- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: M2fpk45Q119b1FcJzV9f_0, bodu=10, $$\frac{8}{7} - (8 - (-8))=\textcolor{white}{-14\frac{6}{7}}$$return {
["body"] = 10,
["id"] = "GVGbJI_0615_2207",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -14.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 7 },
["render"] = "\\frac{-104}{7}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{6}{7}",
["x"] = -14,
["y"] = 6,
["z"] = 7 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["render"] = "(8 - (-8))",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{7} - (8 - (-8))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.01, bodu=6, $$8 + 9 \cdot (8 - (-8))^2=\textcolor{white}{2312}$$return {
["body"] = 6,
["id"] = "l1f8NI_0615_2207",
["obtiznost"] = 0.1128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2312,
["jmenovatel"] = 1 },
["render"] = "\\frac{2312}{1}",
["typ"] = "cislo" },
["tex"] = "2312",
["x"] = 2312 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (8 - (-8))^2",
["typ"] = "krat" },
["render"] = "8 + 9 \\cdot (8 - (-8))^2",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.02, bodu=5, $$(7 + (5 + (-7))^4) \cdot 6=\textcolor{white}{138}$$return {
["body"] = 5,
["id"] = "MeFSq1_0615_2207",
["obtiznost"] = 0.0268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 138,
["jmenovatel"] = 1 },
["render"] = "\\frac{138}{1}",
["typ"] = "cislo" },
["tex"] = "138",
["tex_float"] = "138",
["x"] = 138 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(5 + (-7))^4",
["typ"] = "mocnina" },
["render"] = "7 + (5 + (-7))^4",
["typ"] = "plus" },
["render"] = "(7 + (5 + (-7))^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 + (5 + (-7))^4) \\cdot 6",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.03, bodu=10, $$\frac{-5}{6 - 9} - 4=\textcolor{white}{-2\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "6jWo3C_0615_2207",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -2.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 3 },
["render"] = "\\frac{-7}{3}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{3}",
["x"] = -2,
["y"] = 1,
["z"] = 3 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-5}{6 - 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6 - 9} - 4",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.04, bodu=5, $$8 - 7 - (-5 - (-7))=\textcolor{white}{-1}$$return {
["body"] = 5,
["id"] = "ZscmrL_0615_2207",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["tex_float"] = "-1",
["x"] = -1 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 - (-7)",
["typ"] = "minus" },
["render"] = "(-5 - (-7))",
["typ"] = "zavorka" },
["render"] = "8 - 7 - (-5 - (-7))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.05, bodu=11, $$7 + \frac{7}{(8 - 7)^4}=\textcolor{white}{14}$$return {
["body"] = 11,
["id"] = "cuQ7Qw_0615_2207",
["obtiznost"] = 0.0508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 7)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(8 - 7)^4}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{7}{(8 - 7)^4}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.06, bodu=11, $$7 - \frac{(8 - 5)^3}{4}=\textcolor{white}{0{,}25}$$return {
["body"] = 11,
["id"] = "E8bMJz_0615_2207",
["obtiznost"] = 0.0712,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{1}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(8 - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - 5)^3}{4}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{(8 - 5)^3}{4}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.07, bodu=11, $$-10 - \frac{11}{(-7 + 6)^4}=\textcolor{white}{-21}$$return {
["body"] = 11,
["id"] = "R3aHgN_0615_2207",
["obtiznost"] = 0.0708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "\\frac{-21}{1}",
["typ"] = "cislo" },
["tex"] = "-21",
["tex_float"] = "-21",
["x"] = -21 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 6)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(-7 + 6)^4}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{11}{(-7 + 6)^4}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.08, bodu=13, $$(\frac{9 \cdot -9}{-9})^2=\textcolor{white}{81}$$return {
["body"] = 13,
["id"] = "ImgkYd_0615_2207",
["obtiznost"] = 0.1128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["tex_float"] = "81",
["x"] = 81 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.08",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -9}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9 \\cdot -9}{-9})^2",
["typ"] = "mocnina" } }
seed: M2fpk45Q119b1FcJzV9f_0.09, bodu=13, $$(\frac{-6}{9 - (9 + 9)})^3=\textcolor{white}{\frac{8}{27}}$$return {
["body"] = 13,
["id"] = "X8E8es_0615_2207",
["obtiznost"] = 0.104,
["reseni"] = {
["float"] = 0.2962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 27 },
["render"] = "\\frac{8}{27}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{27}",
["y"] = 8,
["z"] = 27 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.09",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "(9 + 9)",
["typ"] = "zavorka" },
["render"] = "9 - (9 + 9)",
["typ"] = "minus" },
["render"] = "\\frac{-6}{9 - (9 + 9)}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{9 - (9 + 9)})^3",
["typ"] = "mocnina" } }
seed: M2fpk45Q119b1FcJzV9f_0.1, bodu=6, $$10 - 8 \cdot 6 + (-10)=\textcolor{white}{-48}$$return {
["body"] = 6,
["id"] = "BAgd8u_0615_2207",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["tex_float"] = "-48",
["x"] = -48 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "10 - 8 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - 8 \\cdot 6 + (-10)",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.11, bodu=15, $$(\frac{9}{6})^4 + (-5) + 9=\textcolor{white}{9\frac{1}{16}}$$return {
["body"] = 15,
["id"] = "2Xf2VR_0615_2207",
["obtiznost"] = 0.1488,
["reseni"] = {
["float"] = 9.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 145,
["jmenovatel"] = 16 },
["render"] = "\\frac{145}{16}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{16}",
["x"] = 9,
["y"] = 1,
["z"] = 16 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9}{6})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{6})^4 + (-5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{6})^4 + (-5) + 9",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.12, bodu=38, $$3 - 6 + (\frac{9}{5})^3=\textcolor{white}{2{,}832}$$return {
["body"] = 38,
["id"] = "gkKVJN_0615_2207",
["obtiznost"] = 0.4616,
["reseni"] = {
["float"] = 2.832,
["objekt"] = {
["hodnota"] = {
["citatel"] = 354,
["jmenovatel"] = 125 },
["render"] = "\\frac{354}{125}",
["typ"] = "cislo" },
["tex"] = "2\\frac{104}{125}",
["tex_float"] = "2{,}832",
["x"] = 2,
["y"] = 104,
["z"] = 125 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.12",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{5})^3",
["typ"] = "mocnina" },
["render"] = "3 - 6 + (\\frac{9}{5})^3",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.13, bodu=8, $$4 \cdot (-6 \cdot 2)^2=\textcolor{white}{576}$$return {
["body"] = 8,
["id"] = "aBVnQa_0615_2207",
["obtiznost"] = 0.188,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 1 },
["render"] = "\\frac{576}{1}",
["typ"] = "cislo" },
["tex"] = "576",
["tex_float"] = "576",
["x"] = 576 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-6 \\cdot 2)^2",
["typ"] = "mocnina" },
["render"] = "4 \\cdot (-6 \\cdot 2)^2",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.14, bodu=14, $$\frac{8}{9} + 5 - 10=\textcolor{white}{-4\frac{1}{9}}$$return {
["body"] = 14,
["id"] = "8wOpMw_0615_2207",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -4.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 9 },
["render"] = "\\frac{-37}{9}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{9}",
["x"] = -4,
["y"] = 1,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9} + 5 - 10",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.15, bodu=15, $$\frac{8 + (7 - 11)^2}{2 + 11}=\textcolor{white}{1\frac{11}{13}}$$return {
["body"] = 15,
["id"] = "nvSqDG_0615_2207",
["obtiznost"] = 0.1568,
["reseni"] = {
["float"] = 1.8461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 13 },
["render"] = "\\frac{24}{13}",
["typ"] = "cislo" },
["tex"] = "1\\frac{11}{13}",
["x"] = 1,
["y"] = 11,
["z"] = 13 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 11)^2",
["typ"] = "mocnina" },
["render"] = "8 + (7 - 11)^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2 + 11",
["typ"] = "plus" },
["render"] = "\\frac{8 + (7 - 11)^2}{2 + 11}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.16, bodu=15, $$12 + \frac{4 + 7}{9}=\textcolor{white}{13\frac{2}{9}}$$return {
["body"] = 15,
["id"] = "VHHvnn_0615_2207",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 13.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119,
["jmenovatel"] = 9 },
["render"] = "\\frac{119}{9}",
["typ"] = "cislo" },
["tex"] = "13\\frac{2}{9}",
["x"] = 13,
["y"] = 2,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4 + 7}{9}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{4 + 7}{9}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.17, bodu=30, $$(9 + 4 + 7 - 3\frac{4}{5}) \cdot -7=\textcolor{white}{-113{,}4}$$return {
["body"] = 30,
["id"] = "jHrYEj_0615_2207",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -113.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 5 },
["render"] = "\\frac{-567}{5}",
["typ"] = "cislo" },
["tex"] = "-113\\frac{2}{5}",
["tex_float"] = "-113{,}4",
["x"] = -113,
["y"] = 2,
