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Nahodny test, priklady s rostouci obtiznosti...

seed: 3C3kf2tGltcNH9UGNnle_0, bodu=5, $$8 \cdot -5 \cdot 7=\textcolor{white}{-280}$$return { ["body"] = 5, ["id"] = "cJboR4_0614_1552", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -280, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-280}{1}", ["typ"] = "cislo" }, ["tex"] = "-280", ["x"] = -280 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 7", ["typ"] = "krat" }, ["render"] = "8 \\cdot -5 \\cdot 7", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.01, bodu=5, $$7 \cdot (9 + 9) \cdot 10=\textcolor{white}{1260}$$return { ["body"] = 5, ["id"] = "QkK0SW_0614_1552", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1260, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1260}{1}", ["typ"] = "cislo" }, ["tex"] = "1260", ["x"] = 1260 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 + 9", ["typ"] = "plus" }, ["render"] = "(9 + 9)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (9 + 9)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "7 \\cdot (9 + 9) \\cdot 10", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.02, bodu=10, $$\frac{8 \cdot 9 - 2}{5}=\textcolor{white}{14}$$return { ["body"] = 10, ["id"] = "Oh9P0w_0614_1552", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{70}{5}", ["typ"] = "cislo" }, ["tex"] = "14", ["x"] = 14 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 9 - 2", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{8 \\cdot 9 - 2}{5}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.03, bodu=10, $$\frac{(\frac{8}{8})^4}{-9}=\textcolor{white}{-\frac{1}{9}}$$return { ["body"] = 10, ["id"] = "3qZ5DW_0614_1552", ["obtiznost"] = 0.0308, ["reseni"] = { ["float"] = -0.11111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 9 }, ["render"] = "\\frac{1}{-9}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{9}", ["y"] = -1, ["z"] = 9 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.03", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{8}{8})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{8}{8})^4}{-9}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.04, bodu=11, $$\frac{(\frac{-2}{8})^3}{5}=\textcolor{white}{-\frac{1}{320}}$$return { ["body"] = 11, ["id"] = "PxHzKm_0614_1552", ["obtiznost"] = 0.066, ["reseni"] = { ["float"] = -0.003125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 320 }, ["render"] = "\\frac{-1}{320}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{320}", ["y"] = -1, ["z"] = 320 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.04", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-2}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-2}{8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-2}{8})^3}{5}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.05, bodu=28, $$(\frac{5 + 10 + 7 + 5}{-6})^3=\textcolor{white}{-91{,}125}$$return { ["body"] = 28, ["id"] = "ed5QNc_0614_1552", ["obtiznost"] = 0.3448, ["reseni"] = { ["float"] = -91.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -729, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-729}{8}", ["typ"] = "cislo" }, ["tex"] = "-91\\frac{1}{8}", ["tex_float"] = "-91{,}125", ["x"] = -91, ["y"] = 1, ["z"] = 8 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.05", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "10 + 7 + 5", ["typ"] = "plus" }, ["render"] = "5 + 10 + 7 + 5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{5 + 10 + 7 + 5}{-6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{5 + 10 + 7 + 5}{-6})^3", ["typ"] = "mocnina" } }

seed: 3C3kf2tGltcNH9UGNnle_0.06, bodu=6, $$5 \cdot (4 - (9 + (-9 + 5))^3)=\textcolor{white}{-605}$$return { ["body"] = 6, ["id"] = "CXtNU8_0614_1552", ["obtiznost"] = 0.1104, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -605, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-605}{1}", ["typ"] = "cislo" }, ["tex"] = "-605", ["x"] = -605 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.06", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-9 + 5", ["typ"] = "plus" }, ["render"] = "9 + (-9 + 5)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(9 + (-9 + 5))^3", ["typ"] = "mocnina" }, ["render"] = "4 - (9 + (-9 + 5))^3", ["typ"] = "minus" }, ["render"] = "(4 - (9 + (-9 + 5))^3)", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (4 - (9 + (-9 + 5))^3)", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.07, bodu=13, $$\frac{6}{(\frac{8}{6})^3 + 6}=\textcolor{white}{\frac{81}{113}}$$return { ["body"] = 13, ["id"] = "Y7m50T_0614_1552", ["obtiznost"] = 0.1064, ["reseni"] = { ["float"] = 0.71681415929204, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 113 }, ["render"] = "\\frac{162}{226}", ["typ"] = "cislo" }, ["tex"] = "\\frac{81}{113}", ["y"] = 81, ["z"] = 113 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8}{6})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{8}{6})^3 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{6}{(\\frac{8}{6})^3 + 6}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.08, bodu=12, $$\frac{-6 + \frac{10}{7}}{7}=\textcolor{white}{-\frac{32}{49}}$$return { ["body"] = 12, ["id"] = "YJvlWy_0614_1552", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = -0.6530612244898, ["objekt"] = { ["hodnota"] = { ["citatel"] = -32, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-32}{49}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{32}{49}", ["y"] = -32, ["z"] = 49 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{7}", ["typ"] = "lomeno" }, ["render"] = "-6 + \\frac{10}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 + \\frac{10}{7}}{7}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.09, bodu=12, $$\frac{7 - 7}{3 \cdot -10}=\textcolor{white}{0}$$return { ["body"] = 12, ["id"] = "dhjDAP_0614_1552", ["obtiznost"] = 0.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{-30}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - 7", ["typ"] = "minus" }, ["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"] = "\\frac{7 - 7}{3 \\cdot -10}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.1, bodu=24, $$\frac{4\frac{2}{4}}{-7 - 3} + 7=\textcolor{white}{6{,}55}$$return { ["body"] = 24, ["id"] = "PV3vIX_0614_1552", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 6.55, ["objekt"] = { ["hodnota"] = { ["citatel"] = 131, ["jmenovatel"] = 20 }, ["render"] = "\\frac{131}{20}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{11}{20}", ["tex_float"] = "6{,}55", ["x"] = 6, ["y"] = 11, ["z"] = 20 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-7 - 3", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{2}{4}}{-7 - 3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{4}}{-7 - 3} + 7", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.11, bodu=25, $$\frac{2\frac{3}{6} + 4}{-6 + 4}=\textcolor{white}{-3{,}25}$$return { ["body"] = 25, ["id"] = "PR2ulr_0614_1552", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -3.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 4 }, ["render"] = "\\frac{13}{-4}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{1}{4}", ["tex_float"] = "-3{,}25", ["x"] = -3, ["y"] = 1, ["z"] = 4 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} + 4", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-6 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{6} + 4}{-6 + 4}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.12, bodu=13, $$10 - (7 - \frac{10}{-10})=\textcolor{white}{2}$$return { ["body"] = 13, ["id"] = "UdQZal_0614_1552", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2}{1}", ["typ"] = "cislo" }, ["tex"] = "2", ["tex_float"] = "2", ["x"] = 2 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-10}", ["typ"] = "lomeno" }, ["render"] = "7 - \\frac{10}{-10}", ["typ"] = "minus" }, ["render"] = "(7 - \\frac{10}{-10})", ["typ"] = "zavorka" }, ["render"] = "10 - (7 - \\frac{10}{-10})", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.13, bodu=27, $$\frac{9}{7} - (9 + 2\frac{2}{7})=\textcolor{white}{-10}$$return { ["body"] = 27, ["id"] = "u3l2EF_0614_1552", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-70}{7}", ["typ"] = "cislo" }, ["tex"] = "-10", ["x"] = -10 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "9 + 2\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(9 + 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{7} - (9 + 2\\frac{2}{7})", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.14, bodu=7, $$(9 + 9) \cdot -13 \cdot 5=\textcolor{white}{-1170}$$return { ["body"] = 7, ["id"] = "WcuLhs_0614_1552", ["obtiznost"] = 0.14, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1170, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1170}{1}", ["typ"] = "cislo" }, ["tex"] = "-1170", ["x"] = -1170 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.14", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 5", ["typ"] = "krat" }, ["render"] = "(9 + 9) \\cdot -13 \\cdot 5", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.15, bodu=7, $$10 \cdot 4 \cdot (6 - 8)=\textcolor{white}{-80}$$return { ["body"] = 7, ["id"] = "ouyh9J_0614_1552", ["obtiznost"] = 0.15, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -80, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-80}{1}", ["typ"] = "cislo" }, ["tex"] = "-80", ["tex_float"] = "-80", ["x"] = -80 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 - 8", ["typ"] = "minus" }, ["render"] = "(6 - 8)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot 4 \\cdot (6 - 8)", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.16, bodu=8, $$11 + ((7 - 8) \cdot -7)^2=\textcolor{white}{60}$$return { ["body"] = 8, ["id"] = "SvARsh_0614_1552", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 60, ["jmenovatel"] = 1 }, ["render"] = "\\frac{60}{1}", ["typ"] = "cislo" }, ["tex"] = "60", ["tex_float"] = "60", ["x"] = 60 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 - 8", ["typ"] = "minus" }, ["render"] = "(7 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(7 - 8) \\cdot -7", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((7 - 8) \\cdot -7)^2", ["typ"] = "mocnina" }, ["render"] = "11 + ((7 - 8) \\cdot -7)^2", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.17, bodu=8, $$-9 \cdot -9 + 5 - 5=\textcolor{white}{81}$$return { ["body"] = 8, ["id"] = "977Fku_0614_1552", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 1 }, ["render"] = "\\frac{81}{1}", ["typ"] = "cislo" }, ["tex"] = "81", ["x"] = 81 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot -9 + 5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot -9 + 5 - 5", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.18, bodu=16, $$\frac{8 - 7}{10 + 7}=\textcolor{white}{\frac{1}{17}}$$return { ["body"] = 16, ["id"] = "z9zdDc_0614_1552", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = 0.058823529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 17 }, ["render"] = "\\frac{1}{17}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{17}", ["y"] = 1, ["z"] = 17 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 - 7", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{8 - 7}{10 + 7}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.19, bodu=31, $$-7 + (-9 + 6) + 1\frac{4}{9} + 7=\textcolor{white}{-1\frac{5}{9}}$$return { ["body"] = 31, ["id"] = "py2uWJ_0614_1552", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = -1.5555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-14}{9}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{5}{9}", ["x"] = -1, ["y"] = 5, ["z"] = 9 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-9 + 6", ["typ"] = "plus" }, ["render"] = "-7 + (-9 + 6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} + 7", ["typ"] = "plus" }, ["render"] = "-7 + (-9 + 6) + 1\\frac{4}{9} + 7", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.2, bodu=32, $$10 \cdot (2\frac{4}{6} - 8) + 10 + (-8)=\textcolor{white}{-51\frac{1}{3}}$$return { ["body"] = 32, ["id"] = "ffAKzF_0614_1552", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = -51.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -154, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-154}{3}", ["typ"] = "cislo" }, ["tex"] = "-51\\frac{1}{3}", ["x"] = -51, ["y"] = 1, ["z"] = 3 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} - 8", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{6} - 8)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (2\\frac{4}{6} - 8)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "10 + (-8)", ["typ"] = "plus" }, ["render"] = "10 \\cdot (2\\frac{4}{6} - 8) + 10 + (-8)", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.21, bodu=52, $$8 + 2\frac{5}{8} + \frac{3\frac{1}{3} + (-6)}{-7}=\textcolor{white}{11\frac{1}{168}}$$return { ["body"] = 52, ["id"] = "Tfnkzw_0614_1552", ["obtiznost"] = 0.61, ["reseni"] = { ["float"] = 11.005952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1849, ["jmenovatel"] = 168 }, ["render"] = "\\frac{1849}{168}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{1}{168}", ["x"] = 11, ["y"] = 1, ["z"] = 168 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.21", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} + (-6)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{3} + (-6)}{-7}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{5}{8} + \\frac{3\\frac{1}{3} + (-6)}{-7}", ["typ"] = "plus" }, ["render"] = "8 + 2\\frac{5}{8} + \\frac{3\\frac{1}{3} + (-6)}{-7}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.22, bodu=34, $$(7 + 8) \cdot (4\frac{5}{9} + 10) - 12=\textcolor{white}{206\frac{1}{3}}$$return { ["body"] = 34, ["id"] = "OqFwO2_0614_1552", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = 206.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 619, ["jmenovatel"] = 3 }, ["render"] = "\\frac{619}{3}", ["typ"] = "cislo" }, ["tex"] = "206\\frac{1}{3}", ["x"] = 206, ["y"] = 1, ["z"] = 3 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 + 8", ["typ"] = "plus" }, ["render"] = "(7 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} + 10", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{9} + 10)", ["typ"] = "zavorka" }, ["render"] = "(7 + 8) \\cdot (4\\frac{5}{9} + 10)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(7 + 8) \\cdot (4\\frac{5}{9} + 10) - 12", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.23, bodu=19, $$\frac{-11 \cdot 11}{\frac{9}{10}}=\textcolor{white}{-134\frac{4}{9}}$$return { ["body"] = 19, ["id"] = "LzCoiM_0614_1552", ["obtiznost"] = 0.23, ["reseni"] = { ["float"] = -134.44444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1210, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-1210}{9}", ["typ"] = "cislo" }, ["tex"] = "-134\\frac{4}{9}", ["x"] = -134, ["y"] = 4, ["z"] = 9 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11 \\cdot 11}{\\frac{9}{10}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.24, bodu=56, $$(-7 \cdot 4 + (-13) + 1\frac{2}{8}) \cdot 4\frac{2}{4}=\textcolor{white}{-178{,}875}$$return { ["body"] = 56, ["id"] = "OL8L7A_0614_1552", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = -178.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1431, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-1431}{8}", ["typ"] = "cislo" }, ["tex"] = "-178\\frac{7}{8}", ["tex_float"] = "-178{,}875", ["x"] = -178, ["y"] = 7, ["z"] = 8 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.24", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 4 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 4 + (-13) + 1\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "(-7 \\cdot 4 + (-13) + 1\\frac{2}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "(-7 \\cdot 4 + (-13) + 1\\frac{2}{8}) \\cdot 4\\frac{2}{4}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.25, bodu=57, $$-10 \cdot -4 - (4\frac{2}{4} + 3\frac{4}{7} - 8)=\textcolor{white}{39\frac{13}{14}}$$return { ["body"] = 57, ["id"] = "KUFkj6_0614_1552", ["obtiznost"] = 0.65, ["reseni"] = { ["float"] = 39.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 559, ["jmenovatel"] = 14 }, ["render"] = "\\frac{559}{14}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{13}{14}", ["x"] = 39, ["y"] = 13, ["z"] = 14 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot -4", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} + 3\\frac{4}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} + 3\\frac{4}{7} - 8", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{4} + 3\\frac{4}{7} - 8)", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot -4 - (4\\frac{2}{4} + 3\\frac{4}{7} - 8)", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.26, bodu=38, $$\frac{12 + 4\frac{3}{7} + (-12)}{(\frac{8}{8})^3}=\textcolor{white}{4\frac{3}{7}}$$return { ["body"] = 38, ["id"] = "YoEJxe_0614_1552", ["obtiznost"] = 0.4608, ["reseni"] = { ["float"] = 4.4285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "\\frac{31}{7}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{3}{7}", ["x"] = 4, ["y"] = 3, ["z"] = 7 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} + (-12)", ["typ"] = "plus" }, ["render"] = "12 + 4\\frac{3}{7} + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8}{8})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{12 + 4\\frac{3}{7} + (-12)}{(\\frac{8}{8})^3}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.27, bodu=38, $$\frac{(10 + 9) \cdot (2\frac{2}{7} + (-6))}{5}=\textcolor{white}{-14\frac{4}{35}}$$return { ["body"] = 38, ["id"] = "3bVdRw_0614_1552", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = -14.114285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -494, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-494}{35}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{4}{35}", ["x"] = -14, ["y"] = 4, ["z"] = 35 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 + 9", ["typ"] = "plus" }, ["render"] = "(10 + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} + (-6)", ["typ"] = "plus" }, ["render"] = "(2\\frac{2}{7} + (-6))", ["typ"] = "zavorka" }, ["render"] = "(10 + 9) \\cdot (2\\frac{2}{7} + (-6))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{(10 + 9) \\cdot (2\\frac{2}{7} + (-6))}{5}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.28, bodu=11, $$9 \cdot (13 - 9) - 8=\textcolor{white}{28}$$return { ["body"] = 11, ["id"] = "lY1Pht_0614_1552", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 1 }, ["render"] = "\\frac{28}{1}", ["typ"] = "cislo" }, ["tex"] = "28", ["x"] = 28 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 - 9", ["typ"] = "minus" }, ["render"] = "(13 - 9)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot (13 - 9)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot (13 - 9) - 8", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.29, bodu=24, $$(\frac{8}{-4 \cdot (9 + (-11))})^4=\textcolor{white}{1}$$return { ["body"] = 24, ["id"] = "SGuEmx_0614_1552", ["obtiznost"] = 0.2908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1}{1}", ["typ"] = "cislo" }, ["tex"] = "1", ["x"] = 1 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.29", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["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"] = "plus" }, ["render"] = "(9 + (-11))", ["typ"] = "zavorka" }, ["render"] = "-4 \\cdot (9 + (-11))", ["typ"] = "krat" }, ["render"] = "\\frac{8}{-4 \\cdot (9 + (-11))}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{8}{-4 \\cdot (9 + (-11))})^4", ["typ"] = "mocnina" } }

