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Nahodny test, priklady s rostouci obtiznosti...

seed: 0VEWk7nn7zWNtta5XfGn_0, bodu=5, $$(6 + 5 - 9 + (-6))^3 + 3=\textcolor{white}{-61}$$return { ["body"] = 5, ["id"] = "Q9pRtd_1020_0901", ["obtiznost"] = 0.026, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -61, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-61}{1}", ["typ"] = "cislo" }, ["tex"] = "-61", ["x"] = -61 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 - 9", ["typ"] = "minus" }, ["render"] = "6 + 5 - 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "6 + 5 - 9 + (-6)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(6 + 5 - 9 + (-6))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(6 + 5 - 9 + (-6))^3 + 3", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.01, bodu=10, $$\frac{3 + 5 - 8}{4}=\textcolor{white}{0}$$return { ["body"] = 10, ["id"] = "zF5lCi_1020_0901", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{4}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 - 8", ["typ"] = "minus" }, ["render"] = "3 + 5 - 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{3 + 5 - 8}{4}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.02, bodu=10, $$(3 - 6) \cdot (4 \cdot 6)^2=\textcolor{white}{-1728}$$return { ["body"] = 10, ["id"] = "8wHvNr_1020_0901", ["obtiznost"] = 0.2508, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1728, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1728}{1}", ["typ"] = "cislo" }, ["tex"] = "-1728", ["x"] = -1728 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.02", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3 - 6", ["typ"] = "minus" }, ["render"] = "(3 - 6)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 6", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(4 \\cdot 6)^2", ["typ"] = "mocnina" }, ["render"] = "(3 - 6) \\cdot (4 \\cdot 6)^2", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.03, bodu=10, $$\frac{(5 - 7)^4}{4} - 6=\textcolor{white}{-2}$$return { ["body"] = 10, ["id"] = "ZsNF4e_1020_0901", ["obtiznost"] = 0.0368, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-2}{1}", ["typ"] = "cislo" }, ["tex"] = "-2", ["tex_float"] = "-2", ["x"] = -2 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 - 7", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(5 - 7)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{(5 - 7)^4}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{(5 - 7)^4}{4} - 6", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.04, bodu=20, $$\frac{8}{10 - (1\frac{5}{6} + 10 + 6)}=\textcolor{white}{-1\frac{1}{47}}$$return { ["body"] = 20, ["id"] = "AAeKvi_1020_0901", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = -1.0212765957447, ["objekt"] = { ["hodnota"] = { ["citatel"] = -48, ["jmenovatel"] = 47 }, ["render"] = "\\frac{48}{-47}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{1}{47}", ["x"] = -1, ["y"] = 1, ["z"] = 47 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} + 10 + 6", ["typ"] = "plus" }, ["render"] = "(1\\frac{5}{6} + 10 + 6)", ["typ"] = "zavorka" }, ["render"] = "10 - (1\\frac{5}{6} + 10 + 6)", ["typ"] = "minus" }, ["render"] = "\\frac{8}{10 - (1\\frac{5}{6} + 10 + 6)}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.05, bodu=5, $$6 - 4 \cdot 5 - 3=\textcolor{white}{-17}$$return { ["body"] = 5, ["id"] = "v4YBnI_1020_0901", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-17}{1}", ["typ"] = "cislo" }, ["tex"] = "-17", ["x"] = -17 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 5", ["typ"] = "krat" }, ["render"] = "6 - 4 \\cdot 5", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "6 - 4 \\cdot 5 - 3", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.06, bodu=5, $$5 + 5 + 3 + 9 - 9=\textcolor{white}{13}$$return { ["body"] = 5, ["id"] = "QNmub2_1020_0901", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "\\frac{13}{1}", ["typ"] = "cislo" }, ["tex"] = "13", ["tex_float"] = "13", ["x"] = 13 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "5 + 3", ["typ"] = "plus" }, ["render"] = "5 + 5 + 3", ["typ"] = "plus" }, ["c2"] = { ["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" }, ["render"] = "5 + 5 + 3 + 9 - 9", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.07, bodu=5, $$4 + (-6 \cdot (5 + 6))=\textcolor{white}{-62}$$return { ["body"] = 5, ["id"] = "UnOvn7_1020_0901", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -62, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-62}{1}", ["typ"] = "cislo" }, ["tex"] = "-62", ["tex_float"] = "-62", ["x"] = -62 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 + 6", ["typ"] = "plus" }, ["render"] = "(5 + 6)", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot (5 + 6)", ["typ"] = "krat" }, ["render"] = "4 + (-6 \\cdot (5 + 6))", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.08, bodu=6, $$7 \cdot -7 \cdot -9=\textcolor{white}{441}$$return { ["body"] = 6, ["id"] = "69GaXk_1020_0901", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 441, ["jmenovatel"] = 1 }, ["render"] = "\\frac{441}{1}", ["typ"] = "cislo" }, ["tex"] = "441", ["tex_float"] = "441", ["x"] = 441 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -7 \\cdot -9", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.09, bodu=6, $$(7 - (-7) + 7) \cdot (-3 + 9)^2=\textcolor{white}{756}$$return { ["body"] = 6, ["id"] = "fYhEeq_1020_0901", ["obtiznost"] = 0.1048, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 756, ["jmenovatel"] = 1 }, ["render"] = "\\frac{756}{1}", ["typ"] = "cislo" }, ["tex"] = "756", ["x"] = 756 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.09", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 - (-7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - (-7) + 7", ["typ"] = "plus" }, ["render"] = "(7 - (-7) + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-3 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-3 + 9)^2", ["typ"] = "mocnina" }, ["render"] = "(7 - (-7) + 7) \\cdot (-3 + 9)^2", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.1, bodu=6, $$(6 - 6)^2 - 7 \cdot 9=\textcolor{white}{-63}$$return { ["body"] = 6, ["id"] = "eXHAAY_1020_0901", ["obtiznost"] = 0.1004, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -63, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-63}{1}", ["typ"] = "cislo" }, ["tex"] = "-63", ["x"] = -63 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.1", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(6 - 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 9", ["typ"] = "krat" }, ["render"] = "(6 - 6)^2 - 7 \\cdot 9", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.11, bodu=6, $$6 - (-7 - (11 + 7))=\textcolor{white}{31}$$return { ["body"] = 6, ["id"] = "OEy7LU_1020_0901", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 1 }, ["render"] = "\\frac{31}{1}", ["typ"] = "cislo" }, ["tex"] = "31", ["tex_float"] = "31", ["x"] = 31 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "11 + 7", ["typ"] = "plus" }, ["render"] = "(11 + 7)", ["typ"] = "zavorka" }, ["render"] = "-7 - (11 + 7)", ["typ"] = "minus" }, ["render"] = "(-7 - (11 + 7))", ["typ"] = "zavorka" }, ["render"] = "6 - (-7 - (11 + 7))", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.12, bodu=13, $$\frac{\frac{11}{-8}}{2}=\textcolor{white}{-\frac{11}{16}}$$return { ["body"] = 13, ["id"] = "kZT1cs_1020_0901", ["obtiznost"] = 0.12, ["reseni"] = { ["float"] = -0.6875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-11}{16}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{16}", ["y"] = -11, ["z"] = 16 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{11}{-8}}{2}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.13, bodu=7, $$7 - (9 - (-8 + (-5)))=\textcolor{white}{-15}$$return { ["body"] = 7, ["id"] = "Pn7A9x_1020_0901", ["obtiznost"] = 0.13, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-15}{1}", ["typ"] = "cislo" }, ["tex"] = "-15", ["x"] = -15 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-8 + (-5)", ["typ"] = "plus" }, ["render"] = "(-8 + (-5))", ["typ"] = "zavorka" }, ["render"] = "9 - (-8 + (-5))", ["typ"] = "minus" }, ["render"] = "(9 - (-8 + (-5)))", ["typ"] = "zavorka" }, ["render"] = "7 - (9 - (-8 + (-5)))", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.14, bodu=7, $$9 - (6 - (-3 + 7)^2)=\textcolor{white}{19}$$return { ["body"] = 7, ["id"] = "9A4bXr_1020_0901", ["obtiznost"] = 0.1468, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "\\frac{19}{1}", ["typ"] = "cislo" }, ["tex"] = "19", ["x"] = 19 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-3 + 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-3 + 7)^2", ["typ"] = "mocnina" }, ["render"] = "6 - (-3 + 7)^2", ["typ"] = "minus" }, ["render"] = "(6 - (-3 + 7)^2)", ["typ"] = "zavorka" }, ["render"] = "9 - (6 - (-3 + 7)^2)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.15, bodu=7, $$8 - 3 \cdot 10 - (-5)=\textcolor{white}{-17}$$return { ["body"] = 7, ["id"] = "p1xAO4_1020_0901", ["obtiznost"] = 0.15, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-17}{1}", ["typ"] = "cislo" }, ["tex"] = "-17", ["x"] = -17 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 10", ["typ"] = "krat" }, ["render"] = "8 - 3 \\cdot 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "8 - 3 \\cdot 10 - (-5)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.16, bodu=29, $$(-6 + 2\frac{2}{4} + 12) \cdot 6=\textcolor{white}{51}$$return { ["body"] = 29, ["id"] = "H8kawU_1020_0901", ["obtiznost"] = 0.36, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 51, ["jmenovatel"] = 1 }, ["render"] = "\\frac{102}{2}", ["typ"] = "cislo" }, ["tex"] = "51", ["x"] = 51 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.16", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{4} + 12", ["typ"] = "plus" }, ["render"] = "-6 + 2\\frac{2}{4} + 12", ["typ"] = "plus" }, ["render"] = "(-6 + 2\\frac{2}{4} + 12)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(-6 + 2\\frac{2}{4} + 12) \\cdot 6", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.17, bodu=16, $$(\frac{4}{7 + (-9)})^4 \cdot 4=\textcolor{white}{64}$$return { ["body"] = 16, ["id"] = "sTMsKm_1020_0901", ["obtiznost"] = 