- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 5zPYOybjvIRFVyH2PXWH_0, bodu=5, $$4 \cdot 8 \cdot 9=\textcolor{white}{288}$$return {
["body"] = 5,
["id"] = "VPK2rM_0120_0438",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 288,
["jmenovatel"] = 1 },
["render"] = "\\frac{288}{1}",
["typ"] = "cislo" },
["tex"] = "288",
["x"] = 288 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["render"] = "4 \\cdot 8 \\cdot 9",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.01, bodu=17, $$\frac{(-6 \cdot 4 + 3)^2}{6}=\textcolor{white}{73{,}5}$$return {
["body"] = 17,
["id"] = "gteY4K_0120_0438",
["obtiznost"] = 0.1868,
["reseni"] = {
["float"] = 73.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 147,
["jmenovatel"] = 2 },
["render"] = "\\frac{441}{6}",
["typ"] = "cislo" },
["tex"] = "73\\frac{1}{2}",
["tex_float"] = "73{,}5",
["x"] = 73,
["y"] = 1,
["z"] = 2 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4 + 3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-6 \\cdot 4 + 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 \\cdot 4 + 3)^2}{6}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.02, bodu=13, $$\frac{3}{(5 - 11)^3 \cdot 10}=\textcolor{white}{-\frac{1}{720}}$$return {
["body"] = 13,
["id"] = "xsoRHv_0120_0438",
["obtiznost"] = 0.1068,
["reseni"] = {
["float"] = -0.0013888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 720 },
["render"] = "\\frac{3}{-2160}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{720}",
["y"] = -1,
["z"] = 720 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(5 - 11)^3 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{3}{(5 - 11)^3 \\cdot 10}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.03, bodu=10, $$6 + 7 - \frac{-10}{7}=\textcolor{white}{14\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "XnwOuK_0120_0438",
["obtiznost"] = 0.03,
["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"] = "5zPYOybjvIRFVyH2PXWH_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{7}",
["typ"] = "lomeno" },
["render"] = "6 + 7 - \\frac{-10}{7}",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.04, bodu=10, $$\frac{6}{6 - 6 - 5}=\textcolor{white}{-1{,}2}$$return {
["body"] = 10,
["id"] = "1iOsPy_0120_0438",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -1.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 5 },
["render"] = "\\frac{6}{-5}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{5}",
["tex_float"] = "-1{,}2",
["x"] = -1,
["y"] = 1,
["z"] = 5 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["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 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 6 - 5",
["typ"] = "minus" },
["render"] = "\\frac{6}{6 - 6 - 5}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.05, bodu=7, $$((9 - 10) \cdot 4 \cdot 4)^2=\textcolor{white}{256}$$return {
["body"] = 7,
["id"] = "sYp8TG_0120_0438",
["obtiznost"] = 0.1528,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["render"] = "(9 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 4",
["typ"] = "krat" },
["render"] = "(9 - 10) \\cdot 4 \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((9 - 10) \\cdot 4 \\cdot 4)^2",
["typ"] = "mocnina" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.06, bodu=21, $$\frac{-2}{1\frac{5}{6} \cdot 9}=\textcolor{white}{-\frac{4}{33}}$$return {
["body"] = 21,
["id"] = "vMc05N_0120_0438",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -0.12121212121212,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 33 },
["render"] = "\\frac{-4}{33}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{33}",
["y"] = -4,
["z"] = 33 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{-2}{1\\frac{5}{6} \\cdot 9}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.07, bodu=11, $$\frac{5 \cdot 8}{7}=\textcolor{white}{5\frac{5}{7}}$$return {
["body"] = 11,
["id"] = "IoHM22_0120_0438",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 5.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 7 },
["render"] = "\\frac{40}{7}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{7}",
["x"] = 5,
["y"] = 5,
["z"] = 7 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 8}{7}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.08, bodu=6, $$7 \cdot 7 \cdot 7=\textcolor{white}{343}$$return {
["body"] = 6,
["id"] = "HKOlYk_0120_0438",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 1 },
["render"] = "\\frac{343}{1}",
["typ"] = "cislo" },
["tex"] = "343",
["tex_float"] = "343",
["x"] = 343 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "7 \\cdot 7 \\cdot 7",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.09, bodu=6, $$8 - (7 - 7) + 9=\textcolor{white}{17}$$return {
["body"] = 6,
["id"] = "fNWmO4_0120_0438",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["render"] = "(7 - 7)",
["typ"] = "zavorka" },
["render"] = "8 - (7 - 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - (7 - 7) + 9",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.1, bodu=12, $$\frac{11 + 8}{3} \cdot 5=\textcolor{white}{31\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "ZXOwLl_0120_0438",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 31.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 3 },
["render"] = "\\frac{95}{3}",
["typ"] = "cislo" },
["tex"] = "31\\frac{2}{3}",
["x"] = 31,
["y"] = 2,
["z"] = 3 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 8}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 8}{3} \\cdot 5",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.11, bodu=13, $$6 \cdot \frac{6}{7}=\textcolor{white}{5\frac{1}{7}}$$return {
["body"] = 13,
["id"] = "NmxFTi_0120_0438",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 5.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 7 },
["render"] = "\\frac{36}{7}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{7}",
["x"] = 5,
["y"] = 1,
["z"] = 7 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{6}{7}",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.12, bodu=6, $$9 - (8 - (-7 - 9))=\textcolor{white}{-15}$$return {
["body"] = 6,
["id"] = "R3uKJl_0120_0438",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["render"] = "(-7 - 9)",
["typ"] = "zavorka" },
["render"] = "8 - (-7 - 9)",
["typ"] = "minus" },
["render"] = "(8 - (-7 - 9))",
["typ"] = "zavorka" },
["render"] = "9 - (8 - (-7 - 9))",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.13, bodu=17, $$5 + (\frac{11}{-7})^2 + 11=\textcolor{white}{18\frac{23}{49}}$$return {
["body"] = 17,
["id"] = "CCIurq_0120_0438",
["obtiznost"] = 0.198,
["reseni"] = {
["float"] = 18.469387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = 905,
["jmenovatel"] = 49 },
["render"] = "\\frac{905}{49}",
["typ"] = "cislo" },
["tex"] = "18\\frac{23}{49}",
["x"] = 18,
["y"] = 23,
["z"] = 49 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{-7})^2",
["typ"] = "mocnina" },
["render"] = "5 + (\\frac{11}{-7})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 + (\\frac{11}{-7})^2 + 11",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.14, bodu=27, $$12 - 3\frac{1}{6} + (-3 - (-10))=\textcolor{white}{15\frac{5}{6}}$$return {
["body"] = 27,
["id"] = "zp8wff_0120_0438",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 15.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 6 },
["render"] = "\\frac{95}{6}",
["typ"] = "cislo" },
["tex"] = "15\\frac{5}{6}",
["x"] = 15,
["y"] = 5,
["z"] = 6 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-3 - (-10)",
["typ"] = "minus" },
["render"] = "12 - 3\\frac{1}{6} + (-3 - (-10))",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.15, bodu=15, $$\frac{9}{4} \cdot (4 + 5)=\textcolor{white}{20{,}25}$$return {
["body"] = 15,
["id"] = "EKS3Fm_0120_0438",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 20.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 4 },
["render"] = "\\frac{81}{4}",
["typ"] = "cislo" },
["tex"] = "20\\frac{1}{4}",
["tex_float"] = "20{,}25",
["x"] = 20,
["y"] = 1,
["z"] = 4 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["render"] = "(4 + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{4} \\cdot (4 + 5)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.16, bodu=7, $$3 \cdot (9 + 3 + 12)=\textcolor{white}{72}$$return {
["body"] = 7,
["id"] = "fuskDf_0120_0438",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{1}",
["typ"] = "cislo" },
["tex"] = "72",
["tex_float"] = "72",
["x"] = 72 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 3 + 12",
["typ"] = "plus" },
["render"] = "(9 + 3 + 12)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (9 + 3 + 12)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.17, bodu=16, $$7 \cdot (\frac{-13}{6} + 10)=\textcolor{white}{54\frac{5}{6}}$$return {
["body"] = 16,
["id"] = "kEmAPq_0120_0438",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 54.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 329,
["jmenovatel"] = 6 },
["render"] = "\\frac{329}{6}",
["typ"] = "cislo" },
["tex"] = "54\\frac{5}{6}",
["x"] = 54,
["y"] = 5,
