- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: t2sww6rLI9PFgvIzVsyf_0, bodu=5, $$(8 - (11 + 7))^2 - 7=\textcolor{white}{93}$$return {
["body"] = 5,
["id"] = "BMAm1E_1004_2254",
["obtiznost"] = 0.0404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 1 },
["render"] = "\\frac{93}{1}",
["typ"] = "cislo" },
["tex"] = "93",
["x"] = 93 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "(11 + 7)",
["typ"] = "zavorka" },
["render"] = "8 - (11 + 7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (11 + 7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(8 - (11 + 7))^2 - 7",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.01, bodu=5, $$8 - 9 + 8 + 6 + 7=\textcolor{white}{20}$$return {
["body"] = 5,
["id"] = "BwlsFG_1004_2254",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{1}",
["typ"] = "cislo" },
["tex"] = "20",
["x"] = 20 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "8 + 6 + 7",
["typ"] = "plus" },
["render"] = "8 - 9 + 8 + 6 + 7",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.02, bodu=5, $$7 - (7 \cdot 6 + 6)=\textcolor{white}{-41}$$return {
["body"] = 5,
["id"] = "aQElrv_1004_2254",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -41,
["jmenovatel"] = 1 },
["render"] = "\\frac{-41}{1}",
["typ"] = "cislo" },
["tex"] = "-41",
["tex_float"] = "-41",
["x"] = -41 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6 + 6",
["typ"] = "plus" },
["render"] = "(7 \\cdot 6 + 6)",
["typ"] = "zavorka" },
["render"] = "7 - (7 \\cdot 6 + 6)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.03, bodu=19, $$6 \cdot (1\frac{4}{7} - (4 - 9))=\textcolor{white}{39\frac{3}{7}}$$return {
["body"] = 19,
["id"] = "DEyE6t_1004_2254",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = 39.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 276,
["jmenovatel"] = 7 },
["render"] = "\\frac{276}{7}",
["typ"] = "cislo" },
["tex"] = "39\\frac{3}{7}",
["x"] = 39,
["y"] = 3,
["z"] = 7 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["render"] = "(4 - 9)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{7} - (4 - 9)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{7} - (4 - 9))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (1\\frac{4}{7} - (4 - 9))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.04, bodu=10, $$5 \cdot \frac{-7}{8}=\textcolor{white}{-4{,}375}$$return {
["body"] = 10,
["id"] = "Ba08d1_1004_2254",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -4.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 8 },
["render"] = "\\frac{-35}{8}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3}{8}",
["tex_float"] = "-4{,}375",
["x"] = -4,
["y"] = 3,
["z"] = 8 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["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"] = "5 \\cdot \\frac{-7}{8}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.05, bodu=11, $$9 - (\frac{-7}{9} - 7)=\textcolor{white}{16\frac{7}{9}}$$return {
["body"] = 11,
["id"] = "EgpA9f_1004_2254",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 16.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 151,
["jmenovatel"] = 9 },
["render"] = "\\frac{151}{9}",
["typ"] = "cislo" },
["tex"] = "16\\frac{7}{9}",
["x"] = 16,
["y"] = 7,
["z"] = 9 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9} - 7",
["typ"] = "minus" },
["render"] = "(\\frac{-7}{9} - 7)",
["typ"] = "zavorka" },
["render"] = "9 - (\\frac{-7}{9} - 7)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.06, bodu=11, $$\frac{-10 - 4}{\frac{9}{3}}=\textcolor{white}{-4\frac{2}{3}}$$return {
["body"] = 11,
["id"] = "l0iZTV_1004_2254",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 3 },
["render"] = "\\frac{-14}{3}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{3}",
["x"] = -4,
["y"] = 2,
["z"] = 3 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-10 - 4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10 - 4}{\\frac{9}{3}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.07, bodu=13, $$(\frac{\frac{12}{11}}{6})^2=\textcolor{white}{\frac{4}{121}}$$return {
["body"] = 13,
["id"] = "BlsE70_1004_2254",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.033057851239669,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 121 },
