- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: LdTWW7i8XpceYGnGy8mY_0, bodu=5, $$(7 \cdot 7 - 7) \cdot 5=\textcolor{white}{210}$$return {
["body"] = 5,
["id"] = "0IsUz3_0428_1537",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 210,
["jmenovatel"] = 1 },
["render"] = "\\frac{210}{1}",
["typ"] = "cislo" },
["tex"] = "210",
["x"] = 210 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7 - 7",
["typ"] = "minus" },
["render"] = "(7 \\cdot 7 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(7 \\cdot 7 - 7) \\cdot 5",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.01, bodu=5, $$-10 \cdot (4 + 3 - 9)=\textcolor{white}{20}$$return {
["body"] = 5,
["id"] = "WCgr8b_0428_1537",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{1}",
["typ"] = "cislo" },
["tex"] = "20",
["tex_float"] = "20",
["x"] = 20 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "4 + 3 - 9",
["typ"] = "plus" },
["render"] = "(4 + 3 - 9)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (4 + 3 - 9)",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.02, bodu=10, $$\frac{8 - \frac{6}{7}}{5}=\textcolor{white}{1\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "kR4xwP_0428_1537",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "\\frac{50}{35}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{7}",
["x"] = 1,
["y"] = 3,
["z"] = 7 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{6}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8 - \\frac{6}{7}}{5}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.03, bodu=5, $$6 \cdot (8 + 7) - 8=\textcolor{white}{82}$$return {
["body"] = 5,
["id"] = "DTGsZy_0428_1537",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 82,
["jmenovatel"] = 1 },
["render"] = "\\frac{82}{1}",
["typ"] = "cislo" },
["tex"] = "82",
["x"] = 82 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["render"] = "(8 + 7)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (8 + 7)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot (8 + 7) - 8",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.04, bodu=11, $$\frac{(\frac{3}{-4})^3}{8}=\textcolor{white}{-\frac{27}{512}}$$return {
["body"] = 11,
["id"] = "L6YE5C_0428_1537",
["obtiznost"] = 0.0764,
["reseni"] = {
["float"] = -0.052734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 512 },
["render"] = "\\frac{-27}{512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{512}",
["y"] = -27,
["z"] = 512 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3}{-4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3}{-4})^3}{8}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.05, bodu=11, $$7 - \frac{6}{3 - (-10)}=\textcolor{white}{6\frac{7}{13}}$$return {
["body"] = 11,
["id"] = "4qqmCx_0428_1537",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 6.5384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 85,
["jmenovatel"] = 13 },
["render"] = "\\frac{85}{13}",
["typ"] = "cislo" },
["tex"] = "6\\frac{7}{13}",
["x"] = 6,
["y"] = 7,
["z"] = 13 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{6}{3 - (-10)}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{6}{3 - (-10)}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.06, bodu=11, $$\frac{5}{-4} - (-7 - 4)=\textcolor{white}{9{,}75}$$return {
["body"] = 11,
["id"] = "JvIoqq_0428_1537",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 9.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 4 },
["render"] = "\\frac{39}{4}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{4}",
["tex_float"] = "9{,}75",
["x"] = 9,
["y"] = 3,
["z"] = 4 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 - 4",
["typ"] = "minus" },
["render"] = "(-7 - 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{-4} - (-7 - 4)",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.07, bodu=22, $$(-5 - 4 + 10)^2 - (3\frac{3}{8} + 6)=\textcolor{white}{-8{,}375}$$return {
["body"] = 22,
["id"] = "L4xcfo_0428_1537",
["obtiznost"] = 0.2708,
["reseni"] = {
["float"] = -8.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 8 },
["render"] = "\\frac{-67}{8}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{3}{8}",
["tex_float"] = "-8{,}375",
["x"] = -8,
["y"] = 3,
["z"] = 8 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-5 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 - 4 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 - 4 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} + 6",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + 6)",
["typ"] = "zavorka" },
["render"] = "(-5 - 4 + 10)^2 - (3\\frac{3}{8} + 6)",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.08, bodu=17, $$\frac{-7}{10} + (9 - (-8))^2=\textcolor{white}{288{,}3}$$return {
["body"] = 17,
["id"] = "mJkq2o_0428_1537",
["obtiznost"] = 0.196,
["reseni"] = {
["float"] = 288.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2883,
["jmenovatel"] = 10 },
["render"] = "\\frac{2883}{10}",
["typ"] = "cislo" },
["tex"] = "288\\frac{3}{10}",
["tex_float"] = "288{,}3",
["x"] = 288,
["y"] = 3,
["z"] = 10 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{10} + (9 - (-8))^2",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.09, bodu=14, $$\frac{(\frac{9}{7})^2}{7}=\textcolor{white}{\frac{81}{343}}$$return {
["body"] = 14,
["id"] = "WCMclZ_0428_1537",
["obtiznost"] = 0.142,
["reseni"] = {
["float"] = 0.23615160349854,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 343 },
["render"] = "\\frac{81}{343}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{343}",
["y"] = 81,
["z"] = 343 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{9}{7})^2}{7}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.1, bodu=12, $$\frac{7}{9 \cdot 5}=\textcolor{white}{\frac{7}{45}}$$return {
["body"] = 12,
["id"] = "O5lLuJ_0428_1537",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 0.15555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 45 },
["render"] = "\\frac{7}{45}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{45}",
["y"] = 7,
["z"] = 45 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{7}{9 \\cdot 5}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.11, bodu=13, $$\frac{4}{5} \cdot 7=\textcolor{white}{5{,}6}$$return {
["body"] = 13,
["id"] = "AxN6If_0428_1537",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 5.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 5 },
["render"] = "\\frac{28}{5}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{5}",
["tex_float"] = "5{,}6",
["x"] = 5,
["y"] = 3,
["z"] = 5 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.11",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5} \\cdot 7",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.12, bodu=13, $$\frac{6}{9} + 9 - (-8)=\textcolor{white}{17\frac{2}{3}}$$return {
["body"] = 13,
["id"] = "ilIGqR_0428_1537",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 17.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 3 },
["render"] = "\\frac{53}{3}",
["typ"] = "cislo" },
["tex"] = "17\\frac{2}{3}",
["x"] = 17,
["y"] = 2,
["z"] = 3 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{6}{9} + 9 - (-8)",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.13, bodu=27, $$1\frac{4}{9} \cdot 2\frac{2}{2} + 10 + (-8)=\textcolor{white}{6\frac{1}{3}}$$return {
["body"] = 27,
["id"] = "GjumT1_0428_1537",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 6.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 3 },
["render"] = "\\frac{19}{3}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1}{3}",
["x"] = 6,
["y"] = 1,
["z"] = 3 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot 2\\frac{2}{2}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot 2\\frac{2}{2} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot 2\\frac{2}{2} + 10 + (-8)",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.14, bodu=7, $$9 \cdot 10 \cdot (3 + 6)=\textcolor{white}{810}$$return {
["body"] = 7,
["id"] = "kAsm2t_0428_1537",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 810,
["jmenovatel"] = 1 },
["render"] = "\\frac{810}{1}",
["typ"] = "cislo" },
["tex"] = "810",
["tex_float"] = "810",
["x"] = 810 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 + 6",
["typ"] = "plus" },
["render"] = "(3 + 6)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (3 + 6)",
["typ"] = "krat" },
["render"] = "9 \\cdot 10 \\cdot (3 + 6)",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.15, bodu=15, $$\frac{9}{6 \cdot 3\frac{1}{1}}=\textcolor{white}{0{,}375}$$return {
["body"] = 15,
["id"] = "NmSCFj_0428_1537",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 0.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 8 },
["render"] = "\\frac{9}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{8}",
["tex_float"] = "0{,}375",
["y"] = 3,
["z"] = 8 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{1}{1}",
["typ"] = "krat" },
["render"] = "\\frac{9}{6 \\cdot 3\\frac{1}{1}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.16, bodu=15, $$7 + (-8 + \frac{5}{12})=\textcolor{white}{-\frac{7}{12}}$$return {
["body"] = 15,
["id"] = "J4DUpW_0428_1537",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -0.58333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 12 },
["render"] = "\\frac{-7}{12}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{12}",
["y"] = -7,
