- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: LgHkQuxfKKfDpI3Hh440_0, bodu=10, $$\frac{\frac{7}{10}}{10}=\textcolor{white}{0{,}07}$$return {
["body"] = 10,
["id"] = "ujigaF_0919_0545",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.07,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 100 },
["render"] = "\\frac{7}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{100}",
["tex_float"] = "0{,}07",
["y"] = 7,
["z"] = 100 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{10}}{10}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.01, bodu=10, $$\frac{(\frac{-3}{5 + (-7)})^4}{9}=\textcolor{white}{\frac{9}{16}}$$return {
["body"] = 10,
["id"] = "1O02S2_0919_0545",
["obtiznost"] = 0.0488,
["reseni"] = {
["float"] = 0.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 16 },
["render"] = "\\frac{81}{144}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{16}",
["y"] = 9,
["z"] = 16 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{-3}{5 + (-7)}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-3}{5 + (-7)})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-3}{5 + (-7)})^4}{9}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.02, bodu=5, $$(-7 \cdot 4 - 8) \cdot 7=\textcolor{white}{-252}$$return {
["body"] = 5,
["id"] = "KtmQy1_0919_0545",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -252,
["jmenovatel"] = 1 },
["render"] = "\\frac{-252}{1}",
["typ"] = "cislo" },
["tex"] = "-252",
["x"] = -252 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4 - 8",
["typ"] = "minus" },
["render"] = "(-7 \\cdot 4 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-7 \\cdot 4 - 8) \\cdot 7",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.03, bodu=5, $$7 \cdot 8 \cdot 10=\textcolor{white}{560}$$return {
["body"] = 5,
["id"] = "bT7Bny_0919_0545",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 560,
["jmenovatel"] = 1 },
["render"] = "\\frac{560}{1}",
["typ"] = "cislo" },
["tex"] = "560",
["x"] = 560 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8 \\cdot 10",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.04, bodu=5, $$8 - 6 \cdot 7 + 7=\textcolor{white}{-27}$$return {
["body"] = 5,
["id"] = "9g4r8e_0919_0545",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 1 },
["render"] = "\\frac{-27}{1}",
["typ"] = "cislo" },
["tex"] = "-27",
["tex_float"] = "-27",
["x"] = -27 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "8 - 6 \\cdot 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 6 \\cdot 7 + 7",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.05, bodu=11, $$\frac{7}{-7 + 4 + 5}=\textcolor{white}{3{,}5}$$return {
["body"] = 11,
["id"] = "gAXUZx_0919_0545",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{7}{2}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["render"] = "-7 + 4 + 5",
["typ"] = "plus" },
["render"] = "\\frac{7}{-7 + 4 + 5}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.06, bodu=38, $$\frac{7}{2\frac{5}{7} + 3\frac{2}{4} + 5}=\textcolor{white}{\frac{98}{157}}$$return {
["body"] = 38,
["id"] = "KyIXcW_0919_0545",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 0.62420382165605,
["objekt"] = {
["hodnota"] = {
["citatel"] = 98,
["jmenovatel"] = 157 },
["render"] = "\\frac{98}{157}",
["typ"] = "cislo" },
["tex"] = "\\frac{98}{157}",
["y"] = 98,
["z"] = 157 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "2\\frac{5}{7} + 3\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "\\frac{7}{2\\frac{5}{7} + 3\\frac{2}{4} + 5}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.07, bodu=11, $$\frac{6}{6} - 9 + 5=\textcolor{white}{-3}$$return {
["body"] = 11,
["id"] = "Mduw1A_0919_0545",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6} - 9 + 5",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.08, bodu=6, $$4 - (9 - 7 \cdot -10)=\textcolor{white}{-75}$$return {
["body"] = 6,
["id"] = "k1MDnA_0919_0545",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 1 },
["render"] = "\\frac{-75}{1}",
["typ"] = "cislo" },
["tex"] = "-75",
["x"] = -75 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 \\cdot -10",
["typ"] = "krat" },
["render"] = "9 - 7 \\cdot -10",
["typ"] = "minus" },
["render"] = "(9 - 7 \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "4 - (9 - 7 \\cdot -10)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.09, bodu=24, $$\frac{6 - 4}{5} - 4\frac{4}{7}=\textcolor{white}{-4\frac{6}{35}}$$return {
["body"] = 24,
["id"] = "AwGoOM_0919_0545",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -4.1714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 35 },
["render"] = "\\frac{-146}{35}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{6}{35}",
["x"] = -4,
["y"] = 6,
["z"] = 35 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6 - 4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6 - 4}{5} - 4\\frac{4}{7}",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.1, bodu=6, $$8 - (6 - 4 \cdot 7)=\textcolor{white}{30}$$return {
["body"] = 6,
["id"] = "EGGQWL_0919_0545",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["x"] = 30 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 - 4 \\cdot 7",
["typ"] = "minus" },
["render"] = "(6 - 4 \\cdot 7)",
["typ"] = "zavorka" },
["render"] = "8 - (6 - 4 \\cdot 7)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.11, bodu=36, $$(2\frac{1}{4} \cdot 8)^2 \cdot 6=\textcolor{white}{1944}$$return {
["body"] = 36,
["id"] = "o2OPoj_0919_0545",
["obtiznost"] = 0.44,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1944,
["jmenovatel"] = 1 },
["render"] = "\\frac{1944}{1}",
["typ"] = "cislo" },
["tex"] = "1944",
["x"] = 1944 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot 8",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{1}{4} \\cdot 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{4} \\cdot 8)^2 \\cdot 6",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.12, bodu=7, $$(7 - (11 + 10 - 5))^2=\textcolor{white}{81}$$return {
["body"] = 7,
["id"] = "2vSe61_0919_0545",
["obtiznost"] = 0.1528,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["x"] = 81 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 - 5",
["typ"] = "minus" },
["render"] = "11 + 10 - 5",
["typ"] = "plus" },
["render"] = "(11 + 10 - 5)",
["typ"] = "zavorka" },
["render"] = "7 - (11 + 10 - 5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (11 + 10 - 5))^2",
["typ"] = "mocnina" } }
seed: LgHkQuxfKKfDpI3Hh440_0.13, bodu=14, $$(-8 + \frac{-3}{-8}) \cdot 10=\textcolor{white}{-76{,}25}$$return {
["body"] = 14,
["id"] = "JinvdU_0919_0545",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -76.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -305,
["jmenovatel"] = 4 },
["render"] = "\\frac{-610}{8}",
["typ"] = "cislo" },
["tex"] = "-76\\frac{1}{4}",
["tex_float"] = "-76{,}25",
["x"] = -76,
["y"] = 1,
["z"] = 4 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-8}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{-3}{-8}",
["typ"] = "plus" },
["render"] = "(-8 + \\frac{-3}{-8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-8 + \\frac{-3}{-8}) \\cdot 10",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.14, bodu=14, $$\frac{8}{\frac{13}{3 + 10}}=\textcolor{white}{8}$$return {
["body"] = 14,
["id"] = "tiLsM3_0919_0545",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["x"] = 8 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 + 10",
["typ"] = "plus" },
["render"] = "\\frac{13}{3 + 10}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{13}{3 + 10}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.15, bodu=20, $$\frac{(-7 - (-9) + 4)^3 + (-7)}{6}=\textcolor{white}{34\frac{5}{6}}$$return {
["body"] = 20,
["id"] = "3nHcVX_0919_0545",
["obtiznost"] = 0.2368,
["reseni"] = {
["float"] = 34.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 209,
["jmenovatel"] = 6 },
["render"] = "\\frac{209}{6}",
["typ"] = "cislo" },
["tex"] = "34\\frac{5}{6}",
["x"] = 34,
["y"] = 5,
["z"] = 6 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-7 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 - (-9) + 4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 - (-9) + 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-7 - (-9) + 4)^3 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(-7 - (-9) + 4)^3 + (-7)}{6}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.16, bodu=7, $$(9 - 9) \cdot -11 \cdot -5=\textcolor{white}{0}$$return {
["body"] = 7,
["id"] = "WnoCFD_0919_0545",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.16",
["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"] = "minus" },
["render"] = "(9 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -5",
["typ"] = "krat" },
["render"] = "(9 - 9) \\cdot -11 \\cdot -5",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.17, bodu=16, $$\frac{9 \cdot 9}{-12}=\textcolor{white}{-6{,}75}$$return {
["body"] = 16,
["id"] = "41CFPz_0919_0545",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -6.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 4 },
["render"] = "\\frac{81}{-12}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3}{4}",
["tex_float"] = "-6{,}75",
["x"] = -6,
["y"] = 3,
["z"] = 4 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 9}{-12}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.18, bodu=31, $$6 \cdot (10 \cdot 7 + 4\frac{5}{9})=\textcolor{white}{447\frac{1}{3}}$$return {