["z"] = 6 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{6} + 10",
["typ"] = "plus" },
["render"] = "(\\frac{-13}{6} + 10)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (\\frac{-13}{6} + 10)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.18, bodu=8, $$9 - (-7) - (-5 - 10)=\textcolor{white}{31}$$return {
["body"] = 8,
["id"] = "UJ1JZB_0120_0438",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 1 },
["render"] = "\\frac{31}{1}",
["typ"] = "cislo" },
["tex"] = "31",
["x"] = 31 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 - (-7)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 - 10",
["typ"] = "minus" },
["render"] = "(-5 - 10)",
["typ"] = "zavorka" },
["render"] = "9 - (-7) - (-5 - 10)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.19, bodu=31, $$7 + 1\frac{1}{4} \cdot 8 - 3=\textcolor{white}{14}$$return {
["body"] = 31,
["id"] = "J7AuWP_0120_0438",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot 8 - 3",
["typ"] = "minus" },
["render"] = "7 + 1\\frac{1}{4} \\cdot 8 - 3",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.2, bodu=32, $$\frac{11 + 5}{2\frac{4}{9} \cdot 9}=\textcolor{white}{\frac{8}{11}}$$return {
["body"] = 32,
["id"] = "yLlQnm_0120_0438",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 0.72727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 11 },
["render"] = "\\frac{16}{22}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{11}",
["y"] = 8,
["z"] = 11 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{11 + 5}{2\\frac{4}{9} \\cdot 9}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.21, bodu=9, $$-8 \cdot (6 + (-11) - 10 + 5)=\textcolor{white}{80}$$return {
["body"] = 9,
["id"] = "xqK1Ie_0120_0438",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{1}",
["typ"] = "cislo" },
["tex"] = "80",
["tex_float"] = "80",
["x"] = 80 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "6 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + (-11) - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + (-11) - 10 + 5",
["typ"] = "plus" },
["render"] = "(6 + (-11) - 10 + 5)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (6 + (-11) - 10 + 5)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.22, bodu=19, $$\frac{11 + (-6)}{(\frac{6}{3})^3 + 8}=\textcolor{white}{\frac{5}{16}}$$return {
["body"] = 19,
["id"] = "oNvVdp_0120_0438",
["obtiznost"] = 0.2236,
["reseni"] = {
["float"] = 0.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 16 },
["render"] = "\\frac{5}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{16}",
["y"] = 5,
["z"] = 16 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "11 + (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{3})^3 + 8",
["typ"] = "plus" },
["render"] = "\\frac{11 + (-6)}{(\\frac{6}{3})^3 + 8}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.23, bodu=9, $$(9 - 4 - 7) \cdot 8=\textcolor{white}{-16}$$return {
["body"] = 9,
["id"] = "kVOMNO_0120_0438",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16}{1}",
["typ"] = "cislo" },
["tex"] = "-16",
["tex_float"] = "-16",
["x"] = -16 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 4 - 7",
["typ"] = "minus" },
["render"] = "(9 - 4 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(9 - 4 - 7) \\cdot 8",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.24, bodu=10, $$5 \cdot (9 + 8) \cdot 5=\textcolor{white}{425}$$return {
["body"] = 10,
["id"] = "79sycC_0120_0438",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 425,
["jmenovatel"] = 1 },
["render"] = "\\frac{425}{1}",
["typ"] = "cislo" },
["tex"] = "425",
["x"] = 425 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "(9 + 8)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (9 + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 \\cdot (9 + 8) \\cdot 5",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.25, bodu=10, $$-8 \cdot 10 \cdot 9 \cdot 9=\textcolor{white}{-6480}$$return {
["body"] = 10,
["id"] = "2ZhqcO_0120_0438",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6480,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6480}{1}",
["typ"] = "cislo" },
["tex"] = "-6480",
["x"] = -6480 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["render"] = "-8 \\cdot 10 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 10 \\cdot 9 \\cdot 9",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.26, bodu=81, $$4\frac{1}{2} + \frac{\frac{3\frac{3}{6}}{5}}{3\frac{1}{7}}=\textcolor{white}{4\frac{159}{220}}$$return {
["body"] = 81,
["id"] = "kU89QE_0120_0438",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 4.7227272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1039,
["jmenovatel"] = 220 },
["render"] = "\\frac{2078}{440}",
["typ"] = "cislo" },
["tex"] = "4\\frac{159}{220}",
["x"] = 4,
["y"] = 159,
["z"] = 220 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{6}}{5}}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{2} + \\frac{\\frac{3\\frac{3}{6}}{5}}{3\\frac{1}{7}}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.27, bodu=38, $$\frac{8}{2\frac{2}{6}} + 6 \cdot 6=\textcolor{white}{39\frac{3}{7}}$$return {
["body"] = 38,
["id"] = "aPwKZ8_0120_0438",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 39.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 276,
["jmenovatel"] = 7 },
["render"] = "\\frac{276}{7}",
["typ"] = "cislo" },
["tex"] = "39\\frac{3}{7}",
["x"] = 39,
["y"] = 3,
["z"] = 7 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{8}{2\\frac{2}{6}} + 6 \\cdot 6",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.28, bodu=58, $$(1\frac{4}{8} - 12)^2 - (-11 \cdot 15)=\textcolor{white}{275{,}25}$$return {
["body"] = 58,
["id"] = "N3o8pq_0120_0438",
["obtiznost"] = 0.658,
["reseni"] = {
["float"] = 275.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1101,
["jmenovatel"] = 4 },
["render"] = "\\frac{1101}{4}",
["typ"] = "cislo" },
["tex"] = "275\\frac{1}{4}",
["tex_float"] = "275{,}25",
["x"] = 275,
["y"] = 1,
["z"] = 4 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{4}{8} - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 15",
["typ"] = "krat" },
["render"] = "(1\\frac{4}{8} - 12)^2 - (-11 \\cdot 15)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.29, bodu=26, $$\frac{(\frac{-6}{8})^3}{-8 \cdot 6}=\textcolor{white}{\frac{9}{1024}}$$return {
["body"] = 26,
["id"] = "MYCx1C_0120_0438",
["obtiznost"] = 0.3264,
["reseni"] = {
["float"] = 0.0087890625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1024 },
["render"] = "\\frac{-27}{-3072}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{1024}",
["y"] = 9,
["z"] = 1024 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.29",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{8})^3",
["typ"] = "mocnina" },
["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"] = "\\frac{(\\frac{-6}{8})^3}{-8 \\cdot 6}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.3, bodu=41, $$\frac{5}{-5} \cdot (-7 + 4\frac{3}{5})=\textcolor{white}{2{,}4}$$return {
["body"] = 41,
["id"] = "4hu7Rz_0120_0438",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 2.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "\\frac{12}{5}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{5}",
["tex_float"] = "2{,}4",
["x"] = 2,
["y"] = 2,
["z"] = 5 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-7 + 4\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(-7 + 4\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{-5} \\cdot (-7 + 4\\frac{3}{5})",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.31, bodu=12, $$(-8 + 8 + 14) \cdot (-10 - 4)=\textcolor{white}{-196}$$return {
["body"] = 12,
["id"] = "SJHu8F_0120_0438",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -196,
["jmenovatel"] = 1 },
["render"] = "\\frac{-196}{1}",
["typ"] = "cislo" },
["tex"] = "-196",
["x"] = -196 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 + 14",
["typ"] = "plus" },
["render"] = "-8 + 8 + 14",
["typ"] = "plus" },
["render"] = "(-8 + 8 + 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-10 - 4",
["typ"] = "minus" },
["render"] = "(-10 - 4)",
["typ"] = "zavorka" },
["render"] = "(-8 + 8 + 14) \\cdot (-10 - 4)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.32, bodu=89, $$\frac{4\frac{1}{6}}{6} \cdot (4\frac{5}{7} - (-13 + 2\frac{5}{8}))=\textcolor{white}{10\frac{965}{2016}}$$return {
["body"] = 89,
["id"] = "LpZ6Rb_0120_0438",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 10.478670634921,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21125,
["jmenovatel"] = 2016 },
["render"] = "\\frac{21125}{2016}",
["typ"] = "cislo" },
["tex"] = "10\\frac{965}{2016}",
["x"] = 10,
["y"] = 965,
["z"] = 2016 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{7} - (-13 + 2\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{7} - (-13 + 2\\frac{5}{8}))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{1}{6}}{6} \\cdot (4\\frac{5}{7} - (-13 + 2\\frac{5}{8}))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.33, bodu=66, $$4\frac{3}{5} \cdot 10 - 13 \cdot 1\frac{4}{9}=\textcolor{white}{27\frac{2}{9}}$$return {
