- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: ZupKp2vwEjReDoXkZEDE_0, bodu=10, $$\frac{-5}{6 - 8 - 8}=\textcolor{white}{0{,}5}$$return {
["body"] = 10,
["id"] = "6hwOZL_1004_1559",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{-5}{-10}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8 - 8",
["typ"] = "minus" },
["render"] = "\\frac{-5}{6 - 8 - 8}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.01, bodu=10, $$(10 + (\frac{6}{-9})^3) \cdot 7=\textcolor{white}{67\frac{25}{27}}$$return {
["body"] = 10,
["id"] = "U270gQ_1004_1559",
["obtiznost"] = 0.024,
["reseni"] = {
["float"] = 67.925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1834,
["jmenovatel"] = 27 },
["render"] = "\\frac{1834}{27}",
["typ"] = "cislo" },
["tex"] = "67\\frac{25}{27}",
["x"] = 67,
["y"] = 25,
["z"] = 27 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.01",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{-9})^3",
["typ"] = "mocnina" },
["render"] = "10 + (\\frac{6}{-9})^3",
["typ"] = "plus" },
["render"] = "(10 + (\\frac{6}{-9})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(10 + (\\frac{6}{-9})^3) \\cdot 7",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.02, bodu=24, $$-4 + 6 + (\frac{3}{5})^4=\textcolor{white}{2\frac{81}{625}}$$return {
["body"] = 24,
["id"] = "9QlIHx_1004_1559",
["obtiznost"] = 0.3024,
["reseni"] = {
["float"] = 2.1296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1331,
["jmenovatel"] = 625 },
["render"] = "\\frac{1331}{625}",
["typ"] = "cislo" },
["tex"] = "2\\frac{81}{625}",
["x"] = 2,
["y"] = 81,
["z"] = 625 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{3}{5})^4",
["typ"] = "mocnina" },
["render"] = "6 + (\\frac{3}{5})^4",
["typ"] = "plus" },
["render"] = "-4 + 6 + (\\frac{3}{5})^4",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.03, bodu=28, $$\frac{4 + 7}{(7 \cdot 4)^2}=\textcolor{white}{\frac{11}{784}}$$return {
["body"] = 28,
["id"] = "JgGIH6_1004_1559",
["obtiznost"] = 0.344,
["reseni"] = {
["float"] = 0.014030612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 784 },
["render"] = "\\frac{11}{784}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{784}",
["y"] = 11,
["z"] = 784 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4 + 7}{(7 \\cdot 4)^2}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.04, bodu=10, $$\frac{-9}{\frac{-9}{-7}}=\textcolor{white}{-7}$$return {
["body"] = 10,
["id"] = "5qgIJy_1004_1559",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-63}{9}",
["typ"] = "cislo" },
["tex"] = "-7",
["tex_float"] = "-7",
["x"] = -7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{-9}{-7}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.05, bodu=11, $$\frac{4}{-8} \cdot 8=\textcolor{white}{-4}$$return {
["body"] = 11,
["id"] = "6ljqIf_1004_1559",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{2}",
["typ"] = "cislo" },
["tex"] = "-4",
["tex_float"] = "-4",
["x"] = -4 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-8} \\cdot 8",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.06, bodu=25, $$\frac{11 \cdot (5 - 3\frac{5}{7})^2}{6}=\textcolor{white}{3\frac{3}{98}}$$return {
["body"] = 25,
["id"] = "FI2PrW_1004_1559",
["obtiznost"] = 0.312,
["reseni"] = {
["float"] = 3.030612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 297,
["jmenovatel"] = 98 },
["render"] = "\\frac{891}{294}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{98}",
["x"] = 3,
["y"] = 3,
["z"] = 98 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.06",
["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"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "5 - 3\\frac{5}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 3\\frac{5}{7})^2",
["typ"] = "mocnina" },
["render"] = "11 \\cdot (5 - 3\\frac{5}{7})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot (5 - 3\\frac{5}{7})^2}{6}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.07, bodu=12, $$\frac{10}{(\frac{9}{3})^4}=\textcolor{white}{\frac{10}{81}}$$return {
["body"] = 12,
["id"] = "oyNEUE_1004_1559",
["obtiznost"] = 0.1028,
["reseni"] = {
["float"] = 0.12345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 81 },
["render"] = "\\frac{10}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{81}",
["y"] = 10,
["z"] = 81 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9}{3})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{(\\frac{9}{3})^4}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.08, bodu=6, $$9 \cdot 6 \cdot (7 - 11)=\textcolor{white}{-216}$$return {
["body"] = 6,
["id"] = "c7mf9W_1004_1559",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 1 },
["render"] = "\\frac{-216}{1}",
["typ"] = "cislo" },
["tex"] = "-216",
["tex_float"] = "-216",
["x"] = -216 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["render"] = "(7 - 11)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (7 - 11)",
["typ"] = "krat" },
["render"] = "9 \\cdot 6 \\cdot (7 - 11)",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.09, bodu=27, $$1\frac{4}{6} + (\frac{-12 + 9}{10})^2=\textcolor{white}{1\frac{227}{300}}$$return {
["body"] = 27,
["id"] = "4EvFwV_1004_1559",
["obtiznost"] = 0.3336,
["reseni"] = {
["float"] = 1.7566666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 527,
["jmenovatel"] = 300 },
["render"] = "\\frac{527}{300}",
["typ"] = "cislo" },
["tex"] = "1\\frac{227}{300}",
["x"] = 1,
["y"] = 227,
["z"] = 300 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-12 + 9}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12 + 9}{10})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{4}{6} + (\\frac{-12 + 9}{10})^2",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.1, bodu=6, $$(12 + 6) \cdot (8 - (-7))=\textcolor{white}{270}$$return {
["body"] = 6,
["id"] = "iqIwaS_1004_1559",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 270,
["jmenovatel"] = 1 },
["render"] = "\\frac{270}{1}",
["typ"] = "cislo" },
["tex"] = "270",
["tex_float"] = "270",
["x"] = 270 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.1",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 + 6",
["typ"] = "plus" },
["render"] = "(12 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 - (-7)",
["typ"] = "minus" },
["render"] = "(8 - (-7))",
["typ"] = "zavorka" },
["render"] = "(12 + 6) \\cdot (8 - (-7))",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.11, bodu=13, $$\frac{5 \cdot 8}{7 + 8}=\textcolor{white}{2\frac{2}{3}}$$return {
["body"] = 13,
["id"] = "W3vYup_1004_1559",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 2.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "\\frac{40}{15}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{3}",
["x"] = 2,
["y"] = 2,
["z"] = 3 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "\\frac{5 \\cdot 8}{7 + 8}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.12, bodu=13, $$\frac{8 - (-5)}{4 + 7}=\textcolor{white}{1\frac{2}{11}}$$return {
["body"] = 13,
["id"] = "GngDjw_1004_1559",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 1.1818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "\\frac{13}{11}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2}{11}",
["x"] = 1,
["y"] = 2,
["z"] = 11 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["render"] = "\\frac{8 - (-5)}{4 + 7}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.13, bodu=14, $$\frac{4 \cdot 7}{8}=\textcolor{white}{3{,}5}$$return {
["body"] = 14,
["id"] = "y2Q2mD_1004_1559",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{28}{8}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.13",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 7}{8}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.14, bodu=7, $$6 \cdot (8 - (-7 + 11)^2)=\textcolor{white}{-48}$$return {
["body"] = 7,
["id"] = "JJxV4e_1004_1559",
["obtiznost"] = 0.1468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["x"] = -48 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 11)^2",
["typ"] = "mocnina" },
["render"] = "8 - (-7 + 11)^2",
["typ"] = "minus" },
["render"] = "(8 - (-7 + 11)^2)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (8 - (-7 + 11)^2)",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.15, bodu=15, $$\frac{11}{5 + 10 - (-5 + 8)}=\textcolor{white}{\frac{11}{12}}$$return {
["body"] = 15,
["id"] = "a7pnIH_1004_1559",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 0.91666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 12 },
["render"] = "\\frac{11}{12}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{12}",
["y"] = 11,
["z"] = 12 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 + 8",
["typ"] = "plus" },
["render"] = "(-5 + 8)",
["typ"] = "zavorka" },
["render"] = "5 + 10 - (-5 + 8)",
["typ"] = "minus" },
["render"] = "\\frac{11}{5 + 10 - (-5 + 8)}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.16, bodu=7, $$9 \cdot 5 \cdot 8=\textcolor{white}{360}$$return {
["body"] = 7,
["id"] = "XVapVI_1004_1559",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 360,
["jmenovatel"] = 1 },
["render"] = "\\frac{360}{1}",
["typ"] = "cislo" },
["tex"] = "360",
["x"] = 360 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5 \\cdot 8",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.17, bodu=48, $$\frac{-7}{3\frac{4}{9} + \frac{8}{4\frac{1}{4}}}=\textcolor{white}{-1\frac{256}{815}}$$return {
["body"] = 48,
["id"] = "kff0sW_1004_1559",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -1.3141104294479,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1071,