seed: 3C3kf2tGltcNH9UGNnle_0.3, bodu=41, $$2\frac{3}{8} \cdot 4 \cdot -6 \cdot 13=\textcolor{white}{-741}$$return { ["body"] = 41, ["id"] = "Wwn7o4_0614_1552", ["obtiznost"] = 0.5, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -741, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1482}{2}", ["typ"] = "cislo" }, ["tex"] = "-741", ["x"] = -741 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 13", ["typ"] = "krat" }, ["render"] = "2\\frac{3}{8} \\cdot 4 \\cdot -6 \\cdot 13", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.31, bodu=25, $$\frac{8}{-13} + \frac{-4}{14}=\textcolor{white}{-\frac{82}{91}}$$return { ["body"] = 25, ["id"] = "mQk8H7_0614_1552", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -0.9010989010989, ["objekt"] = { ["hodnota"] = { ["citatel"] = -82, ["jmenovatel"] = 91 }, ["render"] = "\\frac{-82}{91}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{82}{91}", ["y"] = -82, ["z"] = 91 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{14}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8}{-13} + \\frac{-4}{14}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.32, bodu=26, $$\frac{10}{9} + 13 \cdot -13=\textcolor{white}{-167\frac{8}{9}}$$return { ["body"] = 26, ["id"] = "yq8W8e_0614_1552", ["obtiznost"] = 0.32, ["reseni"] = { ["float"] = -167.88888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1511, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-1511}{9}", ["typ"] = "cislo" }, ["tex"] = "-167\\frac{8}{9}", ["x"] = -167, ["y"] = 8, ["z"] = 9 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -13", ["typ"] = "krat" }, ["render"] = "\\frac{10}{9} + 13 \\cdot -13", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.33, bodu=27, $$\frac{-9 \cdot 10}{4 + 5}=\textcolor{white}{-10}$$return { ["body"] = 27, ["id"] = "zqU5xk_0614_1552", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-90}{9}", ["typ"] = "cislo" }, ["tex"] = "-10", ["x"] = -10 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{-9 \\cdot 10}{4 + 5}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.34, bodu=27, $$9 \cdot \frac{-11}{\frac{-8}{-10}}=\textcolor{white}{-123{,}75}$$return { ["body"] = 27, ["id"] = "VrTxjZ_0614_1552", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = -123.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -495, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-495}{4}", ["typ"] = "cislo" }, ["tex"] = "-123\\frac{3}{4}", ["tex_float"] = "-123{,}75", ["x"] = -123, ["y"] = 3, ["z"] = 4 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11}{\\frac{-8}{-10}}", ["typ"] = "lomeno" }, ["render"] = "9 \\cdot \\frac{-11}{\\frac{-8}{-10}}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.35, bodu=46, $$3 \cdot \frac{13 - (9 + 8)}{1\frac{1}{6}}=\textcolor{white}{-10\frac{2}{7}}$$return { ["body"] = 46, ["id"] = "fxWXp1_0614_1552", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = -10.285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -72, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-72}{7}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{2}{7}", ["x"] = -10, ["y"] = 2, ["z"] = 7 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "(9 + 8)", ["typ"] = "zavorka" }, ["render"] = "13 - (9 + 8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{13 - (9 + 8)}{1\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "3 \\cdot \\frac{13 - (9 + 8)}{1\\frac{1}{6}}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.36, bodu=69, $$\frac{3\frac{1}{7} - \frac{4\frac{1}{6}}{8}}{-8}=\textcolor{white}{-\frac{881}{2688}}$$return { ["body"] = 69, ["id"] = "voMDvg_0614_1552", ["obtiznost"] = 0.76, ["reseni"] = { ["float"] = -0.32775297619048, ["objekt"] = { ["hodnota"] = { ["citatel"] = -881, ["jmenovatel"] = 2688 }, ["render"] = "\\frac{881}{-2688}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{881}{2688}", ["y"] = -881, ["z"] = 2688 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6}}{8}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{7} - \\frac{4\\frac{1}{6}}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{7} - \\frac{4\\frac{1}{6}}{8}}{-8}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.37, bodu=48, $$-5 \cdot \frac{6 \cdot 8}{2\frac{5}{7}}=\textcolor{white}{-88\frac{8}{19}}$$return { ["body"] = 48, ["id"] = "SJZKGC_0614_1552", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = -88.421052631579, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1680, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-1680}{19}", ["typ"] = "cislo" }, ["tex"] = "-88\\frac{8}{19}", ["x"] = -88, ["y"] = 8, ["z"] = 19 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{6 \\cdot 8}{2\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "-5 \\cdot \\frac{6 \\cdot 8}{2\\frac{5}{7}}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.38, bodu=41, $$\frac{10}{(\frac{-7}{3} - (-8))^2}=\textcolor{white}{\frac{90}{289}}$$return { ["body"] = 41, ["id"] = "xpL44c_0614_1552", ["obtiznost"] = 0.4992, ["reseni"] = { ["float"] = 0.31141868512111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 90, ["jmenovatel"] = 289 }, ["render"] = "\\frac{90}{289}", ["typ"] = "cislo" }, ["tex"] = "\\frac{90}{289}", ["y"] = 90, ["z"] = 289 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{3} - (-8)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-7}{3} - (-8))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{10}{(\\frac{-7}{3} - (-8))^2}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.39, bodu=50, $$(-14 - 4\frac{2}{6}) \cdot (13 \cdot -9 + (-10))=\textcolor{white}{2328\frac{1}{3}}$$return { ["body"] = 50, ["id"] = "2XJ4wm_0614_1552", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = 2328.3333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6985, ["jmenovatel"] = 3 }, ["render"] = "\\frac{6985}{3}", ["typ"] = "cislo" }, ["tex"] = "2328\\frac{1}{3}", ["x"] = 2328, ["y"] = 1, ["z"] = 3 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.39", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-14 - 4\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(-14 - 4\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -9 + (-10)", ["typ"] = "plus" }, ["render"] = "(13 \\cdot -9 + (-10))", ["typ"] = "zavorka" }, ["render"] = "(-14 - 4\\frac{2}{6}) \\cdot (13 \\cdot -9 + (-10))", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.4, bodu=16, $$(-4 + (-14)) \cdot (7 - (9 \cdot -11 + (-11)))=\textcolor{white}{-2106}$$return { ["body"] = 16, ["id"] = "W8jjR5_0614_1552", ["obtiznost"] = 0.4, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2106, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-2106}{1}", ["typ"] = "cislo" }, ["tex"] = "-2106", ["x"] = -2106 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.4", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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"] = "(-4 + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -11 + (-11)", ["typ"] = "plus" }, ["render"] = "(9 \\cdot -11 + (-11))", ["typ"] = "zavorka" }, ["render"] = "7 - (9 \\cdot -11 + (-11))", ["typ"] = "minus" }, ["render"] = "(7 - (9 \\cdot -11 + (-11)))", ["typ"] = "zavorka" }, ["render"] = "(-4 + (-14)) \\cdot (7 - (9 \\cdot -11 + (-11)))", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.41, bodu=52, $$12 - 4\frac{2}{8} - 9 \cdot \frac{15}{-9}=\textcolor{white}{22{,}75}$$return { ["body"] = 52, ["id"] = "yKWnQo_0614_1552", ["obtiznost"] = 0.61, ["reseni"] = { ["float"] = 22.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 91, ["jmenovatel"] = 4 }, ["render"] = "\\frac{91}{4}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{3}{4}", ["tex_float"] = "22{,}75", ["x"] = 22, ["y"] = 3, ["z"] = 4 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "12 - 4\\frac{2}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-9}", ["typ"] = "lomeno" }, ["render"] = "9 \\cdot \\frac{15}{-9}", ["typ"] = "krat" }, ["render"] = "12 - 4\\frac{2}{8} - 9 \\cdot \\frac{15}{-9}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.42, bodu=75, $$11 \cdot ((\frac{3\frac{1}{5}}{3})^2 + 12 - 9)=\textcolor{white}{45\frac{116}{225}}$$return { ["body"] = 75, ["id"] = "p4Snbk_0614_1552", ["obtiznost"] = 0.8124, ["reseni"] = { ["float"] = 45.515555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10241, ["jmenovatel"] = 225 }, ["render"] = "\\frac{10241}{225}", ["typ"] = "cislo" }, ["tex"] = "45\\frac{116}{225}", ["x"] = 45, ["y"] = 116, ["z"] = 225 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{5}}{3}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{1}{5}}{3})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(\\frac{3\\frac{1}{5}}{3})^2 + 12", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(\\frac{3\\frac{1}{5}}{3})^2 + 12 - 9", ["typ"] = "minus" }, ["render"] = "((\\frac{3\\frac{1}{5}}{3})^2 + 12 - 9)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot ((\\frac{3\\frac{1}{5}}{3})^2 + 12 - 9)", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.43, bodu=55, $$\frac{1\frac{5}{8} \cdot 8 \cdot 12}{-8}=\textcolor{white}{-19{,}5}$$return { ["body"] = 55, ["id"] = "cspSlm_0614_1552", ["obtiznost"] = 0.63, ["reseni"] = { ["float"] = -19.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -39, ["jmenovatel"] = 2 }, ["render"] = "\\frac{156}{-8}", ["typ"] = "cislo" }, ["tex"] = "-19\\frac{1}{2}", ["tex_float"] = "-19{,}5", ["x"] = -19, ["y"] = 1, ["z"] = 2 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 12", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{8} \\cdot 8 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{8} \\cdot 8 \\cdot 12}{-8}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.44, bodu=18, $$(9 + (-8 - 10) \cdot 15) \cdot 13=\textcolor{white}{-3393}$$return { ["body"] = 18, ["id"] = "Hns0bK_0614_1552", ["obtiznost"] = 0.44, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -3393, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-3393}{1}", ["typ"] = "cislo" }, ["tex"] = "-3393", ["x"] = -3393 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.44", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-8 - 10", ["typ"] = "minus" }, ["render"] = "(-8 - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "(-8 - 10) \\cdot 15", ["typ"] = "krat" }, ["render"] = "9 + (-8 - 10) \\cdot 15", ["typ"] = "plus" }, ["render"] = "(9 + (-8 - 10) \\cdot 15)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(9 + (-8 - 10) \\cdot 15) \\cdot 13", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.45, bodu=80, $$\frac{3 + 2\frac{5}{6} + 1\frac{1}{4}}{10 \cdot 15}=\textcolor{white}{\frac{17}{360}}$$return { ["body"] = 80, ["id"] = "pcRdo0_0614_1552", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 0.047222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 360 }, ["render"] = "\\frac{85}{1800}", ["typ"] = "cislo" }, ["tex"] = "\\frac{17}{360}", ["y"] = 17, ["z"] = 360 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{6} + 1\\frac{1}{4}", ["typ"] = "plus" }, ["render"] = "3 + 2\\frac{5}{6} + 1\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 15", ["typ"] = "krat" }, ["render"] = "\\frac{3 + 2\\frac{5}{6} + 1\\frac{1}{4}}{10 \\cdot 15}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.46, bodu=108, $$((1\frac{4}{10} - 11 - (-10)) \cdot 11)^2 - 1\frac{1}{7}=\textcolor{white}{18\frac{38}{175}}$$return { ["body"] = 108, ["id"] = "LSKbbu_0614_1552", ["obtiznost"] = 1.0636, ["reseni"] = { ["float"] = 18.217142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3188, ["jmenovatel"] = 175 }, ["render"] = "\\frac{3188}{175}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{38}{175}", ["x"] = 18, ["y"] = 38, ["z"] = 175 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.46", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} - 11 - (-10)", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{10} - 11 - (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{10} - 11 - (-10)) \\cdot 11", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((1\\frac{4}{10} - 11 - (-10)) \\cdot 11)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "((1\\frac{4}{10} - 11 - (-10)) \\cdot 11)^2 - 1\\frac{1}{7}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.47, bodu=60, $$(8 - 12)^2 - \frac{9}{\frac{7}{3\frac{4}{10}}}=\textcolor{white}{11\frac{22}{35}}$$return { ["body"] = 60, ["id"] = "XSAHqi_0614_1552", ["obtiznost"] = 0.6768, ["reseni"] = { ["float"] = 11.628571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 407, ["jmenovatel"] = 35 }, ["render"] = "\\frac{407}{35}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{22}{35}", ["x"] = 11, ["y"] = 22, ["z"] = 35 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.47", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{3\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{9}{\\frac{7}{3\\frac{4}{10}}}", ["typ"] = "lomeno" }, ["render"] = "(8 - 12)^2 - \\frac{9}{\\frac{7}{3\\frac{4}{10}}}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.48, bodu=42, $$\frac{16}{(\frac{-14}{-6})^2 \cdot 2\frac{1}{1}}=\textcolor{white}{\frac{48}{49}}$$return { ["body"] = 42, ["id"] = "yVdbOf_0614_1552", ["obtiznost"] = 0.5032, ["reseni"] = { ["float"] = 0.97959183673469, ["objekt"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 49 }, ["render"] = "\\frac{48}{49}", ["typ"] = "cislo" }, ["tex"] = "\\frac{48}{49}", ["y"] = 48, ["z"] = 49 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.48", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{-6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-14}{-6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{1}{1}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{-6})^2 \\cdot 2\\frac{1}{1}", ["typ"] = "krat" }, ["render"] = "\\frac{16}{(\\frac{-14}{-6})^2 \\cdot 2\\frac{1}{1}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.49, bodu=61, $$17 + 1\frac{5}{7} - 13 \cdot 11 \cdot -4=\textcolor{white}{590\frac{5}{7}}$$return { ["body"] = 61, ["id"] = "sqlh47_0614_1552", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = 590.71428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4135, ["jmenovatel"] = 7 }, ["render"] = "\\frac{4135}{7}", ["typ"] = "cislo" }, ["tex"] = "590\\frac{5}{7}", ["x"] = 590, ["y"] = 5, ["z"] = 7 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.49", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -4", ["typ"] = "krat" }, ["render"] = "13 \\cdot 11 \\cdot -4", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{7} - 13 \\cdot 11 \\cdot -4", ["typ"] = "minus" }, ["render"] = "17 + 1\\frac{5}{7} - 13 \\cdot 11 \\cdot -4", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.5, bodu=91, $$\frac{1\frac{5}{13}}{(-9 + 4\frac{5}{10})^2} + 11 \cdot -9=\textcolor{white}{-98\frac{109}{117}}$$return { ["body"] = 91, ["id"] = "QaApmw_0614_1552", ["obtiznost"] = 0.934, ["reseni"] = { ["float"] = -98.931623931624, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11575, ["jmenovatel"] = 117 }, ["render"] = "\\frac{-11575}{117}", ["typ"] = "cislo" }, ["tex"] = "-98\\frac{109}{117}", ["x"] = -98, ["y"] = 109, ["z"] = 117 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-9 + 4\\frac{5}{10}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 4\\frac{5}{10})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{1\\frac{5}{13}}{(-9 + 4\\frac{5}{10})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -9", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{5}{13}}{(-9 + 4\\frac{5}{10})^2} + 11 \\cdot -9", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.51, bodu=92, $$3\frac{4}{8} + (-13 \cdot 3\frac{3}{6} \cdot (4\frac{5}{5} + (-8))^4)=\textcolor{white}{-3682}$$return { ["body"] = 92, ["id"] = "lysiM1_0614_1552", ["obtiznost"] = 0.9428, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -3682, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-7364}{2}", ["typ"] = "cislo" }, ["tex"] = "-3682", ["tex_float"] = "-3682", ["x"] = -3682 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.51", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 3\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "4\\frac{5}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{5} + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(4\\frac{5}{5} + (-8))^4", ["typ"] = "mocnina" }, ["render"] = "-13 \\cdot 3\\frac{3}{6} \\cdot (4\\frac{5}{5} + (-8))^4", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{8} + (-13 \\cdot 3\\frac{3}{6} \\cdot (4\\frac{5}{5} + (-8))^4)", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.52, bodu=66, $$\frac{(-14 - 9)^2 \cdot 11}{-16 + 10 + (-10)}=\textcolor{white}{-363\frac{11}{16}}$$return { ["body"] = 66, ["id"] = "OKO0Z7_0614_1552", ["obtiznost"] = 0.732, ["reseni"] = { ["float"] = -363.6875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5819, ["jmenovatel"] = 16 }, ["render"] = "\\frac{5819}{-16}", ["typ"] = "cislo" }, ["tex"] = "-363\\frac{11}{16}", ["x"] = -363, ["y"] = 11, ["z"] = 16 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-14 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-14 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(-14 - 9)^2 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-16 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-16 + 10 + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{(-14 - 9)^2 \\cdot 11}{-16 + 10 + (-10)}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.53, bodu=98, $$\frac{7 - 4\frac{4}{11}}{((15 + (-10))^2 + 4 + (-4))^2 + (-9)}=\textcolor{white}{\frac{29}{6776}}$$return { ["body"] = 98, ["id"] = "1qqwIO_0614_1552", ["obtiznost"] = 0.9908, ["reseni"] = { ["float"] = 0.0042798110979929, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6776 }, ["render"] = "\\frac{29}{6776}", ["typ"] = "cislo" }, ["tex"] = "\\frac{29}{6776}", ["y"] = 29, ["z"] = 6776 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "7 - 4\\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "15 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(15 + (-10))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "4 + (-4)", ["typ"] = "plus" }, ["render"] = "(15 + (-10))^2 + 4 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "((15 + (-10))^2 + 4 + (-4))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "((15 + (-10))^2 + 4 + (-4))^2 + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{7 - 4\\frac{4}{11}}{((15 + (-10))^2 + 4 + (-4))^2 + (-9)}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.54, bodu=119, $$\frac{4\frac{1}{3}}{4\frac{5}{9}} \cdot (-4 - (3\frac{4}{9} + 4))=\textcolor{white}{-10\frac{109}{123}}$$return { ["body"] = 119, ["id"] = "IwiTew_0614_1552", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -10.886178861789, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1339, ["jmenovatel"] = 123 }, ["render"] = "\\frac{-4017}{369}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{109}{123}", ["x"] = -10, ["y"] = 109, ["z"] = 123 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{3}}{4\\frac{5}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + 4", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{9} + 4)", ["typ"] = "zavorka" }, ["render"] = "-4 - (3\\frac{4}{9} + 4)", ["typ"] = "minus" }, ["render"] = "(-4 - (3\\frac{4}{9} + 4))", ["typ"] = "zavorka" }, ["render"] = "\\frac{4\\frac{1}{3}}{4\\frac{5}{9}} \\cdot (-4 - (3\\frac{4}{9} + 4))", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.55, bodu=46, $$\frac{-10 + 8 + (-9 \cdot 9)}{-11}=\textcolor{white}{7\frac{6}{11}}$$return { ["body"] = 46, ["id"] = "3vrsw2_0614_1552", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = 7.5454545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 83, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-83}{-11}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{6}{11}", ["x"] = 7, ["y"] = 6, ["z"] = 11 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 9", ["typ"] = "krat" }, ["render"] = "8 + (-9 \\cdot 9)", ["typ"] = "plus" }, ["render"] = "-10 + 8 + (-9 \\cdot 9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 + 8 + (-9 \\cdot 9)}{-11}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.56, bodu=47, $$\frac{-12}{13} - (-6 + \frac{-13}{-11})=\textcolor{white}{3\frac{128}{143}}$$return { ["body"] = 47, ["id"] = "AP4fVm_0614_1552", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 3.8951048951049, ["objekt"] = { ["hodnota"] = { ["citatel"] = 557, ["jmenovatel"] = 143 }, ["render"] = "\\frac{557}{143}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{128}{143}", ["x"] = 3, ["y"] = 128, ["z"] = 143 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-11}", ["typ"] = "lomeno" }, ["render"] = "-6 + \\frac{-13}{-11}", ["typ"] = "plus" }, ["render"] = "(-6 + \\frac{-13}{-11})", ["typ"] = "zavorka" }, ["render"] = "\\frac{-12}{13} - (-6 + \\frac{-13}{-11})", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.57, bodu=70, $$13 \cdot (18 - 11 \cdot 3\frac{1}{7}) - 5=\textcolor{white}{-220\frac{3}{7}}$$return { ["body"] = 70, ["id"] = "UYt6gH_0614_1552", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = -220.42857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1543, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-1543}{7}", ["typ"] = "cislo" }, ["tex"] = "-220\\frac{3}{7}", ["x"] = -220, ["y"] = 3, ["z"] = 7 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 3\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "18 - 11 \\cdot 3\\frac{1}{7}", ["typ"] = "minus" }, ["render"] = "(18 - 11 \\cdot 3\\frac{1}{7})", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (18 - 11 \\cdot 3\\frac{1}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "13 \\cdot (18 - 11 \\cdot 3\\frac{1}{7}) - 5", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.58, bodu=71, $$\frac{1\frac{3}{5}}{17} \cdot -8 \cdot 9=\textcolor{white}{-6\frac{66}{85}}$$return { ["body"] = 71, ["id"] = "SONm80_0614_1552", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -6.7764705882353, ["objekt"] = { ["hodnota"] = { ["citatel"] = -576, ["jmenovatel"] = 85 }, ["render"] = "\\frac{-576}{85}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{66}{85}", ["x"] = -6, ["y"] = 66, ["z"] = 85 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{5}}{17}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{3}{5}}{17} \\cdot -8 \\cdot 9", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.59, bodu=77, $$\frac{\frac{10}{(\frac{8 - 3\frac{4}{12}}{-14})^4}}{9}=\textcolor{white}{90}$$return { ["body"] = 77, ["id"] = "pl0OQc_0614_1552", ["obtiznost"] = 0.8228, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 90, ["jmenovatel"] = 1 }, ["render"] = "\\frac{810}{9}", ["typ"] = "cislo" }, ["tex"] = "90", ["x"] = 90 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "8 - 3\\frac{4}{12}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{8 - 3\\frac{4}{12}}{-14}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{8 - 3\\frac{4}{12}}{-14})^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{10}{(\\frac{8 - 3\\frac{4}{12}}{-14})^4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{10}{(\\frac{8 - 3\\frac{4}{12}}{-14})^4}}{9}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.6, bodu=114, $$\frac{1\frac{5}{9}}{(-12 - (-16))^4 \cdot 1\frac{4}{8} - 10}=\textcolor{white}{\frac{7}{1683}}$$return { ["body"] = 114, ["id"] = "3V5lVu_0614_1552", ["obtiznost"] = 1.1028, ["reseni"] = { ["float"] = 0.0041592394533571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1683 }, ["render"] = "\\frac{14}{3366}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{1683}", ["y"] = 7, ["z"] = 1683 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.6", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-12 - (-16)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-12 - (-16))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "(-12 - (-16))^4 \\cdot 1\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(-12 - (-16))^4 \\cdot 1\\frac{4}{8} - 10", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{5}{9}}{(-12 - (-16))^4 \\cdot 1\\frac{4}{8} - 10}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.61, bodu=75, $$-13 - \frac{1\frac{3}{7} \cdot -16 - 15}{8}=\textcolor{white}{-8\frac{15}{56}}$$return { ["body"] = 75, ["id"] = "AyNrgG_0614_1552", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -8.2678571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -463, ["jmenovatel"] = 56 }, ["render"] = "\\frac{-463}{56}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{15}{56}", ["x"] = -8, ["y"] = 15, ["z"] = 56 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.61", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{7} \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{7} \\cdot -16 - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7} \\cdot -16 - 15}{8}", ["typ"] = "lomeno" }, ["render"] = "-13 - \\frac{1\\frac{3}{7} \\cdot -16 - 15}{8}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.62, bodu=76, $$\frac{5 \cdot 2\frac{3}{11} \cdot -14}{7 + 15}=\textcolor{white}{-7\frac{28}{121}}$$return { ["body"] = 76, ["id"] = "rZovRN_0614_1552", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = -7.2314049586777, ["objekt"] = { ["hodnota"] = { ["citatel"] = -875, ["jmenovatel"] = 121 }, ["render"] = "\\frac{-1750}{242}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{28}{121}", ["x"] = -7, ["y"] = 28, ["z"] = 121 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} \\cdot -14", ["typ"] = "krat" }, ["render"] = "5 \\cdot 2\\frac{3}{11} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "7 + 15", ["typ"] = "plus" }, ["render"] = "\\frac{5 \\cdot 2\\frac{3}{11} \\cdot -14}{7 + 15}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.63, bodu=132, $$9 - \frac{2\frac{4}{8}}{-8} + \frac{1\frac{3}{9}}{4\frac{5}{9}} + 10=\textcolor{white}{19\frac{397}{656}}$$return { ["body"] = 132, ["id"] = "dKovar_0614_1552", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 19.605182926829, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12861, ["jmenovatel"] = 656 }, ["render"] = "\\frac{12861}{656}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{397}{656}", ["x"] = 19, ["y"] = 397, ["z"] = 656 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{8}}{-8}", ["typ"] = "lomeno" }, ["render"] = "9 - \\frac{2\\frac{4}{8}}{-8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{4\\frac{5}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{4\\frac{5}{9}} + 10", ["typ"] = "plus" }, ["render"] = "9 - \\frac{2\\frac{4}{8}}{-8} + \\frac{1\\frac{3}{9}}{4\\frac{5}{9}} + 10", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.64, bodu=79, $$\frac{9 - \frac{-4}{-11} \cdot 2\frac{5}{11}}{-13}=\textcolor{white}{-\frac{981}{1573}}$$return { ["body"] = 79, ["id"] = "Itmli3_0614_1552", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = -0.62364907819453, ["objekt"] = { ["hodnota"] = { ["citatel"] = -981, ["jmenovatel"] = 1573 }, ["render"] = "\\frac{981}{-1573}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{981}{1573}", ["y"] = -981, ["z"] = 1573 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{-11} \\cdot 2\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "9 - \\frac{-4}{-11} \\cdot 2\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{9 - \\frac{-4}{-11} \\cdot 2\\frac{5}{11}}{-13}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.65, bodu=114, $$\frac{3\frac{4}{10} \cdot -12}{4\frac{4}{10} \cdot (\frac{-8}{-9})^2}=\textcolor{white}{-11\frac{259}{352}}$$return { ["body"] = 114, ["id"] = "PVTYHt_0614_1552", ["obtiznost"] = 1.108, ["reseni"] = { ["float"] = -11.735795454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4131, ["jmenovatel"] = 352 }, ["render"] = "\\frac{-82620}{7040}", ["typ"] = "cislo" }, ["tex"] = "-11\\frac{259}{352}", ["x"] = -11, ["y"] = 259, ["z"] = 352 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-8}{-9})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{10} \\cdot (\\frac{-8}{-9})^2", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{4}{10} \\cdot -12}{4\\frac{4}{10} \\cdot (\\frac{-8}{-9})^2}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.66, bodu=108, $$\frac{\frac{2\frac{5}{8} + (-7) - 4\frac{2}{6} \cdot 10}{14}}{-19}=\textcolor{white}{\frac{1145}{6384}}$$return { ["body"] = 108, ["id"] = "qrpVAT_0614_1552", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.17935463659148, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1145, ["jmenovatel"] = 6384 }, ["render"] = "\\frac{-1145}{-6384}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1145}{6384}", ["y"] = 1145, ["z"] = 6384 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{8} + (-7)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{6} \\cdot 10", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{8} + (-7) - 4\\frac{2}{6} \\cdot 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{8} + (-7) - 4\\frac{2}{6} \\cdot 10}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{8} + (-7) - 4\\frac{2}{6} \\cdot 10}{14}}{-19}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.67, bodu=113, $$3 \cdot 3\frac{3}{7} \cdot -8 \cdot (19 + 5)^2=\textcolor{white}{-47396\frac{4}{7}}$$return { ["body"] = 113, ["id"] = "vgl89y_0614_1552", ["obtiznost"] = 1.1008, ["reseni"] = { ["float"] = -47396.571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -331776, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-331776}{7}", ["typ"] = "cislo" }, ["tex"] = "-47396\\frac{4}{7}", ["x"] = -47396, ["y"] = 4, ["z"] = 7 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} \\cdot -8", ["typ"] = "krat" }, ["render"] = "3 \\cdot 3\\frac{3}{7} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "19 + 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(19 + 5)^2", ["typ"] = "mocnina" }, ["render"] = "3 \\cdot 3\\frac{3}{7} \\cdot -8 \\cdot (19 + 5)^2", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.68, bodu=96, $$\frac{(13 - 4)^3 - (12 - (-17) + (-4))}{-16}=\textcolor{white}{-44}$$return { ["body"] = 96, ["id"] = "ekHMeZ_0614_1552", ["obtiznost"] = 0.972, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -44, ["jmenovatel"] = 1 }, ["render"] = "\\frac{704}{-16}", ["typ"] = "cislo" }, ["tex"] = "-44", ["x"] = -44 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "13 - 4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(13 - 4)^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "12 - (-17)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "12 - (-17) + (-4)", ["typ"] = "plus" }, ["render"] = "(12 - (-17) + (-4))", ["typ"] = "zavorka" }, ["render"] = "(13 - 4)^3 - (12 - (-17) + (-4))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{(13 - 4)^3 - (12 - (-17) + (-4))}{-16}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.69, bodu=85, $$\frac{15}{(1\frac{4}{11} + (-11)) \cdot 7 \cdot -8}=\textcolor{white}{\frac{165}{5936}}$$return { ["body"] = 85, ["id"] = "2CGd7w_0614_1552", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = 0.027796495956873, ["objekt"] = { ["hodnota"] = { ["citatel"] = 165, ["jmenovatel"] = 5936 }, ["render"] = "\\frac{165}{5936}", ["typ"] = "cislo" }, ["tex"] = "\\frac{165}{5936}", ["y"] = 165, ["z"] = 5936 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.69", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} + (-11)", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{11} + (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{11} + (-11)) \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{11} + (-11)) \\cdot 7 \\cdot -8", ["typ"] = "krat" }, ["render"] = "\\frac{15}{(1\\frac{4}{11} + (-11)) \\cdot 7 \\cdot -8}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.7, bodu=178, $$\frac{(9 - (5 + (-19)))^2}{4\frac{5}{11}} \cdot (\frac{1\frac{2}{4}}{-12})^3=\textcolor{white}{-\frac{5819}{25088}}$$return { ["body"] = 178, ["id"] = "A31vwk_0614_1552", ["obtiznost"] = 1.5172, ["reseni"] = { ["float"] = -0.23194355867347, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5819, ["jmenovatel"] = 