["body"] = 66,
["id"] = "WO6joq_0120_0438",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 27.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 9 },
["render"] = "\\frac{245}{9}",
["typ"] = "cislo" },
["tex"] = "27\\frac{2}{9}",
["x"] = 27,
["y"] = 2,
["z"] = 9 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "4\\frac{3}{5} \\cdot 10 - 13 \\cdot 1\\frac{4}{9}",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.34, bodu=27, $$\frac{-9 - (-11)}{10 - 8}=\textcolor{white}{1}$$return {
["body"] = 27,
["id"] = "jzfugv_0120_0438",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{2}",
["typ"] = "cislo" },
["tex"] = "1",
["tex_float"] = "1",
["x"] = 1 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["render"] = "\\frac{-9 - (-11)}{10 - 8}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.35, bodu=28, $$13 - (\frac{-3}{11} - 14)=\textcolor{white}{27\frac{3}{11}}$$return {
["body"] = 28,
["id"] = "EJDsIB_0120_0438",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 27.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 300,
["jmenovatel"] = 11 },
["render"] = "\\frac{300}{11}",
["typ"] = "cislo" },
["tex"] = "27\\frac{3}{11}",
["x"] = 27,
["y"] = 3,
["z"] = 11 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{11} - 14",
["typ"] = "minus" },
["render"] = "(\\frac{-3}{11} - 14)",
["typ"] = "zavorka" },
["render"] = "13 - (\\frac{-3}{11} - 14)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.36, bodu=14, $$13 \cdot (-8 - (5 + 16)) + 5=\textcolor{white}{-372}$$return {
["body"] = 14,
["id"] = "H1mBYA_0120_0438",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -372,
["jmenovatel"] = 1 },
["render"] = "\\frac{-372}{1}",
["typ"] = "cislo" },
["tex"] = "-372",
["tex_float"] = "-372",
["x"] = -372 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "5 + 16",
["typ"] = "plus" },
["render"] = "(5 + 16)",
["typ"] = "zavorka" },
["render"] = "-8 - (5 + 16)",
["typ"] = "minus" },
["render"] = "(-8 - (5 + 16))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-8 - (5 + 16))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 \\cdot (-8 - (5 + 16)) + 5",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.37, bodu=89, $$(\frac{-10}{2\frac{5}{10} \cdot 5})^4 - (-16)=\textcolor{white}{16\frac{256}{625}}$$return {
["body"] = 89,
["id"] = "9tgF13_0120_0438",
["obtiznost"] = 0.9224,
["reseni"] = {
["float"] = 16.4096,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10256,
["jmenovatel"] = 625 },
["render"] = "\\frac{10256}{625}",
["typ"] = "cislo" },
["tex"] = "16\\frac{256}{625}",
["x"] = 16,
["y"] = 256,
["z"] = 625 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{-10}{2\\frac{5}{10} \\cdot 5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-10}{2\\frac{5}{10} \\cdot 5})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{2\\frac{5}{10} \\cdot 5})^4 - (-16)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.38, bodu=49, $$4 \cdot (11 - (6 - 4\frac{5}{6}))=\textcolor{white}{39\frac{1}{3}}$$return {
["body"] = 49,
["id"] = "LSBkyi_0120_0438",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 39.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 118,
["jmenovatel"] = 3 },
["render"] = "\\frac{236}{6}",
["typ"] = "cislo" },
["tex"] = "39\\frac{1}{3}",
["x"] = 39,
["y"] = 1,
["z"] = 3 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "6 - 4\\frac{5}{6}",
["typ"] = "minus" },
["render"] = "(6 - 4\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "11 - (6 - 4\\frac{5}{6})",
["typ"] = "minus" },
["render"] = "(11 - (6 - 4\\frac{5}{6}))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (11 - (6 - 4\\frac{5}{6}))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.39, bodu=31, $$\frac{15}{-12 \cdot 8} - (-12)=\textcolor{white}{11\frac{27}{32}}$$return {
["body"] = 31,
["id"] = "M2cvAt_0120_0438",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 11.84375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 379,
["jmenovatel"] = 32 },
["render"] = "\\frac{379}{32}",
["typ"] = "cislo" },
["tex"] = "11\\frac{27}{32}",
["x"] = 11,
["y"] = 27,
["z"] = 32 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{15}{-12 \\cdot 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-12 \\cdot 8} - (-12)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.4, bodu=84, $$(\frac{-9}{3\frac{4}{6}} + 3\frac{3}{11})^2 \cdot (8 + 11)=\textcolor{white}{12\frac{87}{121}}$$return {
["body"] = 84,
["id"] = "l66crA_0120_0438",
["obtiznost"] = 0.8808,
["reseni"] = {
["float"] = 12.719008264463,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1539,
["jmenovatel"] = 121 },
["render"] = "\\frac{1539}{121}",
["typ"] = "cislo" },
["tex"] = "12\\frac{87}{121}",
["x"] = 12,
["y"] = 87,
["z"] = 121 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11})^2",
["typ"] = "mocnina" },
["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"] = "plus" },
["render"] = "(8 + 11)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11})^2 \\cdot (8 + 11)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.41, bodu=75, $$\frac{4}{\frac{9 + 1\frac{2}{6} + 7}{2\frac{3}{5} - (-17)}}=\textcolor{white}{4\frac{34}{65}}$$return {
["body"] = 75,
["id"] = "F9KGyc_0120_0438",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 4.5230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 294,
["jmenovatel"] = 65 },
["render"] = "\\frac{588}{130}",
["typ"] = "cislo" },
["tex"] = "4\\frac{34}{65}",
["x"] = 4,
["y"] = 34,
["z"] = 65 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} + 7",
["typ"] = "plus" },
["render"] = "9 + 1\\frac{2}{6} + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - (-17)",
["typ"] = "minus" },
["render"] = "\\frac{9 + 1\\frac{2}{6} + 7}{2\\frac{3}{5} - (-17)}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{9 + 1\\frac{2}{6} + 7}{2\\frac{3}{5} - (-17)}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.42, bodu=76, $$\frac{(1\frac{3}{6} \cdot 7 - 4\frac{3}{4}) \cdot 10}{14}=\textcolor{white}{4\frac{3}{28}}$$return {
["body"] = 76,
["id"] = "YOcrXJ_0120_0438",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 4.1071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115,
["jmenovatel"] = 28 },
["render"] = "\\frac{115}{28}",
["typ"] = "cislo" },
["tex"] = "4\\frac{3}{28}",
["x"] = 4,
["y"] = 3,
["z"] = 28 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}) \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}) \\cdot 10}{14}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.43, bodu=56, $$\frac{(1\frac{1}{5} + (-8) + 7)^2 + 9}{-10} \cdot -7=\textcolor{white}{6{,}328}$$return {
["body"] = 56,
["id"] = "VLu8Hb_0120_0438",
["obtiznost"] = 0.6404,
["reseni"] = {
["float"] = 6.328,
["objekt"] = {
["hodnota"] = {
["citatel"] = 791,
["jmenovatel"] = 125 },
["render"] = "\\frac{791}{125}",
["typ"] = "cislo" },
["tex"] = "6\\frac{41}{125}",
["tex_float"] = "6{,}328",
["x"] = 6,
["y"] = 41,
["z"] = 125 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + (-8) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{5} + (-8) + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{5} + (-8) + 7)^2 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{1}{5} + (-8) + 7)^2 + 9}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{1}{5} + (-8) + 7)^2 + 9}{-10} \\cdot -7",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.44, bodu=58, $$3\frac{5}{9} + (-11) + (-7 - 14 + (\frac{14}{4})^2)=\textcolor{white}{-16\frac{7}{36}}$$return {
["body"] = 58,
["id"] = "9HhUDy_0120_0438",
["obtiznost"] = 0.6612,
["reseni"] = {
["float"] = -16.194444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -583,
["jmenovatel"] = 36 },
["render"] = "\\frac{-583}{36}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{7}{36}",
["x"] = -16,
["y"] = 7,
["z"] = 36 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-7 - 14",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{4})^2",
["typ"] = "mocnina" },
["render"] = "-7 - 14 + (\\frac{14}{4})^2",
["typ"] = "plus" },
["render"] = "3\\frac{5}{9} + (-11) + (-7 - 14 + (\\frac{14}{4})^2)",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.45, bodu=57, $$(4 + (-7)) \cdot \frac{10}{5 - 3\frac{1}{8}}=\textcolor{white}{-16}$$return {
["body"] = 57,
["id"] = "Kz5sJA_0120_0438",
["obtiznost"] = 0.65,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{3}",
["typ"] = "cislo" },
["tex"] = "-16",
["x"] = -16 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = "(4 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "5 - 3\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "\\frac{10}{5 - 3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "(4 + (-7)) \\cdot \\frac{10}{5 - 3\\frac{1}{8}}",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.46, bodu=38, $$(12 - 8) \cdot (\frac{12}{13} + (-10 + 4))=\textcolor{white}{-20\frac{4}{13}}$$return {
["body"] = 38,
["id"] = "Iw8jHe_0120_0438",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -20.307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -264,
["jmenovatel"] = 13 },