["jmenovatel"] = 815 },
["render"] = "\\frac{-1071}{815}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{256}{815}",
["x"] = -1,
["y"] = 256,
["z"] = 815 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{9} + \\frac{8}{4\\frac{1}{4}}",
["typ"] = "plus" },
["render"] = "\\frac{-7}{3\\frac{4}{9} + \\frac{8}{4\\frac{1}{4}}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.18, bodu=16, $$\frac{\frac{2}{-6}}{-10}=\textcolor{white}{\frac{1}{30}}$$return {
["body"] = 16,
["id"] = "cNmUTv_1004_1559",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.033333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 30 },
["render"] = "\\frac{-1}{-30}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{30}",
["y"] = 1,
["z"] = 30 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2}{-6}}{-10}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.19, bodu=17, $$9 \cdot \frac{8}{-5}=\textcolor{white}{-14{,}4}$$return {
["body"] = 17,
["id"] = "iHKy87_1004_1559",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -14.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 5 },
["render"] = "\\frac{-72}{5}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{2}{5}",
["tex_float"] = "-14{,}4",
["x"] = -14,
["y"] = 2,
["z"] = 5 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-5}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{8}{-5}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.2, bodu=33, $$(\frac{3\frac{3}{6}}{7})^3 + 7 - 9 + (-10)=\textcolor{white}{-11{,}875}$$return {
["body"] = 33,
["id"] = "tkqPQu_1004_1559",
["obtiznost"] = 0.4036,
["reseni"] = {
["float"] = -11.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 8 },
["render"] = "\\frac{-95}{8}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{7}{8}",
["tex_float"] = "-11{,}875",
["x"] = -11,
["y"] = 7,
["z"] = 8 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3\\frac{3}{6}}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{3}{6}}{7})^3 + 7 - 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{3}{6}}{7})^3 + 7 - 9 + (-10)",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.21, bodu=9, $$(9 + 11 + (-7)) \cdot -6 \cdot 8=\textcolor{white}{-624}$$return {
["body"] = 9,
["id"] = "dl1Jkh_1004_1559",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -624,
["jmenovatel"] = 1 },
["render"] = "\\frac{-624}{1}",
["typ"] = "cislo" },
["tex"] = "-624",
["x"] = -624 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 + 11 + (-7)",
["typ"] = "plus" },
["render"] = "(9 + 11 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(9 + 11 + (-7)) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(9 + 11 + (-7)) \\cdot -6 \\cdot 8",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.22, bodu=9, $$(9 - (-7)) \cdot -6 \cdot 5=\textcolor{white}{-480}$$return {
["body"] = 9,
["id"] = "Od3gXr_1004_1559",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -480,
["jmenovatel"] = 1 },
["render"] = "\\frac{-480}{1}",
["typ"] = "cislo" },
["tex"] = "-480",
["x"] = -480 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 - (-7)",
["typ"] = "minus" },
["render"] = "(9 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(9 - (-7)) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(9 - (-7)) \\cdot -6 \\cdot 5",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.23, bodu=35, $$14 \cdot \frac{10 - 4\frac{5}{8}}{7}=\textcolor{white}{10{,}75}$$return {
["body"] = 35,
["id"] = "10XIBh_1004_1559",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 10.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 4 },
["render"] = "\\frac{602}{56}",
["typ"] = "cislo" },
["tex"] = "10\\frac{3}{4}",
["tex_float"] = "10{,}75",
["x"] = 10,
["y"] = 3,
["z"] = 4 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 4\\frac{5}{8}}{7}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{10 - 4\\frac{5}{8}}{7}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.24, bodu=20, $$\frac{\frac{8}{7 \cdot 9}}{8}=\textcolor{white}{\frac{1}{63}}$$return {
["body"] = 20,
["id"] = "NdBmKA_1004_1559",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 0.015873015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 63 },
["render"] = "\\frac{8}{504}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{63}",
["y"] = 1,
["z"] = 63 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{8}{7 \\cdot 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{7 \\cdot 9}}{8}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.25, bodu=10, $$9 \cdot (8 + 4 \cdot 13)=\textcolor{white}{540}$$return {
["body"] = 10,
["id"] = "Nueh9w_1004_1559",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 540,
["jmenovatel"] = 1 },
["render"] = "\\frac{540}{1}",
["typ"] = "cislo" },
["tex"] = "540",
["x"] = 540 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4 \\cdot 13",
["typ"] = "krat" },
["render"] = "8 + 4 \\cdot 13",
["typ"] = "plus" },
["render"] = "(8 + 4 \\cdot 13)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (8 + 4 \\cdot 13)",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.26, bodu=22, $$-12 \cdot ((\frac{8}{6})^2 + (-8))=\textcolor{white}{74\frac{2}{3}}$$return {
["body"] = 22,
["id"] = "TjoTaT_1004_1559",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 74.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 224,
["jmenovatel"] = 3 },
["render"] = "\\frac{672}{9}",
["typ"] = "cislo" },
["tex"] = "74\\frac{2}{3}",
["x"] = 74,
["y"] = 2,
["z"] = 3 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{6})^2 + (-8)",
["typ"] = "plus" },
["render"] = "((\\frac{8}{6})^2 + (-8))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot ((\\frac{8}{6})^2 + (-8))",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.27, bodu=62, $$\frac{7}{(1\frac{3}{6} - 2\frac{1}{2} + 9)^2 + 7}=\textcolor{white}{\frac{7}{71}}$$return {
["body"] = 62,
["id"] = "2UCLKf_1004_1559",
["obtiznost"] = 0.696,
["reseni"] = {
["float"] = 0.098591549295775,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 71 },
["render"] = "\\frac{7}{71}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{71}",
["y"] = 7,
["z"] = 71 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 2\\frac{1}{2}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 2\\frac{1}{2} + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} - 2\\frac{1}{2} + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{6} - 2\\frac{1}{2} + 9)^2 + 7",
["typ"] = "plus" },
["render"] = "\\frac{7}{(1\\frac{3}{6} - 2\\frac{1}{2} + 9)^2 + 7}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.28, bodu=60, $$(-5 - 2\frac{2}{3}) \cdot \frac{1\frac{3}{6}}{-7}=\textcolor{white}{1\frac{9}{14}}$$return {
["body"] = 60,
["id"] = "jsJy2m_1004_1559",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 1.6428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 14 },
["render"] = "\\frac{69}{42}",
["typ"] = "cislo" },
["tex"] = "1\\frac{9}{14}",
["x"] = 1,
["y"] = 9,
["z"] = 14 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-5 - 2\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(-5 - 2\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{-7}",
["typ"] = "lomeno" },
["render"] = "(-5 - 2\\frac{2}{3}) \\cdot \\frac{1\\frac{3}{6}}{-7}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.29, bodu=40, $$(15 + \frac{-9}{2\frac{5}{11}}) \cdot 7=\textcolor{white}{79\frac{1}{3}}$$return {
["body"] = 40,
["id"] = "DCl7Qa_1004_1559",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 79.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 238,
["jmenovatel"] = 3 },
["render"] = "\\frac{238}{3}",
["typ"] = "cislo" },
["tex"] = "79\\frac{1}{3}",
["x"] = 79,
["y"] = 1,
["z"] = 3 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.29",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{2\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{-9}{2\\frac{5}{11}}",
["typ"] = "plus" },
["render"] = "(15 + \\frac{-9}{2\\frac{5}{11}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(15 + \\frac{-9}{2\\frac{5}{11}}) \\cdot 7",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.3, bodu=41, $$4\frac{3}{7} \cdot 5 \cdot (-10 - 9)=\textcolor{white}{-420\frac{5}{7}}$$return {
["body"] = 41,
["id"] = "ClJsUQ_1004_1559",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -420.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2945,
["jmenovatel"] = 7 },
["render"] = "\\frac{-2945}{7}",
["typ"] = "cislo" },
["tex"] = "-420\\frac{5}{7}",
["x"] = -420,
["y"] = 5,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 - 9",
["typ"] = "minus" },
["render"] = "(-10 - 9)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-10 - 9)",
["typ"] = "krat" },
["render"] = "4\\frac{3}{7} \\cdot 5 \\cdot (-10 - 9)",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.31, bodu=42, $$-7 \cdot (\frac{4\frac{3}{5}}{13} - (-9))=\textcolor{white}{-65\frac{31}{65}}$$return {
["body"] = 42,
["id"] = "dCwGRP_1004_1559",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -65.476923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4256,
["jmenovatel"] = 65 },
["render"] = "\\frac{-4256}{65}",
["typ"] = "cislo" },
["tex"] = "-65\\frac{31}{65}",
["x"] = -65,
["y"] = 31,
["z"] = 65 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{13} - (-9)",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{3}{5}}{13} - (-9))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (\\frac{4\\frac{3}{5}}{13} - (-9))",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.32, bodu=13, $$4 \cdot 7 + (-4) - (-12 - (-8))^2=\textcolor{white}{8}$$return {