["render"] = "\\frac{4}{121}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{121}",
["y"] = 4,
["z"] = 121 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.07",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{11}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{12}{11}}{6})^2",
["typ"] = "mocnina" } }
seed: t2sww6rLI9PFgvIzVsyf_0.08, bodu=12, $$\frac{4 \cdot 4}{6}=\textcolor{white}{2\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "WqjeyW_1004_2254",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 2.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "\\frac{16}{6}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{3}",
["x"] = 2,
["y"] = 2,
["z"] = 3 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 4}{6}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.09, bodu=6, $$(8 + 8 - 4) \cdot 8=\textcolor{white}{96}$$return {
["body"] = 6,
["id"] = "zoHMqI_1004_2254",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["tex_float"] = "96",
["x"] = 96 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.09",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 8 - 4",
["typ"] = "minus" },
["render"] = "(8 + 8 - 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(8 + 8 - 4) \\cdot 8",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.1, bodu=24, $$4 \cdot (1\frac{2}{6} - 5) + 9=\textcolor{white}{-5\frac{2}{3}}$$return {
["body"] = 24,
["id"] = "UDBhOO_1004_2254",
["obtiznost"] = 0.3,
["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"] = "t2sww6rLI9PFgvIzVsyf_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 5",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{6} - 5)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (1\\frac{2}{6} - 5)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 \\cdot (1\\frac{2}{6} - 5) + 9",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.11, bodu=25, $$1\frac{3}{7} \cdot 7 \cdot (5 - 6)^3=\textcolor{white}{-10}$$return {
["body"] = 25,
["id"] = "jY3HHg_1004_2254",
["obtiznost"] = 0.3108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "\\frac{-10}{1}",
["typ"] = "cislo" },
["tex"] = "-10",
["x"] = -10 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - 6)^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{7} \\cdot 7 \\cdot (5 - 6)^3",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.12, bodu=13, $$\frac{6 \cdot 4}{9}=\textcolor{white}{2\frac{2}{3}}$$return {
["body"] = 13,
["id"] = "EsMDz6_1004_2254",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 2.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "\\frac{24}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2}{3}",
["x"] = 2,
["y"] = 2,
["z"] = 3 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 4}{9}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.13, bodu=12, $$11 \cdot (4 - (-11 - 9)^2)=\textcolor{white}{-4356}$$return {
["body"] = 12,
["id"] = "HY8NPu_1004_2254",
["obtiznost"] = 0.2904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4356,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4356}{1}",
["typ"] = "cislo" },
["tex"] = "-4356",
["tex_float"] = "-4356",
["x"] = -4356 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 9)^2",
["typ"] = "mocnina" },
["render"] = "4 - (-11 - 9)^2",
["typ"] = "minus" },
["render"] = "(4 - (-11 - 9)^2)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (4 - (-11 - 9)^2)",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.14, bodu=27, $$10 + \frac{-8}{1\frac{1}{5} - (-10)}=\textcolor{white}{9\frac{2}{7}}$$return {
["body"] = 27,
["id"] = "3c7G16_1004_2254",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 9.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 7 },
["render"] = "\\frac{65}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{2}{7}",
["x"] = 9,
["y"] = 2,
["z"] = 7 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["render"] = "\\frac{-8}{1\\frac{1}{5} - (-10)}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{-8}{1\\frac{1}{5} - (-10)}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.15, bodu=8, $$((2 + 6)^2 + 8) \cdot 9=\textcolor{white}{648}$$return {
["body"] = 8,
["id"] = "9sJdAE_1004_2254",
["obtiznost"] = 0.176,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 648,
