- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 9DlHOseMIcZDF9VEtEYD_0, bodu=10, $$(\frac{3 - (-9)}{6})^2 - 3=\textcolor{white}{1}$$return {
["body"] = 10,
["id"] = "fdZwJx_0517_1451",
["obtiznost"] = 0.002,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["tex_float"] = "1",
["x"] = 1 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3 - (-9)}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3 - (-9)}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(\\frac{3 - (-9)}{6})^2 - 3",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.01, bodu=10, $$6 \cdot \frac{6}{9}=\textcolor{white}{4}$$return {
["body"] = 10,
["id"] = "tsVP5D_0517_1451",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{3}",
["typ"] = "cislo" },
["tex"] = "4",
["x"] = 4 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.01",
["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"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{6}{9}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.02, bodu=5, $$6 - 6 \cdot 7 - 6=\textcolor{white}{-42}$$return {
["body"] = 5,
["id"] = "t0N2f2_0517_1451",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{1}",
["typ"] = "cislo" },
["tex"] = "-42",
["tex_float"] = "-42",
["x"] = -42 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.02",
["zadani"] = {
["c1"] = {
["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"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 - 6 \\cdot 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6 \\cdot 7 - 6",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.03, bodu=10, $$\frac{5}{3 + 8} - 7=\textcolor{white}{-6\frac{6}{11}}$$return {
["body"] = 10,
["id"] = "17Ed2l_0517_1451",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -6.5454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 11 },
["render"] = "\\frac{-72}{11}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{6}{11}",
["x"] = -6,
["y"] = 6,
["z"] = 11 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 + 8",
["typ"] = "plus" },
["render"] = "\\frac{5}{3 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3 + 8} - 7",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.04, bodu=5, $$9 \cdot 6 - (-10) - 4=\textcolor{white}{60}$$return {
["body"] = 5,
["id"] = "LwvlFQ_0517_1451",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{1}",
["typ"] = "cislo" },
["tex"] = "60",
["tex_float"] = "60",
["x"] = 60 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6 - (-10) - 4",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.05, bodu=11, $$9 + 7 + \frac{4}{5}=\textcolor{white}{16{,}8}$$return {
["body"] = 11,
["id"] = "9KosnP_0517_1451",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 16.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 5 },
["render"] = "\\frac{84}{5}",
["typ"] = "cislo" },
["tex"] = "16\\frac{4}{5}",
["tex_float"] = "16{,}8",
["x"] = 16,
["y"] = 4,
["z"] = 5 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.05",
["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"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5}",
["typ"] = "lomeno" },
["render"] = "9 + 7 + \\frac{4}{5}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.06, bodu=11, $$\frac{5 + (-8)}{10 + 9}=\textcolor{white}{-\frac{3}{19}}$$return {
["body"] = 11,
["id"] = "eo0htK_0517_1451",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -0.15789473684211,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 19 },
["render"] = "\\frac{-3}{19}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{19}",
["y"] = -3,
["z"] = 19 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 + (-8)",
["typ"] = "plus" },
["c2"] = {
["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"] = "\\frac{5 + (-8)}{10 + 9}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.07, bodu=5, $$(-8 - (8 + 8)) \cdot 10=\textcolor{white}{-240}$$return {
["body"] = 5,
["id"] = "rPCLwc_0517_1451",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -240,
["jmenovatel"] = 1 },
["render"] = "\\frac{-240}{1}",
["typ"] = "cislo" },
["tex"] = "-240",
["x"] = -240 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["render"] = "-8 - (8 + 8)",
["typ"] = "minus" },
["render"] = "(-8 - (8 + 8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-8 - (8 + 8)) \\cdot 10",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.08, bodu=13, $$\frac{\frac{9}{-6}}{(-8 + 5)^4}=\textcolor{white}{-\frac{1}{54}}$$return {
["body"] = 13,
["id"] = "RhzVDn_0517_1451",
["obtiznost"] = 0.1128,
["reseni"] = {
["float"] = -0.018518518518519,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 54 },
["render"] = "\\frac{-3}{162}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{54}",
["y"] = -1,
["z"] = 54 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 + 5",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-8 + 5)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{9}{-6}}{(-8 + 5)^4}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.09, bodu=6, $$6 + 3 + (-5 \cdot 8)=\textcolor{white}{-31}$$return {
["body"] = 6,
["id"] = "ovnjey_0517_1451",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -31,
["jmenovatel"] = 1 },
["render"] = "\\frac{-31}{1}",
["typ"] = "cislo" },
["tex"] = "-31",
["x"] = -31 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + 3",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "6 + 3 + (-5 \\cdot 8)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.1, bodu=12, $$\frac{6 \cdot 8}{4}=\textcolor{white}{12}$$return {
["body"] = 12,
["id"] = "wZT6hq_0517_1451",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{48}{4}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 8}{4}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.11, bodu=6, $$((9 - 9)^4 \cdot 5)^3 \cdot 7=\textcolor{white}{0}$$return {
["body"] = 6,
["id"] = "m8yltl_0517_1451",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(9 - 9)^4 \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((9 - 9)^4 \\cdot 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "((9 - 9)^4 \\cdot 5)^3 \\cdot 7",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.12, bodu=21, $$(\frac{4}{3})^4 \cdot -7=\textcolor{white}{-22\frac{10}{81}}$$return {
["body"] = 21,
["id"] = "EWVmkR_0517_1451",
["obtiznost"] = 0.2548,
["reseni"] = {
["float"] = -22.123456790123,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1792,
["jmenovatel"] = 81 },
["render"] = "\\frac{-1792}{81}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{10}{81}",
["x"] = -22,
["y"] = 10,
["z"] = 81 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{4}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{3})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{4}{3})^4 \\cdot -7",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.13, bodu=14, $$\frac{6}{(-7 + 10)^2} + (-8)=\textcolor{white}{-7\frac{1}{3}}$$return {
["body"] = 14,
["id"] = "GoQbxK_0517_1451",
["obtiznost"] = 0.134,
["reseni"] = {
["float"] = -7.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 3 },
["render"] = "\\frac{-22}{3}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{3}",
["x"] = -7,
["y"] = 1,
["z"] = 3 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 10)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{(-7 + 10)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{(-7 + 10)^2} + (-8)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.14, bodu=7, $$6 \cdot (3 \cdot -11 - (-10))=\textcolor{white}{-138}$$return {
["body"] = 7,
["id"] = "bvWT4E_0517_1451",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -138,
["jmenovatel"] = 1 },
["render"] = "\\frac{-138}{1}",
["typ"] = "cislo" },
["tex"] = "-138",
["x"] = -138 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["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"] = "3 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3 \\cdot -11 - (-10)",
["typ"] = "minus" },
["render"] = "(3 \\cdot -11 - (-10))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (3 \\cdot -11 - (-10))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.15, bodu=28, $$(2\frac{4}{6} - 10 \cdot 12) \cdot -4=\textcolor{white}{469\frac{1}{3}}$$return {
["body"] = 28,
["id"] = "JJ08I5_0517_1451",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 469.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1408,
["jmenovatel"] = 3 },
["render"] = "\\frac{1408}{3}",
["typ"] = "cislo" },
["tex"] = "469\\frac{1}{3}",
["x"] = 469,
["y"] = 1,
["z"] = 3 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 \\cdot 12",
["typ"] = "krat" },
["render"] = "2\\frac{4}{6} - 10 \\cdot 12",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{6} - 10 \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{6} - 10 \\cdot 12) \\cdot -4",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.16, bodu=29, $$\frac{2\frac{2}{7} \cdot 3}{7}=\textcolor{white}{\frac{48}{49}}$$return {
["body"] = 29,
["id"] = "WGpf3A_0517_1451",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 0.97959183673469,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 49 },
["render"] = "\\frac{48}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{48}{49}",
["y"] = 48,
["z"] = 49 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7} \\cdot 3}{7}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.17, bodu=30, $$5 \cdot \frac{4\frac{1}{4}}{10}=\textcolor{white}{2{,}125}$$return {