25088 }, ["render"] = "\\frac{-5819}{25088}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5819}{25088}", ["y"] = -5819, ["z"] = 25088 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "5 + (-19)", ["typ"] = "plus" }, ["render"] = "(5 + (-19))", ["typ"] = "zavorka" }, ["render"] = "9 - (5 + (-19))", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - (5 + (-19)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{(9 - (5 + (-19)))^2}{4\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{4}}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{1\\frac{2}{4}}{-12})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{(9 - (5 + (-19)))^2}{4\\frac{5}{11}} \\cdot (\\frac{1\\frac{2}{4}}{-12})^3", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.71, bodu=156, $$\frac{3\frac{1}{6}}{4\frac{2}{4} \cdot 2\frac{4}{7}} - (\frac{-4}{-13})^2=\textcolor{white}{\frac{14701}{82134}}$$return { ["body"] = 156, ["id"] = "gsKFNO_0614_1552", ["obtiznost"] = 1.384, ["reseni"] = { ["float"] = 0.17898799522731, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14701, ["jmenovatel"] = 82134 }, ["render"] = "\\frac{14701}{82134}", ["typ"] = "cislo" }, ["tex"] = "\\frac{14701}{82134}", ["y"] = 14701, ["z"] = 82134 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} \\cdot 2\\frac{4}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{1}{6}}{4\\frac{2}{4} \\cdot 2\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{-13}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-4}{-13})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{1}{6}}{4\\frac{2}{4} \\cdot 2\\frac{4}{7}} - (\\frac{-4}{-13})^2", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.72, bodu=146, $$(3\frac{4}{13} + (-14 - 8) \cdot -6) \cdot 3\frac{5}{13} \cdot 4\frac{5}{11}=\textcolor{white}{2040\frac{4}{169}}$$return { ["body"] = 146, ["id"] = "ZVlRGM_0614_1552", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 2040.0236686391, ["objekt"] = { ["hodnota"] = { ["citatel"] = 344764, ["jmenovatel"] = 169 }, ["render"] = "\\frac{344764}{169}", ["typ"] = "cislo" }, ["tex"] = "2040\\frac{4}{169}", ["x"] = 2040, ["y"] = 4, ["z"] = 169 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.72", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-14 - 8", ["typ"] = "minus" }, ["render"] = "(-14 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(-14 - 8) \\cdot -6", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{13} + (-14 - 8) \\cdot -6", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{13} + (-14 - 8) \\cdot -6)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{13} \\cdot 4\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "(3\\frac{4}{13} + (-14 - 8) \\cdot -6) \\cdot 3\\frac{5}{13} \\cdot 4\\frac{5}{11}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.73, bodu=130, $$\frac{\frac{3\frac{1}{6}}{-16}}{\frac{2\frac{4}{10}}{(8 + (-14))^3}}=\textcolor{white}{17\frac{13}{16}}$$return { ["body"] = 130, ["id"] = "QR3UqB_0614_1552", ["obtiznost"] = 1.2168, ["reseni"] = { ["float"] = 17.8125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 285, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-1710}{-96}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{13}{16}", ["x"] = 17, ["y"] = 13, ["z"] = 16 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{6}}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "8 + (-14)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(8 + (-14))^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{4}{10}}{(8 + (-14))^3}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{3\\frac{1}{6}}{-16}}{\\frac{2\\frac{4}{10}}{(8 + (-14))^3}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.74, bodu=119, $$\frac{-12 \cdot 4 \cdot 1\frac{5}{11} + (-13)}{4\frac{4}{7}}=\textcolor{white}{-18\frac{41}{352}}$$return { ["body"] = 119, ["id"] = "Vx2PXN_0614_1552", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -18.116477272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6377, ["jmenovatel"] = 352 }, ["render"] = "\\frac{-6377}{352}", ["typ"] = "cislo" }, ["tex"] = "-18\\frac{41}{352}", ["x"] = -18, ["y"] = 41, ["z"] = 352 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 4 \\cdot 1\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 4 \\cdot 1\\frac{5}{11} + (-13)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 \\cdot 4 \\cdot 1\\frac{5}{11} + (-13)}{4\\frac{4}{7}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.75, bodu=186, $$\frac{-11 - 12 + 4\frac{5}{11}}{\frac{(4\frac{4}{12} + (-12))^2}{3\frac{1}{10}}}=\textcolor{white}{-\frac{28458}{29095}}$$return { ["body"] = 186, ["id"] = "LVhuJL_0614_1552", ["obtiznost"] = 1.5652, ["reseni"] = { ["float"] = -0.97810620381509, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28458, ["jmenovatel"] = 29095 }, ["render"] = "\\frac{-56916}{58190}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{28458}{29095}", ["y"] = -28458, ["z"] = 29095 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 - 12", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-11 - 12 + 4\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{12} + (-12)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{4}{12} + (-12))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(4\\frac{4}{12} + (-12))^2}{3\\frac{1}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11 - 12 + 4\\frac{5}{11}}{\\frac{(4\\frac{4}{12} + (-12))^2}{3\\frac{1}{10}}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.76, bodu=94, $$\frac{13 - (-16)}{(\frac{4\frac{3}{7}}{-10} + 4) \cdot -14}=\textcolor{white}{-\frac{145}{249}}$$return { ["body"] = 94, ["id"] = "SQYpJp_0614_1552", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = -0.58232931726908, ["objekt"] = { ["hodnota"] = { ["citatel"] = -145, ["jmenovatel"] = 249 }, ["render"] = "\\frac{145}{-249}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{145}{249}", ["y"] = -145, ["z"] = 249 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "13 - (-16)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7}}{-10} + 4", ["typ"] = "plus" }, ["render"] = "(\\frac{4\\frac{3}{7}}{-10} + 4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(\\frac{4\\frac{3}{7}}{-10} + 4) \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{13 - (-16)}{(\\frac{4\\frac{3}{7}}{-10} + 4) \\cdot -14}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.77, bodu=221, $$-11 - (3\frac{4}{6} + (-17 \cdot 1\frac{3}{8}) + 4\frac{4}{8} + 2\frac{2}{8} - 4\frac{3}{8})=\textcolor{white}{6\frac{1}{3}}$$return { ["body"] = 221, ["id"] = "fxGvXd_0614_1552", ["obtiznost"] = 1.77, ["reseni"] = { ["float"] = 6.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 3 }, ["render"] = "\\frac{19}{3}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1}{3}", ["x"] = 6, ["y"] = 1, ["z"] = 3 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.77", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot 1\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{6} + (-17 \\cdot 1\\frac{3}{8})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 2\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 2\\frac{2}{8} - 4\\frac{3}{8}", ["typ"] = "minus" }, ["render"] = "3\\frac{4}{6} + (-17 \\cdot 1\\frac{3}{8}) + 4\\frac{4}{8} + 2\\frac{2}{8} - 4\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{6} + (-17 \\cdot 1\\frac{3}{8}) + 4\\frac{4}{8} + 2\\frac{2}{8} - 4\\frac{3}{8})", ["typ"] = "zavorka" }, ["render"] = "-11 - (3\\frac{4}{6} + (-17 \\cdot 1\\frac{3}{8}) + 4\\frac{4}{8} + 2\\frac{2}{8} - 4\\frac{3}{8})", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.78, bodu=125, $$\frac{-9 \cdot 1\frac{2}{6} \cdot -13 + 4\frac{3}{5}}{-15 + (-3)}=\textcolor{white}{-8\frac{83}{90}}$$return { ["body"] = 125, ["id"] = "ZLUMVy_0614_1552", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -8.9222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -803, ["jmenovatel"] = 90 }, ["render"] = "\\frac{803}{-90}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{83}{90}", ["x"] = -8, ["y"] = 83, ["z"] = 90 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} \\cdot -13", ["typ"] = "krat" }, ["render"] = "-9 \\cdot 1\\frac{2}{6} \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 1\\frac{2}{6} \\cdot -13 + 4\\frac{3}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-15 + (-3)", ["typ"] = "plus" }, ["render"] = "\\frac{-9 \\cdot 1\\frac{2}{6} \\cdot -13 + 4\\frac{3}{5}}{-15 + (-3)}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.79, bodu=157, $$-18 + 12 + 8 - 4\frac{3}{11} \cdot \frac{4\frac{5}{8}}{4\frac{3}{13}}=\textcolor{white}{-2\frac{3247}{4840}}$$return { ["body"] = 157, ["id"] = "Y7jcP2_0614_1552", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -2.670867768595, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12927, ["jmenovatel"] = 4840 }, ["render"] = "\\frac{-12927}{4840}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{3247}{4840}", ["x"] = -2, ["y"] = 3247, ["z"] = 4840 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.79", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{3}{13}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{11} \\cdot \\frac{4\\frac{5}{8}}{4\\frac{3}{13}}", ["typ"] = "krat" }, ["render"] = "8 - 4\\frac{3}{11} \\cdot \\frac{4\\frac{5}{8}}{4\\frac{3}{13}}", ["typ"] = "minus" }, ["render"] = "12 + 8 - 4\\frac{3}{11} \\cdot \\frac{4\\frac{5}{8}}{4\\frac{3}{13}}", ["typ"] = "plus" }, ["render"] = "-18 + 12 + 8 - 4\\frac{3}{11} \\cdot \\frac{4\\frac{5}{8}}{4\\frac{3}{13}}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.8, bodu=192, $$\frac{(-13 - (-14))^2 + 1\frac{1}{4}}{-13 - (2\frac{5}{9} - 3\frac{2}{8})} + 4\frac{1}{6}=\textcolor{white}{3\frac{2615}{2658}}$$return { ["body"] = 192, ["id"] = "QoTumZ_0614_1552", ["obtiznost"] = 1.6008, ["reseni"] = { ["float"] = 3.9838224228743, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10589, ["jmenovatel"] = 2658 }, ["render"] = "\\frac{10589}{2658}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{2615}{2658}", ["x"] = 3, ["y"] = 2615, ["z"] = 2658 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-13 - (-14)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-13 - (-14))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "(-13 - (-14))^2 + 