["render"] = "\\frac{-264}{13}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{4}{13}",
["x"] = -20,
["y"] = 4,
["z"] = 13 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.46",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["render"] = "(12 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-10 + 4",
["typ"] = "plus" },
["render"] = "\\frac{12}{13} + (-10 + 4)",
["typ"] = "plus" },
["render"] = "(\\frac{12}{13} + (-10 + 4))",
["typ"] = "zavorka" },
["render"] = "(12 - 8) \\cdot (\\frac{12}{13} + (-10 + 4))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.47, bodu=83, $$(1\frac{4}{6} - 1\frac{1}{2} + (-11)) \cdot (17 + \frac{10}{17})=\textcolor{white}{-190\frac{55}{102}}$$return {
["body"] = 83,
["id"] = "ucXeJp_0120_0438",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -190.53921568627,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19435,
["jmenovatel"] = 102 },
["render"] = "\\frac{-19435}{102}",
["typ"] = "cislo" },
["tex"] = "-190\\frac{55}{102}",
["x"] = -190,
["y"] = 55,
["z"] = 102 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 1\\frac{1}{2}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 1\\frac{1}{2} + (-11)",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{6} - 1\\frac{1}{2} + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{10}{17}",
["typ"] = "lomeno" },
["render"] = "17 + \\frac{10}{17}",
["typ"] = "plus" },
["render"] = "(17 + \\frac{10}{17})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{4}{6} - 1\\frac{1}{2} + (-11)) \\cdot (17 + \\frac{10}{17})",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.48, bodu=45, $$(\frac{-9}{-15})^3 \cdot 14 \cdot (14 + (-15))^3=\textcolor{white}{-3{,}024}$$return {
["body"] = 45,
["id"] = "4R0iSs_0120_0438",
["obtiznost"] = 0.5416,
["reseni"] = {
["float"] = -3.024,
["objekt"] = {
["hodnota"] = {
["citatel"] = -378,
["jmenovatel"] = 125 },
["render"] = "\\frac{-378}{125}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{125}",
["tex_float"] = "-3{,}024",
["x"] = -3,
["y"] = 3,
["z"] = 125 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-9}{-15})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "14 + (-15)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(14 + (-15))^3",
["typ"] = "mocnina" },
["render"] = "14 \\cdot (14 + (-15))^3",
["typ"] = "krat" },
["render"] = "(\\frac{-9}{-15})^3 \\cdot 14 \\cdot (14 + (-15))^3",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.49, bodu=91, $$(\frac{3\frac{1}{4} + 9 - (-12) - 10}{-12})^2=\textcolor{white}{1\frac{105}{256}}$$return {
["body"] = 91,
["id"] = "jhXrbu_0120_0438",
["obtiznost"] = 0.9368,
["reseni"] = {
["float"] = 1.41015625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 361,
["jmenovatel"] = 256 },
["render"] = "\\frac{361}{256}",
["typ"] = "cislo" },
["tex"] = "1\\frac{105}{256}",
["x"] = 1,
["y"] = 105,
["z"] = 256 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.49",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["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"] = "9 - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - (-12) - 10",
["typ"] = "minus" },
["render"] = "3\\frac{1}{4} + 9 - (-12) - 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4} + 9 - (-12) - 10}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{1}{4} + 9 - (-12) - 10}{-12})^2",
["typ"] = "mocnina" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.5, bodu=62, $$\frac{4\frac{2}{7} + (-6)}{\frac{4 - (-7)}{-3 + (-5)}}=\textcolor{white}{1\frac{19}{77}}$$return {
["body"] = 62,
["id"] = "3nr8x8_0120_0438",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 1.2467532467532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 77 },
["render"] = "\\frac{-96}{-77}",
["typ"] = "cislo" },
["tex"] = "1\\frac{19}{77}",
["x"] = 1,
["y"] = 19,
["z"] = 77 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + (-6)",
["typ"] = "plus" },
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-3 + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{4 - (-7)}{-3 + (-5)}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{7} + (-6)}{\\frac{4 - (-7)}{-3 + (-5)}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.51, bodu=69, $$16 + ((\frac{-11}{2})^2 + 7) \cdot 1\frac{5}{10}=\textcolor{white}{71{,}875}$$return {
["body"] = 69,
["id"] = "DsyES6_0120_0438",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 71.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 575,
["jmenovatel"] = 8 },
["render"] = "\\frac{575}{8}",
["typ"] = "cislo" },
["tex"] = "71\\frac{7}{8}",
["tex_float"] = "71{,}875",
["x"] = 71,
["y"] = 7,
["z"] = 8 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{-11}{2})^2 + 7",
["typ"] = "plus" },
["render"] = "((\\frac{-11}{2})^2 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "((\\frac{-11}{2})^2 + 7) \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "16 + ((\\frac{-11}{2})^2 + 7) \\cdot 1\\frac{5}{10}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.52, bodu=64, $$1\frac{5}{10} \cdot -12 - (-15 - 15 + (-10))=\textcolor{white}{22}$$return {
["body"] = 64,
["id"] = "1KfyI7_0120_0438",
["obtiznost"] = 0.72,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "\\frac{22}{1}",
["typ"] = "cislo" },
["tex"] = "22",
["x"] = 22 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-15 - 15 + (-10)",
["typ"] = "plus" },
["render"] = "(-15 - 15 + (-10))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} \\cdot -12 - (-15 - 15 + (-10))",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.53, bodu=90, $$\frac{-12}{-17 + 3\frac{5}{11} - 4\frac{4}{9} - (-14)}=\textcolor{white}{3\frac{3}{395}}$$return {
["body"] = 90,
["id"] = "d3cKQo_0120_0438",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 3.0075949367089,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1188,
["jmenovatel"] = 395 },
["render"] = "\\frac{-1188}{-395}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{395}",
["x"] = 3,
["y"] = 3,
["z"] = 395 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-17 + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-17 + 3\\frac{5}{11} - 4\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-17 + 3\\frac{5}{11} - 4\\frac{4}{9} - (-14)",
["typ"] = "minus" },
["render"] = "\\frac{-12}{-17 + 3\\frac{5}{11} - 4\\frac{4}{9} - (-14)}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.54, bodu=149, $$4\frac{4}{10} + 2\frac{3}{4} + (9 - 1\frac{3}{5}) \cdot (3\frac{3}{6} + (-8))=\textcolor{white}{-26{,}15}$$return {
["body"] = 149,
["id"] = "KclBkB_0120_0438",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -26.15,
["objekt"] = {
["hodnota"] = {
["citatel"] = -523,
["jmenovatel"] = 20 },
["render"] = "\\frac{-5230}{200}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{3}{20}",
["tex_float"] = "-26{,}15",
["x"] = -26,
["y"] = 3,
["z"] = 20 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 2\\frac{3}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{3}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{6} + (-8))",
["typ"] = "zavorka" },
["render"] = "(9 - 1\\frac{3}{5}) \\cdot (3\\frac{3}{6} + (-8))",
["typ"] = "krat" },
["render"] = "4\\frac{4}{10} + 2\\frac{3}{4} + (9 - 1\\frac{3}{5}) \\cdot (3\\frac{3}{6} + (-8))",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.55, bodu=120, $$9 \cdot -8 \cdot \frac{2\frac{1}{9} - 2\frac{5}{11}}{2\frac{1}{7}}=\textcolor{white}{11\frac{89}{165}}$$return {
["body"] = 120,
["id"] = "hUg6Mr_0120_0438",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 11.539393939394,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1904,
["jmenovatel"] = 165 },
["render"] = "\\frac{17136}{1485}",
["typ"] = "cislo" },
["tex"] = "11\\frac{89}{165}",
["x"] = 11,
["y"] = 89,
["z"] = 165 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} - 2\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{9} - 2\\frac{5}{11}}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot -8 \\cdot \\frac{2\\frac{1}{9} - 2\\frac{5}{11}}{2\\frac{1}{7}}",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.56, bodu=86, $$\frac{(-13 - (-6))^3}{-14} - (-6 + 1\frac{2}{5} + 10)=\textcolor{white}{19{,}1}$$return {
["body"] = 86,
["id"] = "Qk1ayy_0120_0438",
["obtiznost"] = 0.8976,
["reseni"] = {
["float"] = 19.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 10 },
["render"] = "\\frac{191}{10}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{10}",
["tex_float"] = "19{,}1",
["x"] = 19,
["y"] = 1,
["z"] = 10 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-13 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-13 - (-6))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 - (-6))^3}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 10",
["typ"] = "plus" },
["render"] = "-6 + 1\\frac{2}{5} + 10",
["typ"] = "plus" },
["render"] = "(-6 + 1\\frac{2}{5} + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{(-13 - (-6))^3}{-14} - (-6 + 1\\frac{2}{5} + 10)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.57, bodu=95, $$\frac{-10}{-9 - 1\frac{5}{9} - 7 \cdot 3\frac{4}{8}}=\textcolor{white}{\frac{180}{631}}$$return {