["body"] = 30,
["id"] = "9Ohusl_0517_1451",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 2.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "\\frac{85}{40}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{8}",
["tex_float"] = "2{,}125",
["x"] = 2,
["y"] = 1,
["z"] = 8 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{4}}{10}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{4\\frac{1}{4}}{10}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.18, bodu=31, $$-13 \cdot 10 - (1\frac{1}{2} - (-7))=\textcolor{white}{-138{,}5}$$return {
["body"] = 31,
["id"] = "PwYd0u_0517_1451",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -138.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -277,
["jmenovatel"] = 2 },
["render"] = "\\frac{-277}{2}",
["typ"] = "cislo" },
["tex"] = "-138\\frac{1}{2}",
["tex_float"] = "-138{,}5",
["x"] = -138,
["y"] = 1,
["z"] = 2 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{2} - (-7)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{2} - (-7))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot 10 - (1\\frac{1}{2} - (-7))",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.19, bodu=17, $$6 + \frac{8}{4 - 10}=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 17,
["id"] = "dxj8Db_0517_1451",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{14}{3}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 - 10",
["typ"] = "minus" },
["render"] = "\\frac{8}{4 - 10}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{8}{4 - 10}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.2, bodu=32, $$\frac{-11}{-9 + 7} + 9 + 4\frac{4}{6}=\textcolor{white}{19\frac{1}{6}}$$return {
["body"] = 32,
["id"] = "selEzW_0517_1451",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 19.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115,
["jmenovatel"] = 6 },
["render"] = "\\frac{115}{6}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{6}",
["x"] = 19,
["y"] = 1,
["z"] = 6 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 + 7",
["typ"] = "plus" },
["render"] = "\\frac{-11}{-9 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-11}{-9 + 7} + 9 + 4\\frac{4}{6}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.21, bodu=36, $$-12 \cdot \frac{(-11 + 8)^4}{4\frac{1}{4}}=\textcolor{white}{-228\frac{12}{17}}$$return {
["body"] = 36,
["id"] = "DrYxUH_0517_1451",
["obtiznost"] = 0.4428,
["reseni"] = {
["float"] = -228.70588235294,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3888,
["jmenovatel"] = 17 },
["render"] = "\\frac{-3888}{17}",
["typ"] = "cislo" },
["tex"] = "-228\\frac{12}{17}",
["x"] = -228,
["y"] = 12,
["z"] = 17 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-11 + 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(-11 + 8)^4}{4\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{(-11 + 8)^4}{4\\frac{1}{4}}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.22, bodu=9, $$-7 \cdot 6 \cdot (6 + 9)=\textcolor{white}{-630}$$return {
["body"] = 9,
["id"] = "kpYu9m_0517_1451",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -630,
["jmenovatel"] = 1 },
["render"] = "\\frac{-630}{1}",
["typ"] = "cislo" },
["tex"] = "-630",
["tex_float"] = "-630",
["x"] = -630 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["render"] = "(6 + 9)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 6 \\cdot (6 + 9)",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.23, bodu=35, $$2\frac{4}{7} \cdot (\frac{6}{9})^2 - 13=\textcolor{white}{-11\frac{6}{7}}$$return {
["body"] = 35,
["id"] = "GvIyQy_0517_1451",
["obtiznost"] = 0.4352,
["reseni"] = {
["float"] = -11.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83,
["jmenovatel"] = 7 },
["render"] = "\\frac{-83}{7}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{6}{7}",
["x"] = -11,
["y"] = 6,
["z"] = 7 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{9})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{7} \\cdot (\\frac{6}{9})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} \\cdot (\\frac{6}{9})^2 - 13",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.24, bodu=20, $$\frac{11}{\frac{4}{6}} + 14=\textcolor{white}{30{,}5}$$return {
["body"] = 20,
["id"] = "QCwhYD_0517_1451",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 30.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 2 },
["render"] = "\\frac{61}{2}",
["typ"] = "cislo" },
["tex"] = "30\\frac{1}{2}",
["tex_float"] = "30{,}5",
["x"] = 30,
["y"] = 1,
["z"] = 2 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{11}{\\frac{4}{6}} + 14",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.25, bodu=21, $$\frac{11}{\frac{\frac{-11}{-4}}{3}}=\textcolor{white}{12}$$return {
["body"] = 21,
["id"] = "mijJ8J_0517_1451",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{132}{11}",
["typ"] = "cislo" },
["tex"] = "12",
["tex_float"] = "12",
["x"] = 12 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{-4}}{3}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{\\frac{-11}{-4}}{3}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.26, bodu=11, $$3 \cdot (9 + 11) \cdot (7 + (-13))^2=\textcolor{white}{2160}$$return {
["body"] = 11,
["id"] = "ZcK577_0517_1451",
["obtiznost"] = 0.2748,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2160,
["jmenovatel"] = 1 },
["render"] = "\\frac{2160}{1}",
["typ"] = "cislo" },
["tex"] = "2160",
["x"] = 2160 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["render"] = "(9 + 11)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (9 + 11)",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "3 \\cdot (9 + 11) \\cdot (7 + (-13))^2",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.27, bodu=22, $$\frac{\frac{8}{9}}{5} \cdot -8=\textcolor{white}{-1\frac{19}{45}}$$return {
["body"] = 22,
["id"] = "BzndCz_0517_1451",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -1.4222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 45 },
["render"] = "\\frac{-64}{45}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{19}{45}",
["x"] = -1,
["y"] = 19,
["z"] = 45 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{9}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{9}}{5} \\cdot -8",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.28, bodu=39, $$-8 \cdot 6 - 8 + 3\frac{1}{6} + (-7)=\textcolor{white}{-59\frac{5}{6}}$$return {
["body"] = 39,
["id"] = "xzjsc2_0517_1451",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -59.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -359,
["jmenovatel"] = 6 },
["render"] = "\\frac{-359}{6}",
["typ"] = "cislo" },
["tex"] = "-59\\frac{5}{6}",
["x"] = -59,
["y"] = 5,
["z"] = 6 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + (-7)",
["typ"] = "plus" },
["render"] = "-8 \\cdot 6 - 8 + 3\\frac{1}{6} + (-7)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.29, bodu=40, $$\frac{12 \cdot 11}{2\frac{2}{6}} \cdot 3=\textcolor{white}{169\frac{5}{7}}$$return {
["body"] = 40,
["id"] = "59GBfL_0517_1451",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 169.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1188,
["jmenovatel"] = 7 },
["render"] = "\\frac{1188}{7}",
["typ"] = "cislo" },
["tex"] = "169\\frac{5}{7}",
["x"] = 169,
["y"] = 5,
["z"] = 7 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 11}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 11}{2\\frac{2}{6}} \\cdot 3",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.3, bodu=41, $$-11 + \frac{13}{6} - (2\frac{5}{7} + 6)=\textcolor{white}{-17\frac{23}{42}}$$return {
["body"] = 41,
["id"] = "fpF5St_0517_1451",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -17.547619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -737,
["jmenovatel"] = 42 },
["render"] = "\\frac{-737}{42}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{23}{42}",
["x"] = -17,
["y"] = 23,
["z"] = 42 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-11 + \\frac{13}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 6",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{7} + 6)",
["typ"] = "zavorka" },
["render"] = "-11 + \\frac{13}{6} - (2\\frac{5}{7} + 6)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.31, bodu=42, $$-10 \cdot -6 \cdot 10 \cdot 4\frac{1}{4}=\textcolor{white}{2550}$$return {
["body"] = 42,
["id"] = "VvRQws_0517_1451",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2550,
["jmenovatel"] = 1 },
["render"] = "\\frac{5100}{2}",
["typ"] = "cislo" },
["tex"] = "2550",
["x"] = 2550 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "-10 \\cdot -6 \\cdot 10 \\cdot 4\\frac{1}{4}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.32, bodu=26, $$\frac{12 \cdot 9}{-10 - (-5)}=\textcolor{white}{-21{,}6}$$return {
["body"] = 26,
["id"] = "oJ1EHP_0517_1451",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -21.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 5 },
["render"] = "\\frac{108}{-5}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{3}{5}",
["tex_float"] = "-21{,}6",
["x"] = -21,
["y"] = 3,
["z"] = 5 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-10 - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot 9}{-10 - (-5)}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.33, bodu=13, $$-14 \cdot 9 \cdot (-11 + (-11))=\textcolor{white}{2772}$$return {
["body"] = 13,
["id"] = "FBUPVq_0517_1451",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2772,