["z"] = 5 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.17",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["render"] = "9 + 4 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "9 + 4 + 7 - 3\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "(9 + 4 + 7 - 3\\frac{4}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(9 + 4 + 7 - 3\\frac{4}{5}) \\cdot -7",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.18, bodu=16, $$\frac{\frac{8}{4}}{-8 - 13}=\textcolor{white}{-\frac{2}{21}}$$return {
["body"] = 16,
["id"] = "kRqGmG_0615_2207",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.095238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 21 },
["render"] = "\\frac{2}{-21}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{21}",
["y"] = -2,
["z"] = 21 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 - 13",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{8}{4}}{-8 - 13}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.19, bodu=31, $$\frac{3\frac{1}{4} \cdot 10 + 7}{-5}=\textcolor{white}{-7{,}9}$$return {
["body"] = 31,
["id"] = "vwN9Ah_0615_2207",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -7.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -79,
["jmenovatel"] = 10 },
["render"] = "\\frac{79}{-10}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{9}{10}",
["tex_float"] = "-7{,}9",
["x"] = -7,
["y"] = 9,
["z"] = 10 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 10 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4} \\cdot 10 + 7}{-5}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.2, bodu=9, $$(9 - 8)^3 - ((9 - 6)^2 - 10)=\textcolor{white}{2}$$return {
["body"] = 9,
["id"] = "c8hkPV_0615_2207",
["obtiznost"] = 0.2048,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{1}",
["typ"] = "cislo" },
["tex"] = "2",
["x"] = 2 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(9 - 6)^2 - 10",
["typ"] = "minus" },
["render"] = "((9 - 6)^2 - 10)",
["typ"] = "zavorka" },
["render"] = "(9 - 8)^3 - ((9 - 6)^2 - 10)",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.21, bodu=18, $$3 - (\frac{9 + 9}{7 + 11})^4=\textcolor{white}{2}$$return {
["body"] = 18,
["id"] = "fLmlnm_0615_2207",
["obtiznost"] = 0.2108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{1}",
["typ"] = "cislo" },
["tex"] = "2",
["tex_float"] = "2",
["x"] = 2 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 + 11",
["typ"] = "plus" },
["render"] = "\\frac{9 + 9}{7 + 11}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9 + 9}{7 + 11})^4",
["typ"] = "mocnina" },
["render"] = "3 - (\\frac{9 + 9}{7 + 11})^4",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.22, bodu=19, $$\frac{5}{-6 \cdot 6 + 6 + 6}=\textcolor{white}{-\frac{5}{24}}$$return {
["body"] = 19,
["id"] = "juuIji_0615_2207",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = -0.20833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 24 },
["render"] = "\\frac{5}{-24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{24}",
["y"] = -5,
["z"] = 24 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "-6 \\cdot 6 + 6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{5}{-6 \\cdot 6 + 6 + 6}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.23, bodu=19, $$\frac{8}{4} - 7 \cdot -9=\textcolor{white}{65}$$return {
["body"] = 19,
["id"] = "ntT3dr_0615_2207",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 1 },
["render"] = "\\frac{65}{1}",
["typ"] = "cislo" },
["tex"] = "65",
["tex_float"] = "65",
["x"] = 65 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{8}{4} - 7 \\cdot -9",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.24, bodu=20, $$(\frac{13}{5} - 11) \cdot 4=\textcolor{white}{-33{,}6}$$return {
["body"] = 20,
["id"] = "hOebpx_0615_2207",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -33.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -168,
["jmenovatel"] = 5 },
["render"] = "\\frac{-168}{5}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{3}{5}",
["tex_float"] = "-33{,}6",
["x"] = -33,
["y"] = 3,
["z"] = 5 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.24",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{5} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{13}{5} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{5} - 11) \\cdot 4",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.25, bodu=37, $$\frac{12}{-8 + 2\frac{5}{10} - 4} + (-14)=\textcolor{white}{-15\frac{5}{19}}$$return {
["body"] = 37,
["id"] = "LExyeI_0615_2207",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -15.263157894737,
["objekt"] = {
["hodnota"] = {
["citatel"] = -290,
["jmenovatel"] = 19 },
["render"] = "\\frac{-290}{19}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{5}{19}",
["x"] = -15,
["y"] = 5,
["z"] = 19 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 2\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 + 2\\frac{5}{10} - 4",
["typ"] = "minus" },
["render"] = "\\frac{12}{-8 + 2\\frac{5}{10} - 4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-8 + 2\\frac{5}{10} - 4} + (-14)",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.26, bodu=58, $$\frac{3}{\frac{4\frac{2}{3}}{8 + 4\frac{2}{6}}}=\textcolor{white}{7\frac{13}{14}}$$return {
["body"] = 58,
["id"] = "xz5AAg_0615_2207",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 7.9285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 111,
["jmenovatel"] = 14 },
["render"] = "\\frac{111}{14}",
["typ"] = "cislo" },
["tex"] = "7\\frac{13}{14}",
["x"] = 7,
["y"] = 13,
["z"] = 14 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{3}}{8 + 4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3}{\\frac{4\\frac{2}{3}}{8 + 4\\frac{2}{6}}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.27, bodu=38, $$(5 - (3 + 2\frac{4}{9})) \cdot (8 - (-11))=\textcolor{white}{-8\frac{4}{9}}$$return {
["body"] = 38,
["id"] = "V85QG5_0615_2207",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -8.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 9 },
["render"] = "\\frac{-76}{9}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{9}",
["x"] = -8,
["y"] = 4,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3 + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(3 + 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "5 - (3 + 2\\frac{4}{9})",
["typ"] = "minus" },
["render"] = "(5 - (3 + 2\\frac{4}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["render"] = "(8 - (-11))",
["typ"] = "zavorka" },
["render"] = "(5 - (3 + 2\\frac{4}{9})) \\cdot (8 - (-11))",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.28, bodu=39, $$2\frac{1}{5} + 13 - 10 + 9 - 9=\textcolor{white}{5{,}2}$$return {
["body"] = 39,
["id"] = "fWAbur_0615_2207",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 5.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 5 },
["render"] = "\\frac{26}{5}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{5}",
["tex_float"] = "5{,}2",
["x"] = 5,
["y"] = 1,
["z"] = 5 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 - 10 + 9",
["typ"] = "plus" },
["render"] = "2\\frac{1}{5} + 13 - 10 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 13 - 10 + 9 - 9",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.29, bodu=40, $$7 + 5 + 6 - 3\frac{1}{3} - 7=\textcolor{white}{7\frac{2}{3}}$$return {
["body"] = 40,
["id"] = "6j3q9F_0615_2207",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 7.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 3 },
["render"] = "\\frac{23}{3}",
["typ"] = "cislo" },
["tex"] = "7\\frac{2}{3}",
["x"] = 7,
["y"] = 2,
["z"] = 3 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{1}{3} - 7",
["typ"] = "minus" },
["render"] = "7 + 5 + 6 - 3\\frac{1}{3} - 7",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.3, bodu=41, $$9 \cdot 1\frac{5}{7} \cdot 8 \cdot -6=\textcolor{white}{-740\frac{4}{7}}$$return {
["body"] = 41,
["id"] = "LEbrRQ_0615_2207",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -740.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5184,
["jmenovatel"] = 7 },
["render"] = "\\frac{-5184}{7}",
["typ"] = "cislo" },
["tex"] = "-740\\frac{4}{7}",
["x"] = -740,
["y"] = 4,
["z"] = 7 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{7} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{7} \\cdot 8 \\cdot -6",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.31, bodu=63, $$-7 - (2\frac{5}{8} - 1\frac{3}{7}) + 10 + 7=\textcolor{white}{8\frac{45}{56}}$$return {
["body"] = 63,
["id"] = "50MmOu_0615_2207",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 8.8035714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 493,
["jmenovatel"] = 56 },
["render"] = "\\frac{493}{56}",
["typ"] = "cislo" },
["tex"] = "8\\frac{45}{56}",
["x"] = 8,
["y"] = 45,
["z"] = 56 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 1\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - 1\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-7 - (2\\frac{5}{8} - 1\\frac{3}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - (2\\frac{5}{8} - 1\\frac{3}{7}) + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - (2\\frac{5}{8} - 1\\frac{3}{7}) + 10 + 7",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.32, bodu=60, $$((3\frac{3}{6} + \frac{9}{12} - 4) \cdot 7)^3=\textcolor{white}{5\frac{23}{64}}$$return {
["body"] = 60,
["id"] = "nsP6yW_0615_2207",
["obtiznost"] = 0.6828,
["reseni"] = {
["float"] = 5.359375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 64 },
["render"] = "\\frac{343}{64}",
["typ"] = "cislo" },
["tex"] = "5\\frac{23}{64}",
["x"] = 5,
["y"] = 23,
["z"] = 64 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.32",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{12} - 4",
["typ"] = "minus" },