["z"] = 12 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{5}{12}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{5}{12}",
["typ"] = "plus" },
["render"] = "7 + (-8 + \\frac{5}{12})",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.17, bodu=19, $$\frac{7}{\frac{(3 + 9)^2}{-6}}=\textcolor{white}{-\frac{7}{24}}$$return {
["body"] = 19,
["id"] = "ZGqUAE_0428_1537",
["obtiznost"] = 0.228,
["reseni"] = {
["float"] = -0.29166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 24 },
["render"] = "\\frac{7}{-24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{24}",
["y"] = -7,
["z"] = 24 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{(3 + 9)^2}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{(3 + 9)^2}{-6}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.18, bodu=34, $$7 + (6 + \frac{6}{1\frac{5}{10}})^2=\textcolor{white}{107}$$return {
["body"] = 34,
["id"] = "tuhx6v_0428_1537",
["obtiznost"] = 0.4204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 1 },
["render"] = "\\frac{107}{1}",
["typ"] = "cislo" },
["tex"] = "107",
["tex_float"] = "107",
["x"] = 107 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{6}{1\\frac{5}{10}}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + \\frac{6}{1\\frac{5}{10}})^2",
["typ"] = "mocnina" },
["render"] = "7 + (6 + \\frac{6}{1\\frac{5}{10}})^2",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.19, bodu=31, $$\frac{\frac{6}{3\frac{1}{4}}}{3}=\textcolor{white}{\frac{8}{13}}$$return {
["body"] = 31,
["id"] = "03Byld_0428_1537",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.61538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 13 },
["render"] = "\\frac{24}{39}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{13}",
["y"] = 8,
["z"] = 13 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{3\\frac{1}{4}}}{3}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.2, bodu=18, $$\frac{8}{\frac{-8}{6}} \cdot 10=\textcolor{white}{-60}$$return {
["body"] = 18,
["id"] = "aOFTgX_0428_1537",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -60,
["jmenovatel"] = 1 },
["render"] = "\\frac{-60}{1}",
["typ"] = "cislo" },
["tex"] = "-60",
["x"] = -60 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{-8}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{\\frac{-8}{6}} \\cdot 10",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.21, bodu=19, $$\frac{-4}{\frac{-9 + 4}{(-8 + 13)^2}}=\textcolor{white}{20}$$return {
["body"] = 19,
["id"] = "ABNq43_0428_1537",
["obtiznost"] = 0.2204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{-1}",
["typ"] = "cislo" },
["tex"] = "20",
["x"] = 20 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 4",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-9 + 4}{(-8 + 13)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{\\frac{-9 + 4}{(-8 + 13)^2}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.22, bodu=53, $$(1\frac{4}{7} + 8 \cdot 7) \cdot 3\frac{3}{8}=\textcolor{white}{194\frac{17}{56}}$$return {
["body"] = 53,
["id"] = "bEo1k7_0428_1537",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 194.30357142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10881,
["jmenovatel"] = 56 },
["render"] = "\\frac{10881}{56}",
["typ"] = "cislo" },
["tex"] = "194\\frac{17}{56}",
["x"] = 194,
["y"] = 17,
["z"] = 56 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["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"] = "1\\frac{4}{7} + 8 \\cdot 7",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{7} + 8 \\cdot 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{7} + 8 \\cdot 7) \\cdot 3\\frac{3}{8}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.23, bodu=35, $$2\frac{3}{4} - 10 + 13 - (-10 + (-11))=\textcolor{white}{26{,}75}$$return {
["body"] = 35,
["id"] = "tcHEfg_0428_1537",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 26.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 4 },
["render"] = "\\frac{107}{4}",
["typ"] = "cislo" },
["tex"] = "26\\frac{3}{4}",
["tex_float"] = "26{,}75",
["x"] = 26,
["y"] = 3,
["z"] = 4 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} - 10 + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 + (-11)",
["typ"] = "plus" },
["render"] = "(-10 + (-11))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{4} - 10 + 13 - (-10 + (-11))",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.24, bodu=20, $$6 \cdot -3 + \frac{13}{6}=\textcolor{white}{-15\frac{5}{6}}$$return {
["body"] = 20,
["id"] = "v9az9s_0428_1537",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -15.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 6 },
["render"] = "\\frac{-95}{6}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{5}{6}",
["x"] = -15,
["y"] = 5,
["z"] = 6 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "6 \\cdot -3",
["typ"] = "krat" },
["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"] = "6 \\cdot -3 + \\frac{13}{6}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.25, bodu=21, $$5 \cdot (\frac{-3}{14} + (-11))=\textcolor{white}{-56\frac{1}{14}}$$return {
["body"] = 21,
["id"] = "fwCSJl_0428_1537",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -56.071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -785,
["jmenovatel"] = 14 },
["render"] = "\\frac{-785}{14}",
["typ"] = "cislo" },
["tex"] = "-56\\frac{1}{14}",
["x"] = -56,
["y"] = 1,
["z"] = 14 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{14} + (-11)",
["typ"] = "plus" },
["render"] = "(\\frac{-3}{14} + (-11))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (\\frac{-3}{14} + (-11))",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.26, bodu=21, $$\frac{5}{-3} - \frac{5}{8}=\textcolor{white}{-2\frac{7}{24}}$$return {
["body"] = 21,
["id"] = "agPv2G_0428_1537",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -2.2916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 24 },
["render"] = "\\frac{-55}{24}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{7}{24}",
["x"] = -2,
["y"] = 7,
["z"] = 24 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{-3} - \\frac{5}{8}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.27, bodu=52, $$(\frac{6}{8})^4 \cdot 12 + 2\frac{4}{6}=\textcolor{white}{6\frac{89}{192}}$$return {
["body"] = 52,
["id"] = "ztVq5w_0428_1537",
["obtiznost"] = 0.6048,
["reseni"] = {
["float"] = 6.4635416666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1241,
["jmenovatel"] = 192 },
["render"] = "\\frac{1241}{192}",
["typ"] = "cislo" },
["tex"] = "6\\frac{89}{192}",
["x"] = 6,
["y"] = 89,
["z"] = 192 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{8})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{8})^4 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{8})^4 \\cdot 12 + 2\\frac{4}{6}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.28, bodu=78, $$\frac{9}{4\frac{5}{11}} \cdot (\frac{10}{8})^4=\textcolor{white}{4\frac{11699}{12544}}$$return {
["body"] = 78,
["id"] = "rhUCsu_0428_1537",
["obtiznost"] = 0.8324,
["reseni"] = {
["float"] = 4.9326371173469,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61875,
["jmenovatel"] = 12544 },
["render"] = "\\frac{61875}{12544}",
["typ"] = "cislo" },
["tex"] = "4\\frac{11699}{12544}",
["x"] = 4,
["y"] = 11699,
["z"] = 12544 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{10}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{4\\frac{5}{11}} \\cdot (\\frac{10}{8})^4",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.29, bodu=26, $$\frac{(\frac{-9}{2})^2}{9} \cdot 10=\textcolor{white}{22{,}5}$$return {
["body"] = 26,
["id"] = "dc5DBY_0428_1537",
["obtiznost"] = 0.324,
["reseni"] = {
["float"] = 22.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 2 },
["render"] = "\\frac{90}{4}",
["typ"] = "cislo" },
["tex"] = "22\\frac{1}{2}",
["tex_float"] = "22{,}5",
["x"] = 22,
["y"] = 1,
["z"] = 2 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-9}{2})^2}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-9}{2})^2}{9} \\cdot 10",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.3, bodu=41, $$(1\frac{4}{8} + 7 + (-4)) \cdot \frac{10}{5}=\textcolor{white}{9}$$return {
["body"] = 41,
["id"] = "HNaGnL_0428_1537",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{2}",
["typ"] = "cislo" },
["tex"] = "9",
["x"] = 9 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 + (-4)",
["typ"] = "plus" },
["render"] = "1\\frac{4}{8} + 7 + (-4)",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{8} + 7 + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{5}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{4}{8} + 7 + (-4)) \\cdot \\frac{10}{5}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.31, bodu=25, $$\frac{-10}{-3 - (8 + 8 - (-8))}=\textcolor{white}{\frac{10}{27}}$$return {
["body"] = 25,
["id"] = "Z8ZY11_0428_1537",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 0.37037037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 27 },
["render"] = "\\frac{-10}{-27}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{27}",
["y"] = 10,
["z"] = 27 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + 8 - (-8)",
["typ"] = "minus" },
["render"] = "(8 + 8 - (-8))",
["typ"] = "zavorka" },
["render"] = "-3 - (8 + 8 - (-8))",
["typ"] = "minus" },
["render"] = "\\frac{-10}{-3 - (8 + 8 - (-8))}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.32, bodu=26, $$\frac{-9}{-6 + 14 + 11 - 9}=\textcolor{white}{-0{,}9}$$return {