["body"] = 31,
["id"] = "hMvk21_0919_0545",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 447.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1342,
["jmenovatel"] = 3 },
["render"] = "\\frac{4026}{9}",
["typ"] = "cislo" },
["tex"] = "447\\frac{1}{3}",
["x"] = 447,
["y"] = 1,
["z"] = 3 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(10 \\cdot 7 + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (10 \\cdot 7 + 4\\frac{5}{9})",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.19, bodu=17, $$-7 \cdot (1\frac{2}{2} + 8 + 5 + 10)=\textcolor{white}{-175}$$return {
["body"] = 17,
["id"] = "XqJQAK_0919_0545",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 1 },
["render"] = "\\frac{-175}{1}",
["typ"] = "cislo" },
["tex"] = "-175",
["x"] = -175 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{2} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{2} + 8 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{2} + 8 + 5 + 10",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{2} + 8 + 5 + 10)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (1\\frac{2}{2} + 8 + 5 + 10)",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.2, bodu=32, $$\frac{-11 \cdot 1\frac{4}{9}}{-8 \cdot 9}=\textcolor{white}{\frac{143}{648}}$$return {
["body"] = 32,
["id"] = "q2RHdk_0919_0545",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 0.22067901234568,
["objekt"] = {
["hodnota"] = {
["citatel"] = 143,
["jmenovatel"] = 648 },
["render"] = "\\frac{-143}{-648}",
["typ"] = "cislo" },
["tex"] = "\\frac{143}{648}",
["y"] = 143,
["z"] = 648 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["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{-11 \\cdot 1\\frac{4}{9}}{-8 \\cdot 9}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.21, bodu=52, $$\frac{13}{10} + 1\frac{4}{8} - (7 - 4\frac{3}{7})=\textcolor{white}{\frac{8}{35}}$$return {
["body"] = 52,
["id"] = "DTq3FV_0919_0545",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 0.22857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 35 },
["render"] = "\\frac{8}{35}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{35}",
["y"] = 8,
["z"] = 35 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{10} + 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(7 - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{10} + 1\\frac{4}{8} - (7 - 4\\frac{3}{7})",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.22, bodu=34, $$9 + 8 + 10 - \frac{4\frac{3}{7}}{-12}=\textcolor{white}{27\frac{31}{84}}$$return {
["body"] = 34,
["id"] = "3caKLw_0919_0545",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 27.369047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2299,
["jmenovatel"] = 84 },
["render"] = "\\frac{2299}{84}",
["typ"] = "cislo" },
["tex"] = "27\\frac{31}{84}",
["x"] = 27,
["y"] = 31,
["z"] = 84 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["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"] = "\\frac{4\\frac{3}{7}}{-12}",
["typ"] = "lomeno" },
["render"] = "8 + 10 - \\frac{4\\frac{3}{7}}{-12}",
["typ"] = "minus" },
["render"] = "9 + 8 + 10 - \\frac{4\\frac{3}{7}}{-12}",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.23, bodu=22, $$\frac{8}{-9} \cdot (-6 - (12 + (-3))^2)=\textcolor{white}{77\frac{1}{3}}$$return {
["body"] = 22,
["id"] = "sR305I_0919_0545",
["obtiznost"] = 0.2628,
["reseni"] = {
["float"] = 77.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 232,
["jmenovatel"] = 3 },
["render"] = "\\frac{696}{9}",
["typ"] = "cislo" },
["tex"] = "77\\frac{1}{3}",
["x"] = 77,
["y"] = 1,
["z"] = 3 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + (-3))^2",
["typ"] = "mocnina" },
["render"] = "-6 - (12 + (-3))^2",
["typ"] = "minus" },
["render"] = "(-6 - (12 + (-3))^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{-9} \\cdot (-6 - (12 + (-3))^2)",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.24, bodu=20, $$10 \cdot \frac{-11 \cdot -6}{10}=\textcolor{white}{66}$$return {
["body"] = 20,
["id"] = "h0A4rh_0919_0545",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 66,
["jmenovatel"] = 1 },
["render"] = "\\frac{330}{5}",
["typ"] = "cislo" },
["tex"] = "66",
["x"] = 66 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot -6}{10}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{-11 \\cdot -6}{10}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.25, bodu=26, $$\frac{10}{(\frac{-7}{5 + 6})^2}=\textcolor{white}{24\frac{34}{49}}$$return {
["body"] = 26,
["id"] = "sYg6SL_0919_0545",
["obtiznost"] = 0.318,
["reseni"] = {
["float"] = 24.69387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1210,
["jmenovatel"] = 49 },
["render"] = "\\frac{1210}{49}",
["typ"] = "cislo" },
["tex"] = "24\\frac{34}{49}",
["x"] = 24,
["y"] = 34,
["z"] = 49 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["render"] = "\\frac{-7}{5 + 6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{5 + 6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{(\\frac{-7}{5 + 6})^2}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.26, bodu=58, $$3 \cdot -3 \cdot 4\frac{2}{6} \cdot 1\frac{1}{5}=\textcolor{white}{-46{,}8}$$return {
["body"] = 58,
["id"] = "nAzDqd_0919_0545",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -46.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -234,
["jmenovatel"] = 5 },
["render"] = "\\frac{-234}{5}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{4}{5}",
["tex_float"] = "-46{,}8",
["x"] = -46,
["y"] = 4,
["z"] = 5 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "3 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "3 \\cdot -3 \\cdot 4\\frac{2}{6} \\cdot 1\\frac{1}{5}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.27, bodu=59, $$\frac{-4}{\frac{4\frac{2}{5}}{3\frac{5}{9}}} + (-11)=\textcolor{white}{-14\frac{23}{99}}$$return {
["body"] = 59,
["id"] = "alCURJ_0919_0545",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -14.232323232323,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1409,
["jmenovatel"] = 99 },
["render"] = "\\frac{-1409}{99}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{23}{99}",
["x"] = -14,
["y"] = 23,
["z"] = 99 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{\\frac{4\\frac{2}{5}}{3\\frac{5}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{\\frac{4\\frac{2}{5}}{3\\frac{5}{9}}} + (-11)",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.28, bodu=79, $$\frac{2\frac{3}{5}}{-8 - (8 + 2\frac{3}{7}) + (6 + 14)^2}=\textcolor{white}{\frac{91}{13355}}$$return {
["body"] = 79,
["id"] = "EGs38o_0919_0545",
["obtiznost"] = 0.8404,
["reseni"] = {
["float"] = 0.006813927368027,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 13355 },
["render"] = "\\frac{91}{13355}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{13355}",
["y"] = 91,
["z"] = 13355 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "8 + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(8 + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-8 - (8 + 2\\frac{3}{7})",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "6 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 14)^2",
["typ"] = "mocnina" },
["render"] = "-8 - (8 + 2\\frac{3}{7}) + (6 + 14)^2",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{5}}{-8 - (8 + 2\\frac{3}{7}) + (6 + 14)^2}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.29, bodu=24, $$7 \cdot \frac{6}{-5 + 13}=\textcolor{white}{5{,}25}$$return {
["body"] = 24,
["id"] = "esmi0H_0919_0545",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 5.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 4 },
["render"] = "\\frac{21}{4}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{4}",
["tex_float"] = "5{,}25",
["x"] = 5,
["y"] = 1,
["z"] = 4 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 + 13",
["typ"] = "plus" },
["render"] = "\\frac{6}{-5 + 13}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{6}{-5 + 13}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.3, bodu=12, $$(-10 + (-5)) \cdot 8 \cdot 8=\textcolor{white}{-960}$$return {
["body"] = 12,
["id"] = "NuO8bI_0919_0545",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -960,
["jmenovatel"] = 1 },
["render"] = "\\frac{-960}{1}",
["typ"] = "cislo" },
["tex"] = "-960",
["x"] = -960 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-10 + (-5)",
["typ"] = "plus" },
["render"] = "(-10 + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "(-10 + (-5)) \\cdot 8 \\cdot 8",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.31, bodu=42, $$(-13 + 8) \cdot 4\frac{4}{5} - (-11 - 7)=\textcolor{white}{-6}$$return {
["body"] = 42,
["id"] = "fISTkj_0919_0545",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6}{1}",
["typ"] = "cislo" },
["tex"] = "-6",
["tex_float"] = "-6",
["x"] = -6 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 + 8",
["typ"] = "plus" },
["render"] = "(-13 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "(-13 + 8) \\cdot 4\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 - 7",
["typ"] = "minus" },
["render"] = "(-11 - 7)",
["typ"] = "zavorka" },
["render"] = "(-13 + 8) \\cdot 4\\frac{4}{5} - (-11 - 7)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.32, bodu=43, $$\frac{2\frac{4}{9} - (5 + (-13))}{10 - 7}=\textcolor{white}{3\frac{13}{27}}$$return {