["jmenovatel"] = 1 },
["render"] = "\\frac{648}{1}",
["typ"] = "cislo" },
["tex"] = "648",
["tex_float"] = "648",
["x"] = 648 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(2 + 6)^2 + 8",
["typ"] = "plus" },
["render"] = "((2 + 6)^2 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "((2 + 6)^2 + 8) \\cdot 9",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.16, bodu=30, $$4\frac{4}{7} + (\frac{9 + 9}{6})^3=\textcolor{white}{31\frac{4}{7}}$$return {
["body"] = 30,
["id"] = "tZudFJ_1004_2254",
["obtiznost"] = 0.3712,
["reseni"] = {
["float"] = 31.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 221,
["jmenovatel"] = 7 },
["render"] = "\\frac{221}{7}",
["typ"] = "cislo" },
["tex"] = "31\\frac{4}{7}",
["x"] = 31,
["y"] = 4,
["z"] = 7 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9 + 9}{6})^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{7} + (\\frac{9 + 9}{6})^3",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.17, bodu=30, $$\frac{7}{\frac{2\frac{1}{6}}{7} + (-9)}=\textcolor{white}{-\frac{294}{365}}$$return {
["body"] = 30,
["id"] = "hAUPFI_1004_2254",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -0.80547945205479,
["objekt"] = {
["hodnota"] = {
["citatel"] = -294,
["jmenovatel"] = 365 },
["render"] = "\\frac{294}{-365}",
["typ"] = "cislo" },
["tex"] = "-\\frac{294}{365}",
["y"] = -294,
["z"] = 365 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{7} + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{7}{\\frac{2\\frac{1}{6}}{7} + (-9)}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.18, bodu=67, $$(\frac{4}{-8} - 1\frac{2}{8})^3 \cdot 4\frac{4}{8}=\textcolor{white}{-24\frac{15}{128}}$$return {
["body"] = 67,
["id"] = "5HVJq4_1004_2254",
["obtiznost"] = 0.7428,
["reseni"] = {
["float"] = -24.1171875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3087,
["jmenovatel"] = 128 },
["render"] = "\\frac{-3087}{128}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{15}{128}",
["x"] = -24,
["y"] = 15,
["z"] = 128 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.18",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-8} - 1\\frac{2}{8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{-8} - 1\\frac{2}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{4}{-8} - 1\\frac{2}{8})^3 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.19, bodu=50, $$1\frac{1}{5} \cdot -5 \cdot 3\frac{5}{7}=\textcolor{white}{-22\frac{2}{7}}$$return {
["body"] = 50,
["id"] = "RDS90H_1004_2254",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -22.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -156,
["jmenovatel"] = 7 },
["render"] = "\\frac{-780}{35}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{2}{7}",
["x"] = -22,
["y"] = 2,
["z"] = 7 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "1\\frac{1}{5} \\cdot -5 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.2, bodu=27, $$(8 - \frac{12}{6} + 12)^2 - (-7)=\textcolor{white}{331}$$return {
["body"] = 27,
["id"] = "ggVsdb_1004_2254",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 331,
["jmenovatel"] = 1 },
["render"] = "\\frac{331}{1}",
["typ"] = "cislo" },
["tex"] = "331",
["tex_float"] = "331",
["x"] = 331 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{12}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 - \\frac{12}{6} + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 - \\frac{12}{6} + 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(8 - \\frac{12}{6} + 12)^2 - (-7)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.21, bodu=9, $$(7 - 8) \cdot (12 - 11)=\textcolor{white}{-1}$$return {
["body"] = 9,
["id"] = "D9p1n6_1004_2254",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.21",
["zadani"] = {
["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"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(12 - 11)",
["typ"] = "zavorka" },
["render"] = "(7 - 8) \\cdot (12 - 11)",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.22, bodu=19, $$\frac{-13}{7 - (9 + 8 - 8)}=\textcolor{white}{6{,}5}$$return {
["body"] = 19,
["id"] = "M0UyY6_1004_2254",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 6.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 2 },