["body"] = 26,
["id"] = "MOstzN_0428_1537",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 10 },
["render"] = "\\frac{-9}{10}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{10}",
["tex_float"] = "-0{,}9",
["y"] = -9,
["z"] = 10 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 + 11 - 9",
["typ"] = "minus" },
["render"] = "-6 + 14 + 11 - 9",
["typ"] = "plus" },
["render"] = "\\frac{-9}{-6 + 14 + 11 - 9}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.33, bodu=44, $$\frac{12 - 4\frac{2}{5}}{7 - 4}=\textcolor{white}{2\frac{8}{15}}$$return {
["body"] = 44,
["id"] = "mAUK0h_0428_1537",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 2.5333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 15 },
["render"] = "\\frac{38}{15}",
["typ"] = "cislo" },
["tex"] = "2\\frac{8}{15}",
["x"] = 2,
["y"] = 8,
["z"] = 15 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["render"] = "\\frac{12 - 4\\frac{2}{5}}{7 - 4}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.34, bodu=13, $$(-9 - (8 - (-12))) \cdot 10=\textcolor{white}{-290}$$return {
["body"] = 13,
["id"] = "ZsidLV_0428_1537",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -290,
["jmenovatel"] = 1 },
["render"] = "\\frac{-290}{1}",
["typ"] = "cislo" },
["tex"] = "-290",
["x"] = -290 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.34",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 - (-12)",
["typ"] = "minus" },
["render"] = "(8 - (-12))",
["typ"] = "zavorka" },
["render"] = "-9 - (8 - (-12))",
["typ"] = "minus" },
["render"] = "(-9 - (8 - (-12)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-9 - (8 - (-12))) \\cdot 10",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.35, bodu=28, $$\frac{-7 + 7}{(6 \cdot (6 - 6))^2 + 3}=\textcolor{white}{0}$$return {
["body"] = 28,
["id"] = "scw66T_0428_1537",
["obtiznost"] = 0.3504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{3}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["render"] = "(6 - 6)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (6 - 6)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot (6 - 6))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(6 \\cdot (6 - 6))^2 + 3",
["typ"] = "plus" },
["render"] = "\\frac{-7 + 7}{(6 \\cdot (6 - 6))^2 + 3}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.36, bodu=14, $$((-11 + 11)^3 - (16 - 6 - 9)^4)^3=\textcolor{white}{-1}$$return {
["body"] = 14,
["id"] = "5LjQU1_0428_1537",
["obtiznost"] = 0.362,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.36",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "16 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "16 - 6 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(16 - 6 - 9)^4",
["typ"] = "mocnina" },
["render"] = "(-11 + 11)^3 - (16 - 6 - 9)^4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "((-11 + 11)^3 - (16 - 6 - 9)^4)^3",
["typ"] = "mocnina" } }
seed: LdTWW7i8XpceYGnGy8mY_0.37, bodu=48, $$-10 - 4\frac{3}{7} + 11 \cdot 10 + 7=\textcolor{white}{102\frac{4}{7}}$$return {
["body"] = 48,
["id"] = "Jaq6po_0428_1537",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 102.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 718,
["jmenovatel"] = 7 },
["render"] = "\\frac{718}{7}",
["typ"] = "cislo" },
["tex"] = "102\\frac{4}{7}",
["x"] = 102,
["y"] = 4,
["z"] = 7 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 10",
["typ"] = "krat" },
["render"] = "-10 - 4\\frac{3}{7} + 11 \\cdot 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{3}{7} + 11 \\cdot 10 + 7",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.38, bodu=19, $$((-4 + 10)^3 - 11) \cdot (4 - 9)=\textcolor{white}{-1025}$$return {
["body"] = 19,
["id"] = "0aJvry_0428_1537",
["obtiznost"] = 0.4668,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1025,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1025}{1}",
["typ"] = "cislo" },
["tex"] = "-1025",
["tex_float"] = "-1025",
["x"] = -1025 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 + 10",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-4 + 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-4 + 10)^3 - 11",
["typ"] = "minus" },
["render"] = "((-4 + 10)^3 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["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" },
["render"] = "((-4 + 10)^3 - 11) \\cdot (4 - 9)",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.39, bodu=96, $$-9 \cdot (\frac{3\frac{3}{5}}{4\frac{5}{10}} - 5)^2=\textcolor{white}{-158{,}76}$$return {
["body"] = 96,
["id"] = "Riaif2_0428_1537",
["obtiznost"] = 0.9764,
["reseni"] = {
["float"] = -158.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3969,
["jmenovatel"] = 25 },
["render"] = "\\frac{-3969}{25}",
["typ"] = "cislo" },
["tex"] = "-158\\frac{19}{25}",
["tex_float"] = "-158{,}76",
["x"] = -158,
["y"] = 19,
["z"] = 25 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{4\\frac{5}{10}} - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{3}{5}}{4\\frac{5}{10}} - 5)^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (\\frac{3\\frac{3}{5}}{4\\frac{5}{10}} - 5)^2",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.4, bodu=64, $$(11 - 2\frac{4}{8})^2 - (-10) + \frac{6}{7}=\textcolor{white}{83\frac{3}{28}}$$return {
["body"] = 64,
["id"] = "csH1BD_0428_1537",
["obtiznost"] = 0.7172,
["reseni"] = {
["float"] = 83.107142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2327,
["jmenovatel"] = 28 },
["render"] = "\\frac{2327}{28}",
["typ"] = "cislo" },
["tex"] = "83\\frac{3}{28}",
["x"] = 83,
["y"] = 3,
["z"] = 28 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "11 - 2\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 2\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(11 - 2\\frac{4}{8})^2 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "(11 - 2\\frac{4}{8})^2 - (-10) + \\frac{6}{7}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.41, bodu=75, $$\frac{14 + \frac{4\frac{5}{10}}{12 + 13} + 2\frac{3}{5}}{10}=\textcolor{white}{1{,}678}$$return {
["body"] = 75,
["id"] = "7FvCd8_0428_1537",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 1.678,
["objekt"] = {
["hodnota"] = {
["citatel"] = 839,
["jmenovatel"] = 500 },
["render"] = "\\frac{839}{500}",
["typ"] = "cislo" },
["tex"] = "1\\frac{339}{500}",
["tex_float"] = "1{,}678",
["x"] = 1,
["y"] = 339,
["z"] = 500 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{10}}{12 + 13}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{4\\frac{5}{10}}{12 + 13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "14 + \\frac{4\\frac{5}{10}}{12 + 13} + 2\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14 + \\frac{4\\frac{5}{10}}{12 + 13} + 2\\frac{3}{5}}{10}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.42, bodu=39, $$\frac{(-9 + 4)^3 - 3}{\frac{8}{8}}=\textcolor{white}{-128}$$return {
["body"] = 39,
["id"] = "cGlCDm_0428_1537",
["obtiznost"] = 0.4704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -128,
["jmenovatel"] = 1 },
["render"] = "\\frac{-128}{1}",
["typ"] = "cislo" },
["tex"] = "-128",
["x"] = -128 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-9 + 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-9 + 4)^3 - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-9 + 4)^3 - 3}{\\frac{8}{8}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.43, bodu=55, $$\frac{4}{15} - (10 - 2\frac{2}{6}) - 10=\textcolor{white}{-17{,}4}$$return {
["body"] = 55,
["id"] = "rIGYit_0428_1537",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -17.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 5 },
["render"] = "\\frac{-87}{5}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{2}{5}",
["tex_float"] = "-17{,}4",
["x"] = -17,
["y"] = 2,
["z"] = 5 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4}{15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(10 - 2\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{4}{15} - (10 - 2\\frac{2}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4}{15} - (10 - 2\\frac{2}{6}) - 10",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.44, bodu=24, $$9 \cdot (-4 - 3)^3 + (-4 - 8)=\textcolor{white}{-3099}$$return {
["body"] = 24,
["id"] = "KqgGN3_0428_1537",
["obtiznost"] = 0.5776,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3099,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3099}{1}",
["typ"] = "cislo" },
["tex"] = "-3099",
["tex_float"] = "-3099",
["x"] = -3099 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-4 - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-4 - 3)^3",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (-4 - 3)^3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 - 8",
["typ"] = "minus" },
["render"] = "9 \\cdot (-4 - 3)^3 + (-4 - 8)",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.45, bodu=37, $$\frac{-4}{10 \cdot -9} \cdot -15=\textcolor{white}{-\frac{2}{3}}$$return {
["body"] = 37,
["id"] = "JAoall_0428_1537",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -0.66666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 3 },
["render"] = "\\frac{-30}{45}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{3}",
["y"] = -2,
