- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: USfpqYDdNDA0N3cNeZX6_0, bodu=10, $$(-8 + (-3))^2 - \frac{-2}{6}=\textcolor{white}{121\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "4OVAU6_0727_1153",
["obtiznost"] = 0.0488,
["reseni"] = {
["float"] = 121.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 364,
["jmenovatel"] = 3 },
["render"] = "\\frac{364}{3}",
["typ"] = "cislo" },
["tex"] = "121\\frac{1}{3}",
["x"] = 121,
["y"] = 1,
["z"] = 3 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-8 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + (-3))^2",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "(-8 + (-3))^2 - \\frac{-2}{6}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.01, bodu=5, $$(-5 - 6 \cdot 3) \cdot 7=\textcolor{white}{-161}$$return {
["body"] = 5,
["id"] = "PfLNv1_0727_1153",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -161,
["jmenovatel"] = 1 },
["render"] = "\\frac{-161}{1}",
["typ"] = "cislo" },
["tex"] = "-161",
["x"] = -161 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.01",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3",
["typ"] = "krat" },
["render"] = "-5 - 6 \\cdot 3",
["typ"] = "minus" },
["render"] = "(-5 - 6 \\cdot 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-5 - 6 \\cdot 3) \\cdot 7",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.02, bodu=10, $$\frac{\frac{6}{6}}{-6}=\textcolor{white}{-\frac{1}{6}}$$return {
["body"] = 10,
["id"] = "63GEea_0727_1153",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = -0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 6 },
["render"] = "\\frac{1}{-6}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{6}",
["y"] = -1,
["z"] = 6 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{6}}{-6}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.03, bodu=5, $$4 - 4 \cdot -8 + 8=\textcolor{white}{44}$$return {
["body"] = 5,
["id"] = "xPR3M3_0727_1153",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 1 },
["render"] = "\\frac{44}{1}",
["typ"] = "cislo" },
["tex"] = "44",
["tex_float"] = "44",
["x"] = 44 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 \\cdot -8",
["typ"] = "krat" },
["render"] = "4 - 4 \\cdot -8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 - 4 \\cdot -8 + 8",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.04, bodu=10, $$6 \cdot \frac{-7}{4}=\textcolor{white}{-10{,}5}$$return {
["body"] = 10,
["id"] = "PWFEMC_0727_1153",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -10.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 2 },
["render"] = "\\frac{-42}{4}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1}{2}",
["tex_float"] = "-10{,}5",
["x"] = -10,
["y"] = 1,
["z"] = 2 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{-7}{4}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.05, bodu=5, $$6 - (-4 \cdot 4) + 6=\textcolor{white}{28}$$return {
["body"] = 5,
["id"] = "iRcWE7_0727_1153",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1 },
["render"] = "\\frac{28}{1}",
["typ"] = "cislo" },
["tex"] = "28",
["x"] = 28 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 4",
["typ"] = "krat" },
["render"] = "6 - (-4 \\cdot 4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - (-4 \\cdot 4) + 6",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.06, bodu=11, $$\frac{7}{5} \cdot (5 - 5)^3=\textcolor{white}{0}$$return {
["body"] = 11,
["id"] = "tMcacz_0727_1153",
["obtiznost"] = 0.0604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{5}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - 5)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{5} \\cdot (5 - 5)^3",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.07, bodu=5, $$(-5 \cdot 10 - 8) \cdot 4=\textcolor{white}{-232}$$return {
["body"] = 5,
["id"] = "WdOezn_0727_1153",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -232,
["jmenovatel"] = 1 },
["render"] = "\\frac{-232}{1}",
["typ"] = "cislo" },
["tex"] = "-232",
["x"] = -232 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 10 - 8",
["typ"] = "minus" },
["render"] = "(-5 \\cdot 10 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(-5 \\cdot 10 - 8) \\cdot 4",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.08, bodu=12, $$-7 + \frac{-9}{10} - 9=\textcolor{white}{-16{,}9}$$return {
["body"] = 12,
["id"] = "31tFID_0727_1153",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -16.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -169,
["jmenovatel"] = 10 },
["render"] = "\\frac{-169}{10}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{9}{10}",
["tex_float"] = "-16{,}9",
["x"] = -16,
["y"] = 9,
["z"] = 10 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{10} - 9",
["typ"] = "minus" },
["render"] = "-7 + \\frac{-9}{10} - 9",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.09, bodu=6, $$7 \cdot -7 + 4 + 7=\textcolor{white}{-38}$$return {
["body"] = 6,
["id"] = "zyh489_0727_1153",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 1 },
["render"] = "\\frac{-38}{1}",
["typ"] = "cislo" },
["tex"] = "-38",
["tex_float"] = "-38",
["x"] = -38 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "7 \\cdot -7",
["typ"] = "krat" },
["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"] = "7 \\cdot -7 + 4 + 7",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.1, bodu=6, $$3 \cdot 8 \cdot (6 + 9)=\textcolor{white}{360}$$return {
["body"] = 6,
["id"] = "FvOY6m_0727_1153",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 360,
["jmenovatel"] = 1 },
["render"] = "\\frac{360}{1}",
["typ"] = "cislo" },
["tex"] = "360",
["tex_float"] = "360",
["x"] = 360 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["render"] = "(6 + 9)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot 8 \\cdot (6 + 9)",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.11, bodu=25, $$\frac{8 + 3\frac{3}{6}}{(3 - 5)^3}=\textcolor{white}{-1\frac{7}{16}}$$return {
["body"] = 25,
["id"] = "R5sebW_0727_1153",
["obtiznost"] = 0.3136,
["reseni"] = {
["float"] = -1.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 16 },
["render"] = "\\frac{23}{-16}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{16}",
["x"] = -1,
["y"] = 7,
["z"] = 16 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 5)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{8 + 3\\frac{3}{6}}{(3 - 5)^3}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.12, bodu=16, $$(\frac{-5}{7 - 5})^3 + 6=\textcolor{white}{-9{,}625}$$return {
["body"] = 16,
["id"] = "6KilVK_0727_1153",
["obtiznost"] = 0.1732,
["reseni"] = {
["float"] = -9.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 8 },
["render"] = "\\frac{-77}{8}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{5}{8}",
["tex_float"] = "-9{,}625",
["x"] = -9,
["y"] = 5,
["z"] = 8 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "\\frac{-5}{7 - 5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-5}{7 - 5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{-5}{7 - 5})^3 + 6",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.13, bodu=7, $$9 + (8 + 4) \cdot 11=\textcolor{white}{141}$$return {
["body"] = 7,
["id"] = "dr4NbG_0727_1153",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 141,
["jmenovatel"] = 1 },
["render"] = "\\frac{141}{1}",
["typ"] = "cislo" },
["tex"] = "141",
["x"] = 141 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["render"] = "(8 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(8 + 4) \\cdot 11",
["typ"] = "krat" },
["render"] = "9 + (8 + 4) \\cdot 11",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.14, bodu=27, $$12 - 8 - \frac{2\frac{4}{6}}{-7}=\textcolor{white}{4\frac{8}{21}}$$return {
["body"] = 27,
["id"] = "rmVEyH_0727_1153",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 4.3809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 21 },
["render"] = "\\frac{92}{21}",
["typ"] = "cislo" },
["tex"] = "4\\frac{8}{21}",
["x"] = 4,
["y"] = 8,
["z"] = 21 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["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" },
["render"] = "12 - 8 - \\frac{2\\frac{4}{6}}{-7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.15, bodu=7, $$8 \cdot 9 - (2 - 10)=\textcolor{white}{80}$$return {
["body"] = 7,
["id"] = "yC5Ldj_0727_1153",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{1}",
["typ"] = "cislo" },
["tex"] = "80",
["x"] = 80 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2 - 10",
["typ"] = "minus" },
["render"] = "(2 - 10)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 9 - (2 - 10)",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.16, bodu=15, $$\frac{6 - (-8)}{6} - 4=\textcolor{white}{-1\frac{2}{3}}$$return {
["body"] = 15,
["id"] = "cBmo7P_0727_1153",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -1.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 3 },
["render"] = "\\frac{-5}{3}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{3}",
["x"] = -1,
["y"] = 2,
["z"] = 3 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.16",
["zadani"] = {
["c1"] = {
["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"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6 - (-8)}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{6 - (-8)}{6} - 4",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.17, bodu=8, $$6 + 7 - (-13) - 5=\textcolor{white}{21}$$return {
["body"] = 8,
["id"] = "vMJydi_0727_1153",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "\\frac{21}{1}",