["jmenovatel"] = 1 },
["render"] = "\\frac{2772}{1}",
["typ"] = "cislo" },
["tex"] = "2772",
["x"] = 2772 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 + (-11)",
["typ"] = "plus" },
["render"] = "(-11 + (-11))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot 9 \\cdot (-11 + (-11))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.34, bodu=27, $$\frac{6}{7} - (-7) + 8 + 8=\textcolor{white}{23\frac{6}{7}}$$return {
["body"] = 27,
["id"] = "tR5BqZ_0517_1451",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 23.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 167,
["jmenovatel"] = 7 },
["render"] = "\\frac{167}{7}",
["typ"] = "cislo" },
["tex"] = "23\\frac{6}{7}",
["x"] = 23,
["y"] = 6,
["z"] = 7 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7} - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "\\frac{6}{7} - (-7) + 8 + 8",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.35, bodu=68, $$\frac{11 - (2\frac{5}{8} + 3\frac{4}{7})}{8 + 11}=\textcolor{white}{\frac{269}{1064}}$$return {
["body"] = 68,
["id"] = "BKFeCf_0517_1451",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 0.25281954887218,
["objekt"] = {
["hodnota"] = {
["citatel"] = 269,
["jmenovatel"] = 1064 },
["render"] = "\\frac{269}{1064}",
["typ"] = "cislo" },
["tex"] = "\\frac{269}{1064}",
["y"] = 269,
["z"] = 1064 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{8} + 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "11 - (2\\frac{5}{8} + 3\\frac{4}{7})",
["typ"] = "minus" },
["c2"] = {
["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"] = "\\frac{11 - (2\\frac{5}{8} + 3\\frac{4}{7})}{8 + 11}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.36, bodu=29, $$\frac{12}{-7} + (-8 \cdot 7)=\textcolor{white}{-57\frac{5}{7}}$$return {
["body"] = 29,
["id"] = "ZxrTGV_0517_1451",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -57.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -404,
["jmenovatel"] = 7 },
["render"] = "\\frac{-404}{7}",
["typ"] = "cislo" },
["tex"] = "-57\\frac{5}{7}",
["x"] = -57,
["y"] = 5,
["z"] = 7 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{12}{-7} + (-8 \\cdot 7)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.37, bodu=30, $$14 + 12 \cdot \frac{14}{8}=\textcolor{white}{35}$$return {
["body"] = 30,
["id"] = "uWv5FI_0517_1451",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 1 },
["render"] = "\\frac{35}{1}",
["typ"] = "cislo" },
["tex"] = "35",
["tex_float"] = "35",
["x"] = 35 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14}{8}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{14}{8}",
["typ"] = "krat" },
["render"] = "14 + 12 \\cdot \\frac{14}{8}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.38, bodu=49, $$\frac{13}{4\frac{4}{10} - 12 - (-4)}=\textcolor{white}{-3\frac{11}{18}}$$return {
["body"] = 49,
["id"] = "K3z9wO_0517_1451",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -3.6111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 18 },
["render"] = "\\frac{65}{-18}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{11}{18}",
["x"] = -3,
["y"] = 11,
["z"] = 18 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 12 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{13}{4\\frac{4}{10} - 12 - (-4)}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.39, bodu=41, $$\frac{(-14 - (-10))^4}{-11} \cdot 13=\textcolor{white}{-302\frac{6}{11}}$$return {
["body"] = 41,
["id"] = "eqZYO8_0517_1451",
["obtiznost"] = 0.4928,
["reseni"] = {
["float"] = -302.54545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3328,
["jmenovatel"] = 11 },
["render"] = "\\frac{-3328}{11}",
["typ"] = "cislo" },
["tex"] = "-302\\frac{6}{11}",
["x"] = -302,
["y"] = 6,
["z"] = 11 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-14 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-14 - (-10))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 - (-10))^4}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 - (-10))^4}{-11} \\cdot 13",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.4, bodu=32, $$\frac{7}{\frac{11}{-9} \cdot (-8 - 10)}=\textcolor{white}{\frac{7}{22}}$$return {
["body"] = 32,
["id"] = "mys9Vm_0517_1451",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 0.31818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 22 },
["render"] = "\\frac{7}{22}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{22}",
["y"] = 7,
["z"] = 22 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 10",
["typ"] = "minus" },
["render"] = "(-8 - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{-9} \\cdot (-8 - 10)",
["typ"] = "krat" },
["render"] = "\\frac{7}{\\frac{11}{-9} \\cdot (-8 - 10)}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.41, bodu=33, $$\frac{\frac{-12 - 7}{\frac{5}{2}}}{6}=\textcolor{white}{-1\frac{4}{15}}$$return {
["body"] = 33,
["id"] = "8zVmWH_0517_1451",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -1.2666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 15 },
["render"] = "\\frac{-38}{30}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{4}{15}",
["x"] = -1,
["y"] = 4,
["z"] = 15 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 - 7}{\\frac{5}{2}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-12 - 7}{\\frac{5}{2}}}{6}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.42, bodu=76, $$\frac{13}{9 + 13} \cdot (2\frac{2}{5} - 2\frac{1}{6})=\textcolor{white}{\frac{91}{660}}$$return {
["body"] = 76,
["id"] = "kS5lkw_0517_1451",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 0.13787878787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 660 },
["render"] = "\\frac{91}{660}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{660}",
["y"] = 91,
["z"] = 660 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 + 13",
["typ"] = "plus" },
["render"] = "\\frac{13}{9 + 13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{5} - 2\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{9 + 13} \\cdot (2\\frac{2}{5} - 2\\frac{1}{6})",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.43, bodu=104, $$(2\frac{4}{6} + (-8) - 2\frac{3}{7}) \cdot (4 - 2\frac{2}{7})=\textcolor{white}{-13\frac{15}{49}}$$return {
["body"] = 104,
["id"] = "cqHtyl_0517_1451",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -13.30612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = -652,
["jmenovatel"] = 49 },
["render"] = "\\frac{-1956}{147}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{15}{49}",
["x"] = -13,
["y"] = 15,
["z"] = 49 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + (-8) - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{6} + (-8) - 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4 - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(4 - 2\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{6} + (-8) - 2\\frac{3}{7}) \\cdot (4 - 2\\frac{2}{7})",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.44, bodu=20, $$6 \cdot 11 \cdot (3 - 8)^3 - 7=\textcolor{white}{-8257}$$return {
["body"] = 20,
["id"] = "JQmhTX_0517_1451",
["obtiznost"] = 0.4904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8257,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8257}{1}",
["typ"] = "cislo" },
["tex"] = "-8257",
["x"] = -8257 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 8)^3",
["typ"] = "mocnina" },
["render"] = "11 \\cdot (3 - 8)^3",
["typ"] = "krat" },
["render"] = "6 \\cdot 11 \\cdot (3 - 8)^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11 \\cdot (3 - 8)^3 - 7",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.45, bodu=57, $$\frac{10}{2\frac{3}{9}} + \frac{-10}{-13} + 17=\textcolor{white}{22\frac{5}{91}}$$return {
["body"] = 57,
["id"] = "PHVncU_0517_1451",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 22.054945054945,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2007,
["jmenovatel"] = 91 },
["render"] = "\\frac{2007}{91}",
["typ"] = "cislo" },
["tex"] = "22\\frac{5}{91}",
["x"] = 22,
["y"] = 5,
["z"] = 91 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{2\\frac{3}{9}} + \\frac{-10}{-13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{3}{9}} + \\frac{-10}{-13} + 17",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.46, bodu=58, $$\frac{6 + 9 + (-4)}{5 + 2\frac{3}{7} - 13 + (-9)}=\textcolor{white}{-\frac{77}{102}}$$return {
["body"] = 58,
["id"] = "Bu3AuE_0517_1451",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -0.75490196078431,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 102 },
["render"] = "\\frac{77}{-102}",
["typ"] = "cislo" },
["tex"] = "-\\frac{77}{102}",
["y"] = -77,
["z"] = 102 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "9 + (-4)",
["typ"] = "plus" },
["render"] = "6 + 9 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{3}{7} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{3}{7} - 13 + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{6 + 9 + (-4)}{5 + 2\\frac{3}{7} - 13 + (-9)}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.47, bodu=95, $$8 - (10 - (-10)) - (-16 - (-9) + 2\frac{5}{10})^3=\textcolor{white}{79{,}125}$$return {
["body"] = 95,
["id"] = "5GvYDP_0517_1451",
["obtiznost"] = 0.9648,
["reseni"] = {
["float"] = 79.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 633,
["jmenovatel"] = 8 },
["render"] = "\\frac{633}{8}",
["typ"] = "cislo" },
["tex"] = "79\\frac{1}{8}",