["z"] = 3 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{-4}{10 \\cdot -9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{10 \\cdot -9} \\cdot -15",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.46, bodu=81, $$\frac{5}{-7 - \frac{3\frac{5}{10}}{-15 + 3\frac{4}{8}}}=\textcolor{white}{-\frac{115}{154}}$$return {
["body"] = 81,
["id"] = "Ksrutl_0428_1537",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -0.74675324675325,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115,
["jmenovatel"] = 154 },
["render"] = "\\frac{115}{-154}",
["typ"] = "cislo" },
["tex"] = "-\\frac{115}{154}",
["y"] = -115,
["z"] = 154 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-15 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{10}}{-15 + 3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "-7 - \\frac{3\\frac{5}{10}}{-15 + 3\\frac{4}{8}}",
["typ"] = "minus" },
["render"] = "\\frac{5}{-7 - \\frac{3\\frac{5}{10}}{-15 + 3\\frac{4}{8}}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.47, bodu=83, $$6 \cdot \frac{-6 - (-11)}{\frac{3\frac{4}{11}}{1\frac{3}{8}}}=\textcolor{white}{12\frac{39}{148}}$$return {
["body"] = 83,
["id"] = "aDQ4yh_0428_1537",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 12.263513513514,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1815,
["jmenovatel"] = 148 },
["render"] = "\\frac{3630}{296}",
["typ"] = "cislo" },
["tex"] = "12\\frac{39}{148}",
["x"] = 12,
["y"] = 39,
["z"] = 148 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-6 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6 - (-11)}{\\frac{3\\frac{4}{11}}{1\\frac{3}{8}}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{-6 - (-11)}{\\frac{3\\frac{4}{11}}{1\\frac{3}{8}}}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.48, bodu=140, $$\frac{11 \cdot (3\frac{1}{7} - 3\frac{5}{6})}{2\frac{3}{8} + 3\frac{2}{4}}=\textcolor{white}{-1\frac{289}{987}}$$return {
["body"] = 140,
["id"] = "33WpfU_0428_1537",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -1.2928064842958,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1276,
["jmenovatel"] = 987 },
["render"] = "\\frac{-2552}{1974}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{289}{987}",
["x"] = -1,
["y"] = 289,
["z"] = 987 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 3\\frac{5}{6}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{7} - 3\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (3\\frac{1}{7} - 3\\frac{5}{6})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{11 \\cdot (3\\frac{1}{7} - 3\\frac{5}{6})}{2\\frac{3}{8} + 3\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.49, bodu=40, $$\frac{7}{-14 \cdot 10 - (-9) - 8}=\textcolor{white}{-\frac{7}{139}}$$return {
["body"] = 40,
["id"] = "gIIPHa_0428_1537",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -0.050359712230216,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 139 },
["render"] = "\\frac{7}{-139}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{139}",
["y"] = -7,
["z"] = 139 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 10 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 10 - (-9) - 8",
["typ"] = "minus" },
["render"] = "\\frac{7}{-14 \\cdot 10 - (-9) - 8}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.5, bodu=86, $$\frac{4 + (-11) - (10 + 2\frac{4}{10})}{13 \cdot 1\frac{1}{7}}=\textcolor{white}{-1\frac{159}{520}}$$return {
["body"] = 86,
["id"] = "hBTpbj_0428_1537",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -1.3057692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -679,
["jmenovatel"] = 520 },
["render"] = "\\frac{-679}{520}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{159}{520}",
["x"] = -1,
["y"] = 159,
["z"] = 520 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 + (-11)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(10 + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "4 + (-11) - (10 + 2\\frac{4}{10})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4 + (-11) - (10 + 2\\frac{4}{10})}{13 \\cdot 1\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.51, bodu=58, $$5 \cdot (\frac{(\frac{6}{4})^3}{12 - 6})^2=\textcolor{white}{1\frac{149}{256}}$$return {
["body"] = 58,
["id"] = "txhetA_0428_1537",
["obtiznost"] = 0.6588,
["reseni"] = {
["float"] = 1.58203125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 405,
["jmenovatel"] = 256 },
["render"] = "\\frac{405}{256}",
["typ"] = "cislo" },
["tex"] = "1\\frac{149}{256}",
["x"] = 1,
["y"] = 149,
["z"] = 256 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{6}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 - 6",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{6}{4})^3}{12 - 6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(\\frac{6}{4})^3}{12 - 6})^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (\\frac{(\\frac{6}{4})^3}{12 - 6})^2",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.52, bodu=64, $$1\frac{5}{11} \cdot (6 \cdot -10 - (-15 \cdot -13))=\textcolor{white}{-370\frac{10}{11}}$$return {
["body"] = 64,
["id"] = "PGols4_0428_1537",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -370.90909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4080,
["jmenovatel"] = 11 },
["render"] = "\\frac{-4080}{11}",
["typ"] = "cislo" },
["tex"] = "-370\\frac{10}{11}",
["x"] = -370,
["y"] = 10,
["z"] = 11 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -13",
["typ"] = "krat" },
["render"] = "6 \\cdot -10 - (-15 \\cdot -13)",
["typ"] = "minus" },
["render"] = "(6 \\cdot -10 - (-15 \\cdot -13))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} \\cdot (6 \\cdot -10 - (-15 \\cdot -13))",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.53, bodu=135, $$\frac{1\frac{2}{6}}{(15 + 13)^2} \cdot (-15 + 7)^3=\textcolor{white}{-\frac{128}{147}}$$return {
["body"] = 135,
["id"] = "sWJhrb_0428_1537",
["obtiznost"] = 1.2492,
["reseni"] = {
["float"] = -0.87074829931973,
["objekt"] = {
["hodnota"] = {
["citatel"] = -128,
["jmenovatel"] = 147 },
["render"] = "\\frac{-512}{588}",
["typ"] = "cislo" },
["tex"] = "-\\frac{128}{147}",
["y"] = -128,
["z"] = 147 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{2}{6}}{(15 + 13)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-15 + 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 7)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{2}{6}}{(15 + 13)^2} \\cdot (-15 + 7)^3",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.54, bodu=119, $$\frac{2\frac{1}{7} + (-7 + (-16))}{1\frac{5}{10} \cdot 4\frac{5}{12}}=\textcolor{white}{-3\frac{55}{371}}$$return {
["body"] = 119,
["id"] = "1R0lUz_0428_1537",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -3.1482479784367,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1168,
["jmenovatel"] = 371 },
["render"] = "\\frac{-1168}{371}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{55}{371}",
["x"] = -3,
["y"] = 55,
["z"] = 371 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["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 + (-16)",
["typ"] = "plus" },
["render"] = "2\\frac{1}{7} + (-7 + (-16))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 4\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{7} + (-7 + (-16))}{1\\frac{5}{10} \\cdot 4\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.55, bodu=68, $$\frac{-6 \cdot 15}{\frac{12}{-8} - 1\frac{2}{5}}=\textcolor{white}{31\frac{1}{29}}$$return {
["body"] = 68,
["id"] = "160o4m_0428_1537",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 31.034482758621,
["objekt"] = {
["hodnota"] = {
["citatel"] = 900,
["jmenovatel"] = 29 },
["render"] = "\\frac{-900}{-29}",
["typ"] = "cislo" },
["tex"] = "31\\frac{1}{29}",
["x"] = 31,
["y"] = 1,
["z"] = 29 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-8} - 1\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "\\frac{-6 \\cdot 15}{\\frac{12}{-8} - 1\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.56, bodu=69, $$-15 \cdot (9 - 2\frac{5}{9}) - (13 - (-4))=\textcolor{white}{-113\frac{2}{3}}$$return {
["body"] = 69,
["id"] = "cpRaAU_0428_1537",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -113.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -341,
["jmenovatel"] = 3 },
["render"] = "\\frac{-341}{3}",
["typ"] = "cislo" },
["tex"] = "-113\\frac{2}{3}",
["x"] = -113,
["y"] = 2,
["z"] = 3 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(9 - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (9 - 2\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "13 - (-4)",
["typ"] = "minus" },
["render"] = "(13 - (-4))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (9 - 2\\frac{5}{9}) - (13 - (-4))",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.57, bodu=70, $$\frac{-6}{11 + 2\frac{5}{9} - 7 \cdot 9 + 10}=\textcolor{white}{\frac{54}{355}}$$return {
["body"] = 70,
["id"] = "NiqVsd_0428_1537",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 0.15211267605634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 355 },
["render"] = "\\frac{-54}{-355}",
["typ"] = "cislo" },
["tex"] = "\\frac{54}{355}",
["y"] = 54,
["z"] = 355 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "2\\frac{5}{9} - 7 \\cdot 9",
["typ"] = "minus" },
["render"] = "11 + 2\\frac{5}{9} - 7 \\cdot 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{5}{9} - 7 \\cdot 9 + 10",
["typ"] = "plus" },
["render"] = "\\frac{-6}{11 + 2\\frac{5}{9} - 7 \\cdot 9 + 10}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.58, bodu=79, $$(-11 - (-5 - (-14) - 10)^2)^2 \cdot 2\frac{2}{9}=\textcolor{white}{320}$$return {