["body"] = 95,
["id"] = "SgCAFO_0120_0438",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 0.28526148969889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 631 },
["render"] = "\\frac{-180}{-631}",
["typ"] = "cislo" },
["tex"] = "\\frac{180}{631}",
["y"] = 180,
["z"] = 631 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-9 - 1\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "-9 - 1\\frac{5}{9} - 7 \\cdot 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{-9 - 1\\frac{5}{9} - 7 \\cdot 3\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.58, bodu=25, $$(9 \cdot -8 - 16) \cdot (9 - 16)^2=\textcolor{white}{-4312}$$return {
["body"] = 25,
["id"] = "nc1zuK_0120_0438",
["obtiznost"] = 0.6,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4312,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4312}{1}",
["typ"] = "cislo" },
["tex"] = "-4312",
["x"] = -4312 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.58",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "9 \\cdot -8 - 16",
["typ"] = "minus" },
["render"] = "(9 \\cdot -8 - 16)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "9 - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 16)^2",
["typ"] = "mocnina" },
["render"] = "(9 \\cdot -8 - 16) \\cdot (9 - 16)^2",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.59, bodu=73, $$16 \cdot 5 \cdot (-8 - (1\frac{1}{3} + 10))=\textcolor{white}{-1546\frac{2}{3}}$$return {
["body"] = 73,
["id"] = "HIOYyP_0120_0438",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -1546.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4640,
["jmenovatel"] = 3 },
["render"] = "\\frac{-4640}{3}",
["typ"] = "cislo" },
["tex"] = "-1546\\frac{2}{3}",
["x"] = -1546,
["y"] = 2,
["z"] = 3 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} + 10",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{3} + 10)",
["typ"] = "zavorka" },
["render"] = "-8 - (1\\frac{1}{3} + 10)",
["typ"] = "minus" },
["render"] = "(-8 - (1\\frac{1}{3} + 10))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-8 - (1\\frac{1}{3} + 10))",
["typ"] = "krat" },
["render"] = "16 \\cdot 5 \\cdot (-8 - (1\\frac{1}{3} + 10))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.6, bodu=46, $$(17 - 15)^2 - ((-11 + 9)^2 + 11 + (19 - (-10))^2)=\textcolor{white}{-852}$$return {
["body"] = 46,
["id"] = "HGD16e_0120_0438",
["obtiznost"] = 0.9408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -852,
["jmenovatel"] = 1 },
["render"] = "\\frac{-852}{1}",
["typ"] = "cislo" },
["tex"] = "-852",
["x"] = -852 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.6",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "17 - 15",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(17 - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "19 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(19 - (-10))^2",
["typ"] = "mocnina" },
["render"] = "11 + (19 - (-10))^2",
["typ"] = "plus" },
["render"] = "(-11 + 9)^2 + 11 + (19 - (-10))^2",
["typ"] = "plus" },
["render"] = "((-11 + 9)^2 + 11 + (19 - (-10))^2)",
["typ"] = "zavorka" },
["render"] = "(17 - 15)^2 - ((-11 + 9)^2 + 11 + (19 - (-10))^2)",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.61, bodu=75, $$(5 - \frac{\frac{4\frac{5}{11}}{-13}}{-5}) \cdot (-14 + 7)=\textcolor{white}{-34\frac{372}{715}}$$return {
["body"] = 75,
["id"] = "8xR7CU_0120_0438",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -34.52027972028,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24682,
["jmenovatel"] = 715 },
["render"] = "\\frac{-24682}{715}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{372}{715}",
["x"] = -34,
["y"] = 372,
["z"] = 715 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}",
["typ"] = "minus" },
["render"] = "(5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-14 + 7",
["typ"] = "plus" },
["render"] = "(-14 + 7)",
["typ"] = "zavorka" },
["render"] = "(5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}) \\cdot (-14 + 7)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.62, bodu=145, $$\frac{4\frac{3}{7}}{3\frac{5}{14}} + \frac{-13}{14} - (-5 + 14)^3=\textcolor{white}{-728\frac{401}{658}}$$return {
["body"] = 145,
["id"] = "EKPP5H_0120_0438",
["obtiznost"] = 1.312,
["reseni"] = {
["float"] = -728.6094224924,
["objekt"] = {
["hodnota"] = {
["citatel"] = -479425,
["jmenovatel"] = 658 },
["render"] = "\\frac{-479425}{658}",
["typ"] = "cislo" },
["tex"] = "-728\\frac{401}{658}",
["x"] = -728,
["y"] = 401,
["z"] = 658 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}} + \\frac{-13}{14}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-5 + 14",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-5 + 14)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}} + \\frac{-13}{14} - (-5 + 14)^3",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.63, bodu=144, $$\frac{(\frac{-20}{17})^2}{3\frac{1}{6} \cdot -17 + 1\frac{2}{4}}=\textcolor{white}{-\frac{1200}{45373}}$$return {
["body"] = 144,
["id"] = "Q7Dr2w_0120_0438",
["obtiznost"] = 1.3056,
["reseni"] = {
["float"] = -0.026447446719415,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1200,
["jmenovatel"] = 45373 },
["render"] = "\\frac{1200}{-45373}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1200}{45373}",
["y"] = -1200,
["z"] = 45373 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.63",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-20}{17})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot -17 + 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-20}{17})^2}{3\\frac{1}{6} \\cdot -17 + 1\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.64, bodu=134, $$\frac{1\frac{1}{6} - \frac{11 \cdot 1\frac{3}{10}}{12}}{3\frac{2}{7}}=\textcolor{white}{-\frac{7}{920}}$$return {
["body"] = 134,
["id"] = "cHp03x_0120_0438",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -0.0076086956521739,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 920 },
["render"] = "\\frac{-7}{920}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{920}",
["y"] = -7,
["z"] = 920 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{3}{10}}{12}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{6} - \\frac{11 \\cdot 1\\frac{3}{10}}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6} - \\frac{11 \\cdot 1\\frac{3}{10}}{12}}{3\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.65, bodu=81, $$\frac{(-9 + 12)^3}{\frac{12}{\frac{2\frac{5}{11}}{12}}}=\textcolor{white}{\frac{81}{176}}$$return {
["body"] = 81,
["id"] = "AGroBI_0120_0438",
["obtiznost"] = 0.8612,
["reseni"] = {
["float"] = 0.46022727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 176 },
["render"] = "\\frac{81}{176}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{176}",
["y"] = 81,
["z"] = 176 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-9 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{2\\frac{5}{11}}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-9 + 12)^3}{\\frac{12}{\\frac{2\\frac{5}{11}}{12}}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.66, bodu=135, $$(-8 + 12)^3 - \frac{8 + 1\frac{1}{2}}{(-12 - 18)^2}=\textcolor{white}{63\frac{1781}{1800}}$$return {
["body"] = 135,
["id"] = "wDTIGn_0120_0438",
["obtiznost"] = 1.2464,
["reseni"] = {
["float"] = 63.989444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115181,
["jmenovatel"] = 1800 },
["render"] = "\\frac{115181}{1800}",
["typ"] = "cislo" },
["tex"] = "63\\frac{1781}{1800}",
["x"] = 63,
["y"] = 1781,
["z"] = 1800 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.66",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-12 - 18",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - 18)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 + 1\\frac{1}{2}}{(-12 - 18)^2}",
["typ"] = "lomeno" },
["render"] = "(-8 + 12)^3 - \\frac{8 + 1\\frac{1}{2}}{(-12 - 18)^2}",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.67, bodu=138, $$\frac{\frac{-5}{1\frac{5}{13}} \cdot 1\frac{3}{11} \cdot 1\frac{2}{11}}{-19}=\textcolor{white}{\frac{5915}{20691}}$$return {
["body"] = 138,
["id"] = "XA1ptr_0120_0438",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 0.28587308491615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5915,
["jmenovatel"] = 20691 },
["render"] = "\\frac{-5915}{-20691}",
["typ"] = "cislo" },
["tex"] = "\\frac{5915}{20691}",
["y"] = 5915,
["z"] = 20691 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11} \\cdot 1\\frac{2}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11} \\cdot 1\\frac{2}{11}}{-19}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.68, bodu=111, $$\frac{1\frac{3}{7} + 10}{1\frac{4}{7} + (-10)} \cdot 16 \cdot -14=\textcolor{white}{303\frac{43}{59}}$$return {
["body"] = 111,
["id"] = "mUFavm_0120_0438",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 303.72881355932,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17920,
["jmenovatel"] = 59 },
["render"] = "\\frac{17920}{59}",
["typ"] = "cislo" },
["tex"] = "303\\frac{43}{59}",
["x"] = 303,
["y"] = 43,