["tex_float"] = "79{,}125",
["x"] = 79,
["y"] = 1,
["z"] = 8 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - (-10)",
["typ"] = "minus" },
["render"] = "(10 - (-10))",
["typ"] = "zavorka" },
["render"] = "8 - (10 - (-10))",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-16 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-16 - (-9) + 2\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-16 - (-9) + 2\\frac{5}{10})^3",
["typ"] = "mocnina" },
["render"] = "8 - (10 - (-10)) - (-16 - (-9) + 2\\frac{5}{10})^3",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.48, bodu=60, $$-11 \cdot (-10 + \frac{1\frac{2}{9}}{\frac{-6}{11}})=\textcolor{white}{134\frac{35}{54}}$$return {
["body"] = 60,
["id"] = "b7jIZ2_0517_1451",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 134.64814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7271,
["jmenovatel"] = 54 },
["render"] = "\\frac{7271}{54}",
["typ"] = "cislo" },
["tex"] = "134\\frac{35}{54}",
["x"] = 134,
["y"] = 35,
["z"] = 54 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{9}}{\\frac{-6}{11}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{1\\frac{2}{9}}{\\frac{-6}{11}}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{1\\frac{2}{9}}{\\frac{-6}{11}})",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (-10 + \\frac{1\\frac{2}{9}}{\\frac{-6}{11}})",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.49, bodu=163, $$\frac{17}{(1\frac{2}{3} + 8)^2} \cdot 4\frac{3}{6} \cdot 3\frac{3}{10}=\textcolor{white}{2\frac{11801}{16820}}$$return {
["body"] = 163,
["id"] = "FdP2tU_0517_1451",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 2.7016052318668,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45441,
["jmenovatel"] = 16820 },
["render"] = "\\frac{45441}{16820}",
["typ"] = "cislo" },
["tex"] = "2\\frac{11801}{16820}",
["x"] = 2,
["y"] = 11801,
["z"] = 16820 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{3} + 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{17}{(1\\frac{2}{3} + 8)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} \\cdot 3\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{17}{(1\\frac{2}{3} + 8)^2} \\cdot 4\\frac{3}{6} \\cdot 3\\frac{3}{10}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.5, bodu=62, $$\frac{-15 \cdot 11}{4\frac{1}{4} \cdot -8}=\textcolor{white}{4\frac{29}{34}}$$return {
["body"] = 62,
["id"] = "F79mcW_0517_1451",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 4.8529411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 165,
["jmenovatel"] = 34 },
["render"] = "\\frac{-165}{-34}",
["typ"] = "cislo" },
["tex"] = "4\\frac{29}{34}",
["x"] = 4,
["y"] = 29,
["z"] = 34 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{-15 \\cdot 11}{4\\frac{1}{4} \\cdot -8}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.51, bodu=88, $$\frac{3\frac{3}{9} + (-13)}{\frac{-8}{4\frac{4}{8} \cdot 12}}=\textcolor{white}{65{,}25}$$return {
["body"] = 88,
["id"] = "eQyXmL_0517_1451",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 65.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 261,
["jmenovatel"] = 4 },
["render"] = "\\frac{-783}{-12}",
["typ"] = "cislo" },
["tex"] = "65\\frac{1}{4}",
["tex_float"] = "65{,}25",
["x"] = 65,
["y"] = 1,
["z"] = 4 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{-8}{4\\frac{4}{8} \\cdot 12}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{9} + (-13)}{\\frac{-8}{4\\frac{4}{8} \\cdot 12}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.52, bodu=116, $$1\frac{3}{10} + 1\frac{4}{8} - \frac{2\frac{2}{7} \cdot 13}{-11}=\textcolor{white}{5\frac{193}{385}}$$return {
["body"] = 116,
["id"] = "82gmSP_0517_1451",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 5.5012987012987,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2118,
["jmenovatel"] = 385 },
["render"] = "\\frac{2118}{385}",
["typ"] = "cislo" },
["tex"] = "5\\frac{193}{385}",
["x"] = 5,
["y"] = 193,
["z"] = 385 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7} \\cdot 13}{-11}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{10} + 1\\frac{4}{8} - \\frac{2\\frac{2}{7} \\cdot 13}{-11}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.53, bodu=44, $$(17 + 3) \cdot -12 \cdot \frac{-8}{-5}=\textcolor{white}{-384}$$return {
["body"] = 44,
["id"] = "Dic8PE_0517_1451",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -384,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1920}{5}",
["typ"] = "cislo" },
["tex"] = "-384",
["x"] = -384 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "17 + 3",
["typ"] = "plus" },
["render"] = "(17 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-5}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{-8}{-5}",
["typ"] = "krat" },
["render"] = "(17 + 3) \\cdot -12 \\cdot \\frac{-8}{-5}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.54, bodu=92, $$\frac{4\frac{1}{7} + 12}{\frac{9}{-13} - 2\frac{4}{8}}=\textcolor{white}{-5\frac{33}{581}}$$return {
["body"] = 92,
["id"] = "PHkV4u_0517_1451",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -5.0567986230637,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2938,
["jmenovatel"] = 581 },
["render"] = "\\frac{2938}{-581}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{33}{581}",
["x"] = -5,
["y"] = 33,
["z"] = 581 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-13} - 2\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{7} + 12}{\\frac{9}{-13} - 2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.55, bodu=93, $$(8 + 2\frac{4}{12}) \cdot 1\frac{3}{9} - (6 - 8)=\textcolor{white}{15\frac{7}{9}}$$return {
["body"] = 93,
["id"] = "fFevzy_0517_1451",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 15.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 142,
["jmenovatel"] = 9 },
["render"] = "\\frac{142}{9}",
["typ"] = "cislo" },
["tex"] = "15\\frac{7}{9}",
["x"] = 15,
["y"] = 7,
["z"] = 9 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "8 + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(8 + 2\\frac{4}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(8 + 2\\frac{4}{12}) \\cdot 1\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["render"] = "(6 - 8)",
["typ"] = "zavorka" },
["render"] = "(8 + 2\\frac{4}{12}) \\cdot 1\\frac{3}{9} - (6 - 8)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.56, bodu=90, $$\frac{-7 + (\frac{-13}{16})^2}{1\frac{5}{8} - 11}=\textcolor{white}{\frac{541}{800}}$$return {
["body"] = 90,
["id"] = "giZQue_0517_1451",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 0.67625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 541,
["jmenovatel"] = 800 },
["render"] = "\\frac{-12984}{-19200}",
["typ"] = "cislo" },
["tex"] = "\\frac{541}{800}",
["y"] = 541,
["z"] = 800 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{16})^2",
["typ"] = "mocnina" },
["render"] = "-7 + (\\frac{-13}{16})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 11",
["typ"] = "minus" },
["render"] = "\\frac{-7 + (\\frac{-13}{16})^2}{1\\frac{5}{8} - 11}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.57, bodu=70, $$\frac{16 - (-13 \cdot -8)}{-9} - 1\frac{4}{11}=\textcolor{white}{8\frac{41}{99}}$$return {
["body"] = 70,
["id"] = "szVfMK_0517_1451",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 8.4141414141414,
["objekt"] = {
["hodnota"] = {
["citatel"] = 833,
["jmenovatel"] = 99 },
["render"] = "\\frac{833}{99}",
["typ"] = "cislo" },
["tex"] = "8\\frac{41}{99}",
["x"] = 8,
["y"] = 41,
["z"] = 99 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -8",
["typ"] = "krat" },
["render"] = "16 - (-13 \\cdot -8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{16 - (-13 \\cdot -8)}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{16 - (-13 \\cdot -8)}{-9} - 1\\frac{4}{11}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.58, bodu=97, $$(13 - 15)^3 \cdot -16 \cdot 4\frac{3}{9} + 2\frac{4}{6}=\textcolor{white}{557\frac{1}{3}}$$return {
["body"] = 97,
["id"] = "5K0MUD_0517_1451",
["obtiznost"] = 0.9836,
["reseni"] = {
["float"] = 557.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1672,
["jmenovatel"] = 3 },
["render"] = "\\frac{1672}{3}",
["typ"] = "cislo" },
["tex"] = "557\\frac{1}{3}",
["x"] = 557,
["y"] = 1,
["z"] = 3 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 - 15",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "(13 - 15)^3 \\cdot -16 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(13 - 15)^3 \\cdot -16 \\cdot 4\\frac{3}{9} + 2\\frac{4}{6}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.59, bodu=98, $$4\frac{4}{8} + 16 - (4\frac{4}{6} + 10) \cdot (-11 - 15)=\textcolor{white}{401\frac{5}{6}}$$return {
["body"] = 98,
["id"] = "E71yY1_0517_1451",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 401.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2411,
["jmenovatel"] = 6 },
["render"] = "\\frac{2411}{6}",
["typ"] = "cislo" },
["tex"] = "401\\frac{5}{6}",
["x"] = 401,
["y"] = 5,
["z"] = 6 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{6} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 - 15",
["typ"] = "minus" },
["render"] = "(-11 - 15)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{6} + 10) \\cdot (-11 - 15)",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} + 16 - (4\\frac{4}{6} + 10) \\cdot (-11 - 15)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.6, bodu=128, $$(2\frac{3}{4} + 4\frac{3}{7}) \cdot (10 + 3\frac{5}{9} - 9 - (-13))=\textcolor{white}{126\frac{1}{42}}$$return {