["body"] = 13,
["id"] = "zvHhkZ_1004_1559",
["obtiznost"] = 0.3268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["x"] = 8 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 7 + (-4)",
["typ"] = "plus" },
["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"] = 2,
["render"] = "(-12 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "4 \\cdot 7 + (-4) - (-12 - (-8))^2",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.33, bodu=66, $$2\frac{4}{9} + 4\frac{4}{8} - 11 - 9 \cdot 4\frac{5}{5}=\textcolor{white}{-49\frac{1}{18}}$$return {
["body"] = 66,
["id"] = "j7v9qT_1004_1559",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -49.055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -883,
["jmenovatel"] = 18 },
["render"] = "\\frac{-883}{18}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{1}{18}",
["x"] = -49,
["y"] = 1,
["z"] = 18 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 11",
["typ"] = "minus" },
["render"] = "2\\frac{4}{9} + 4\\frac{4}{8} - 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{5}{5}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{9} + 4\\frac{4}{8} - 11 - 9 \\cdot 4\\frac{5}{5}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.34, bodu=46, $$(\frac{-4 - (10 - 16)}{1\frac{4}{8}})^2=\textcolor{white}{1\frac{7}{9}}$$return {
["body"] = 46,
["id"] = "xHDzRQ_1004_1559",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 1.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 9 },
["render"] = "\\frac{16}{9}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{9}",
["x"] = 1,
["y"] = 7,
["z"] = 9 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.34",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "10 - 16",
["typ"] = "minus" },
["render"] = "(10 - 16)",
["typ"] = "zavorka" },
["render"] = "-4 - (10 - 16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-4 - (10 - 16)}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4 - (10 - 16)}{1\\frac{4}{8}})^2",
["typ"] = "mocnina" } }
seed: ZupKp2vwEjReDoXkZEDE_0.35, bodu=28, $$(8 + 12 - 4) \cdot \frac{11}{4}=\textcolor{white}{44}$$return {
["body"] = 28,
["id"] = "9KVqrv_1004_1559",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 1 },
["render"] = "\\frac{176}{4}",
["typ"] = "cislo" },
["tex"] = "44",
["tex_float"] = "44",
["x"] = 44 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 12 - 4",
["typ"] = "minus" },
["render"] = "(8 + 12 - 4)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4}",
["typ"] = "lomeno" },
["render"] = "(8 + 12 - 4) \\cdot \\frac{11}{4}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.36, bodu=29, $$12 - (\frac{-6 + 12}{-7} + 7)=\textcolor{white}{5\frac{6}{7}}$$return {
["body"] = 29,
["id"] = "z3xG1f_1004_1559",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 5.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 7 },
["render"] = "\\frac{41}{7}",
["typ"] = "cislo" },
["tex"] = "5\\frac{6}{7}",
["x"] = 5,
["y"] = 6,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + 12}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + 12}{-7} + 7",
["typ"] = "plus" },
["render"] = "(\\frac{-6 + 12}{-7} + 7)",
["typ"] = "zavorka" },
["render"] = "12 - (\\frac{-6 + 12}{-7} + 7)",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.37, bodu=30, $$(14 - (6 + 8))^2 - \frac{-11}{6}=\textcolor{white}{1\frac{5}{6}}$$return {
["body"] = 30,
["id"] = "QCVAMd_1004_1559",
["obtiznost"] = 0.3704,
["reseni"] = {
["float"] = 1.8333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "\\frac{11}{6}",
["typ"] = "cislo" },
["tex"] = "1\\frac{5}{6}",
["x"] = 1,
["y"] = 5,
["z"] = 6 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "(6 + 8)",
["typ"] = "zavorka" },
["render"] = "14 - (6 + 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (6 + 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{6}",
["typ"] = "lomeno" },
["render"] = "(14 - (6 + 8))^2 - \\frac{-11}{6}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.38, bodu=31, $$\frac{\frac{13 - (-11)}{7}}{12}=\textcolor{white}{\frac{2}{7}}$$return {
["body"] = 31,
["id"] = "9KJPM1_1004_1559",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.28571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 7 },
["render"] = "\\frac{24}{84}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{7}",
["y"] = 2,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{13 - (-11)}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13 - (-11)}{7}}{12}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.39, bodu=35, $$-12 \cdot -10 \cdot (\frac{8}{6})^3=\textcolor{white}{284\frac{4}{9}}$$return {
["body"] = 35,
["id"] = "KOru0i_1004_1559",
["obtiznost"] = 0.4264,
["reseni"] = {
["float"] = 284.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2560,
["jmenovatel"] = 9 },
["render"] = "\\frac{7680}{27}",
["typ"] = "cislo" },
["tex"] = "284\\frac{4}{9}",
["x"] = 284,
["y"] = 4,
["z"] = 9 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{6})^3",
["typ"] = "mocnina" },
["render"] = "-12 \\cdot -10 \\cdot (\\frac{8}{6})^3",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.4, bodu=51, $$\frac{9}{\frac{11 + 11}{\frac{9}{3\frac{1}{6}}}}=\textcolor{white}{1\frac{34}{209}}$$return {
["body"] = 51,
["id"] = "hHnNIV_1004_1559",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 1.1626794258373,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 209 },
["render"] = "\\frac{243}{209}",
["typ"] = "cislo" },
["tex"] = "1\\frac{34}{209}",
["x"] = 1,
["y"] = 34,
["z"] = 209 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.4",
["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"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 + 11",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{11 + 11}{\\frac{9}{3\\frac{1}{6}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{11 + 11}{\\frac{9}{3\\frac{1}{6}}}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.41, bodu=52, $$\frac{1\frac{5}{8} - (-3) + 6}{5} - 12=\textcolor{white}{-9{,}875}$$return {
["body"] = 52,
["id"] = "1I36kx_1004_1559",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -9.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -79,
["jmenovatel"] = 8 },
["render"] = "\\frac{-79}{8}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{7}{8}",
["tex_float"] = "-9{,}875",
["x"] = -9,
["y"] = 7,
["z"] = 8 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - (-3) + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8} - (-3) + 6}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8} - (-3) + 6}{5} - 12",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.42, bodu=53, $$\frac{3\frac{2}{2}}{\frac{14}{10}} \cdot (3\frac{3}{6} + 12)=\textcolor{white}{44\frac{2}{7}}$$return {
["body"] = 53,
["id"] = "qZ1BSv_1004_1559",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 44.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 310,
["jmenovatel"] = 7 },
["render"] = "\\frac{620}{14}",
["typ"] = "cislo" },
["tex"] = "44\\frac{2}{7}",
["x"] = 44,
["y"] = 2,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{2}}{\\frac{14}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + 12",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{6} + 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{2}}{\\frac{14}{10}} \\cdot (3\\frac{3}{6} + 12)",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.43, bodu=69, $$(11 - (10 + 8)^2) \cdot (-5 - 2\frac{1}{7})=\textcolor{white}{2235\frac{5}{7}}$$return {
["body"] = 69,
["id"] = "v0gsH5_1004_1559",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 2235.7142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15650,
["jmenovatel"] = 7 },
["render"] = "\\frac{15650}{7}",
["typ"] = "cislo" },
["tex"] = "2235\\frac{5}{7}",
["x"] = 2235,
["y"] = 5,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 8)^2",
["typ"] = "mocnina" },
["render"] = "11 - (10 + 8)^2",
["typ"] = "minus" },
["render"] = "(11 - (10 + 8)^2)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-5 - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(-5 - 2\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(11 - (10 + 8)^2) \\cdot (-5 - 2\\frac{1}{7})",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.44, bodu=56, $$\frac{(\frac{3\frac{4}{8}}{-7})^3 + 12 - (-12)}{-14}=\textcolor{white}{-1\frac{79}{112}}$$return {
["body"] = 56,
["id"] = "xUSmPw_1004_1559",
["obtiznost"] = 0.6436,
["reseni"] = {
["float"] = -1.7053571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -191,
["jmenovatel"] = 112 },
["render"] = "\\frac{191}{-112}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{79}{112}",
["x"] = -1,
["y"] = 79,
["z"] = 112 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3\\frac{4}{8}}{-7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 - (-12)",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{4}{8}}{-7})^3 + 12 - (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{4}{8}}{-7})^3 + 12 - (-12)}{-14}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.45, bodu=106, $$2\frac{2}{5} \cdot 1\frac{3}{5} - (2\frac{5}{10} - 14 + (-12))=\textcolor{white}{27{,}34}$$return {
["body"] = 106,
["id"] = "tQxyR9_1004_1559",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 27.34,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1367,
["jmenovatel"] = 50 },
["render"] = "\\frac{1367}{50}",
["typ"] = "cislo" },
["tex"] = "27\\frac{17}{50}",
["tex_float"] = "27{,}34",
["x"] = 27,
["y"] = 17,
