, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1575, ["jmenovatel"] = 2752 }, ["render"] = "\\frac{-1575}{2752}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1575}{2752}", ["y"] = -1575, ["z"] = 2752 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{11} - 18", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{1}{11}}{2\\frac{4}{11} - 18}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "-15 - 2\\frac{1}{2}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 - 2\\frac{1}{2}}{-8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{1}{11}}{2\\frac{4}{11} - 18} \\cdot \\frac{-15 - 2\\frac{1}{2}}{-8}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.93, bodu=180, $$\frac{\frac{(-16 - (-13))^2 + 18}{1\frac{1}{9}} \cdot 4\frac{5}{7}}{3\frac{3}{10}}=\textcolor{white}{34\frac{5}{7}}$$return { ["body"] = 180, ["id"] = "zVRpUy_0726_1752", ["obtiznost"] = 1.534, ["reseni"] = { ["float"] = 34.714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 243, ["jmenovatel"] = 7 }, ["render"] = "\\frac{80190}{2310}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{5}{7}", ["x"] = 34, ["y"] = 5, ["z"] = 7 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-16 - (-13)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-16 - (-13))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "(-16 - (-13))^2 + 18", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-16 - (-13))^2 + 18}{1\\frac{1}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-16 - (-13))^2 + 18}{1\\frac{1}{9}} \\cdot 4\\frac{5}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{(-16 - (-13))^2 + 18}{1\\frac{1}{9}} \\cdot 4\\frac{5}{7}}{3\\frac{3}{10}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.94, bodu=294, $$(1\frac{1}{8} - (-6 + \frac{2\frac{4}{7}}{2\frac{2}{9}} \cdot 4\frac{4}{6})^2) \cdot (4\frac{1}{10} + 1\frac{2}{12})=\textcolor{white}{4{,}029}$$return { ["body"] = 294, ["id"] = "MdQ1Uc_0726_1752", ["obtiznost"] = 2.1536, ["reseni"] = { ["float"] = 4.029, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4029, ["jmenovatel"] = 1000 }, ["render"] = "\\frac{12087}{3000}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{29}{1000}", ["tex_float"] = "4{,}029", ["x"] = 4, ["y"] = 29, ["z"] = 1000 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.94", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{2\\frac{2}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6}", ["typ"] = "krat" }, ["render"] = "-6 + \\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 + \\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6})^2", ["typ"] = "mocnina" }, ["render"] = "1\\frac{1}{8} - (-6 + \\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6})^2", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{8} - (-6 + \\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{2}{12}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{10} + 1\\frac{2}{12}", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{10} + 1\\frac{2}{12})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{1}{8} - (-6 + \\frac{2\\frac{4}{7}}{2\\frac{2}{9}} \\cdot 4\\frac{4}{6})^2) \\cdot (4\\frac{1}{10} + 1\\frac{2}{12})", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.95, bodu=183, $$3\frac{3}{8} \cdot \frac{1\frac{5}{12} - 3\frac{3}{11}}{-9 - (-10 + 12)}=\textcolor{white}{\frac{2205}{3872}}$$return { ["body"] = 183, ["id"] = "NxaeAr_0726_1752", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 0.56947314049587, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2205, ["jmenovatel"] = 3872 }, ["render"] = "\\frac{6615}{11616}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2205}{3872}", ["y"] = 2205, ["z"] = 3872 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.95", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{12} - 3\\frac{3}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-10 + 12", ["typ"] = "plus" }, ["render"] = "(-10 + 12)", ["typ"] = "zavorka" }, ["render"] = "-9 - (-10 + 12)", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{5}{12} - 3\\frac{3}{11}}{-9 - (-10 + 12)}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{8} \\cdot \\frac{1\\frac{5}{12} - 3\\frac{3}{11}}{-9 - (-10 + 