["body"] = 128,
["id"] = "jxIycs_0517_1451",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 126.02380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5293,
["jmenovatel"] = 42 },
["render"] = "\\frac{31758}{252}",
["typ"] = "cislo" },
["tex"] = "126\\frac{1}{42}",
["x"] = 126,
["y"] = 1,
["z"] = 42 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{4} + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 9 - (-13)",
["typ"] = "minus" },
["render"] = "10 + 3\\frac{5}{9} - 9 - (-13)",
["typ"] = "plus" },
["render"] = "(10 + 3\\frac{5}{9} - 9 - (-13))",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{4} + 4\\frac{3}{7}) \\cdot (10 + 3\\frac{5}{9} - 9 - (-13))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.61, bodu=75, $$\frac{3\frac{1}{5} - (-14 + (-2))}{13 \cdot -13} - 2=\textcolor{white}{-2\frac{96}{845}}$$return {
["body"] = 75,
["id"] = "LgYw70_0517_1451",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -2.1136094674556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1786,
["jmenovatel"] = 845 },
["render"] = "\\frac{-1786}{845}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{96}{845}",
["x"] = -2,
["y"] = 96,
["z"] = 845 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "-14 + (-2)",
["typ"] = "plus" },
["render"] = "(-14 + (-2))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} - (-14 + (-2))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{5} - (-14 + (-2))}{13 \\cdot -13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5} - (-14 + (-2))}{13 \\cdot -13} - 2",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.62, bodu=76, $$\frac{1\frac{3}{7}}{11} - (-11 \cdot -8 \cdot -8)=\textcolor{white}{704\frac{10}{77}}$$return {
["body"] = 76,
["id"] = "9ILoMn_0517_1451",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 704.12987012987,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54218,
["jmenovatel"] = 77 },
["render"] = "\\frac{54218}{77}",
["typ"] = "cislo" },
["tex"] = "704\\frac{10}{77}",
["x"] = 704,
["y"] = 10,
["z"] = 77 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -8",
["typ"] = "krat" },
["render"] = "-11 \\cdot -8 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{7}}{11} - (-11 \\cdot -8 \\cdot -8)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.63, bodu=104, $$3\frac{1}{5} \cdot -11 - (1\frac{1}{8} + 7 \cdot 16) - (-9)=\textcolor{white}{-139{,}325}$$return {
["body"] = 104,
["id"] = "CK8ANM_0517_1451",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -139.325,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5573,
["jmenovatel"] = 40 },
["render"] = "\\frac{-5573}{40}",
["typ"] = "cislo" },
["tex"] = "-139\\frac{13}{40}",
["tex_float"] = "-139{,}325",
["x"] = -139,
["y"] = 13,
["z"] = 40 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "7 \\cdot 16",
["typ"] = "krat" },
["render"] = "1\\frac{1}{8} + 7 \\cdot 16",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{8} + 7 \\cdot 16)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} \\cdot -11 - (1\\frac{1}{8} + 7 \\cdot 16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot -11 - (1\\frac{1}{8} + 7 \\cdot 16) - (-9)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.64, bodu=45, $$(-8 - (-9))^4 + (4 \cdot 5)^2 + (-4 - 14)^2=\textcolor{white}{725}$$return {
["body"] = 45,
["id"] = "za4g2p_0517_1451",
["obtiznost"] = 0.9312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 725,
["jmenovatel"] = 1 },
["render"] = "\\frac{725}{1}",
["typ"] = "cislo" },
["tex"] = "725",
["x"] = 725 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4 \\cdot 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-4 - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - 14)^2",
["typ"] = "mocnina" },
["render"] = "(4 \\cdot 5)^2 + (-4 - 14)^2",
["typ"] = "plus" },
["render"] = "(-8 - (-9))^4 + (4 \\cdot 5)^2 + (-4 - 14)^2",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.65, bodu=135, $$2\frac{4}{11} + \frac{1\frac{5}{12}}{19} + 1\frac{1}{9} + (-6 \cdot -9)=\textcolor{white}{57\frac{4133}{7524}}$$return {
["body"] = 135,
["id"] = "eSIffz_0517_1451",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 57.549308878256,
["objekt"] = {
["hodnota"] = {
["citatel"] = 433001,
["jmenovatel"] = 7524 },
["render"] = "\\frac{433001}{7524}",
["typ"] = "cislo" },
["tex"] = "57\\frac{4133}{7524}",
["x"] = 57,
["y"] = 4133,
["z"] = 7524 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12}}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12}}{19} + 1\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "2\\frac{4}{11} + \\frac{1\\frac{5}{12}}{19} + 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -9",
["typ"] = "krat" },
["render"] = "2\\frac{4}{11} + \\frac{1\\frac{5}{12}}{19} + 1\\frac{1}{9} + (-6 \\cdot -9)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.66, bodu=108, $$\frac{1\frac{5}{7} + 9 + \frac{1\frac{1}{6}}{3} + (-10 + (-9))}{-17}=\textcolor{white}{\frac{995}{2142}}$$return {
["body"] = 108,
["id"] = "qZKcUU_0517_1451",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 0.46451914098973,
["objekt"] = {
["hodnota"] = {
["citatel"] = 995,
["jmenovatel"] = 2142 },
["render"] = "\\frac{-995}{-2142}",
["typ"] = "cislo" },
["tex"] = "\\frac{995}{2142}",
["y"] = 995,
["z"] = 2142 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{3}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{7} + 9 + \\frac{1\\frac{1}{6}}{3}",
["typ"] = "plus" },
["c2"] = {
["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"] = "1\\frac{5}{7} + 9 + \\frac{1\\frac{1}{6}}{3} + (-10 + (-9))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{7} + 9 + \\frac{1\\frac{1}{6}}{3} + (-10 + (-9))}{-17}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.67, bodu=104, $$\frac{8 \cdot (12 + 17)^2}{(\frac{8}{-14})^2}=\textcolor{white}{20604{,}5}$$return {
["body"] = 104,
["id"] = "zGNSUR_0517_1451",
["obtiznost"] = 1.0328,
["reseni"] = {
["float"] = 20604.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41209,
["jmenovatel"] = 2 },
["render"] = "\\frac{329672}{16}",
["typ"] = "cislo" },
["tex"] = "20604\\frac{1}{2}",
["tex_float"] = "20604{,}5",
["x"] = 20604,
["y"] = 1,
["z"] = 2 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "12 + 17",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 17)^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (12 + 17)^2",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-14})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 \\cdot (12 + 17)^2}{(\\frac{8}{-14})^2}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.68, bodu=84, $$2\frac{2}{5} \cdot (-10 \cdot 10 - (-18)) \cdot -4=\textcolor{white}{787{,}2}$$return {
["body"] = 84,
["id"] = "xBXuVt_0517_1451",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 787.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3936,
["jmenovatel"] = 5 },
["render"] = "\\frac{3936}{5}",
["typ"] = "cislo" },
["tex"] = "787\\frac{1}{5}",
["tex_float"] = "787{,}2",
["x"] = 787,
["y"] = 1,
["z"] = 5 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 10 - (-18)",
["typ"] = "minus" },
["render"] = "(-10 \\cdot 10 - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-10 \\cdot 10 - (-18)) \\cdot -4",
["typ"] = "krat" },
["render"] = "2\\frac{2}{5} \\cdot (-10 \\cdot 10 - (-18)) \\cdot -4",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.69, bodu=141, $$9 \cdot 3\frac{4}{6} \cdot 2\frac{3}{5} \cdot (3 + 4\frac{1}{5} - (-9))=\textcolor{white}{1389{,}96}$$return {
["body"] = 141,
["id"] = "e08H7o_0517_1451",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 1389.96,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34749,
["jmenovatel"] = 25 },
["render"] = "\\frac{34749}{25}",
["typ"] = "cislo" },
["tex"] = "1389\\frac{24}{25}",
["tex_float"] = "1389{,}96",
["x"] = 1389,
["y"] = 24,
["z"] = 25 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.69",
["zadani"] = {
["c1"] = {
["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"] = "9 \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{4}{6} \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - (-9)",
["typ"] = "minus" },
["render"] = "3 + 4\\frac{1}{5} - (-9)",
["typ"] = "plus" },
["render"] = "(3 + 4\\frac{1}{5} - (-9))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot 3\\frac{4}{6} \\cdot 2\\frac{3}{5} \\cdot (3 + 4\\frac{1}{5} - (-9))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.7, bodu=117, $$\frac{(-11 + 15)^3}{-15 - 4\frac{4}{6}} \cdot \frac{2\frac{4}{6}}{10}=\textcolor{white}{-\frac{256}{295}}$$return {
["body"] = 117,
["id"] = "Ubyvhy_0517_1451",
["obtiznost"] = 1.126,
["reseni"] = {
["float"] = -0.86779661016949,
["objekt"] = {
["hodnota"] = {
["citatel"] = -256,
["jmenovatel"] = 295 },
["render"] = "\\frac{-768}{885}",
["typ"] = "cislo" },
["tex"] = "-\\frac{256}{295}",
["y"] = -256,
["z"] = 295 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 + 15",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-15 - 4\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{(-11 + 15)^3}{-15 - 4\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{6}}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-11 + 15)^3}{-15 - 4\\frac{4}{6}} \\cdot \\frac{2\\frac{4}{6}}{10}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.71, bodu=115, $$\frac{10 + (-7)}{3\frac{4}{7}} \cdot (3 \cdot 2\frac{1}{8} + (-12))=\textcolor{white}{-4{,}725}$$return {
