- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: UCUKettd75eHVSd5Y1Bb_0, bodu=5, $$10 \cdot 4 \cdot (4 - 6)^4=\textcolor{white}{640}$$return {
["body"] = 5,
["id"] = "Dgc9pv_1029_1822",
["obtiznost"] = 0.0068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 640,
["jmenovatel"] = 1 },
["render"] = "\\frac{640}{1}",
["typ"] = "cislo" },
["tex"] = "640",
["x"] = 640 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(4 - 6)^4",
["typ"] = "mocnina" },
["render"] = "10 \\cdot 4 \\cdot (4 - 6)^4",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.01, bodu=5, $$7 - 11 \cdot 6 - 6=\textcolor{white}{-65}$$return {
["body"] = 5,
["id"] = "1C7pbX_1029_1822",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 1 },
["render"] = "\\frac{-65}{1}",
["typ"] = "cislo" },
["tex"] = "-65",
["x"] = -65 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6",
["typ"] = "krat" },
["render"] = "7 - 11 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 11 \\cdot 6 - 6",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.02, bodu=5, $$2 \cdot -8 \cdot 4=\textcolor{white}{-64}$$return {
["body"] = 5,
["id"] = "aqQgEC_1029_1822",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 1 },
["render"] = "\\frac{-64}{1}",
["typ"] = "cislo" },
["tex"] = "-64",
["tex_float"] = "-64",
["x"] = -64 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4",
["typ"] = "krat" },
["render"] = "2 \\cdot -8 \\cdot 4",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.03, bodu=10, $$\frac{-8}{3 + 8} - 7=\textcolor{white}{-7\frac{8}{11}}$$return {
["body"] = 10,
["id"] = "e3jhXs_1029_1822",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -7.7272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 11 },
["render"] = "\\frac{-85}{11}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{11}",
["x"] = -7,
["y"] = 8,
["z"] = 11 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-8}{3 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3 + 8} - 7",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.04, bodu=6, $$(7 - 5 - 7 - 9)^2=\textcolor{white}{196}$$return {
["body"] = 6,
["id"] = "yo8o6K_1029_1822",
["obtiznost"] = 0.1188,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 1 },
["render"] = "\\frac{196}{1}",
["typ"] = "cislo" },
["tex"] = "196",
["tex_float"] = "196",
["x"] = 196 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.04",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 5 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 5 - 7 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 5 - 7 - 9)^2",
["typ"] = "mocnina" } }
seed: UCUKettd75eHVSd5Y1Bb_0.05, bodu=11, $$(\frac{2}{(\frac{8}{8})^4})^4=\textcolor{white}{16}$$return {
["body"] = 11,
["id"] = "IlHTkh_1029_1822",
["obtiznost"] = 0.0576,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{2}{(\\frac{8}{8})^4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{2}{(\\frac{8}{8})^4})^4",
["typ"] = "mocnina" } }
seed: UCUKettd75eHVSd5Y1Bb_0.06, bodu=5, $$(7 - 8)^3 \cdot -8 \cdot 6=\textcolor{white}{48}$$return {
["body"] = 5,
["id"] = "fo8JEA_1029_1822",
["obtiznost"] = 0.0608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 1 },
["render"] = "\\frac{48}{1}",
["typ"] = "cislo" },
["tex"] = "48",
["tex_float"] = "48",
["x"] = 48 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(7 - 8)^3 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 - 8)^3 \\cdot -8 \\cdot 6",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.07, bodu=11, $$\frac{5}{\frac{-5 + 3}{11}}=\textcolor{white}{-27{,}5}$$return {
["body"] = 11,
["id"] = "1dQI3g_1029_1822",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -27.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 2 },
["render"] = "\\frac{55}{-2}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{1}{2}",
["tex_float"] = "-27{,}5",
["x"] = -27,
["y"] = 1,
["z"] = 2 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-5 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-5 + 3}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-5 + 3}{11}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.08, bodu=7, $$6 + 7 \cdot (7 - (-5))^2=\textcolor{white}{1014}$$return {
["body"] = 7,
["id"] = "to4NGm_1029_1822",
["obtiznost"] = 0.138,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1014,
["jmenovatel"] = 1 },
["render"] = "\\frac{1014}{1}",
["typ"] = "cislo" },
["tex"] = "1014",
["x"] = 1014 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (7 - (-5))^2",
["typ"] = "krat" },
["render"] = "6 + 7 \\cdot (7 - (-5))^2",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.09, bodu=24, $$\frac{10 + (-8)}{6 - (4\frac{5}{8} + (-4))}=\textcolor{white}{\frac{16}{43}}$$return {
["body"] = 24,
["id"] = "ZDg1cd_1029_1822",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 0.37209302325581,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 43 },
["render"] = "\\frac{16}{43}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{43}",
["y"] = 16,
["z"] = 43 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + (-4)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{8} + (-4))",
["typ"] = "zavorka" },
["render"] = "6 - (4\\frac{5}{8} + (-4))",
["typ"] = "minus" },
["render"] = "\\frac{10 + (-8)}{6 - (4\\frac{5}{8} + (-4))}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.1, bodu=6, $$-6 - 4 + (8 - 7)^4=\textcolor{white}{-9}$$return {
["body"] = 6,
["id"] = "2TsgUq_1029_1822",
["obtiznost"] = 0.1008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9}{1}",
["typ"] = "cislo" },
["tex"] = "-9",
["tex_float"] = "-9",
["x"] = -9 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 - 4",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 7)^4",
["typ"] = "mocnina" },
["render"] = "-6 - 4 + (8 - 7)^4",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.11, bodu=25, $$\frac{4\frac{1}{3} - (-5)}{7} - 7=\textcolor{white}{-5\frac{2}{3}}$$return {
["body"] = 25,
["id"] = "D73QyP_1029_1822",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -5.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 3 },
["render"] = "\\frac{-17}{3}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{2}{3}",
["x"] = -5,
["y"] = 2,
["z"] = 3 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{3} - (-5)}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{3} - (-5)}{7} - 7",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.12, bodu=13, $$\frac{\frac{-5}{2 - 5}}{10}=\textcolor{white}{\frac{1}{6}}$$return {
["body"] = 13,
["id"] = "uaLvGk_1029_1822",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 6 },
["render"] = "\\frac{5}{30}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{6}",
["y"] = 1,
["z"] = 6 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2 - 5",
["typ"] = "minus" },
["render"] = "\\frac{-5}{2 - 5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{2 - 5}}{10}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.13, bodu=14, $$\frac{-5}{7} + 10 + 5=\textcolor{white}{14\frac{2}{7}}$$return {
["body"] = 14,
["id"] = "LIwYqq_1029_1822",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 14.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 7 },
["render"] = "\\frac{100}{7}",
["typ"] = "cislo" },
["tex"] = "14\\frac{2}{7}",
["x"] = 14,
["y"] = 2,
["z"] = 7 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + 5",
["typ"] = "plus" },
["render"] = "\\frac{-5}{7} + 10 + 5",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.14, bodu=7, $$4 \cdot 10 - (-7 - 4)=\textcolor{white}{51}$$return {
["body"] = 7,
["id"] = "XbaVmB_1029_1822",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 1 },
["render"] = "\\frac{51}{1}",
["typ"] = "cislo" },
["tex"] = "51",
["x"] = 51 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 \\cdot 10",
["typ"] = "krat" },
["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"] = "4 \\cdot 10 - (-7 - 4)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.15, bodu=7, $$(7 + 8) \cdot 4 \cdot 3=\textcolor{white}{180}$$return {
["body"] = 7,
["id"] = "ccyDqK_1029_1822",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["x"] = 180 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(7 + 8) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(7 + 8) \\cdot 4 \\cdot 3",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.16, bodu=29, $$11 \cdot 8 \cdot (2\frac{5}{10} + (-13))=\textcolor{white}{-924}$$return {
["body"] = 29,
["id"] = "7ZuvLh_1029_1822",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -924,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1848}{2}",
["typ"] = "cislo" },
["tex"] = "-924",
["x"] = -924 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + (-13)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} + (-13))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot 8 \\cdot (2\\frac{5}{10} + (-13))",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.17, bodu=16, $$\frac{8}{-13} \cdot (7 + (-4))=\textcolor{white}{-1\frac{11}{13}}$$return {
["body"] = 16,
["id"] = "jF7DN8_1029_1822",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -1.8461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 13 },
["render"] = "\\frac{-24}{13}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{11}{13}",