1\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{9} - 3\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(2\\frac{5}{9} - 3\\frac{2}{8})", ["typ"] = "zavorka" }, ["render"] = "-13 - (2\\frac{5}{9} - 3\\frac{2}{8})", ["typ"] = "minus" }, ["render"] = "\\frac{(-13 - (-14))^2 + 1\\frac{1}{4}}{-13 - (2\\frac{5}{9} - 3\\frac{2}{8})}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-13 - (-14))^2 + 1\\frac{1}{4}}{-13 - (2\\frac{5}{9} - 3\\frac{2}{8})} + 4\\frac{1}{6}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.81, bodu=246, $$\frac{2\frac{5}{13} + (-12) + (-14 + 1\frac{3}{11})}{3\frac{1}{8} + (-11 + (3\frac{1}{4} + (-7))^2) - 3\frac{1}{10}}=\textcolor{white}{-7\frac{8353}{35321}}$$return { ["body"] = 246, ["id"] = "cWjF3B_0614_1552", ["obtiznost"] = 1.9064, ["reseni"] = { ["float"] = -7.2364882081481, ["objekt"] = { ["hodnota"] = { ["citatel"] = -255600, ["jmenovatel"] = 35321 }, ["render"] = "\\frac{-255600}{35321}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{8353}{35321}", ["x"] = -7, ["y"] = 8353, ["z"] = 35321 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{13} + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "-14 + 1\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{13} + (-12) + (-14 + 1\\frac{3}{11})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} + (-7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{1}{4} + (-7))^2", ["typ"] = "mocnina" }, ["render"] = "-11 + (3\\frac{1}{4} + (-7))^2", ["typ"] = "plus" }, ["render"] = "3\\frac{1}{8} + (-11 + (3\\frac{1}{4} + (-7))^2)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} + (-11 + (3\\frac{1}{4} + (-7))^2) - 3\\frac{1}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{5}{13} + (-12) + (-14 + 1\\frac{3}{11})}{3\\frac{1}{8} + (-11 + (3\\frac{1}{4} + (-7))^2) - 3\\frac{1}{10}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.82, bodu=230, $$\frac{-14 + 4\frac{4}{9} \cdot (2\frac{1}{10} + 1\frac{3}{7})}{-12 + 1\frac{1}{8}} - 3\frac{1}{6}=\textcolor{white}{-3\frac{3523}{10962}}$$return { ["body"] = 230, ["id"] = "nzmASe_0614_1552", ["obtiznost"] = 1.82, ["reseni"] = { ["float"] = -3.321382959314, ["objekt"] = { ["hodnota"] = { ["citatel"] = -36409, ["jmenovatel"] = 10962 }, ["render"] = "\\frac{-109227}{32886}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{3523}{10962}", ["x"] = -3, ["y"] = 3523, ["z"] = 10962 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{10} + 1\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{10} + 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{9} \\cdot (2\\frac{1}{10} + 1\\frac{3}{7})", ["typ"] = "krat" }, ["render"] = "-14 + 4\\frac{4}{9} \\cdot (2\\frac{1}{10} + 1\\frac{3}{7})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "-12 + 1\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{-14 + 4\\frac{4}{9} \\cdot (2\\frac{1}{10} + 1\\frac{3}{7})}{-12 + 1\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 + 4\\frac{4}{9} \\cdot (2\\frac{1}{10} + 1\\frac{3}{7})}{-12 + 1\\frac{1}{8}} - 3\\frac{1}{6}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.83, bodu=104, $$\frac{\frac{9}{22}}{4\frac{2}{11} \cdot 17} \cdot 13=\textcolor{white}{\frac{117}{1564}}$$return { ["body"] = 104, ["id"] = "0JQSLc_0614_1552", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = 0.074808184143223, ["objekt"] = { ["hodnota"] = { ["citatel"] = 117, ["jmenovatel"] = 1564 }, ["render"] = "\\frac{117}{1564}", ["typ"] = "cislo" }, ["tex"] = "\\frac{117}{1564}", ["y"] = 117, ["z"] = 1564 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{22}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{11} \\cdot 17", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{9}{22}}{4\\frac{2}{11} \\cdot 17}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{9}{22}}{4\\frac{2}{11} \\cdot 17} \\cdot 13", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.84, bodu=134, $$16 \cdot (2\frac{1}{2} - (-4 + (-6 + 15))) \cdot -11 \cdot 4\frac{4}{9}=\textcolor{white}{1955\frac{5}{9}}$$return { ["body"] = 134, ["id"] = "ug9rM4_0614_1552", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 1955.5555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17600, ["jmenovatel"] = 9 }, ["render"] = "\\frac{17600}{9}", ["typ"] = "cislo" }, ["tex"] = "1955\\frac{5}{9}", ["x"] = 1955, ["y"] = 5, ["z"] = 9 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-6 + 15", ["typ"] = "plus" }, ["render"] = "-4 + (-6 + 15)", ["typ"] = "plus" }, ["render"] = "(-4 + (-6 + 15))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{1}{2} - (-4 + (-6 + 15))", ["typ"] = "minus" }, ["render"] = "(2\\frac{1}{2} - (-4 + (-6 + 15)))", ["typ"] = "zavorka" }, ["render"] = "16 \\cdot (2\\frac{1}{2} - (-4 + (-6 + 15)))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "16 \\cdot (2\\frac{1}{2} - (-4 + (-6 + 15))) \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot (2\\frac{1}{2} - (-4 + (-6 + 15))) \\cdot -11 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.85, bodu=106, $$\frac{\frac{-13}{4\frac{3}{9}}}{-21 - (-19 \cdot -16 \cdot -16)}=\textcolor{white}{-\frac{3}{4843}}$$return { ["body"] = 106, ["id"] = "qzjTw8_0614_1552", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -0.00061945075366508, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 4843 }, ["render"] = "\\frac{-3}{4843}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{4843}", ["y"] = -3, ["z"] = 4843 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{4\\frac{3}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot -16 \\cdot -16", ["typ"] = "krat" }, ["render"] = "-21 - (-19 \\cdot -16 \\cdot -16)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-13}{4\\frac{3}{9}}}{-21 - (-19 \\cdot -16 \\cdot -16)}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.86, bodu=137, $$(4\frac{3}{9} - 1\frac{2}{6}) \cdot (7 - 17 - (-13 - 11))=\textcolor{white}{42}$$return { ["body"] = 137, ["id"] = "nrqXw3_0614_1552", ["obtiznost"] = 1.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 1 }, ["render"] = "\\frac{42}{1}", ["typ"] = "cislo" }, ["tex"] = "42", ["tex_float"] = "42", ["x"] = 42 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.86", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{9} - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{9} - 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "7 - 17", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-13 - 11", ["typ"] = "minus" }, ["render"] = "(-13 - 11)", ["typ"] = "zavorka" }, ["render"] = "7 - 17 - (-13 - 11)", ["typ"] = "minus" }, ["render"] = "(7 - 17 - (-13 - 11))", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{3}{9} - 1\\frac{2}{6}) \\cdot (7 - 17 - (-13 - 11))", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.87, bodu=115, $$9 + (\frac{3\frac{1}{3}}{5})^4 + \frac{19}{9} \cdot 15=\textcolor{white}{40\frac{70}{81}}$$return { ["body"] = 115, ["id"] = "7aCtbe_0614_1552", ["obtiznost"] = 1.1088, ["reseni"] = { ["float"] = 40.864197530864, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3310, ["jmenovatel"] = 81 }, ["render"] = "\\frac{3310}{81}", ["typ"] = "cislo" }, ["tex"] = "40\\frac{70}{81}", ["x"] = 40, ["y"] = 70, ["z"] = 81 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{3}}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{3\\frac{1}{3}}{5})^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{9} \\cdot 15", ["typ"] = "krat" }, ["render"] = "(\\frac{3\\frac{1}{3}}{5})^4 + \\frac{19}{9} \\cdot 15", ["typ"] = "plus" }, ["render"] = "9 + (\\frac{3\\frac{1}{3}}{5})^4 + \\frac{19}{9} \\cdot 15", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.88, bodu=224, $$12 + \frac{2\frac{5}{9}}{-14 - 3\frac{3}{7}} \cdot (3\frac{5}{9} \cdot 1\frac{4}{8})^2=\textcolor{white}{7\frac{4097}{4941}}$$return { ["body"] = 224, ["id"] = "1lFb4A_0614_1552", ["obtiznost"] = 1.786, ["reseni"] = { ["float"] = 7.8291843756325, ["objekt"] = { ["hodnota"] = { ["citatel"] = 38684, ["jmenovatel"] = 4941 }, ["render"] = "\\frac{38684}{4941}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{4097}{4941}", ["x"] = 7, ["y"] = 4097, ["z"] = 4941 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.88", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-14 - 3\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{5}{9}}{-14 - 3\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} \\cdot 1\\frac{4}{8}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{5}{9} \\cdot 1\\frac{4}{8})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{5}{9}}{-14 - 3\\frac{3}{7}} \\cdot (3\\frac{5}{9} \\cdot 1\\frac{4}{8})^2", ["typ"] = "krat" }, ["render"] = "12 + \\frac{2\\frac{5}{9}}{-14 - 3\\frac{3}{7}} \\cdot (3\\frac{5}{9} \\cdot 1\\frac{4}{8})^2", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.89, bodu=173, $$\frac{-15 - 15 \cdot -13 + 3\frac{4}{7}}{-5 + 2\frac{4}{8}} + 3\frac{1}{4}=\textcolor{white}{-70\frac{5}{28}}$$return { ["body"] = 173, ["id"] = "KS9FPI_0614_1552", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = -70.178571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1965, ["jmenovatel"] = 28 }, ["render"] = "\\frac{-1965}{28}", ["typ"] = "cislo" }, ["tex"] = "-70\\frac{5}{28}", ["x"] = -70, ["y"] = 5, ["z"] = 28 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "15 \\cdot -13", ["typ"] = "krat" }, ["render"] = "-15 - 15 \\cdot -13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-15 - 15 \\cdot -13 + 3\\frac{4}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-5 + 2\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{-15 - 15 \\cdot -13 + 3\\frac{4}{7}}{-5 + 2\\frac{4}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 - 15 \\cdot -13 + 3\\frac{4}{7}}{-5 + 2\\frac{4}{8}} + 3\\frac{1}{4}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.9, bodu=146, $$(6 + 2\frac{1}{12}) \cdot 8 \cdot 2\frac{5}{12} - (12 - 19)^2=\textcolor{white}{107\frac{5}{18}}$$return { ["body"] = 146, ["id"] = "idFv9o_0614_1552", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 107.27777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1931, ["jmenovatel"] = 18 }, ["render"] = "\\frac{1931}{18}", ["typ"] = "cislo" }, ["tex"] = "107\\frac{5}{18}", ["x"] = 107, ["y"] = 5, ["z"] = 18 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{1}{12}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{1}{12}", ["typ"] = "plus" }, ["render"] = "(6 + 2\\frac{1}{12})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(6 + 2\\frac{1}{12}) \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "(6 + 2\\frac{1}{12}) \\cdot 8 \\cdot 2\\frac{5}{12}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "12 - 19", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - 19)^2", ["typ"] = "mocnina" }, ["render"] = "(6 + 2\\frac{1}{12}) \\cdot 8 \\cdot 2\\frac{5}{12} - (12 - 19)^2", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.91, bodu=211, $$(1\frac{2}{7} - (13 + 4\frac{3}{6} - (-14))) \cdot (\frac{1\frac{1}{7}}{-18} - 4\frac{2}{8})=\textcolor{white}{130\frac{129}{392}}$$return { ["body"] = 211, ["id"] = "n2xRJh_0614_1552", ["obtiznost"] = 1.71, ["reseni"] = { ["float"] = 130.32908163265, ["objekt"] = { ["hodnota"] = { ["citatel"] = 51089, ["jmenovatel"] = 392 }, ["render"] = "\\frac{459801}{3528}", ["typ"] = "cislo" }, ["tex"] = "130\\frac{129}{392}", ["x"] = 130, ["y"] = 129, ["z"] = 392 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.91", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} - (-14)", ["typ"] = "minus" }, ["render"] = "13 + 4\\frac{3}{6} - (-14)", ["typ"] = "plus" }, ["render"] = "(13 + 4\\frac{3}{6} - (-14))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{7} - (13 + 4\\frac{3}{6} - (-14))", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{7} - (13 + 4\\frac{3}{6} - (-14)))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{-18}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{-18} - 4\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{1}{7}}{-18} - 4\\frac{2}{8})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{2}{7} - (13 + 4\\frac{3}{6} - (-14))) \\cdot (\\frac{1\\frac{1}{7}}{-18} - 4\\frac{2}{8})", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.92, bodu=213, $$\frac{4\frac{2}{8}}{4\frac{1}{9}} + 2\frac{3}{9} + (-13 - \frac{-17}{19}) + 4\frac{3}{7}=\textcolor{white}{-4\frac{18281}{59052}}$$return { ["body"] = 213, ["id"] = "AopCdc_0614_1552", ["obtiznost"] = 1.72, ["reseni"] = { ["float"] = -4.3095746122062, ["objekt"] = { ["hodnota"] = { ["citatel"] = -254489, ["jmenovatel"] = 59052 }, ["render"] = "\\frac{-254489}{59052}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{18281}{59052}", ["x"] = -4, ["y"] = 18281, ["z"] = 59052 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{4\\frac{1}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{4\\frac{1}{9}} + 2\\frac{3}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{19}", ["typ"] = "lomeno" }, ["render"] = "-13 - \\frac{-17}{19}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{2}{8}}{4\\frac{1}{9}} + 2\\frac{3}{9} + (-13 - \\frac{-17}{19})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{4\\frac{1}{9}} + 2\\frac{3}{9} + (-13 - \\frac{-17}{19}) + 4\\frac{3}{7}", ["typ"] = "plus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.93, bodu=148, $$3\frac{3}{11} \cdot \frac{3}{\frac{10}{\frac{1\frac{2}{8}}{22}}}=\textcolor{white}{\frac{27}{484}}$$return { ["body"] = 148, ["id"] = "KYiz7I_0614_1552", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = 0.055785123966942, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 484 }, ["render"] = "\\frac{108}{1936}", ["typ"] = "cislo" }, ["tex"] = "\\frac{27}{484}", ["y"] = 27, ["z"] = 484 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.93", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{8}}{22}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{\\frac{1\\frac{2}{8}}{22}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3}{\\frac{10}{\\frac{1\\frac{2}{8}}{22}}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{11} \\cdot \\frac{3}{\\frac{10}{\\frac{1\\frac{2}{8}}{22}}}", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.94, bodu=119, $$(2\frac{3}{10} + (-11)) \cdot -13 - \frac{5}{-6 \cdot 6}=\textcolor{white}{113\frac{43}{180}}$$return { ["body"] = 119, ["id"] = "XHrhTJ_0614_1552", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = 113.23888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20383, ["jmenovatel"] = 180 }, ["render"] = "\\frac{40766}{360}", ["typ"] = "cislo" }, ["tex"] = "113\\frac{43}{180}", ["x"] = 113, ["y"] = 43, ["z"] = 180 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} + (-11)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{10} + (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{10} + (-11)) \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{5}{-6 \\cdot 6}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{3}{10} + (-11)) \\cdot -13 - \\frac{5}{-6 \\cdot 6}", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.95, bodu=173, $$(17 - (24 + (17 + 12)^2 + 13)) \cdot (3\frac{4}{10} - (-9))=\textcolor{white}{-10676{,}4}$$return { ["body"] = 173, ["id"] = "2Q5Tef_0614_1552", ["obtiznost"] = 1.4868, ["reseni"] = { ["float"] = -10676.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -53382, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-53382}{5}", ["typ"] = "cislo" }, ["tex"] = "-10676\\frac{2}{5}", ["tex_float"] = "-10676{,}4", ["x"] = -10676, ["y"] = 2, ["z"] = 5 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.95", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 1 }, ["render"] = "24", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "17 + 12", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(17 + 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(17 + 12)^2 + 13", ["typ"] = "plus" }, ["render"] = "24 + (17 + 12)^2 + 13", ["typ"] = "plus" }, ["render"] = "(24 + (17 + 12)^2 + 13)", ["typ"] = "zavorka" }, ["render"] = "17 - (24 + (17 + 12)^2 + 13)", ["typ"] = "minus" }, ["render"] = "(17 - (24 + (17 + 12)^2 + 13))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - (-9)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{10} - (-9))", ["typ"] = "zavorka" }, ["render"] = "(17 - (24 + (17 + 12)^2 + 13)) \\cdot (3\\frac{4}{10} - (-9))", ["typ"] = "krat" } }

seed: 3C3kf2tGltcNH9UGNnle_0.96, bodu=185, $$17 - (\frac{-12 + 3\frac{1}{6}}{7} \cdot 4\frac{4}{8} - (3\frac{5}{13} + 11))=\textcolor{white}{37\frac{23}{364}}$$return { ["body"] = 185, ["id"] = "5xED8a_0614_1552", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 37.063186813187, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13491, ["jmenovatel"] = 364 }, ["render"] = "\\frac{13491}{364}", ["typ"] = "cislo" }, ["tex"] = "37\\frac{23}{364}", ["x"] = 37, ["y"] = 23, ["z"] = 364 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-12 + 3\\frac{1}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + 3\\frac{1}{6}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + 3\\frac{1}{6}}{7} \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{13} + 11", ["typ"] = "plus" }, ["render"] = "(3\\frac{5}{13} + 11)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-12 + 3\\frac{1}{6}}{7} \\cdot 4\\frac{4}{8} - (3\\frac{5}{13} + 11)", ["typ"] = "minus" }, ["render"] = "(\\frac{-12 + 3\\frac{1}{6}}{7} \\cdot 4\\frac{4}{8} - (3\\frac{5}{13} + 11))", ["typ"] = "zavorka" }, ["render"] = "17 - (\\frac{-12 + 3\\frac{1}{6}}{7} \\cdot 4\\frac{4}{8} - (3\\frac{5}{13} + 11))", ["typ"] = "minus" } }

seed: 3C3kf2tGltcNH9UGNnle_0.97, bodu=187, $$\frac{8 \cdot 4\frac{5}{10}}{3\frac{4}{6} - (3 - 1\frac{2}{9} + 14)}=\textcolor{white}{-2\frac{106}{109}}$$return { ["body"] = 187, ["id"] = "bklIIF_0614_1552", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -2.9724770642202, ["objekt"] = { ["hodnota"] = { ["citatel"] = -324, ["jmenovatel"] = 109 }, ["render"] = "\\frac{324}{-109}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{106}{109}", ["x"] = -2, ["y"] = 106, ["z"] = 109 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 4\\frac{5}{10}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "3 - 1\\frac{2}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3 - 1\\frac{2}{9} + 14", ["typ"] = "plus" }, ["render"] = "(3 - 1\\frac{2}{9} + 14)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{6} - (3 - 1\\frac{2}{9} + 14)", ["typ"] = "minus" }, ["render"] = "\\frac{8 \\cdot 4\\frac{5}{10}}{3\\frac{4}{6} - (3 - 1\\frac{2}{9} + 14)}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.98, bodu=155, $$\frac{22 \cdot 3\frac{5}{13}}{\frac{17}{\frac{-22}{4\frac{3}{10}}}}=\textcolor{white}{-22\frac{3894}{9503}}$$return { ["body"] = 155, ["id"] = "cwauN0_0614_1552", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -22.409765337262, ["objekt"] = { ["hodnota"] = { ["citatel"] = -212960, ["jmenovatel"] = 9503 }, ["render"] = "\\frac{212960}{-9503}", ["typ"] = "cislo" }, ["tex"] = "-22\\frac{3894}{9503}", ["x"] = -22, ["y"] = 3894, ["z"] = 9503 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "22 \\cdot 3\\frac{5}{13}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-22}{4\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{17}{\\frac{-22}{4\\frac{3}{10}}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{22 \\cdot 3\\frac{5}{13}}{\\frac{17}{\\frac{-22}{4\\frac{3}{10}}}}", ["typ"] = "lomeno" } }

seed: 3C3kf2tGltcNH9UGNnle_0.99, bodu=272, $$(\frac{17}{6})^2 \cdot \frac{(2\frac{2}{6} \cdot 2\frac{4}{10})^2}{-10 + 2\frac{1}{11}}=\textcolor{white}{-31\frac{16259}{19575}}$$return { ["body"] = 272, ["id"] = "wVyccX_0614_1552", ["obtiznost"] = 2.0436, ["reseni"] = { ["float"] = -31.830600255428, ["objekt"] = { ["hodnota"] = { ["citatel"] = -623084, ["jmenovatel"] = 19575 }, ["render"] = "\\frac{-2492336}{78300}", ["typ"] = "cislo" }, ["tex"] = "-31\\frac{16259}{19575}", ["x"] = -31, ["y"] = 16259, ["z"] = 19575 }, ["seed"] = "3C3kf2tGltcNH9UGNnle_0.99", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{17}{6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} \\cdot 2\\frac{4}{10}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{2}{6} \\cdot 2\\frac{4}{10})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{1}{11}", ["typ"] = "cislo" }, ["render"] = "-10 + 2\\frac{1}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{(2\\frac{2}{6} \\cdot 2\\frac{4}{10})^2}{-10 + 2\\frac{1}{11}}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{17}{6})^2 \\cdot \\frac{(2\\frac{2}{6} \\cdot 2\\frac{4}{10})^2}{-10 + 2\\frac{1}{11}}", ["typ"] = "krat" } }

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