["body"] = 115,
["id"] = "d46Pm6_0517_1451",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -4.725,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 40 },
["render"] = "\\frac{-945}{200}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{29}{40}",
["tex_float"] = "-4{,}725",
["x"] = -4,
["y"] = 29,
["z"] = 40 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 + (-7)}{3\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 2\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3 \\cdot 2\\frac{1}{8} + (-12)",
["typ"] = "plus" },
["render"] = "(3 \\cdot 2\\frac{1}{8} + (-12))",
["typ"] = "zavorka" },
["render"] = "\\frac{10 + (-7)}{3\\frac{4}{7}} \\cdot (3 \\cdot 2\\frac{1}{8} + (-12))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.72, bodu=92, $$\frac{(\frac{10}{-12})^2 \cdot -15 - 11}{3\frac{2}{4}}=\textcolor{white}{-6\frac{5}{42}}$$return {
["body"] = 92,
["id"] = "7H9VBL_0517_1451",
["obtiznost"] = 0.9444,
["reseni"] = {
["float"] = -6.1190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -257,
["jmenovatel"] = 42 },
["render"] = "\\frac{-514}{84}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{5}{42}",
["x"] = -6,
["y"] = 5,
["z"] = 42 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(\\frac{10}{-12})^2 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(\\frac{10}{-12})^2 \\cdot -15 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{10}{-12})^2 \\cdot -15 - 11}{3\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.73, bodu=90, $$-12 + (-8 \cdot 9) - \frac{2\frac{3}{6} + 18}{8}=\textcolor{white}{-86\frac{9}{16}}$$return {
["body"] = 90,
["id"] = "BWZjr6_0517_1451",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -86.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1385,
["jmenovatel"] = 16 },
["render"] = "\\frac{-1385}{16}",
["typ"] = "cislo" },
["tex"] = "-86\\frac{9}{16}",
["x"] = -86,
["y"] = 9,
["z"] = 16 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["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"] = "-12 + (-8 \\cdot 9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6} + 18}{8}",
["typ"] = "lomeno" },
["render"] = "-12 + (-8 \\cdot 9) - \\frac{2\\frac{3}{6} + 18}{8}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.74, bodu=92, $$\frac{\frac{1\frac{2}{6}}{\frac{7}{-15}} - 11}{12}=\textcolor{white}{-1\frac{13}{84}}$$return {
["body"] = 92,
["id"] = "xKmLgF_0517_1451",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -1.1547619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -97,
["jmenovatel"] = 84 },
["render"] = "\\frac{-97}{84}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{84}",
["x"] = -1,
["y"] = 13,
["z"] = 84 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{6}}{\\frac{7}{-15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{\\frac{7}{-15}} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{2}{6}}{\\frac{7}{-15}} - 11}{12}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.75, bodu=34, $$-15 - 14 + (-17 \cdot -5 + (-8) - 9)=\textcolor{white}{39}$$return {
["body"] = 34,
["id"] = "fsWg5c_0517_1451",
["obtiznost"] = 0.75,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 1 },
["render"] = "\\frac{39}{1}",
["typ"] = "cislo" },
["tex"] = "39",
["tex_float"] = "39",
["x"] = 39 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-15 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -5 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -5 + (-8) - 9",
["typ"] = "minus" },
["render"] = "-15 - 14 + (-17 \\cdot -5 + (-8) - 9)",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.76, bodu=122, $$\frac{2\frac{5}{9}}{\frac{3}{-21}} - (3\frac{2}{7} - (-14))=\textcolor{white}{-35\frac{11}{63}}$$return {
["body"] = 122,
["id"] = "pQmbQI_0517_1451",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -35.174603174603,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2216,
["jmenovatel"] = 63 },
["render"] = "\\frac{-2216}{63}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{11}{63}",
["x"] = -35,
["y"] = 11,
["z"] = 63 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-21}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{9}}{\\frac{3}{-21}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - (-14)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - (-14))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{9}}{\\frac{3}{-21}} - (3\\frac{2}{7} - (-14))",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.77, bodu=154, $$\frac{2\frac{1}{7} + 10 - (12 + 4) - (4\frac{3}{7} - 4\frac{1}{5})}{15}=\textcolor{white}{-\frac{143}{525}}$$return {
["body"] = 154,
["id"] = "SwKYqz_0517_1451",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -0.27238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 525 },
["render"] = "\\frac{-143}{525}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{525}",
["y"] = -143,
["z"] = 525 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 + 4",
["typ"] = "plus" },
["render"] = "(12 + 4)",
["typ"] = "zavorka" },
["render"] = "10 - (12 + 4)",
["typ"] = "minus" },
["render"] = "2\\frac{1}{7} + 10 - (12 + 4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 4\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} - 4\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} + 10 - (12 + 4) - (4\\frac{3}{7} - 4\\frac{1}{5})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7} + 10 - (12 + 4) - (4\\frac{3}{7} - 4\\frac{1}{5})}{15}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.78, bodu=97, $$\frac{9}{4\frac{5}{7}} \cdot 10 \cdot (15 + 12)=\textcolor{white}{515\frac{5}{11}}$$return {
["body"] = 97,
["id"] = "Ax37Go_0517_1451",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 515.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5670,
["jmenovatel"] = 11 },
["render"] = "\\frac{5670}{11}",
["typ"] = "cislo" },
["tex"] = "515\\frac{5}{11}",
["x"] = 515,
["y"] = 5,
["z"] = 11 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{7}} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "15 + 12",
["typ"] = "plus" },
["render"] = "(15 + 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{4\\frac{5}{7}} \\cdot 10 \\cdot (15 + 12)",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.79, bodu=99, $$\frac{11}{16} \cdot (1\frac{5}{12} - (-8)) \cdot (-14 + 12)^4=\textcolor{white}{103\frac{7}{12}}$$return {
["body"] = 99,
["id"] = "Jqc1rk_0517_1451",
["obtiznost"] = 0.9968,
["reseni"] = {
["float"] = 103.58333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1243,
["jmenovatel"] = 12 },
["render"] = "\\frac{19888}{192}",
["typ"] = "cislo" },
["tex"] = "103\\frac{7}{12}",
["x"] = 103,
["y"] = 7,
["z"] = 12 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{16}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - (-8)",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - (-8))",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{16} \\cdot (1\\frac{5}{12} - (-8))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-14 + 12)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{16} \\cdot (1\\frac{5}{12} - (-8)) \\cdot (-14 + 12)^4",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.8, bodu=175, $$\frac{(1\frac{5}{12} + (\frac{13}{3\frac{2}{8}})^4 + 9) \cdot 19}{4\frac{5}{13}}=\textcolor{white}{1154\frac{17}{36}}$$return {
["body"] = 175,
["id"] = "0lzQzU_0517_1451",
["obtiznost"] = 1.5028,
["reseni"] = {
["float"] = 1154.4722222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41561,
["jmenovatel"] = 36 },
["render"] = "\\frac{789659}{684}",
["typ"] = "cislo" },
["tex"] = "1154\\frac{17}{36}",
["x"] = 1154,
["y"] = 17,
["z"] = 36 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{13}{3\\frac{2}{8}})^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{5}{12} + (\\frac{13}{3\\frac{2}{8}})^4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + (\\frac{13}{3\\frac{2}{8}})^4 + 9",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + (\\frac{13}{3\\frac{2}{8}})^4 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} + (\\frac{13}{3\\frac{2}{8}})^4 + 9) \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{5}{12} + (\\frac{13}{3\\frac{2}{8}})^4 + 9) \\cdot 19}{4\\frac{5}{13}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.81, bodu=131, $$-14 - \frac{2\frac{2}{9}}{13} - ((-20 - (-14))^2 + 12) - 4\frac{1}{5}=\textcolor{white}{-66\frac{217}{585}}$$return {
["body"] = 131,
["id"] = "LQTlX5_0517_1451",
["obtiznost"] = 1.2248,
["reseni"] = {
["float"] = -66.37094017094,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38827,
["jmenovatel"] = 585 },
["render"] = "\\frac{-38827}{585}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{217}{585}",
["x"] = -66,
["y"] = 217,
["z"] = 585 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{13}",
["typ"] = "lomeno" },
["render"] = "-14 - \\frac{2\\frac{2}{9}}{13}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-20 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-20 - (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-20 - (-14))^2 + 12",
["typ"] = "plus" },
["render"] = "((-20 - (-14))^2 + 12)",
["typ"] = "zavorka" },