["z"] = 59 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{7} + 10}{1\\frac{4}{7} + (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "16 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{7} + 10}{1\\frac{4}{7} + (-10)} \\cdot 16 \\cdot -14",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.69, bodu=182, $$\frac{2\frac{3}{11} - 2\frac{5}{14}}{(\frac{1\frac{4}{8}}{-15} \cdot -16)^3}=\textcolor{white}{-\frac{1625}{78848}}$$return {
["body"] = 182,
["id"] = "2BZtOH_0120_0438",
["obtiznost"] = 1.5448,
["reseni"] = {
["float"] = -0.020609273538961,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1625,
["jmenovatel"] = 78848 },
["render"] = "\\frac{-1625}{78848}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1625}{78848}",
["y"] = -1625,
["z"] = 78848 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 2\\frac{5}{14}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8}}{-15} \\cdot -16",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{4}{8}}{-15} \\cdot -16)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{3}{11} - 2\\frac{5}{14}}{(\\frac{1\\frac{4}{8}}{-15} \\cdot -16)^3}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.7, bodu=113, $$\frac{-15}{\frac{2\frac{2}{9}}{-13 + (-8) - 4\frac{3}{7} \cdot 15}}=\textcolor{white}{590\frac{1}{7}}$$return {
["body"] = 113,
["id"] = "v28dtq_0120_0438",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 590.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4131,
["jmenovatel"] = 7 },
["render"] = "\\frac{-20655}{-35}",
["typ"] = "cislo" },
["tex"] = "590\\frac{1}{7}",
["x"] = 590,
["y"] = 1,
["z"] = 7 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 15",
["typ"] = "krat" },
["render"] = "-13 + (-8) - 4\\frac{3}{7} \\cdot 15",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{9}}{-13 + (-8) - 4\\frac{3}{7} \\cdot 15}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{2\\frac{2}{9}}{-13 + (-8) - 4\\frac{3}{7} \\cdot 15}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.71, bodu=115, $$\frac{2\frac{2}{4} - (1\frac{5}{9} - 16)}{12 \cdot -18 - 17}=\textcolor{white}{-\frac{305}{4194}}$$return {
["body"] = 115,
["id"] = "c1cp3D_0120_0438",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -0.072722937529804,
["objekt"] = {
["hodnota"] = {
["citatel"] = -305,
["jmenovatel"] = 4194 },
["render"] = "\\frac{305}{-4194}",
["typ"] = "cislo" },
["tex"] = "-\\frac{305}{4194}",
["y"] = -305,
["z"] = 4194 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 16",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{9} - 16)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{4} - (1\\frac{5}{9} - 16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "12 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "12 \\cdot -18 - 17",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{4} - (1\\frac{5}{9} - 16)}{12 \\cdot -18 - 17}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.72, bodu=233, $$1\frac{1}{7} - (\frac{3\frac{2}{7}}{2\frac{2}{7}})^2 \cdot 13 - 2\frac{4}{9}=\textcolor{white}{-28\frac{2659}{16128}}$$return {
["body"] = 233,
["id"] = "pQvU8I_0120_0438",
["obtiznost"] = 1.834,
["reseni"] = {
["float"] = -28.164868551587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -454243,
["jmenovatel"] = 16128 },
["render"] = "\\frac{-454243}{16128}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{2659}{16128}",
["x"] = -28,
["y"] = 2659,
["z"] = 16128 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13",
["typ"] = "krat" },
["render"] = "1\\frac{1}{7} - (\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - (\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13 - 2\\frac{4}{9}",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.73, bodu=155, $$3\frac{1}{6} + \frac{\frac{-6}{1\frac{4}{7}}}{(-13 - 12)^2 + 8}=\textcolor{white}{3\frac{2237}{13926}}$$return {
["body"] = 155,
["id"] = "hTm9NV_0120_0438",
["obtiznost"] = 1.3804,
["reseni"] = {
["float"] = 3.1606347838575,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44015,
["jmenovatel"] = 13926 },
["render"] = "\\frac{44015}{13926}",
["typ"] = "cislo" },
["tex"] = "3\\frac{2237}{13926}",
["x"] = 3,
["y"] = 2237,
["z"] = 13926 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-13 - 12)^2 + 8",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-6}{1\\frac{4}{7}}}{(-13 - 12)^2 + 8}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{6} + \\frac{\\frac{-6}{1\\frac{4}{7}}}{(-13 - 12)^2 + 8}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.74, bodu=181, $$(4\frac{3}{11} - \frac{-12}{2\frac{3}{6}} - 1\frac{1}{5}) \cdot (2\frac{1}{8} + 14)=\textcolor{white}{126\frac{417}{440}}$$return {
["body"] = 181,
["id"] = "XpnKXk_0120_0438",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 126.94772727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55857,
["jmenovatel"] = 440 },
["render"] = "\\frac{55857}{440}",
["typ"] = "cislo" },
["tex"] = "126\\frac{417}{440}",
["x"] = 126,
["y"] = 417,
["z"] = 440 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} + 14",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{8} + 14)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5}) \\cdot (2\\frac{1}{8} + 14)",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.75, bodu=120, $$7 \cdot 2\frac{5}{12} - (4\frac{5}{9} + 14 \cdot -17 - (-13))=\textcolor{white}{237\frac{13}{36}}$$return {
["body"] = 120,
["id"] = "ZDKz2M_0120_0438",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 237.36111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8545,
["jmenovatel"] = 36 },
["render"] = "\\frac{25635}{108}",
["typ"] = "cislo" },
["tex"] = "237\\frac{13}{36}",
["x"] = 237,
["y"] = 13,
["z"] = 36 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 2\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "14 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "14 \\cdot -17 - (-13)",
["typ"] = "minus" },
["render"] = "4\\frac{5}{9} + 14 \\cdot -17 - (-13)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + 14 \\cdot -17 - (-13))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 2\\frac{5}{12} - (4\\frac{5}{9} + 14 \\cdot -17 - (-13))",
["typ"] = "minus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.76, bodu=161, $$(\frac{1\frac{1}{3} \cdot 12 \cdot \frac{8}{-16}}{3\frac{1}{5}})^4=\textcolor{white}{39\frac{1}{16}}$$return {
["body"] = 161,
["id"] = "LCQjhT_0120_0438",
["obtiznost"] = 1.4164,
["reseni"] = {
["float"] = 39.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 16 },
["render"] = "\\frac{625}{16}",
["typ"] = "cislo" },
["tex"] = "39\\frac{1}{16}",
["x"] = 39,
["y"] = 1,
["z"] = 16 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.76",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-16}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}}{3\\frac{1}{5}})^4",
["typ"] = "mocnina" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.77, bodu=187, $$4\frac{1}{6} \cdot 3\frac{4}{9} \cdot \frac{1\frac{4}{7}}{1\frac{5}{11}} \cdot 16=\textcolor{white}{248\frac{31}{378}}$$return {
["body"] = 187,
["id"] = "oBvfQJ_0120_0438",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 248.08201058201,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93775,
["jmenovatel"] = 378 },
["render"] = "\\frac{93775}{378}",
["typ"] = "cislo" },
["tex"] = "248\\frac{31}{378}",
["x"] = 248,
["y"] = 31,
["z"] = 378 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{1\\frac{5}{11}} \\cdot 16",
["typ"] = "krat" },
["render"] = "4\\frac{1}{6} \\cdot 3\\frac{4}{9} \\cdot \\frac{1\\frac{4}{7}}{1\\frac{5}{11}} \\cdot 16",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.78, bodu=188, $$\frac{4\frac{2}{5}}{\frac{-9}{3\frac{4}{9} + 1\frac{5}{9} + \frac{1\frac{1}{10}}{-9}}}=\textcolor{white}{-2\frac{779}{2025}}$$return {
["body"] = 188,
["id"] = "ucEKVG_0120_0438",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -2.3846913580247,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4829,
["jmenovatel"] = 2025 },
["render"] = "\\frac{9658}{-4050}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{779}{2025}",
["x"] = -2,
["y"] = 779,
["z"] = 2025 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{10}}{-9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}",
["typ"] = "plus" },
["render"] = "3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{5}}{\\frac{-9}{3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.79, bodu=130, $$\frac{-17 - (-9 + 17)^2}{4\frac{5}{11} - \frac{-14}{3\frac{4}{10}}}=\textcolor{white}{-9\frac{720}{1603}}$$return {
["body"] = 130,
["id"] = "0pm29c_0120_0438",
["obtiznost"] = 1.216,
["reseni"] = {
["float"] = -9.4491578290705,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15147,
["jmenovatel"] = 1603 },
["render"] = "\\frac{-15147}{1603}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{720}{1603}",
["x"] = -9,
["y"] = 720,
["z"] = 1603 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-9 + 17",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 17)^2",
["typ"] = "mocnina" },
["render"] = "-17 - (-9 + 17)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} - \\frac{-14}{3\\frac{4}{10}}",