["x"] = -1,
["y"] = 11,
["z"] = 13 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "plus" },
["render"] = "(7 + (-4))",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{-13} \\cdot (7 + (-4))",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.18, bodu=21, $$\frac{-6}{(\frac{-7}{11})^2}=\textcolor{white}{-14\frac{40}{49}}$$return {
["body"] = 21,
["id"] = "fBBQpz_1029_1822",
["obtiznost"] = 0.248,
["reseni"] = {
["float"] = -14.816326530612,
["objekt"] = {
["hodnota"] = {
["citatel"] = -726,
["jmenovatel"] = 49 },
["render"] = "\\frac{-726}{49}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{40}{49}",
["x"] = -14,
["y"] = 40,
["z"] = 49 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{11})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-6}{(\\frac{-7}{11})^2}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.19, bodu=31, $$3\frac{4}{7} \cdot 10 + 6 + 4=\textcolor{white}{45\frac{5}{7}}$$return {
["body"] = 31,
["id"] = "GOmOwO_1029_1822",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 45.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 320,
["jmenovatel"] = 7 },
["render"] = "\\frac{320}{7}",
["typ"] = "cislo" },
["tex"] = "45\\frac{5}{7}",
["x"] = 45,
["y"] = 5,
["z"] = 7 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 10 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 10 + 6 + 4",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.2, bodu=18, $$\frac{\frac{-4}{7}}{-9 \cdot 6}=\textcolor{white}{\frac{2}{189}}$$return {
["body"] = 18,
["id"] = "PHTvcr_1029_1822",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 0.010582010582011,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 189 },
["render"] = "\\frac{-4}{-378}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{189}",
["y"] = 2,
["z"] = 189 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-4}{7}}{-9 \\cdot 6}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.21, bodu=9, $$-6 - (-12 \cdot 5) - 8=\textcolor{white}{46}$$return {
["body"] = 9,
["id"] = "9cnWv1_1029_1822",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 1 },
["render"] = "\\frac{46}{1}",
["typ"] = "cislo" },
["tex"] = "46",
["x"] = 46 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 5",
["typ"] = "krat" },
["render"] = "-6 - (-12 \\cdot 5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 - (-12 \\cdot 5) - 8",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.22, bodu=23, $$6 - \frac{(\frac{7}{11})^2}{9}=\textcolor{white}{5\frac{1040}{1089}}$$return {
["body"] = 23,
["id"] = "L1TGd4_1029_1822",
["obtiznost"] = 0.288,
["reseni"] = {
["float"] = 5.9550045913682,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6485,
["jmenovatel"] = 1089 },
["render"] = "\\frac{6485}{1089}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1040}{1089}",
["x"] = 5,
["y"] = 1040,
["z"] = 1089 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{11})^2}{9}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{(\\frac{7}{11})^2}{9}",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.23, bodu=35, $$\frac{\frac{6}{11} + 4\frac{5}{9} + 7}{9}=\textcolor{white}{1\frac{307}{891}}$$return {
["body"] = 35,
["id"] = "PZ6jdG_1029_1822",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 1.34455667789,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1198,
["jmenovatel"] = 891 },
["render"] = "\\frac{1198}{891}",
["typ"] = "cislo" },
["tex"] = "1\\frac{307}{891}",
["x"] = 1,
["y"] = 307,
["z"] = 891 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{6}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 7",
["typ"] = "plus" },
["render"] = "\\frac{6}{11} + 4\\frac{5}{9} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{11} + 4\\frac{5}{9} + 7}{9}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.24, bodu=39, $$3\frac{3}{5} \cdot (-7 + 10)^4 \cdot -10=\textcolor{white}{-2916}$$return {
["body"] = 39,
["id"] = "lZ6Ka7_1029_1822",
["obtiznost"] = 0.4728,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2916,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14580}{5}",
["typ"] = "cislo" },
["tex"] = "-2916",
["tex_float"] = "-2916",
["x"] = -2916 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 10)^4",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{5} \\cdot (-7 + 10)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot (-7 + 10)^4 \\cdot -10",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.25, bodu=10, $$10 - (-7 - 10 + 9 \cdot 10)=\textcolor{white}{-63}$$return {
["body"] = 10,
["id"] = "zesaem_1029_1822",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -63,
["jmenovatel"] = 1 },
["render"] = "\\frac{-63}{1}",
["typ"] = "cislo" },
["tex"] = "-63",
["x"] = -63 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 \\cdot 10",
["typ"] = "krat" },
["render"] = "-7 - 10 + 9 \\cdot 10",
["typ"] = "plus" },
["render"] = "(-7 - 10 + 9 \\cdot 10)",
["typ"] = "zavorka" },
["render"] = "10 - (-7 - 10 + 9 \\cdot 10)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.26, bodu=38, $$10 - 4\frac{2}{6} + 9 + \frac{-10}{-8}=\textcolor{white}{15\frac{11}{12}}$$return {
["body"] = 38,
["id"] = "Q2vwKo_1029_1822",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 15.916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 12 },
["render"] = "\\frac{191}{12}",
["typ"] = "cislo" },
["tex"] = "15\\frac{11}{12}",
["x"] = 15,
["y"] = 11,
["z"] = 12 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "9 + \\frac{-10}{-8}",
["typ"] = "plus" },
["render"] = "10 - 4\\frac{2}{6} + 9 + \\frac{-10}{-8}",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.27, bodu=33, $$(\frac{-11 - 3}{12 + 5 + (-13)})^3=\textcolor{white}{-42{,}875}$$return {
["body"] = 33,
["id"] = "vCYJdb_1029_1822",
["obtiznost"] = 0.4104,
["reseni"] = {
["float"] = -42.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 8 },
["render"] = "\\frac{-343}{8}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{7}{8}",
["tex_float"] = "-42{,}875",
["x"] = -42,
["y"] = 7,
["z"] = 8 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.27",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-11 - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 + 5 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{-11 - 3}{12 + 5 + (-13)}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-11 - 3}{12 + 5 + (-13)})^3",
["typ"] = "mocnina" } }
seed: UCUKettd75eHVSd5Y1Bb_0.28, bodu=23, $$(12 - 11 + \frac{-9}{10 + 8})^4=\textcolor{white}{\frac{1}{16}}$$return {
["body"] = 23,
["id"] = "muLzb3_1029_1822",
["obtiznost"] = 0.2868,
["reseni"] = {
["float"] = 0.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 16 },
["render"] = "\\frac{1}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{16}",
["y"] = 1,
["z"] = 16 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.28",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-9}{10 + 8}",
["typ"] = "lomeno" },
["render"] = "12 - 11 + \\frac{-9}{10 + 8}",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 - 11 + \\frac{-9}{10 + 8})^4",
["typ"] = "mocnina" } }
seed: UCUKettd75eHVSd5Y1Bb_0.29, bodu=40, $$\frac{\frac{-7}{\frac{-8}{3\frac{4}{7}}}}{3}=\textcolor{white}{1\frac{1}{24}}$$return {
["body"] = 40,
["id"] = "gUuUYU_1029_1822",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 1.0416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 24 },
["render"] = "\\frac{25}{24}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{24}",
["x"] = 1,
["y"] = 1,
["z"] = 24 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{-8}{3\\frac{4}{7}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{\\frac{-8}{3\\frac{4}{7}}}}{3}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.3, bodu=62, $$(\frac{4\frac{2}{7} \cdot 4}{5 \cdot 9})^2=\textcolor{white}{\frac{64}{441}}$$return {
["body"] = 62,
["id"] = "LeiXyt_1029_1822",
["obtiznost"] = 0.702,
["reseni"] = {
["float"] = 0.14512471655329,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 441 },
["render"] = "\\frac{64}{441}",
["typ"] = "cislo" },
["tex"] = "\\frac{64}{441}",
["y"] = 64,
["z"] = 441 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.3",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{7} \\cdot 4}{5 \\cdot 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{2}{7} \\cdot 4}{5 \\cdot 9})^2",
["typ"] = "mocnina" } }
seed: UCUKettd75eHVSd5Y1Bb_0.31, bodu=42, $$3\frac{4}{7} \cdot 9 \cdot -4 + 9=\textcolor{white}{-119\frac{4}{7}}$$return {
["body"] = 42,
["id"] = "BYM0Z9_1029_1822",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -119.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -837,
["jmenovatel"] = 7 },
["render"] = "\\frac{-837}{7}",
["typ"] = "cislo" },
["tex"] = "-119\\frac{4}{7}",
["x"] = -119,
["y"] = 4,
["z"] = 7 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 9 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 9 \\cdot -4 + 9",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.32, bodu=26, $$\frac{8}{-11} - (-8 - 10)=\textcolor{white}{17\frac{3}{11}}$$return {
["body"] = 26,
["id"] = "3nrKTP_1029_1822",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 17.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 190,
["jmenovatel"] = 11 },
["render"] = "\\frac{190}{11}",