["render"] = "-14 - \\frac{2\\frac{2}{9}}{13} - ((-20 - (-14))^2 + 12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-14 - \\frac{2\\frac{2}{9}}{13} - ((-20 - (-14))^2 + 12) - 4\\frac{1}{5}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.82, bodu=230, $$\frac{1\frac{1}{9}}{\frac{4\frac{2}{6} + 4\frac{4}{10}}{1\frac{3}{7}} + 2\frac{3}{11} \cdot 16}=\textcolor{white}{\frac{5500}{210261}}$$return {
["body"] = 230,
["id"] = "27PddH_0517_1451",
["obtiznost"] = 1.82,
["reseni"] = {
["float"] = 0.026157965576117,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5500,
["jmenovatel"] = 210261 },
["render"] = "\\frac{16500}{630783}",
["typ"] = "cislo" },
["tex"] = "\\frac{5500}{210261}",
["y"] = 5500,
["z"] = 210261 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6} + 4\\frac{4}{10}}{1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{6} + 4\\frac{4}{10}}{1\\frac{3}{7}} + 2\\frac{3}{11} \\cdot 16",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{9}}{\\frac{4\\frac{2}{6} + 4\\frac{4}{10}}{1\\frac{3}{7}} + 2\\frac{3}{11} \\cdot 16}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.83, bodu=197, $$\frac{2\frac{2}{10} - 3\frac{1}{11} - 19}{-3} + \frac{3\frac{5}{13}}{4\frac{4}{6}}=\textcolor{white}{7\frac{5339}{15015}}$$return {
["body"] = 197,
["id"] = "EOXDb1_0517_1451",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = 7.3555777555778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 110444,
["jmenovatel"] = 15015 },
["render"] = "\\frac{110444}{15015}",
["typ"] = "cislo" },
["tex"] = "7\\frac{5339}{15015}",
["x"] = 7,
["y"] = 5339,
["z"] = 15015 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} - 3\\frac{1}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} - 3\\frac{1}{11} - 19",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{10} - 3\\frac{1}{11} - 19}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{4\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{10} - 3\\frac{1}{11} - 19}{-3} + \\frac{3\\frac{5}{13}}{4\\frac{4}{6}}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.84, bodu=136, $$-13 - ((-9 + 13)^3 + 4\frac{1}{7}) \cdot (\frac{-16}{-7} + (-3))^3=\textcolor{white}{11\frac{2001}{2401}}$$return {
["body"] = 136,
["id"] = "aDdLvU_0517_1451",
["obtiznost"] = 1.2532,
["reseni"] = {
["float"] = 11.833402748855,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28412,
["jmenovatel"] = 2401 },
["render"] = "\\frac{28412}{2401}",
["typ"] = "cislo" },
["tex"] = "11\\frac{2001}{2401}",
["x"] = 11,
["y"] = 2001,
["z"] = 2401 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-9 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-9 + 13)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(-9 + 13)^3 + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "((-9 + 13)^3 + 4\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-7} + (-3)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{-16}{-7} + (-3))^3",
["typ"] = "mocnina" },
["render"] = "((-9 + 13)^3 + 4\\frac{1}{7}) \\cdot (\\frac{-16}{-7} + (-3))^3",
["typ"] = "krat" },
["render"] = "-13 - ((-9 + 13)^3 + 4\\frac{1}{7}) \\cdot (\\frac{-16}{-7} + (-3))^3",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.85, bodu=190, $$\frac{\frac{-13}{-13} + 14 + (12 - 2\frac{3}{9})^2}{-17 + 2\frac{4}{10}}=\textcolor{white}{-7\frac{281}{657}}$$return {
["body"] = 190,
["id"] = "aWVCTq_0517_1451",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -7.427701674277,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4880,
["jmenovatel"] = 657 },
["render"] = "\\frac{4880}{-657}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{281}{657}",
["x"] = -7,
["y"] = 281,
["z"] = 657 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{3}{9}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 2\\frac{3}{9})^2",
["typ"] = "mocnina" },
["render"] = "14 + (12 - 2\\frac{3}{9})^2",
["typ"] = "plus" },
["render"] = "\\frac{-13}{-13} + 14 + (12 - 2\\frac{3}{9})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-17 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-13}{-13} + 14 + (12 - 2\\frac{3}{9})^2}{-17 + 2\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.86, bodu=168, $$3\frac{3}{8} + (-17) - \frac{\frac{5}{7}}{4\frac{2}{8} \cdot 1\frac{1}{9}}=\textcolor{white}{-13\frac{739}{952}}$$return {
["body"] = 168,
["id"] = "gpwA48_0517_1451",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -13.776260504202,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13115,
["jmenovatel"] = 952 },
["render"] = "\\frac{-13115}{952}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{739}{952}",
["x"] = -13,
["y"] = 739,
["z"] = 952 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 1\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{5}{7}}{4\\frac{2}{8} \\cdot 1\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} + (-17) - \\frac{\\frac{5}{7}}{4\\frac{2}{8} \\cdot 1\\frac{1}{9}}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.87, bodu=204, $$((\frac{-13}{4\frac{3}{9}})^2 - (-11) - 3\frac{4}{8}) \cdot (4\frac{1}{4} + 2\frac{1}{8} - 8)=\textcolor{white}{-26\frac{13}{16}}$$return {
["body"] = 204,
["id"] = "0UfZfF_0517_1451",
["obtiznost"] = 1.674,
["reseni"] = {
["float"] = -26.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -429,
["jmenovatel"] = 16 },
["render"] = "\\frac{-429}{16}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{13}{16}",
["x"] = -26,
["y"] = 13,
["z"] = 16 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{4\\frac{3}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{-13}{4\\frac{3}{9}})^2 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{-13}{4\\frac{3}{9}})^2 - (-11) - 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "((\\frac{-13}{4\\frac{3}{9}})^2 - (-11) - 3\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - 8",
["typ"] = "minus" },
["render"] = "4\\frac{1}{4} + 2\\frac{1}{8} - 8",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + 2\\frac{1}{8} - 8)",
["typ"] = "zavorka" },
["render"] = "((\\frac{-13}{4\\frac{3}{9}})^2 - (-11) - 3\\frac{4}{8}) \\cdot (4\\frac{1}{4} + 2\\frac{1}{8} - 8)",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.88, bodu=140, $$\frac{-12}{3\frac{4}{8}} \cdot 23 - \frac{2\frac{3}{9}}{1\frac{2}{2} + 10}=\textcolor{white}{-79\frac{13}{252}}$$return {
["body"] = 140,
["id"] = "RYbBpp_0517_1451",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -79.051587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19921,
["jmenovatel"] = 252 },
["render"] = "\\frac{-19921}{252}",
["typ"] = "cislo" },
["tex"] = "-79\\frac{13}{252}",
["x"] = -79,
["y"] = 13,
["z"] = 252 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{3\\frac{4}{8}} \\cdot 23",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{2} + 10",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{9}}{1\\frac{2}{2} + 10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{3\\frac{4}{8}} \\cdot 23 - \\frac{2\\frac{3}{9}}{1\\frac{2}{2} + 10}",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.89, bodu=141, $$9 \cdot (3\frac{4}{10} \cdot -12 - (4\frac{5}{13} - (5 - 14)))=\textcolor{white}{-487\frac{43}{65}}$$return {
["body"] = 141,
["id"] = "jDrahn_0517_1451",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -487.66153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31698,
["jmenovatel"] = 65 },
["render"] = "\\frac{-31698}{65}",
["typ"] = "cislo" },
["tex"] = "-487\\frac{43}{65}",
["x"] = -487,
["y"] = 43,
["z"] = 65 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "5 - 14",
["typ"] = "minus" },
["render"] = "(5 - 14)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{13} - (5 - 14)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{13} - (5 - 14))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} \\cdot -12 - (4\\frac{5}{13} - (5 - 14))",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{10} \\cdot -12 - (4\\frac{5}{13} - (5 - 14)))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (3\\frac{4}{10} \\cdot -12 - (4\\frac{5}{13} - (5 - 14)))",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.9, bodu=175, $$6 \cdot 4\frac{5}{9} + (-20 + \frac{4\frac{5}{14} \cdot -12}{2\frac{4}{10}})=\textcolor{white}{-14\frac{19}{42}}$$return {
["body"] = 175,
["id"] = "hxtKWj_0517_1451",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -14.452380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -607,
["jmenovatel"] = 42 },
["render"] = "\\frac{-607}{42}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{19}{42}",
["x"] = -14,
["y"] = 19,
["z"] = 42 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{14} \\cdot -12}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "-20 + \\frac{4\\frac{5}{14} \\cdot -12}{2\\frac{4}{10}}",
["typ"] = "plus" },
["render"] = "6 \\cdot 4\\frac{5}{9} + (-20 + \\frac{4\\frac{5}{14} \\cdot -12}{2\\frac{4}{10}})",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.91, bodu=176, $$1\frac{2}{10} \cdot \frac{\frac{17}{-17}}{\frac{-18 - 4\frac{1}{7}}{2\frac{1}{6}}}=\textcolor{white}{\frac{91}{775}}$$return {
["body"] = 176,
["id"] = "p6zKOK_0517_1451",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 0.11741935483871,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 775 },
["render"] = "\\frac{546}{4650}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{775}",
["y"] = 91,
["z"] = 775 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-18 - 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 - 4\\frac{1}{7}}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{17}{-17}}{\\frac{-18 - 4\\frac{1}{7}}{2\\frac{1}{6}}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{10} \\cdot \\frac{\\frac{17}{-17}}{\\frac{-18 - 4\\frac{1}{7}}{2\\frac{1}{6}}}",