["render"] = "\\frac{-13}{-2}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1}{2}",
["tex_float"] = "6{,}5",
["x"] = 6,
["y"] = 1,
["z"] = 2 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8 - 8",
["typ"] = "minus" },
["render"] = "(9 + 8 - 8)",
["typ"] = "zavorka" },
["render"] = "7 - (9 + 8 - 8)",
["typ"] = "minus" },
["render"] = "\\frac{-13}{7 - (9 + 8 - 8)}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.23, bodu=11, $$(10 - (7 - 8))^2 \cdot (9 + 11)=\textcolor{white}{2420}$$return {
["body"] = 11,
["id"] = "2t3sbV_1004_2254",
["obtiznost"] = 0.2788,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2420,
["jmenovatel"] = 1 },
["render"] = "\\frac{2420}{1}",
["typ"] = "cislo" },
["tex"] = "2420",
["x"] = 2420 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.23",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["render"] = "10 - (7 - 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (7 - 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["render"] = "(9 + 11)",
["typ"] = "zavorka" },
["render"] = "(10 - (7 - 8))^2 \\cdot (9 + 11)",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.24, bodu=66, $$(7 + 11 + 5)^2 + (\frac{3}{5})^4=\textcolor{white}{529\frac{81}{625}}$$return {
["body"] = 66,
["id"] = "l4UZnO_1004_2254",
["obtiznost"] = 0.7344,
["reseni"] = {
["float"] = 529.1296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 330706,
["jmenovatel"] = 625 },
["render"] = "\\frac{330706}{625}",
["typ"] = "cislo" },
["tex"] = "529\\frac{81}{625}",
["x"] = 529,
["y"] = 81,
["z"] = 625 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 11 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 11 + 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{3}{5})^4",
["typ"] = "mocnina" },
["render"] = "(7 + 11 + 5)^2 + (\\frac{3}{5})^4",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.25, bodu=21, $$\frac{-8 \cdot -8}{-12} \cdot 11=\textcolor{white}{-58\frac{2}{3}}$$return {
["body"] = 21,
["id"] = "K05xfy_1004_2254",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -58.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -176,
["jmenovatel"] = 3 },
["render"] = "\\frac{-176}{3}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{2}{3}",
["x"] = -58,
["y"] = 2,
["z"] = 3 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot -8}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot -8}{-12} \\cdot 11",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.26, bodu=38, $$\frac{6 \cdot 2\frac{1}{4} \cdot 5}{9}=\textcolor{white}{7{,}5}$$return {
["body"] = 38,
["id"] = "2oXhCK_1004_2254",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 7.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 2 },
["render"] = "\\frac{135}{18}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{2}",
["tex_float"] = "7{,}5",
["x"] = 7,
["y"] = 1,
["z"] = 2 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{1}{4} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 2\\frac{1}{4} \\cdot 5}{9}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.27, bodu=38, $$7 - (-11) + 11 + 14 \cdot 3\frac{1}{5}=\textcolor{white}{73{,}8}$$return {
["body"] = 38,
["id"] = "sYNbgG_1004_2254",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 73.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 369,
["jmenovatel"] = 5 },
["render"] = "\\frac{369}{5}",
["typ"] = "cislo" },
["tex"] = "73\\frac{4}{5}",
["tex_float"] = "73{,}8",
["x"] = 73,
["y"] = 4,
["z"] = 5 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - (-11) + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "7 - (-11) + 11 + 14 \\cdot 3\\frac{1}{5}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.28, bodu=39, $$\frac{5}{\frac{5}{-10 + 2\frac{5}{10}}}=\textcolor{white}{-7{,}5}$$return {
["body"] = 39,
["id"] = "QEzFId_1004_2254",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -7.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 2 },
["render"] = "\\frac{15}{-2}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{2}",
["tex_float"] = "-7{,}5",
["x"] = -7,
["y"] = 1,
["z"] = 2 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{5}{-10 + 2\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{5}{-10 + 2\\frac{5}{10}}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.29, bodu=67, $$\frac{3\frac{1}{3} + (-8) + 3\frac{1}{5}}{(-4 - 7)^2}=\textcolor{white}{-\frac{2}{165}}$$return {