0.1768, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 1 }, ["render"] = "\\frac{64}{1}", ["typ"] = "cislo" }, ["tex"] = "64", ["x"] = 64 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.17", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "7 + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{4}{7 + (-9)}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{4}{7 + (-9)})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{7 + (-9)})^4 \\cdot 4", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.18, bodu=12, $$(-6 - 11)^2 - (-12) - 8=\textcolor{white}{293}$$return { ["body"] = 12, ["id"] = "8sRH7T_1020_0901", ["obtiznost"] = 0.296, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 293, ["jmenovatel"] = 1 }, ["render"] = "\\frac{293}{1}", ["typ"] = "cislo" }, ["tex"] = "293", ["x"] = 293 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-6 - 11", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-6 - 11)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(-6 - 11)^2 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-6 - 11)^2 - (-12) - 8", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.19, bodu=50, $$1\frac{2}{5} + 2\frac{4}{8} - \frac{-3}{7}=\textcolor{white}{4\frac{23}{70}}$$return { ["body"] = 50, ["id"] = "Q4YwtX_1020_0901", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = 4.3285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 303, ["jmenovatel"] = 70 }, ["render"] = "\\frac{303}{70}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{23}{70}", ["x"] = 4, ["y"] = 23, ["z"] = 70 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} + 2\\frac{4}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{7}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{5} + 2\\frac{4}{8} - \\frac{-3}{7}", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.2, bodu=18, $$\frac{-7}{(8 + 9) \cdot 8}=\textcolor{white}{-\frac{7}{136}}$$return { ["body"] = 18, ["id"] = "Nqol7q_1020_0901", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = -0.051470588235294, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 136 }, ["render"] = "\\frac{-7}{136}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{136}", ["y"] = -7, ["z"] = 136 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 + 9", ["typ"] = "plus" }, ["render"] = "(8 + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(8 + 9) \\cdot 8", ["typ"] = "krat" }, ["render"] = "\\frac{-7}{(8 + 9) \\cdot 8}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.21, bodu=20, $$(\frac{7 + (-9)}{9})^2 \cdot 10=\textcolor{white}{\frac{40}{81}}$$return { ["body"] = 20, ["id"] = "wcYLv0_1020_0901", ["obtiznost"] = 0.244, ["reseni"] = { ["float"] = 0.49382716049383, ["objekt"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 81 }, ["render"] = "\\frac{40}{81}", ["typ"] = "cislo" }, ["tex"] = "\\frac{40}{81}", ["y"] = 40, ["z"] = 81 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.21", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "7 + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7 + (-9)}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7 + (-9)}{9})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(\\frac{7 + (-9)}{9})^2 \\cdot 10", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.22, bodu=29, $$\frac{\frac{-5}{-6}}{(8 + 11)^2 - 7}=\textcolor{white}{\frac{5}{2124}}$$return { ["body"] = 29, ["id"] = "ZTMiyM_1020_0901", ["obtiznost"] = 0.3648, ["reseni"] = { ["float"] = 0.0023540489642185, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2124 }, ["render"] = "\\frac{5}{2124}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5}{2124}", ["y"] = 5, ["z"] = 2124 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "8 + 11", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 + 11)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(8 + 11)^2 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-5}{-6}}{(8 + 11)^2 - 7}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.23, bodu=9, $$13 - 6 \cdot 9 \cdot -10=\textcolor{white}{553}$$return { ["body"] = 9, ["id"] = "X7KwAX_1020_0901", ["obtiznost"] = 0.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 553, ["jmenovatel"] = 1 }, ["render"] = "\\frac{553}{1}", ["typ"] = "cislo" }, ["tex"] = "553", ["x"] = 553 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 9 \\cdot -10", ["typ"] = "krat" }, ["render"] = "13 - 6 \\cdot 9 \\cdot -10", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.24, bodu=20, $$\frac{-3}{11 \cdot 5 - (-12)}=\textcolor{white}{-\frac{3}{67}}$$return { ["body"] = 20, ["id"] = "Rjnoh4_1020_0901", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = -0.044776119402985, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 67 }, ["render"] = "\\frac{-3}{67}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{67}", ["y"] = -3, ["z"] = 67 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 5 - (-12)", ["typ"] = "minus" }, ["render"] = "\\frac{-3}{11 \\cdot 5 - (-12)}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.25, bodu=21, $$\frac{9}{10} - (-10) - (-9)=\textcolor{white}{19{,}9}$$return { ["body"] = 21, ["id"] = "EOFMYl_1020_0901", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = 19.9, ["objekt"] = { ["hodnota"] = { ["citatel"] = 199, ["jmenovatel"] = 10 }, ["render"] = "\\frac{199}{10}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{9}{10}", ["tex_float"] = "19{,}9", ["x"] = 19, ["y"] = 9, ["z"] = 10 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.25", ["zadani"] = { ["c1"] = { ["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"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10} - (-10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10} - (-10) - (-9)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.26, bodu=21, $$(-7 - \frac{13}{8}) \cdot 3=\textcolor{white}{-25{,}875}$$return { ["body"] = 21, ["id"] = "5rDdFa_1020_0901", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = -25.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -207, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-207}{8}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{7}{8}", ["tex_float"] = "-25{,}875", ["x"] = -25, ["y"] = 7, ["z"] = 8 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.26", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{8}", ["typ"] = "lomeno" }, ["render"] = "-7 - \\frac{13}{8}", ["typ"] = "minus" }, ["render"] = "(-7 - \\frac{13}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(-7 - \\frac{13}{8}) \\cdot 3", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.27, bodu=11, $$10 \cdot (9 + (-10) + (2 + 4)^2)=\textcolor{white}{350}$$return { ["body"] = 11, ["id"] = "bE01u3_1020_0901", ["obtiznost"] = 0.2848, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 350, ["jmenovatel"] = 1 }, ["render"] = "\\frac{350}{1}", ["typ"] = "cislo" }, ["tex"] = "350", ["x"] = 350 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["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"] = "9 + (-10)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "2 + 4", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(2 + 4)^2", ["typ"] = "mocnina" }, ["render"] = "9 + (-10) + (2 + 4)^2", ["typ"] = "plus" }, ["render"] = "(9 + (-10) + (2 + 4)^2)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (9 + (-10) + (2 + 4)^2)", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.28, bodu=11, $$10 - 8 \cdot (8 - (-8))=\textcolor{white}{-118}$$return { ["body"] = 11, ["id"] = "CaFFlE_1020_0901", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -118, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-118}{1}", ["typ"] = "cislo" }, ["tex"] = "-118", ["x"] = -118 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 - (-8)", ["typ"] = "minus" }, ["render"] = "(8 - (-8))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (8 - (-8))", ["typ"] = "krat" }, ["render"] = "10 - 8 \\cdot (8 - (-8))", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.29, bodu=12, $$9 - 10 - (-12) - (5 + 5)=\textcolor{white}{1}$$return { ["body"] = 12, ["id"] = "0tvw3A_1020_0901", ["obtiznost"] = 0.29, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1}{1}", ["typ"] = "cislo" }, ["tex"] = "1", ["tex_float"] = "1", ["x"] = 1 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.29", ["zadani"] = { ["c1"] = { ["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"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "9 - 10 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "5 + 5", ["typ"] = "plus" }, ["render"] = "(5 + 5)", ["typ"] = "zavorka" }, ["render"] = "9 - 10 - (-12) - (5 + 5)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.3, bodu=12, $$10 + 3 - 12 \cdot 8 + 11=\textcolor{white}{-72}$$return { ["body"] = 12, ["id"] = "jy9tX8_1020_0901", ["obtiznost"] = 0.3, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -72, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-72}{1}", ["typ"] = "cislo" }, ["tex"] = "-72", ["x"] = -72 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "10 + 3", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 8", ["typ"] = "krat" }, ["render"] = "10 + 3 - 12 \\cdot 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "10 + 3 - 12 \\cdot 8 + 11", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.31, bodu=63, $$(2\frac{3}{6} + 2\frac{3}{6} - 11) \cdot 14 + (-10)=\textcolor{white}{-94}$$return { ["body"] = 63, ["id"] = "akTaOZ_1020_0901", ["obtiznost"] = 0.71, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -94, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-94}{1}", ["typ"] = "cislo" }, ["tex"] = "-94", ["x"] = -94 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} + 2\\frac{3}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} + 2\\frac{3}{6} - 11", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{6} + 2\\frac{3}{6} - 11)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{6} + 2\\frac{3}{6} - 11) \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{6} + 2\\frac{3}{6} - 11) \\cdot 14 + (-10)", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.32, bodu=43, $$5 \cdot 8 \cdot 9 \cdot 2\frac{3}{9}=\textcolor{white}{840}$$return { ["body"] = 43, ["id"] = "AoNmWl_1020_0901", ["obtiznost"] = 0.52, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 840, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2520}{3}", ["typ"] = "cislo" }, ["tex"] = "840", ["tex_float"] = "840", ["x"] = 840 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 8 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 8 \\cdot 9 \\cdot 2\\frac{3}{9}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.33, bodu=44, $$9 + (-7 \cdot 1\frac{5}{8}) - (-9 + (-9))=\textcolor{white}{15{,}625}$$return { ["body"] = 44, ["id"] = "8g2pH0_1020_0901", ["obtiznost"] = 0.53, ["reseni"] = { ["float"] = 15.