["z"] = 50 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} \\cdot 1\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - 14 + (-12)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} - 14 + (-12))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} \\cdot 1\\frac{3}{5} - (2\\frac{5}{10} - 14 + (-12))",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.46, bodu=38, $$\frac{11 + 3}{(-12 + (-5)) \cdot (-8 - (-12))}=\textcolor{white}{-\frac{7}{34}}$$return {
["body"] = 38,
["id"] = "GSR90M_1004_1559",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -0.20588235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 34 },
["render"] = "\\frac{14}{-68}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{34}",
["y"] = -7,
["z"] = 34 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "11 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-12 + (-5)",
["typ"] = "plus" },
["render"] = "(-12 + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-8 - (-12))",
["typ"] = "zavorka" },
["render"] = "(-12 + (-5)) \\cdot (-8 - (-12))",
["typ"] = "krat" },
["render"] = "\\frac{11 + 3}{(-12 + (-5)) \\cdot (-8 - (-12))}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.47, bodu=59, $$-16 - (12 + 8 - 3\frac{2}{2}) - 12 - 2\frac{5}{11}=\textcolor{white}{-46\frac{5}{11}}$$return {
["body"] = 59,
["id"] = "n11v8e_1004_1559",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -46.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -511,
["jmenovatel"] = 11 },
["render"] = "\\frac{-511}{11}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{5}{11}",
["x"] = -46,
["y"] = 5,
["z"] = 11 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "12 + 8 - 3\\frac{2}{2}",
["typ"] = "minus" },
["render"] = "(12 + 8 - 3\\frac{2}{2})",
["typ"] = "zavorka" },
["render"] = "-16 - (12 + 8 - 3\\frac{2}{2})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 - (12 + 8 - 3\\frac{2}{2}) - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-16 - (12 + 8 - 3\\frac{2}{2}) - 12 - 2\\frac{5}{11}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.48, bodu=60, $$7 - (9 + (-12 + 4\frac{2}{7}) \cdot -9 - 3)=\textcolor{white}{-68\frac{3}{7}}$$return {
["body"] = 60,
["id"] = "bguVMF_1004_1559",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -68.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -479,
["jmenovatel"] = 7 },
["render"] = "\\frac{-479}{7}",
["typ"] = "cislo" },
["tex"] = "-68\\frac{3}{7}",
["x"] = -68,
["y"] = 3,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(-12 + 4\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-12 + 4\\frac{2}{7}) \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-12 + 4\\frac{2}{7}) \\cdot -9 - 3",
["typ"] = "minus" },
["render"] = "9 + (-12 + 4\\frac{2}{7}) \\cdot -9 - 3",
["typ"] = "plus" },
["render"] = "(9 + (-12 + 4\\frac{2}{7}) \\cdot -9 - 3)",
["typ"] = "zavorka" },
["render"] = "7 - (9 + (-12 + 4\\frac{2}{7}) \\cdot -9 - 3)",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.49, bodu=46, $$\frac{15}{\frac{-17}{(\frac{5}{-11})^2}}=\textcolor{white}{-\frac{375}{2057}}$$return {
["body"] = 46,
["id"] = "zuv48P_1004_1559",
["obtiznost"] = 0.5484,
["reseni"] = {
["float"] = -0.18230432668935,
["objekt"] = {
["hodnota"] = {
["citatel"] = -375,
["jmenovatel"] = 2057 },
["render"] = "\\frac{375}{-2057}",
["typ"] = "cislo" },
["tex"] = "-\\frac{375}{2057}",
["y"] = -375,
["z"] = 2057 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{-11})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-17}{(\\frac{5}{-11})^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{\\frac{-17}{(\\frac{5}{-11})^2}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.5, bodu=62, $$\frac{2\frac{4}{6}}{-7} \cdot (-11 + 10) \cdot -5=\textcolor{white}{-1\frac{19}{21}}$$return {
["body"] = 62,
["id"] = "1spt6m_1004_1559",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -1.9047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 21 },
["render"] = "\\frac{-40}{21}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{19}{21}",
["x"] = -1,
["y"] = 19,
["z"] = 21 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{6}}{-7}",
["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{2\\frac{4}{6}}{-7} \\cdot (-11 + 10)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{6}}{-7} \\cdot (-11 + 10) \\cdot -5",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.51, bodu=88, $$3\frac{1}{4} - (1\frac{3}{8} + 5 + 13) \cdot (-12 + 9)=\textcolor{white}{61{,}375}$$return {
["body"] = 88,
["id"] = "iZAW9F_1004_1559",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 61.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 491,
["jmenovatel"] = 8 },
["render"] = "\\frac{1964}{32}",
["typ"] = "cislo" },
["tex"] = "61\\frac{3}{8}",
["tex_float"] = "61{,}375",
["x"] = 61,
["y"] = 3,
["z"] = 8 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + 5 + 13",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + 5 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 + 9",
["typ"] = "plus" },
["render"] = "(-12 + 9)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{8} + 5 + 13) \\cdot (-12 + 9)",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} - (1\\frac{3}{8} + 5 + 13) \\cdot (-12 + 9)",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.52, bodu=44, $$(\frac{-16}{8})^3 - (6 - 6 \cdot 4)=\textcolor{white}{10}$$return {
["body"] = 44,
["id"] = "gPerR3_1004_1559",
["obtiznost"] = 0.5236,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{10}{1}",
["typ"] = "cislo" },
["tex"] = "10",
["tex_float"] = "10",
["x"] = 10 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-16}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["render"] = "6 - 6 \\cdot 4",
["typ"] = "minus" },
["render"] = "(6 - 6 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-16}{8})^3 - (6 - 6 \\cdot 4)",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.53, bodu=44, $$\frac{-8 \cdot 15 \cdot (-12 + (-10))}{-5}=\textcolor{white}{-528}$$return {
["body"] = 44,
["id"] = "WVh32m_1004_1559",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -528,
["jmenovatel"] = 1 },
["render"] = "\\frac{2640}{-5}",
["typ"] = "cislo" },
["tex"] = "-528",
["x"] = -528 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "(-12 + (-10))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (-12 + (-10))",
["typ"] = "krat" },
["render"] = "-8 \\cdot 15 \\cdot (-12 + (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 15 \\cdot (-12 + (-10))}{-5}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.54, bodu=23, $$-9 \cdot 6 + (-18 + 16)^3 - (-10) + 14=\textcolor{white}{-38}$$return {
["body"] = 23,
["id"] = "aBMO1K_1004_1559",
["obtiznost"] = 0.5436,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 1 },
["render"] = "\\frac{-38}{1}",
["typ"] = "cislo" },
["tex"] = "-38",
["x"] = -38 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-18 + 16",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-18 + 16)^3",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot 6 + (-18 + 16)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6 + (-18 + 16)^3 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6 + (-18 + 16)^3 - (-10) + 14",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.55, bodu=50, $$\frac{(17 - (14 - 12) - 6)^2}{-8}=\textcolor{white}{-10{,}125}$$return {
["body"] = 50,
["id"] = "R2BOJL_1004_1559",
["obtiznost"] = 0.5828,
["reseni"] = {
["float"] = -10.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 8 },
["render"] = "\\frac{81}{-8}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1}{8}",
["tex_float"] = "-10{,}125",
["x"] = -10,
["y"] = 1,
["z"] = 8 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.55",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["render"] = "(14 - 12)",
["typ"] = "zavorka" },
["render"] = "17 - (14 - 12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "17 - (14 - 12) - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(17 - (14 - 12) - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(17 - (14 - 12) - 6)^2}{-8}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.56, bodu=122, $$(1\frac{5}{9} + 11) \cdot 1\frac{3}{7} \cdot \frac{10}{3\frac{1}{9}}=\textcolor{white}{57\frac{32}{49}}$$return {
["body"] = 122,
["id"] = "3ELMb9_1004_1559",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 57.65306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2825,
["jmenovatel"] = 49 },
["render"] = "\\frac{25425}{441}",
["typ"] = "cislo" },
["tex"] = "57\\frac{32}{49}",
["x"] = 57,
["y"] = 32,
["z"] = 49 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 11",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{9} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{7} \\cdot \\frac{10}{3\\frac{1}{9}}",
["typ"] = "krat" },
["render"] = "(1\\frac{5}{9} + 11) \\cdot 1\\frac{3}{7} \\cdot \\frac{10}{3\\frac{1}{9}}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.57, bodu=123, $$\frac{3\frac{5}{12}}{3\frac{4}{8} \cdot (4 - 4 + 4\frac{4}{12})}=\textcolor{white}{\frac{41}{182}}$$return {
["body"] = 123,
["id"] = "CyL6xd_1004_1559",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 0.22527472527473,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 182 },
["render"] = "\\frac{246}{1092}",
["typ"] = "cislo" },
["tex"] = "\\frac{41}{182}",
["y"] = 41,