["body"] = 43,
["id"] = "xFYPay_0919_0545",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 3.4814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 94,
["jmenovatel"] = 27 },
["render"] = "\\frac{94}{27}",
["typ"] = "cislo" },
["tex"] = "3\\frac{13}{27}",
["x"] = 3,
["y"] = 13,
["z"] = 27 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "5 + (-13)",
["typ"] = "plus" },
["render"] = "(5 + (-13))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} - (5 + (-13))",
["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"] = "minus" },
["render"] = "\\frac{2\\frac{4}{9} - (5 + (-13))}{10 - 7}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.33, bodu=30, $$\frac{\frac{(\frac{9}{6})^4}{5}}{5}=\textcolor{white}{\frac{81}{400}}$$return {
["body"] = 30,
["id"] = "otj4RL_0919_0545",
["obtiznost"] = 0.3688,
["reseni"] = {
["float"] = 0.2025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 400 },
["render"] = "\\frac{81}{400}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{400}",
["y"] = 81,
["z"] = 400 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9}{6})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{9}{6})^4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{9}{6})^4}{5}}{5}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.34, bodu=45, $$1\frac{2}{7} \cdot -3 \cdot \frac{9}{-11}=\textcolor{white}{3\frac{12}{77}}$$return {
["body"] = 45,
["id"] = "XT2QE2_0919_0545",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 3.1558441558442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 77 },
["render"] = "\\frac{243}{77}",
["typ"] = "cislo" },
["tex"] = "3\\frac{12}{77}",
["x"] = 3,
["y"] = 12,
["z"] = 77 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-11}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{7} \\cdot -3 \\cdot \\frac{9}{-11}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.35, bodu=30, $$\frac{(\frac{13}{13})^4 + (-13 + 9)^3}{-5}=\textcolor{white}{12{,}6}$$return {
["body"] = 30,
["id"] = "oySvCW_0919_0545",
["obtiznost"] = 0.3768,
["reseni"] = {
["float"] = 12.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 5 },
["render"] = "\\frac{-63}{-5}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{5}",
["tex_float"] = "12{,}6",
["x"] = 12,
["y"] = 3,
["z"] = 5 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{13}{13})^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 9)^3",
["typ"] = "mocnina" },
["render"] = "(\\frac{13}{13})^4 + (-13 + 9)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{13}{13})^4 + (-13 + 9)^3}{-5}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.36, bodu=29, $$((-11 + 10)^4 - 6) \cdot (\frac{11}{11})^2=\textcolor{white}{-5}$$return {
["body"] = 29,
["id"] = "nlf7Vu_0919_0545",
["obtiznost"] = 0.3616,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["x"] = -5 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.36",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-11 + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 10)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-11 + 10)^4 - 6",
["typ"] = "minus" },
["render"] = "((-11 + 10)^4 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{11})^2",
["typ"] = "mocnina" },
["render"] = "((-11 + 10)^4 - 6) \\cdot (\\frac{11}{11})^2",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.37, bodu=34, $$\frac{-11}{(-5 + 12)^2} - (8 - 12)^3=\textcolor{white}{63\frac{38}{49}}$$return {
["body"] = 34,
["id"] = "Jf5P1q_0919_0545",
["obtiznost"] = 0.416,
["reseni"] = {
["float"] = 63.775510204082,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3125,
["jmenovatel"] = 49 },
["render"] = "\\frac{3125}{49}",
["typ"] = "cislo" },
["tex"] = "63\\frac{38}{49}",
["x"] = 63,
["y"] = 38,
["z"] = 49 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-5 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-11}{(-5 + 12)^2}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = 3,
["render"] = "(8 - 12)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-11}{(-5 + 12)^2} - (8 - 12)^3",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.38, bodu=15, $$9 \cdot 9 \cdot (7 - (-12))=\textcolor{white}{1539}$$return {
["body"] = 15,
["id"] = "oY1314_0919_0545",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1539,
["jmenovatel"] = 1 },
["render"] = "\\frac{1539}{1}",
["typ"] = "cislo" },
["tex"] = "1539",
["x"] = 1539 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "7 - (-12)",
["typ"] = "minus" },
["render"] = "(7 - (-12))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (7 - (-12))",
["typ"] = "krat" },
["render"] = "9 \\cdot 9 \\cdot (7 - (-12))",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.39, bodu=50, $$\frac{-11}{-9 + 3\frac{5}{11} - \frac{-11}{9}}=\textcolor{white}{2\frac{233}{428}}$$return {
["body"] = 50,
["id"] = "sxwe4u_0919_0545",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 2.5443925233645,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1089,
["jmenovatel"] = 428 },
["render"] = "\\frac{-1089}{-428}",
["typ"] = "cislo" },
["tex"] = "2\\frac{233}{428}",
["x"] = 2,
["y"] = 233,
["z"] = 428 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-9 + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{9}",
["typ"] = "lomeno" },
["render"] = "-9 + 3\\frac{5}{11} - \\frac{-11}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-11}{-9 + 3\\frac{5}{11} - \\frac{-11}{9}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.4, bodu=51, $$(-8 + 9)^2 + 10 \cdot 9 + (-7) - 3\frac{3}{7}=\textcolor{white}{80\frac{4}{7}}$$return {
["body"] = 51,
["id"] = "QslqnS_0919_0545",
["obtiznost"] = 0.6008,
["reseni"] = {
["float"] = 80.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 564,
["jmenovatel"] = 7 },
["render"] = "\\frac{564}{7}",
["typ"] = "cislo" },
["tex"] = "80\\frac{4}{7}",
["x"] = 80,
["y"] = 4,
["z"] = 7 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9 + (-7) - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(-8 + 9)^2 + 10 \\cdot 9 + (-7) - 3\\frac{3}{7}",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.41, bodu=33, $$\frac{-12 - 8}{10 - 9 + 12 + 11}=\textcolor{white}{-\frac{5}{6}}$$return {
["body"] = 33,
["id"] = "QNC9yN_0919_0545",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -0.83333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 6 },
["render"] = "\\frac{-20}{24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{6}",
["y"] = -5,
["z"] = 6 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 9 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 - 9 + 12 + 11",
["typ"] = "plus" },
["render"] = "\\frac{-12 - 8}{10 - 9 + 12 + 11}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.42, bodu=76, $$\frac{8}{(-11 + 3\frac{2}{9} + 2\frac{4}{6}) \cdot 9}=\textcolor{white}{-\frac{4}{23}}$$return {
["body"] = 76,
["id"] = "U7lYmD_0919_0545",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -0.17391304347826,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 23 },
["render"] = "\\frac{8}{-46}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{23}",
["y"] = -4,
["z"] = 23 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{2}{9} + 2\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(-11 + 3\\frac{2}{9} + 2\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-11 + 3\\frac{2}{9} + 2\\frac{4}{6}) \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{8}{(-11 + 3\\frac{2}{9} + 2\\frac{4}{6}) \\cdot 9}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.43, bodu=35, $$\frac{\frac{10}{-9} - \frac{-11}{13}}{-14}=\textcolor{white}{\frac{31}{1638}}$$return {
["body"] = 35,
["id"] = "MUl71f_0919_0545",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 0.018925518925519,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 1638 },
["render"] = "\\frac{-31}{-1638}",
["typ"] = "cislo" },
["tex"] = "\\frac{31}{1638}",
["y"] = 31,
["z"] = 1638 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.43",
["zadani"] = {
["c1"] = {
["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"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{-9} - \\frac{-11}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{-9} - \\frac{-11}{13}}{-14}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.44, bodu=56, $$5 + (-10) - \frac{-15}{4\frac{5}{7}} + 7 + 14=\textcolor{white}{19\frac{2}{11}}$$return {
["body"] = 56,
["id"] = "RUhiiC_0919_0545",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 19.181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 211,
["jmenovatel"] = 11 },
["render"] = "\\frac{211}{11}",
["typ"] = "cislo" },
["tex"] = "19\\frac{2}{11}",
["x"] = 19,
["y"] = 2,
["z"] = 11 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "5 + (-10) - \\frac{-15}{4\\frac{5}{7}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 + 14",
["typ"] = "plus" },
["render"] = "5 + (-10) - \\frac{-15}{4\\frac{5}{7}} + 7 + 14",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.45, bodu=57, $$7 \cdot 5 - (4\frac{3}{7} + 7 + 6) - (-9)=\textcolor{white}{26\frac{4}{7}}$$return {
["body"] = 57,
["id"] = "6d6xX1_0919_0545",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 26.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 186,
["jmenovatel"] = 7 },
["render"] = "\\frac{186}{7}",
["typ"] = "cislo" },