["typ"] = "minus" },
["render"] = "\\frac{-17 - (-9 + 17)^2}{4\\frac{5}{11} - \\frac{-14}{3\\frac{4}{10}}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.8, bodu=192, $$\frac{3\frac{5}{10} + \frac{\frac{-10}{1\frac{5}{12}}}{\frac{2\frac{4}{7}}{-6}}}{3\frac{3}{8}}=\textcolor{white}{5\frac{421}{459}}$$return {
["body"] = 192,
["id"] = "rv7yKT_0120_0438",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 5.917211328976,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2716,
["jmenovatel"] = 459 },
["render"] = "\\frac{5432}{918}",
["typ"] = "cislo" },
["tex"] = "5\\frac{421}{459}",
["x"] = 5,
["y"] = 421,
["z"] = 459 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{10} + \\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10} + \\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}}{3\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.81, bodu=193, $$(4\frac{4}{9} - 3\frac{1}{6}) \cdot (22 + 2\frac{5}{9}) \cdot -15 \cdot 4\frac{4}{9}=\textcolor{white}{-2091\frac{187}{243}}$$return {
["body"] = 193,
["id"] = "BbQ2kE_0120_0438",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = -2091.7695473251,
["objekt"] = {
["hodnota"] = {
["citatel"] = -508300,
["jmenovatel"] = 243 },
["render"] = "\\frac{-1016600}{486}",
["typ"] = "cislo" },
["tex"] = "-2091\\frac{187}{243}",
["x"] = -2091,
["y"] = 187,
["z"] = 243 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - 3\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "22 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(22 + 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6}) \\cdot (22 + 2\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6}) \\cdot (22 + 2\\frac{5}{9}) \\cdot -15 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.82, bodu=162, $$(16 - 1\frac{2}{5} + 11 - (-15)) \cdot (3\frac{1}{9} + 9 - 2\frac{4}{10})=\textcolor{white}{394\frac{61}{225}}$$return {
["body"] = 162,
["id"] = "2DhvpU_0120_0438",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 394.27111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88711,
["jmenovatel"] = 225 },
["render"] = "\\frac{88711}{225}",
["typ"] = "cislo" },
["tex"] = "394\\frac{61}{225}",
["x"] = 394,
["y"] = 61,
["z"] = 225 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "16 - 1\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "16 - 1\\frac{2}{5} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "16 - 1\\frac{2}{5} + 11 - (-15)",
["typ"] = "minus" },
["render"] = "(16 - 1\\frac{2}{5} + 11 - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{9} + 9 - 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{9} + 9 - 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "(16 - 1\\frac{2}{5} + 11 - (-15)) \\cdot (3\\frac{1}{9} + 9 - 2\\frac{4}{10})",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.83, bodu=197, $$\frac{\frac{-16}{3\frac{5}{12}}}{2\frac{3}{9} + \frac{3\frac{4}{6}}{11} - 2\frac{4}{9}}=\textcolor{white}{-21\frac{3}{41}}$$return {
["body"] = 197,
["id"] = "TOXELu_0120_0438",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = -21.073170731707,
["objekt"] = {
["hodnota"] = {
["citatel"] = -864,
["jmenovatel"] = 41 },
["render"] = "\\frac{-1728}{82}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{3}{41}",
["x"] = -21,
["y"] = 3,
["z"] = 41 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{11}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11} - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-16}{3\\frac{5}{12}}}{2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11} - 2\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.84, bodu=234, $$1\frac{5}{12} - 3\frac{3}{9} + 3\frac{2}{7} - (-11) + \frac{3\frac{2}{6}}{-4 + 2\frac{3}{11}}=\textcolor{white}{10\frac{701}{1596}}$$return {
["body"] = 234,
["id"] = "x9zkSf_0120_0438",
["obtiznost"] = 1.84,
["reseni"] = {
["float"] = 10.439223057644,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16661,
["jmenovatel"] = 1596 },
["render"] = "\\frac{49983}{4788}",
["typ"] = "cislo" },
["tex"] = "10\\frac{701}{1596}",
["x"] = 10,
["y"] = 701,
["z"] = 1596 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - (-11)",
["typ"] = "minus" },
["render"] = "1\\frac{5}{12} - 3\\frac{3}{9} + 3\\frac{2}{7} - (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{6}}{-4 + 2\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{12} - 3\\frac{3}{9} + 3\\frac{2}{7} - (-11) + \\frac{3\\frac{2}{6}}{-4 + 2\\frac{3}{11}}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.85, bodu=167, $$\frac{-15 \cdot 2\frac{3}{9} \cdot 19}{\frac{1\frac{1}{9}}{4\frac{4}{11}}}=\textcolor{white}{-2611\frac{7}{11}}$$return {
["body"] = 167,
["id"] = "L3whKA_0120_0438",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -2611.6363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28728,
["jmenovatel"] = 11 },
["render"] = "\\frac{-143640}{55}",
["typ"] = "cislo" },
["tex"] = "-2611\\frac{7}{11}",
["x"] = -2611,
["y"] = 7,
["z"] = 11 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 19",
["typ"] = "krat" },
["render"] = "-15 \\cdot 2\\frac{3}{9} \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9}}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15 \\cdot 2\\frac{3}{9} \\cdot 19}{\\frac{1\\frac{1}{9}}{4\\frac{4}{11}}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.86, bodu=137, $$6 \cdot -10 - 3\frac{5}{7} + \frac{-10 + 4\frac{3}{5} + 13}{-15}=\textcolor{white}{-64\frac{116}{525}}$$return {
["body"] = 137,
["id"] = "tyGTeV_0120_0438",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -64.220952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33716,
["jmenovatel"] = 525 },
["render"] = "\\frac{-33716}{525}",
["typ"] = "cislo" },
["tex"] = "-64\\frac{116}{525}",
["x"] = -64,
["y"] = 116,
["z"] = 525 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10 - 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-10 + 4\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 + 4\\frac{3}{5} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + 4\\frac{3}{5} + 13}{-15}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot -10 - 3\\frac{5}{7} + \\frac{-10 + 4\\frac{3}{5} + 13}{-15}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.87, bodu=138, $$-17 \cdot (17 - \frac{2\frac{4}{12}}{20} - (-8 + 3\frac{1}{7}))=\textcolor{white}{-369\frac{247}{420}}$$return {
["body"] = 138,
["id"] = "R6xxjU_0120_0438",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -369.5880952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155227,
["jmenovatel"] = 420 },
["render"] = "\\frac{-155227}{420}",
["typ"] = "cislo" },
["tex"] = "-369\\frac{247}{420}",
["x"] = -369,
["y"] = 247,
["z"] = 420 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{12}}{20}",
["typ"] = "lomeno" },
["render"] = "17 - \\frac{2\\frac{4}{12}}{20}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-8 + 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7})",
["typ"] = "minus" },
["render"] = "(17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7}))",
["typ"] = "zavorka" },
["render"] = "-17 \\cdot (17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7}))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.88, bodu=205, $$4\frac{5}{11} - 2 - (12 - (-5)) + 3\frac{1}{6} + \frac{2\frac{4}{7}}{2\frac{1}{9}}=\textcolor{white}{-10\frac{1411}{8778}}$$return {
["body"] = 205,
["id"] = "rFWF9d_0120_0438",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -10.160742766006,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89191,
["jmenovatel"] = 8778 },
["render"] = "\\frac{-89191}{8778}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1411}{8778}",
["x"] = -10,
["y"] = 1411,
["z"] = 8778 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - 2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 - (-5)",
["typ"] = "minus" },
["render"] = "(12 - (-5))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{11} - 2 - (12 - (-5))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{2\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{6} + \\frac{2\\frac{4}{7}}{2\\frac{1}{9}}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{11} - 2 - (12 - (-5)) + 3\\frac{1}{6} + \\frac{2\\frac{4}{7}}{2\\frac{1}{9}}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.89, bodu=141, $$(10 + (-9)) \cdot (1\frac{3}{9} - 11 - (-8 - 1\frac{3}{12} - (-14)))=\textcolor{white}{-14\frac{5}{12}}$$return {
["body"] = 141,
["id"] = "7DyvcS_0120_0438",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -14.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -173,
["jmenovatel"] = 12 },
["render"] = "\\frac{-173}{12}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{5}{12}",
["x"] = -14,
["y"] = 5,
["z"] = 12 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 + (-9)",
["typ"] = "plus" },
["render"] = "(10 + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 11",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-8 - 1\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 - 1\\frac{3}{12} - (-14)",
["typ"] = "minus" },