["render"] = "3\\frac{3}{6} + \\frac{9}{12} - 4",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{6} + \\frac{9}{12} - 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{6} + \\frac{9}{12} - 4) \\cdot 7",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((3\\frac{3}{6} + \\frac{9}{12} - 4) \\cdot 7)^3",
["typ"] = "mocnina" } }
seed: M2fpk45Q119b1FcJzV9f_0.33, bodu=44, $$\frac{8 + (-8 - 8 \cdot 3\frac{4}{7})}{6}=\textcolor{white}{-4\frac{16}{21}}$$return {
["body"] = 44,
["id"] = "IzU5R9_0615_2207",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -4.7619047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 21 },
["render"] = "\\frac{-200}{42}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{16}{21}",
["x"] = -4,
["y"] = 16,
["z"] = 21 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "-8 - 8 \\cdot 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "8 + (-8 - 8 \\cdot 3\\frac{4}{7})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 + (-8 - 8 \\cdot 3\\frac{4}{7})}{6}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.34, bodu=27, $$3 - (\frac{8}{14} + (-9 + (-3)))=\textcolor{white}{14\frac{3}{7}}$$return {
["body"] = 27,
["id"] = "bERLQ3_0615_2207",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 14.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 7 },
["render"] = "\\frac{101}{7}",
["typ"] = "cislo" },
["tex"] = "14\\frac{3}{7}",
["x"] = 14,
["y"] = 3,
["z"] = 7 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-9 + (-3)",
["typ"] = "plus" },
["render"] = "\\frac{8}{14} + (-9 + (-3))",
["typ"] = "plus" },
["render"] = "(\\frac{8}{14} + (-9 + (-3)))",
["typ"] = "zavorka" },
["render"] = "3 - (\\frac{8}{14} + (-9 + (-3)))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.35, bodu=63, $$(10 - (-10))^2 \cdot (-14 - 4\frac{5}{9})=\textcolor{white}{-7422\frac{2}{9}}$$return {
["body"] = 63,
["id"] = "hwfjUs_0615_2207",
["obtiznost"] = 0.7104,
["reseni"] = {
["float"] = -7422.2222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -66800,
["jmenovatel"] = 9 },
["render"] = "\\frac{-66800}{9}",
["typ"] = "cislo" },
["tex"] = "-7422\\frac{2}{9}",
["x"] = -7422,
["y"] = 2,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.35",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(-14 - 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "(10 - (-10))^2 \\cdot (-14 - 4\\frac{5}{9})",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.36, bodu=14, $$6 \cdot (-12 + (-10 + 9 \cdot 6))=\textcolor{white}{192}$$return {
["body"] = 14,
["id"] = "RTpq3E_0615_2207",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 192,
["jmenovatel"] = 1 },
["render"] = "\\frac{192}{1}",
["typ"] = "cislo" },
["tex"] = "192",
["tex_float"] = "192",
["x"] = 192 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "-10 + 9 \\cdot 6",
["typ"] = "plus" },
["render"] = "-12 + (-10 + 9 \\cdot 6)",
["typ"] = "plus" },
["render"] = "(-12 + (-10 + 9 \\cdot 6))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (-12 + (-10 + 9 \\cdot 6))",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.37, bodu=48, $$(4 + 4\frac{2}{5} + 7 + 9) \cdot 10=\textcolor{white}{244}$$return {
["body"] = 48,
["id"] = "07UEgB_0615_2207",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 244,
["jmenovatel"] = 1 },
["render"] = "\\frac{1220}{5}",
["typ"] = "cislo" },
["tex"] = "244",
["tex_float"] = "244",
["x"] = 244 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.37",
["zadani"] = {
["c1"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["render"] = "4 + 4\\frac{2}{5} + 7 + 9",
["typ"] = "plus" },
["render"] = "(4 + 4\\frac{2}{5} + 7 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(4 + 4\\frac{2}{5} + 7 + 9) \\cdot 10",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.38, bodu=49, $$3\frac{3}{7} \cdot (7 - (-7 + (-12 \cdot 5)))=\textcolor{white}{253\frac{5}{7}}$$return {
["body"] = 49,
["id"] = "4Ytxxh_0615_2207",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 253.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1776,
["jmenovatel"] = 7 },
["render"] = "\\frac{1776}{7}",
["typ"] = "cislo" },
["tex"] = "253\\frac{5}{7}",
["x"] = 253,
["y"] = 5,
["z"] = 7 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 5",
["typ"] = "krat" },
["render"] = "-7 + (-12 \\cdot 5)",
["typ"] = "plus" },
["render"] = "(-7 + (-12 \\cdot 5))",
["typ"] = "zavorka" },
["render"] = "7 - (-7 + (-12 \\cdot 5))",
["typ"] = "minus" },
["render"] = "(7 - (-7 + (-12 \\cdot 5)))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} \\cdot (7 - (-7 + (-12 \\cdot 5)))",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.39, bodu=73, $$7 \cdot (\frac{1\frac{3}{7}}{12} - (-4) + 2\frac{3}{5})=\textcolor{white}{47\frac{1}{30}}$$return {
["body"] = 73,
["id"] = "x2zSdG_0615_2207",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 47.033333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1411,
["jmenovatel"] = 30 },
["render"] = "\\frac{9877}{210}",
["typ"] = "cislo" },
["tex"] = "47\\frac{1}{30}",
["x"] = 47,
["y"] = 1,
["z"] = 30 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{12} - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{12} - (-4) + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{3}{7}}{12} - (-4) + 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (\\frac{1\\frac{3}{7}}{12} - (-4) + 2\\frac{3}{5})",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.4, bodu=54, $$-5 \cdot (10 - 7 - 7)^3 - 2\frac{4}{8}=\textcolor{white}{317{,}5}$$return {
["body"] = 54,
["id"] = "HKpPAu_0615_2207",
["obtiznost"] = 0.626,
["reseni"] = {
["float"] = 317.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 635,
["jmenovatel"] = 2 },
["render"] = "\\frac{635}{2}",
["typ"] = "cislo" },
["tex"] = "317\\frac{1}{2}",
["tex_float"] = "317{,}5",
["x"] = 317,
["y"] = 1,
["z"] = 2 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 7 - 7)^3",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (10 - 7 - 7)^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot (10 - 7 - 7)^3 - 2\\frac{4}{8}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.41, bodu=58, $$-10 \cdot (\frac{1\frac{3}{5}}{8})^3 \cdot 16=\textcolor{white}{-1{,}28}$$return {
["body"] = 58,
["id"] = "8areG1_0615_2207",
["obtiznost"] = 0.6604,
["reseni"] = {
["float"] = -1.28,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 25 },
["render"] = "\\frac{-160}{125}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{25}",
["tex_float"] = "-1{,}28",
["x"] = -1,
["y"] = 7,
["z"] = 25 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{5}}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{3}{5}}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{5}}{8})^3 \\cdot 16",
["typ"] = "krat" },
["render"] = "-10 \\cdot (\\frac{1\\frac{3}{5}}{8})^3 \\cdot 16",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.42, bodu=53, $$-9 + 13 + \frac{9}{4\frac{3}{7}} + (-7 - 10)=\textcolor{white}{-10\frac{30}{31}}$$return {
["body"] = 53,
["id"] = "oDSA0y_0615_2207",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -10.967741935484,
["objekt"] = {
["hodnota"] = {
["citatel"] = -340,
["jmenovatel"] = 31 },
["render"] = "\\frac{-340}{31}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{30}{31}",
["x"] = -10,
["y"] = 30,
["z"] = 31 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-9 + 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "-9 + 13 + \\frac{9}{4\\frac{3}{7}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - 10",
["typ"] = "minus" },
["render"] = "-9 + 13 + \\frac{9}{4\\frac{3}{7}} + (-7 - 10)",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.43, bodu=78, $$-10 + \frac{2\frac{1}{8}}{-10} - 9 - 1\frac{1}{6}=\textcolor{white}{-20\frac{91}{240}}$$return {
["body"] = 78,
["id"] = "2tDQA6_0615_2207",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -20.379166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4891,
["jmenovatel"] = 240 },
["render"] = "\\frac{-9782}{480}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{91}{240}",
["x"] = -20,
["y"] = 91,
["z"] = 240 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{-10} - 9",
["typ"] = "minus" },
["render"] = "-10 + \\frac{2\\frac{1}{8}}{-10} - 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-10 + \\frac{2\\frac{1}{8}}{-10} - 9 - 1\\frac{1}{6}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.44, bodu=90, $$(1\frac{2}{5} \cdot -12 - (-14))^2 \cdot 4\frac{3}{5} - 6=\textcolor{white}{30{,}064}$$return {
["body"] = 90,
["id"] = "A9VO3W_0615_2207",
["obtiznost"] = 0.9284,
["reseni"] = {
["float"] = 30.064,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3758,
["jmenovatel"] = 125 },
["render"] = "\\frac{3758}{125}",
["typ"] = "cislo" },
["tex"] = "30\\frac{8}{125}",
["tex_float"] = "30{,}064",
["x"] = 30,
["y"] = 8,
["z"] = 125 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot -12 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{5} \\cdot -12 - (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{5} \\cdot -12 - (-14))^2 \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{5} \\cdot -12 - (-14))^2 \\cdot 4\\frac{3}{5} - 6",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.45, bodu=57, $$8 \cdot 9 - \frac{1\frac{3}{10} + 5}{8}=\textcolor{white}{71\frac{17}{80}}$$return {
["body"] = 57,
["id"] = "L5EDOj_0615_2207",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 71.2125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5697,
["jmenovatel"] = 80 },
["render"] = "\\frac{5697}{80}",
["typ"] = "cislo" },
["tex"] = "71\\frac{17}{80}",
["x"] = 71,
["y"] = 17,
["z"] = 80 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.45",