["typ"] = "cislo" },
["tex"] = "21",
["x"] = 21 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "6 + 7 - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 7 - (-13) - 5",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.18, bodu=38, $$4\frac{5}{7} \cdot (\frac{-7}{-7 - 6})^2=\textcolor{white}{1\frac{62}{169}}$$return {
["body"] = 38,
["id"] = "k63WnT_0727_1153",
["obtiznost"] = 0.4672,
["reseni"] = {
["float"] = 1.3668639053254,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 169 },
["render"] = "\\frac{1617}{1183}",
["typ"] = "cislo" },
["tex"] = "1\\frac{62}{169}",
["x"] = 1,
["y"] = 62,
["z"] = 169 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 - 6",
["typ"] = "minus" },
["render"] = "\\frac{-7}{-7 - 6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{-7 - 6})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{5}{7} \\cdot (\\frac{-7}{-7 - 6})^2",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.19, bodu=31, $$2\frac{4}{7} - (9 + 6 \cdot -10)=\textcolor{white}{53\frac{4}{7}}$$return {
["body"] = 31,
["id"] = "N6Elsy_0727_1153",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 53.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 375,
["jmenovatel"] = 7 },
["render"] = "\\frac{375}{7}",
["typ"] = "cislo" },
["tex"] = "53\\frac{4}{7}",
["x"] = 53,
["y"] = 4,
["z"] = 7 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10",
["typ"] = "krat" },
["render"] = "9 + 6 \\cdot -10",
["typ"] = "plus" },
["render"] = "(9 + 6 \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} - (9 + 6 \\cdot -10)",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.2, bodu=18, $$4 - \frac{12}{-9 \cdot 7}=\textcolor{white}{4\frac{4}{21}}$$return {
["body"] = 18,
["id"] = "xORkbu_0727_1153",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 4.1904761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 21 },
["render"] = "\\frac{88}{21}",
["typ"] = "cislo" },
["tex"] = "4\\frac{4}{21}",
["x"] = 4,
["y"] = 4,
["z"] = 21 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{12}{-9 \\cdot 7}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{12}{-9 \\cdot 7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.21, bodu=21, $$\frac{(12 - 7)^3 + \frac{10}{7}}{8}=\textcolor{white}{15\frac{45}{56}}$$return {
["body"] = 21,
["id"] = "u9vW0F_0727_1153",
["obtiznost"] = 0.2604,
["reseni"] = {
["float"] = 15.803571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 885,
["jmenovatel"] = 56 },
["render"] = "\\frac{885}{56}",
["typ"] = "cislo" },
["tex"] = "15\\frac{45}{56}",
["x"] = 15,
["y"] = 45,
["z"] = 56 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(12 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "(12 - 7)^3 + \\frac{10}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 7)^3 + \\frac{10}{7}}{8}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.22, bodu=34, $$\frac{5 \cdot 4}{7} \cdot 2\frac{1}{3}=\textcolor{white}{6\frac{2}{3}}$$return {
["body"] = 34,
["id"] = "y5sO0l_0727_1153",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 6.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 3 },
["render"] = "\\frac{140}{21}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{3}",
["x"] = 6,
["y"] = 2,
["z"] = 3 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 4}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 4}{7} \\cdot 2\\frac{1}{3}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.23, bodu=9, $$-8 \cdot (2 - 6) - (11 + (-8))=\textcolor{white}{29}$$return {
["body"] = 9,
["id"] = "5EQGGI_0727_1153",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 1 },
["render"] = "\\frac{29}{1}",
["typ"] = "cislo" },
["tex"] = "29",
["x"] = 29 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 - 6",
["typ"] = "minus" },
["render"] = "(2 - 6)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (2 - 6)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 + (-8)",
["typ"] = "plus" },
["render"] = "(11 + (-8))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (2 - 6) - (11 + (-8))",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.24, bodu=36, $$\frac{2\frac{2}{8}}{8} + \frac{13}{4}=\textcolor{white}{3\frac{17}{32}}$$return {
["body"] = 36,
["id"] = "xOGnmg_0727_1153",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 3.53125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 32 },
["render"] = "\\frac{452}{128}",
["typ"] = "cislo" },
["tex"] = "3\\frac{17}{32}",
["x"] = 3,
["y"] = 17,
["z"] = 32 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{8}}{8} + \\frac{13}{4}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.25, bodu=37, $$\frac{-10}{8} - (4 + 4\frac{2}{5} + (-6))=\textcolor{white}{-3{,}65}$$return {
["body"] = 37,
["id"] = "TltiFQ_0727_1153",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -3.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -73,
["jmenovatel"] = 20 },
["render"] = "\\frac{-73}{20}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{13}{20}",
["tex_float"] = "-3{,}65",
["x"] = -3,
["y"] = 13,
["z"] = 20 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4 + 4\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4 + 4\\frac{2}{5} + (-6)",
["typ"] = "plus" },
["render"] = "(4 + 4\\frac{2}{5} + (-6))",
["typ"] = "zavorka" },
["render"] = "\\frac{-10}{8} - (4 + 4\\frac{2}{5} + (-6))",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.26, bodu=21, $$\frac{6}{\frac{-13}{-7}} + (-9)=\textcolor{white}{-5\frac{10}{13}}$$return {
["body"] = 21,
["id"] = "bfakDd_0727_1153",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -5.7692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 13 },
["render"] = "\\frac{-75}{13}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{10}{13}",
["x"] = -5,
["y"] = 10,
["z"] = 13 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{-13}{-7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{\\frac{-13}{-7}} + (-9)",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.27, bodu=22, $$(\frac{8}{-8})^3 - (-11 - (10 + (-9))^2)=\textcolor{white}{11}$$return {
["body"] = 22,
["id"] = "rdxpYM_0727_1153",
["obtiznost"] = 0.2716,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{11}{1}",
["typ"] = "cislo" },
["tex"] = "11",
["tex_float"] = "11",
["x"] = 11 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.27",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{-8})^3",
["typ"] = "mocnina" },
["c2"] = {
["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"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "-11 - (10 + (-9))^2",
["typ"] = "minus" },
["render"] = "(-11 - (10 + (-9))^2)",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{-8})^3 - (-11 - (10 + (-9))^2)",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.28, bodu=48, $$(-4 - \frac{14 - (-6)}{4})^3=\textcolor{white}{-729}$$return {
["body"] = 48,
["id"] = "OqnxXQ_0727_1153",
["obtiznost"] = 0.572,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -729,
["jmenovatel"] = 1 },
["render"] = "\\frac{-729}{1}",
["typ"] = "cislo" },
["tex"] = "-729",
["tex_float"] = "-729",
["x"] = -729 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.28",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "14 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14 - (-6)}{4}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{14 - (-6)}{4}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-4 - \\frac{14 - (-6)}{4})^3",
["typ"] = "mocnina" } }
seed: USfpqYDdNDA0N3cNeZX6_0.29, bodu=44, $$1\frac{1}{5} - (13 - (5 - 8 + 6))^2=\textcolor{white}{-98{,}8}$$return {
["body"] = 44,
["id"] = "WWO0RQ_0727_1153",
["obtiznost"] = 0.5304,
["reseni"] = {
["float"] = -98.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -494,
["jmenovatel"] = 5 },
["render"] = "\\frac{-494}{5}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{4}{5}",
["tex_float"] = "-98{,}8",
["x"] = -98,
["y"] = 4,
["z"] = 5 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 8 + 6",
["typ"] = "plus" },
["render"] = "(5 - 8 + 6)",
["typ"] = "zavorka" },
["render"] = "13 - (5 - 8 + 6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - (5 - 8 + 6))^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{5} - (13 - (5 - 8 + 6))^2",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.3, bodu=24, $$\frac{-11}{(8 + 9) \cdot (-12 - (-9))}=\textcolor{white}{\frac{11}{51}}$$return {
["body"] = 24,
["id"] = "I4nO5o_0727_1153",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 0.2156862745098,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 51 },
["render"] = "\\frac{-11}{-51}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{51}",
["y"] = 11,
["z"] = 51 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["render"] = "(8 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["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"] = "minus" },
["render"] = "(-12 - (-9))",
["typ"] = "zavorka" },
["render"] = "(8 + 9) \\cdot (-12 - (-9))",
["typ"] = "krat" },
["render"] = "\\frac{-11}{(8 + 9) \\cdot (-12 - (-9))}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.31, bodu=25, $$\frac{7 \cdot 7 \cdot 10}{4}=\textcolor{white}{122{,}5}$$return {
["body"] = 25,
["id"] = "qXzZNv_0727_1153",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 122.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 2 },
["render"] = "\\frac{490}{4}",
["typ"] = "cislo" },
["tex"] = "122\\frac{1}{2}",
["tex_float"] = "122{,}5",
["x"] = 122,
["y"] = 1,