["body"] = 67,
["id"] = "WcjvWy_1004_2254",
["obtiznost"] = 0.7388,
["reseni"] = {
["float"] = -0.012121212121212,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 165 },
["render"] = "\\frac{-22}{1815}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{165}",
["y"] = -2,
["z"] = 165 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + (-8) + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{1}{3} + (-8) + 3\\frac{1}{5}}{(-4 - 7)^2}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.3, bodu=24, $$\frac{5 + 9}{6 \cdot 10}=\textcolor{white}{\frac{7}{30}}$$return {
["body"] = 24,
["id"] = "tnQXJN_1004_2254",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 0.23333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 30 },
["render"] = "\\frac{14}{60}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{30}",
["y"] = 7,
["z"] = 30 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{5 + 9}{6 \\cdot 10}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.31, bodu=23, $$7 - (8 + (9 - 11)^4)^2 \cdot -11=\textcolor{white}{6343}$$return {
["body"] = 23,
["id"] = "zisbkY_1004_2254",
["obtiznost"] = 0.5476,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6343,
["jmenovatel"] = 1 },
["render"] = "\\frac{6343}{1}",
["typ"] = "cislo" },
["tex"] = "6343",
["x"] = 6343 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 11)^4",
["typ"] = "mocnina" },
["render"] = "8 + (9 - 11)^4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + (9 - 11)^4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(8 + (9 - 11)^4)^2 \\cdot -11",
["typ"] = "krat" },
["render"] = "7 - (8 + (9 - 11)^4)^2 \\cdot -11",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.32, bodu=48, $$10 + (-4 + 5 + (\frac{-5}{1\frac{1}{2}})^2)=\textcolor{white}{22\frac{1}{9}}$$return {
["body"] = 48,
["id"] = "EHCP4o_1004_2254",
["obtiznost"] = 0.5636,
["reseni"] = {
["float"] = 22.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 199,
["jmenovatel"] = 9 },
["render"] = "\\frac{199}{9}",
["typ"] = "cislo" },
["tex"] = "22\\frac{1}{9}",
["x"] = 22,
["y"] = 1,
["z"] = 9 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 + 5",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{1}{2}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{1\\frac{1}{2}})^2",
["typ"] = "mocnina" },
["render"] = "-4 + 5 + (\\frac{-5}{1\\frac{1}{2}})^2",
["typ"] = "plus" },
["render"] = "10 + (-4 + 5 + (\\frac{-5}{1\\frac{1}{2}})^2)",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.33, bodu=66, $$9 - 4 + 6 \cdot 4\frac{4}{6} + 4\frac{3}{6}=\textcolor{white}{37{,}5}$$return {
["body"] = 66,
["id"] = "ZWFBBc_1004_2254",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 37.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 2 },
["render"] = "\\frac{75}{2}",
["typ"] = "cislo" },
["tex"] = "37\\frac{1}{2}",
["tex_float"] = "37{,}5",
["x"] = 37,
["y"] = 1,
["z"] = 2 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{4}{6} + 4\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "9 - 4 + 6 \\cdot 4\\frac{4}{6} + 4\\frac{3}{6}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.34, bodu=45, $$\frac{-10 + 2\frac{1}{7}}{-7 - 15 + 13}=\textcolor{white}{\frac{55}{63}}$$return {
["body"] = 45,
["id"] = "CcPhWP_1004_2254",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 0.87301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 63 },
["render"] = "\\frac{-55}{-63}",
["typ"] = "cislo" },
["tex"] = "\\frac{55}{63}",
["y"] = 55,
["z"] = 63 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-10 + 2\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-7 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-7 - 15 + 13",
["typ"] = "plus" },
["render"] = "\\frac{-10 + 2\\frac{1}{7}}{-7 - 15 + 13}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.35, bodu=46, $$\frac{12}{12 - (4\frac{2}{5} - 9)}=\textcolor{white}{\frac{60}{83}}$$return {
["body"] = 46,
["id"] = "qSSMIZ_1004_2254",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.72289156626506,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 83 },
["render"] = "\\frac{60}{83}",
["typ"] = "cislo" },