["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"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10} + 5}{8}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot 9 - \\frac{1\\frac{3}{10} + 5}{8}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.46, bodu=81, $$12 \cdot \frac{4\frac{2}{9} + 4}{-10} + 2\frac{5}{9}=\textcolor{white}{-7\frac{14}{45}}$$return {
["body"] = 81,
["id"] = "oOxRYu_0615_2207",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -7.3111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -329,
["jmenovatel"] = 45 },
["render"] = "\\frac{-987}{135}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{14}{45}",
["x"] = -7,
["y"] = 14,
["z"] = 45 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9} + 4}{-10}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{4\\frac{2}{9} + 4}{-10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot \\frac{4\\frac{2}{9} + 4}{-10} + 2\\frac{5}{9}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.47, bodu=59, $$-11 + \frac{6}{13 \cdot (1\frac{2}{7} + 12)}=\textcolor{white}{-10\frac{389}{403}}$$return {
["body"] = 59,
["id"] = "2c1mo9_0615_2207",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -10.965260545906,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4419,
["jmenovatel"] = 403 },
["render"] = "\\frac{-4419}{403}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{389}{403}",
["x"] = -10,
["y"] = 389,
["z"] = 403 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 12",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + 12)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (1\\frac{2}{7} + 12)",
["typ"] = "krat" },
["render"] = "\\frac{6}{13 \\cdot (1\\frac{2}{7} + 12)}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{6}{13 \\cdot (1\\frac{2}{7} + 12)}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.48, bodu=84, $$-11 - (\frac{12}{\frac{10}{1\frac{2}{8}}} + 4\frac{1}{4})=\textcolor{white}{-16{,}75}$$return {
["body"] = 84,
["id"] = "dnNbSR_0615_2207",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -16.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 4 },
["render"] = "\\frac{-67}{4}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{3}{4}",
["tex_float"] = "-16{,}75",
["x"] = -16,
["y"] = 3,
["z"] = 4 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{10}{1\\frac{2}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{\\frac{10}{1\\frac{2}{8}}} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(\\frac{12}{\\frac{10}{1\\frac{2}{8}}} + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "-11 - (\\frac{12}{\\frac{10}{1\\frac{2}{8}}} + 4\\frac{1}{4})",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.49, bodu=85, $$\frac{2\frac{5}{11}}{\frac{(11 + (-9))^2 \cdot 4\frac{1}{6}}{-8}}=\textcolor{white}{-1\frac{49}{275}}$$return {
["body"] = 85,
["id"] = "MF027E_0615_2207",
["obtiznost"] = 0.892,
["reseni"] = {
["float"] = -1.1781818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -324,
["jmenovatel"] = 275 },
["render"] = "\\frac{324}{-275}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{49}{275}",
["x"] = -1,
["y"] = 49,
["z"] = 275 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(11 + (-9))^2 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(11 + (-9))^2 \\cdot 4\\frac{1}{6}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{11}}{\\frac{(11 + (-9))^2 \\cdot 4\\frac{1}{6}}{-8}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.5, bodu=60, $$\frac{(-15 - 6)^2 - (-7)}{(\frac{4}{12})^2}=\textcolor{white}{4032}$$return {
["body"] = 60,
["id"] = "r5ghDU_0615_2207",
["obtiznost"] = 0.6808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4032,
["jmenovatel"] = 1 },
["render"] = "\\frac{4032}{1}",
["typ"] = "cislo" },
["tex"] = "4032",
["x"] = 4032 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-15 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-15 - 6)^2 - (-7)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{12})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(-15 - 6)^2 - (-7)}{(\\frac{4}{12})^2}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.51, bodu=63, $$\frac{6}{4\frac{2}{8}} + 4 + 17 + 13 + (-14)=\textcolor{white}{21\frac{7}{17}}$$return {
["body"] = 63,
["id"] = "voovNY_0615_2207",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 21.411764705882,
["objekt"] = {
["hodnota"] = {
["citatel"] = 364,
["jmenovatel"] = 17 },
["render"] = "\\frac{364}{17}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{17}",
["x"] = 21,
["y"] = 7,
["z"] = 17 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "17 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "17 + 13 + (-14)",
["typ"] = "plus" },
["render"] = "4 + 17 + 13 + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{6}{4\\frac{2}{8}} + 4 + 17 + 13 + (-14)",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.52, bodu=64, $$\frac{-7}{(2\frac{5}{10} - (-11) - 13) \cdot 4}=\textcolor{white}{-3{,}5}$$return {
["body"] = 64,
["id"] = "biezMa_0615_2207",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 2 },
["render"] = "\\frac{-7}{2}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{2}",
["tex_float"] = "-3{,}5",
["x"] = -3,
["y"] = 1,
["z"] = 2 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - (-11) - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - (-11) - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{10} - (-11) - 13) \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{-7}{(2\\frac{5}{10} - (-11) - 13) \\cdot 4}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.53, bodu=66, $$15 - (1\frac{3}{6} - (-9)) + 10 \cdot -6=\textcolor{white}{-55{,}5}$$return {
["body"] = 66,
["id"] = "k5eQT9_0615_2207",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -55.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -111,
["jmenovatel"] = 2 },
["render"] = "\\frac{-111}{2}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{1}{2}",
["tex_float"] = "-55{,}5",
["x"] = -55,
["y"] = 1,
["z"] = 2 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - (-9)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} - (-9))",
["typ"] = "zavorka" },
["render"] = "15 - (1\\frac{3}{6} - (-9))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6",
["typ"] = "krat" },
["render"] = "15 - (1\\frac{3}{6} - (-9)) + 10 \\cdot -6",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.54, bodu=45, $$\frac{8}{13} \cdot 10 \cdot -17=\textcolor{white}{-104\frac{8}{13}}$$return {
["body"] = 45,
["id"] = "HwBwXp_0615_2207",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -104.61538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1360,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1360}{13}",
["typ"] = "cislo" },
["tex"] = "-104\\frac{8}{13}",
["x"] = -104,
["y"] = 8,
["z"] = 13 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.54",
["zadani"] = {
["c1"] = {
["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"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{13} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{8}{13} \\cdot 10 \\cdot -17",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.55, bodu=142, $$-10 - ((-4 - 4\frac{2}{6})^2 - (-8 - (-17))^3)=\textcolor{white}{649\frac{5}{9}}$$return {
["body"] = 142,
["id"] = "9YxKKW_0615_2207",
["obtiznost"] = 1.2956,
["reseni"] = {
["float"] = 649.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5846,
["jmenovatel"] = 9 },
["render"] = "\\frac{5846}{9}",
["typ"] = "cislo" },
["tex"] = "649\\frac{5}{9}",
["x"] = 649,
["y"] = 5,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-4 - 4\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - 4\\frac{2}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-8 - (-17)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-8 - (-17))^3",
["typ"] = "mocnina" },
["render"] = "(-4 - 4\\frac{2}{6})^2 - (-8 - (-17))^3",
["typ"] = "minus" },
["render"] = "((-4 - 4\\frac{2}{6})^2 - (-8 - (-17))^3)",
["typ"] = "zavorka" },
["render"] = "-10 - ((-4 - 4\\frac{2}{6})^2 - (-8 - (-17))^3)",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.56, bodu=69, $$17 + 1\frac{3}{8} \cdot -16 \cdot 12 + (-13)=\textcolor{white}{-260}$$return {
["body"] = 69,
["id"] = "hMSbju_0615_2207",
["obtiznost"] = 0.76,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -260,
["jmenovatel"] = 1 },
["render"] = "\\frac{-260}{1}",
["typ"] = "cislo" },
["tex"] = "-260",
["x"] = -260 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{3}{8} \\cdot -16 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot -16 \\cdot 12 + (-13)",
["typ"] = "plus" },
["render"] = "17 + 1\\frac{3}{8} \\cdot -16 \\cdot 12 + (-13)",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.57, bodu=154, $$-8 - \frac{-18 + 1\frac{5}{12} + 3\frac{4}{9} - 4\frac{2}{5}}{1\frac{2}{8}}=\textcolor{white}{6\frac{7}{225}}$$return {
["body"] = 154,
["id"] = "Ijcyvn_0615_2207",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 6.0311111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1357,
["jmenovatel"] = 225 },
["render"] = "\\frac{1357}{225}",
["typ"] = "cislo" },
["tex"] = "6\\frac{7}{225}",
["x"] = 6,
["y"] = 7,
["z"] = 225 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "1\\frac{5}{12} + 3\\frac{4}{9} - 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "-18 + 1\\frac{5}{12} + 3\\frac{4}{9} - 4\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 + 1\\frac{5}{12} + 3\\frac{4}{9} - 4\\frac{2}{5}}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{-18 + 1\\frac{5}{12} + 3\\frac{4}{9} - 4\\frac{2}{5}}{1\\frac{2}{8}}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.58, bodu=97, $$\frac{-11}{11} \cdot \frac{4\frac{3}{7}}{3\frac{2}{8}}=\textcolor{white}{-1\frac{33}{91}}$$return {
["body"] = 97,
["id"] = "WS5tll_0615_2207",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -1.3626373626374,