["typ"] = "cislo" },
["tex"] = "17\\frac{3}{11}",
["x"] = 17,
["y"] = 3,
["z"] = 11 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 10",
["typ"] = "minus" },
["render"] = "(-8 - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{-11} - (-8 - 10)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.33, bodu=13, $$9 - (10 - 12 - (-11 + (-5)))=\textcolor{white}{-5}$$return {
["body"] = 13,
["id"] = "FvUJVQ_1029_1822",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["x"] = -5 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-11 + (-5)",
["typ"] = "plus" },
["render"] = "(-11 + (-5))",
["typ"] = "zavorka" },
["render"] = "10 - 12 - (-11 + (-5))",
["typ"] = "minus" },
["render"] = "(10 - 12 - (-11 + (-5)))",
["typ"] = "zavorka" },
["render"] = "9 - (10 - 12 - (-11 + (-5)))",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.34, bodu=27, $$\frac{6}{-6 + (-9) - 5 \cdot -9}=\textcolor{white}{0{,}2}$$return {
["body"] = 27,
["id"] = "QkBN26_1029_1822",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 5 },
["render"] = "\\frac{6}{30}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{5}",
["tex_float"] = "0{,}2",
["y"] = 1,
["z"] = 5 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.34",
["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"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 \\cdot -9",
["typ"] = "krat" },
["render"] = "-6 + (-9) - 5 \\cdot -9",
["typ"] = "minus" },
["render"] = "\\frac{6}{-6 + (-9) - 5 \\cdot -9}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.35, bodu=28, $$\frac{8 \cdot 6 \cdot -4}{-9}=\textcolor{white}{21\frac{1}{3}}$$return {
["body"] = 28,
["id"] = "OIiqAT_1029_1822",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 21.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 3 },
["render"] = "\\frac{-192}{-9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1}{3}",
["x"] = 21,
["y"] = 1,
["z"] = 3 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 6 \\cdot -4}{-9}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.36, bodu=47, $$3 \cdot 5 - (-7) - (-9 + 4\frac{3}{4})=\textcolor{white}{26{,}25}$$return {
["body"] = 47,
["id"] = "sLVGMn_1029_1822",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 26.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 105,
["jmenovatel"] = 4 },
["render"] = "\\frac{105}{4}",
["typ"] = "cislo" },
["tex"] = "26\\frac{1}{4}",
["tex_float"] = "26{,}25",
["x"] = 26,
["y"] = 1,
["z"] = 4 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 5 - (-7)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "(-9 + 4\\frac{3}{4})",
["typ"] = "zavorka" },
["render"] = "3 \\cdot 5 - (-7) - (-9 + 4\\frac{3}{4})",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.37, bodu=48, $$1\frac{1}{5} + 10 + (-14 + (-10 \cdot -9))=\textcolor{white}{87{,}2}$$return {
["body"] = 48,
["id"] = "eW3H7R_1029_1822",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 87.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 436,
["jmenovatel"] = 5 },
["render"] = "\\frac{436}{5}",
["typ"] = "cislo" },
["tex"] = "87\\frac{1}{5}",
["tex_float"] = "87{,}2",
["x"] = 87,
["y"] = 1,
["z"] = 5 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["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"] = "-14 + (-10 \\cdot -9)",
["typ"] = "plus" },
["render"] = "1\\frac{1}{5} + 10 + (-14 + (-10 \\cdot -9))",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.38, bodu=31, $$\frac{3\frac{5}{5} + (-7)}{10 \cdot -12 - 14}=\textcolor{white}{\frac{3}{134}}$$return {
["body"] = 31,
["id"] = "AGbkx5_1029_1822",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.022388059701493,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 134 },
["render"] = "\\frac{-3}{-134}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{134}",
["y"] = 3,
["z"] = 134 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{5} + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12 - 14",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{5} + (-7)}{10 \\cdot -12 - 14}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.39, bodu=50, $$\frac{15 \cdot 8 + 1\frac{4}{7}}{7 + 9}=\textcolor{white}{7\frac{67}{112}}$$return {
["body"] = 50,
["id"] = "5Q6M4k_1029_1822",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 7.5982142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 851,
["jmenovatel"] = 112 },
["render"] = "\\frac{851}{112}",
["typ"] = "cislo" },
["tex"] = "7\\frac{67}{112}",
["x"] = 7,
["y"] = 67,
["z"] = 112 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 8 + 1\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["render"] = "\\frac{15 \\cdot 8 + 1\\frac{4}{7}}{7 + 9}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.4, bodu=32, $$-7 - \frac{-8 + (-13)}{-7 - 10}=\textcolor{white}{-8\frac{4}{17}}$$return {
["body"] = 32,
["id"] = "UR8Mqq_1029_1822",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -8.2352941176471,
["objekt"] = {
["hodnota"] = {
["citatel"] = -140,
["jmenovatel"] = 17 },
["render"] = "\\frac{-140}{17}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{17}",
["x"] = -8,
["y"] = 4,
["z"] = 17 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - 10",
["typ"] = "minus" },
["render"] = "\\frac{-8 + (-13)}{-7 - 10}",
["typ"] = "lomeno" },
["render"] = "-7 - \\frac{-8 + (-13)}{-7 - 10}",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.41, bodu=29, $$(-13 + 8)^4 \cdot -15 + (-12 - 6) + (-15)=\textcolor{white}{-9408}$$return {
["body"] = 29,
["id"] = "6neeS3_1029_1822",
["obtiznost"] = 0.6604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9408,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9408}{1}",
["typ"] = "cislo" },
["tex"] = "-9408",
["x"] = -9408 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 + 8",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-13 + 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-13 + 8)^4 \\cdot -15",
["typ"] = "krat" },
["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"] = "(-13 + 8)^4 \\cdot -15 + (-12 - 6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-13 + 8)^4 \\cdot -15 + (-12 - 6) + (-15)",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.42, bodu=34, $$-7 - 10 - \frac{9 \cdot 6}{6}=\textcolor{white}{-26}$$return {
["body"] = 34,
["id"] = "1oDKf0_1029_1822",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 1 },
["render"] = "\\frac{-26}{1}",
["typ"] = "cislo" },
["tex"] = "-26",
["tex_float"] = "-26",
["x"] = -26 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.42",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 6}{6}",
["typ"] = "lomeno" },
["render"] = "-7 - 10 - \\frac{9 \\cdot 6}{6}",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.43, bodu=78, $$\frac{13 - 3\frac{2}{7} - 6}{-13 \cdot 4\frac{3}{5}}=\textcolor{white}{-\frac{10}{161}}$$return {
["body"] = 78,
["id"] = "agAdxf_1029_1822",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -0.062111801242236,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 161 },
["render"] = "\\frac{130}{-2093}",
["typ"] = "cislo" },
["tex"] = "-\\frac{10}{161}",
["y"] = -10,
["z"] = 161 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{2}{7} - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "\\frac{13 - 3\\frac{2}{7} - 6}{-13 \\cdot 4\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.44, bodu=56, $$\frac{(6 - 5) \cdot -15}{1\frac{5}{9} + 7}=\textcolor{white}{-1\frac{58}{77}}$$return {
["body"] = 56,
["id"] = "ZUy1dk_1029_1822",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = -1.7532467532468,
["objekt"] = {
["hodnota"] = {
["citatel"] = -135,
["jmenovatel"] = 77 },
["render"] = "\\frac{-135}{77}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{58}{77}",
["x"] = -1,
["y"] = 58,
["z"] = 77 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["render"] = "(6 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(6 - 5) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 7",
["typ"] = "plus" },
["render"] = "\\frac{(6 - 5) \\cdot -15}{1\\frac{5}{9} + 7}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.45, bodu=57, $$10 + \frac{-7}{\frac{5}{3\frac{5}{9} - 11}}=\textcolor{white}{20\frac{19}{45}}$$return {
["body"] = 57,
["id"] = "IAYqO7_1029_1822",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 20.422222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 919,
["jmenovatel"] = 45 },
["render"] = "\\frac{919}{45}",
["typ"] = "cislo" },
["tex"] = "20\\frac{19}{45}",
["x"] = 20,
["y"] = 19,
["z"] = 45 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 11",
["typ"] = "minus" },
["render"] = "\\frac{5}{3\\frac{5}{9} - 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{5}{3\\frac{5}{9} - 11}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{-7}{\\frac{5}{3\\frac{5}{9} - 11}}",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.46, bodu=43, $$\frac{\frac{(8 - (-3))^2}{4} + 8}{(-11 + 13)^3}=\textcolor{white}{4\frac{25}{32}}$$return {
["body"] = 43,
["id"] = "0AU2rq_1029_1822",
["obtiznost"] = 0.5124,
["reseni"] = {
["float"] = 4.78125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 153,
["jmenovatel"] = 32 },
["render"] = "\\frac{153}{32}",
["typ"] = "cislo" },
["tex"] = "4\\frac{25}{32}",
["x"] = 4,