["body"] = 79,
["id"] = "44mbgi_0428_1537",
["obtiznost"] = 0.8388,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 320,
["jmenovatel"] = 1 },
["render"] = "\\frac{2880}{9}",
["typ"] = "cislo" },
["tex"] = "320",
["tex_float"] = "320",
["x"] = 320 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.58",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 - (-14) - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - (-14) - 10)^2",
["typ"] = "mocnina" },
["render"] = "-11 - (-5 - (-14) - 10)^2",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - (-5 - (-14) - 10)^2)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-11 - (-5 - (-14) - 10)^2)^2 \\cdot 2\\frac{2}{9}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.59, bodu=73, $$1\frac{5}{11} \cdot 10 \cdot \frac{8}{-12}=\textcolor{white}{-9\frac{23}{33}}$$return {
["body"] = 73,
["id"] = "G5t9wW_0428_1537",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -9.6969696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = -320,
["jmenovatel"] = 33 },
["render"] = "\\frac{-320}{33}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{23}{33}",
["x"] = -9,
["y"] = 23,
["z"] = 33 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-12}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} \\cdot 10 \\cdot \\frac{8}{-12}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.6, bodu=100, $$3\frac{5}{11} - 3\frac{5}{5} \cdot 3\frac{5}{13} \cdot 9 \cdot -15=\textcolor{white}{1831\frac{21}{143}}$$return {
["body"] = 100,
["id"] = "YaF9RC_0428_1537",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 1831.1468531469,
["objekt"] = {
["hodnota"] = {
["citatel"] = 261854,
["jmenovatel"] = 143 },
["render"] = "\\frac{261854}{143}",
["typ"] = "cislo" },
["tex"] = "1831\\frac{21}{143}",
["x"] = 1831,
["y"] = 21,
["z"] = 143 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{5} \\cdot 3\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{5} \\cdot 3\\frac{5}{13} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{5} \\cdot 3\\frac{5}{13} \\cdot 9 \\cdot -15",
["typ"] = "krat" },
["render"] = "3\\frac{5}{11} - 3\\frac{5}{5} \\cdot 3\\frac{5}{13} \\cdot 9 \\cdot -15",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.61, bodu=113, $$-9 + 2\frac{1}{8} - \frac{(-19 + 4)^2}{3\frac{1}{4}} \cdot 15=\textcolor{white}{-1045\frac{35}{104}}$$return {
["body"] = 113,
["id"] = "twPWj9_0428_1537",
["obtiznost"] = 1.1004,
["reseni"] = {
["float"] = -1045.3365384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108715,
["jmenovatel"] = 104 },
["render"] = "\\frac{-108715}{104}",
["typ"] = "cislo" },
["tex"] = "-1045\\frac{35}{104}",
["x"] = -1045,
["y"] = 35,
["z"] = 104 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-19 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-19 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(-19 + 4)^2}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(-19 + 4)^2}{3\\frac{1}{4}} \\cdot 15",
["typ"] = "krat" },
["render"] = "-9 + 2\\frac{1}{8} - \\frac{(-19 + 4)^2}{3\\frac{1}{4}} \\cdot 15",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.62, bodu=89, $$14 + 1\frac{3}{6} - \frac{13}{(-5 - (-9))^4 + 11}=\textcolor{white}{15\frac{241}{534}}$$return {
["body"] = 89,
["id"] = "zCBgVa_0428_1537",
["obtiznost"] = 0.9228,
["reseni"] = {
["float"] = 15.451310861423,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8251,
["jmenovatel"] = 534 },
["render"] = "\\frac{8251}{534}",
["typ"] = "cislo" },
["tex"] = "15\\frac{241}{534}",
["x"] = 15,
["y"] = 241,
["z"] = 534 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-5 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-5 - (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-5 - (-9))^4 + 11",
["typ"] = "plus" },
["render"] = "\\frac{13}{(-5 - (-9))^4 + 11}",
["typ"] = "lomeno" },
["render"] = "14 + 1\\frac{3}{6} - \\frac{13}{(-5 - (-9))^4 + 11}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.63, bodu=132, $$\frac{-10}{1\frac{3}{9}} \cdot 4\frac{5}{6} + 2 - 12 + 4\frac{1}{8}=\textcolor{white}{-42{,}125}$$return {
["body"] = 132,
["id"] = "7KC1VM_0428_1537",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -42.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -337,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1348}{32}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{1}{8}",
["tex_float"] = "-42{,}125",
["x"] = -42,
["y"] = 1,
["z"] = 8 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{3}{9}} \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2 - 12 + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-10}{1\\frac{3}{9}} \\cdot 4\\frac{5}{6} + 2 - 12 + 4\\frac{1}{8}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.64, bodu=105, $$\frac{\frac{-7}{-16 \cdot 7 - 2\frac{5}{9}}}{3 + 3\frac{1}{7}}=\textcolor{white}{\frac{441}{44333}}$$return {
["body"] = 105,
["id"] = "RkXhRl_0428_1537",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 0.0099474432138588,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 44333 },
["render"] = "\\frac{441}{44333}",
["typ"] = "cislo" },
["tex"] = "\\frac{441}{44333}",
["y"] = 441,
["z"] = 44333 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 7 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-7}{-16 \\cdot 7 - 2\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3 + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-7}{-16 \\cdot 7 - 2\\frac{5}{9}}}{3 + 3\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.65, bodu=200, $$\frac{(2\frac{3}{7} - 1\frac{3}{5} \cdot 12) \cdot 4\frac{2}{6}}{4\frac{3}{9} + 4\frac{3}{6}}=\textcolor{white}{-8\frac{422}{1855}}$$return {
["body"] = 200,
["id"] = "kUeTkL_0428_1537",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -8.2274932614555,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15262,
["jmenovatel"] = 1855 },
["render"] = "\\frac{-45786}{5565}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{422}{1855}",
["x"] = -8,
["y"] = 422,
["z"] = 1855 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 12",
["typ"] = "krat" },
["render"] = "2\\frac{3}{7} - 1\\frac{3}{5} \\cdot 12",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{7} - 1\\frac{3}{5} \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{7} - 1\\frac{3}{5} \\cdot 12) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + 4\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "\\frac{(2\\frac{3}{7} - 1\\frac{3}{5} \\cdot 12) \\cdot 4\\frac{2}{6}}{4\\frac{3}{9} + 4\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.66, bodu=84, $$(6 + \frac{-10}{1\frac{3}{12}} - 3)^2 + (\frac{-16}{12})^2=\textcolor{white}{26\frac{7}{9}}$$return {
["body"] = 84,
["id"] = "3d7fzY_0428_1537",
["obtiznost"] = 0.8804,
["reseni"] = {
["float"] = 26.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 241,
["jmenovatel"] = 9 },
["render"] = "\\frac{241}{9}",
["typ"] = "cislo" },
["tex"] = "26\\frac{7}{9}",
["x"] = 26,
["y"] = 7,
["z"] = 9 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.66",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{-10}{1\\frac{3}{12}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + \\frac{-10}{1\\frac{3}{12}} - 3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 + \\frac{-10}{1\\frac{3}{12}} - 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{12})^2",
["typ"] = "mocnina" },
["render"] = "(6 + \\frac{-10}{1\\frac{3}{12}} - 3)^2 + (\\frac{-16}{12})^2",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.67, bodu=109, $$-7 \cdot 4\frac{2}{4} \cdot (-14 + (-6)) + 1\frac{5}{10} + 15=\textcolor{white}{646{,}5}$$return {
["body"] = 109,
["id"] = "4OJynJ_0428_1537",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 646.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1293,
["jmenovatel"] = 2 },
["render"] = "\\frac{1293}{2}",
["typ"] = "cislo" },
["tex"] = "646\\frac{1}{2}",
["tex_float"] = "646{,}5",
["x"] = 646,
["y"] = 1,
["z"] = 2 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-14 + (-6)",
["typ"] = "plus" },
["render"] = "(-14 + (-6))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 4\\frac{2}{4} \\cdot (-14 + (-6))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + 15",
["typ"] = "plus" },
["render"] = "-7 \\cdot 4\\frac{2}{4} \\cdot (-14 + (-6)) + 1\\frac{5}{10} + 15",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.68, bodu=60, $$4 - \frac{10}{7} - (-6 \cdot 20)=\textcolor{white}{122\frac{4}{7}}$$return {
["body"] = 60,
["id"] = "o7wKXB_0428_1537",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 122.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 858,
["jmenovatel"] = 7 },
["render"] = "\\frac{858}{7}",
["typ"] = "cislo" },
["tex"] = "122\\frac{4}{7}",
["x"] = 122,
["y"] = 4,
["z"] = 7 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{10}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 20",
["typ"] = "krat" },
["render"] = "4 - \\frac{10}{7} - (-6 \\cdot 20)",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.69, bodu=124, $$(\frac{3\frac{2}{6} \cdot -19}{\frac{-13}{2\frac{4}{12}} + 3 + (-11)})^2=\textcolor{white}{21\frac{7}{9}}$$return {
["body"] = 124,
["id"] = "5RvdB2_0428_1537",
["obtiznost"] = 1.172,
["reseni"] = {
["float"] = 21.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 9 },
["render"] = "\\frac{196}{9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{9}",