["z"] = 2 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10",
["typ"] = "krat" },
["render"] = "7 \\cdot 7 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 7 \\cdot 10}{4}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.32, bodu=13, $$8 \cdot (-6 - 13 \cdot -7)=\textcolor{white}{680}$$return {
["body"] = 13,
["id"] = "67TuBm_0727_1153",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 680,
["jmenovatel"] = 1 },
["render"] = "\\frac{680}{1}",
["typ"] = "cislo" },
["tex"] = "680",
["tex_float"] = "680",
["x"] = 680 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 \\cdot -7",
["typ"] = "krat" },
["render"] = "-6 - 13 \\cdot -7",
["typ"] = "minus" },
["render"] = "(-6 - 13 \\cdot -7)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-6 - 13 \\cdot -7)",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.33, bodu=19, $$(9 - (7 + 11)^2) \cdot (2 - 13)=\textcolor{white}{3465}$$return {
["body"] = 19,
["id"] = "RdAYTq_0727_1153",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3465,
["jmenovatel"] = 1 },
["render"] = "\\frac{3465}{1}",
["typ"] = "cislo" },
["tex"] = "3465",
["x"] = 3465 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["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"] = "9 - (7 + 11)^2",
["typ"] = "minus" },
["render"] = "(9 - (7 + 11)^2)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2 - 13",
["typ"] = "minus" },
["render"] = "(2 - 13)",
["typ"] = "zavorka" },
["render"] = "(9 - (7 + 11)^2) \\cdot (2 - 13)",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.34, bodu=27, $$14 \cdot \frac{-8}{7} + 13=\textcolor{white}{-3}$$return {
["body"] = 27,
["id"] = "n5qXet_0727_1153",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["tex_float"] = "-3",
["x"] = -3 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{7}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{-8}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 \\cdot \\frac{-8}{7} + 13",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.35, bodu=68, $$\frac{4\frac{2}{5}}{3} + \frac{-13}{3\frac{3}{5}}=\textcolor{white}{-2\frac{13}{90}}$$return {
["body"] = 68,
["id"] = "RN6jL4_0727_1153",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -2.1444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -193,
["jmenovatel"] = 90 },
["render"] = "\\frac{-579}{270}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{13}{90}",
["x"] = -2,
["y"] = 13,
["z"] = 90 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{5}}{3} + \\frac{-13}{3\\frac{3}{5}}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.36, bodu=47, $$\frac{-7 \cdot -7}{3\frac{1}{5} - 2}=\textcolor{white}{40\frac{5}{6}}$$return {
["body"] = 47,
["id"] = "Axesw8_0727_1153",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 40.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 6 },
["render"] = "\\frac{245}{6}",
["typ"] = "cislo" },
["tex"] = "40\\frac{5}{6}",
["x"] = 40,
["y"] = 5,
["z"] = 6 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 2",
["typ"] = "minus" },
["render"] = "\\frac{-7 \\cdot -7}{3\\frac{1}{5} - 2}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.37, bodu=70, $$9 - \frac{8 \cdot 1\frac{4}{7}}{1\frac{1}{8}}=\textcolor{white}{-2\frac{11}{63}}$$return {
["body"] = 70,
["id"] = "iYoe6A_0727_1153",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -2.1746031746032,
["objekt"] = {
["hodnota"] = {
["citatel"] = -137,
["jmenovatel"] = 63 },
["render"] = "\\frac{-137}{63}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{11}{63}",
["x"] = -2,
["y"] = 11,
["z"] = 63 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 1\\frac{4}{7}}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{8 \\cdot 1\\frac{4}{7}}{1\\frac{1}{8}}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.38, bodu=49, $$7 + \frac{\frac{7}{11}}{3\frac{4}{9}}=\textcolor{white}{7\frac{63}{341}}$$return {
["body"] = 49,
["id"] = "2Z06bi_0727_1153",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 7.1847507331378,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2450,
["jmenovatel"] = 341 },
["render"] = "\\frac{2450}{341}",
["typ"] = "cislo" },
["tex"] = "7\\frac{63}{341}",
["x"] = 7,
["y"] = 63,
["z"] = 341 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.38",
["zadani"] = {
["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"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{11}}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{\\frac{7}{11}}{3\\frac{4}{9}}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.39, bodu=15, $$4 \cdot 12 \cdot -11 \cdot -7=\textcolor{white}{3696}$$return {
["body"] = 15,
["id"] = "5vxxfS_0727_1153",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3696,
["jmenovatel"] = 1 },
["render"] = "\\frac{3696}{1}",
["typ"] = "cislo" },
["tex"] = "3696",
["tex_float"] = "3696",
["x"] = 3696 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 \\cdot 12 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4 \\cdot 12 \\cdot -11 \\cdot -7",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.4, bodu=32, $$\frac{11}{\frac{7}{14} - 6} \cdot 10=\textcolor{white}{-20}$$return {
["body"] = 32,
["id"] = "3tFWFQ_0727_1153",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{1}",
["typ"] = "cislo" },
["tex"] = "-20",
["tex_float"] = "-20",
["x"] = -20 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{7}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{14} - 6",
["typ"] = "minus" },
["render"] = "\\frac{11}{\\frac{7}{14} - 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{\\frac{7}{14} - 6} \\cdot 10",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.41, bodu=114, $$(2\frac{2}{9} + (-4)) \cdot (11 + (-9 \cdot 1\frac{3}{6})^2)=\textcolor{white}{-343\frac{5}{9}}$$return {
["body"] = 114,
["id"] = "ddHJON_0727_1153",
["obtiznost"] = 1.1032,
["reseni"] = {
["float"] = -343.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3092,
["jmenovatel"] = 9 },
["render"] = "\\frac{-12368}{36}",
["typ"] = "cislo" },
["tex"] = "-343\\frac{5}{9}",
["x"] = -343,
["y"] = 5,
["z"] = 9 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + (-4)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{9} + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-9 \\cdot 1\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "11 + (-9 \\cdot 1\\frac{3}{6})^2",
["typ"] = "plus" },
["render"] = "(11 + (-9 \\cdot 1\\frac{3}{6})^2)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{9} + (-4)) \\cdot (11 + (-9 \\cdot 1\\frac{3}{6})^2)",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.42, bodu=78, $$(-3 + 6)^3 \cdot 14 + 2\frac{3}{6} + 3\frac{5}{10} - (-9)=\textcolor{white}{393}$$return {
["body"] = 78,
["id"] = "R1mkSZ_0727_1153",
["obtiznost"] = 0.8312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 393,
["jmenovatel"] = 1 },
["render"] = "\\frac{786}{2}",
["typ"] = "cislo" },
["tex"] = "393",
["tex_float"] = "393",
["x"] = 393 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-3 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-3 + 6)^3 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(-3 + 6)^3 \\cdot 14 + 2\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-9)",
["typ"] = "minus" },
["render"] = "(-3 + 6)^3 \\cdot 14 + 2\\frac{3}{6} + 3\\frac{5}{10} - (-9)",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.43, bodu=56, $$\frac{(\frac{9 + (-7)}{(10 - 8)^4})^3}{-5}=\textcolor{white}{-\frac{1}{2560}}$$return {
["body"] = 56,
["id"] = "y3ZryS_0727_1153",
["obtiznost"] = 0.642,
["reseni"] = {
["float"] = -0.000390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 2560 },
["render"] = "\\frac{1}{-2560}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{2560}",
["y"] = -1,
["z"] = 2560 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.43",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 + (-7)",
["typ"] = "plus" },
["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"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 8)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{9 + (-7)}{(10 - 8)^4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9 + (-7)}{(10 - 8)^4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{9 + (-7)}{(10 - 8)^4})^3}{-5}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.44, bodu=44, $$\frac{13}{(8 + 14 + (-7))^2} \cdot 5=\textcolor{white}{\frac{13}{45}}$$return {
["body"] = 44,
["id"] = "e8IHja_0727_1153",
["obtiznost"] = 0.5304,
["reseni"] = {
["float"] = 0.28888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 45 },
["render"] = "\\frac{65}{225}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{45}",
["y"] = 13,
["z"] = 45 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "14 + (-7)",
["typ"] = "plus" },
["render"] = "8 + 14 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 14 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{(8 + 14 + (-7))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{(8 + 14 + (-7))^2} \\cdot 5",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.45, bodu=106, $$(10 + 1\frac{3}{10} - 1\frac{3}{4}) \cdot 9 \cdot 2\frac{3}{8}=\textcolor{white}{204\frac{21}{160}}$$return {
["body"] = 106,
["id"] = "GHk5Q9_0727_1153",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 204.13125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32661,
["jmenovatel"] = 160 },
["render"] = "\\frac{32661}{160}",
["typ"] = "cislo" },
["tex"] = "204\\frac{21}{160}",
["x"] = 204,
["y"] = 21,