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 125, ["jmenovatel"] = 8 }, ["render"] = "\\frac{125}{8}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{5}{8}", ["tex_float"] = "15{,}625", ["x"] = 15, ["y"] = 5, ["z"] = 8 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 1\\frac{5}{8}", ["typ"] = "krat" }, ["render"] = "9 + (-7 \\cdot 1\\frac{5}{8})", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-9 + (-9)", ["typ"] = "plus" }, ["render"] = "(-9 + (-9))", ["typ"] = "zavorka" }, ["render"] = "9 + (-7 \\cdot 1\\frac{5}{8}) - (-9 + (-9))", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.34, bodu=28, $$\frac{\frac{(12 - 9)^2}{11}}{-7 + 9}=\textcolor{white}{\frac{9}{22}}$$return { ["body"] = 28, ["id"] = "M1HKi6_1020_0901", ["obtiznost"] = 0.344, ["reseni"] = { ["float"] = 0.40909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 22 }, ["render"] = "\\frac{9}{22}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{22}", ["y"] = 9, ["z"] = 22 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{(12 - 9)^2}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-7 + 9", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{(12 - 9)^2}{11}}{-7 + 9}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.35, bodu=46, $$(9 - 1\frac{2}{3}) \cdot -13 \cdot -7=\textcolor{white}{667\frac{1}{3}}$$return { ["body"] = 46, ["id"] = "ObfUN8_1020_0901", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = 667.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2002, ["jmenovatel"] = 3 }, ["render"] = "\\frac{2002}{3}", ["typ"] = "cislo" }, ["tex"] = "667\\frac{1}{3}", ["x"] = 667, ["y"] = 1, ["z"] = 3 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.35", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{2}{3}", ["typ"] = "minus" }, ["render"] = "(9 - 1\\frac{2}{3})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -7", ["typ"] = "krat" }, ["render"] = "(9 - 1\\frac{2}{3}) \\cdot -13 \\cdot -7", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.36, bodu=69, $$(10 \cdot 3\frac{4}{6} + 1\frac{5}{6}) \cdot -4=\textcolor{white}{-154}$$return { ["body"] = 69, ["id"] = "AzKzs8_1020_0901", ["obtiznost"] = 0.76, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -154, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-308}{2}", ["typ"] = "cislo" }, ["tex"] = "-154", ["x"] = -154 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.36", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 3\\frac{4}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 3\\frac{4}{6} + 1\\frac{5}{6}", ["typ"] = "plus" }, ["render"] = "(10 \\cdot 3\\frac{4}{6} + 1\\frac{5}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "(10 \\cdot 3\\frac{4}{6} + 1\\frac{5}{6}) \\cdot -4", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.37, bodu=70, $$(3\frac{2}{4} + 2\frac{3}{4} \cdot 10) \cdot 14=\textcolor{white}{434}$$return { ["body"] = 70, ["id"] = "GBIn58_1020_0901", ["obtiznost"] = 0.77, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 434, ["jmenovatel"] = 1 }, ["render"] = "\\frac{434}{1}", ["typ"] = "cislo" }, ["tex"] = "434", ["x"] = 434 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.37", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{4} \\cdot 10", ["typ"] = "krat" }, ["render"] = "3\\frac{2}{4} + 2\\frac{3}{4} \\cdot 10", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{4} + 2\\frac{3}{4} \\cdot 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(3\\frac{2}{4} + 2\\frac{3}{4} \\cdot 10) \\cdot 14", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.38, bodu=31, $$\frac{-9 + 11 \cdot (7 + (-11))}{7}=\textcolor{white}{-7\frac{4}{7}}$$return { ["body"] = 31, ["id"] = "ndof1G_1020_0901", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = -7.5714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -53, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-53}{7}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{4}{7}", ["x"] = -7, ["y"] = 4, ["z"] = 7 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "7 + (-11)", ["typ"] = "plus" }, ["render"] = "(7 + (-11))", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (7 + (-11))", ["typ"] = "krat" }, ["render"] = "-9 + 11 \\cdot (7 + (-11))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 + 11 \\cdot (7 + (-11))}{7}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.39, bodu=73, $$\frac{2\frac{2}{8}}{15 + 4 \cdot 2\frac{5}{9}}=\textcolor{white}{\frac{81}{908}}$$return { ["body"] = 73, ["id"] = "h5yZPo_1020_0901", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = 0.08920704845815, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 908 }, ["render"] = "\\frac{81}{908}", ["typ"] = "cislo" }, ["tex"] = "\\frac{81}{908}", ["y"] = 81, ["z"] = 908 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.39", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 2\\frac{5}{9}", ["typ"] = "krat" }, ["render"] = "15 + 4 \\cdot 2\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{2}{8}}{15 + 4 \\cdot 2\\frac{5}{9}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.4, bodu=51, $$(\frac{6}{-9} - 4\frac{3}{7}) \cdot 6 + 8=\textcolor{white}{-22\frac{4}{7}}$$return { ["body"] = 51, ["id"] = "DWwZW4_1020_0901", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = -22.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -158, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-158}{7}", ["typ"] = "cislo" }, ["tex"] = "-22\\frac{4}{7}", ["x"] = -22, ["y"] = 4, ["z"] = 7 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-9} - 4\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(\\frac{6}{-9} - 4\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{6}{-9} - 4\\frac{3}{7}) \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{6}{-9} - 4\\frac{3}{7}) \\cdot 6 + 8", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.41, bodu=38, $$(6 + \frac{7 - 16}{-6} - 10)^3=\textcolor{white}{-15{,}625}$$return { ["body"] = 38, ["id"] = "i0Dkf7_1020_0901", ["obtiznost"] = 0.4632, ["reseni"] = { ["float"] = -15.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -125, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-125}{8}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{5}{8}", ["tex_float"] = "-15{,}625", ["x"] = -15, ["y"] = 5, ["z"] = 8 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.41", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "7 - 16", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 16}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 16}{-6} - 10", ["typ"] = "minus" }, ["render"] = "6 + \\frac{7 - 16}{-6} - 10", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(6 + \\frac{7 - 16}{-6} - 10)^3", ["typ"] = "mocnina" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.42, bodu=66, $$\frac{3\frac{4}{6} + (-5)}{(-7 + (-10))^2 \cdot -15}=\textcolor{white}{\frac{4}{13005}}$$return { ["body"] = 66, ["id"] = "stZPY6_1020_0901", ["obtiznost"] = 0.736, ["reseni"] = { ["float"] = 0.00030757400999616, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 13005 }, ["render"] = "\\frac{-4}{-13005}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{13005}", ["y"] = 4, ["z"] = 13005 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{6} + (-5)", ["typ"] = "plus" }, ["c2"] = { ["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"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "(-7 + (-10))^2 \\cdot -15", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{4}{6} + (-5)}{(-7 + (-10))^2 \\cdot -15}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.43, bodu=104, $$3\frac{1}{7} \cdot -9 \cdot 2\frac{5}{10} \cdot 3\frac{5}{11}=\textcolor{white}{-244\frac{2}{7}}$$return { ["body"] = 104, ["id"] = "JIiCgl_1020_0901", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = -244.28571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1710, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-18810}{77}", ["typ"] = "cislo" }, ["tex"] = "-244\\frac{2}{7}", ["x"] = -244, ["y"] = 2, ["z"] = 7 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{7} \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{7} \\cdot -9 \\cdot 2\\frac{5}{10} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.44, bodu=56, $$\frac{4\frac{2}{8} \cdot 11}{5 - (12 + (-11))}=\textcolor{white}{11\frac{11}{16}}$$return { ["body"] = 56, ["id"] = "GVF6Tc_1020_0901", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = 11.6875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 187, ["jmenovatel"] = 16 }, ["render"] = "\\frac{187}{16}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{11}{16}", ["x"] = 11, ["y"] = 11, ["z"] = 16 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "12 + (-11)", ["typ"] = "plus" }, ["render"] = "(12 + (-11))", ["typ"] = "zavorka" }, ["render"] = "5 - (12 + (-11))", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{2}{8} \\cdot 11}{5 - (12 + (-11))}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.45, bodu=80, $$\frac{15 \cdot -10}{1\frac{2}{3} + 2\frac{5}{8}} \cdot 3=\textcolor{white}{-104\frac{88}{103}}$$return { ["body"] = 80, ["id"] = "1ZXKHD_1020_0901", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = -104.85436893204, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10800, ["jmenovatel"] = 103 }, ["render"] = "\\frac{-10800}{103}", ["typ"] = "cislo" }, ["tex"] = "-104\\frac{88}{103}", ["x"] = -104, ["y"] = 88, ["z"] = 103 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "15 \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{3} + 2\\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{15 \\cdot -10}{1\\frac{2}{3} + 2\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{15 \\cdot -10}{1\\frac{2}{3} + 2\\frac{5}{8}} \\cdot 3", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.46, bodu=58, $$\frac{-11 \cdot -8 \cdot 4\frac{1}{7}}{7}=\textcolor{white}{52\frac{4}{49}}$$return { ["body"] = 58, ["id"] = "nc70ug_1020_0901", ["obtiznost"] = 0.66, ["reseni"] = { ["float"] = 52.081632653061, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2552, ["jmenovatel"] = 49 }, ["render"] = "\\frac{2552}{49}", ["typ"] = "cislo" }, ["tex"] = "52\\frac{4}{49}", ["x"] = 52, ["y"] = 4, ["z"] = 49 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -8 \\cdot 4\\frac{1}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 \\cdot -8 \\cdot 4\\frac{1}{7}}{7}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.47, bodu=67, $$\frac{8}{2\frac{3}{9} \cdot (\frac{10}{-8})^3}=\textcolor{white}{-1\frac{661}{875}}$$return { ["body"] = 67, ["id"] = "EFWud1_1020_0901", ["obtiznost"] = 0.7456, ["reseni"] = { ["float"] = -1.7554285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1536, ["jmenovatel"] = 875 }, ["render"] = "\\frac{1536}{-875}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{661}{875}", ["x"] = -1, ["y"] = 661, ["z"] = 875 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{10}{-8})^3", ["typ"] = "mocnina" }, ["render"] = "2\\frac{3}{9} \\cdot (\\frac{10}{-8})^3", ["typ"] = "krat" }, ["render"] = "\\frac{8}{2\\frac{3}{9} \\cdot (\\frac{10}{-8})^3}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.48, bodu=60, $$(\frac{5}{14} \cdot (\frac{-10 - (-10)}{3\frac{2}{6}})^2)^2=\textcolor{white}{0}$$return { ["body"] = 60, ["id"] = "xY3oLf_1020_0901", ["obtiznost"] = 0.6808, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.48", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - (-10)}{3\\frac{2}{6}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-10 - (-10)}{3\\frac{2}{6}})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{5}{14} \\cdot (\\frac{-10 - (-10)}{3\\frac{2}{6}})^2", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{5}{14} \\cdot (\\frac{-10 - (-10)}{3\\frac{2}{6}})^2)^2", ["typ"] = "mocnina" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.49, bodu=20, $$-12 - 10 \cdot (4 + (-11 - (-10))^3)=\textcolor{white}{-42}$$return { ["body"] = 20, ["id"] = "r2mGjv_1020_0901", ["obtiznost"] = 0.4908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -42, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-42}{1}", ["typ"] = "cislo" }, ["tex"] = "-42", ["x"] = -42 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.49", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-11 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-11 - (-10))^3", ["typ"] = "mocnina" }, ["render"] = "4 + (-11 - (-10))^3", ["typ"] = "plus" }, ["render"] = "(4 + (-11 - (-10))^3)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (4 + (-11 - (-10))^3)", ["typ"] = "krat" }, ["render"] = "-12 - 10 \\cdot (4 + (-11 - (-10))^3)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.5, bodu=62, $$\frac{11 \cdot -9 \cdot 4}{1\frac{3}{7}}=\textcolor{white}{-277{,}2}$$return { ["body"] = 62, ["id"] = "lQToZY_1020_0901", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = -277.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1386, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-2772}{10}", ["typ"] = "cislo" }, ["tex"] = "-277\\frac{1}{5}", ["tex_float"] = "-277{,}2", ["x"] = -277, ["y"] = 1, ["z"] = 5 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.5", ["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 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -9 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{11 \\cdot -9 \\cdot 4}{1\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.51, bodu=63, $$\frac{\frac{7}{5}}{9 \cdot -7 + 1\frac{3}{6}}=\textcolor{white}{-\frac{14}{615}}$$return { ["body"] = 63, ["id"] = "LoGm8Y_1020_0901", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = -0.022764227642276, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 615 }, ["render"] = "\\frac{14}{-615}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{14}{615}", ["y"] = -14, ["z"] = 615 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -7 + 1\\frac{3}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{7}{5}}{9 \\cdot -7 + 1\\frac{3}{6}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.52, bodu=64, $$\frac{4\frac{1}{4}}{9 \cdot 13 \cdot -12}=\textcolor{white}{-\frac{17}{5616}}$$return { ["body"] = 64, ["id"] = "MKx7aT_1020_0901", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = -0.0030270655270655, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 5616 }, ["render"] = "\\frac{17}{-5616}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{17}{5616}", ["y"] = -17, ["z"] = 5616 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.52", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -12", ["typ"] = "krat" }, ["render"] = "9 \\cdot 13 \\cdot -12", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{1}{4}}{9 \\cdot 13 \\cdot -12}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.53, bodu=66, $$-9 - (-11) + \frac{-14}{3\frac{1}{8}} \cdot 10=\textcolor{white}{-42{,}8}$$return { ["body"] = 66, ["id"] = "XbFdIB_1020_0901", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = -42.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -214, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-214}{5}", ["typ"] = "cislo" }, ["tex"] = "-42\\frac{4}{5}", ["tex_float"] = "-42{,}8", ["x"] = -42, ["y"] = 4, ["z"] = 5 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-9 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{3\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{3\\frac{1}{8}} \\cdot 10", ["typ"] = "krat" }, ["render"] = "-9 - (-11) + \\frac{-14}{3\\frac{1}{8}} \\cdot 10", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.54, bodu=149, $$1\frac{1}{4} \cdot \frac{2\frac{1}{6}}{3\frac{5}{9}} \cdot (10 - 2\frac{2}{6})=\textcolor{white}{5\frac{215}{256}}$$return { ["body"] = 149, ["id"] = "OMM4r0_1020_0901", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = 5.83984375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1495, ["jmenovatel"] = 256 }, ["render"] = "\\frac{4485}{768}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{215}{256}", ["x"] = 5, ["y"] = 215, ["z"] = 256 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6}}{3\\frac{5}{9}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{4} \\cdot \\frac{2\\frac{1}{6}}{3\\frac{5}{9}}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "10 - 2\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(10 - 2\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{4} \\cdot \\frac{2\\frac{1}{6}}{3\\frac{5}{9}} \\cdot (10 - 2\\frac{2}{6})", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.55, bodu=68, $$\frac{-9 \cdot (-9 - 11) + 13}{4\frac{3}{6}}=\textcolor{white}{42\frac{8}{9}}$$return { ["body"] = 68, ["id"] = "J3TS4o_1020_0901", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = 42.888888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 386, ["jmenovatel"] = 9 }, ["render"] = "\\frac{386}{9}", ["typ"] = "cislo" }, ["tex"] = "42\\frac{8}{9}", ["x"] = 42, ["y"] = 8, ["z"] = 9 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 - 11", ["typ"] = "minus" }, ["render"] = "(-9 - 11)", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot (-9 - 11)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot (-9 - 11) + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 \\cdot (-9 - 11) + 13}{4\\frac{3}{6}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.56, bodu=94, $$(1\frac{5}{8} - \frac{15}{-4}) \cdot 3\frac{1}{7} - 15=\textcolor{white}{1\frac{25}{28}}$$return { ["body"] = 94, ["id"] = "Jyt2sB_1020_0901", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = 1.8928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 28 }, ["render"] = "\\frac{53}{28}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{25}{28}", ["x"] = 1, ["y"] = 25, ["z"] = 28 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-4}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{5}{8} - \\frac{15}{-4}", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{8} - \\frac{15}{-4})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{5}{8} - \\frac{15}{-4}) \\cdot 3\\frac{1}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "(1\\frac{5}{8} - \\frac{15}{-4}) \\cdot 3\\frac{1}{7} - 15", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.57, bodu=48, $$\frac{7 \cdot -6}{11 - 10 + (-12)}=\textcolor{white}{3\frac{9}{11}}$$return { ["body"] = 48, ["id"] = "b6IPZT_1020_0901", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = 3.8181818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-42}{-11}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{9}{11}", ["x"] = 3, ["y"] = 9, ["z"] = 11 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "11 - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "11 - 10 + (-12)", ["typ"] = "plus" }, ["render"] = "\\frac{7 \\cdot -6}{11 - 10 + (-12)}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.58, bodu=97, $$(3 + 4\frac{2}{5}) \cdot -7 \cdot (-14 - 3\frac{2}{7})=\textcolor{white}{895{,}4}$$return { ["body"] = 97, ["id"] = "FZV2FS_1020_0901", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = 895.