["tex"] = "26\\frac{4}{7}",
["x"] = 26,
["y"] = 4,
["z"] = 7 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["render"] = "4\\frac{3}{7} + 7 + 6",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 7 + 6)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 5 - (4\\frac{3}{7} + 7 + 6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5 - (4\\frac{3}{7} + 7 + 6) - (-9)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.46, bodu=58, $$\frac{12 \cdot 7}{\frac{10}{1\frac{3}{8}}}=\textcolor{white}{11{,}55}$$return {
["body"] = 58,
["id"] = "AC7AZO_0919_0545",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 11.55,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 20 },
["render"] = "\\frac{924}{80}",
["typ"] = "cislo" },
["tex"] = "11\\frac{11}{20}",
["tex_float"] = "11{,}55",
["x"] = 11,
["y"] = 11,
["z"] = 20 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 \\cdot 7}{\\frac{10}{1\\frac{3}{8}}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.47, bodu=33, $$(10 \cdot (-7 + 9))^2 - (12 - 8)^4=\textcolor{white}{144}$$return {
["body"] = 33,
["id"] = "UqxNb3_0919_0545",
["obtiznost"] = 0.7332,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 1 },
["render"] = "\\frac{144}{1}",
["typ"] = "cislo" },
["tex"] = "144",
["tex_float"] = "144",
["x"] = 144 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.47",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 + 9",
["typ"] = "plus" },
["render"] = "(-7 + 9)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-7 + 9)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot (-7 + 9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(12 - 8)^4",
["typ"] = "mocnina" },
["render"] = "(10 \\cdot (-7 + 9))^2 - (12 - 8)^4",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.48, bodu=84, $$4\frac{3}{9} - (8 \cdot 10 + 4\frac{3}{8}) - (-12 + (-17))=\textcolor{white}{-51\frac{1}{24}}$$return {
["body"] = 84,
["id"] = "suKTan_0919_0545",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -51.041666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1225,
["jmenovatel"] = 24 },
["render"] = "\\frac{-1225}{24}",
["typ"] = "cislo" },
["tex"] = "-51\\frac{1}{24}",
["x"] = -51,
["y"] = 1,
["z"] = 24 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10 + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(8 \\cdot 10 + 4\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} - (8 \\cdot 10 + 4\\frac{3}{8})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-12 + (-17)",
["typ"] = "plus" },
["render"] = "(-12 + (-17))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} - (8 \\cdot 10 + 4\\frac{3}{8}) - (-12 + (-17))",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.49, bodu=40, $$(\frac{\frac{-5}{-13}}{-12} - 6) \cdot 9=\textcolor{white}{-54\frac{15}{52}}$$return {
["body"] = 40,
["id"] = "Qwrxaf_0919_0545",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -54.288461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2823,
["jmenovatel"] = 52 },
["render"] = "\\frac{-8469}{156}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{15}{52}",
["x"] = -54,
["y"] = 15,
["z"] = 52 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{-13}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{-13}}{-12} - 6",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{-5}{-13}}{-12} - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{\\frac{-5}{-13}}{-12} - 6) \\cdot 9",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.5, bodu=20, $$9 + (-13 \cdot 15) - (-9 - 12)=\textcolor{white}{-165}$$return {
["body"] = 20,
["id"] = "GIMVDH_0919_0545",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 1 },
["render"] = "\\frac{-165}{1}",
["typ"] = "cislo" },
["tex"] = "-165",
["x"] = -165 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 15",
["typ"] = "krat" },
["render"] = "9 + (-13 \\cdot 15)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["render"] = "(-9 - 12)",
["typ"] = "zavorka" },
["render"] = "9 + (-13 \\cdot 15) - (-9 - 12)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.51, bodu=128, $$(-9 - ((3\frac{3}{5} - 16) \cdot 1\frac{1}{4} - 7))^2=\textcolor{white}{182{,}25}$$return {
["body"] = 128,
["id"] = "igldDI_0919_0545",
["obtiznost"] = 1.2032,
["reseni"] = {
["float"] = 182.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 4 },
["render"] = "\\frac{729}{4}",
["typ"] = "cislo" },
["tex"] = "182\\frac{1}{4}",
["tex_float"] = "182{,}25",
["x"] = 182,
["y"] = 1,
["z"] = 4 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.51",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} - 16",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{5} - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{5} - 16) \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{5} - 16) \\cdot 1\\frac{1}{4} - 7",
["typ"] = "minus" },
["render"] = "((3\\frac{3}{5} - 16) \\cdot 1\\frac{1}{4} - 7)",
["typ"] = "zavorka" },
["render"] = "-9 - ((3\\frac{3}{5} - 16) \\cdot 1\\frac{1}{4} - 7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - ((3\\frac{3}{5} - 16) \\cdot 1\\frac{1}{4} - 7))^2",
["typ"] = "mocnina" } }
seed: LgHkQuxfKKfDpI3Hh440_0.52, bodu=64, $$17 - \frac{17}{3\frac{1}{6}} \cdot (11 + 10)=\textcolor{white}{-95\frac{14}{19}}$$return {
["body"] = 64,
["id"] = "bSv7H6_0919_0545",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -95.736842105263,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1819,
["jmenovatel"] = 19 },
["render"] = "\\frac{-1819}{19}",
["typ"] = "cislo" },
["tex"] = "-95\\frac{14}{19}",
["x"] = -95,
["y"] = 14,
["z"] = 19 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["render"] = "(11 + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{17}{3\\frac{1}{6}} \\cdot (11 + 10)",
["typ"] = "krat" },
["render"] = "17 - \\frac{17}{3\\frac{1}{6}} \\cdot (11 + 10)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.53, bodu=143, $$\frac{(4\frac{4}{11} \cdot \frac{3\frac{3}{6}}{-16})^2}{11}=\textcolor{white}{\frac{441}{5324}}$$return {
["body"] = 143,
["id"] = "3BC3L2_0919_0545",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 0.082832456799399,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 5324 },
["render"] = "\\frac{441}{5324}",
["typ"] = "cislo" },
["tex"] = "\\frac{441}{5324}",
["y"] = 441,
["z"] = 5324 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.53",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{-16}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{11} \\cdot \\frac{3\\frac{3}{6}}{-16}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{11} \\cdot \\frac{3\\frac{3}{6}}{-16})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{4}{11} \\cdot \\frac{3\\frac{3}{6}}{-16})^2}{11}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.54, bodu=119, $$\frac{4\frac{1}{5} \cdot 1\frac{3}{7} \cdot 3\frac{1}{5}}{11}=\textcolor{white}{1\frac{41}{55}}$$return {
["body"] = 119,
["id"] = "iz56Uq_0919_0545",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 1.7454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 55 },
["render"] = "\\frac{96}{55}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{55}",
["x"] = 1,
["y"] = 41,
["z"] = 55 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 1\\frac{3}{7} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5} \\cdot 1\\frac{3}{7} \\cdot 3\\frac{1}{5}}{11}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.55, bodu=68, $$6 \cdot 3\frac{2}{7} \cdot \frac{-15}{-13}=\textcolor{white}{22\frac{68}{91}}$$return {
["body"] = 68,
["id"] = "VRLxSB_0919_0545",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 22.747252747253,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2070,
["jmenovatel"] = 91 },
["render"] = "\\frac{2070}{91}",
["typ"] = "cislo" },
["tex"] = "22\\frac{68}{91}",
["x"] = 22,
["y"] = 68,
["z"] = 91 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-13}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot 3\\frac{2}{7} \\cdot \\frac{-15}{-13}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.56, bodu=73, $$7 - (12 + 12)^2 - \frac{-18}{9}=\textcolor{white}{-567}$$return {
["body"] = 73,
["id"] = "TvLEid_0919_0545",
["obtiznost"] = 0.7908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 1 },
["render"] = "\\frac{-567}{1}",
["typ"] = "cislo" },
["tex"] = "-567",
["x"] = -567 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 12)^2",
["typ"] = "mocnina" },
["render"] = "7 - (12 + 12)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{9}",
["typ"] = "lomeno" },
["render"] = "7 - (12 + 12)^2 - \\frac{-18}{9}",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.57, bodu=177, $$\frac{1\frac{5}{9}}{-10} \cdot (\frac{2\frac{3}{6}}{4\frac{4}{8}})^3=\textcolor{white}{-\frac{175}{6561}}$$return {
["body"] = 177,
["id"] = "VF1PoA_0919_0545",
["obtiznost"] = 1.5116,
["reseni"] = {
["float"] = -0.026672763298278,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 6561 },
["render"] = "\\frac{-875}{32805}",
["typ"] = "cislo" },
["tex"] = "-\\frac{175}{6561}",
["y"] = -175,
["z"] = 6561 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{3}{6}}{4\\frac{4}{8}})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{9}}{-10} \\cdot (\\frac{2\\frac{3}{6}}{4\\frac{4}{8}})^3",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.58, bodu=97, $$(14 - (2\frac{1}{6} + 1\frac{5}{9})) \cdot (\frac{-13}{-8} + (-12))=\textcolor{white}{-106\frac{91}{144}}$$return {