["z"] = 182 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "4 - 4 + 4\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(4 - 4 + 4\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{8} \\cdot (4 - 4 + 4\\frac{4}{12})",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{12}}{3\\frac{4}{8} \\cdot (4 - 4 + 4\\frac{4}{12})}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.58, bodu=99, $$\frac{10 + 1\frac{4}{6}}{(16 + 7)^2} \cdot (17 - 15)^4=\textcolor{white}{\frac{560}{1587}}$$return {
["body"] = 99,
["id"] = "OB7smi_1004_1559",
["obtiznost"] = 0.9988,
["reseni"] = {
["float"] = 0.3528670447385,
["objekt"] = {
["hodnota"] = {
["citatel"] = 560,
["jmenovatel"] = 1587 },
["render"] = "\\frac{560}{1587}",
["typ"] = "cislo" },
["tex"] = "\\frac{560}{1587}",
["y"] = 560,
["z"] = 1587 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "16 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(16 + 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10 + 1\\frac{4}{6}}{(16 + 7)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "17 - 15",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(17 - 15)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{10 + 1\\frac{4}{6}}{(16 + 7)^2} \\cdot (17 - 15)^4",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.59, bodu=73, $$-11 - (-3 \cdot 7) - \frac{2\frac{1}{8}}{12}=\textcolor{white}{9\frac{79}{96}}$$return {
["body"] = 73,
["id"] = "DhokDh_1004_1559",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 9.8229166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 943,
["jmenovatel"] = 96 },
["render"] = "\\frac{943}{96}",
["typ"] = "cislo" },
["tex"] = "9\\frac{79}{96}",
["x"] = 9,
["y"] = 79,
["z"] = 96 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 7",
["typ"] = "krat" },
["render"] = "-11 - (-3 \\cdot 7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{12}",
["typ"] = "lomeno" },
["render"] = "-11 - (-3 \\cdot 7) - \\frac{2\\frac{1}{8}}{12}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.6, bodu=74, $$-18 - (-7 - (-7 \cdot -13 \cdot 2\frac{3}{10}))=\textcolor{white}{198{,}3}$$return {
["body"] = 74,
["id"] = "nAlczv_1004_1559",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 198.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1983,
["jmenovatel"] = 10 },
["render"] = "\\frac{1983}{10}",
["typ"] = "cislo" },
["tex"] = "198\\frac{3}{10}",
["tex_float"] = "198{,}3",
["x"] = 198,
["y"] = 3,
["z"] = 10 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -13 \\cdot 2\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "-7 - (-7 \\cdot -13 \\cdot 2\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(-7 - (-7 \\cdot -13 \\cdot 2\\frac{3}{10}))",
["typ"] = "zavorka" },
["render"] = "-18 - (-7 - (-7 \\cdot -13 \\cdot 2\\frac{3}{10}))",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.61, bodu=160, $$-12 + 2\frac{1}{4} - 1\frac{4}{9} - (-13 \cdot 2\frac{2}{7} + 4\frac{1}{7})=\textcolor{white}{14\frac{95}{252}}$$return {
["body"] = 160,
["id"] = "PWx64T_1004_1559",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 14.376984126984,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3623,
["jmenovatel"] = 252 },
["render"] = "\\frac{3623}{252}",
["typ"] = "cislo" },
["tex"] = "14\\frac{95}{252}",
["x"] = 14,
["y"] = 95,
["z"] = 252 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - 1\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "-12 + 2\\frac{1}{4} - 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 2\\frac{2}{7} + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-13 \\cdot 2\\frac{2}{7} + 4\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "-12 + 2\\frac{1}{4} - 1\\frac{4}{9} - (-13 \\cdot 2\\frac{2}{7} + 4\\frac{1}{7})",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.62, bodu=159, $$(-16 - 15)^2 - (11 + 12 - 4\frac{3}{7}) - 3\frac{1}{7}=\textcolor{white}{939\frac{2}{7}}$$return {
["body"] = 159,
["id"] = "B5TqIl_1004_1559",
["obtiznost"] = 1.4048,
["reseni"] = {
["float"] = 939.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6575,
["jmenovatel"] = 7 },
["render"] = "\\frac{6575}{7}",
["typ"] = "cislo" },
["tex"] = "939\\frac{2}{7}",
["x"] = 939,
["y"] = 2,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-16 - 15",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "11 + 12 - 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(11 + 12 - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(-16 - 15)^2 - (11 + 12 - 4\\frac{3}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(-16 - 15)^2 - (11 + 12 - 4\\frac{3}{7}) - 3\\frac{1}{7}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.63, bodu=104, $$\frac{4\frac{3}{9} + (-9 + (-4)) + 4\frac{3}{9}}{-10 \cdot -14}=\textcolor{white}{-\frac{13}{420}}$$return {
["body"] = 104,
["id"] = "f7Clhe_1004_1559",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -0.030952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 420 },
["render"] = "\\frac{-13}{420}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{420}",
["y"] = -13,
["z"] = 420 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-9 + (-4)",
["typ"] = "plus" },
["render"] = "4\\frac{3}{9} + (-9 + (-4))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + (-9 + (-4)) + 4\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{9} + (-9 + (-4)) + 4\\frac{3}{9}}{-10 \\cdot -14}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.64, bodu=105, $$9 - (16 - (4\frac{4}{7} - \frac{2\frac{5}{9} - 5}{-20}))=\textcolor{white}{-2\frac{347}{630}}$$return {
["body"] = 105,
["id"] = "Bu9CLg_1004_1559",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -2.5507936507937,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1607,
["jmenovatel"] = 630 },
["render"] = "\\frac{-1607}{630}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{347}{630}",
["x"] = -2,
["y"] = 347,
["z"] = 630 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9} - 5}{-20}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{7} - \\frac{2\\frac{5}{9} - 5}{-20}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} - \\frac{2\\frac{5}{9} - 5}{-20})",
["typ"] = "zavorka" },
["render"] = "16 - (4\\frac{4}{7} - \\frac{2\\frac{5}{9} - 5}{-20})",
["typ"] = "minus" },
["render"] = "(16 - (4\\frac{4}{7} - \\frac{2\\frac{5}{9} - 5}{-20}))",
["typ"] = "zavorka" },
["render"] = "9 - (16 - (4\\frac{4}{7} - \\frac{2\\frac{5}{9} - 5}{-20}))",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.65, bodu=106, $$10 \cdot (-6 + 2\frac{3}{11}) \cdot 4\frac{4}{9} \cdot 7=\textcolor{white}{-1159\frac{59}{99}}$$return {
["body"] = 106,
["id"] = "PiK1X4_1004_1559",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -1159.595959596,
["objekt"] = {
["hodnota"] = {
["citatel"] = -114800,
["jmenovatel"] = 99 },
["render"] = "\\frac{-114800}{99}",
["typ"] = "cislo" },
["tex"] = "-1159\\frac{59}{99}",
["x"] = -1159,
["y"] = 59,
["z"] = 99 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-6 + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(-6 + 2\\frac{3}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot 7",
["typ"] = "krat" },
["render"] = "(-6 + 2\\frac{3}{11}) \\cdot 4\\frac{4}{9} \\cdot 7",
["typ"] = "krat" },
["render"] = "10 \\cdot (-6 + 2\\frac{3}{11}) \\cdot 4\\frac{4}{9} \\cdot 7",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.66, bodu=108, $$12 + (\frac{-9}{18})^2 \cdot 2\frac{4}{8} \cdot 4\frac{1}{2}=\textcolor{white}{14\frac{13}{16}}$$return {
["body"] = 108,
["id"] = "UqkoTj_1004_1559",
["obtiznost"] = 1.062,
["reseni"] = {
["float"] = 14.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 237,
["jmenovatel"] = 16 },
["render"] = "\\frac{237}{16}",
["typ"] = "cislo" },
["tex"] = "14\\frac{13}{16}",
["x"] = 14,
["y"] = 13,
["z"] = 16 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{18})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot 4\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "(\\frac{-9}{18})^2 \\cdot 2\\frac{4}{8} \\cdot 4\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "12 + (\\frac{-9}{18})^2 \\cdot 2\\frac{4}{8} \\cdot 4\\frac{1}{2}",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.67, bodu=83, $$\frac{13}{2\frac{5}{11} - (-15 - (-2))} \cdot -19=\textcolor{white}{-15\frac{167}{170}}$$return {
["body"] = 83,
["id"] = "QuhuQq_1004_1559",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -15.982352941176,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2717,
["jmenovatel"] = 170 },
["render"] = "\\frac{-2717}{170}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{167}{170}",
["x"] = -15,
["y"] = 167,
["z"] = 170 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "-15 - (-2)",
["typ"] = "minus" },
["render"] = "(-15 - (-2))",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{11} - (-15 - (-2))",
["typ"] = "minus" },
["render"] = "\\frac{13}{2\\frac{5}{11} - (-15 - (-2))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{5}{11} - (-15 - (-2))} \\cdot -19",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.68, bodu=84, $$\frac{6}{-9} - (4\frac{2}{10} - (-11) + 12 + 2)=\textcolor{white}{-29\frac{13}{15}}$$return {
["body"] = 84,
["id"] = "Aw65aY_1004_1559",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -29.866666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -448,
["jmenovatel"] = 15 },
["render"] = "\\frac{-448}{15}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{13}{15}",
["x"] = -29,
["y"] = 13,
["z"] = 15 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "12 + 2",
["typ"] = "plus" },
["render"] = "4\\frac{2}{10} - (-11) + 12 + 2",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{10} - (-11) + 12 + 2)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{-9} - (4\\frac{2}{10} - (-11) + 12 + 2)",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.69, bodu=109, $$\frac{3\frac{1}{3} - (7 - (-14))^2}{9 \cdot -14}=\textcolor{white}{3\frac{179}{378}}$$return {