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4477, ["jmenovatel"] = 5 }, ["render"] = "\\frac{4477}{5}", ["typ"] = "cislo" }, ["tex"] = "895\\frac{2}{5}", ["tex_float"] = "895{,}4", ["x"] = 895, ["y"] = 2, ["z"] = 5 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.58", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "3 + 4\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(3 + 4\\frac{2}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "-14 - 3\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "(-14 - 3\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "-7 \\cdot (-14 - 3\\frac{2}{7})", ["typ"] = "krat" }, ["render"] = "(3 + 4\\frac{2}{5}) \\cdot -7 \\cdot (-14 - 3\\frac{2}{7})", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.59, bodu=73, $$(6 \cdot (16 - 16)^4)^3 + 7 - 2\frac{1}{6}=\textcolor{white}{4\frac{5}{6}}$$return { ["body"] = 73, ["id"] = "4rau3G_1020_0901", ["obtiznost"] = 0.7908, ["reseni"] = { ["float"] = 4.8333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "\\frac{29}{6}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{5}{6}", ["x"] = 4, ["y"] = 5, ["z"] = 6 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.59", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "16 - 16", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(16 - 16)^4", ["typ"] = "mocnina" }, ["render"] = "6 \\cdot (16 - 16)^4", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(6 \\cdot (16 - 16)^4)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "7 - 2\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "(6 \\cdot (16 - 16)^4)^3 + 7 - 2\\frac{1}{6}", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.6, bodu=91, $$-6 - \frac{-9}{3\frac{4}{10}} + (18 + (-11))^3 - 5=\textcolor{white}{334\frac{11}{17}}$$return { ["body"] = 91, ["id"] = "icjGkq_1020_0901", ["obtiznost"] = 0.9376, ["reseni"] = { ["float"] = 334.64705882353, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5689, ["jmenovatel"] = 17 }, ["render"] = "\\frac{5689}{17}", ["typ"] = "cislo" }, ["tex"] = "334\\frac{11}{17}", ["x"] = 334, ["y"] = 11, ["z"] = 17 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "-6 - \\frac{-9}{3\\frac{4}{10}}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "18 + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(18 + (-11))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(18 + (-11))^3 - 5", ["typ"] = "minus" }, ["render"] = "-6 - \\frac{-9}{3\\frac{4}{10}} + (18 + (-11))^3 - 5", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.61, bodu=102, $$\frac{\frac{2\frac{2}{8}}{7} + 3\frac{3}{8}}{10 - (\frac{10}{-2})^2}=\textcolor{white}{-\frac{69}{280}}$$return { ["body"] = 102, ["id"] = "pstC7l_1020_0901", ["obtiznost"] = 1.0204, ["reseni"] = { ["float"] = -0.24642857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -69, ["jmenovatel"] = 280 }, ["render"] = "\\frac{207}{-840}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{69}{280}", ["y"] = -69, ["z"] = 280 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{8}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{8}}{7} + 3\\frac{3}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-2}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{-2})^2", ["typ"] = "mocnina" }, ["render"] = "10 - (\\frac{10}{-2})^2", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{2\\frac{2}{8}}{7} + 3\\frac{3}{8}}{10 - (\\frac{10}{-2})^2}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.62, bodu=131, $$\frac{-4 \cdot (13 + 2\frac{3}{7} + 9 + 2\frac{1}{5} - 4\frac{2}{7})}{10}=\textcolor{white}{-8\frac{164}{175}}$$return { ["body"] = 131, ["id"] = "1aVp2C_1020_0901", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -8.9371428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1564, ["jmenovatel"] = 175 }, ["render"] = "\\frac{-3128}{350}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{164}{175}", ["x"] = -8, ["y"] = 164, ["z"] = 175 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} + 9", ["typ"] = "plus" }, ["render"] = "13 + 2\\frac{3}{7} + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{5} - 4\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "13 + 2\\frac{3}{7} + 9 + 2\\frac{1}{5} - 4\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(13 + 2\\frac{3}{7} + 9 + 2\\frac{1}{5} - 4\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "-4 \\cdot (13 + 2\\frac{3}{7} + 9 + 2\\frac{1}{5} - 4\\frac{2}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-4 \\cdot (13 + 2\\frac{3}{7} + 9 + 2\\frac{1}{5} - 4\\frac{2}{7})}{10}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.63, bodu=167, $$\frac{\frac{(5 - 2\frac{1}{2})^2}{(\frac{3\frac{2}{11}}{1\frac{3}{4}})^2}}{-3}=\textcolor{white}{-\frac{121}{192}}$$return { ["body"] = 167, ["id"] = "lUfPNr_1020_0901", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = -0.63020833333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -121, ["jmenovatel"] = 192 }, ["render"] = "\\frac{121}{-192}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{121}{192}", ["y"] = -121, ["z"] = 192 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "5 - 2\\frac{1}{2}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(5 - 2\\frac{1}{2})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{11}}{1\\frac{3}{4}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{2}{11}}{1\\frac{3}{4}})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{(5 - 2\\frac{1}{2})^2}{(\\frac{3\\frac{2}{11}}{1\\frac{3}{4}})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{(5 - 2\\frac{1}{2})^2}{(\\frac{3\\frac{2}{11}}{1\\frac{3}{4}})^2}}{-3}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.64, bodu=105, $$(14 + \frac{-11}{10} + \frac{7}{4\frac{1}{7}}) \cdot 2\frac{2}{6}=\textcolor{white}{34\frac{37}{870}}$$return { ["body"] = 105, ["id"] = "FdJbTb_1020_0901", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = 34.042528735632, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29617, ["jmenovatel"] = 870 }, ["render"] = "\\frac{29617}{870}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{37}{870}", ["x"] = 34, ["y"] = 37, ["z"] = 870 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.64", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{4\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11}{10} + \\frac{7}{4\\frac{1}{7}}", ["typ"] = "plus" }, ["render"] = "14 + \\frac{-11}{10} + \\frac{7}{4\\frac{1}{7}}", ["typ"] = "plus" }, ["render"] = "(14 + \\frac{-11}{10} + \\frac{7}{4\\frac{1}{7}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "(14 + \\frac{-11}{10} + \\frac{7}{4\\frac{1}{7}}) \\cdot 2\\frac{2}{6}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.65, bodu=135, $$\frac{\frac{11}{4 \cdot 4\frac{5}{9}}}{3\frac{2}{8} \cdot 1\frac{4}{6}}=\textcolor{white}{\frac{297}{2665}}$$return { ["body"] = 135, ["id"] = "ikwago_1020_0901", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 0.11144465290807, ["objekt"] = { ["hodnota"] = { ["citatel"] = 297, ["jmenovatel"] = 2665 }, ["render"] = "\\frac{1188}{10660}", ["typ"] = "cislo" }, ["tex"] = "\\frac{297}{2665}", ["y"] = 297, ["z"] = 2665 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 4\\frac{5}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{11}{4 \\cdot 4\\frac{5}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} \\cdot 1\\frac{4}{6}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{11}{4 \\cdot 4\\frac{5}{9}}}{3\\frac{2}{8} \\cdot 1\\frac{4}{6}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.66, bodu=137, $$\frac{8}{2\frac{3}{6}} - (12 \cdot 2\frac{4}{5} - 8 + 4\frac{3}{5})=\textcolor{white}{-27}$$return { ["body"] = 137, ["id"] = "YXd2VL_1020_0901", ["obtiznost"] = 1.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -27, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-135}{5}", ["typ"] = "cislo" }, ["tex"] = "-27", ["x"] = -27 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{2\\frac{3}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{4}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{4}{5} - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{4}{5} - 8 + 4\\frac{3}{5}", ["typ"] = "plus" }, ["render"] = "(12 \\cdot 2\\frac{4}{5} - 8 + 4\\frac{3}{5})", ["typ"] = "zavorka" }, ["render"] = "\\frac{8}{2\\frac{3}{6}} - (12 \\cdot 2\\frac{4}{5} - 8 + 4\\frac{3}{5})", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.67, bodu=109, $$\frac{\frac{1\frac{4}{6}}{-18} + 2\frac{2}{4}}{-10} + (-14 + (-19))=\textcolor{white}{-33\frac{13}{54}}$$return { ["body"] = 109, ["id"] = "9J4IRG_1020_0901", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = -33.240740740741, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1795, ["jmenovatel"] = 54 }, ["render"] = "\\frac{-1795}{54}", ["typ"] = "cislo" }, ["tex"] = "-33\\frac{13}{54}", ["x"] = -33, ["y"] = 13, ["z"] = 54 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{6}}{-18}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{6}}{-18} + 2\\frac{2}{4}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{4}{6}}{-18} + 2\\frac{2}{4}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "-14 + (-19)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{1\\frac{4}{6}}{-18} + 2\\frac{2}{4}}{-10} + (-14 + (-19))", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.68, bodu=111, $$\frac{\frac{1\frac{1}{7} + 4 + 14 + 4\frac{5}{11}}{-12}}{-7}=\textcolor{white}{\frac{1817}{6468}}$$return { ["body"] = 111, ["id"] = "okyNTe_1020_0901", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 0.28092145949289, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1817, ["jmenovatel"] = 6468 }, ["render"] = "\\frac{-1817}{-6468}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1817}{6468}", ["y"] = 1817, ["z"] = 6468 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4 + 14", ["typ"] = "plus" }, ["render"] = "1\\frac{1}{7} + 4 + 14", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{7} + 4 + 14 + 4\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7} + 4 + 14 + 4\\frac{5}{11}}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{1}{7} + 4 + 14 + 4\\frac{5}{11}}{-12}}{-7}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.69, bodu=134, $$(1\frac{3}{7} - 3)^2 \cdot ((\frac{9}{11})^2 - 2\frac{5}{10} + 9)=\textcolor{white}{17\frac{69}{98}}$$return { ["body"] = 134, ["id"] = "1ZiTBO_1020_0901", ["obtiznost"] = 1.2388, ["reseni"] = { ["float"] = 17.704081632653, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1735, ["jmenovatel"] = 98 }, ["render"] = "\\frac{209935}{11858}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{69}{98}", ["x"] = 17, ["y"] = 69, ["z"] = 98 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.69", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{7} - 3", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{3}{7} - 3)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{11}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{11})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "(\\frac{9}{11})^2 - 