["z"] = 160 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "10 + 1\\frac{3}{10} - 1\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{3}{10} - 1\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "(10 + 1\\frac{3}{10} - 1\\frac{3}{4}) \\cdot 9 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.46, bodu=81, $$4\frac{3}{6} \cdot (8 - (-11 - (-10) - 11) + 4\frac{4}{8})=\textcolor{white}{110{,}25}$$return {
["body"] = 81,
["id"] = "FYRxE9_0727_1153",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 110.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 4 },
["render"] = "\\frac{441}{4}",
["typ"] = "cislo" },
["tex"] = "110\\frac{1}{4}",
["tex_float"] = "110{,}25",
["x"] = 110,
["y"] = 1,
["z"] = 4 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 - (-10) - 11",
["typ"] = "minus" },
["render"] = "(-11 - (-10) - 11)",
["typ"] = "zavorka" },
["render"] = "8 - (-11 - (-10) - 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "8 - (-11 - (-10) - 11) + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(8 - (-11 - (-10) - 11) + 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} \\cdot (8 - (-11 - (-10) - 11) + 4\\frac{4}{8})",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.47, bodu=59, $$\frac{-3}{16} \cdot -9 \cdot 2\frac{5}{8}=\textcolor{white}{4\frac{55}{128}}$$return {
["body"] = 59,
["id"] = "Bn5W8W_0727_1153",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 4.4296875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 128 },
["render"] = "\\frac{567}{128}",
["typ"] = "cislo" },
["tex"] = "4\\frac{55}{128}",
["x"] = 4,
["y"] = 55,
["z"] = 128 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{16} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{16} \\cdot -9 \\cdot 2\\frac{5}{8}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.48, bodu=84, $$2\frac{5}{9} \cdot 9 \cdot \frac{3\frac{3}{7} + 9}{6}=\textcolor{white}{47\frac{9}{14}}$$return {
["body"] = 84,
["id"] = "Kpcxvw_0727_1153",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 47.642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 667,
["jmenovatel"] = 14 },
["render"] = "\\frac{6003}{126}",
["typ"] = "cislo" },
["tex"] = "47\\frac{9}{14}",
["x"] = 47,
["y"] = 9,
["z"] = 14 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{7} + 9}{6}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{3\\frac{3}{7} + 9}{6}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{9} \\cdot 9 \\cdot \\frac{3\\frac{3}{7} + 9}{6}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.49, bodu=40, $$12 - 8 + 14 \cdot \frac{9}{10}=\textcolor{white}{16{,}6}$$return {
["body"] = 40,
["id"] = "NjaTcZ_0727_1153",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 16.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 5 },
["render"] = "\\frac{83}{5}",
["typ"] = "cislo" },
["tex"] = "16\\frac{3}{5}",
["tex_float"] = "16{,}6",
["x"] = 16,
["y"] = 3,
["z"] = 5 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{9}{10}",
["typ"] = "krat" },
["render"] = "12 - 8 + 14 \\cdot \\frac{9}{10}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.5, bodu=71, $$\frac{(-4 \cdot 1\frac{1}{1} + (-13) + 7)^2 + (-6)}{2\frac{1}{3}}=\textcolor{white}{81\frac{3}{7}}$$return {
["body"] = 71,
["id"] = "UYzqMw_0727_1153",
["obtiznost"] = 0.7788,
["reseni"] = {
["float"] = 81.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 570,
["jmenovatel"] = 7 },
["render"] = "\\frac{570}{7}",
["typ"] = "cislo" },
["tex"] = "81\\frac{3}{7}",
["x"] = 81,
["y"] = 3,
["z"] = 7 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{1}{1}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{1}{1}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{1}{1} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{1}{1} + (-13) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 \\cdot 1\\frac{1}{1} + (-13) + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(-4 \\cdot 1\\frac{1}{1} + (-13) + 7)^2 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{(-4 \\cdot 1\\frac{1}{1} + (-13) + 7)^2 + (-6)}{2\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.51, bodu=42, $$\frac{(-9 - 5) \cdot 7}{-2 \cdot -8}=\textcolor{white}{-6{,}125}$$return {
["body"] = 42,
["id"] = "1EviCo_0727_1153",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -6.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 8 },
["render"] = "\\frac{-98}{16}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{1}{8}",
["tex_float"] = "-6{,}125",
["x"] = -6,
["y"] = 1,
["z"] = 8 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 - 5",
["typ"] = "minus" },
["render"] = "(-9 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-9 - 5) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-2 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{(-9 - 5) \\cdot 7}{-2 \\cdot -8}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.52, bodu=64, $$(13 + 12) \cdot (4\frac{1}{6} + 4 + 3) - (-12)=\textcolor{white}{291\frac{1}{6}}$$return {
["body"] = 64,
["id"] = "PzpedH_0727_1153",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 291.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1747,
["jmenovatel"] = 6 },
["render"] = "\\frac{1747}{6}",
["typ"] = "cislo" },
["tex"] = "291\\frac{1}{6}",
["x"] = 291,
["y"] = 1,
["z"] = 6 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4 + 3",
["typ"] = "plus" },
["render"] = "4\\frac{1}{6} + 4 + 3",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + 4 + 3)",
["typ"] = "zavorka" },
["render"] = "(13 + 12) \\cdot (4\\frac{1}{6} + 4 + 3)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(13 + 12) \\cdot (4\\frac{1}{6} + 4 + 3) - (-12)",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.53, bodu=22, $$-9 \cdot 10 + (-15 - (-15 \cdot 12))=\textcolor{white}{75}$$return {
["body"] = 22,
["id"] = "Zke8Lx_0727_1153",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 1 },
["render"] = "\\frac{75}{1}",
["typ"] = "cislo" },
["tex"] = "75",
["x"] = 75 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 12",
["typ"] = "krat" },
["render"] = "-15 - (-15 \\cdot 12)",
["typ"] = "minus" },
["render"] = "-9 \\cdot 10 + (-15 - (-15 \\cdot 12))",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.54, bodu=67, $$(\frac{8}{-13} - 7) \cdot 14 - 1\frac{3}{7}=\textcolor{white}{-108\frac{4}{91}}$$return {
["body"] = 67,
["id"] = "tHz8Nh_0727_1153",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -108.04395604396,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9832,
["jmenovatel"] = 91 },
["render"] = "\\frac{-9832}{91}",
["typ"] = "cislo" },
["tex"] = "-108\\frac{4}{91}",
["x"] = -108,
["y"] = 4,
["z"] = 91 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-13} - 7",
["typ"] = "minus" },
["render"] = "(\\frac{8}{-13} - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{-13} - 7) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{-13} - 7) \\cdot 14 - 1\\frac{3}{7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.55, bodu=68, $$-13 \cdot 9 - (-8 - (-5)) - 1\frac{2}{7}=\textcolor{white}{-115\frac{2}{7}}$$return {
["body"] = 68,
["id"] = "mvaoWO_0727_1153",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -115.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -807,
["jmenovatel"] = 7 },
["render"] = "\\frac{-807}{7}",
["typ"] = "cislo" },
["tex"] = "-115\\frac{2}{7}",
["x"] = -115,
["y"] = 2,
["z"] = 7 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 - (-5)",
["typ"] = "minus" },
["render"] = "(-8 - (-5))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot 9 - (-8 - (-5))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 9 - (-8 - (-5)) - 1\\frac{2}{7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.56, bodu=47, $$\frac{\frac{13}{-8} \cdot -13}{11}=\textcolor{white}{1\frac{81}{88}}$$return {
["body"] = 47,
["id"] = "UTngNZ_0727_1153",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 1.9204545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 88 },
["render"] = "\\frac{169}{88}",
["typ"] = "cislo" },
["tex"] = "1\\frac{81}{88}",
["x"] = 1,
["y"] = 81,
["z"] = 88 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-8} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{-8} \\cdot -13}{11}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.57, bodu=123, $$4\frac{4}{6} + 13 \cdot (-10 + \frac{4\frac{1}{10}}{2\frac{1}{7}})=\textcolor{white}{-100{,}46}$$return {
["body"] = 123,
["id"] = "gsez1t_0727_1153",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -100.46,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5023,
["jmenovatel"] = 50 },
["render"] = "\\frac{-45207}{450}",
["typ"] = "cislo" },
["tex"] = "-100\\frac{23}{50}",
["tex_float"] = "-100{,}46",
["x"] = -100,
["y"] = 23,
["z"] = 50 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{10}}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{4\\frac{1}{10}}{2\\frac{1}{7}}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{4\\frac{1}{10}}{2\\frac{1}{7}})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-10 + \\frac{4\\frac{1}{10}}{2\\frac{1}{7}})",
["typ"] = "krat" },
["render"] = "4\\frac{4}{6} + 13 \\cdot (-10 + \\frac{4\\frac{1}{10}}{2\\frac{1}{7}})",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.58, bodu=71, $$\frac{14}{6 \cdot \frac{2\frac{5}{10}}{-14}}=\textcolor{white}{-13\frac{1}{15}}$$return {
["body"] = 71,
["id"] = "96IZfQ_0727_1153",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -13.066666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -196,