["objekt"] = {
["hodnota"] = {
["citatel"] = -124,
["jmenovatel"] = 91 },
["render"] = "\\frac{-124}{91}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{33}{91}",
["x"] = -1,
["y"] = 33,
["z"] = 91 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{11} \\cdot \\frac{4\\frac{3}{7}}{3\\frac{2}{8}}",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.59, bodu=85, $$\frac{(\frac{-12}{-8})^4}{(\frac{8}{9})^2 - 3\frac{5}{9}}=\textcolor{white}{-1\frac{2977}{3584}}$$return {
["body"] = 85,
["id"] = "b8Q50R_0615_2207",
["obtiznost"] = 0.8868,
["reseni"] = {
["float"] = -1.8306361607143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6561,
["jmenovatel"] = 3584 },
["render"] = "\\frac{6561}{-3584}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2977}{3584}",
["x"] = -1,
["y"] = 2977,
["z"] = 3584 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-12}{-8})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{9})^2 - 3\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{-12}{-8})^4}{(\\frac{8}{9})^2 - 3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.6, bodu=51, $$\frac{-11}{\frac{-3}{\frac{9}{7} - 3}}=\textcolor{white}{-6\frac{2}{7}}$$return {
["body"] = 51,
["id"] = "uG24eX_0615_2207",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -6.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 7 },
["render"] = "\\frac{-44}{7}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{2}{7}",
["x"] = -6,
["y"] = 2,
["z"] = 7 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7} - 3",
["typ"] = "minus" },
["render"] = "\\frac{-3}{\\frac{9}{7} - 3}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{-3}{\\frac{9}{7} - 3}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.61, bodu=55, $$\frac{-19 + 9 - ((11 - 15)^3 + 6)}{16}=\textcolor{white}{3}$$return {
["body"] = 55,
["id"] = "MWVvlP_0615_2207",
["obtiznost"] = 0.636,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{48}{16}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-19 + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - 15",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(11 - 15)^3 + 6",
["typ"] = "plus" },
["render"] = "((11 - 15)^3 + 6)",
["typ"] = "zavorka" },
["render"] = "-19 + 9 - ((11 - 15)^3 + 6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-19 + 9 - ((11 - 15)^3 + 6)}{16}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.62, bodu=102, $$15 + 5 - (-7 + 2\frac{5}{8}) - (2 + (-6 \cdot 4\frac{5}{10}))=\textcolor{white}{49{,}375}$$return {
["body"] = 102,
["id"] = "ho06fe_0615_2207",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 49.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 395,
["jmenovatel"] = 8 },
["render"] = "\\frac{395}{8}",
["typ"] = "cislo" },
["tex"] = "49\\frac{3}{8}",
["tex_float"] = "49{,}375",
["x"] = 49,
["y"] = 3,
["z"] = 8 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "15 + 5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-7 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(-7 + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "15 + 5 - (-7 + 2\\frac{5}{8})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "2 + (-6 \\cdot 4\\frac{5}{10})",
["typ"] = "plus" },
["render"] = "(2 + (-6 \\cdot 4\\frac{5}{10}))",
["typ"] = "zavorka" },
["render"] = "15 + 5 - (-7 + 2\\frac{5}{8}) - (2 + (-6 \\cdot 4\\frac{5}{10}))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.63, bodu=79, $$\frac{9 \cdot (9 + (-14))^2}{-10 \cdot 4\frac{4}{8}}=\textcolor{white}{-5}$$return {
["body"] = 79,
["id"] = "m4z1ch_0615_2207",
["obtiznost"] = 0.8404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{225}{-45}",
["typ"] = "cislo" },
["tex"] = "-5",
["tex_float"] = "-5",
["x"] = -5 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "9 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (-14))^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (9 + (-14))^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{9 \\cdot (9 + (-14))^2}{-10 \\cdot 4\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.64, bodu=79, $$11 - (3\frac{1}{10} - (9 \cdot 14 \cdot -7 + (-10)))=\textcolor{white}{-884{,}1}$$return {
["body"] = 79,
["id"] = "VckGZ9_0615_2207",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -884.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8841,
["jmenovatel"] = 10 },
["render"] = "\\frac{-8841}{10}",
["typ"] = "cislo" },
["tex"] = "-884\\frac{1}{10}",
["tex_float"] = "-884{,}1",
["x"] = -884,
["y"] = 1,
["z"] = 10 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "9 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 14 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 14 \\cdot -7 + (-10)",
["typ"] = "plus" },
["render"] = "(9 \\cdot 14 \\cdot -7 + (-10))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{10} - (9 \\cdot 14 \\cdot -7 + (-10))",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{10} - (9 \\cdot 14 \\cdot -7 + (-10)))",
["typ"] = "zavorka" },
["render"] = "11 - (3\\frac{1}{10} - (9 \\cdot 14 \\cdot -7 + (-10)))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.65, bodu=167, $$4\frac{5}{10} + 2\frac{2}{7} - (6 \cdot (4\frac{1}{4} + 8 + 4\frac{5}{9}) + (-7))=\textcolor{white}{-87\frac{1}{21}}$$return {
["body"] = 167,
["id"] = "eb2yd8_0615_2207",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -87.047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1828,
["jmenovatel"] = 21 },
["render"] = "\\frac{-7312}{84}",
["typ"] = "cislo" },
["tex"] = "-87\\frac{1}{21}",
["x"] = -87,
["y"] = 1,
["z"] = 21 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 2\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "4\\frac{1}{4} + 8 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + 8 + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (4\\frac{1}{4} + 8 + 4\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot (4\\frac{1}{4} + 8 + 4\\frac{5}{9}) + (-7)",
["typ"] = "plus" },
["render"] = "(6 \\cdot (4\\frac{1}{4} + 8 + 4\\frac{5}{9}) + (-7))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} + 2\\frac{2}{7} - (6 \\cdot (4\\frac{1}{4} + 8 + 4\\frac{5}{9}) + (-7))",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.66, bodu=108, $$\frac{-15}{(\frac{3\frac{1}{3} - 1\frac{2}{6} \cdot -11}{-18})^4}=\textcolor{white}{-15}$$return {
["body"] = 108,
["id"] = "aZlFJ0_0615_2207",
["obtiznost"] = 1.0608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["x"] = -15 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot -11",
["typ"] = "krat" },
["render"] = "3\\frac{1}{3} - 1\\frac{2}{6} \\cdot -11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3} - 1\\frac{2}{6} \\cdot -11}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{3\\frac{1}{3} - 1\\frac{2}{6} \\cdot -11}{-18})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-15}{(\\frac{3\\frac{1}{3} - 1\\frac{2}{6} \\cdot -11}{-18})^4}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.67, bodu=87, $$(8 \cdot 15 - (10 + (-13))^4) \cdot 1\frac{1}{6} \cdot 12=\textcolor{white}{546}$$return {
["body"] = 87,
["id"] = "8gLlkR_0615_2207",
["obtiznost"] = 0.9028,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 546,
["jmenovatel"] = 1 },
["render"] = "\\frac{546}{1}",
["typ"] = "cislo" },
["tex"] = "546",
["x"] = 546 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "10 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-13))^4",
["typ"] = "mocnina" },
["render"] = "8 \\cdot 15 - (10 + (-13))^4",
["typ"] = "minus" },
["render"] = "(8 \\cdot 15 - (10 + (-13))^4)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 12",
["typ"] = "krat" },
["render"] = "(8 \\cdot 15 - (10 + (-13))^4) \\cdot 1\\frac{1}{6} \\cdot 12",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.68, bodu=84, $$-11 \cdot (-14 - 3\frac{3}{12} - (11 - \frac{11}{-16}))=\textcolor{white}{318\frac{5}{16}}$$return {
["body"] = 84,
["id"] = "4FbFgn_0615_2207",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 318.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5093,
["jmenovatel"] = 16 },
["render"] = "\\frac{5093}{16}",
["typ"] = "cislo" },
["tex"] = "318\\frac{5}{16}",
["x"] = 318,
["y"] = 5,
["z"] = 16 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-14 - 3\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-16}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{11}{-16}",
["typ"] = "minus" },
["render"] = "(11 - \\frac{11}{-16})",
["typ"] = "zavorka" },
["render"] = "-14 - 3\\frac{3}{12} - (11 - \\frac{11}{-16})",
["typ"] = "minus" },
["render"] = "(-14 - 3\\frac{3}{12} - (11 - \\frac{11}{-16}))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (-14 - 3\\frac{3}{12} - (11 - \\frac{11}{-16}))",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.69, bodu=85, $$\frac{13}{-11} + (-12) + 18 \cdot 4\frac{4}{9} + 8=\textcolor{white}{74\frac{9}{11}}$$return {
["body"] = 85,
["id"] = "ikT5GH_0615_2207",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 74.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 823,
["jmenovatel"] = 11 },
["render"] = "\\frac{823}{11}",
["typ"] = "cislo" },
["tex"] = "74\\frac{9}{11}",
["x"] = 74,
["y"] = 9,
["z"] = 11 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11} + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "18 \\cdot 4\\frac{4}{9} + 8",
["typ"] = "plus" },
["render"] = "\\frac{13}{-11} + (-12) + 18 \\cdot 4\\frac{4}{9} + 8",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.7, bodu=143, $$1\frac{1}{5} - (-8 - \frac{4\frac{4}{6}}{(11 - 11)^3 + 4\frac{1}{6}})=\textcolor{white}{10{,}32}$$return {
["body"] = 143,
["id"] = "39MAes_0615_2207",
["obtiznost"] = 1.3004,
["reseni"] = {
["float"] = 10.32,