["body"] = 97,
["id"] = "Da5P5p_0919_0545",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -106.63194444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15355,
["jmenovatel"] = 144 },
["render"] = "\\frac{-15355}{144}",
["typ"] = "cislo" },
["tex"] = "-106\\frac{91}{144}",
["x"] = -106,
["y"] = 91,
["z"] = 144 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.58",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 1\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "14 - (2\\frac{1}{6} + 1\\frac{5}{9})",
["typ"] = "minus" },
["render"] = "(14 - (2\\frac{1}{6} + 1\\frac{5}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-8} + (-12)",
["typ"] = "plus" },
["render"] = "(\\frac{-13}{-8} + (-12))",
["typ"] = "zavorka" },
["render"] = "(14 - (2\\frac{1}{6} + 1\\frac{5}{9})) \\cdot (\\frac{-13}{-8} + (-12))",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.59, bodu=61, $$\frac{(-16 + 16)^4 + (-11 + 15)^4}{-12 + 10}=\textcolor{white}{-128}$$return {
["body"] = 61,
["id"] = "E9Vvp8_0919_0545",
["obtiznost"] = 0.6932,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -128,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{-2}",
["typ"] = "cislo" },
["tex"] = "-128",
["tex_float"] = "-128",
["x"] = -128 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-16 + 16",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-16 + 16)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 + 15",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 15)^4",
["typ"] = "mocnina" },
["render"] = "(-16 + 16)^4 + (-11 + 15)^4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 + 10",
["typ"] = "plus" },
["render"] = "\\frac{(-16 + 16)^4 + (-11 + 15)^4}{-12 + 10}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.6, bodu=74, $$(-15 - (-3) - \frac{-14}{2\frac{1}{6}}) \cdot (11 + 19)=\textcolor{white}{-166\frac{2}{13}}$$return {
["body"] = 74,
["id"] = "NCxFoP_0919_0545",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -166.15384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2160,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2160}{13}",
["typ"] = "cislo" },
["tex"] = "-166\\frac{2}{13}",
["x"] = -166,
["y"] = 2,
["z"] = 13 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-15 - (-3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "-15 - (-3) - \\frac{-14}{2\\frac{1}{6}}",
["typ"] = "minus" },
["render"] = "(-15 - (-3) - \\frac{-14}{2\\frac{1}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "11 + 19",
["typ"] = "plus" },
["render"] = "(11 + 19)",
["typ"] = "zavorka" },
["render"] = "(-15 - (-3) - \\frac{-14}{2\\frac{1}{6}}) \\cdot (11 + 19)",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.61, bodu=53, $$\frac{(10 - 12)^3 \cdot -6}{\frac{-9}{-10}}=\textcolor{white}{53\frac{1}{3}}$$return {
["body"] = 53,
["id"] = "wBNBm3_0919_0545",
["obtiznost"] = 0.6136,
["reseni"] = {
["float"] = 53.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 160,
["jmenovatel"] = 3 },
["render"] = "\\frac{480}{9}",
["typ"] = "cislo" },
["tex"] = "53\\frac{1}{3}",
["x"] = 53,
["y"] = 1,
["z"] = 3 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(10 - 12)^3 \\cdot -6",
["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{(10 - 12)^3 \\cdot -6}{\\frac{-9}{-10}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.62, bodu=76, $$4\frac{3}{7} - \frac{4 \cdot 11}{-9} \cdot -12=\textcolor{white}{-54\frac{5}{21}}$$return {
["body"] = 76,
["id"] = "VuTfHq_0919_0545",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -54.238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1139,
["jmenovatel"] = 21 },
["render"] = "\\frac{-1139}{21}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{5}{21}",
["x"] = -54,
["y"] = 5,
["z"] = 21 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 11}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 11}{-9} \\cdot -12",
["typ"] = "krat" },
["render"] = "4\\frac{3}{7} - \\frac{4 \\cdot 11}{-9} \\cdot -12",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.63, bodu=55, $$12 + \frac{\frac{-13}{-12}}{\frac{8}{-15}}=\textcolor{white}{9\frac{31}{32}}$$return {
["body"] = 55,
["id"] = "qj4FhJ_0919_0545",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 9.96875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 319,
["jmenovatel"] = 32 },
["render"] = "\\frac{319}{32}",
["typ"] = "cislo" },
["tex"] = "9\\frac{31}{32}",
["x"] = 9,
["y"] = 31,
["z"] = 32 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-13}{-12}}{\\frac{8}{-15}}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{\\frac{-13}{-12}}{\\frac{8}{-15}}",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.64, bodu=105, $$\frac{-11 \cdot 9}{1\frac{5}{9} - 9 \cdot 2\frac{4}{10}}=\textcolor{white}{4\frac{77}{82}}$$return {
["body"] = 105,
["id"] = "fm9shu_0919_0545",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 4.9390243902439,
["objekt"] = {
["hodnota"] = {
["citatel"] = 405,
["jmenovatel"] = 82 },
["render"] = "\\frac{-4455}{-902}",
["typ"] = "cislo" },
["tex"] = "4\\frac{77}{82}",
["x"] = 4,
["y"] = 77,
["z"] = 82 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{9} - 9 \\cdot 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "\\frac{-11 \\cdot 9}{1\\frac{5}{9} - 9 \\cdot 2\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.65, bodu=106, $$4\frac{2}{6} + 2\frac{1}{5} - 17 + \frac{\frac{9}{13}}{-8}=\textcolor{white}{-10\frac{863}{1560}}$$return {
["body"] = 106,
["id"] = "ftCNRj_0919_0545",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -10.553205128205,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16463,
["jmenovatel"] = 1560 },
["render"] = "\\frac{-16463}{1560}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{863}{1560}",
["x"] = -10,
["y"] = 863,
["z"] = 1560 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{9}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{13}}{-8}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{5} - 17 + \\frac{\\frac{9}{13}}{-8}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{6} + 2\\frac{1}{5} - 17 + \\frac{\\frac{9}{13}}{-8}",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.66, bodu=81, $$\frac{\frac{-13}{-6}}{-13} - (-13) - 1\frac{2}{5}=\textcolor{white}{11\frac{13}{30}}$$return {
["body"] = 81,
["id"] = "NL45oq_0919_0545",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 11.433333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 30 },
["render"] = "\\frac{343}{30}",
["typ"] = "cislo" },
["tex"] = "11\\frac{13}{30}",
["x"] = 11,
["y"] = 13,
["z"] = 30 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{-6}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{-6}}{-13} - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{-6}}{-13} - (-13) - 1\\frac{2}{5}",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.67, bodu=83, $$\frac{12}{17 - (-17 \cdot 3\frac{1}{6} \cdot 8)}=\textcolor{white}{\frac{36}{1343}}$$return {
["body"] = 83,
["id"] = "FxkzAn_0919_0545",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 0.02680565897245,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1343 },
["render"] = "\\frac{36}{1343}",
["typ"] = "cislo" },
["tex"] = "\\frac{36}{1343}",
["y"] = 36,
["z"] = 1343 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot 8",
["typ"] = "krat" },
["render"] = "-17 \\cdot 3\\frac{1}{6} \\cdot 8",
["typ"] = "krat" },
["render"] = "17 - (-17 \\cdot 3\\frac{1}{6} \\cdot 8)",
["typ"] = "minus" },
["render"] = "\\frac{12}{17 - (-17 \\cdot 3\\frac{1}{6} \\cdot 8)}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.68, bodu=111, $$(4\frac{5}{12} - 1\frac{1}{9}) \cdot \frac{8}{-13 + 9 \cdot -20}=\textcolor{white}{-\frac{238}{1737}}$$return {
["body"] = 111,
["id"] = "DoRfuY_0919_0545",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -0.13701784686241,
["objekt"] = {
["hodnota"] = {
["citatel"] = -238,
["jmenovatel"] = 1737 },
["render"] = "\\frac{-952}{6948}",
["typ"] = "cislo" },
["tex"] = "-\\frac{238}{1737}",
["y"] = -238,
["z"] = 1737 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - 1\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "9 \\cdot -20",
["typ"] = "krat" },
["render"] = "-13 + 9 \\cdot -20",
["typ"] = "plus" },
["render"] = "\\frac{8}{-13 + 9 \\cdot -20}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{12} - 1\\frac{1}{9}) \\cdot \\frac{8}{-13 + 9 \\cdot -20}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.69, bodu=30, $$9 - (10 \cdot -8 \cdot -13 + 8) + 15=\textcolor{white}{-1024}$$return {
["body"] = 30,
["id"] = "iLQX5Y_0919_0545",
["obtiznost"] = 0.69,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1024,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1024}{1}",
["typ"] = "cislo" },
["tex"] = "-1024",
["tex_float"] = "-1024",
["x"] = -1024 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -13",
["typ"] = "krat" },
["render"] = "10 \\cdot -8 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8 \\cdot -13 + 8",
["typ"] = "plus" },
["render"] = "(10 \\cdot -8 \\cdot -13 + 8)",
["typ"] = "zavorka" },
["render"] = "9 - (10 \\cdot -8 \\cdot -13 + 8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 - (10 \\cdot -8 \\cdot -13 + 8) + 15",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.7, bodu=113, $$\frac{\frac{10 - 4\frac{2}{7}}{3\frac{5}{10}} \cdot 16}{-11}=\textcolor{white}{-2\frac{202}{539}}$$return {