2\\frac{5}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(\\frac{9}{11})^2 - 2\\frac{5}{10} + 9", ["typ"] = "plus" }, ["render"] = "((\\frac{9}{11})^2 - 2\\frac{5}{10} + 9)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{3}{7} - 3)^2 \\cdot ((\\frac{9}{11})^2 - 2\\frac{5}{10} + 9)", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.7, bodu=98, $$\frac{11}{-20 + 15 - (-18 - (-3))^2 + 4\frac{3}{7}}=\textcolor{white}{-\frac{77}{1579}}$$return { ["body"] = 98, ["id"] = "Q5pIqi_1020_0901", ["obtiznost"] = 0.9904, ["reseni"] = { ["float"] = -0.048765041165294, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77, ["jmenovatel"] = 1579 }, ["render"] = "\\frac{77}{-1579}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{77}{1579}", ["y"] = -77, ["z"] = 1579 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-18 - (-3)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-18 - (-3))^2", ["typ"] = "mocnina" }, ["render"] = "15 - (-18 - (-3))^2", ["typ"] = "minus" }, ["render"] = "-20 + 15 - (-18 - (-3))^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-20 + 15 - (-18 - (-3))^2 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{11}{-20 + 15 - (-18 - (-3))^2 + 4\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.71, bodu=89, $$3\frac{3}{12} \cdot 11 \cdot (\frac{13 - (-7)}{-15})^2=\textcolor{white}{63\frac{5}{9}}$$return { ["body"] = 89, ["id"] = "Ang4yk_1020_0901", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 63.555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 572, ["jmenovatel"] = 9 }, ["render"] = "\\frac{2288}{36}", ["typ"] = "cislo" }, ["tex"] = "63\\frac{5}{9}", ["x"] = 63, ["y"] = 5, ["z"] = 9 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{12} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "13 - (-7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{13 - (-7)}{-15}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{13 - (-7)}{-15})^2", ["typ"] = "mocnina" }, ["render"] = "3\\frac{3}{12} \\cdot 11 \\cdot (\\frac{13 - (-7)}{-15})^2", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.72, bodu=116, $$-10 \cdot \frac{4\frac{1}{6} + (-17)}{\frac{12}{2\frac{2}{8}}}=\textcolor{white}{24\frac{1}{16}}$$return { ["body"] = 116, ["id"] = "p3B4qm_1020_0901", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = 24.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 385, ["jmenovatel"] = 16 }, ["render"] = "\\frac{770}{32}", ["typ"] = "cislo" }, ["tex"] = "24\\frac{1}{16}", ["x"] = 24, ["y"] = 1, ["z"] = 16 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} + (-17)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{2\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{1}{6} + (-17)}{\\frac{12}{2\\frac{2}{8}}}", ["typ"] = "lomeno" }, ["render"] = "-10 \\cdot \\frac{4\\frac{1}{6} + (-17)}{\\frac{12}{2\\frac{2}{8}}}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.73, bodu=118, $$\frac{\frac{4\frac{4}{8} - (13 + (-8))}{-14 - 1\frac{5}{13}}}{-12}=\textcolor{white}{-\frac{13}{4800}}$$return { ["body"] = 118, ["id"] = "rKF0Xq_1020_0901", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -0.0027083333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 4800 }, ["render"] = "\\frac{13}{-4800}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{4800}", ["y"] = -13, ["z"] = 4800 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(13 + (-8))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{8} - (13 + (-8))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "-14 - 1\\frac{5}{13}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{4}{8} - (13 + (-8))}{-14 - 1\\frac{5}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{4}{8} - (13 + (-8))}{-14 - 1\\frac{5}{13}}}{-12}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.74, bodu=92, $$\frac{-11 - 17}{\frac{2\frac{2}{11}}{-15 - (-11)}}=\textcolor{white}{51\frac{1}{3}}$$return { ["body"] = 92, ["id"] = "fZuaUc_1020_0901", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = 51.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 154, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-308}{-6}", ["typ"] = "cislo" }, ["tex"] = "51\\frac{1}{3}", ["x"] = 51, ["y"] = 1, ["z"] = 3 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-11 - 17", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-15 - (-11)", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{2}{11}}{-15 - (-11)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11 - 17}{\\frac{2\\frac{2}{11}}{-15 - (-11)}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.75, bodu=93, $$\frac{-13}{\frac{-9}{(12 + 14 + 3\frac{4}{11}) \cdot -11}}=\textcolor{white}{-466\frac{5}{9}}$$return { ["body"] = 93, ["id"] = "zBq9hP_1020_0901", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = -466.55555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4199, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-4199}{9}", ["typ"] = "cislo" }, ["tex"] = "-466\\frac{5}{9}", ["x"] = -466, ["y"] = 5, ["z"] = 9 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.75", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "14 + 3\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "12 + 14 + 3\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "(12 + 14 + 3\\frac{4}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(12 + 14 + 3\\frac{4}{11}) \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{-9}{(12 + 14 + 3\\frac{4}{11}) \\cdot -11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{\\frac{-9}{(12 + 14 + 3\\frac{4}{11}) \\cdot -11}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.76, bodu=160, $$(-11 + (-14)) \cdot (\frac{3\frac{1}{11}}{17})^2 - (4\frac{5}{11} + 1\frac{2}{7})=\textcolor{white}{-6\frac{480}{847}}$$return { ["body"] = 160, ["id"] = "RUoLZ1_1020_0901", ["obtiznost"] = 1.41, ["reseni"] = { ["float"] = -6.5667060212515, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5562, ["jmenovatel"] = 847 }, ["render"] = "\\frac{-61182}{9317}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{480}{847}", ["x"] = -6, ["y"] = 480, ["z"] = 847 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-11 + (-14)", ["typ"] = "plus" }, ["render"] = "(-11 + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 34, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{11}}{17}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{1}{11}}{17})^2", ["typ"] = "mocnina" }, ["render"] = "(-11 + (-14)) \\cdot (\\frac{3\\frac{1}{11}}{17})^2", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} + 1\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{11} + 1\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "(-11 + (-14)) \\cdot (\\frac{3\\frac{1}{11}}{17})^2 - (4\\frac{5}{11} + 1\\frac{2}{7})", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.77, bodu=154, $$\frac{3\frac{3}{4}}{15} - (6 \cdot 4\frac{3}{10} + 3\frac{4}{9} + (-11))=\textcolor{white}{-17\frac{179}{180}}$$return { ["body"] = 154, ["id"] = "IvYTam_1020_0901", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = -17.994444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3239, ["jmenovatel"] = 180 }, ["render"] = "\\frac{-3239}{180}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{179}{180}", ["x"] = -17, ["y"] = 179, ["z"] = 180 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{4}}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{3}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{3}{10} + 3\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{3}{10} + 3\\frac{4}{9} + (-11)", ["typ"] = "plus" }, ["render"] = "(6 \\cdot 4\\frac{3}{10} + 3\\frac{4}{9} + (-11))", ["typ"] = "zavorka" }, ["render"] = "\\frac{3\\frac{3}{4}}{15} - (6 \\cdot 4\\frac{3}{10} + 3\\frac{4}{9} + (-11))", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.78, bodu=125, $$\frac{8 \cdot -19}{4\frac{1}{7} \cdot 3\frac{5}{11} + (-16)}=\textcolor{white}{90\frac{2}{65}}$$return { ["body"] = 125, ["id"] = "2l23AY_1020_0901", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = 90.030769230769, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5852, ["jmenovatel"] = 65 }, ["render"] = "\\frac{-11704}{-130}", ["typ"] = "cislo" }, ["tex"] = "90\\frac{2}{65}", ["x"] = 90, ["y"] = 2, ["z"] = 65 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "8 \\cdot -19", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{7} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{7} \\cdot 3\\frac{5}{11} + (-16)", ["typ"] = "plus" }, ["render"] = "\\frac{8 \\cdot -19}{4\\frac{1}{7} \\cdot 3\\frac{5}{11} + (-16)}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.79, bodu=109, $$-19 + \frac{-17}{4\frac{5}{10}} + (-16 - (9 + 12 + (-7))^2)=\textcolor{white}{-234\frac{7}{9}}$$return { ["body"] = 109, ["id"] = "DCKlOw_1020_0901", ["obtiznost"] = 1.0688, ["reseni"] = { ["float"] = -234.77777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2113, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-2113}{9}", ["typ"] = "cislo" }, ["tex"] = "-234\\frac{7}{9}", ["x"] = -234, ["y"] = 7, ["z"] = 9 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{4\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "-19 + \\frac{-17}{4\\frac{5}{10}}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 + 12", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "9 + 12 + (-7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(9 + 12 + (-7))^2", ["typ"] = "mocnina" }, ["render"] = "-16 - (9 + 12 + (-7))^2", ["typ"] = "minus" }, ["render"] = "-19 + \\frac{-17}{4\\frac{5}{10}} + (-16 - (9 + 12 + (-7))^2)", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.8, bodu=200, $$3\frac{3}{5} + \frac{1\frac{2}{8} \cdot 2\frac{1}{4}}{1\frac{5}{13} + (10 + (-15))^3} + (-7)=\textcolor{white}{-3\frac{54349}{128560}}$$return { ["body"] = 200, ["id"] = "cHnwqC_1020_0901", ["obtiznost"] = 1.6504, ["reseni"] = { ["float"] = -3.422752022402, ["objekt"] = { ["hodnota"] = { ["citatel"] = -440029, ["jmenovatel"] = 128560 }, ["render"] = "\\frac{-440029}{128560}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{54349}{128560}", ["x"] = -3, ["y"] = 54349, ["z"] = 128560 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} \\cdot 2\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "10 + (-15)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(10 + (-15))^3", ["typ"] = "mocnina" }, ["render"] = "1\\frac{5}{13} + (10 + (-15))^3", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{2}{8} \\cdot 2\\frac{1}{4}}{1\\frac{5}{13} + (10 + (-15))^3}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{5} + \\frac{1\\frac{2}{8} \\cdot 2\\frac{1}{4}}{1\\frac{5}{13} + (10 + (-15))^3}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{5} + \\frac{1\\frac{2}{8} \\cdot 2\\frac{1}{4}}{1\\frac{5}{13} + (10 + (-15))^3} + (-7)", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.81, bodu=129, $$\frac{2\frac{1}{10}}{4 \cdot 3\frac{5}{12} \cdot -10 \cdot -17 - (-6)}=\textcolor{white}{\frac{63}{69880}}$$return { ["body"] = 129, ["id"] = "XOoide_1020_0901", ["obtiznost"] = 1.21, ["reseni"] = { ["float"] = 0.00090154550658271, ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 69880 }, ["render"] = "\\frac{63}{69880}", ["typ"] = "cislo" }, ["tex"] = "\\frac{63}{69880}", ["y"] = 63, ["z"] = 69880 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.81", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} \\cdot -10 \\cdot -17", ["typ"] = "krat" }, ["render"] = "4 \\cdot 3\\frac{5}{12} \\cdot -10 \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 3\\frac{5}{12} \\cdot -10 \\cdot -17 - (-6)", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{10}}{4 \\cdot 3\\frac{5}{12} \\cdot -10 \\cdot -17 - (-6)}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.82, bodu=131, $$1\frac{2}{7} - \frac{2\frac{3}{8}}{17 \cdot 10 + (-19 \cdot 4)}=\textcolor{white}{1\frac{1371}{5264}}$$return { ["body"] = 131, ["id"] = "eHQcwu_1020_0901", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = 1.2604483282675, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6635, ["jmenovatel"] = 5264 }, ["render"] = "\\frac{6635}{5264}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1371}{5264}", ["x"] = 1, ["y"] = 1371, ["z"] = 5264 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.82", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "17 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot 4", ["typ"] = "krat" }, ["render"] = "17 \\cdot 10 + (-19 \\cdot 4)", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{8}}{17 \\cdot 10 + (-19 \\cdot 4)}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{7} - \\frac{2\\frac{3}{8}}{17 \\cdot 10 + (-19 \\cdot 4)}", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.83, bodu=163, $$\frac{4\frac{3}{7} + (-14 + 2\frac{2}{11})}{\frac{7}{1\frac{3}{10}} \cdot 10}=\textcolor{white}{-\frac{7397}{53900}}$$return { ["body"] = 163, ["id"] = "yPSt1N_1020_0901", ["obtiznost"] = 1.43, ["reseni"] = { ["float"] = -0.13723562152134, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7397, ["jmenovatel"] = 53900 }, ["render"] = "\\frac{-7397}{53900}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7397}{53900}", ["y"] = -7397, ["z"] = 53900 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "-14 + 2\\frac{2}{11}", ["typ"] = "plus" }, ["render"] = "4\\frac{3}{7} + (-14 + 2\\frac{2}{11})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{1\\frac{3}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{1\\frac{3}{10}} \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{3}{7} + (-14 + 2\\frac{2}{11})}{\\frac{7}{1\\frac{3}{10}} \\cdot 10}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.84, bodu=234, $$3\frac{5}{9} \cdot 4\frac{2}{8} + (-10 - 3\frac{3}{12}) + \frac{-15}{2\frac{3}{8}} + 4\frac{4}{11}=\textcolor{white}{-\frac{685}{7524}}$$return { ["body"] = 234, ["id"] = "OIYRxC_1020_0901", ["obtiznost"] = 1.84, ["reseni"] = { ["float"] = -0.091041998936736, ["objekt"] = { ["hodnota"] = { ["citatel"] = -685, ["jmenovatel"] = 7524 }, ["render"] = "\\frac{-685}{7524}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{685}{7524}", ["y"] = -685, ["z"] = 7524 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} \\cdot 4\\frac{2}{8}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "-10 - 3\\frac{3}{12}", ["typ"] = "minus" }, ["render"] = "3\\frac{5}{9} \\cdot 4\\frac{2}{8} + (-10 - 3\\frac{3}{12})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{2\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{2\\frac{3}{8}} + 4\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "3\\frac{5}{9} \\cdot 4\\frac{2}{8} + (-10 - 3\\frac{3}{12}) + \\frac{-15}{2\\frac{3}{8}} + 4\\frac{4}{11}", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.85, bodu=135, $$\frac{4\frac{4}{9}}{\frac{-16}{18} + (-16 \cdot 8 \cdot 1\frac{1}{9})}=\textcolor{white}{-\frac{5}{161}}$$return { ["body"] = 135, ["id"] = "UUd1WG_1020_0901", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = -0.031055900621118, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 161 }, ["render"] = "\\frac{360}{-11592}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5}{161}", ["y"] = -5, ["z"] = 161 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.85", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{18}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 8 \\cdot 1\\frac{1}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{-16}{18} + (-16 \\cdot 8 \\cdot 1\\frac{1}{9})", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{4}{9}}{\\frac{-16}{18} + (-16 \\cdot 8 \\cdot 1\\frac{1}{9})}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.86, bodu=108, $$\frac{\frac{\frac{-15}{4\frac{5}{11}} + \frac{-15}{8}}{-14}}{13}=\textcolor{white}{\frac{2055}{71344}}$$return { ["body"] = 108, ["id"] = "pGzGfC_1020_0901", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.028804104059206, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2055, ["jmenovatel"] = 71344 }, ["render"] = "\\frac{2055}{71344}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2055}{71344}", ["y"] = 2055, ["z"] = 71344 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{4\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-15}{4\\frac{5}{11}} + \\frac{-15}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-15}{4\\frac{5}{11}} + \\frac{-15}{8}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{-15}{4\\frac{5}{11}} + \\frac{-15}{8}}{-14}}{13}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.87, bodu=240, $$\frac{2\frac{1}{4}}{16 + 4\frac{3}{9} + \frac{3\frac{4}{9} \cdot (2\frac{4}{9} + 2\frac{1}{9})}{13}}=\textcolor{white}{\frac{9477}{90728}}$$return { ["body"] = 240, ["id"] = "rWKtzX_1020_0901", ["obtiznost"] = 1.87, ["reseni"] = { ["float"] = 0.10445507450842, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9477, ["jmenovatel"] = 90728 }, ["render"] = "\\frac{9477}{90728}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9477}{90728}", ["y"] = 9477, ["z"] = 90728 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} + 2\\frac{1}{9}", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{9} + 2\\frac{1}{9})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{9} \\cdot (2\\frac{4}{9} + 2\\frac{1}{9})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{9} \\cdot (2\\frac{4}{9} + 2\\frac{1}{9})}{13}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{9} + \\frac{3\\frac{4}{9} \\cdot (2\\frac{4}{9} + 2\\frac{1}{9})}{13}", ["typ"] = "plus" }, ["render"] = "16 + 4\\frac{3}{9} + \\frac{3\\frac{4}{9} \\cdot (2\\frac{4}{9} + 2\\frac{1}{9})}{13}", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{1}{4}}{16 + 4\\frac{3}{9} + \\frac{3\\frac{4}{9} \\cdot (2\\frac{4}{9} + 2\\frac{1}{9})}{13}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.88, bodu=111, $$5 \cdot 13 \cdot \frac{-14 + 21}{-16} \cdot 3\frac{4}{13}=\textcolor{white}{-94\frac{1}{16}}$$return { ["body"] = 111, ["id"] = "8eLeZL_1020_0901", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = -94.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1505, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-19565}{208}", ["typ"] = "cislo" }, ["tex"] = "-94\\frac{1}{16}", ["x"] = -94, ["y"] = 1, ["z"] = 16 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "-14 + 21", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 + 21}{-16}", ["typ"] = "lomeno" }, ["render"] = "13 \\cdot \\frac{-14 + 21}{-16}", ["typ"] = "krat" }, ["render"] = "5 \\cdot 13 \\cdot \\frac{-14 + 21}{-16}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 13 \\cdot \\frac{-14 + 21}{-16} \\cdot 3\\frac{4}{13}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.89, bodu=112, $$(18 + 9 + (-10) + (-15 - (-13))) \cdot -12 - 4\frac{5}{13}=\textcolor{white}{-184\frac{5}{13}}$$return { ["body"] = 112, ["id"] = "O968pN_1020_0901", ["obtiznost"] = 1.09, ["reseni"] = { ["float"] = -184.38461538462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2397, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-2397}{13}", ["typ"] = "cislo" }, ["tex"] = "-184\\frac{5}{13}", ["x"] = -184, ["y"] = 5, ["z"] = 13 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "18 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "18 + 9 + (-10)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-15 - (-13)", ["typ"] = "minus" }, ["render"] = "18 + 9 + (-10) + (-15 - (-13))", ["typ"] = "plus" }, ["render"] = "(18 + 9 + (-10) + (-15 - (-13)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(18 + 9 + (-10) + (-15 - (-13))) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "(18 + 9 + (-10) + (-15 - (-13))) \\cdot -12 - 4\\frac{5}{13}", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.9, bodu=161, $$15 - (-20 \cdot \frac{13}{3\frac{3}{5}} \cdot (20 + 8)^2)=\textcolor{white}{56637\frac{2}{9}}$$return { ["body"] = 161, ["id"] = "mLHArK_1020_0901", ["obtiznost"] = 1.414, ["reseni"] = { ["float"] = 56637.222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 509735, ["jmenovatel"] = 9 }, ["render"] = "\\frac{509735}{9}", ["typ"] = "cislo" }, ["tex"] = "56637\\frac{2}{9}", ["x"] = 56637, ["y"] = 2, ["z"] = 9 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.9", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{3}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "20 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(20 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{13}{3\\frac{3}{5}} \\cdot (20 + 