["y"] = 25,
["z"] = 32 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 - (-3)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-3))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - (-3))^2}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - (-3))^2}{4} + 8",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 13)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{(8 - (-3))^2}{4} + 8}{(-11 + 13)^3}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.47, bodu=83, $$8 \cdot \frac{3\frac{5}{8} \cdot 4\frac{1}{7}}{-12}=\textcolor{white}{-10\frac{1}{84}}$$return {
["body"] = 83,
["id"] = "Wv7TfZ_1029_1822",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -10.011904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -841,
["jmenovatel"] = 84 },
["render"] = "\\frac{-6728}{672}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1}{84}",
["x"] = -10,
["y"] = 1,
["z"] = 84 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8} \\cdot 4\\frac{1}{7}}{-12}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{3\\frac{5}{8} \\cdot 4\\frac{1}{7}}{-12}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.48, bodu=84, $$6 \cdot \frac{3\frac{4}{7} + 10}{\frac{-11}{2\frac{1}{3}}}=\textcolor{white}{-17\frac{3}{11}}$$return {
["body"] = 84,
["id"] = "Mr8CtM_1029_1822",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -17.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -190,
["jmenovatel"] = 11 },
["render"] = "\\frac{-570}{33}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{3}{11}",
["x"] = -17,
["y"] = 3,
["z"] = 11 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{7} + 10}{\\frac{-11}{2\\frac{1}{3}}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{3\\frac{4}{7} + 10}{\\frac{-11}{2\\frac{1}{3}}}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.49, bodu=65, $$5 - (\frac{-6}{1\frac{2}{2}})^4 \cdot 1\frac{5}{12} - 3=\textcolor{white}{-112{,}75}$$return {
["body"] = 65,
["id"] = "AmK3or_1029_1822",
["obtiznost"] = 0.7228,
["reseni"] = {
["float"] = -112.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -451,
["jmenovatel"] = 4 },
["render"] = "\\frac{-451}{4}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{3}{4}",
["tex_float"] = "-112{,}75",
["x"] = -112,
["y"] = 3,
["z"] = 4 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{1\\frac{2}{2}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{1\\frac{2}{2}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{1\\frac{2}{2}})^4 \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "5 - (\\frac{-6}{1\\frac{2}{2}})^4 \\cdot 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 - (\\frac{-6}{1\\frac{2}{2}})^4 \\cdot 1\\frac{5}{12} - 3",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.5, bodu=62, $$-10 \cdot 13 + \frac{-8}{3 - 2\frac{2}{9}}=\textcolor{white}{-140\frac{2}{7}}$$return {
["body"] = 62,
["id"] = "BMMiCr_1029_1822",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -140.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -982,
["jmenovatel"] = 7 },
["render"] = "\\frac{-982}{7}",
["typ"] = "cislo" },
["tex"] = "-140\\frac{2}{7}",
["x"] = -140,
["y"] = 2,
["z"] = 7 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3 - 2\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-8}{3 - 2\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot 13 + \\frac{-8}{3 - 2\\frac{2}{9}}",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.51, bodu=144, $$1\frac{1}{8} - 7 - (2\frac{1}{6} - (3\frac{2}{6} + 1\frac{3}{7} + 11))=\textcolor{white}{7\frac{121}{168}}$$return {
["body"] = 144,
["id"] = "GR7fHO_1029_1822",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 7.7202380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1297,
["jmenovatel"] = 168 },
["render"] = "\\frac{2594}{336}",
["typ"] = "cislo" },
["tex"] = "7\\frac{121}{168}",
["x"] = 7,
["y"] = 121,
["z"] = 168 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - 7",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + 11",
["typ"] = "plus" },
["render"] = "3\\frac{2}{6} + 1\\frac{3}{7} + 11",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{6} + 1\\frac{3}{7} + 11)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{6} - (3\\frac{2}{6} + 1\\frac{3}{7} + 11)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - (3\\frac{2}{6} + 1\\frac{3}{7} + 11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} - 7 - (2\\frac{1}{6} - (3\\frac{2}{6} + 1\\frac{3}{7} + 11))",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.52, bodu=43, $$\frac{\frac{6}{-14}}{13 + \frac{7}{12}}=\textcolor{white}{-\frac{36}{1141}}$$return {
["body"] = 43,
["id"] = "erCC0y_1029_1822",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -0.031551270815074,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 1141 },
["render"] = "\\frac{-36}{1141}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36}{1141}",
["y"] = -36,
["z"] = 1141 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{7}{12}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{7}{12}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{6}{-14}}{13 + \\frac{7}{12}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.53, bodu=48, $$4 - ((\frac{8}{-12})^4 + 6 - 10)=\textcolor{white}{7\frac{65}{81}}$$return {
["body"] = 48,
["id"] = "HbTMqv_1029_1822",
["obtiznost"] = 0.5688,
["reseni"] = {
["float"] = 7.8024691358025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 632,
["jmenovatel"] = 81 },
["render"] = "\\frac{632}{81}",
["typ"] = "cislo" },
["tex"] = "7\\frac{65}{81}",
["x"] = 7,
["y"] = 65,
["z"] = 81 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{-12})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["render"] = "(\\frac{8}{-12})^4 + 6 - 10",
["typ"] = "plus" },
["render"] = "((\\frac{8}{-12})^4 + 6 - 10)",
["typ"] = "zavorka" },
["render"] = "4 - ((\\frac{8}{-12})^4 + 6 - 10)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.54, bodu=67, $$\frac{-11 - 3\frac{5}{9}}{-10} \cdot \frac{7}{-13}=\textcolor{white}{-\frac{917}{1170}}$$return {
["body"] = 67,
["id"] = "9sSHU0_1029_1822",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -0.78376068376068,
["objekt"] = {
["hodnota"] = {
["citatel"] = -917,
["jmenovatel"] = 1170 },
["render"] = "\\frac{-917}{1170}",
["typ"] = "cislo" },
["tex"] = "-\\frac{917}{1170}",
["y"] = -917,
["z"] = 1170 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - 3\\frac{5}{9}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 - 3\\frac{5}{9}}{-10} \\cdot \\frac{7}{-13}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.55, bodu=122, $$\frac{2\frac{4}{9}}{4\frac{4}{11}} + ((\frac{14}{7})^3 + (-16))^3=\textcolor{white}{-511\frac{95}{216}}$$return {
["body"] = 122,
["id"] = "UwPflz_1029_1822",
["obtiznost"] = 1.1588,
["reseni"] = {
["float"] = -511.43981481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -110471,
["jmenovatel"] = 216 },
["render"] = "\\frac{-110471}{216}",
["typ"] = "cislo" },
["tex"] = "-511\\frac{95}{216}",
["x"] = -511,
["y"] = 95,
["z"] = 216 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{14}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(\\frac{14}{7})^3 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "((\\frac{14}{7})^3 + (-16))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{4}{9}}{4\\frac{4}{11}} + ((\\frac{14}{7})^3 + (-16))^3",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.56, bodu=94, $$-11 - 14 - (12 + 3\frac{2}{3} + 6 \cdot 1\frac{1}{3})=\textcolor{white}{-48\frac{2}{3}}$$return {
["body"] = 94,
["id"] = "Wvuw7Q_1029_1822",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -48.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 3 },
["render"] = "\\frac{-146}{3}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{2}{3}",
["x"] = -48,
["y"] = 2,
["z"] = 3 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 - 14",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{3} + 6 \\cdot 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "12 + 3\\frac{2}{3} + 6 \\cdot 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(12 + 3\\frac{2}{3} + 6 \\cdot 1\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "-11 - 14 - (12 + 3\\frac{2}{3} + 6 \\cdot 1\\frac{1}{3})",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.57, bodu=108, $$(10 \cdot 1\frac{4}{8})^2 \cdot (-16 \cdot 4\frac{2}{7} - 15)=\textcolor{white}{-18803\frac{4}{7}}$$return {
["body"] = 108,
["id"] = "5tK8Mp_1029_1822",
["obtiznost"] = 1.0604,
["reseni"] = {
["float"] = -18803.571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -131625,
["jmenovatel"] = 7 },
["render"] = "\\frac{-131625}{7}",
["typ"] = "cislo" },
["tex"] = "-18803\\frac{4}{7}",
["x"] = -18803,
["y"] = 4,
["z"] = 7 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.57",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot 1\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{2}{7} - 15",
["typ"] = "minus" },
["render"] = "(-16 \\cdot 4\\frac{2}{7} - 15)",
["typ"] = "zavorka" },
["render"] = "(10 \\cdot 1\\frac{4}{8})^2 \\cdot (-16 \\cdot 4\\frac{2}{7} - 15)",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.58, bodu=88, $$\frac{(\frac{9}{-12})^4 + 1\frac{3}{7}}{-11 - 8}=\textcolor{white}{-\frac{3127}{34048}}$$return {