["body"] = 113,
["id"] = "piISmy_0919_0545",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -2.3747680890538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1280,
["jmenovatel"] = 539 },
["render"] = "\\frac{1280}{-539}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{202}{539}",
["x"] = -2,
["y"] = 202,
["z"] = 539 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 4\\frac{2}{7}}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 4\\frac{2}{7}}{3\\frac{5}{10}} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 - 4\\frac{2}{7}}{3\\frac{5}{10}} \\cdot 16}{-11}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.71, bodu=176, $$1\frac{5}{13} - (\frac{-5}{2\frac{3}{10}} - \frac{1\frac{5}{11}}{3\frac{1}{4}})=\textcolor{white}{4\frac{20}{3289}}$$return {
["body"] = 176,
["id"] = "qlriDm_0919_0545",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 4.0060808756461,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13176,
["jmenovatel"] = 3289 },
["render"] = "\\frac{171288}{42757}",
["typ"] = "cislo" },
["tex"] = "4\\frac{20}{3289}",
["x"] = 4,
["y"] = 20,
["z"] = 3289 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-5}{2\\frac{3}{10}} - \\frac{1\\frac{5}{11}}{3\\frac{1}{4}}",
["typ"] = "minus" },
["render"] = "(\\frac{-5}{2\\frac{3}{10}} - \\frac{1\\frac{5}{11}}{3\\frac{1}{4}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{13} - (\\frac{-5}{2\\frac{3}{10}} - \\frac{1\\frac{5}{11}}{3\\frac{1}{4}})",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.72, bodu=153, $$\frac{1\frac{1}{8}}{(\frac{5}{1\frac{4}{8}})^2} \cdot 3\frac{5}{6} \cdot -11=\textcolor{white}{-4\frac{431}{1600}}$$return {
["body"] = 153,
["id"] = "zOqHkN_0919_0545",
["obtiznost"] = 1.3636,
["reseni"] = {
["float"] = -4.269375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6831,
["jmenovatel"] = 1600 },
["render"] = "\\frac{-20493}{4800}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{431}{1600}",
["x"] = -4,
["y"] = 431,
["z"] = 1600 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{1\\frac{4}{8}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{1}{8}}{(\\frac{5}{1\\frac{4}{8}})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{6} \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{8}}{(\\frac{5}{1\\frac{4}{8}})^2} \\cdot 3\\frac{5}{6} \\cdot -11",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.73, bodu=118, $$-13 + 2\frac{5}{7} \cdot 14 + \frac{11}{4\frac{5}{12} + 15}=\textcolor{white}{25\frac{132}{233}}$$return {
["body"] = 118,
["id"] = "GqPw8D_0919_0545",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 25.56652360515,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5957,
["jmenovatel"] = 233 },
["render"] = "\\frac{5957}{233}",
["typ"] = "cislo" },
["tex"] = "25\\frac{132}{233}",
["x"] = 25,
["y"] = 132,
["z"] = 233 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 14",
["typ"] = "krat" },
["render"] = "-13 + 2\\frac{5}{7} \\cdot 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} + 15",
["typ"] = "plus" },
["render"] = "\\frac{11}{4\\frac{5}{12} + 15}",
["typ"] = "lomeno" },
["render"] = "-13 + 2\\frac{5}{7} \\cdot 14 + \\frac{11}{4\\frac{5}{12} + 15}",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.74, bodu=72, $$(\frac{(\frac{14}{16})^2}{-12} + 16) \cdot 7=\textcolor{white}{111\frac{425}{768}}$$return {
["body"] = 72,
["id"] = "BPl7qJ_0919_0545",
["obtiznost"] = 0.7852,
["reseni"] = {
["float"] = 111.55338541667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 85673,
["jmenovatel"] = 768 },
["render"] = "\\frac{85673}{768}",
["typ"] = "cislo" },
["tex"] = "111\\frac{425}{768}",
["x"] = 111,
["y"] = 425,
["z"] = 768 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{14}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{16})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{14}{16})^2}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{14}{16})^2}{-12} + 16",
["typ"] = "plus" },
["render"] = "(\\frac{(\\frac{14}{16})^2}{-12} + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{14}{16})^2}{-12} + 16) \\cdot 7",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.75, bodu=151, $$\frac{-20}{(3\frac{2}{7} + 10) \cdot \frac{4\frac{2}{5} + 3\frac{2}{4}}{16}}=\textcolor{white}{-3\frac{359}{7347}}$$return {
["body"] = 151,
["id"] = "ZULw1X_0919_0545",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -3.0488634816932,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22400,
["jmenovatel"] = 7347 },
["render"] = "\\frac{-22400}{7347}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{359}{7347}",
["x"] = -3,
["y"] = 359,
["z"] = 7347 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} + 10",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 3\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5} + 3\\frac{2}{4}}{16}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{2}{7} + 10) \\cdot \\frac{4\\frac{2}{5} + 3\\frac{2}{4}}{16}",
["typ"] = "krat" },
["render"] = "\\frac{-20}{(3\\frac{2}{7} + 10) \\cdot \\frac{4\\frac{2}{5} + 3\\frac{2}{4}}{16}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.76, bodu=94, $$7 - (-21) - \frac{1\frac{2}{8}}{7 + (-15 \cdot 17)}=\textcolor{white}{28\frac{5}{992}}$$return {
["body"] = 94,
["id"] = "5G4IO0_0919_0545",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 28.005040322581,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27781,
["jmenovatel"] = 992 },
["render"] = "\\frac{27781}{992}",
["typ"] = "cislo" },
["tex"] = "28\\frac{5}{992}",
["x"] = 28,
["y"] = 5,
["z"] = 992 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "7 - (-21)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 17",
["typ"] = "krat" },
["render"] = "7 + (-15 \\cdot 17)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{8}}{7 + (-15 \\cdot 17)}",
["typ"] = "lomeno" },
["render"] = "7 - (-21) - \\frac{1\\frac{2}{8}}{7 + (-15 \\cdot 17)}",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.77, bodu=123, $$(-4 + 1\frac{4}{13}) \cdot (\frac{-9}{3\frac{1}{6}} \cdot -9 + (-9))=\textcolor{white}{-44\frac{157}{247}}$$return {
["body"] = 123,
["id"] = "IZ4x23_0919_0545",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -44.635627530364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11025,
["jmenovatel"] = 247 },
["render"] = "\\frac{-11025}{247}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{157}{247}",
["x"] = -44,
["y"] = 157,
["z"] = 247 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(-4 + 1\\frac{4}{13})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{1}{6}} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{1}{6}} \\cdot -9 + (-9)",
["typ"] = "plus" },
["render"] = "(\\frac{-9}{3\\frac{1}{6}} \\cdot -9 + (-9))",
["typ"] = "zavorka" },
["render"] = "(-4 + 1\\frac{4}{13}) \\cdot (\\frac{-9}{3\\frac{1}{6}} \\cdot -9 + (-9))",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.78, bodu=188, $$4\frac{2}{6} - (-17 + 4\frac{5}{12} + 1\frac{2}{10} - 2\frac{5}{14}) \cdot -7=\textcolor{white}{-91{,}85}$$return {
["body"] = 188,
["id"] = "zgO68Q_0919_0545",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -91.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1837,
["jmenovatel"] = 20 },
["render"] = "\\frac{-16533}{180}",
["typ"] = "cislo" },
["tex"] = "-91\\frac{17}{20}",
["tex_float"] = "-91{,}85",
["x"] = -91,
["y"] = 17,
["z"] = 20 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-17 + 4\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - 2\\frac{5}{14}",
["typ"] = "minus" },
["render"] = "-17 + 4\\frac{5}{12} + 1\\frac{2}{10} - 2\\frac{5}{14}",
["typ"] = "plus" },
["render"] = "(-17 + 4\\frac{5}{12} + 1\\frac{2}{10} - 2\\frac{5}{14})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-17 + 4\\frac{5}{12} + 1\\frac{2}{10} - 2\\frac{5}{14}) \\cdot -7",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} - (-17 + 4\\frac{5}{12} + 1\\frac{2}{10} - 2\\frac{5}{14}) \\cdot -7",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.79, bodu=157, $$\frac{2\frac{3}{9} \cdot 11}{1\frac{4}{11} - \frac{1\frac{5}{10}}{8}}=\textcolor{white}{21\frac{511}{621}}$$return {
["body"] = 157,
["id"] = "xq6gDR_0919_0545",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 21.822866344605,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13552,
["jmenovatel"] = 621 },
["render"] = "\\frac{13552}{621}",
["typ"] = "cislo" },
["tex"] = "21\\frac{511}{621}",
["x"] = 21,
["y"] = 511,
["z"] = 621 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{8}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{11} - \\frac{1\\frac{5}{10}}{8}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{9} \\cdot 11}{1\\frac{4}{11} - \\frac{1\\frac{5}{10}}{8}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.8, bodu=145, $$(-22 + (-6))^2 - (4\frac{5}{14} - \frac{10}{5 \cdot -10} + (-11))=\textcolor{white}{790\frac{31}{70}}$$return {
["body"] = 145,
["id"] = "udXXZ1_0919_0545",
["obtiznost"] = 1.314,
["reseni"] = {
["float"] = 790.44285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55331,
["jmenovatel"] = 70 },
["render"] = "\\frac{55331}{70}",
["typ"] = "cislo" },
["tex"] = "790\\frac{31}{70}",
["x"] = 790,
["y"] = 31,