8)^2", ["typ"] = "krat" }, ["render"] = "-20 \\cdot \\frac{13}{3\\frac{3}{5}} \\cdot (20 + 8)^2", ["typ"] = "krat" }, ["render"] = "15 - (-20 \\cdot \\frac{13}{3\\frac{3}{5}} \\cdot (20 + 8)^2)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.91, bodu=182, $$4\frac{3}{12} + \frac{-11}{2\frac{2}{6} \cdot 11} - (-17 - (-9 + 4\frac{3}{6})^2)=\textcolor{white}{41\frac{1}{14}}$$return { ["body"] = 182, ["id"] = "VVJaKk_1020_0901", ["obtiznost"] = 1.544, ["reseni"] = { ["float"] = 41.071428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 575, ["jmenovatel"] = 14 }, ["render"] = "\\frac{4600}{112}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{1}{14}", ["x"] = 41, ["y"] = 1, ["z"] = 14 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{-11}{2\\frac{2}{6} \\cdot 11}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{12} + \\frac{-11}{2\\frac{2}{6} \\cdot 11}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-9 + 4\\frac{3}{6}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 4\\frac{3}{6})^2", ["typ"] = "mocnina" }, ["render"] = "-17 - (-9 + 4\\frac{3}{6})^2", ["typ"] = "minus" }, ["render"] = "(-17 - (-9 + 4\\frac{3}{6})^2)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{12} + \\frac{-11}{2\\frac{2}{6} \\cdot 11} - (-17 - (-9 + 4\\frac{3}{6})^2)", ["typ"] = "minus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.92, bodu=249, $$4\frac{2}{9} + (-10) + (15 - 1\frac{3}{11} + 3\frac{5}{6} \cdot 1\frac{3}{9}) \cdot 1\frac{4}{9}=\textcolor{white}{21\frac{386}{891}}$$return { ["body"] = 249, ["id"] = "2PPnAo_1020_0901", ["obtiznost"] = 1.92, ["reseni"] = { ["float"] = 21.433221099888, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19097, ["jmenovatel"] = 891 }, ["render"] = "\\frac{171873}{8019}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{386}{891}", ["x"] = 21, ["y"] = 386, ["z"] = 891 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{9} + (-10)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "15 - 1\\frac{3}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{6} \\cdot 1\\frac{3}{9}", ["typ"] = "krat" }, ["render"] = "15 - 1\\frac{3}{11} + 3\\frac{5}{6} \\cdot 1\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(15 - 1\\frac{3}{11} + 3\\frac{5}{6} \\cdot 1\\frac{3}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(15 - 1\\frac{3}{11} + 3\\frac{5}{6} \\cdot 1\\frac{3}{9}) \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "4\\frac{2}{9} + (-10) + (15 - 1\\frac{3}{11} + 3\\frac{5}{6} \\cdot 1\\frac{3}{9}) \\cdot 1\\frac{4}{9}", ["typ"] = "plus" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.93, bodu=180, $$1\frac{4}{10} \cdot (-18 + (-11) + 21 - 1\frac{4}{15} + (-7)) \cdot 4\frac{2}{8}=\textcolor{white}{-96\frac{59}{75}}$$return { ["body"] = 180, ["id"] = "03oNSr_1020_0901", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = -96.786666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7259, ["jmenovatel"] = 75 }, ["render"] = "\\frac{-29036}{300}", ["typ"] = "cislo" }, ["tex"] = "-96\\frac{59}{75}", ["x"] = -96, ["y"] = 59, ["z"] = 75 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-18 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 15 }, ["render"] = "1\\frac{4}{15}", ["typ"] = "cislo" }, ["render"] = "21 - 1\\frac{4}{15}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "21 - 1\\frac{4}{15} + (-7)", ["typ"] = "plus" }, ["render"] = "-18 + (-11) + 21 - 1\\frac{4}{15} + (-7)", ["typ"] = "plus" }, ["render"] = "(-18 + (-11) + 21 - 1\\frac{4}{15} + (-7))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{10} \\cdot (-18 + (-11) + 21 - 1\\frac{4}{15} + (-7))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} \\cdot (-18 + (-11) + 21 - 1\\frac{4}{15} + (-7)) \\cdot 4\\frac{2}{8}", ["typ"] = "krat" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.94, bodu=216, $$\frac{\frac{4\frac{5}{13} \cdot 22 \cdot 2\frac{1}{3}}{3\frac{3}{9} + 16}}{4\frac{3}{9}}=\textcolor{white}{2\frac{3365}{4901}}$$return { ["body"] = 216, ["id"] = "4GChdn_1020_0901", ["obtiznost"] = 1.74, ["reseni"] = { ["float"] = 2.6865945725362, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13167, ["jmenovatel"] = 4901 }, ["render"] = "\\frac{13167}{4901}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{3365}{4901}", ["x"] = 2, ["y"] = 3365, ["z"] = 4901 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "22 \\cdot 2\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{13} \\cdot 22 \\cdot 2\\frac{1}{3}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} + 16", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{5}{13} \\cdot 22 \\cdot 2\\frac{1}{3}}{3\\frac{3}{9} + 16}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{5}{13} \\cdot 22 \\cdot 2\\frac{1}{3}}{3\\frac{3}{9} + 16}}{4\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.95, bodu=234, $$\frac{3\frac{1}{5} \cdot -10 + (-8 - (-18 + 19))^3}{2\frac{4}{9} + 2\frac{1}{9}}=\textcolor{white}{-167\frac{2}{41}}$$return { ["body"] = 234, ["id"] = "RwfYgJ_1020_0901", ["obtiznost"] = 1.842, ["reseni"] = { ["float"] = -167.0487804878, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6849, ["jmenovatel"] = 41 }, ["render"] = "\\frac{-6849}{41}", ["typ"] = "cislo" }, ["tex"] = "-167\\frac{2}{41}", ["x"] = -167, ["y"] = 2, ["z"] = 41 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "-18 + 19", ["typ"] = "plus" }, ["render"] = "(-18 + 19)", ["typ"] = "zavorka" }, ["render"] = "-8 - (-18 + 19)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-8 - (-18 + 19))^3", ["typ"] = "mocnina" }, ["render"] = "3\\frac{1}{5} \\cdot -10 + (-8 - (-18 + 19))^3", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} + 2\\frac{1}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{1}{5} \\cdot -10 + (-8 - (-18 + 19))^3}{2\\frac{4}{9} + 2\\frac{1}{9}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.96, bodu=185, $$\frac{19 \cdot 1\frac{1}{10}}{-13 \cdot 4\frac{1}{3} \cdot 3\frac{5}{12}}=\textcolor{white}{-\frac{3762}{34645}}$$return { ["body"] = 185, ["id"] = "GqjlOD_1020_0901", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = -0.1085870977053, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3762, ["jmenovatel"] = 34645 }, ["render"] = "\\frac{7524}{-69290}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3762}{34645}", ["y"] = -3762, ["z"] = 34645 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "19 \\cdot 1\\frac{1}{10}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 4\\frac{1}{3}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 4\\frac{1}{3} \\cdot 3\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "\\frac{19 \\cdot 1\\frac{1}{10}}{-13 \\cdot 4\\frac{1}{3} \\cdot 3\\frac{5}{12}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.97, bodu=201, $$\frac{(16 - 10)^3 + (-13)}{21 + 1\frac{3}{10} + \frac{1\frac{1}{7}}{14} + 1\frac{3}{9}}=\textcolor{white}{8\frac{19522}{34861}}$$return { ["body"] = 201, ["id"] = "SHsPEz_1020_0901", ["obtiznost"] = 1.6568, ["reseni"] = { ["float"] = 8.5599954103439, ["objekt"] = { ["hodnota"] = { ["citatel"] = 298410, ["jmenovatel"] = 34861 }, ["render"] = "\\frac{298410}{34861}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{19522}{34861}", ["x"] = 8, ["y"] = 19522, ["z"] = 34861 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "16 - 10", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(16 - 10)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(16 - 10)^3 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{14} + 1\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "1\\frac{3}{10} + \\frac{1\\frac{1}{7}}{14} + 1\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "21 + 1\\frac{3}{10} + \\frac{1\\frac{1}{7}}{14} + 1\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{(16 - 10)^3 + (-13)}{21 + 1\\frac{3}{10} + \\frac{1\\frac{1}{7}}{14} + 1\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.98, bodu=188, $$\frac{9 - (1\frac{5}{11} - 1\frac{5}{10}) + \frac{-15}{4\frac{3}{8}}}{-16}=\textcolor{white}{-\frac{865}{2464}}$$return { ["body"] = 188, ["id"] = "oqQrLz_1020_0901", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = -0.35105519480519, ["objekt"] = { ["hodnota"] = { ["citatel"] = -865, ["jmenovatel"] = 2464 }, ["render"] = "\\frac{865}{-2464}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{865}{2464}", ["y"] = -865, ["z"] = 2464 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{11} - 1\\frac{5}{10}", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{11} - 1\\frac{5}{10})", ["typ"] = "zavorka" }, ["render"] = "9 - (1\\frac{5}{11} - 1\\frac{5}{10})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{4\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "9 - (1\\frac{5}{11} - 1\\frac{5}{10}) + \\frac{-15}{4\\frac{3}{8}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{9 - (1\\frac{5}{11} - 1\\frac{5}{10}) + \\frac{-15}{4\\frac{3}{8}}}{-16}", ["typ"] = "lomeno" } }

seed: 0VEWk7nn7zWNtta5XfGn_0.99, bodu=225, $$22 \cdot (1\frac{2}{7} \cdot 1\frac{1}{7} \cdot -17 + 3\frac{1}{6} + 1\frac{1}{7} - (-15))=\textcolor{white}{-124\frac{109}{147}}$$return { ["body"] = 225, ["id"] = "z4Egsv_1020_0901", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = -124.74149659864, ["objekt"] = { ["hodnota"] = { ["citatel"] = -18337, ["jmenovatel"] = 147 }, ["render"] = "\\frac{-36674}{294}", ["typ"] = "cislo" }, ["tex"] = "-124\\frac{109}{147}", ["x"] = -124, ["y"] = 109, ["z"] = 147 }, ["seed"] = "0VEWk7nn7zWNtta5XfGn_0.99", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{7} \\cdot -17", ["typ"] = "krat" }, ["render"] = "1\\frac{2}{7} \\cdot 1\\frac{1}{7} \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + 1\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + 1\\frac{1}{7} - (-15)", ["typ"] = "minus" }, ["render"] = "1\\frac{2}{7} \\cdot 1\\frac{1}{7} \\cdot -17 + 3\\frac{1}{6} + 1\\frac{1}{7} - (-15)", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{7} \\cdot 1\\frac{1}{7} \\cdot -17 + 3\\frac{1}{6} + 1\\frac{1}{7} - (-15))", ["typ"] = "zavorka" }, ["render"] = "22 \\cdot (1\\frac{2}{7} \\cdot 1\\frac{1}{7} \\cdot -17 + 3\\frac{1}{6} + 1\\frac{1}{7} - (-15))", ["typ"] = "krat" } }

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