["jmenovatel"] = 15 },
["render"] = "\\frac{196}{-15}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{1}{15}",
["x"] = -13,
["y"] = 1,
["z"] = 15 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{-14}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{2\\frac{5}{10}}{-14}",
["typ"] = "krat" },
["render"] = "\\frac{14}{6 \\cdot \\frac{2\\frac{5}{10}}{-14}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.59, bodu=85, $$3\frac{3}{8} + 11 - 15 - (15 + (-11))^4 - (-15)=\textcolor{white}{-241{,}625}$$return {
["body"] = 85,
["id"] = "I8VaQz_0727_1153",
["obtiznost"] = 0.8928,
["reseni"] = {
["float"] = -241.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1933,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1933}{8}",
["typ"] = "cislo" },
["tex"] = "-241\\frac{5}{8}",
["tex_float"] = "-241{,}625",
["x"] = -241,
["y"] = 5,
["z"] = 8 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - 15",
["typ"] = "minus" },
["render"] = "3\\frac{3}{8} + 11 - 15",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "15 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(15 + (-11))^4",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{8} + 11 - 15 - (15 + (-11))^4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} + 11 - 15 - (15 + (-11))^4 - (-15)",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.6, bodu=51, $$\frac{\frac{12}{5}}{9 + 11 - (10 - (-7))}=\textcolor{white}{0{,}8}$$return {
["body"] = 51,
["id"] = "BUOPRi_0727_1153",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 0.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 5 },
["render"] = "\\frac{12}{15}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{5}",
["tex_float"] = "0{,}8",
["y"] = 4,
["z"] = 5 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 - (-7)",
["typ"] = "minus" },
["render"] = "(10 - (-7))",
["typ"] = "zavorka" },
["render"] = "11 - (10 - (-7))",
["typ"] = "minus" },
["render"] = "9 + 11 - (10 - (-7))",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{12}{5}}{9 + 11 - (10 - (-7))}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.61, bodu=81, $$\frac{(-15 - (-7 + 3 - 6))^3}{\frac{4\frac{2}{6}}{8}}=\textcolor{white}{-230\frac{10}{13}}$$return {
["body"] = 81,
["id"] = "nvS8gl_0727_1153",
["obtiznost"] = 0.8604,
["reseni"] = {
["float"] = -230.76923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3000,
["jmenovatel"] = 13 },
["render"] = "\\frac{-3000}{13}",
["typ"] = "cislo" },
["tex"] = "-230\\frac{10}{13}",
["x"] = -230,
["y"] = 10,
["z"] = 13 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.61",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 - 6",
["typ"] = "minus" },
["render"] = "-7 + 3 - 6",
["typ"] = "plus" },
["render"] = "(-7 + 3 - 6)",
["typ"] = "zavorka" },
["render"] = "-15 - (-7 + 3 - 6)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-15 - (-7 + 3 - 6))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-15 - (-7 + 3 - 6))^3}{\\frac{4\\frac{2}{6}}{8}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.62, bodu=76, $$\frac{-14 \cdot (2\frac{4}{9} - (16 - 9))}{-9}=\textcolor{white}{-7\frac{7}{81}}$$return {
["body"] = 76,
["id"] = "2zexKO_0727_1153",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -7.0864197530864,
["objekt"] = {
["hodnota"] = {
["citatel"] = -574,
["jmenovatel"] = 81 },
["render"] = "\\frac{574}{-81}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{7}{81}",
["x"] = -7,
["y"] = 7,
["z"] = 81 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "16 - 9",
["typ"] = "minus" },
["render"] = "(16 - 9)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} - (16 - 9)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - (16 - 9))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (2\\frac{4}{9} - (16 - 9))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot (2\\frac{4}{9} - (16 - 9))}{-9}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.63, bodu=78, $$\frac{-11}{(-15 + 2\frac{1}{4} + 5 \cdot -4) \cdot 6}=\textcolor{white}{\frac{22}{393}}$$return {
["body"] = 78,
["id"] = "xcE9fN_0727_1153",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 0.055979643765903,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 393 },
["render"] = "\\frac{-22}{-393}",
["typ"] = "cislo" },
["tex"] = "\\frac{22}{393}",
["y"] = 22,
["z"] = 393 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-15 + 2\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "5 \\cdot -4",
["typ"] = "krat" },
["render"] = "-15 + 2\\frac{1}{4} + 5 \\cdot -4",
["typ"] = "plus" },
["render"] = "(-15 + 2\\frac{1}{4} + 5 \\cdot -4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-15 + 2\\frac{1}{4} + 5 \\cdot -4) \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-11}{(-15 + 2\\frac{1}{4} + 5 \\cdot -4) \\cdot 6}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.64, bodu=105, $$16 - (-8 + 4\frac{5}{10}) \cdot 3\frac{1}{3} + 10 - 16=\textcolor{white}{21\frac{2}{3}}$$return {
["body"] = 105,
["id"] = "cA7ZIM_0727_1153",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 21.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 3 },
["render"] = "\\frac{65}{3}",
["typ"] = "cislo" },
["tex"] = "21\\frac{2}{3}",
["x"] = 21,
["y"] = 2,
["z"] = 3 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-8 + 4\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(-8 + 4\\frac{5}{10}) \\cdot 3\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "16 - (-8 + 4\\frac{5}{10}) \\cdot 3\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 - (-8 + 4\\frac{5}{10}) \\cdot 3\\frac{1}{3} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "16 - (-8 + 4\\frac{5}{10}) \\cdot 3\\frac{1}{3} + 10 - 16",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.65, bodu=80, $$\frac{12}{2\frac{5}{12} + 3} - 10 \cdot 9 + (-12)=\textcolor{white}{-99\frac{51}{65}}$$return {
["body"] = 80,
["id"] = "sYcJVY_0727_1153",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -99.784615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6486,
["jmenovatel"] = 65 },
["render"] = "\\frac{-6486}{65}",
["typ"] = "cislo" },
["tex"] = "-99\\frac{51}{65}",
["x"] = -99,
["y"] = 51,
["z"] = 65 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 3",
["typ"] = "plus" },
["render"] = "\\frac{12}{2\\frac{5}{12} + 3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{12}{2\\frac{5}{12} + 3} - 10 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{5}{12} + 3} - 10 \\cdot 9 + (-12)",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.66, bodu=157, $$(13 - 18)^2 + (-12) - (\frac{1\frac{2}{6}}{4\frac{4}{9} + 8})^2=\textcolor{white}{12\frac{775}{784}}$$return {
["body"] = 157,
["id"] = "ktI896_0727_1153",
["obtiznost"] = 1.3876,
["reseni"] = {
["float"] = 12.988520408163,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10183,
["jmenovatel"] = 784 },
["render"] = "\\frac{10183}{784}",
["typ"] = "cislo" },
["tex"] = "12\\frac{775}{784}",
["x"] = 12,
["y"] = 775,
["z"] = 784 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "13 - 18",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 18)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(13 - 18)^2 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 8",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{6}}{4\\frac{4}{9} + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{6}}{4\\frac{4}{9} + 8})^2",
["typ"] = "mocnina" },
["render"] = "(13 - 18)^2 + (-12) - (\\frac{1\\frac{2}{6}}{4\\frac{4}{9} + 8})^2",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.67, bodu=109, $$\frac{-7}{3\frac{5}{10} \cdot 2\frac{5}{10} \cdot 16 \cdot -11}=\textcolor{white}{\frac{1}{220}}$$return {
["body"] = 109,
["id"] = "JAJxJ9_0727_1153",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.0045454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 220 },
["render"] = "\\frac{-7}{-1540}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{220}",
["y"] = 1,
["z"] = 220 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 16 \\cdot -11",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} \\cdot 2\\frac{5}{10} \\cdot 16 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-7}{3\\frac{5}{10} \\cdot 2\\frac{5}{10} \\cdot 16 \\cdot -11}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.68, bodu=87, $$-11 - \frac{(\frac{-12}{10})^2}{-11} + 5 + 2\frac{4}{12}=\textcolor{white}{-3\frac{442}{825}}$$return {
["body"] = 87,
["id"] = "P7d18C_0727_1153",
["obtiznost"] = 0.9044,
["reseni"] = {
["float"] = -3.5357575757576,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2917,
["jmenovatel"] = 825 },
["render"] = "\\frac{-2917}{825}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{442}{825}",
["x"] = -3,
["y"] = 442,
["z"] = 825 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-12}{10})^2}{-11}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{(\\frac{-12}{10})^2}{-11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 - \\frac{(\\frac{-12}{10})^2}{-11} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-11 - \\frac{(\\frac{-12}{10})^2}{-11} + 5 + 2\\frac{4}{12}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.69, bodu=112, $$\frac{\frac{\frac{-13}{-16}}{1\frac{2}{8} \cdot 1\frac{2}{9}}}{13}=\textcolor{white}{\frac{9}{220}}$$return {
["body"] = 112,
["id"] = "vBUAMw_0727_1153",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 0.040909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 220 },
["render"] = "\\frac{117}{2860}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{220}",