["objekt"] = {
["hodnota"] = {
["citatel"] = 258,
["jmenovatel"] = 25 },
["render"] = "\\frac{1290}{125}",
["typ"] = "cislo" },
["tex"] = "10\\frac{8}{25}",
["tex_float"] = "10{,}32",
["x"] = 10,
["y"] = 8,
["z"] = 25 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(11 - 11)^3 + 4\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{6}}{(11 - 11)^3 + 4\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{4\\frac{4}{6}}{(11 - 11)^3 + 4\\frac{1}{6}}",
["typ"] = "minus" },
["render"] = "(-8 - \\frac{4\\frac{4}{6}}{(11 - 11)^3 + 4\\frac{1}{6}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{5} - (-8 - \\frac{4\\frac{4}{6}}{(11 - 11)^3 + 4\\frac{1}{6}})",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.71, bodu=118, $$(-16 - 12) \cdot ((4\frac{1}{7} - 5)^3 + 15) + 15=\textcolor{white}{-387\frac{18}{49}}$$return {
["body"] = 118,
["id"] = "saaKHI_0615_2207",
["obtiznost"] = 1.1336,
["reseni"] = {
["float"] = -387.36734693878,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18981,
["jmenovatel"] = 49 },
["render"] = "\\frac{-18981}{49}",
["typ"] = "cislo" },
["tex"] = "-387\\frac{18}{49}",
["x"] = -387,
["y"] = 18,
["z"] = 49 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 - 12",
["typ"] = "minus" },
["render"] = "(-16 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{1}{7} - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} - 5)^3 + 15",
["typ"] = "plus" },
["render"] = "((4\\frac{1}{7} - 5)^3 + 15)",
["typ"] = "zavorka" },
["render"] = "(-16 - 12) \\cdot ((4\\frac{1}{7} - 5)^3 + 15)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(-16 - 12) \\cdot ((4\\frac{1}{7} - 5)^3 + 15) + 15",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.72, bodu=94, $$\frac{8 + 3\frac{3}{11} + (-7)}{-18} \cdot (\frac{-8}{18})^2=\textcolor{white}{-\frac{376}{8019}}$$return {
["body"] = 94,
["id"] = "Xq9x8u_0615_2207",
["obtiznost"] = 0.9588,
["reseni"] = {
["float"] = -0.046888639481232,
["objekt"] = {
["hodnota"] = {
["citatel"] = -376,
["jmenovatel"] = 8019 },
["render"] = "\\frac{-752}{16038}",
["typ"] = "cislo" },
["tex"] = "-\\frac{376}{8019}",
["y"] = -376,
["z"] = 8019 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} + (-7)",
["typ"] = "plus" },
["render"] = "8 + 3\\frac{3}{11} + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 3\\frac{3}{11} + (-7)}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{18})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 + 3\\frac{3}{11} + (-7)}{-18} \\cdot (\\frac{-8}{18})^2",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.73, bodu=93, $$((\frac{-10}{-12})^2 + 13 \cdot 9) \cdot 1\frac{3}{10}=\textcolor{white}{153\frac{1}{360}}$$return {
["body"] = 93,
["id"] = "tDciUM_0615_2207",
["obtiznost"] = 0.9544,
["reseni"] = {
["float"] = 153.00277777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55081,
["jmenovatel"] = 360 },
["render"] = "\\frac{55081}{360}",
["typ"] = "cislo" },
["tex"] = "153\\frac{1}{360}",
["x"] = 153,
["y"] = 1,
["z"] = 360 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "(\\frac{-10}{-12})^2 + 13 \\cdot 9",
["typ"] = "plus" },
["render"] = "((\\frac{-10}{-12})^2 + 13 \\cdot 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "((\\frac{-10}{-12})^2 + 13 \\cdot 9) \\cdot 1\\frac{3}{10}",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.74, bodu=149, $$(3\frac{4}{11} - 1\frac{5}{12}) \cdot 10 \cdot \frac{4\frac{5}{11}}{19}=\textcolor{white}{4\frac{7789}{13794}}$$return {
["body"] = 149,
["id"] = "k5K8zq_0615_2207",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 4.5646657967232,
["objekt"] = {
["hodnota"] = {
["citatel"] = 62965,
["jmenovatel"] = 13794 },
["render"] = "\\frac{62965}{13794}",
["typ"] = "cislo" },
["tex"] = "4\\frac{7789}{13794}",
["x"] = 4,
["y"] = 7789,
["z"] = 13794 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{11} - 1\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{11} - 1\\frac{5}{12}) \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{19}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{4}{11} - 1\\frac{5}{12}) \\cdot 10 \\cdot \\frac{4\\frac{5}{11}}{19}",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.75, bodu=120, $$10 \cdot (-9 + \frac{2\frac{2}{8}}{1\frac{4}{9}} \cdot 21)=\textcolor{white}{237\frac{3}{26}}$$return {
["body"] = 120,
["id"] = "KDn40J_0615_2207",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 237.11538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6165,
["jmenovatel"] = 26 },
["render"] = "\\frac{12330}{52}",
["typ"] = "cislo" },
["tex"] = "237\\frac{3}{26}",
["x"] = 237,
["y"] = 3,
["z"] = 26 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{1\\frac{4}{9}} \\cdot 21",
["typ"] = "krat" },
["render"] = "-9 + \\frac{2\\frac{2}{8}}{1\\frac{4}{9}} \\cdot 21",
["typ"] = "plus" },
["render"] = "(-9 + \\frac{2\\frac{2}{8}}{1\\frac{4}{9}} \\cdot 21)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-9 + \\frac{2\\frac{2}{8}}{1\\frac{4}{9}} \\cdot 21)",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.76, bodu=152, $$\frac{2\frac{1}{9}}{1\frac{3}{7}} + (-20 - (-14 + 3\frac{1}{4} - (-15)))=\textcolor{white}{-22\frac{139}{180}}$$return {
["body"] = 152,
["id"] = "hHiBL8_0615_2207",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -22.772222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4099,
["jmenovatel"] = 180 },
["render"] = "\\frac{-8198}{360}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{139}{180}",
["x"] = -22,
["y"] = 139,
["z"] = 180 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{9}}{1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{1}{4} - (-15)",
["typ"] = "minus" },
["render"] = "(-14 + 3\\frac{1}{4} - (-15))",
["typ"] = "zavorka" },
["render"] = "-20 - (-14 + 3\\frac{1}{4} - (-15))",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{9}}{1\\frac{3}{7}} + (-20 - (-14 + 3\\frac{1}{4} - (-15)))",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.77, bodu=123, $$(-8 \cdot (4\frac{2}{7} + 16) \cdot 2\frac{5}{9} - (-10)) \cdot 10=\textcolor{white}{-4047\frac{19}{63}}$$return {
["body"] = 123,
["id"] = "RgfiMT_0615_2207",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -4047.3015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = -254980,
["jmenovatel"] = 63 },
["render"] = "\\frac{-254980}{63}",
["typ"] = "cislo" },
["tex"] = "-4047\\frac{19}{63}",
["x"] = -4047,
["y"] = 19,
["z"] = 63 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 16",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{7} + 16) \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "-8 \\cdot (4\\frac{2}{7} + 16) \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-8 \\cdot (4\\frac{2}{7} + 16) \\cdot 2\\frac{5}{9} - (-10)",
["typ"] = "minus" },
["render"] = "(-8 \\cdot (4\\frac{2}{7} + 16) \\cdot 2\\frac{5}{9} - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-8 \\cdot (4\\frac{2}{7} + 16) \\cdot 2\\frac{5}{9} - (-10)) \\cdot 10",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.78, bodu=188, $$\frac{4\frac{3}{7}}{4\frac{3}{10}} \cdot 16 \cdot \frac{4\frac{2}{10}}{2\frac{1}{5}}=\textcolor{white}{31\frac{217}{473}}$$return {
["body"] = 188,
["id"] = "BFHYAM_0615_2207",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 31.458773784355,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14880,
["jmenovatel"] = 473 },
["render"] = "\\frac{104160}{3311}",
["typ"] = "cislo" },
["tex"] = "31\\frac{217}{473}",
["x"] = 31,
["y"] = 217,
["z"] = 473 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{4\\frac{3}{10}} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10}}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{7}}{4\\frac{3}{10}} \\cdot 16 \\cdot \\frac{4\\frac{2}{10}}{2\\frac{1}{5}}",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.79, bodu=178, $$-14 \cdot ((3 - 4\frac{2}{6})^4 - (\frac{2\frac{5}{11}}{-18})^2)=\textcolor{white}{-43\frac{19339}{19602}}$$return {
["body"] = 178,
["id"] = "hJWrT8_0615_2207",
["obtiznost"] = 1.522,
["reseni"] = {
["float"] = -43.986583001735,
["objekt"] = {
["hodnota"] = {
["citatel"] = -862225,
["jmenovatel"] = 19602 },
["render"] = "\\frac{-1724450}{39204}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{19339}{19602}",
["x"] = -43,
["y"] = 19339,
["z"] = 19602 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3 - 4\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(3 - 4\\frac{2}{6})^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{11}}{-18})^2",
["typ"] = "mocnina" },
["render"] = "(3 - 4\\frac{2}{6})^4 - (\\frac{2\\frac{5}{11}}{-18})^2",
["typ"] = "minus" },
["render"] = "((3 - 4\\frac{2}{6})^4 - (\\frac{2\\frac{5}{11}}{-18})^2)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot ((3 - 4\\frac{2}{6})^4 - (\\frac{2\\frac{5}{11}}{-18})^2)",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.8, bodu=159, $$\frac{4\frac{3}{7} - 1\frac{4}{10}}{\frac{15}{1\frac{4}{12}}} - (-12 + 13)=\textcolor{white}{-\frac{1151}{1575}}$$return {
["body"] = 159,
["id"] = "IGPRLt_0615_2207",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -0.73079365079365,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1151,
["jmenovatel"] = 1575 },
["render"] = "\\frac{-1151}{1575}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1151}{1575}",
["y"] = -1151,
["z"] = 1575 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 1\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{1\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{7} - 1\\frac{4}{10}}{\\frac{15}{1\\frac{4}{12}}}",
["typ"] = "lomeno" },