["body"] = 109,
["id"] = "4TVnTa_1004_1559",
["obtiznost"] = 1.0668,
["reseni"] = {
["float"] = 3.473544973545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1313,
["jmenovatel"] = 378 },
["render"] = "\\frac{-1313}{-378}",
["typ"] = "cislo" },
["tex"] = "3\\frac{179}{378}",
["x"] = 3,
["y"] = 179,
["z"] = 378 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "7 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-14))^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{3} - (7 - (-14))^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "9 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{3} - (7 - (-14))^2}{9 \\cdot -14}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.7, bodu=113, $$\frac{\frac{7}{4\frac{2}{5} \cdot -12} \cdot -17}{1\frac{5}{13}}=\textcolor{white}{1\frac{2983}{4752}}$$return {
["body"] = 113,
["id"] = "7clFpv_1004_1559",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 1.6277356902357,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7735,
["jmenovatel"] = 4752 },
["render"] = "\\frac{7735}{4752}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2983}{4752}",
["x"] = 1,
["y"] = 2983,
["z"] = 4752 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{7}{4\\frac{2}{5} \\cdot -12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4\\frac{2}{5} \\cdot -12} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{4\\frac{2}{5} \\cdot -12} \\cdot -17}{1\\frac{5}{13}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.71, bodu=88, $$(\frac{12}{-13} - \frac{-10}{4}) \cdot (2\frac{4}{7} + (-8))=\textcolor{white}{-8\frac{51}{91}}$$return {
["body"] = 88,
["id"] = "Q9eAUf_1004_1559",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -8.5604395604396,
["objekt"] = {
["hodnota"] = {
["citatel"] = -779,
["jmenovatel"] = 91 },
["render"] = "\\frac{-1558}{182}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{51}{91}",
["x"] = -8,
["y"] = 51,
["z"] = 91 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{4}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{-13} - \\frac{-10}{4}",
["typ"] = "minus" },
["render"] = "(\\frac{12}{-13} - \\frac{-10}{4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + (-8)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + (-8))",
["typ"] = "zavorka" },
["render"] = "(\\frac{12}{-13} - \\frac{-10}{4}) \\cdot (2\\frac{4}{7} + (-8))",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.72, bodu=84, $$(\frac{-6}{19 - (-14 + 14)})^2 + (-10 + (-18) + 6)=\textcolor{white}{-21\frac{325}{361}}$$return {
["body"] = 84,
["id"] = "QmkVpU_1004_1559",
["obtiznost"] = 0.8788,
["reseni"] = {
["float"] = -21.90027700831,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7906,
["jmenovatel"] = 361 },
["render"] = "\\frac{-7906}{361}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{325}{361}",
["x"] = -21,
["y"] = 325,
["z"] = 361 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.72",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 + 14",
["typ"] = "plus" },
["render"] = "(-14 + 14)",
["typ"] = "zavorka" },
["render"] = "19 - (-14 + 14)",
["typ"] = "minus" },
["render"] = "\\frac{-6}{19 - (-14 + 14)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{19 - (-14 + 14)})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-10 + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 + (-18) + 6",
["typ"] = "plus" },
["render"] = "(\\frac{-6}{19 - (-14 + 14)})^2 + (-10 + (-18) + 6)",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.73, bodu=90, $$\frac{16}{\frac{4\frac{3}{7} \cdot (13 + 12)}{11 + 10}}=\textcolor{white}{3\frac{27}{775}}$$return {
["body"] = 90,
["id"] = "8DvLal_1004_1559",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 3.0348387096774,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2352,
["jmenovatel"] = 775 },
["render"] = "\\frac{2352}{775}",
["typ"] = "cislo" },
["tex"] = "3\\frac{27}{775}",
["x"] = 3,
["y"] = 27,
["z"] = 775 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 + 12",
["typ"] = "plus" },
["render"] = "(13 + 12)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} \\cdot (13 + 12)",
["typ"] = "krat" },
["c2"] = {
["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"] = "\\frac{4\\frac{3}{7} \\cdot (13 + 12)}{11 + 10}",
["typ"] = "lomeno" },
["render"] = "\\frac{16}{\\frac{4\\frac{3}{7} \\cdot (13 + 12)}{11 + 10}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.74, bodu=184, $$\frac{\frac{2\frac{3}{9} - 3\frac{3}{12}}{12}}{(10 - 2\frac{2}{6})^2}=\textcolor{white}{-\frac{11}{8464}}$$return {
["body"] = 184,
["id"] = "auRcuA_1004_1559",
["obtiznost"] = 1.5552,
["reseni"] = {
["float"] = -0.0012996219281664,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 8464 },
["render"] = "\\frac{-99}{76176}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{8464}",
["y"] = -11,
["z"] = 8464 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - 3\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} - 3\\frac{3}{12}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 2\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{2\\frac{3}{9} - 3\\frac{3}{12}}{12}}{(10 - 2\\frac{2}{6})^2}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.75, bodu=93, $$2\frac{3}{7} - \frac{13 \cdot -14}{-13 \cdot 11}=\textcolor{white}{1\frac{12}{77}}$$return {
["body"] = 93,
["id"] = "8OcJgF_1004_1559",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 1.1558441558442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 77 },
["render"] = "\\frac{89}{77}",
["typ"] = "cislo" },
["tex"] = "1\\frac{12}{77}",
["x"] = 1,
["y"] = 12,
["z"] = 77 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "13 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{13 \\cdot -14}{-13 \\cdot 11}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{7} - \\frac{13 \\cdot -14}{-13 \\cdot 11}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.76, bodu=94, $$-14 + (5 + 4\frac{2}{7}) \cdot 15 - (-7 \cdot -10)=\textcolor{white}{55\frac{2}{7}}$$return {
["body"] = 94,
["id"] = "aKqv8o_1004_1559",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 55.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 387,
["jmenovatel"] = 7 },
["render"] = "\\frac{387}{7}",
["typ"] = "cislo" },
["tex"] = "55\\frac{2}{7}",
["x"] = 55,
["y"] = 2,
["z"] = 7 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "5 + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(5 + 4\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(5 + 4\\frac{2}{7}) \\cdot 15",
["typ"] = "krat" },
["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"] = "(5 + 4\\frac{2}{7}) \\cdot 15 - (-7 \\cdot -10)",
["typ"] = "minus" },
["render"] = "-14 + (5 + 4\\frac{2}{7}) \\cdot 15 - (-7 \\cdot -10)",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.77, bodu=154, $$\frac{10 - (2\frac{3}{7} + 4\frac{1}{5})}{-10 - 4\frac{5}{10} + (-18)}=\textcolor{white}{-\frac{236}{2275}}$$return {
["body"] = 154,
["id"] = "8fWCED_1004_1559",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -0.10373626373626,
["objekt"] = {
["hodnota"] = {
["citatel"] = -236,
["jmenovatel"] = 2275 },
["render"] = "\\frac{236}{-2275}",
["typ"] = "cislo" },
["tex"] = "-\\frac{236}{2275}",
["y"] = -236,
["z"] = 2275 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "10 - (2\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{5}{10} + (-18)",
["typ"] = "plus" },
["render"] = "\\frac{10 - (2\\frac{3}{7} + 4\\frac{1}{5})}{-10 - 4\\frac{5}{10} + (-18)}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.78, bodu=108, $$(\frac{6}{-10})^4 \cdot (-16 \cdot 16 - (-16))=\textcolor{white}{-31{,}104}$$return {
["body"] = 108,
["id"] = "6LvfTd_1004_1559",
["obtiznost"] = 1.0624,
["reseni"] = {
["float"] = -31.104,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3888,
["jmenovatel"] = 125 },
["render"] = "\\frac{-19440}{625}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{13}{125}",
["tex_float"] = "-31{,}104",
["x"] = -31,
["y"] = 13,
["z"] = 125 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.78",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{-10})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 16 - (-16)",
["typ"] = "minus" },
["render"] = "(-16 \\cdot 16 - (-16))",
["typ"] = "zavorka" },
["render"] = "(\\frac{6}{-10})^4 \\cdot (-16 \\cdot 16 - (-16))",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.79, bodu=157, $$(2\frac{4}{12} - 17) \cdot 2\frac{1}{5} \cdot 4\frac{4}{9} \cdot 13=\textcolor{white}{-1864\frac{8}{27}}$$return {
["body"] = 157,
["id"] = "wlJ6Fo_1004_1559",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -1864.2962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50336,
["jmenovatel"] = 27 },
["render"] = "\\frac{-50336}{27}",
["typ"] = "cislo" },
["tex"] = "-1864\\frac{8}{27}",
["x"] = -1864,
["y"] = 8,
["z"] = 27 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} - 17",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{12} - 17)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot 13",
["typ"] = "krat" },
["render"] = "2\\frac{1}{5} \\cdot 4\\frac{4}{9} \\cdot 13",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{12} - 17) \\cdot 2\\frac{1}{5} \\cdot 4\\frac{4}{9} \\cdot 13",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.8, bodu=163, $$\frac{(-10 - (-11))^4}{(\frac{-17}{19})^2 \cdot (\frac{2\frac{4}{5}}{3})^2}=\textcolor{white}{1\frac{24581}{56644}}$$return {