["y"] = 9,
["z"] = 220 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-13}{-16}}{1\\frac{2}{8} \\cdot 1\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-13}{-16}}{1\\frac{2}{8} \\cdot 1\\frac{2}{9}}}{13}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.7, bodu=113, $$\frac{-20 - 4\frac{2}{7}}{\frac{\frac{8}{12}}{2\frac{4}{7}}}=\textcolor{white}{-93\frac{33}{49}}$$return {
["body"] = 113,
["id"] = "zItUzv_0727_1153",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -93.673469387755,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4590,
["jmenovatel"] = 49 },
["render"] = "\\frac{-4590}{49}",
["typ"] = "cislo" },
["tex"] = "-93\\frac{33}{49}",
["x"] = -93,
["y"] = 33,
["z"] = 49 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{12}}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-20 - 4\\frac{2}{7}}{\\frac{\\frac{8}{12}}{2\\frac{4}{7}}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.71, bodu=115, $$7 \cdot -10 \cdot \frac{4\frac{1}{2}}{-20 - 3\frac{4}{5}}=\textcolor{white}{13\frac{4}{17}}$$return {
["body"] = 115,
["id"] = "mnR9hL_0727_1153",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 13.235294117647,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 17 },
["render"] = "\\frac{1575}{119}",
["typ"] = "cislo" },
["tex"] = "13\\frac{4}{17}",
["x"] = 13,
["y"] = 4,
["z"] = 17 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-20 - 3\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{2}}{-20 - 3\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{4\\frac{1}{2}}{-20 - 3\\frac{4}{5}}",
["typ"] = "krat" },
["render"] = "7 \\cdot -10 \\cdot \\frac{4\\frac{1}{2}}{-20 - 3\\frac{4}{5}}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.72, bodu=116, $$1\frac{5}{12} \cdot (2\frac{4}{10} - (-7 - (-16)) \cdot 14)=\textcolor{white}{-175{,}1}$$return {
["body"] = 116,
["id"] = "TJ0ORK_0727_1153",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -175.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1751,
["jmenovatel"] = 10 },
["render"] = "\\frac{-10506}{60}",
["typ"] = "cislo" },
["tex"] = "-175\\frac{1}{10}",
["tex_float"] = "-175{,}1",
["x"] = -175,
["y"] = 1,
["z"] = 10 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-7 - (-16)",
["typ"] = "minus" },
["render"] = "(-7 - (-16))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-7 - (-16)) \\cdot 14",
["typ"] = "krat" },
["render"] = "2\\frac{4}{10} - (-7 - (-16)) \\cdot 14",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} - (-7 - (-16)) \\cdot 14)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} \\cdot (2\\frac{4}{10} - (-7 - (-16)) \\cdot 14)",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.73, bodu=66, $$-10 \cdot (15 - (-14)) + 11 - \frac{9}{-7}=\textcolor{white}{-277\frac{5}{7}}$$return {
["body"] = 66,
["id"] = "BU3Py3_0727_1153",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -277.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1944,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1944}{7}",
["typ"] = "cislo" },
["tex"] = "-277\\frac{5}{7}",
["x"] = -277,
["y"] = 5,
["z"] = 7 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "15 - (-14)",
["typ"] = "minus" },
["render"] = "(15 - (-14))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (15 - (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (15 - (-14)) + 11",
["typ"] = "plus" },
["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"] = "-10 \\cdot (15 - (-14)) + 11 - \\frac{9}{-7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.74, bodu=149, $$9 \cdot (4\frac{5}{10} - 4 \cdot 2\frac{3}{11}) - 4\frac{2}{7}=\textcolor{white}{-45\frac{93}{154}}$$return {
["body"] = 149,
["id"] = "korVPi_0727_1153",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -45.603896103896,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7023,
["jmenovatel"] = 154 },
["render"] = "\\frac{-7023}{154}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{93}{154}",
["x"] = -45,
["y"] = 93,
["z"] = 154 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 2\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{10} - 4 \\cdot 2\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{10} - 4 \\cdot 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (4\\frac{5}{10} - 4 \\cdot 2\\frac{3}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "9 \\cdot (4\\frac{5}{10} - 4 \\cdot 2\\frac{3}{11}) - 4\\frac{2}{7}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.75, bodu=169, $$\frac{1\frac{1}{8} + (1\frac{5}{12} \cdot -12)^2}{4\frac{1}{6} \cdot -18}=\textcolor{white}{-3\frac{521}{600}}$$return {
["body"] = 169,
["id"] = "t0AEuf_0727_1153",
["obtiznost"] = 1.466,
["reseni"] = {
["float"] = -3.8683333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2321,
["jmenovatel"] = 600 },
["render"] = "\\frac{2321}{-600}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{521}{600}",
["x"] = -3,
["y"] = 521,
["z"] = 600 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot -12",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{12} \\cdot -12)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{8} + (1\\frac{5}{12} \\cdot -12)^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} \\cdot -18",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{8} + (1\\frac{5}{12} \\cdot -12)^2}{4\\frac{1}{6} \\cdot -18}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.76, bodu=94, $$\frac{14 + 2\frac{2}{4} + \frac{9}{-7}}{15 \cdot -13}=\textcolor{white}{-\frac{71}{910}}$$return {
["body"] = 94,
["id"] = "GBfh2E_0727_1153",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -0.078021978021978,
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 910 },
["render"] = "\\frac{213}{-2730}",
["typ"] = "cislo" },
["tex"] = "-\\frac{71}{910}",
["y"] = -71,
["z"] = 910 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["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"] = "2\\frac{2}{4} + \\frac{9}{-7}",
["typ"] = "plus" },
["render"] = "14 + 2\\frac{2}{4} + \\frac{9}{-7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{14 + 2\\frac{2}{4} + \\frac{9}{-7}}{15 \\cdot -13}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.77, bodu=154, $$(3\frac{2}{10} + 2\frac{3}{6}) \cdot (14 + 2\frac{1}{6} - (12 + 13 + 21))=\textcolor{white}{-170{,}05}$$return {
["body"] = 154,
["id"] = "snPDHx_0727_1153",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -170.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3401,
["jmenovatel"] = 20 },
["render"] = "\\frac{-10203}{60}",
["typ"] = "cislo" },
["tex"] = "-170\\frac{1}{20}",
["tex_float"] = "-170{,}05",
["x"] = -170,
["y"] = 1,
["z"] = 20 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{10} + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "13 + 21",
["typ"] = "plus" },
["render"] = "12 + 13 + 21",
["typ"] = "plus" },
["render"] = "(12 + 13 + 21)",
["typ"] = "zavorka" },
["render"] = "14 + 2\\frac{1}{6} - (12 + 13 + 21)",
["typ"] = "minus" },
["render"] = "(14 + 2\\frac{1}{6} - (12 + 13 + 21))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{2}{10} + 2\\frac{3}{6}) \\cdot (14 + 2\\frac{1}{6} - (12 + 13 + 21))",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.78, bodu=97, $$17 + 15 + \frac{-10 \cdot 14 + 4\frac{4}{11}}{16}=\textcolor{white}{23\frac{23}{44}}$$return {
["body"] = 97,
["id"] = "kCgzNg_0727_1153",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 23.522727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1035,
["jmenovatel"] = 44 },
["render"] = "\\frac{1035}{44}",
["typ"] = "cislo" },
["tex"] = "23\\frac{23}{44}",
["x"] = 23,
["y"] = 23,
["z"] = 44 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "17 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 14 + 4\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot 14 + 4\\frac{4}{11}}{16}",
["typ"] = "lomeno" },
["render"] = "17 + 15 + \\frac{-10 \\cdot 14 + 4\\frac{4}{11}}{16}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.79, bodu=126, $$\frac{15}{15 - \frac{4\frac{3}{9}}{12}} - 2\frac{4}{8}=\textcolor{white}{-1\frac{501}{1054}}$$return {
["body"] = 126,
["id"] = "UowUWj_0727_1153",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -1.4753320683112,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1555,
["jmenovatel"] = 1054 },
["render"] = "\\frac{-1555}{1054}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{501}{1054}",
["x"] = -1,
["y"] = 501,
["z"] = 1054 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{12}",
["typ"] = "lomeno" },
["render"] = "15 - \\frac{4\\frac{3}{9}}{12}",
["typ"] = "minus" },
["render"] = "\\frac{15}{15 - \\frac{4\\frac{3}{9}}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{15 - \\frac{4\\frac{3}{9}}{12}} - 2\\frac{4}{8}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.8, bodu=128, $$\frac{-11 \cdot (1\frac{2}{4} + 11) + 4\frac{1}{10}}{\frac{-14}{-11}}=\textcolor{white}{-104\frac{57}{70}}$$return {
["body"] = 128,
["id"] = "KAE5XF_0727_1153",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -104.81428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7337,
["jmenovatel"] = 70 },
["render"] = "\\frac{-7337}{70}",
["typ"] = "cislo" },
["tex"] = "-104\\frac{57}{70}",
["x"] = -104,
["y"] = 57,