["x"] = 21,
["y"] = 7,
["z"] = 9 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.69",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{12}} + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{12}} + 3 + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{6} \\cdot -19}{\\frac{-13}{2\\frac{4}{12}} + 3 + (-11)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{2}{6} \\cdot -19}{\\frac{-13}{2\\frac{4}{12}} + 3 + (-11)})^2",
["typ"] = "mocnina" } }
seed: LdTWW7i8XpceYGnGy8mY_0.7, bodu=86, $$-15 - 1\frac{3}{10} - \frac{-8 \cdot 16}{11}=\textcolor{white}{-4\frac{73}{110}}$$return {
["body"] = 86,
["id"] = "Ntkwc9_0428_1537",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -4.6636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -513,
["jmenovatel"] = 110 },
["render"] = "\\frac{-513}{110}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{73}{110}",
["x"] = -4,
["y"] = 73,
["z"] = 110 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 16}{11}",
["typ"] = "lomeno" },
["render"] = "-15 - 1\\frac{3}{10} - \\frac{-8 \\cdot 16}{11}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.71, bodu=79, $$\frac{6}{(8 - (-10))^2 \cdot -11 \cdot 12}=\textcolor{white}{-\frac{1}{7128}}$$return {
["body"] = 79,
["id"] = "ggmiJq_0428_1537",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -0.00014029180695847,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 7128 },
["render"] = "\\frac{6}{-42768}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{7128}",
["y"] = -1,
["z"] = 7128 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(8 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 12",
["typ"] = "krat" },
["render"] = "(8 - (-10))^2 \\cdot -11 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{6}{(8 - (-10))^2 \\cdot -11 \\cdot 12}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.72, bodu=89, $$16 + (10 - 17) \cdot \frac{8}{10} + 3\frac{1}{8}=\textcolor{white}{13{,}525}$$return {
["body"] = 89,
["id"] = "DUkjkC_0428_1537",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 13.525,
["objekt"] = {
["hodnota"] = {
["citatel"] = 541,
["jmenovatel"] = 40 },
["render"] = "\\frac{541}{40}",
["typ"] = "cislo" },
["tex"] = "13\\frac{21}{40}",
["tex_float"] = "13{,}525",
["x"] = 13,
["y"] = 21,
["z"] = 40 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "10 - 17",
["typ"] = "minus" },
["render"] = "(10 - 17)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10}",
["typ"] = "lomeno" },
["render"] = "(10 - 17) \\cdot \\frac{8}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "(10 - 17) \\cdot \\frac{8}{10} + 3\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "16 + (10 - 17) \\cdot \\frac{8}{10} + 3\\frac{1}{8}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.73, bodu=179, $$(8 + 14)^2 \cdot \frac{12}{1\frac{3}{10} + 1\frac{2}{9}} + 3\frac{4}{9}=\textcolor{white}{2306\frac{359}{2043}}$$return {
["body"] = 179,
["id"] = "6hMzMN_0428_1537",
["obtiznost"] = 1.524,
["reseni"] = {
["float"] = 2306.1757219775,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4711517,
["jmenovatel"] = 2043 },
["render"] = "\\frac{4711517}{2043}",
["typ"] = "cislo" },
["tex"] = "2306\\frac{359}{2043}",
["x"] = 2306,
["y"] = 359,
["z"] = 2043 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "\\frac{12}{1\\frac{3}{10} + 1\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "(8 + 14)^2 \\cdot \\frac{12}{1\\frac{3}{10} + 1\\frac{2}{9}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(8 + 14)^2 \\cdot \\frac{12}{1\\frac{3}{10} + 1\\frac{2}{9}} + 3\\frac{4}{9}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.74, bodu=33, $$16 + (-14 \cdot (-12 \cdot 12 + (-12)) + 4)=\textcolor{white}{2204}$$return {
["body"] = 33,
["id"] = "PrTg2g_0428_1537",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2204,
["jmenovatel"] = 1 },
["render"] = "\\frac{2204}{1}",
["typ"] = "cislo" },
["tex"] = "2204",
["x"] = 2204 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 12 + (-12)",
["typ"] = "plus" },
["render"] = "(-12 \\cdot 12 + (-12))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (-12 \\cdot 12 + (-12))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-14 \\cdot (-12 \\cdot 12 + (-12)) + 4",
["typ"] = "plus" },
["render"] = "16 + (-14 \\cdot (-12 \\cdot 12 + (-12)) + 4)",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.75, bodu=93, $$\frac{-9 \cdot 2\frac{3}{8} \cdot -21 \cdot -11}{16}=\textcolor{white}{-308\frac{77}{128}}$$return {
["body"] = 93,
["id"] = "MSaMCY_0428_1537",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -308.6015625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39501,
["jmenovatel"] = 128 },
["render"] = "\\frac{-39501}{128}",
["typ"] = "cislo" },
["tex"] = "-308\\frac{77}{128}",
["x"] = -308,
["y"] = 77,
["z"] = 128 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -11",
["typ"] = "krat" },
["render"] = "2\\frac{3}{8} \\cdot -21 \\cdot -11",
["typ"] = "krat" },
["render"] = "-9 \\cdot 2\\frac{3}{8} \\cdot -21 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 2\\frac{3}{8} \\cdot -21 \\cdot -11}{16}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.76, bodu=122, $$\frac{7 + (-10) + (-4)}{4\frac{3}{7} \cdot 2\frac{1}{9}} - 11=\textcolor{white}{-11\frac{441}{589}}$$return {
["body"] = 122,
["id"] = "Zv883X_0428_1537",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -11.748726655348,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6920,
["jmenovatel"] = 589 },
["render"] = "\\frac{-6920}{589}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{441}{589}",
["x"] = -11,
["y"] = 441,
["z"] = 589 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 + (-10) + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 2\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "\\frac{7 + (-10) + (-4)}{4\\frac{3}{7} \\cdot 2\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7 + (-10) + (-4)}{4\\frac{3}{7} \\cdot 2\\frac{1}{9}} - 11",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.77, bodu=148, $$\frac{3\frac{1}{6} + (-11)}{1\frac{4}{9} + (-9 + (-11))^2 - 9} \cdot -7=\textcolor{white}{\frac{987}{7064}}$$return {
["body"] = 148,
["id"] = "xwCzJ7_0428_1537",
["obtiznost"] = 1.3304,
["reseni"] = {
["float"] = 0.13972253680634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 987,
["jmenovatel"] = 7064 },
["render"] = "\\frac{987}{7064}",
["typ"] = "cislo" },
["tex"] = "\\frac{987}{7064}",
["y"] = 987,
["z"] = 7064 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-9 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-9 + (-11))^2 - 9",
["typ"] = "minus" },
["render"] = "1\\frac{4}{9} + (-9 + (-11))^2 - 9",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{6} + (-11)}{1\\frac{4}{9} + (-9 + (-11))^2 - 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6} + (-11)}{1\\frac{4}{9} + (-9 + (-11))^2 - 9} \\cdot -7",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.78, bodu=97, $$-21 + (-16 \cdot (12 + (-20 - (2\frac{4}{9} + (-10))))) + 6=\textcolor{white}{-7\frac{8}{9}}$$return {
["body"] = 97,
["id"] = "skzcWg_0428_1537",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -7.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 9 },
["render"] = "\\frac{-71}{9}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{9}",
["x"] = -7,
["y"] = 8,
["z"] = 9 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + (-10)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{9} + (-10))",
["typ"] = "zavorka" },
["render"] = "-20 - (2\\frac{4}{9} + (-10))",
["typ"] = "minus" },
["render"] = "12 + (-20 - (2\\frac{4}{9} + (-10)))",
["typ"] = "plus" },
["render"] = "(12 + (-20 - (2\\frac{4}{9} + (-10))))",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot (12 + (-20 - (2\\frac{4}{9} + (-10))))",
["typ"] = "krat" },
["render"] = "-21 + (-16 \\cdot (12 + (-20 - (2\\frac{4}{9} + (-10)))))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-21 + (-16 \\cdot (12 + (-20 - (2\\frac{4}{9} + (-10))))) + 6",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.79, bodu=157, $$\frac{\frac{3\frac{2}{10}}{3\frac{1}{9} + 12 \cdot -15}}{1\frac{5}{13}}=\textcolor{white}{-\frac{13}{995}}$$return {
["body"] = 157,
["id"] = "Qoa1Sy_0428_1537",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -0.013065326633166,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 995 },
["render"] = "\\frac{-234}{17910}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{995}",
["y"] = -13,
["z"] = 995 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "12 \\cdot -15",
["typ"] = "krat" },
["render"] = "3\\frac{1}{9} + 12 \\cdot -15",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{10}}{3\\frac{1}{9} + 12 \\cdot -15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{10}}{3\\frac{1}{9} + 12 \\cdot -15}}{1\\frac{5}{13}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.8, bodu=159, $$\frac{1\frac{2}{7} + 1\frac{3}{6} + 3\frac{5}{11} \cdot 12}{13} \cdot (-11 - 15)=\textcolor{white}{-88\frac{37}{77}}$$return {
["body"] = 159,
["id"] = "0kZzNX_0428_1537",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -88.480519480519,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6813,
["jmenovatel"] = 77 },
["render"] = "\\frac{-177138}{2002}",
["typ"] = "cislo" },
["tex"] = "-88\\frac{37}{77}",
["x"] = -88,
["y"] = 37,