["body"] = 88,
["id"] = "mz9cnj_1029_1822",
["obtiznost"] = 0.9148,
["reseni"] = {
["float"] = -0.091840930451128,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3127,
["jmenovatel"] = 34048 },
["render"] = "\\frac{3127}{-34048}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3127}{34048}",
["y"] = -3127,
["z"] = 34048 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9}{-12})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-12})^4 + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 - 8",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{9}{-12})^4 + 1\\frac{3}{7}}{-11 - 8}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.59, bodu=108, $$\frac{(14 - (-12))^2}{15 + \frac{4\frac{4}{10}}{-13}}=\textcolor{white}{46\frac{102}{953}}$$return {
["body"] = 108,
["id"] = "gorzcm_1029_1822",
["obtiznost"] = 1.0608,
["reseni"] = {
["float"] = 46.10703043022,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43940,
["jmenovatel"] = 953 },
["render"] = "\\frac{43940}{953}",
["typ"] = "cislo" },
["tex"] = "46\\frac{102}{953}",
["x"] = 46,
["y"] = 102,
["z"] = 953 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{-13}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{4\\frac{4}{10}}{-13}",
["typ"] = "plus" },
["render"] = "\\frac{(14 - (-12))^2}{15 + \\frac{4\\frac{4}{10}}{-13}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.6, bodu=106, $$((16 - 11)^4 - 6) \cdot 8 - 1\frac{1}{4} + (-11)=\textcolor{white}{4939{,}75}$$return {
["body"] = 106,
["id"] = "GEbnzl_1029_1822",
["obtiznost"] = 1.0504,
["reseni"] = {
["float"] = 4939.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19759,
["jmenovatel"] = 4 },
["render"] = "\\frac{19759}{4}",
["typ"] = "cislo" },
["tex"] = "4939\\frac{3}{4}",
["tex_float"] = "4939{,}75",
["x"] = 4939,
["y"] = 3,
["z"] = 4 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "16 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(16 - 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(16 - 11)^4 - 6",
["typ"] = "minus" },
["render"] = "((16 - 11)^4 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "((16 - 11)^4 - 6) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "((16 - 11)^4 - 6) \\cdot 8 - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "((16 - 11)^4 - 6) \\cdot 8 - 1\\frac{1}{4} + (-11)",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.61, bodu=75, $$\frac{-12}{-10 + \frac{4\frac{5}{11}}{-10}} - (-13 - 8)=\textcolor{white}{22\frac{57}{383}}$$return {
["body"] = 75,
["id"] = "GVG3zG_1029_1822",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 22.148825065274,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8483,
["jmenovatel"] = 383 },
["render"] = "\\frac{8483}{383}",
["typ"] = "cislo" },
["tex"] = "22\\frac{57}{383}",
["x"] = 22,
["y"] = 57,
["z"] = 383 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{-10}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{4\\frac{5}{11}}{-10}",
["typ"] = "plus" },
["render"] = "\\frac{-12}{-10 + \\frac{4\\frac{5}{11}}{-10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 - 8",
["typ"] = "minus" },
["render"] = "(-13 - 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{-12}{-10 + \\frac{4\\frac{5}{11}}{-10}} - (-13 - 8)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.62, bodu=53, $$\frac{\frac{14}{6} - \frac{-7}{-8}}{13}=\textcolor{white}{\frac{35}{312}}$$return {
["body"] = 53,
["id"] = "rrktxI_1029_1822",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 0.11217948717949,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 312 },
["render"] = "\\frac{35}{312}",
["typ"] = "cislo" },
["tex"] = "\\frac{35}{312}",
["y"] = 35,
["z"] = 312 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{14}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{6} - \\frac{-7}{-8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{6} - \\frac{-7}{-8}}{13}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.63, bodu=78, $$(7 \cdot -9 - (-10 - 13)) \cdot 3\frac{1}{9}=\textcolor{white}{-124\frac{4}{9}}$$return {
["body"] = 78,
["id"] = "ZSOr6g_1029_1822",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -124.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1120,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1120}{9}",
["typ"] = "cislo" },
["tex"] = "-124\\frac{4}{9}",
["x"] = -124,
["y"] = 4,
["z"] = 9 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 - 13",
["typ"] = "minus" },
["render"] = "(-10 - 13)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot -9 - (-10 - 13)",
["typ"] = "minus" },
["render"] = "(7 \\cdot -9 - (-10 - 13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "(7 \\cdot -9 - (-10 - 13)) \\cdot 3\\frac{1}{9}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.64, bodu=105, $$-15 \cdot \frac{4\frac{1}{8}}{4\frac{4}{7}} + 12 - (13 - (-12))=\textcolor{white}{-26\frac{137}{256}}$$return {
["body"] = 105,
["id"] = "X7xPZX_1029_1822",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -26.53515625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6793,
["jmenovatel"] = 256 },
["render"] = "\\frac{-6793}{256}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{137}{256}",
["x"] = -26,
["y"] = 137,
["z"] = 256 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot \\frac{4\\frac{1}{8}}{4\\frac{4}{7}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 \\cdot \\frac{4\\frac{1}{8}}{4\\frac{4}{7}} + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "13 - (-12)",
["typ"] = "minus" },
["render"] = "(13 - (-12))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot \\frac{4\\frac{1}{8}}{4\\frac{4}{7}} + 12 - (13 - (-12))",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.65, bodu=135, $$-9 \cdot 1\frac{4}{9} - (2\frac{4}{7} - 1\frac{4}{9} \cdot 11)=\textcolor{white}{\frac{20}{63}}$$return {
["body"] = 135,
["id"] = "XtcArh_1029_1822",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 0.31746031746032,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 63 },
["render"] = "\\frac{20}{63}",
["typ"] = "cislo" },
["tex"] = "\\frac{20}{63}",
["y"] = 20,
["z"] = 63 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} - 1\\frac{4}{9} \\cdot 11",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{7} - 1\\frac{4}{9} \\cdot 11)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot 1\\frac{4}{9} - (2\\frac{4}{7} - 1\\frac{4}{9} \\cdot 11)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.66, bodu=81, $$\frac{\frac{1\frac{4}{9}}{-8 \cdot -10}}{5 + (-6 + (-12))}=\textcolor{white}{-\frac{1}{720}}$$return {
["body"] = 81,
["id"] = "JStgKD_1029_1822",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -0.0013888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 720 },
["render"] = "\\frac{13}{-9360}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{720}",
["y"] = -1,
["z"] = 720 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{9}}{-8 \\cdot -10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-6 + (-12)",
["typ"] = "plus" },
["render"] = "5 + (-6 + (-12))",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{4}{9}}{-8 \\cdot -10}}{5 + (-6 + (-12))}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.67, bodu=138, $$\frac{\frac{2\frac{3}{9}}{-6}}{\frac{10}{3\frac{5}{12}} + 1\frac{3}{6}}=\textcolor{white}{-\frac{287}{3267}}$$return {
["body"] = 138,
["id"] = "017VUm_1029_1822",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -0.08784817875727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -287,
["jmenovatel"] = 3267 },
["render"] = "\\frac{-574}{6534}",
["typ"] = "cislo" },
["tex"] = "-\\frac{287}{3267}",
["y"] = -287,
["z"] = 3267 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{5}{12}} + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{3}{9}}{-6}}{\\frac{10}{3\\frac{5}{12}} + 1\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.68, bodu=111, $$\frac{3\frac{4}{8} \cdot -20 \cdot -6}{10} \cdot 2\frac{3}{12}=\textcolor{white}{94{,}5}$$return {
["body"] = 111,
["id"] = "GmQ1FM_1029_1822",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 94.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 189,
["jmenovatel"] = 2 },
["render"] = "\\frac{378}{4}",
["typ"] = "cislo" },
["tex"] = "94\\frac{1}{2}",
["tex_float"] = "94{,}5",
["x"] = 94,
["y"] = 1,
["z"] = 2 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot -20 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} \\cdot -20 \\cdot -6}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} \\cdot -20 \\cdot -6}{10} \\cdot 2\\frac{3}{12}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.69, bodu=141, $$9 \cdot (1\frac{3}{11} - 9 + 1\frac{3}{12}) + (-13 + 2\frac{1}{3} + 21)=\textcolor{white}{-47\frac{127}{132}}$$return {
["body"] = 141,
["id"] = "wbY30K_1029_1822",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -47.962121212121,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6331,
["jmenovatel"] = 132 },
["render"] = "\\frac{-6331}{132}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{127}{132}",
["x"] = -47,
["y"] = 127,
["z"] = 132 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 9 + 1\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{11} - 9 + 1\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (1\\frac{3}{11} - 9 + 1\\frac{3}{12})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{1}{3} + 21",