["z"] = 70 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} + 11",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{4} + 11)",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (1\\frac{2}{4} + 11)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot (1\\frac{2}{4} + 11) + 4\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 \\cdot (1\\frac{2}{4} + 11) + 4\\frac{1}{10}}{\\frac{-14}{-11}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.81, bodu=229, $$(\frac{3\frac{1}{4}}{3\frac{1}{5}} - (17 - 1\frac{5}{13} \cdot 4\frac{1}{9})) \cdot 3\frac{4}{5}=\textcolor{white}{-39\frac{457}{4160}}$$return {
["body"] = 229,
["id"] = "cE9jA2_0727_1153",
["obtiznost"] = 1.81,
["reseni"] = {
["float"] = -39.109855769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -162697,
["jmenovatel"] = 4160 },
["render"] = "\\frac{-162697}{4160}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{457}{4160}",
["x"] = -39,
["y"] = 457,
["z"] = 4160 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} \\cdot 4\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "17 - 1\\frac{5}{13} \\cdot 4\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(17 - 1\\frac{5}{13} \\cdot 4\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{1}{4}}{3\\frac{1}{5}} - (17 - 1\\frac{5}{13} \\cdot 4\\frac{1}{9})",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{1}{4}}{3\\frac{1}{5}} - (17 - 1\\frac{5}{13} \\cdot 4\\frac{1}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{1}{4}}{3\\frac{1}{5}} - (17 - 1\\frac{5}{13} \\cdot 4\\frac{1}{9})) \\cdot 3\\frac{4}{5}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.82, bodu=195, $$4\frac{4}{9} + \frac{\frac{3\frac{1}{4}}{4\frac{3}{5}}}{-6} - 3 - 2\frac{4}{11}=\textcolor{white}{-1\frac{673}{18216}}$$return {
["body"] = 195,
["id"] = "qTSfDs_0727_1153",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = -1.0369455423803,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18889,
["jmenovatel"] = 18216 },
["render"] = "\\frac{-18889}{18216}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{673}{18216}",
["x"] = -1,
["y"] = 673,
["z"] = 18216 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{-6} - 3",
["typ"] = "minus" },
["render"] = "4\\frac{4}{9} + \\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{-6} - 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + \\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{-6} - 3 - 2\\frac{4}{11}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.83, bodu=151, $$-20 + 2\frac{4}{13} + 4\frac{4}{9} + \frac{(\frac{7 - 14}{-16})^2}{15}=\textcolor{white}{-13\frac{35209}{149760}}$$return {
["body"] = 151,
["id"] = "KMXXpb_0727_1153",
["obtiznost"] = 1.352,
["reseni"] = {
["float"] = -13.235102831197,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1982089,
["jmenovatel"] = 149760 },
["render"] = "\\frac{-5946267}{449280}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{35209}{149760}",
["x"] = -13,
["y"] = 35209,
["z"] = 149760 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-20 + 2\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-20 + 2\\frac{4}{13} + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 14}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7 - 14}{-16})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7 - 14}{-16})^2}{15}",
["typ"] = "lomeno" },
["render"] = "-20 + 2\\frac{4}{13} + 4\\frac{4}{9} + \\frac{(\\frac{7 - 14}{-16})^2}{15}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.84, bodu=165, $$\frac{13}{-15} - (1\frac{5}{7} - (1\frac{2}{8} - 3\frac{1}{9} - 11))=\textcolor{white}{-15\frac{557}{1260}}$$return {
["body"] = 165,
["id"] = "U0WMcn_0727_1153",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -15.442063492063,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19457,
["jmenovatel"] = 1260 },
["render"] = "\\frac{-58371}{3780}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{557}{1260}",
["x"] = -15,
["y"] = 557,
["z"] = 1260 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 3\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 3\\frac{1}{9} - 11",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{8} - 3\\frac{1}{9} - 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{7} - (1\\frac{2}{8} - 3\\frac{1}{9} - 11)",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{7} - (1\\frac{2}{8} - 3\\frac{1}{9} - 11))",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{-15} - (1\\frac{5}{7} - (1\\frac{2}{8} - 3\\frac{1}{9} - 11))",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.85, bodu=167, $$(18 + (-21) + (-8 \cdot -20)) \cdot (2\frac{3}{10} - 1\frac{4}{10} \cdot 1\frac{1}{8})=\textcolor{white}{113{,}825}$$return {
["body"] = 167,
["id"] = "kUm36f_0727_1153",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 113.825,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4553,
["jmenovatel"] = 40 },
["render"] = "\\frac{4553}{40}",
["typ"] = "cislo" },
["tex"] = "113\\frac{33}{40}",
["tex_float"] = "113{,}825",
["x"] = 113,
["y"] = 33,
["z"] = 40 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "18 + (-21)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -20",
["typ"] = "krat" },
["render"] = "18 + (-21) + (-8 \\cdot -20)",
["typ"] = "plus" },
["render"] = "(18 + (-21) + (-8 \\cdot -20))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{10} - 1\\frac{4}{10} \\cdot 1\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - 1\\frac{4}{10} \\cdot 1\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "(18 + (-21) + (-8 \\cdot -20)) \\cdot (2\\frac{3}{10} - 1\\frac{4}{10} \\cdot 1\\frac{1}{8})",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.86, bodu=168, $$\frac{-18 - \frac{4\frac{1}{7}}{4\frac{1}{7} - (-11)}}{-12 - 4\frac{4}{6}}=\textcolor{white}{1\frac{511}{5300}}$$return {
["body"] = 168,
["id"] = "8Nju6L_0727_1153",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 1.0964150943396,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5811,
["jmenovatel"] = 5300 },
["render"] = "\\frac{-5811}{-5300}",
["typ"] = "cislo" },
["tex"] = "1\\frac{511}{5300}",
["x"] = 1,
["y"] = 511,
["z"] = 5300 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{7}}{4\\frac{1}{7} - (-11)}",
["typ"] = "lomeno" },
["render"] = "-18 - \\frac{4\\frac{1}{7}}{4\\frac{1}{7} - (-11)}",
["typ"] = "minus" },
["c2"] = {
["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"] = "minus" },
["render"] = "\\frac{-18 - \\frac{4\\frac{1}{7}}{4\\frac{1}{7} - (-11)}}{-12 - 4\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.87, bodu=170, $$4\frac{2}{6} - 15 + (-14) - (3\frac{2}{10} - (-7 + (-9 \cdot 1\frac{5}{11})))=\textcolor{white}{-47\frac{158}{165}}$$return {
["body"] = 170,
["id"] = "YWLUz3_0727_1153",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -47.957575757576,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7913,
["jmenovatel"] = 165 },
["render"] = "\\frac{-7913}{165}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{158}{165}",
["x"] = -47,
["y"] = 158,
["z"] = 165 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 15 + (-14)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "-7 + (-9 \\cdot 1\\frac{5}{11})",
["typ"] = "plus" },
["render"] = "(-7 + (-9 \\cdot 1\\frac{5}{11}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{10} - (-7 + (-9 \\cdot 1\\frac{5}{11}))",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{10} - (-7 + (-9 \\cdot 1\\frac{5}{11})))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{6} - 15 + (-14) - (3\\frac{2}{10} - (-7 + (-9 \\cdot 1\\frac{5}{11})))",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.88, bodu=174, $$\frac{\frac{17}{(2\frac{3}{12} + 3\frac{1}{5}) \cdot 13}}{(8 - (-15))^2}=\textcolor{white}{\frac{340}{749593}}$$return {
["body"] = 174,
["id"] = "1YfMhG_0727_1153",
["obtiznost"] = 1.492,
["reseni"] = {
["float"] = 0.00045357947579553,
["objekt"] = {
["hodnota"] = {
["citatel"] = 340,
["jmenovatel"] = 749593 },
["render"] = "\\frac{340}{749593}",
["typ"] = "cislo" },
["tex"] = "\\frac{340}{749593}",
["y"] = 340,
["z"] = 749593 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{12} + 3\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{12} + 3\\frac{1}{5}) \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{17}{(2\\frac{3}{12} + 3\\frac{1}{5}) \\cdot 13}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-15))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{17}{(2\\frac{3}{12} + 3\\frac{1}{5}) \\cdot 13}}{(8 - (-15))^2}",
["typ"] = "lomeno" } }
seed: USfpqYDdNDA0N3cNeZX6_0.89, bodu=141, $$\frac{3}{-18} - \frac{2\frac{3}{10}}{11} - \frac{14}{3\frac{5}{12}}=\textcolor{white}{-4\frac{3202}{6765}}$$return {
["body"] = 141,
["id"] = "t5KHMF_0727_1153",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -4.4733185513673,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30262,
["jmenovatel"] = 6765 },
["render"] = "\\frac{-30262}{6765}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3202}{6765}",
["x"] = -4,
["y"] = 3202,
["z"] = 6765 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{10}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{3}{-18} - \\frac{2\\frac{3}{10}}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3}{-18} - \\frac{2\\frac{3}{10}}{11} - \\frac{14}{3\\frac{5}{12}}",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.9, bodu=144, $$(4\frac{5}{10} - 3)^2 \cdot (17 \cdot 1\frac{1}{6} + 19 - (-17))=\textcolor{white}{125{,}625}$$return {
["body"] = 144,
["id"] = "xfhyZ2_0727_1153",
["obtiznost"] = 1.3052,
["reseni"] = {
["float"] = 125.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1005,
["jmenovatel"] = 8 },
["render"] = "\\frac{3015}{24}",
["typ"] = "cislo" },
["tex"] = "125\\frac{5}{8}",