["z"] = 77 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{3}{6} + 3\\frac{5}{11} \\cdot 12",
["typ"] = "plus" },
["render"] = "1\\frac{2}{7} + 1\\frac{3}{6} + 3\\frac{5}{11} \\cdot 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7} + 1\\frac{3}{6} + 3\\frac{5}{11} \\cdot 12}{13}",
["typ"] = "lomeno" },
["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"] = "\\frac{1\\frac{2}{7} + 1\\frac{3}{6} + 3\\frac{5}{11} \\cdot 12}{13} \\cdot (-11 - 15)",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.81, bodu=129, $$\frac{\frac{-17}{3\frac{5}{10}}}{\frac{2\frac{5}{13}}{-15}} \cdot 8=\textcolor{white}{244\frac{92}{217}}$$return {
["body"] = 129,
["id"] = "a4UkRx_0428_1537",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 244.42396313364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53040,
["jmenovatel"] = 217 },
["render"] = "\\frac{53040}{217}",
["typ"] = "cislo" },
["tex"] = "244\\frac{92}{217}",
["x"] = 244,
["y"] = 92,
["z"] = 217 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-17}{3\\frac{5}{10}}}{\\frac{2\\frac{5}{13}}{-15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-17}{3\\frac{5}{10}}}{\\frac{2\\frac{5}{13}}{-15}} \\cdot 8",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.82, bodu=171, $$(4\frac{2}{5} - 17 - (-11))^3 - (1\frac{1}{7} - 6) \cdot 4\frac{3}{3}=\textcolor{white}{20\frac{166}{875}}$$return {
["body"] = 171,
["id"] = "QrpY4a_0428_1537",
["obtiznost"] = 1.4748,
["reseni"] = {
["float"] = 20.189714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17666,
["jmenovatel"] = 875 },
["render"] = "\\frac{17666}{875}",
["typ"] = "cislo" },
["tex"] = "20\\frac{166}{875}",
["x"] = 20,
["y"] = 166,
["z"] = 875 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.82",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - 17 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{2}{5} - 17 - (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - 6",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{7} - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{7} - 6) \\cdot 4\\frac{3}{3}",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{5} - 17 - (-11))^3 - (1\\frac{1}{7} - 6) \\cdot 4\\frac{3}{3}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.83, bodu=137, $$\frac{\frac{4\frac{2}{10} - 15}{4\frac{1}{8}}}{12 \cdot (\frac{-14}{12})^2}=\textcolor{white}{-\frac{432}{2695}}$$return {
["body"] = 137,
["id"] = "eLQilb_0428_1537",
["obtiznost"] = 1.264,
["reseni"] = {
["float"] = -0.16029684601113,
["objekt"] = {
["hodnota"] = {
["citatel"] = -432,
["jmenovatel"] = 2695 },
["render"] = "\\frac{-432}{2695}",
["typ"] = "cislo" },
["tex"] = "-\\frac{432}{2695}",
["y"] = -432,
["z"] = 2695 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10} - 15}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{12})^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot (\\frac{-14}{12})^2",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{2}{10} - 15}{4\\frac{1}{8}}}{12 \\cdot (\\frac{-14}{12})^2}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.84, bodu=134, $$\frac{13}{-22} \cdot 3\frac{5}{8} \cdot 3\frac{5}{10} \cdot -19=\textcolor{white}{142\frac{157}{352}}$$return {
["body"] = 134,
["id"] = "LTthUg_0428_1537",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 142.44602272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50141,
["jmenovatel"] = 352 },
["render"] = "\\frac{50141}{352}",
["typ"] = "cislo" },
["tex"] = "142\\frac{157}{352}",
["x"] = 142,
["y"] = 157,
["z"] = 352 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-22}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot 3\\frac{5}{10} \\cdot -19",
["typ"] = "krat" },
["render"] = "\\frac{13}{-22} \\cdot 3\\frac{5}{8} \\cdot 3\\frac{5}{10} \\cdot -19",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.85, bodu=236, $$2\frac{1}{6} \cdot (2\frac{4}{14} - (-4) + 17 + 2\frac{4}{13}) + \frac{4\frac{1}{7}}{3\frac{5}{11}}=\textcolor{white}{56\frac{260}{399}}$$return {
["body"] = 236,
["id"] = "hUATF9_0428_1537",
["obtiznost"] = 1.85,
["reseni"] = {
["float"] = 56.651629072682,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22604,
["jmenovatel"] = 399 },
["render"] = "\\frac{632912}{11172}",
["typ"] = "cislo" },
["tex"] = "56\\frac{260}{399}",
["x"] = 56,
["y"] = 260,
["z"] = 399 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} - (-4)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "17 + 2\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "2\\frac{4}{14} - (-4) + 17 + 2\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{14} - (-4) + 17 + 2\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{6} \\cdot (2\\frac{4}{14} - (-4) + 17 + 2\\frac{4}{13})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7}}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{6} \\cdot (2\\frac{4}{14} - (-4) + 17 + 2\\frac{4}{13}) + \\frac{4\\frac{1}{7}}{3\\frac{5}{11}}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.86, bodu=137, $$15 \cdot (2\frac{1}{7} - \frac{-17}{-9}) - (-10 - 3\frac{4}{9})=\textcolor{white}{17\frac{16}{63}}$$return {
["body"] = 137,
["id"] = "84cho1_0428_1537",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 17.253968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1087,
["jmenovatel"] = 63 },
["render"] = "\\frac{3261}{189}",
["typ"] = "cislo" },
["tex"] = "17\\frac{16}{63}",
["x"] = 17,
["y"] = 16,
["z"] = 63 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-9}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{7} - \\frac{-17}{-9}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - \\frac{-17}{-9})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (2\\frac{1}{7} - \\frac{-17}{-9})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-10 - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-10 - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (2\\frac{1}{7} - \\frac{-17}{-9}) - (-10 - 3\\frac{4}{9})",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.87, bodu=170, $$\frac{15}{17} + 12 - (3\frac{3}{7} - (13 \cdot 3\frac{1}{9} + 3\frac{1}{8}))=\textcolor{white}{53\frac{199}{8568}}$$return {
["body"] = 170,
["id"] = "qvpbti_0428_1537",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 53.023225957049,
["objekt"] = {
["hodnota"] = {
["citatel"] = 454303,
["jmenovatel"] = 8568 },
["render"] = "\\frac{454303}{8568}",
["typ"] = "cislo" },
["tex"] = "53\\frac{199}{8568}",
["x"] = 53,
["y"] = 199,
["z"] = 8568 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{15}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{15}{17} + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{1}{9} + 3\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(13 \\cdot 3\\frac{1}{9} + 3\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} - (13 \\cdot 3\\frac{1}{9} + 3\\frac{1}{8})",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{7} - (13 \\cdot 3\\frac{1}{9} + 3\\frac{1}{8}))",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{17} + 12 - (3\\frac{3}{7} - (13 \\cdot 3\\frac{1}{9} + 3\\frac{1}{8}))",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.88, bodu=172, $$\frac{23 + 3\frac{4}{11} + 3\frac{2}{3}}{9 + 11 - \frac{1\frac{3}{11}}{-11}}=\textcolor{white}{1\frac{3599}{7302}}$$return {
["body"] = 172,
["id"] = "SK7psT_0428_1537",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 1.4928786633799,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10901,
["jmenovatel"] = 7302 },
["render"] = "\\frac{119911}{80322}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3599}{7302}",
["x"] = 1,
["y"] = 3599,
["z"] = 7302 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "23 + 3\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "23 + 3\\frac{4}{11} + 3\\frac{2}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{11}}{-11}",
["typ"] = "lomeno" },
["render"] = "9 + 11 - \\frac{1\\frac{3}{11}}{-11}",
["typ"] = "minus" },
["render"] = "\\frac{23 + 3\\frac{4}{11} + 3\\frac{2}{3}}{9 + 11 - \\frac{1\\frac{3}{11}}{-11}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.89, bodu=173, $$\frac{-17 + 2\frac{1}{6}}{\frac{\frac{22}{12 \cdot 3\frac{4}{12}}}{4\frac{2}{13}}}=\textcolor{white}{-112\frac{4}{143}}$$return {
["body"] = 173,
["id"] = "nO9MHx_0428_1537",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -112.02797202797,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16020,
["jmenovatel"] = 143 },
["render"] = "\\frac{-96120}{858}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{4}{143}",
["x"] = -112,
["y"] = 4,
["z"] = 143 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-17 + 2\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{4}{12}",
["typ"] = "krat" },
["render"] = "\\frac{22}{12 \\cdot 3\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{22}{12 \\cdot 3\\frac{4}{12}}}{4\\frac{2}{13}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-17 + 2\\frac{1}{6}}{\\frac{\\frac{22}{12 \\cdot 3\\frac{4}{12}}}{4\\frac{2}{13}}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.9, bodu=151, $$\frac{(\frac{-18}{14})^2}{\frac{\frac{2\frac{1}{4}}{4\frac{1}{8}}}{-10}}=\textcolor{white}{-30\frac{15}{49}}$$return {
["body"] = 151,
["id"] = "ixK6h3_0428_1537",
["obtiznost"] = 1.352,
["reseni"] = {
["float"] = -30.30612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1485,
["jmenovatel"] = 49 },
["render"] = "\\frac{4455}{-147}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{15}{49}",