["z"] = 70 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.8",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-22 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-22 + (-6))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{10}{5 \\cdot -10}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{14} - \\frac{10}{5 \\cdot -10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} - \\frac{10}{5 \\cdot -10} + (-11)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{14} - \\frac{10}{5 \\cdot -10} + (-11))",
["typ"] = "zavorka" },
["render"] = "(-22 + (-6))^2 - (4\\frac{5}{14} - \\frac{10}{5 \\cdot -10} + (-11))",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.81, bodu=193, $$\frac{\frac{-10 + 16}{1\frac{5}{9}}}{1\frac{2}{9} - 4\frac{5}{13} \cdot 3\frac{3}{7}}=\textcolor{white}{-\frac{3159}{11311}}$$return {
["body"] = 193,
["id"] = "Py8A6y_0919_0545",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = -0.27928565113606,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3159,
["jmenovatel"] = 11311 },
["render"] = "\\frac{22113}{-79177}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3159}{11311}",
["y"] = -3159,
["z"] = 11311 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-10 + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + 16}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{9} - 4\\frac{5}{13} \\cdot 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-10 + 16}{1\\frac{5}{9}}}{1\\frac{2}{9} - 4\\frac{5}{13} \\cdot 3\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.82, bodu=131, $$\frac{(12 + 6 + 3) \cdot -8 \cdot 3}{1\frac{4}{12} + 3\frac{3}{11}}=\textcolor{white}{-109\frac{8}{19}}$$return {
["body"] = 131,
["id"] = "NfFMxh_0919_0545",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -109.42105263158,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2079,
["jmenovatel"] = 19 },
["render"] = "\\frac{-16632}{152}",
["typ"] = "cislo" },
["tex"] = "-109\\frac{8}{19}",
["x"] = -109,
["y"] = 8,
["z"] = 19 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + 3",
["typ"] = "plus" },
["render"] = "12 + 6 + 3",
["typ"] = "plus" },
["render"] = "(12 + 6 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(12 + 6 + 3) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(12 + 6 + 3) \\cdot -8 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} + 3\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{(12 + 6 + 3) \\cdot -8 \\cdot 3}{1\\frac{4}{12} + 3\\frac{3}{11}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.83, bodu=132, $$\frac{7}{-16 - 2\frac{1}{6} + \frac{-13 \cdot -12 + (-13)}{2\frac{2}{7}}}=\textcolor{white}{\frac{336}{2131}}$$return {
["body"] = 132,
["id"] = "fEdHnm_0919_0545",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 0.15767245424683,
["objekt"] = {
["hodnota"] = {
["citatel"] = 336,
["jmenovatel"] = 2131 },
["render"] = "\\frac{336}{2131}",
["typ"] = "cislo" },
["tex"] = "\\frac{336}{2131}",
["y"] = 336,
["z"] = 2131 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-16 - 2\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -12 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot -12 + (-13)}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-16 - 2\\frac{1}{6} + \\frac{-13 \\cdot -12 + (-13)}{2\\frac{2}{7}}",
["typ"] = "plus" },
["render"] = "\\frac{7}{-16 - 2\\frac{1}{6} + \\frac{-13 \\cdot -12 + (-13)}{2\\frac{2}{7}}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.84, bodu=232, $$\frac{(\frac{4\frac{2}{10}}{-15})^2 \cdot 1\frac{3}{8} + (-13)}{-16 + (2\frac{4}{8} - 11)^2}=\textcolor{white}{-\frac{21487}{93750}}$$return {
["body"] = 232,
["id"] = "zIWQfH_0919_0545",
["obtiznost"] = 1.8268,
["reseni"] = {
["float"] = -0.22919466666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21487,
["jmenovatel"] = 93750 },
["render"] = "\\frac{-257844}{1125000}",
["typ"] = "cislo" },
["tex"] = "-\\frac{21487}{93750}",
["y"] = -21487,
["z"] = 93750 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10}}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{2}{10}}{-15})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{2}{10}}{-15})^2 \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{2}{10}}{-15})^2 \\cdot 1\\frac{3}{8} + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{8} - 11)^2",
["typ"] = "mocnina" },
["render"] = "-16 + (2\\frac{4}{8} - 11)^2",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{4\\frac{2}{10}}{-15})^2 \\cdot 1\\frac{3}{8} + (-13)}{-16 + (2\\frac{4}{8} - 11)^2}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.85, bodu=167, $$(3\frac{4}{9} + (-7)) \cdot 3\frac{2}{9} \cdot 16 \cdot 2\frac{2}{12} - (-16)=\textcolor{white}{-381\frac{41}{243}}$$return {
["body"] = 167,
["id"] = "SRcQ9M_0919_0545",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -381.16872427984,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92624,
["jmenovatel"] = 243 },
["render"] = "\\frac{-92624}{243}",
["typ"] = "cislo" },
["tex"] = "-381\\frac{41}{243}",
["x"] = -381,
["y"] = 41,
["z"] = 243 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + (-7)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{9} + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} \\cdot 16 \\cdot 2\\frac{2}{12}",
["typ"] = "krat" },
["render"] = "(3\\frac{4}{9} + (-7)) \\cdot 3\\frac{2}{9} \\cdot 16 \\cdot 2\\frac{2}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{9} + (-7)) \\cdot 3\\frac{2}{9} \\cdot 16 \\cdot 2\\frac{2}{12} - (-16)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.86, bodu=131, $$-11 \cdot 13 \cdot \frac{1\frac{3}{9} + 11}{(-9 - 11)^2}=\textcolor{white}{-4\frac{491}{1200}}$$return {
["body"] = 131,
["id"] = "wPSSj3_0919_0545",
["obtiznost"] = 1.2204,
["reseni"] = {
["float"] = -4.4091666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5291,
["jmenovatel"] = 1200 },
["render"] = "\\frac{-5291}{1200}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{491}{1200}",
["x"] = -4,
["y"] = 491,
["z"] = 1200 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{9} + 11}{(-9 - 11)^2}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot 13 \\cdot \\frac{1\\frac{3}{9} + 11}{(-9 - 11)^2}",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.87, bodu=189, $$2\frac{1}{12} \cdot (\frac{2\frac{4}{8}}{-8})^2 - (\frac{16}{1\frac{4}{6}} + 5)=\textcolor{white}{-14\frac{6091}{15360}}$$return {
["body"] = 189,
["id"] = "q8fh7j_0919_0545",
["obtiznost"] = 1.5824,
["reseni"] = {
["float"] = -14.396549479167,
["objekt"] = {
["hodnota"] = {
["citatel"] = -221131,
["jmenovatel"] = 15360 },
["render"] = "\\frac{-221131}{15360}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{6091}{15360}",
["x"] = -14,
["y"] = 6091,
["z"] = 15360 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{4}{8}}{-8})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{12} \\cdot (\\frac{2\\frac{4}{8}}{-8})^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{4}{6}} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{16}{1\\frac{4}{6}} + 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{12} \\cdot (\\frac{2\\frac{4}{8}}{-8})^2 - (\\frac{16}{1\\frac{4}{6}} + 5)",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.88, bodu=172, $$\frac{\frac{1\frac{3}{7} + 4\frac{1}{6}}{\frac{-15}{-11 - 17}}}{4\frac{4}{7}}=\textcolor{white}{2\frac{41}{144}}$$return {
["body"] = 172,
["id"] = "16ZO3B_0919_0545",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 2.2847222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 329,
["jmenovatel"] = 144 },
["render"] = "\\frac{658}{288}",
["typ"] = "cislo" },
["tex"] = "2\\frac{41}{144}",
["x"] = 2,
["y"] = 41,
["z"] = 144 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-11 - 17",
["typ"] = "minus" },
["render"] = "\\frac{-15}{-11 - 17}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{7} + 4\\frac{1}{6}}{\\frac{-15}{-11 - 17}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{7} + 4\\frac{1}{6}}{\\frac{-15}{-11 - 17}}}{4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.89, bodu=163, $$(\frac{15}{-18 - (-20) - 4\frac{1}{7}})^3 - \frac{2\frac{1}{5}}{20}=\textcolor{white}{-343{,}11}$$return {
["body"] = 163,
["id"] = "d2mDQg_0919_0545",
["obtiznost"] = 1.4276,
["reseni"] = {
["float"] = -343.11,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34311,
["jmenovatel"] = 100 },
["render"] = "\\frac{-34311}{100}",
["typ"] = "cislo" },
["tex"] = "-343\\frac{11}{100}",
["tex_float"] = "-343{,}11",
["x"] = -343,
["y"] = 11,
["z"] = 100 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.89",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-18 - (-20)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-18 - (-20) - 4\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "\\frac{15}{-18 - (-20) - 4\\frac{1}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{15}{-18 - (-20) - 4\\frac{1}{7}})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{20}",
["typ"] = "lomeno" },
["render"] = "(\\frac{15}{-18 - (-20) - 4\\frac{1}{7}})^3 - \\frac{2\\frac{1}{5}}{20}",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.9, bodu=143, $$\frac{23 + \frac{9 + 2\frac{3}{11}}{-19 \cdot -10} + 2\frac{3}{12}}{-3}=\textcolor{white}{-8\frac{5473}{12540}}$$return {
["body"] = 143,
["id"] = "D7LXe6_0919_0545",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -8.4364433811802,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105793,