["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"] = "\\frac{4\\frac{3}{7} - 1\\frac{4}{10}}{\\frac{15}{1\\frac{4}{12}}} - (-12 + 13)",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.81, bodu=130, $$(4\frac{5}{14} + \frac{4\frac{2}{11}}{(\frac{18}{9})^3}) \cdot -3 \cdot -11=\textcolor{white}{161\frac{1}{28}}$$return {
["body"] = 130,
["id"] = "i3NKqO_0615_2207",
["obtiznost"] = 1.2136,
["reseni"] = {
["float"] = 161.03571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4509,
["jmenovatel"] = 28 },
["render"] = "\\frac{49599}{308}",
["typ"] = "cislo" },
["tex"] = "161\\frac{1}{28}",
["x"] = 161,
["y"] = 1,
["z"] = 28 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{18}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{18}{9})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{2}{11}}{(\\frac{18}{9})^3}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{14} + \\frac{4\\frac{2}{11}}{(\\frac{18}{9})^3}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{14} + \\frac{4\\frac{2}{11}}{(\\frac{18}{9})^3})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-3 \\cdot -11",
["typ"] = "krat" },
["render"] = "(4\\frac{5}{14} + \\frac{4\\frac{2}{11}}{(\\frac{18}{9})^3}) \\cdot -3 \\cdot -11",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.82, bodu=230, $$2\frac{5}{10} + 14 - (\frac{3\frac{4}{13}}{4\frac{1}{3}} + 4\frac{4}{9} - (5 + 2\frac{2}{9}))=\textcolor{white}{18\frac{1565}{3042}}$$return {
["body"] = 230,
["id"] = "Vc0k5d_0615_2207",
["obtiznost"] = 1.82,
["reseni"] = {
["float"] = 18.51446416831,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56321,
["jmenovatel"] = 3042 },
["render"] = "\\frac{56321}{3042}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1565}{3042}",
["x"] = 18,
["y"] = 1565,
["z"] = 3042 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{13}}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{13}}{4\\frac{1}{3}} + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(5 + 2\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{4}{13}}{4\\frac{1}{3}} + 4\\frac{4}{9} - (5 + 2\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{4}{13}}{4\\frac{1}{3}} + 4\\frac{4}{9} - (5 + 2\\frac{2}{9}))",
["typ"] = "zavorka" },
["render"] = "14 - (\\frac{3\\frac{4}{13}}{4\\frac{1}{3}} + 4\\frac{4}{9} - (5 + 2\\frac{2}{9}))",
["typ"] = "minus" },
["render"] = "2\\frac{5}{10} + 14 - (\\frac{3\\frac{4}{13}}{4\\frac{1}{3}} + 4\\frac{4}{9} - (5 + 2\\frac{2}{9}))",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.83, bodu=104, $$-10 \cdot \frac{-22}{-22} + \frac{1\frac{3}{10} - (-11)}{14}=\textcolor{white}{-9\frac{17}{140}}$$return {
["body"] = 104,
["id"] = "e9TWGY_0615_2207",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -9.1214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1277,
["jmenovatel"] = 140 },
["render"] = "\\frac{-1277}{140}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{17}{140}",
["x"] = -9,
["y"] = 17,
["z"] = 140 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{-22}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{-22}{-22}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10} - (-11)}{14}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{-22}{-22} + \\frac{1\\frac{3}{10} - (-11)}{14}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.84, bodu=134, $$-12 + \frac{7}{14 + 5} - 2\frac{2}{8} + \frac{-13}{2\frac{4}{12}}=\textcolor{white}{-19\frac{241}{532}}$$return {
["body"] = 134,
["id"] = "GG2ck3_0615_2207",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -19.453007518797,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10349,
["jmenovatel"] = 532 },
["render"] = "\\frac{-10349}{532}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{241}{532}",
["x"] = -19,
["y"] = 241,
["z"] = 532 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "14 + 5",
["typ"] = "plus" },
["render"] = "\\frac{7}{14 + 5}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{7}{14 + 5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-12 + \\frac{7}{14 + 5} - 2\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{7}{14 + 5} - 2\\frac{2}{8} + \\frac{-13}{2\\frac{4}{12}}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.85, bodu=167, $$\frac{\frac{\frac{10}{4\frac{1}{6}} + (-17 + 2\frac{1}{9}) - 4\frac{5}{11}}{-21}}{-6}=\textcolor{white}{-\frac{8387}{62370}}$$return {
["body"] = 167,
["id"] = "m1RORw_0615_2207",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -0.13447170113837,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8387,
["jmenovatel"] = 62370 },
["render"] = "\\frac{8387}{-62370}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8387}{62370}",
["y"] = -8387,
["z"] = 62370 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-17 + 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "\\frac{10}{4\\frac{1}{6}} + (-17 + 2\\frac{1}{9})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{1}{6}} + (-17 + 2\\frac{1}{9}) - 4\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{4\\frac{1}{6}} + (-17 + 2\\frac{1}{9}) - 4\\frac{5}{11}}{-21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{10}{4\\frac{1}{6}} + (-17 + 2\\frac{1}{9}) - 4\\frac{5}{11}}{-21}}{-6}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.86, bodu=238, $$-15 \cdot (2\frac{3}{10} - (2\frac{5}{11} - 2\frac{3}{8})) \cdot (2\frac{2}{10} + 2\frac{1}{7} + (-13))=\textcolor{white}{288\frac{1053}{3080}}$$return {
["body"] = 238,
["id"] = "hwihvj_0615_2207",
["obtiznost"] = 1.86,
["reseni"] = {
["float"] = 288.34188311688,
["objekt"] = {
["hodnota"] = {
["citatel"] = 888093,
["jmenovatel"] = 3080 },
["render"] = "\\frac{888093}{3080}",
["typ"] = "cislo" },
["tex"] = "288\\frac{1053}{3080}",
["x"] = 288,
["y"] = 1053,
["z"] = 3080 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - 2\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{10} - (2\\frac{5}{11} - 2\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - (2\\frac{5}{11} - 2\\frac{3}{8}))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (2\\frac{3}{10} - (2\\frac{5}{11} - 2\\frac{3}{8}))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + (-13)",
["typ"] = "plus" },
["render"] = "2\\frac{2}{10} + 2\\frac{1}{7} + (-13)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{10} + 2\\frac{1}{7} + (-13))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (2\\frac{3}{10} - (2\\frac{5}{11} - 2\\frac{3}{8})) \\cdot (2\\frac{2}{10} + 2\\frac{1}{7} + (-13))",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.87, bodu=109, $$\frac{23 + 15}{\frac{1\frac{4}{10}}{11 \cdot 11} - (-5)}=\textcolor{white}{7\frac{883}{1516}}$$return {
["body"] = 109,
["id"] = "xkjX9X_0615_2207",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 7.5824538258575,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11495,
["jmenovatel"] = 1516 },
["render"] = "\\frac{22990}{3032}",
["typ"] = "cislo" },
["tex"] = "7\\frac{883}{1516}",
["x"] = 7,
["y"] = 883,
["z"] = 1516 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "23 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{10}}{11 \\cdot 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{11 \\cdot 11} - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{23 + 15}{\\frac{1\\frac{4}{10}}{11 \\cdot 11} - (-5)}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.88, bodu=141, $$\frac{1\frac{5}{9}}{(-10 - (-14))^2} + \frac{-9}{2\frac{3}{9} \cdot 11}=\textcolor{white}{-\frac{1405}{5544}}$$return {
["body"] = 141,
["id"] = "6K1z0D_0615_2207",
["obtiznost"] = 1.2868,
["reseni"] = {
["float"] = -0.25342712842713,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1405,
["jmenovatel"] = 5544 },
["render"] = "\\frac{-1405}{5544}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1405}{5544}",
["y"] = -1405,
["z"] = 5544 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-10 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - (-14))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{9}}{(-10 - (-14))^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-9}{2\\frac{3}{9} \\cdot 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{9}}{(-10 - (-14))^2} + \\frac{-9}{2\\frac{3}{9} \\cdot 11}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.89, bodu=207, $$14 - (-10 + \frac{1\frac{4}{13}}{1\frac{3}{12}} - 3\frac{3}{11} \cdot 2\frac{3}{14})=\textcolor{white}{30\frac{1004}{5005}}$$return {
["body"] = 207,
["id"] = "zXykUq_0615_2207",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 30.200599400599,
["objekt"] = {
["hodnota"] = {
["citatel"] = 151154,
["jmenovatel"] = 5005 },
["render"] = "\\frac{151154}{5005}",
["typ"] = "cislo" },
["tex"] = "30\\frac{1004}{5005}",
["x"] = 30,
["y"] = 1004,
["z"] = 5005 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{13}}{1\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 14 },
["render"] = "2\\frac{3}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} \\cdot 2\\frac{3}{14}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{13}}{1\\frac{3}{12}} - 3\\frac{3}{11} \\cdot 2\\frac{3}{14}",
["typ"] = "minus" },
["render"] = "-10 + \\frac{1\\frac{4}{13}}{1\\frac{3}{12}} - 3\\frac{3}{11} \\cdot 2\\frac{3}{14}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{1\\frac{4}{13}}{1\\frac{3}{12}} - 3\\frac{3}{11} \\cdot 2\\frac{3}{14})",
["typ"] = "zavorka" },
["render"] = "14 - (-10 + \\frac{1\\frac{4}{13}}{1\\frac{3}{12}} - 3\\frac{3}{11} \\cdot 2\\frac{3}{14})",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.9, bodu=175, $$\frac{20 - 4\frac{3}{4}}{2\frac{3}{12} - (12 + 15) - (-10)} \cdot 1\frac{4}{11}=\textcolor{white}{-1\frac{266}{649}}$$return {
["body"] = 175,
["id"] = "TgdXMm_0615_2207",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -1.4098613251156,
["objekt"] = {
["hodnota"] = {
["citatel"] = -915,
["jmenovatel"] = 649 },