["typ"] = "krat" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.92, bodu=174, $$4\frac{3}{8} \cdot (8 - 4\frac{4}{10}) - (-21 + (-15 - (-7) - 13)^2)=\textcolor{white}{-404{,}25}$$return {
["body"] = 174,
["id"] = "NzN8Wx_0517_1451",
["obtiznost"] = 1.4968,
["reseni"] = {
["float"] = -404.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1617,
["jmenovatel"] = 4 },
["render"] = "\\frac{-1617}{4}",
["typ"] = "cislo" },
["tex"] = "-404\\frac{1}{4}",
["tex_float"] = "-404{,}25",
["x"] = -404,
["y"] = 1,
["z"] = 4 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(8 - 4\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} \\cdot (8 - 4\\frac{4}{10})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-15 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-15 - (-7) - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-7) - 13)^2",
["typ"] = "mocnina" },
["render"] = "-21 + (-15 - (-7) - 13)^2",
["typ"] = "plus" },
["render"] = "(-21 + (-15 - (-7) - 13)^2)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} \\cdot (8 - 4\\frac{4}{10}) - (-21 + (-15 - (-7) - 13)^2)",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.93, bodu=152, $$18 + 1\frac{2}{8} + (16 - 12)^3 - (-4 - 9) \cdot 1\frac{5}{11}=\textcolor{white}{102\frac{7}{44}}$$return {
["body"] = 152,
["id"] = "qYlQp0_0517_1451",
["obtiznost"] = 1.356,
["reseni"] = {
["float"] = 102.15909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4495,
["jmenovatel"] = 44 },
["render"] = "\\frac{4495}{44}",
["typ"] = "cislo" },
["tex"] = "102\\frac{7}{44}",
["x"] = 102,
["y"] = 7,
["z"] = 44 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "16 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(16 - 12)^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{8} + (16 - 12)^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 - 9",
["typ"] = "minus" },
["render"] = "(-4 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(-4 - 9) \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} + (16 - 12)^3 - (-4 - 9) \\cdot 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "18 + 1\\frac{2}{8} + (16 - 12)^3 - (-4 - 9) \\cdot 1\\frac{5}{11}",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.94, bodu=241, $$\frac{3\frac{5}{11} - 2\frac{2}{4}}{24 \cdot \frac{(\frac{2\frac{5}{10}}{4\frac{4}{9}})^2}{-12}}=\textcolor{white}{-1\frac{151}{297}}$$return {
["body"] = 241,
["id"] = "NosqlA_0517_1451",
["obtiznost"] = 1.8748,
["reseni"] = {
["float"] = -1.5084175084175,
["objekt"] = {
["hodnota"] = {
["citatel"] = -448,
["jmenovatel"] = 297 },
["render"] = "\\frac{2688}{-1782}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{151}{297}",
["x"] = -1,
["y"] = 151,
["z"] = 297 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 2\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{10}}{4\\frac{4}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{2\\frac{5}{10}}{4\\frac{4}{9}})^2}{-12}",
["typ"] = "lomeno" },
["render"] = "24 \\cdot \\frac{(\\frac{2\\frac{5}{10}}{4\\frac{4}{9}})^2}{-12}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{11} - 2\\frac{2}{4}}{24 \\cdot \\frac{(\\frac{2\\frac{5}{10}}{4\\frac{4}{9}})^2}{-12}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.95, bodu=151, $$\frac{-12 + 2\frac{5}{9}}{\frac{16}{\frac{-10}{1\frac{5}{12}} \cdot 8}}=\textcolor{white}{33\frac{1}{3}}$$return {
["body"] = 151,
["id"] = "NiGBqE_0517_1451",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 33.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 3 },
["render"] = "\\frac{-5100}{-153}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{3}",
["x"] = 33,
["y"] = 1,
["z"] = 3 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-12 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["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"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{5}{12}} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{16}{\\frac{-10}{1\\frac{5}{12}} \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 + 2\\frac{5}{9}}{\\frac{16}{\\frac{-10}{1\\frac{5}{12}} \\cdot 8}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.96, bodu=185, $$(\frac{-11}{4\frac{3}{7}} - 4\frac{3}{12}) \cdot 16 + (-20 \cdot 3\frac{3}{6})=\textcolor{white}{-177\frac{23}{31}}$$return {
["body"] = 185,
["id"] = "SOCpU9_0517_1451",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -177.74193548387,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5510,
["jmenovatel"] = 31 },
["render"] = "\\frac{-5510}{31}",
["typ"] = "cislo" },
["tex"] = "-177\\frac{23}{31}",
["x"] = -177,
["y"] = 23,
["z"] = 31 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4\\frac{3}{7}} - 4\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{4\\frac{3}{7}} - 4\\frac{3}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{-11}{4\\frac{3}{7}} - 4\\frac{3}{12}) \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-20 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "(\\frac{-11}{4\\frac{3}{7}} - 4\\frac{3}{12}) \\cdot 16 + (-20 \\cdot 3\\frac{3}{6})",
["typ"] = "plus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.97, bodu=154, $$(-12 + 11)^2 - (2\frac{5}{6} + (-14 - 4\frac{5}{14}) + 17) \cdot -15=\textcolor{white}{23\frac{1}{7}}$$return {
["body"] = 154,
["id"] = "B7PjmL_0517_1451",
["obtiznost"] = 1.3708,
["reseni"] = {
["float"] = 23.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 162,
["jmenovatel"] = 7 },
["render"] = "\\frac{162}{7}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{7}",
["x"] = 23,
["y"] = 1,
["z"] = 7 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.97",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-12 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{5}{14}",
["typ"] = "minus" },
["render"] = "2\\frac{5}{6} + (-14 - 4\\frac{5}{14})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} + (-14 - 4\\frac{5}{14}) + 17",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{6} + (-14 - 4\\frac{5}{14}) + 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{6} + (-14 - 4\\frac{5}{14}) + 17) \\cdot -15",
["typ"] = "krat" },
["render"] = "(-12 + 11)^2 - (2\\frac{5}{6} + (-14 - 4\\frac{5}{14}) + 17) \\cdot -15",
["typ"] = "minus" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.98, bodu=188, $$\frac{-24 - (15 - 3\frac{1}{7}) \cdot (-17 - 4\frac{2}{7} + (-16))}{2\frac{4}{12}}=\textcolor{white}{179\frac{64}{343}}$$return {
["body"] = 188,
["id"] = "49KCs3_0517_1451",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 179.18658892128,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61461,
["jmenovatel"] = 343 },
["render"] = "\\frac{61461}{343}",
["typ"] = "cislo" },
["tex"] = "179\\frac{64}{343}",
["x"] = 179,
["y"] = 64,
["z"] = 343 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(15 - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-17 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-17 - 4\\frac{2}{7} + (-16)",
["typ"] = "plus" },
["render"] = "(-17 - 4\\frac{2}{7} + (-16))",
["typ"] = "zavorka" },
["render"] = "(15 - 3\\frac{1}{7}) \\cdot (-17 - 4\\frac{2}{7} + (-16))",
["typ"] = "krat" },
["render"] = "-24 - (15 - 3\\frac{1}{7}) \\cdot (-17 - 4\\frac{2}{7} + (-16))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-24 - (15 - 3\\frac{1}{7}) \\cdot (-17 - 4\\frac{2}{7} + (-16))}{2\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: 9DlHOseMIcZDF9VEtEYD_0.99, bodu=191, $$\frac{(-15 + 14)^3 - (-17)}{4\frac{4}{10} \cdot (\frac{18}{2\frac{2}{8}})^3}=\textcolor{white}{\frac{5}{704}}$$return {
["body"] = 191,
["id"] = "asNRhn_0517_1451",
["obtiznost"] = 1.596,
["reseni"] = {
["float"] = 0.0071022727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 704 },
["render"] = "\\frac{80}{11264}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{704}",
["y"] = 5,
["z"] = 704 },
["seed"] = "9DlHOseMIcZDF9VEtEYD_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-15 + 14",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 14)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(-15 + 14)^3 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{18}{2\\frac{2}{8}})^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{10} \\cdot (\\frac{18}{2\\frac{2}{8}})^3",
["typ"] = "krat" },
["render"] = "\\frac{(-15 + 14)^3 - (-17)}{4\\frac{4}{10} \\cdot (\\frac{18}{2\\frac{2}{8}})^3}",
["typ"] = "lomeno" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
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GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
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dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
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f8f99505ebbf8c2de07aee9405607e92.gif: 
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gigdsfddsphy.gif: 
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giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
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imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
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tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
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untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 