["body"] = 163,
["id"] = "gqCvIq_1004_1559",
["obtiznost"] = 1.4292,
["reseni"] = {
["float"] = 1.4339559353153,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81225,
["jmenovatel"] = 56644 },
["render"] = "\\frac{81225}{56644}",
["typ"] = "cislo" },
["tex"] = "1\\frac{24581}{56644}",
["x"] = 1,
["y"] = 24581,
["z"] = 56644 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.8",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-10 - (-11))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{19}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-17}{19})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{5}}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{4}{5}}{3})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{-17}{19})^2 \\cdot (\\frac{2\\frac{4}{5}}{3})^2",
["typ"] = "krat" },
["render"] = "\\frac{(-10 - (-11))^4}{(\\frac{-17}{19})^2 \\cdot (\\frac{2\\frac{4}{5}}{3})^2}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.81, bodu=160, $$\frac{11 \cdot 21}{1\frac{5}{9} - (4\frac{3}{7} + 1\frac{5}{7} - (-15))}=\textcolor{white}{-11\frac{979}{1234}}$$return {
["body"] = 160,
["id"] = "T2VLBC_1004_1559",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -11.793354943274,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14553,
["jmenovatel"] = 1234 },
["render"] = "\\frac{14553}{-1234}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{979}{1234}",
["x"] = -11,
["y"] = 979,
["z"] = 1234 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "11 \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} - (-15)",
["typ"] = "minus" },
["render"] = "4\\frac{3}{7} + 1\\frac{5}{7} - (-15)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 1\\frac{5}{7} - (-15))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{9} - (4\\frac{3}{7} + 1\\frac{5}{7} - (-15))",
["typ"] = "minus" },
["render"] = "\\frac{11 \\cdot 21}{1\\frac{5}{9} - (4\\frac{3}{7} + 1\\frac{5}{7} - (-15))}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.82, bodu=112, $$(-7 - 6)^2 - ((15 + (-17) + (\frac{-12}{12})^3)^2 + 2\frac{3}{5})=\textcolor{white}{157{,}4}$$return {
["body"] = 112,
["id"] = "918N4K_1004_1559",
["obtiznost"] = 1.0928,
["reseni"] = {
["float"] = 157.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 787,
["jmenovatel"] = 5 },
["render"] = "\\frac{787}{5}",
["typ"] = "cislo" },
["tex"] = "157\\frac{2}{5}",
["tex_float"] = "157{,}4",
["x"] = 157,
["y"] = 2,
["z"] = 5 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.82",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 + (-17)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-12}{12})^3",
["typ"] = "mocnina" },
["render"] = "15 + (-17) + (\\frac{-12}{12})^3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-17) + (\\frac{-12}{12})^3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(15 + (-17) + (\\frac{-12}{12})^3)^2 + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "((15 + (-17) + (\\frac{-12}{12})^3)^2 + 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "(-7 - 6)^2 - ((15 + (-17) + (\\frac{-12}{12})^3)^2 + 2\\frac{3}{5})",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.83, bodu=104, $$\frac{\frac{\frac{11}{-10}}{\frac{17}{-21}}}{21 - 4\frac{4}{14}}=\textcolor{white}{\frac{539}{6630}}$$return {
["body"] = 104,
["id"] = "pvO6wu_1004_1559",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 0.081297134238311,
["objekt"] = {
["hodnota"] = {
["citatel"] = 539,
["jmenovatel"] = 6630 },
["render"] = "\\frac{1617}{19890}",
["typ"] = "cislo" },
["tex"] = "\\frac{539}{6630}",
["y"] = 539,
["z"] = 6630 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-21}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{11}{-10}}{\\frac{17}{-21}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "21 - 4\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{\\frac{11}{-10}}{\\frac{17}{-21}}}{21 - 4\\frac{4}{14}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.84, bodu=167, $$9 \cdot (2\frac{5}{7} + 4\frac{5}{12}) + (-6 \cdot (-9 - (-12))^3) - 2\frac{5}{12}=\textcolor{white}{-100\frac{5}{21}}$$return {
["body"] = 167,
["id"] = "lQgqeD_1004_1559",
["obtiznost"] = 1.4512,
["reseni"] = {
["float"] = -100.2380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2105,
["jmenovatel"] = 21 },
["render"] = "\\frac{-33680}{336}",
["typ"] = "cislo" },
["tex"] = "-100\\frac{5}{21}",
["x"] = -100,
["y"] = 5,
["z"] = 21 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 4\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{7} + 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (2\\frac{5}{7} + 4\\frac{5}{12})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-9 - (-12))^3",
["typ"] = "mocnina" },
["render"] = "-6 \\cdot (-9 - (-12))^3",
["typ"] = "krat" },
["render"] = "9 \\cdot (2\\frac{5}{7} + 4\\frac{5}{12}) + (-6 \\cdot (-9 - (-12))^3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "9 \\cdot (2\\frac{5}{7} + 4\\frac{5}{12}) + (-6 \\cdot (-9 - (-12))^3) - 2\\frac{5}{12}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.85, bodu=135, $$\frac{3\frac{2}{8} \cdot 11}{8 \cdot -11 \cdot 2\frac{3}{4}}=\textcolor{white}{-\frac{13}{88}}$$return {
["body"] = 135,
["id"] = "jX04YN_1004_1559",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -0.14772727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 88 },
["render"] = "\\frac{143}{-968}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{88}",
["y"] = -13,
["z"] = 88 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{3}{4}",
["typ"] = "krat" },
["render"] = "8 \\cdot -11 \\cdot 2\\frac{3}{4}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{8} \\cdot 11}{8 \\cdot -11 \\cdot 2\\frac{3}{4}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.86, bodu=243, $$1\frac{4}{8} - 1\frac{2}{9} + 3\frac{1}{9} - (-12 - 12)^2 - 1\frac{5}{8} - 12=\textcolor{white}{-586\frac{17}{72}}$$return {
["body"] = 243,
["id"] = "dUW8A9_1004_1559",
["obtiznost"] = 1.8908,
["reseni"] = {
["float"] = -586.23611111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42209,
["jmenovatel"] = 72 },
["render"] = "\\frac{-42209}{72}",
["typ"] = "cislo" },
["tex"] = "-586\\frac{17}{72}",
["x"] = -586,
["y"] = 17,
["z"] = 72 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 1\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - 12)^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{9} - (-12 - 12)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} - (-12 - 12)^2 - 1\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "1\\frac{4}{8} - 1\\frac{2}{9} + 3\\frac{1}{9} - (-12 - 12)^2 - 1\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 1\\frac{2}{9} + 3\\frac{1}{9} - (-12 - 12)^2 - 1\\frac{5}{8} - 12",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.87, bodu=203, $$-12 - \frac{\frac{6}{1\frac{5}{12}}}{(-12 + 4\frac{4}{6})^2 + 23 - 1\frac{4}{10}}=\textcolor{white}{-12\frac{405}{7208}}$$return {
["body"] = 203,
["id"] = "BJmH7H_1004_1559",
["obtiznost"] = 1.6672,
["reseni"] = {
["float"] = -12.056187569367,
["objekt"] = {
["hodnota"] = {
["citatel"] = -86901,
["jmenovatel"] = 7208 },
["render"] = "\\frac{-86901}{7208}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{405}{7208}",
["x"] = -12,
["y"] = 405,
["z"] = 7208 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{4}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 4\\frac{4}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "23 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(-12 + 4\\frac{4}{6})^2 + 23 - 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{6}{1\\frac{5}{12}}}{(-12 + 4\\frac{4}{6})^2 + 23 - 1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "-12 - \\frac{\\frac{6}{1\\frac{5}{12}}}{(-12 + 4\\frac{4}{6})^2 + 23 - 1\\frac{4}{10}}",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.88, bodu=172, $$\frac{15 - 3\frac{1}{6}}{\frac{1\frac{2}{9}}{4\frac{5}{13}} - (-18)} + (-15)=\textcolor{white}{-14\frac{6613}{18754}}$$return {
["body"] = 172,
["id"] = "T6nmKr_1004_1559",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -14.352618108137,
["objekt"] = {
["hodnota"] = {
["citatel"] = -269169,
["jmenovatel"] = 18754 },
["render"] = "\\frac{-269169}{18754}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{6613}{18754}",
["x"] = -14,
["y"] = 6613,
["z"] = 18754 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{4\\frac{5}{13}} - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{15 - 3\\frac{1}{6}}{\\frac{1\\frac{2}{9}}{4\\frac{5}{13}} - (-18)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{15 - 3\\frac{1}{6}}{\\frac{1\\frac{2}{9}}{4\\frac{5}{13}} - (-18)} + (-15)",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.89, bodu=141, $$\frac{22}{1\frac{3}{6} \cdot 13} \cdot (\frac{9}{-16} - 3\frac{4}{11})=\textcolor{white}{-4\frac{67}{156}}$$return {
["body"] = 141,
["id"] = "TlBcix_1004_1559",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -4.4294871794872,
["objekt"] = {
["hodnota"] = {
["citatel"] = -691,
["jmenovatel"] = 156 },
["render"] = "\\frac{-30404}{6864}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{67}{156}",
["x"] = -4,
["y"] = 67,
["z"] = 156 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{22}{1\\frac{3}{6} \\cdot 13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-16} - 3\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(\\frac{9}{-16} - 3\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{22}{1\\frac{3}{6} \\cdot 13} \\cdot (\\frac{9}{-16} - 3\\frac{4}{11})",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.9, bodu=113, $$-13 + (-21 \cdot 13 \cdot 4\frac{2}{7} \cdot -16 - 19)=\textcolor{white}{18688}$$return {