["render"] = "(-8 - 1\\frac{3}{12} - (-14))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14))",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14)))",
["typ"] = "zavorka" },
["render"] = "(10 + (-9)) \\cdot (1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14)))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.9, bodu=175, $$16 + \frac{1\frac{2}{6}}{6 \cdot \frac{1\frac{4}{13}}{10 + 3\frac{4}{7}}}=\textcolor{white}{18\frac{328}{1071}}$$return {
["body"] = 175,
["id"] = "bSIWeF_0120_0438",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 18.306255835668,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19606,
["jmenovatel"] = 1071 },
["render"] = "\\frac{19606}{1071}",
["typ"] = "cislo" },
["tex"] = "18\\frac{328}{1071}",
["x"] = 18,
["y"] = 328,
["z"] = 1071 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{6}}{6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}}",
["typ"] = "lomeno" },
["render"] = "16 + \\frac{1\\frac{2}{6}}{6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}}",
["typ"] = "plus" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.91, bodu=221, $$\frac{\frac{3\frac{3}{9} - (-20)}{15}}{-11 - (4\frac{2}{5} + (2\frac{2}{5} + (-4))^3)}=\textcolor{white}{-\frac{1750}{12717}}$$return {
["body"] = 221,
["id"] = "xLda7R_0120_0438",
["obtiznost"] = 1.7648,
["reseni"] = {
["float"] = -0.13761107179366,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1750,
["jmenovatel"] = 12717 },
["render"] = "\\frac{1750}{-12717}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1750}{12717}",
["y"] = -1750,
["z"] = 12717 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - (-20)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{9} - (-20)}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + (-4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{5} + (-4))^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)",
["typ"] = "zavorka" },
["render"] = "-11 - (4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{3\\frac{3}{9} - (-20)}{15}}{-11 - (4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.92, bodu=178, $$\frac{1\frac{1}{10} - (-13)}{-17 + 3\frac{1}{4} - \frac{13}{3\frac{1}{7}}}=\textcolor{white}{-\frac{3102}{3935}}$$return {
["body"] = 178,
["id"] = "QxUvsb_0120_0438",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -0.78831003811944,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3102,
["jmenovatel"] = 3935 },
["render"] = "\\frac{6204}{-7870}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3102}{3935}",
["y"] = -3102,
["z"] = 3935 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}",
["typ"] = "minus" },
["render"] = "-17 + 3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{10} - (-13)}{-17 + 3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.93, bodu=180, $$\frac{12 \cdot (4\frac{1}{10} - (-11)) + 4\frac{2}{7}}{18 - 3\frac{5}{12}}=\textcolor{white}{12\frac{4404}{6125}}$$return {
["body"] = 180,
["id"] = "52UPbz_0120_0438",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 12.719020408163,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77904,
["jmenovatel"] = 6125 },
["render"] = "\\frac{77904}{6125}",
["typ"] = "cislo" },
["tex"] = "12\\frac{4404}{6125}",
["x"] = 12,
["y"] = 4404,
["z"] = 6125 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} - (-11)",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{10} - (-11))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (4\\frac{1}{10} - (-11))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "12 \\cdot (4\\frac{1}{10} - (-11)) + 4\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "18 - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot (4\\frac{1}{10} - (-11)) + 4\\frac{2}{7}}{18 - 3\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.94, bodu=149, $$3\frac{5}{8} \cdot (5 + \frac{4\frac{4}{12}}{-8} \cdot 18 - (-21))=\textcolor{white}{58\frac{29}{32}}$$return {
["body"] = 149,
["id"] = "6Rly97_0120_0438",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 58.90625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1885,
["jmenovatel"] = 32 },
["render"] = "\\frac{1885}{32}",
["typ"] = "cislo" },
["tex"] = "58\\frac{29}{32}",
["x"] = 58,
["y"] = 29,
["z"] = 32 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{-8} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21)",
["typ"] = "minus" },
["render"] = "5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21)",
["typ"] = "plus" },
["render"] = "(5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} \\cdot (5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.95, bodu=218, $$\frac{3\frac{4}{5} \cdot 2\frac{1}{6} \cdot -23 - 11}{1\frac{4}{10} - 4\frac{1}{4}}=\textcolor{white}{70\frac{52}{171}}$$return {
["body"] = 218,
["id"] = "4vLgvX_0120_0438",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 70.304093567251,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12022,
["jmenovatel"] = 171 },
["render"] = "\\frac{-120220}{-1710}",
["typ"] = "cislo" },
["tex"] = "70\\frac{52}{171}",
["x"] = 70,
["y"] = 52,
["z"] = 171 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} - 4\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23 - 11}{1\\frac{4}{10} - 4\\frac{1}{4}}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.96, bodu=220, $$1\frac{3}{14} \cdot (\frac{\frac{-15}{2\frac{1}{6}}}{-5} + 2\frac{2}{9} + (-15) + 1\frac{2}{10})=\textcolor{white}{-12\frac{3091}{8190}}$$return {
["body"] = 220,
["id"] = "LXYuKi_0120_0438",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -12.377411477411,
["objekt"] = {
["hodnota"] = {
["citatel"] = -101371,
["jmenovatel"] = 8190 },
["render"] = "\\frac{-101371}{8190}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3091}{8190}",
["x"] = -12,
["y"] = 3091,
["z"] = 8190 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 14 },
["render"] = "1\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + (-15)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + (-15) + 1\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{14} \\cdot (\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10})",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.97, bodu=314, $$\frac{\frac{(3\frac{1}{6} - 4\frac{5}{6})^4 + 3\frac{2}{5} + 2\frac{4}{6}}{14}}{2\frac{1}{11} + (-21)}=\textcolor{white}{-\frac{30701}{589680}}$$return {
["body"] = 314,
["id"] = "oJgAfw_0120_0438",
["obtiznost"] = 2.2524,
["reseni"] = {
["float"] = -0.052063831230498,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30701,
["jmenovatel"] = 589680 },
["render"] = "\\frac{30701}{-589680}",
["typ"] = "cislo" },
["tex"] = "-\\frac{30701}{589680}",
["y"] = -30701,
["z"] = 589680 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 4\\frac{5}{6}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{11} + (-21)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}}{14}}{2\\frac{1}{11} + (-21)}",
["typ"] = "lomeno" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.98, bodu=188, $$-8 \cdot 2\frac{4}{8} \cdot (2\frac{3}{8} + (-20) - (4\frac{2}{11} - (-15)))=\textcolor{white}{736\frac{3}{22}}$$return {
["body"] = 188,
["id"] = "EaAers_0120_0438",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 736.13636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16195,
["jmenovatel"] = 22 },
["render"] = "\\frac{64780}{88}",
["typ"] = "cislo" },
["tex"] = "736\\frac{3}{22}",
["x"] = 736,
["y"] = 3,
["z"] = 22 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 2\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + (-20)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{11} - (-15)",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{11} - (-15))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15))",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15)))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot 2\\frac{4}{8} \\cdot (2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15)))",
["typ"] = "krat" } }
seed: 5zPYOybjvIRFVyH2PXWH_0.99, bodu=225, $$3\frac{3}{12} - (\frac{3\frac{2}{9} + 1\frac{1}{4}}{-17} - \frac{-9}{1\frac{2}{8}})=\textcolor{white}{-3\frac{1051}{1530}}$$return {
["body"] = 225,
["id"] = "Q2SBGd_0120_0438",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -3.6869281045752,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5641,
["jmenovatel"] = 1530 },
["render"] = "\\frac{-45128}{12240}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1051}{1530}",
["x"] = -3,
["y"] = 1051,
["z"] = 1530 },
["seed"] = "5zPYOybjvIRFVyH2PXWH_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 1\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}}",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{12} - (\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}})",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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5ba.gif: 
AS001921_15.gif: 
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Lucky-star-good-job-o.gif: 
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
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