["x"] = -30,
["y"] = 15,
["z"] = 49 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.9",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-18}{14})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4}}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{1}{4}}{4\\frac{1}{8}}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{-18}{14})^2}{\\frac{\\frac{2\\frac{1}{4}}{4\\frac{1}{8}}}{-10}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.91, bodu=211, $$\frac{\frac{3\frac{2}{13}}{-9}}{\frac{1\frac{1}{11} + 2\frac{1}{8}}{4\frac{1}{4} \cdot -9}}=\textcolor{white}{4\frac{618}{3679}}$$return {
["body"] = 211,
["id"] = "LAJs8Z_0428_1537",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 4.1679804294645,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15334,
["jmenovatel"] = 3679 },
["render"] = "\\frac{-138006}{-33111}",
["typ"] = "cislo" },
["tex"] = "4\\frac{618}{3679}",
["x"] = 4,
["y"] = 618,
["z"] = 3679 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 13 },
["render"] = "3\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{13}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} + 2\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{11} + 2\\frac{1}{8}}{4\\frac{1}{4} \\cdot -9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{2}{13}}{-9}}{\\frac{1\\frac{1}{11} + 2\\frac{1}{8}}{4\\frac{1}{4} \\cdot -9}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.92, bodu=183, $$\frac{1\frac{4}{5}}{10 \cdot (4 - 12)^2} + \frac{4\frac{3}{4}}{3\frac{2}{10}}=\textcolor{white}{1\frac{1559}{3200}}$$return {
["body"] = 183,
["id"] = "g61gm4_0428_1537",
["obtiznost"] = 1.546,
["reseni"] = {
["float"] = 1.4871875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4759,
["jmenovatel"] = 3200 },
["render"] = "\\frac{304576}{204800}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1559}{3200}",
["x"] = 1,
["y"] = 1559,
["z"] = 3200 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 12)^2",
["typ"] = "mocnina" },
["render"] = "10 \\cdot (4 - 12)^2",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{5}}{10 \\cdot (4 - 12)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{4}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{5}}{10 \\cdot (4 - 12)^2} + \\frac{4\\frac{3}{4}}{3\\frac{2}{10}}",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.93, bodu=214, $$(1\frac{2}{6} + 23 - (-14)) \cdot 1\frac{3}{6} - 1\frac{4}{8} \cdot 3\frac{2}{8}=\textcolor{white}{52{,}625}$$return {
["body"] = 214,
["id"] = "ZkmQqW_0428_1537",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 52.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 421,
["jmenovatel"] = 8 },
["render"] = "\\frac{842}{16}",
["typ"] = "cislo" },
["tex"] = "52\\frac{5}{8}",
["tex_float"] = "52{,}625",
["x"] = 52,
["y"] = 5,
["z"] = 8 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "23 - (-14)",
["typ"] = "minus" },
["render"] = "1\\frac{2}{6} + 23 - (-14)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{6} + 23 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{6} + 23 - (-14)) \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "(1\\frac{2}{6} + 23 - (-14)) \\cdot 1\\frac{3}{6} - 1\\frac{4}{8} \\cdot 3\\frac{2}{8}",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.94, bodu=181, $$(4\frac{2}{9} + (-24)) \cdot \frac{-13}{3\frac{3}{9} + \frac{3\frac{1}{10}}{-13}}=\textcolor{white}{83\frac{277}{3621}}$$return {
["body"] = 181,
["id"] = "3MPG7Y_0428_1537",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 83.076498204916,
["objekt"] = {
["hodnota"] = {
["citatel"] = 300820,
["jmenovatel"] = 3621 },
["render"] = "\\frac{902460}{10863}",
["typ"] = "cislo" },
["tex"] = "83\\frac{277}{3621}",
["x"] = 83,
["y"] = 277,
["z"] = 3621 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + (-24)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{9} + (-24))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{10}}{-13}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{9} + \\frac{3\\frac{1}{10}}{-13}",
["typ"] = "plus" },
["render"] = "\\frac{-13}{3\\frac{3}{9} + \\frac{3\\frac{1}{10}}{-13}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{2}{9} + (-24)) \\cdot \\frac{-13}{3\\frac{3}{9} + \\frac{3\\frac{1}{10}}{-13}}",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.95, bodu=183, $$-11 + (3\frac{5}{10} \cdot 3\frac{1}{6} - \frac{4\frac{1}{5}}{-14}) \cdot -21=\textcolor{white}{-250{,}05}$$return {
["body"] = 183,
["id"] = "GpcTe1_0428_1537",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -250.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5001,
["jmenovatel"] = 20 },
["render"] = "\\frac{-5001}{20}",
["typ"] = "cislo" },
["tex"] = "-250\\frac{1}{20}",
["tex_float"] = "-250{,}05",
["x"] = -250,
["y"] = 1,
["z"] = 20 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-14}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{1}{6} - \\frac{4\\frac{1}{5}}{-14}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} \\cdot 3\\frac{1}{6} - \\frac{4\\frac{1}{5}}{-14})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{10} \\cdot 3\\frac{1}{6} - \\frac{4\\frac{1}{5}}{-14}) \\cdot -21",
["typ"] = "krat" },
["render"] = "-11 + (3\\frac{5}{10} \\cdot 3\\frac{1}{6} - \\frac{4\\frac{1}{5}}{-14}) \\cdot -21",
["typ"] = "plus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.96, bodu=185, $$4\frac{4}{13} \cdot 11 \cdot 1\frac{2}{7} - (20 \cdot 11 - 3\frac{4}{12})=\textcolor{white}{-155\frac{29}{39}}$$return {
["body"] = 185,
["id"] = "Yavt0W_0428_1537",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -155.74358974359,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6074,
["jmenovatel"] = 39 },
["render"] = "\\frac{-6074}{39}",
["typ"] = "cislo" },
["tex"] = "-155\\frac{29}{39}",
["x"] = -155,
["y"] = 29,
["z"] = 39 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{13} \\cdot 11 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "20 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "20 \\cdot 11 - 3\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "(20 \\cdot 11 - 3\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{13} \\cdot 11 \\cdot 1\\frac{2}{7} - (20 \\cdot 11 - 3\\frac{4}{12})",
["typ"] = "minus" } }
seed: LdTWW7i8XpceYGnGy8mY_0.97, bodu=258, $$\frac{4\frac{3}{9} + \frac{14}{2\frac{2}{9}} + (-10) + 4\frac{3}{7} + 1\frac{1}{3}}{-16 - 1\frac{5}{13}}=\textcolor{white}{-\frac{17459}{47460}}$$return {
["body"] = 258,
["id"] = "YyVMOI_0428_1537",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = -0.36786767804467,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17459,
["jmenovatel"] = 47460 },
["render"] = "\\frac{17459}{-47460}",
["typ"] = "cislo" },
["tex"] = "-\\frac{17459}{47460}",
["y"] = -17459,
["z"] = 47460 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{9} + \\frac{14}{2\\frac{2}{9}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + \\frac{14}{2\\frac{2}{9}} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "4\\frac{3}{9} + \\frac{14}{2\\frac{2}{9}} + (-10) + 4\\frac{3}{7} + 1\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-16 - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{9} + \\frac{14}{2\\frac{2}{9}} + (-10) + 4\\frac{3}{7} + 1\\frac{1}{3}}{-16 - 1\\frac{5}{13}}",
["typ"] = "lomeno" } }
seed: LdTWW7i8XpceYGnGy8mY_0.98, bodu=188, $$1\frac{3}{11} \cdot -16 \cdot 1\frac{4}{11} \cdot (-11 + (-22) - 3\frac{1}{6})=\textcolor{white}{1004\frac{36}{121}}$$return {
["body"] = 188,
["id"] = "rG4OXa_0428_1537",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 1004.2975206612,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121520,
["jmenovatel"] = 121 },
["render"] = "\\frac{121520}{121}",
["typ"] = "cislo" },
["tex"] = "1004\\frac{36}{121}",
["x"] = 1004,
["y"] = 36,
["z"] = 121 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 1\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "-11 + (-22)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-11 + (-22) - 3\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(-11 + (-22) - 3\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot 1\\frac{4}{11} \\cdot (-11 + (-22) - 3\\frac{1}{6})",
["typ"] = "krat" },
["render"] = "1\\frac{3}{11} \\cdot -16 \\cdot 1\\frac{4}{11} \\cdot (-11 + (-22) - 3\\frac{1}{6})",
["typ"] = "krat" } }
seed: LdTWW7i8XpceYGnGy8mY_0.99, bodu=98, $$\frac{18}{\frac{\frac{-9 \cdot 16}{4}}{-10}}=\textcolor{white}{5}$$return {
["body"] = 98,
["id"] = "IqJBtq_0428_1537",
["obtiznost"] = 0.99,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{18}",
["typ"] = "cislo" },
["tex"] = "5",
["tex_float"] = "5",
["x"] = 5 },
["seed"] = "LdTWW7i8XpceYGnGy8mY_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 16}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9 \\cdot 16}{4}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{18}{\\frac{\\frac{-9 \\cdot 16}{4}}{-10}}",
["typ"] = "lomeno" } }
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
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dribble_good_arabic.gif: 
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ecstatic.gif: 
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happy_animation_by_strawberrycrescent-d9qi27u.gif: 
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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: 
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