["body"] = 113,
["id"] = "oJJzNL_1004_1559",
["obtiznost"] = 1.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18688,
["jmenovatel"] = 1 },
["render"] = "\\frac{18688}{1}",
["typ"] = "cislo" },
["tex"] = "18688",
["tex_float"] = "18688",
["x"] = 18688 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 13 \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 13 \\cdot 4\\frac{2}{7} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 13 \\cdot 4\\frac{2}{7} \\cdot -16 - 19",
["typ"] = "minus" },
["render"] = "-13 + (-21 \\cdot 13 \\cdot 4\\frac{2}{7} \\cdot -16 - 19)",
["typ"] = "plus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.91, bodu=115, $$17 \cdot \frac{-14 \cdot 19}{\frac{6}{3\frac{5}{7}}}=\textcolor{white}{-2799\frac{1}{3}}$$return {
["body"] = 115,
["id"] = "Oivcfp_1004_1559",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -2799.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8398,
["jmenovatel"] = 3 },
["render"] = "\\frac{-8398}{3}",
["typ"] = "cislo" },
["tex"] = "-2799\\frac{1}{3}",
["x"] = -2799,
["y"] = 1,
["z"] = 3 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14 \\cdot 19}{\\frac{6}{3\\frac{5}{7}}}",
["typ"] = "lomeno" },
["render"] = "17 \\cdot \\frac{-14 \\cdot 19}{\\frac{6}{3\\frac{5}{7}}}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.92, bodu=147, $$\frac{(16 + (-14))^3}{2\frac{2}{4}} \cdot \frac{-12}{1\frac{2}{7} + 15}=\textcolor{white}{-2\frac{34}{95}}$$return {
["body"] = 147,
["id"] = "fvyVTZ_1004_1559",
["obtiznost"] = 1.3236,
["reseni"] = {
["float"] = -2.3578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = -224,
["jmenovatel"] = 95 },
["render"] = "\\frac{-224}{95}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{34}{95}",
["x"] = -2,
["y"] = 34,
["z"] = 95 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "16 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(16 + (-14))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(16 + (-14))^3}{2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 15",
["typ"] = "plus" },
["render"] = "\\frac{-12}{1\\frac{2}{7} + 15}",
["typ"] = "lomeno" },
["render"] = "\\frac{(16 + (-14))^3}{2\\frac{2}{4}} \\cdot \\frac{-12}{1\\frac{2}{7} + 15}",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.93, bodu=289, $$2\frac{4}{13} - (-11) - 1\frac{4}{10} - (3\frac{3}{10} - 4\frac{4}{10}) - (1\frac{5}{7} + 1\frac{3}{11})=\textcolor{white}{10\frac{207}{10010}}$$return {
["body"] = 289,
["id"] = "XEEYjA_1004_1559",
["obtiznost"] = 2.13,
["reseni"] = {
["float"] = 10.020679320679,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100307,
["jmenovatel"] = 10010 },
["render"] = "\\frac{100307}{10010}",
["typ"] = "cislo" },
["tex"] = "10\\frac{207}{10010}",
["x"] = 10,
["y"] = 207,
["z"] = 10010 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{13} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{13} - (-11) - 1\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} - 4\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{10} - 4\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{13} - (-11) - 1\\frac{4}{10} - (3\\frac{3}{10} - 4\\frac{4}{10})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} + 1\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{7} + 1\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{13} - (-11) - 1\\frac{4}{10} - (3\\frac{3}{10} - 4\\frac{4}{10}) - (1\\frac{5}{7} + 1\\frac{3}{11})",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.94, bodu=181, $$\frac{-6 + 2\frac{3}{5} \cdot \frac{2\frac{5}{9}}{-20}}{13 - 1\frac{4}{6}}=\textcolor{white}{-\frac{5699}{10200}}$$return {
["body"] = 181,
["id"] = "82M3JO_1004_1559",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -0.55872549019608,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5699,
["jmenovatel"] = 10200 },
["render"] = "\\frac{-17097}{30600}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5699}{10200}",
["y"] = -5699,
["z"] = 10200 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-20}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{5} \\cdot \\frac{2\\frac{5}{9}}{-20}",
["typ"] = "krat" },
["render"] = "-6 + 2\\frac{3}{5} \\cdot \\frac{2\\frac{5}{9}}{-20}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{-6 + 2\\frac{3}{5} \\cdot \\frac{2\\frac{5}{9}}{-20}}{13 - 1\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.95, bodu=151, $$16 + 1\frac{5}{9} + (-18 - 13) - (-20 - 1\frac{4}{11} - (-12))=\textcolor{white}{-4\frac{8}{99}}$$return {
["body"] = 151,
["id"] = "H6zRsq_1004_1559",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -4.0808080808081,
["objekt"] = {
["hodnota"] = {
["citatel"] = -404,
["jmenovatel"] = 99 },
["render"] = "\\frac{-404}{99}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{8}{99}",
["x"] = -4,
["y"] = 8,
["z"] = 99 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-18 - 13",
["typ"] = "minus" },
["render"] = "1\\frac{5}{9} + (-18 - 13)",
["typ"] = "plus" },
["render"] = "16 + 1\\frac{5}{9} + (-18 - 13)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-20 - 1\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-20 - 1\\frac{4}{11} - (-12)",
["typ"] = "minus" },
["render"] = "(-20 - 1\\frac{4}{11} - (-12))",
["typ"] = "zavorka" },
["render"] = "16 + 1\\frac{5}{9} + (-18 - 13) - (-20 - 1\\frac{4}{11} - (-12))",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.96, bodu=122, $$4\frac{3}{9} \cdot 14 \cdot -7 \cdot -10 \cdot -15=\textcolor{white}{-63700}$$return {
["body"] = 122,
["id"] = "xuRhB3_1004_1559",
["obtiznost"] = 1.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -63700,
["jmenovatel"] = 1 },
["render"] = "\\frac{-191100}{3}",
["typ"] = "cislo" },
["tex"] = "-63700",
["x"] = -63700 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10 \\cdot -15",
["typ"] = "krat" },
["render"] = "4\\frac{3}{9} \\cdot 14 \\cdot -7 \\cdot -10 \\cdot -15",
["typ"] = "krat" } }
seed: ZupKp2vwEjReDoXkZEDE_0.97, bodu=123, $$\frac{\frac{-6}{\frac{-8}{15}}}{\frac{1\frac{3}{9}}{8} + 9}=\textcolor{white}{1\frac{5}{22}}$$return {
["body"] = 123,
["id"] = "Sl0Dfq_1004_1559",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 1.2272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 22 },
["render"] = "\\frac{270}{220}",
["typ"] = "cislo" },
["tex"] = "1\\frac{5}{22}",
["x"] = 1,
["y"] = 5,
["z"] = 22 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["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{-6}{\\frac{-8}{15}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{8} + 9",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-6}{\\frac{-8}{15}}}{\\frac{1\\frac{3}{9}}{8} + 9}",
["typ"] = "lomeno" } }
seed: ZupKp2vwEjReDoXkZEDE_0.98, bodu=188, $$6 - \frac{4\frac{2}{10}}{-23 + 1\frac{4}{8}} \cdot (-12 - 1\frac{5}{10})=\textcolor{white}{3\frac{78}{215}}$$return {
["body"] = 188,
["id"] = "GdwYZZ_1004_1559",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 3.3627906976744,
["objekt"] = {
["hodnota"] = {
["citatel"] = 723,
["jmenovatel"] = 215 },
["render"] = "\\frac{723}{215}",
["typ"] = "cislo" },
["tex"] = "3\\frac{78}{215}",
["x"] = 3,
["y"] = 78,
["z"] = 215 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-23 + 1\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{10}}{-23 + 1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-12 - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{2}{10}}{-23 + 1\\frac{4}{8}} \\cdot (-12 - 1\\frac{5}{10})",
["typ"] = "krat" },
["render"] = "6 - \\frac{4\\frac{2}{10}}{-23 + 1\\frac{4}{8}} \\cdot (-12 - 1\\frac{5}{10})",
["typ"] = "minus" } }
seed: ZupKp2vwEjReDoXkZEDE_0.99, bodu=190, $$(-16 + (-4)) \cdot 2\frac{2}{9} + 12 - 1\frac{1}{9} - (-4 + 1\frac{1}{7})=\textcolor{white}{-30\frac{44}{63}}$$return {
["body"] = 190,
["id"] = "sx138T_1004_1559",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -30.698412698413,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1934,
["jmenovatel"] = 63 },
["render"] = "\\frac{-1934}{63}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{44}{63}",
["x"] = -30,
["y"] = 44,
["z"] = 63 },
["seed"] = "ZupKp2vwEjReDoXkZEDE_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-16 + (-4)",
["typ"] = "plus" },
["render"] = "(-16 + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-16 + (-4)) \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["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"] = "12 - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(-16 + (-4)) \\cdot 2\\frac{2}{9} + 12 - 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-4 + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(-16 + (-4)) \\cdot 2\\frac{2}{9} + 12 - 1\\frac{1}{9} - (-4 + 1\\frac{1}{7})",
["typ"] = "minus" } }
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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ecstatic.gif: 
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happy_animation_by_strawberrycrescent-d9qi27u.gif: 
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hsk.gif: 
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imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
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nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
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tettt.gif: 
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well-done-jennifer-anniston-clap-applause-2.gif: 