["tex_float"] = "125{,}625",
["x"] = 125,
["y"] = 5,
["z"] = 8 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.9",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - 3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{5}{10} - 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "19 - (-17)",
["typ"] = "minus" },
["render"] = "17 \\cdot 1\\frac{1}{6} + 19 - (-17)",
["typ"] = "plus" },
["render"] = "(17 \\cdot 1\\frac{1}{6} + 19 - (-17))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{5}{10} - 3)^2 \\cdot (17 \\cdot 1\\frac{1}{6} + 19 - (-17))",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.91, bodu=211, $$8 \cdot 2\frac{5}{13} \cdot -14 \cdot (2\frac{5}{11} + 3\frac{3}{7} - 4\frac{5}{10})=\textcolor{white}{-369\frac{57}{143}}$$return {
["body"] = 211,
["id"] = "5ZRpsf_0727_1153",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -369.3986013986,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52824,
["jmenovatel"] = 143 },
["render"] = "\\frac{-739536}{2002}",
["typ"] = "cislo" },
["tex"] = "-369\\frac{57}{143}",
["x"] = -369,
["y"] = 57,
["z"] = 143 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{5}{13} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "2\\frac{5}{11} + 3\\frac{3}{7} - 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} + 3\\frac{3}{7} - 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 2\\frac{5}{13} \\cdot -14 \\cdot (2\\frac{5}{11} + 3\\frac{3}{7} - 4\\frac{5}{10})",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.92, bodu=178, $$2\frac{5}{12} \cdot 13 \cdot \frac{\frac{-9}{2\frac{4}{5}}}{2\frac{4}{13}}=\textcolor{white}{-43\frac{85}{112}}$$return {
["body"] = 178,
["id"] = "69Kgoe_0727_1153",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -43.758928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4901,
["jmenovatel"] = 112 },
["render"] = "\\frac{-14703}{336}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{85}{112}",
["x"] = -43,
["y"] = 85,
["z"] = 112 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{2\\frac{4}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{2\\frac{4}{5}}}{2\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot \\frac{\\frac{-9}{2\\frac{4}{5}}}{2\\frac{4}{13}}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{12} \\cdot 13 \\cdot \\frac{\\frac{-9}{2\\frac{4}{5}}}{2\\frac{4}{13}}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.93, bodu=148, $$4\frac{5}{8} \cdot -19 \cdot -17 \cdot 3\frac{1}{5} \cdot (-12 + (-13))=\textcolor{white}{-119510}$$return {
["body"] = 148,
["id"] = "gLae7G_0727_1153",
["obtiznost"] = 1.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -119510,
["jmenovatel"] = 1 },
["render"] = "\\frac{-597550}{5}",
["typ"] = "cislo" },
["tex"] = "-119510",
["tex_float"] = "-119510",
["x"] = -119510 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-19 \\cdot -17",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} \\cdot -19 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot -19 \\cdot -17 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-12 + (-13)",
["typ"] = "plus" },
["render"] = "(-12 + (-13))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{8} \\cdot -19 \\cdot -17 \\cdot 3\\frac{1}{5} \\cdot (-12 + (-13))",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.94, bodu=149, $$4\frac{3}{9} \cdot -21 \cdot (2\frac{4}{13} + \frac{20}{17} - (-17))=\textcolor{white}{-1864\frac{1}{17}}$$return {
["body"] = 149,
["id"] = "TZH3Ia_0727_1153",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -1864.0588235294,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31689,
["jmenovatel"] = 17 },
["render"] = "\\frac{-411957}{221}",
["typ"] = "cislo" },
["tex"] = "-1864\\frac{1}{17}",
["x"] = -1864,
["y"] = 1,
["z"] = 17 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{20}{17}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{13} + \\frac{20}{17}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{13} + \\frac{20}{17} - (-17)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{13} + \\frac{20}{17} - (-17))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} \\cdot -21 \\cdot (2\\frac{4}{13} + \\frac{20}{17} - (-17))",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.95, bodu=218, $$(1\frac{3}{6} - (-15 + 2\frac{4}{11}) + (-16)) \cdot \frac{1\frac{1}{4}}{19 + 1\frac{5}{8}}=\textcolor{white}{-\frac{41}{363}}$$return {
["body"] = 218,
["id"] = "5Qi2zZ_0727_1153",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -0.1129476584022,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41,
["jmenovatel"] = 363 },
["render"] = "\\frac{-82}{726}",
["typ"] = "cislo" },
["tex"] = "-\\frac{41}{363}",
["y"] = -41,
["z"] = 363 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-15 + 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(-15 + 2\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{6} - (-15 + 2\\frac{4}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - (-15 + 2\\frac{4}{11}) + (-16)",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{6} - (-15 + 2\\frac{4}{11}) + (-16))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "19 + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{4}}{19 + 1\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{3}{6} - (-15 + 2\\frac{4}{11}) + (-16)) \\cdot \\frac{1\\frac{1}{4}}{19 + 1\\frac{5}{8}}",
["typ"] = "krat" } }
seed: USfpqYDdNDA0N3cNeZX6_0.96, bodu=244, $$\frac{1\frac{5}{15}}{4\frac{1}{8}} + (-22) - 4\frac{5}{11} + (-20 + 1\frac{3}{8} \cdot 14)^4=\textcolor{white}{-25\frac{20653}{25344}}$$return {
["body"] = 244,
["id"] = "XWDcXD_0727_1153",
["obtiznost"] = 1.8948,
["reseni"] = {
["float"] = -25.814906881313,
["objekt"] = {
["hodnota"] = {
["citatel"] = -654253,
["jmenovatel"] = 25344 },
["render"] = "\\frac{-654253}{25344}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{20653}{25344}",
["x"] = -25,
["y"] = 20653,
["z"] = 25344 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{4\\frac{1}{8}} + (-22)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{4\\frac{1}{8}} + (-22) - 4\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 14",
["typ"] = "krat" },
["render"] = "-20 + 1\\frac{3}{8} \\cdot 14",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-20 + 1\\frac{3}{8} \\cdot 14)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{15}}{4\\frac{1}{8}} + (-22) - 4\\frac{5}{11} + (-20 + 1\\frac{3}{8} \\cdot 14)^4",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.97, bodu=187, $$\frac{(1\frac{5}{10} - 2\frac{2}{8}) \cdot -11}{19} - (-21 - 2\frac{5}{14})=\textcolor{white}{23\frac{421}{532}}$$return {
["body"] = 187,
["id"] = "4vXtru_0727_1153",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 23.791353383459,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12657,
["jmenovatel"] = 532 },
["render"] = "\\frac{25314}{1064}",
["typ"] = "cislo" },
["tex"] = "23\\frac{421}{532}",
["x"] = 23,
["y"] = 421,
["z"] = 532 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{10} - 2\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{10} - 2\\frac{2}{8}) \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{5}{10} - 2\\frac{2}{8}) \\cdot -11}{19}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "-21 - 2\\frac{5}{14}",
["typ"] = "minus" },
["render"] = "(-21 - 2\\frac{5}{14})",
["typ"] = "zavorka" },
["render"] = "\\frac{(1\\frac{5}{10} - 2\\frac{2}{8}) \\cdot -11}{19} - (-21 - 2\\frac{5}{14})",
["typ"] = "minus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.98, bodu=188, $$1\frac{5}{13} + 2\frac{1}{11} \cdot 2\frac{5}{10} + (-24) + 17 + \frac{17}{15}=\textcolor{white}{\frac{3197}{4290}}$$return {
["body"] = 188,
["id"] = "0PBluA_0727_1153",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 0.74522144522145,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3197,
["jmenovatel"] = 4290 },
["render"] = "\\frac{3197}{4290}",
["typ"] = "cislo" },
["tex"] = "\\frac{3197}{4290}",
["y"] = 3197,
["z"] = 4290 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{11} \\cdot 2\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{11} \\cdot 2\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{11} \\cdot 2\\frac{5}{10} + (-24)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{17}{15}",
["typ"] = "lomeno" },
["render"] = "17 + \\frac{17}{15}",
["typ"] = "plus" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{11} \\cdot 2\\frac{5}{10} + (-24) + 17 + \\frac{17}{15}",
["typ"] = "plus" } }
seed: USfpqYDdNDA0N3cNeZX6_0.99, bodu=225, $$1\frac{5}{9} \cdot \frac{14}{2\frac{3}{9} + 4\frac{5}{11}} \cdot -11 + 1\frac{1}{9}=\textcolor{white}{-34\frac{13}{72}}$$return {
["body"] = 225,
["id"] = "Koj18k_0727_1153",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -34.180555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2461,
["jmenovatel"] = 72 },
["render"] = "\\frac{-7383}{216}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{13}{72}",
["x"] = -34,
["y"] = 13,
["z"] = 72 },
["seed"] = "USfpqYDdNDA0N3cNeZX6_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{14}{2\\frac{3}{9} + 4\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{9} \\cdot \\frac{14}{2\\frac{3}{9} + 4\\frac{5}{11}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot \\frac{14}{2\\frac{3}{9} + 4\\frac{5}{11}} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot \\frac{14}{2\\frac{3}{9} + 4\\frac{5}{11}} \\cdot -11 + 1\\frac{1}{9}",
["typ"] = "plus" } }
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