12)}", ["typ"] = "krat" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.96, bodu=185, $$\frac{-12 - (-14 - 3\frac{1}{5} \cdot 1\frac{5}{13})}{2\frac{3}{11}} + 20=\textcolor{white}{22\frac{1348}{1625}}$$return { ["body"] = 185, ["id"] = "QAVNM4_0726_1752", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 22.829538461538, ["objekt"] = { ["hodnota"] = { ["citatel"] = 37098, ["jmenovatel"] = 1625 }, ["render"] = "\\frac{37098}{1625}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{1348}{1625}", ["x"] = 22, ["y"] = 1348, ["z"] = 1625 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 1\\frac{5}{13}", ["typ"] = "krat" }, ["render"] = "-14 - 3\\frac{1}{5} \\cdot 1\\frac{5}{13}", ["typ"] = "minus" }, ["render"] = "(-14 - 3\\frac{1}{5} \\cdot 1\\frac{5}{13})", ["typ"] = "zavorka" }, ["render"] = "-12 - (-14 - 3\\frac{1}{5} \\cdot 1\\frac{5}{13})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 - (-14 - 3\\frac{1}{5} \\cdot 1\\frac{5}{13})}{2\\frac{3}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 - (-14 - 3\\frac{1}{5} \\cdot 1\\frac{5}{13})}{2\\frac{3}{11}} + 20", ["typ"] = "plus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.97, bodu=221, $$1\frac{5}{7} - (1\frac{1}{11} + 2\frac{2}{8} + (-3) + \frac{15 - 1\frac{5}{13}}{-15})=\textcolor{white}{2\frac{5627}{20020}}$$return { ["body"] = 221, ["id"] = "pinNr9_0726_1752", ["obtiznost"] = 1.77, ["reseni"] = { ["float"] = 2.2810689310689, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45667, ["jmenovatel"] = 20020 }, ["render"] = "\\frac{45667}{20020}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{5627}{20020}", ["x"] = 2, ["y"] = 5627, ["z"] = 20020 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{11} + 2\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{11} + 2\\frac{2}{8} + (-3)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "15 - 1\\frac{5}{13}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{15 - 1\\frac{5}{13}}{-15}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{11} + 2\\frac{2}{8} + (-3) + \\frac{15 - 1\\frac{5}{13}}{-15}", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{11} + 2\\frac{2}{8} + (-3) + \\frac{15 - 1\\frac{5}{13}}{-15})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{7} - (1\\frac{1}{11} + 2\\frac{2}{8} + (-3) + \\frac{15 - 1\\frac{5}{13}}{-15})", ["typ"] = "minus" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.98, bodu=156, $$\frac{\frac{1\frac{5}{10}}{-14} - 1\frac{5}{12}}{\frac{-16}{(\frac{-6}{12})^3}}=\textcolor{white}{-\frac{1}{84}}$$return { ["body"] = 156, ["id"] = "DrTgB5_0726_1752", ["obtiznost"] = 1.3836, ["reseni"] = { ["float"] = -0.011904761904762, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 84 }, ["render"] = "\\frac{-32}{2688}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{84}", ["y"] = -1, ["z"] = 84 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{10}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{10}}{-14} - 1\\frac{5}{12}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{12}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-6}{12})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{-16}{(\\frac{-6}{12})^3}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{1\\frac{5}{10}}{-14} - 1\\frac{5}{12}}{\\frac{-16}{(\\frac{-6}{12})^3}}", ["typ"] = "lomeno" } }

seed: YEtYdeLepMYiLH1v5GQ2_0.99, bodu=157, $$\frac{2\frac{1}{6} - (-11)}{12 \cdot -11 - (-10)} \cdot 3\frac{3}{5}=\textcolor{white}{-\frac{237}{610}}$$return { ["body"] = 157, ["id"] = "UcyUZe_0726_1752", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -0.38852459016393, ["objekt"] = { ["hodnota"] = { ["citatel"] = -237, ["jmenovatel"] = 610 }, ["render"] = "\\frac{-1422}{3660}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{237}{610}", ["y"] = -237, ["z"] = 610 }, ["seed"] = "YEtYdeLepMYiLH1v5GQ2_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "12 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "12 \\cdot -11 - (-10)", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{6} - (-11)}{12 \\cdot -11 - (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6} - (-11)}{12 \\cdot -11 - (-10)} \\cdot 3\\frac{3}{5}", ["typ"] = "krat" } }

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