["typ"] = "plus" },
["render"] = "9 \\cdot (1\\frac{3}{11} - 9 + 1\\frac{3}{12}) + (-13 + 2\\frac{1}{3} + 21)",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.7, bodu=86, $$\frac{\frac{4\frac{4}{9} + (-14) + 12 \cdot 17}{16}}{-3}=\textcolor{white}{-4\frac{11}{216}}$$return {
["body"] = 86,
["id"] = "aIrOjc_1029_1822",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -4.0509259259259,
["objekt"] = {
["hodnota"] = {
["citatel"] = -875,
["jmenovatel"] = 216 },
["render"] = "\\frac{875}{-216}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{11}{216}",
["x"] = -4,
["y"] = 11,
["z"] = 216 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "12 \\cdot 17",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} + (-14) + 12 \\cdot 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9} + (-14) + 12 \\cdot 17}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{9} + (-14) + 12 \\cdot 17}{16}}{-3}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.71, bodu=144, $$\frac{4\frac{5}{6} - (-9)}{3\frac{4}{7} - 10} \cdot 1\frac{4}{11}=\textcolor{white}{-2\frac{185}{198}}$$return {
["body"] = 144,
["id"] = "nxH5ug_1029_1822",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -2.9343434343434,
["objekt"] = {
["hodnota"] = {
["citatel"] = -581,
["jmenovatel"] = 198 },
["render"] = "\\frac{-8715}{2970}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{185}{198}",
["x"] = -2,
["y"] = 185,
["z"] = 198 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{6} - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - 10",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{6} - (-9)}{3\\frac{4}{7} - 10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{6} - (-9)}{3\\frac{4}{7} - 10} \\cdot 1\\frac{4}{11}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.72, bodu=146, $$\frac{\frac{2\frac{4}{9}}{4\frac{2}{6}}}{\frac{-8}{1\frac{2}{7}} - 15}=\textcolor{white}{-\frac{66}{2483}}$$return {
["body"] = 146,
["id"] = "zYMQGG_1029_1822",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -0.026580749093838,
["objekt"] = {
["hodnota"] = {
["citatel"] = -66,
["jmenovatel"] = 2483 },
["render"] = "\\frac{198}{-7449}",
["typ"] = "cislo" },
["tex"] = "-\\frac{66}{2483}",
["y"] = -66,
["z"] = 2483 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{2}{7}} - 15",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{2\\frac{4}{9}}{4\\frac{2}{6}}}{\\frac{-8}{1\\frac{2}{7}} - 15}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.73, bodu=118, $$\frac{\frac{2\frac{2}{10}}{2\frac{3}{7}} - (-18 + (-14 \cdot -12))}{-17}=\textcolor{white}{8\frac{1113}{1445}}$$return {
["body"] = 118,
["id"] = "f62vH4_1029_1822",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 8.7702422145329,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12673,
["jmenovatel"] = 1445 },
["render"] = "\\frac{-12673}{-1445}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1113}{1445}",
["x"] = 8,
["y"] = 1113,
["z"] = 1445 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{10}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -12",
["typ"] = "krat" },
["render"] = "-18 + (-14 \\cdot -12)",
["typ"] = "plus" },
["render"] = "(-18 + (-14 \\cdot -12))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{2}{10}}{2\\frac{3}{7}} - (-18 + (-14 \\cdot -12))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{2}{10}}{2\\frac{3}{7}} - (-18 + (-14 \\cdot -12))}{-17}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.74, bodu=92, $$-16 - \frac{-4}{\frac{1\frac{4}{9}}{9}} \cdot -13=\textcolor{white}{-340}$$return {
["body"] = 92,
["id"] = "fUdvXX_1029_1822",
["obtiznost"] = 0.94,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -340,
["jmenovatel"] = 1 },
["render"] = "\\frac{-340}{1}",
["typ"] = "cislo" },
["tex"] = "-340",
["x"] = -340 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{\\frac{1\\frac{4}{9}}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{\\frac{1\\frac{4}{9}}{9}} \\cdot -13",
["typ"] = "krat" },
["render"] = "-16 - \\frac{-4}{\\frac{1\\frac{4}{9}}{9}} \\cdot -13",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.75, bodu=120, $$\frac{2\frac{1}{8}}{1\frac{5}{12}} \cdot (-15 + 10) \cdot 13=\textcolor{white}{-97{,}5}$$return {
["body"] = 120,
["id"] = "18ag35_1029_1822",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -97.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -195,
["jmenovatel"] = 2 },
["render"] = "\\frac{-195}{2}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{1}{2}",
["tex_float"] = "-97{,}5",
["x"] = -97,
["y"] = 1,
["z"] = 2 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-15 + 10",
["typ"] = "plus" },
["render"] = "(-15 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-15 + 10) \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{8}}{1\\frac{5}{12}} \\cdot (-15 + 10) \\cdot 13",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.76, bodu=227, $$(13 - (1\frac{5}{8} - 1\frac{5}{12})^2 - \frac{17}{1\frac{4}{11}}) \cdot 1\frac{2}{4}=\textcolor{white}{\frac{1411}{1920}}$$return {
["body"] = 227,
["id"] = "Oom2B8_1029_1822",
["obtiznost"] = 1.8004,
["reseni"] = {
["float"] = 0.73489583333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1411,
["jmenovatel"] = 1920 },
["render"] = "\\frac{4233}{5760}",
["typ"] = "cislo" },
["tex"] = "\\frac{1411}{1920}",
["y"] = 1411,
["z"] = 1920 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 1\\frac{5}{12}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{8} - 1\\frac{5}{12})^2",
["typ"] = "mocnina" },
["render"] = "13 - (1\\frac{5}{8} - 1\\frac{5}{12})^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "13 - (1\\frac{5}{8} - 1\\frac{5}{12})^2 - \\frac{17}{1\\frac{4}{11}}",
["typ"] = "minus" },
["render"] = "(13 - (1\\frac{5}{8} - 1\\frac{5}{12})^2 - \\frac{17}{1\\frac{4}{11}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(13 - (1\\frac{5}{8} - 1\\frac{5}{12})^2 - \\frac{17}{1\\frac{4}{11}}) \\cdot 1\\frac{2}{4}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.77, bodu=123, $$(1\frac{3}{8} + 20) \cdot (-13 - \frac{-15}{3\frac{2}{10}}) \cdot 13=\textcolor{white}{-2309\frac{107}{128}}$$return {
["body"] = 123,
["id"] = "gy8Biu_1029_1822",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -2309.8359375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -295659,
["jmenovatel"] = 128 },
["render"] = "\\frac{-295659}{128}",
["typ"] = "cislo" },
["tex"] = "-2309\\frac{107}{128}",
["x"] = -2309,
["y"] = 107,
["z"] = 128 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + 20",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + 20)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{-15}{3\\frac{2}{10}}",
["typ"] = "minus" },
["render"] = "(-13 - \\frac{-15}{3\\frac{2}{10}})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{8} + 20) \\cdot (-13 - \\frac{-15}{3\\frac{2}{10}})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{8} + 20) \\cdot (-13 - \\frac{-15}{3\\frac{2}{10}}) \\cdot 13",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.78, bodu=125, $$(-13 \cdot 10 - 2\frac{4}{13}) \cdot (-19 - 4\frac{5}{8})=\textcolor{white}{3125\frac{10}{13}}$$return {
["body"] = 125,
["id"] = "ik9ywG_1029_1822",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 3125.7692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40635,
["jmenovatel"] = 13 },
["render"] = "\\frac{325080}{104}",
["typ"] = "cislo" },
["tex"] = "3125\\frac{10}{13}",
["x"] = 3125,
["y"] = 10,
["z"] = 13 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 10 - 2\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "(-13 \\cdot 10 - 2\\frac{4}{13})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-19 - 4\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(-19 - 4\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "(-13 \\cdot 10 - 2\\frac{4}{13}) \\cdot (-19 - 4\\frac{5}{8})",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.79, bodu=126, $$13 - 1\frac{5}{13} + (-18 \cdot (17 + 16 - 2\frac{4}{11}))=\textcolor{white}{-539\frac{120}{143}}$$return {
["body"] = 126,
["id"] = "a7FOw6_1029_1822",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -539.83916083916,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77197,
["jmenovatel"] = 143 },
["render"] = "\\frac{-77197}{143}",
["typ"] = "cislo" },
["tex"] = "-539\\frac{120}{143}",
["x"] = -539,
["y"] = 120,
["z"] = 143 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "16 - 2\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "17 + 16 - 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(17 + 16 - 2\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (17 + 16 - 2\\frac{4}{11})",
["typ"] = "krat" },
["render"] = "13 - 1\\frac{5}{13} + (-18 \\cdot (17 + 16 - 2\\frac{4}{11}))",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.8, bodu=100, $$\frac{13 \cdot -11 - (-7)}{14 + \frac{3\frac{1}{5}}{-15}}=\textcolor{white}{-9\frac{447}{517}}$$return {
["body"] = 100,
["id"] = "N04VPz_1029_1822",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -9.8646034816248,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5100,