["jmenovatel"] = 12540 },
["render"] = "\\frac{105793}{-12540}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5473}{12540}",
["x"] = -8,
["y"] = 5473,
["z"] = 12540 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-19 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{9 + 2\\frac{3}{11}}{-19 \\cdot -10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 2\\frac{3}{11}}{-19 \\cdot -10} + 2\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "23 + \\frac{9 + 2\\frac{3}{11}}{-19 \\cdot -10} + 2\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{23 + \\frac{9 + 2\\frac{3}{11}}{-19 \\cdot -10} + 2\\frac{3}{12}}{-3}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.91, bodu=176, $$\frac{\frac{-16 - 22}{2\frac{2}{10}}}{4\frac{1}{10} \cdot (2\frac{4}{10} - (-10))}=\textcolor{white}{-\frac{4750}{13981}}$$return {
["body"] = 176,
["id"] = "K8N0pi_0919_0545",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -0.33974679922752,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4750,
["jmenovatel"] = 13981 },
["render"] = "\\frac{-4750}{13981}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4750}{13981}",
["y"] = -4750,
["z"] = 13981 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "-16 - 22",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 - 22}{2\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} - (-10)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} - (-10))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{10} \\cdot (2\\frac{4}{10} - (-10))",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-16 - 22}{2\\frac{2}{10}}}{4\\frac{1}{10} \\cdot (2\\frac{4}{10} - (-10))}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.92, bodu=146, $$9 + 11 \cdot 1\frac{3}{7} - (-10 \cdot 4\frac{1}{11} - (-11))=\textcolor{white}{54\frac{48}{77}}$$return {
["body"] = 146,
["id"] = "XzXGiR_0919_0545",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 54.623376623377,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4206,
["jmenovatel"] = 77 },
["render"] = "\\frac{4206}{77}",
["typ"] = "cislo" },
["tex"] = "54\\frac{48}{77}",
["x"] = 54,
["y"] = 48,
["z"] = 77 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{1}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{1}{11} - (-11)",
["typ"] = "minus" },
["render"] = "(-10 \\cdot 4\\frac{1}{11} - (-11))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot 1\\frac{3}{7} - (-10 \\cdot 4\\frac{1}{11} - (-11))",
["typ"] = "minus" },
["render"] = "9 + 11 \\cdot 1\\frac{3}{7} - (-10 \\cdot 4\\frac{1}{11} - (-11))",
["typ"] = "plus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.93, bodu=185, $$\frac{-9 - (-14 - 4\frac{1}{8})}{(-10 + 17 - 4\frac{1}{10} - 1\frac{5}{10})^2}=\textcolor{white}{4\frac{257}{392}}$$return {
["body"] = 185,
["id"] = "8TaASf_0919_0545",
["obtiznost"] = 1.5596,
["reseni"] = {
["float"] = 4.655612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1825,
["jmenovatel"] = 392 },
["render"] = "\\frac{1825}{392}",
["typ"] = "cislo" },
["tex"] = "4\\frac{257}{392}",
["x"] = 4,
["y"] = 257,
["z"] = 392 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(-14 - 4\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "-9 - (-14 - 4\\frac{1}{8})",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "17 - 4\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "-10 + 17 - 4\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 + 17 - 4\\frac{1}{10} - 1\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 + 17 - 4\\frac{1}{10} - 1\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-9 - (-14 - 4\\frac{1}{8})}{(-10 + 17 - 4\\frac{1}{10} - 1\\frac{5}{10})^2}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.94, bodu=149, $$\frac{13 \cdot -4}{2\frac{1}{7} \cdot \frac{13}{2\frac{4}{13}}}=\textcolor{white}{-4\frac{4}{13}}$$return {
["body"] = 149,
["id"] = "gLZ8qN_0919_0545",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -4.3076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -56,
["jmenovatel"] = 13 },
["render"] = "\\frac{-728}{169}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4}{13}",
["x"] = -4,
["y"] = 4,
["z"] = 13 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "13 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{7} \\cdot \\frac{13}{2\\frac{4}{13}}",
["typ"] = "krat" },
["render"] = "\\frac{13 \\cdot -4}{2\\frac{1}{7} \\cdot \\frac{13}{2\\frac{4}{13}}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.95, bodu=120, $$\frac{-10 + (-19 - 10)}{15 \cdot 5 \cdot 1\frac{2}{9}}=\textcolor{white}{-\frac{117}{275}}$$return {
["body"] = 120,
["id"] = "HlsutA_0919_0545",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.42545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 275 },
["render"] = "\\frac{-117}{275}",
["typ"] = "cislo" },
["tex"] = "-\\frac{117}{275}",
["y"] = -117,
["z"] = 275 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-19 - 10",
["typ"] = "minus" },
["render"] = "-10 + (-19 - 10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "15 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 5 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{-10 + (-19 - 10)}{15 \\cdot 5 \\cdot 1\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: LgHkQuxfKKfDpI3Hh440_0.96, bodu=185, $$-23 - 21 - (\frac{3\frac{1}{8}}{3\frac{3}{9}} + \frac{2\frac{2}{11}}{-19})=\textcolor{white}{-44\frac{2751}{3344}}$$return {
["body"] = 185,
["id"] = "OBvrvS_0919_0545",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -44.822667464115,
["objekt"] = {
["hodnota"] = {
["citatel"] = -149887,
["jmenovatel"] = 3344 },
["render"] = "\\frac{-149887}{3344}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{2751}{3344}",
["x"] = -44,
["y"] = 2751,
["z"] = 3344 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-23 - 21",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{8}}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{11}}{-19}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{8}}{3\\frac{3}{9}} + \\frac{2\\frac{2}{11}}{-19}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{1}{8}}{3\\frac{3}{9}} + \\frac{2\\frac{2}{11}}{-19})",
["typ"] = "zavorka" },
["render"] = "-23 - 21 - (\\frac{3\\frac{1}{8}}{3\\frac{3}{9}} + \\frac{2\\frac{2}{11}}{-19})",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.97, bodu=154, $$\frac{-13}{10 + (-13 - 2\frac{3}{8})} - (-14 \cdot 3\frac{2}{10})=\textcolor{white}{47\frac{47}{215}}$$return {
["body"] = 154,
["id"] = "d2xBK2_0919_0545",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 47.218604651163,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10152,
["jmenovatel"] = 215 },
["render"] = "\\frac{10152}{215}",
["typ"] = "cislo" },
["tex"] = "47\\frac{47}{215}",
["x"] = 47,
["y"] = 47,
["z"] = 215 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-13 - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "10 + (-13 - 2\\frac{3}{8})",
["typ"] = "plus" },
["render"] = "\\frac{-13}{10 + (-13 - 2\\frac{3}{8})}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 3\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "\\frac{-13}{10 + (-13 - 2\\frac{3}{8})} - (-14 \\cdot 3\\frac{2}{10})",
["typ"] = "minus" } }
seed: LgHkQuxfKKfDpI3Hh440_0.98, bodu=260, $$\frac{2\frac{2}{5}}{4\frac{5}{13}} \cdot (2\frac{4}{12} + \frac{12}{1\frac{1}{9}} - 4\frac{1}{6})=\textcolor{white}{4\frac{1294}{1425}}$$return {
["body"] = 260,
["id"] = "vckJ44_0919_0545",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 4.9080701754386,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6994,
["jmenovatel"] = 1425 },
["render"] = "\\frac{13988}{2850}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1294}{1425}",
["x"] = 4,
["y"] = 1294,
["z"] = 1425 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{12} + \\frac{12}{1\\frac{1}{9}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} + \\frac{12}{1\\frac{1}{9}} - 4\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{12} + \\frac{12}{1\\frac{1}{9}} - 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{2}{5}}{4\\frac{5}{13}} \\cdot (2\\frac{4}{12} + \\frac{12}{1\\frac{1}{9}} - 4\\frac{1}{6})",
["typ"] = "krat" } }
seed: LgHkQuxfKKfDpI3Hh440_0.99, bodu=190, $$-9 \cdot (13 + 4\frac{2}{10} \cdot 2\frac{1}{2}) + 1\frac{4}{8} \cdot -13=\textcolor{white}{-231}$$return {
["body"] = 190,
["id"] = "yXQ0T3_0919_0545",
["obtiznost"] = 1.59,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -231,
["jmenovatel"] = 1 },
["render"] = "\\frac{-462}{2}",
["typ"] = "cislo" },
["tex"] = "-231",
["x"] = -231 },
["seed"] = "LgHkQuxfKKfDpI3Hh440_0.99",
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot 2\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "13 + 4\\frac{2}{10} \\cdot 2\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{2}{10} \\cdot 2\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (13 + 4\\frac{2}{10} \\cdot 2\\frac{1}{2})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} \\cdot -13",
["typ"] = "krat" },
["render"] = "-9 \\cdot (13 + 4\\frac{2}{10} \\cdot 2\\frac{1}{2}) + 1\\frac{4}{8} \\cdot -13",
["typ"] = "plus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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Toothless_ecstatic_claps.gif: 
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