["render"] = "\\frac{-915}{649}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{266}{649}",
["x"] = -1,
["y"] = 266,
["z"] = 649 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "20 - 4\\frac{3}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 + 15",
["typ"] = "plus" },
["render"] = "(12 + 15)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{12} - (12 + 15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} - (12 + 15) - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{20 - 4\\frac{3}{4}}{2\\frac{3}{12} - (12 + 15) - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 4\\frac{3}{4}}{2\\frac{3}{12} - (12 + 15) - (-10)} \\cdot 1\\frac{4}{11}",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.91, bodu=176, $$3\frac{4}{12} \cdot -18 + \frac{1\frac{1}{6}}{\frac{-16}{12 + 3\frac{2}{12}}}=\textcolor{white}{-61\frac{61}{576}}$$return {
["body"] = 176,
["id"] = "Pvu64N_0615_2207",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -61.105902777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35197,
["jmenovatel"] = 576 },
["render"] = "\\frac{-35197}{576}",
["typ"] = "cislo" },
["tex"] = "-61\\frac{61}{576}",
["x"] = -61,
["y"] = 61,
["z"] = 576 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{2}{12}",
["typ"] = "plus" },
["render"] = "\\frac{-16}{12 + 3\\frac{2}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{1}{6}}{\\frac{-16}{12 + 3\\frac{2}{12}}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{12} \\cdot -18 + \\frac{1\\frac{1}{6}}{\\frac{-16}{12 + 3\\frac{2}{12}}}",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.92, bodu=178, $$15 - 2\frac{5}{12} - (-11) - (2\frac{1}{6} + 3\frac{4}{7}) + (\frac{-14}{14})^2=\textcolor{white}{18\frac{71}{84}}$$return {
["body"] = 178,
["id"] = "Sqw3UJ_0615_2207",
["obtiznost"] = 1.5208,
["reseni"] = {
["float"] = 18.845238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1583,
["jmenovatel"] = 84 },
["render"] = "\\frac{1583}{84}",
["typ"] = "cislo" },
["tex"] = "18\\frac{71}{84}",
["x"] = 18,
["y"] = 71,
["z"] = 84 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{5}{12} - (-11)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "15 - 2\\frac{5}{12} - (-11) - (2\\frac{1}{6} + 3\\frac{4}{7})",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{14})^2",
["typ"] = "mocnina" },
["render"] = "15 - 2\\frac{5}{12} - (-11) - (2\\frac{1}{6} + 3\\frac{4}{7}) + (\\frac{-14}{14})^2",
["typ"] = "plus" } }
seed: M2fpk45Q119b1FcJzV9f_0.93, bodu=214, $$1\frac{2}{8} - (15 - 1\frac{2}{9} \cdot 3\frac{5}{12} - 20) \cdot 4\frac{1}{10}=\textcolor{white}{38\frac{941}{1080}}$$return {
["body"] = 214,
["id"] = "clNVrC_0615_2207",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 38.871296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41981,
["jmenovatel"] = 1080 },
["render"] = "\\frac{167924}{4320}",
["typ"] = "cislo" },
["tex"] = "38\\frac{941}{1080}",
["x"] = 38,
["y"] = 941,
["z"] = 1080 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "15 - 1\\frac{2}{9} \\cdot 3\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "15 - 1\\frac{2}{9} \\cdot 3\\frac{5}{12} - 20",
["typ"] = "minus" },
["render"] = "(15 - 1\\frac{2}{9} \\cdot 3\\frac{5}{12} - 20)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "(15 - 1\\frac{2}{9} \\cdot 3\\frac{5}{12} - 20) \\cdot 4\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} - (15 - 1\\frac{2}{9} \\cdot 3\\frac{5}{12} - 20) \\cdot 4\\frac{1}{10}",
["typ"] = "minus" } }
seed: M2fpk45Q119b1FcJzV9f_0.94, bodu=149, $$\frac{(-17 - (7 - (11 - (-13))))^4}{3\frac{2}{6} \cdot 3\frac{1}{7}}=\textcolor{white}{0}$$return {
["body"] = 149,
["id"] = "hf9547_0615_2207",
["obtiznost"] = 1.3404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{220}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.94",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 - (-13)",
["typ"] = "minus" },
["render"] = "(11 - (-13))",
["typ"] = "zavorka" },
["render"] = "7 - (11 - (-13))",
["typ"] = "minus" },
["render"] = "(7 - (11 - (-13)))",
["typ"] = "zavorka" },
["render"] = "-17 - (7 - (11 - (-13)))",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-17 - (7 - (11 - (-13))))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "\\frac{(-17 - (7 - (11 - (-13))))^4}{3\\frac{2}{6} \\cdot 3\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.95, bodu=151, $$(22 + (-12) + 3\frac{1}{9}) \cdot (19 - \frac{4\frac{2}{2}}{\frac{1\frac{1}{7}}{20}})=\textcolor{white}{-898\frac{1}{9}}$$return {
["body"] = 151,
["id"] = "eqY6w7_0615_2207",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -898.11111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8083,
["jmenovatel"] = 9 },
["render"] = "\\frac{-16166}{18}",
["typ"] = "cislo" },
["tex"] = "-898\\frac{1}{9}",
["x"] = -898,
["y"] = 1,
["z"] = 9 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "22 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "22 + (-12) + 3\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(22 + (-12) + 3\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{20}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{2}}{\\frac{1\\frac{1}{7}}{20}}",
["typ"] = "lomeno" },
["render"] = "19 - \\frac{4\\frac{2}{2}}{\\frac{1\\frac{1}{7}}{20}}",
["typ"] = "minus" },
["render"] = "(19 - \\frac{4\\frac{2}{2}}{\\frac{1\\frac{1}{7}}{20}})",
["typ"] = "zavorka" },
["render"] = "(22 + (-12) + 3\\frac{1}{9}) \\cdot (19 - \\frac{4\\frac{2}{2}}{\\frac{1\\frac{1}{7}}{20}})",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.96, bodu=152, $$(3\frac{3}{11} \cdot -18 - 10) \cdot (19 - (-14) - 4\frac{1}{4})=\textcolor{white}{-1981\frac{3}{22}}$$return {
["body"] = 152,
["id"] = "eYEzYW_0615_2207",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -1981.1363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43585,
["jmenovatel"] = 22 },
["render"] = "\\frac{-87170}{44}",
["typ"] = "cislo" },
["tex"] = "-1981\\frac{3}{22}",
["x"] = -1981,
["y"] = 3,
["z"] = 22 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.96",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} \\cdot -18 - 10",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{11} \\cdot -18 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "19 - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "19 - (-14) - 4\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(19 - (-14) - 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{11} \\cdot -18 - 10) \\cdot (19 - (-14) - 4\\frac{1}{4})",
["typ"] = "krat" } }
seed: M2fpk45Q119b1FcJzV9f_0.97, bodu=154, $$\frac{-9 + (-5 \cdot (16 + (-16))^2)^4 + 1\frac{2}{9} + (-15)}{13 - 3\frac{4}{11}}=\textcolor{white}{-2\frac{347}{954}}$$return {
["body"] = 154,
["id"] = "Y5S5Ro_0615_2207",
["obtiznost"] = 1.3708,
["reseni"] = {
["float"] = -2.3637316561845,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2255,
["jmenovatel"] = 954 },
["render"] = "\\frac{-2255}{954}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{347}{954}",
["x"] = -2,
["y"] = 347,
["z"] = 954 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "16 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(16 + (-16))^2",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (16 + (-16))^2",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(-5 \\cdot (16 + (-16))^2)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-5 \\cdot (16 + (-16))^2)^4 + 1\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-5 \\cdot (16 + (-16))^2)^4 + 1\\frac{2}{9} + (-15)",
["typ"] = "plus" },
["render"] = "-9 + (-5 \\cdot (16 + (-16))^2)^4 + 1\\frac{2}{9} + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "\\frac{-9 + (-5 \\cdot (16 + (-16))^2)^4 + 1\\frac{2}{9} + (-15)}{13 - 3\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.98, bodu=188, $$\frac{(-17 - 1\frac{4}{10}) \cdot 3\frac{4}{9}}{10 - (-17 \cdot 3\frac{1}{10})}=\textcolor{white}{-1\frac{61}{5643}}$$return {
["body"] = 188,
["id"] = "hhC2P6_0615_2207",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -1.0108098529151,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5704,
["jmenovatel"] = 5643 },
["render"] = "\\frac{-28520}{28215}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{61}{5643}",
["x"] = -1,
["y"] = 61,
["z"] = 5643 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-17 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(-17 - 1\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(-17 - 1\\frac{4}{10}) \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 3\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "10 - (-17 \\cdot 3\\frac{1}{10})",
["typ"] = "minus" },
["render"] = "\\frac{(-17 - 1\\frac{4}{10}) \\cdot 3\\frac{4}{9}}{10 - (-17 \\cdot 3\\frac{1}{10})}",
["typ"] = "lomeno" } }
seed: M2fpk45Q119b1FcJzV9f_0.99, bodu=49, $$15 + 6 \cdot 18 \cdot 12 - (-18 - (-13))=\textcolor{white}{1316}$$return {
["body"] = 49,
["id"] = "D4knZ3_0615_2207",
["obtiznost"] = 0.99,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1316,
["jmenovatel"] = 1 },
["render"] = "\\frac{1316}{1}",
["typ"] = "cislo" },
["tex"] = "1316",
["tex_float"] = "1316",
["x"] = 1316 },
["seed"] = "M2fpk45Q119b1FcJzV9f_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "18 \\cdot 12",
["typ"] = "krat" },
["render"] = "6 \\cdot 18 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-18 - (-13)",
["typ"] = "minus" },
["render"] = "(-18 - (-13))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 18 \\cdot 12 - (-18 - (-13))",
["typ"] = "minus" },
["render"] = "15 + 6 \\cdot 18 \\cdot 12 - (-18 - (-13))",
["typ"] = "plus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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UJrA.gif: 
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