["jmenovatel"] = 517 },
["render"] = "\\frac{-10200}{1034}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{447}{517}",
["x"] = -9,
["y"] = 447,
["z"] = 517 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 \\cdot -11 - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{-15}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{3\\frac{1}{5}}{-15}",
["typ"] = "plus" },
["render"] = "\\frac{13 \\cdot -11 - (-7)}{14 + \\frac{3\\frac{1}{5}}{-15}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.81, bodu=131, $$\frac{\frac{\frac{3\frac{4}{8}}{-12}}{(13 - 16)^3 \cdot -12}}{2\frac{1}{5}}=\textcolor{white}{-\frac{35}{85536}}$$return {
["body"] = 131,
["id"] = "zBOdPn_1029_1822",
["obtiznost"] = 1.2212,
["reseni"] = {
["float"] = -0.00040918443696221,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 85536 },
["render"] = "\\frac{-35}{85536}",
["typ"] = "cislo" },
["tex"] = "-\\frac{35}{85536}",
["y"] = -35,
["z"] = 85536 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "13 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 16)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(13 - 16)^3 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{3\\frac{4}{8}}{-12}}{(13 - 16)^3 \\cdot -12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{4}{8}}{-12}}{(13 - 16)^3 \\cdot -12}}{2\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.82, bodu=162, $$\frac{-7 - (\frac{3\frac{4}{6}}{3\frac{2}{10}} + 3\frac{1}{6}) + 3}{-12} + (-12)=\textcolor{white}{-11\frac{59}{192}}$$return {
["body"] = 162,
["id"] = "TyamJV_1029_1822",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = -11.307291666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2171,
["jmenovatel"] = 192 },
["render"] = "\\frac{-2171}{192}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{59}{192}",
["x"] = -11,
["y"] = 59,
["z"] = 192 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "-7 - (\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 - (\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6}) + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - (\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6}) + 3}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - (\\frac{3\\frac{4}{6}}{3\\frac{2}{10}} + 3\\frac{1}{6}) + 3}{-12} + (-12)",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.83, bodu=232, $$2\frac{3}{11} + \frac{2\frac{3}{7}}{\frac{4\frac{5}{11}}{4\frac{5}{9}}} \cdot (2\frac{1}{6} + (-16))=\textcolor{white}{-32\frac{17177}{203742}}$$return {
["body"] = 232,
["id"] = "av0uHg_1029_1822",
["obtiznost"] = 1.83,
["reseni"] = {
["float"] = -32.084307604716,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6536921,
["jmenovatel"] = 203742 },
["render"] = "\\frac{-6536921}{203742}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{17177}{203742}",
["x"] = -32,
["y"] = 17177,
["z"] = 203742 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{3}{7}}{\\frac{4\\frac{5}{11}}{4\\frac{5}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + (-16))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{3}{7}}{\\frac{4\\frac{5}{11}}{4\\frac{5}{9}}} \\cdot (2\\frac{1}{6} + (-16))",
["typ"] = "krat" },
["render"] = "2\\frac{3}{11} + \\frac{2\\frac{3}{7}}{\\frac{4\\frac{5}{11}}{4\\frac{5}{9}}} \\cdot (2\\frac{1}{6} + (-16))",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.84, bodu=134, $$(-9 \cdot -15 - (-10)) \cdot -16 \cdot 4\frac{5}{11} \cdot 4\frac{2}{6}=\textcolor{white}{-44783\frac{1}{33}}$$return {
["body"] = 134,
["id"] = "oSo1bT_1029_1822",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -44783.03030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1477840,
["jmenovatel"] = 33 },
["render"] = "\\frac{-1477840}{33}",
["typ"] = "cislo" },
["tex"] = "-44783\\frac{1}{33}",
["x"] = -44783,
["y"] = 1,
["z"] = 33 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -15 - (-10)",
["typ"] = "minus" },
["render"] = "(-9 \\cdot -15 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{5}{11} \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "(-9 \\cdot -15 - (-10)) \\cdot -16 \\cdot 4\\frac{5}{11} \\cdot 4\\frac{2}{6}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.85, bodu=135, $$\frac{14 \cdot (2\frac{4}{6} + 4\frac{1}{8})}{-10} - (-16 - (-15))^3=\textcolor{white}{-8\frac{61}{120}}$$return {
["body"] = 135,
["id"] = "BuDmP2_1029_1822",
["obtiznost"] = 1.2508,
["reseni"] = {
["float"] = -8.5083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1021,
["jmenovatel"] = 120 },
["render"] = "\\frac{-1021}{120}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{61}{120}",
["x"] = -8,
["y"] = 61,
["z"] = 120 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + 4\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (2\\frac{4}{6} + 4\\frac{1}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot (2\\frac{4}{6} + 4\\frac{1}{8})}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-16 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-16 - (-15))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{14 \\cdot (2\\frac{4}{6} + 4\\frac{1}{8})}{-10} - (-16 - (-15))^3",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.86, bodu=168, $$\frac{\frac{3\frac{5}{14} \cdot 11}{3\frac{5}{7}}}{-14 \cdot 2\frac{3}{9}}=\textcolor{white}{-\frac{1551}{5096}}$$return {
["body"] = 168,
["id"] = "Z180ds_1029_1822",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -0.30435635792779,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1551,
["jmenovatel"] = 5096 },
["render"] = "\\frac{1551}{-5096}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1551}{5096}",
["y"] = -1551,
["z"] = 5096 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{14} \\cdot 11}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 2\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{3\\frac{5}{14} \\cdot 11}{3\\frac{5}{7}}}{-14 \\cdot 2\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.87, bodu=83, $$\frac{-18}{5} + 19 \cdot -13 \cdot 14 - (-13)=\textcolor{white}{-3448{,}6}$$return {
["body"] = 83,
["id"] = "ofF9gT_1029_1822",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -3448.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17243,
["jmenovatel"] = 5 },
["render"] = "\\frac{-17243}{5}",
["typ"] = "cislo" },
["tex"] = "-3448\\frac{3}{5}",
["tex_float"] = "-3448{,}6",
["x"] = -3448,
["y"] = 3,
["z"] = 5 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "19 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "19 \\cdot -13 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "19 \\cdot -13 \\cdot 14 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{-18}{5} + 19 \\cdot -13 \\cdot 14 - (-13)",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.88, bodu=172, $$\frac{-9}{\frac{3\frac{2}{7}}{3\frac{2}{6} \cdot \frac{4\frac{4}{10}}{-21 + (-9)}}}=\textcolor{white}{1\frac{39}{115}}$$return {
["body"] = 172,
["id"] = "ACTWex_1029_1822",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 1.3391304347826,
["objekt"] = {
["hodnota"] = {
["citatel"] = 154,
["jmenovatel"] = 115 },
["render"] = "\\frac{-1386}{-1035}",
["typ"] = "cislo" },
["tex"] = "1\\frac{39}{115}",
["x"] = 1,
["y"] = 39,
["z"] = 115 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-21 + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{10}}{-21 + (-9)}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{6} \\cdot \\frac{4\\frac{4}{10}}{-21 + (-9)}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{7}}{3\\frac{2}{6} \\cdot \\frac{4\\frac{4}{10}}{-21 + (-9)}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{3\\frac{2}{7}}{3\\frac{2}{6} \\cdot \\frac{4\\frac{4}{10}}{-21 + (-9)}}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.89, bodu=141, $$7 \cdot (\frac{\frac{-10}{-11}}{2\frac{3}{5}} - \frac{1\frac{2}{7}}{-10})=\textcolor{white}{3\frac{497}{1430}}$$return {
["body"] = 141,
["id"] = "mX4bYh_1029_1822",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 3.3475524475524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4787,
["jmenovatel"] = 1430 },
["render"] = "\\frac{33509}{10010}",
["typ"] = "cislo" },
["tex"] = "3\\frac{497}{1430}",
["x"] = 3,
["y"] = 497,
["z"] = 1430 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{-11}}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-10}{-11}}{2\\frac{3}{5}} - \\frac{1\\frac{2}{7}}{-10}",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{-10}{-11}}{2\\frac{3}{5}} - \\frac{1\\frac{2}{7}}{-10})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (\\frac{\\frac{-10}{-11}}{2\\frac{3}{5}} - \\frac{1\\frac{2}{7}}{-10})",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.9, bodu=165, $$\frac{\frac{14}{13 \cdot (3 - 2\frac{1}{8})^3}}{\frac{-15}{13}}=\textcolor{white}{-1\frac{289}{735}}$$return {
["body"] = 165,
["id"] = "rpPxrK_1029_1822",
["obtiznost"] = 1.442,
["reseni"] = {
["float"] = -1.3931972789116,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1024,
["jmenovatel"] = 735 },
["render"] = "\\frac{13312}{-9555}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{289}{735}",
["x"] = -1,
["y"] = 289,
["z"] = 735 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "3 - 2\\frac{1}{8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 2\\frac{1}{8})^3",
["typ"] = "mocnina" },
["render"] = "13 \\cdot (3 - 2\\frac{1}{8})^3",
["typ"] = "krat" },
["render"] = "\\frac{14}{13 \\cdot (3 - 2\\frac{1}{8})^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{14}{13 \\cdot (3 - 2\\frac{1}{8})^3}}{\\frac{-15}{13}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.91, bodu=211, $$-12 + \frac{18 - 4\frac{3}{11} + 3\frac{2}{10} - 4\frac{5}{9} + 6}{3\frac{3}{7}}=\textcolor{white}{-6\frac{3811}{5940}}$$return {
["body"] = 211,
["id"] = "VreapU_1029_1822",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -6.6415824915825,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39451,
["jmenovatel"] = 5940 },
["render"] = "\\frac{-39451}{5940}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3811}{5940}",
["x"] = -6,
["y"] = 3811,
["z"] = 5940 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "18 - 4\\frac{3}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 4\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 4\\frac{5}{9} + 6",
["typ"] = "plus" },
["render"] = "18 - 4\\frac{3}{11} + 3\\frac{2}{10} - 4\\frac{5}{9} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{18 - 4\\frac{3}{11} + 3\\frac{2}{10} - 4\\frac{5}{9} + 6}{3\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{18 - 4\\frac{3}{11} + 3\\frac{2}{10} - 4\\frac{5}{9} + 6}{3\\frac{3}{7}}",
["typ"] = "plus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.92, bodu=178, $$\frac{\frac{-13 \cdot \frac{-22}{4\frac{5}{10} - 2\frac{3}{12}}}{3\frac{3}{10}}}{21}=\textcolor{white}{1\frac{473}{567}}$$return {
["body"] = 178,
["id"] = "6A7Pli_1029_1822",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 1.8342151675485,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1040,
["jmenovatel"] = 567 },
["render"] = "\\frac{1040}{567}",
["typ"] = "cislo" },
["tex"] = "1\\frac{473}{567}",
["x"] = 1,
["y"] = 473,
["z"] = 567 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - 2\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "\\frac{-22}{4\\frac{5}{10} - 2\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{-22}{4\\frac{5}{10} - 2\\frac{3}{12}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot \\frac{-22}{4\\frac{5}{10} - 2\\frac{3}{12}}}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13 \\cdot \\frac{-22}{4\\frac{5}{10} - 2\\frac{3}{12}}}{3\\frac{3}{10}}}{21}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.93, bodu=192, $$\frac{(4\frac{4}{6} + 17 - 13)^2 - (-19 + (-11))}{1\frac{4}{10}} - (-12)=\textcolor{white}{87\frac{5}{63}}$$return {
["body"] = 192,
["id"] = "uzrNRa_1029_1822",
["obtiznost"] = 1.604,
["reseni"] = {
["float"] = 87.079365079365,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5486,
["jmenovatel"] = 63 },
["render"] = "\\frac{5486}{63}",
["typ"] = "cislo" },
["tex"] = "87\\frac{5}{63}",
["x"] = 87,
["y"] = 5,
["z"] = 63 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 17 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{6} + 17 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-19 + (-11)",
["typ"] = "plus" },
["render"] = "(-19 + (-11))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{6} + 17 - 13)^2 - (-19 + (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{4}{6} + 17 - 13)^2 - (-19 + (-11))}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{4}{6} + 17 - 13)^2 - (-19 + (-11))}{1\\frac{4}{10}} - (-12)",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.94, bodu=181, $$16 \cdot 4\frac{2}{12} - (-12 - 3\frac{5}{10} - 13) - 1\frac{5}{12}=\textcolor{white}{93{,}75}$$return {
["body"] = 181,
["id"] = "aHITC5_1029_1822",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 93.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 375,
["jmenovatel"] = 4 },
["render"] = "\\frac{6750}{72}",
["typ"] = "cislo" },
["tex"] = "93\\frac{3}{4}",
["tex_float"] = "93{,}75",
["x"] = 93,
["y"] = 3,
["z"] = 4 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 4\\frac{2}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{5}{10} - 13",
["typ"] = "minus" },
["render"] = "(-12 - 3\\frac{5}{10} - 13)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 4\\frac{2}{12} - (-12 - 3\\frac{5}{10} - 13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 4\\frac{2}{12} - (-12 - 3\\frac{5}{10} - 13) - 1\\frac{5}{12}",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.95, bodu=255, $$\frac{(1\frac{1}{11} + 4\frac{2}{13}) \cdot \frac{3\frac{5}{10}}{-21}}{4\frac{5}{11} + 2\frac{1}{9}}=\textcolor{white}{-\frac{45}{338}}$$return {
["body"] = 255,
["id"] = "BAkjpe_1029_1822",
["obtiznost"] = 1.95,
["reseni"] = {
["float"] = -0.13313609467456,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 338 },
["render"] = "\\frac{-12375}{92950}",
["typ"] = "cislo" },
["tex"] = "-\\frac{45}{338}",
["y"] = -45,
["z"] = 338 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} + 4\\frac{2}{13}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{11} + 4\\frac{2}{13})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-21}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{1}{11} + 4\\frac{2}{13}) \\cdot \\frac{3\\frac{5}{10}}{-21}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "\\frac{(1\\frac{1}{11} + 4\\frac{2}{13}) \\cdot \\frac{3\\frac{5}{10}}{-21}}{4\\frac{5}{11} + 2\\frac{1}{9}}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.96, bodu=185, $$\frac{2\frac{2}{12} \cdot \frac{4\frac{2}{6} \cdot 16}{1\frac{4}{10}} + 11}{-19}=\textcolor{white}{-6\frac{271}{1197}}$$return {
["body"] = 185,
["id"] = "zba94O_1029_1822",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -6.2263993316625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7453,
["jmenovatel"] = 1197 },
["render"] = "\\frac{7453}{-1197}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{271}{1197}",
["x"] = -6,
["y"] = 271,
["z"] = 1197 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6} \\cdot 16}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{12} \\cdot \\frac{4\\frac{2}{6} \\cdot 16}{1\\frac{4}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{12} \\cdot \\frac{4\\frac{2}{6} \\cdot 16}{1\\frac{4}{10}} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{12} \\cdot \\frac{4\\frac{2}{6} \\cdot 16}{1\\frac{4}{10}} + 11}{-19}",
["typ"] = "lomeno" } }
seed: UCUKettd75eHVSd5Y1Bb_0.97, bodu=221, $$(3\frac{3}{9} + 1\frac{1}{5}) \cdot (-12 + \frac{1\frac{5}{14}}{-3}) \cdot 1\frac{4}{8}=\textcolor{white}{-84\frac{71}{105}}$$return {
["body"] = 221,
["id"] = "itJ073_1029_1822",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -84.67619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8891,
["jmenovatel"] = 105 },
["render"] = "\\frac{-53346}{630}",
["typ"] = "cislo" },
["tex"] = "-84\\frac{71}{105}",
["x"] = -84,
["y"] = 71,
["z"] = 105 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{9} + 1\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{14}}{-3}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{1\\frac{5}{14}}{-3}",
["typ"] = "plus" },
["render"] = "(-12 + \\frac{1\\frac{5}{14}}{-3})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{9} + 1\\frac{1}{5}) \\cdot (-12 + \\frac{1\\frac{5}{14}}{-3})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{9} + 1\\frac{1}{5}) \\cdot (-12 + \\frac{1\\frac{5}{14}}{-3}) \\cdot 1\\frac{4}{8}",
["typ"] = "krat" } }
seed: UCUKettd75eHVSd5Y1Bb_0.98, bodu=188, $$-13 - 4 \cdot 4\frac{4}{10} - (-14 + \frac{2\frac{3}{13}}{1\frac{4}{9}})=\textcolor{white}{-18\frac{122}{845}}$$return {
["body"] = 188,
["id"] = "SKkoyU_1029_1822",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -18.144378698225,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15332,
["jmenovatel"] = 845 },
["render"] = "\\frac{-15332}{845}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{122}{845}",
["x"] = -18,
["y"] = 122,
["z"] = 845 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 4\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "-13 - 4 \\cdot 4\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{13}}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{2\\frac{3}{13}}{1\\frac{4}{9}}",
["typ"] = "plus" },
["render"] = "(-14 + \\frac{2\\frac{3}{13}}{1\\frac{4}{9}})",
["typ"] = "zavorka" },
["render"] = "-13 - 4 \\cdot 4\\frac{4}{10} - (-14 + \\frac{2\\frac{3}{13}}{1\\frac{4}{9}})",
["typ"] = "minus" } }
seed: UCUKettd75eHVSd5Y1Bb_0.99, bodu=190, $$\frac{\frac{\frac{-5}{1\frac{5}{12}}}{-24 + 8}}{3\frac{1}{10} - 2\frac{5}{13}}=\textcolor{white}{\frac{325}{1054}}$$return {
["body"] = 190,
["id"] = "PVlQUt_1029_1822",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.30834914611006,
["objekt"] = {
["hodnota"] = {
["citatel"] = 325,
["jmenovatel"] = 1054 },
["render"] = "\\frac{1950}{6324}",
["typ"] = "cislo" },
["tex"] = "\\frac{325}{1054}",
["y"] = 325,
["z"] = 1054 },
["seed"] = "UCUKettd75eHVSd5Y1Bb_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-24 + 8",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-5}{1\\frac{5}{12}}}{-24 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} - 2\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{\\frac{-5}{1\\frac{5}{12}}}{-24 + 8}}{3\\frac{1}{10} - 2\\frac{5}{13}}",
["typ"] = "lomeno" } }
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