["tex"] = "\\frac{60}{83}",
["y"] = 60,
["z"] = 83 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - 9",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{5} - 9)",
["typ"] = "zavorka" },
["render"] = "12 - (4\\frac{2}{5} - 9)",
["typ"] = "minus" },
["render"] = "\\frac{12}{12 - (4\\frac{2}{5} - 9)}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.36, bodu=47, $$\frac{8}{1\frac{5}{11}} \cdot -12 \cdot -10=\textcolor{white}{660}$$return {
["body"] = 47,
["id"] = "OsJ4z2_1004_2254",
["obtiznost"] = 0.56,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 660,
["jmenovatel"] = 1 },
["render"] = "\\frac{1320}{2}",
["typ"] = "cislo" },
["tex"] = "660",
["x"] = 660 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{8}{1\\frac{5}{11}} \\cdot -12 \\cdot -10",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.37, bodu=46, $$\frac{-4}{(12 + 9)^2} - (8 + (-15))=\textcolor{white}{6\frac{437}{441}}$$return {
["body"] = 46,
["id"] = "E6vGKo_1004_2254",
["obtiznost"] = 0.5468,
["reseni"] = {
["float"] = 6.9909297052154,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3083,
["jmenovatel"] = 441 },
["render"] = "\\frac{3083}{441}",
["typ"] = "cislo" },
["tex"] = "6\\frac{437}{441}",
["x"] = 6,
["y"] = 437,
["z"] = 441 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-4}{(12 + 9)^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 + (-15)",
["typ"] = "plus" },
["render"] = "(8 + (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{-4}{(12 + 9)^2} - (8 + (-15))",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.38, bodu=15, $$5 \cdot (9 \cdot -10 - (-10))=\textcolor{white}{-400}$$return {
["body"] = 15,
["id"] = "LfSGYQ_1004_2254",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -400,
["jmenovatel"] = 1 },
["render"] = "\\frac{-400}{1}",
["typ"] = "cislo" },
["tex"] = "-400",
["x"] = -400 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot -10 - (-10)",
["typ"] = "minus" },
["render"] = "(9 \\cdot -10 - (-10))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (9 \\cdot -10 - (-10))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.39, bodu=73, $$(1\frac{1}{6} - (12 + 2\frac{5}{9})) \cdot \frac{-8}{-5}=\textcolor{white}{-21\frac{19}{45}}$$return {
["body"] = 73,
["id"] = "SRUzP5_1004_2254",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -21.422222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -964,
["jmenovatel"] = 45 },
["render"] = "\\frac{-1928}{90}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{19}{45}",
["x"] = -21,
["y"] = 19,
["z"] = 45 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(12 + 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} - (12 + 2\\frac{5}{9})",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{6} - (12 + 2\\frac{5}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-5}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{1}{6} - (12 + 2\\frac{5}{9})) \\cdot \\frac{-8}{-5}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.4, bodu=37, $$(\frac{(15 + (-14 + (-9))) \cdot -9}{6})^2=\textcolor{white}{144}$$return {
["body"] = 37,
["id"] = "7q2pu4_1004_2254",
["obtiznost"] = 0.458,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 1 },
["render"] = "\\frac{144}{1}",
["typ"] = "cislo" },
["tex"] = "144",
["tex_float"] = "144",
["x"] = 144 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.4",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 + (-9)",
["typ"] = "plus" },
["render"] = "15 + (-14 + (-9))",
["typ"] = "plus" },
["render"] = "(15 + (-14 + (-9)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(15 + (-14 + (-9))) \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(15 + (-14 + (-9))) \\cdot -9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(15 + (-14 + (-9))) \\cdot -9}{6})^2",
["typ"] = "mocnina" } }
seed: t2sww6rLI9PFgvIzVsyf_0.41, bodu=75, $$-10 + \frac{-9}{\frac{9}{2\frac{4}{7}}} + 2\frac{3}{6}=\textcolor{white}{-10\frac{1}{14}}$$return {
["body"] = 75,
["id"] = "Ao7tlY_1004_2254",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -10.071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -141,
["jmenovatel"] = 14 },
["render"] = "\\frac{-141}{14}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{1}{14}",
["x"] = -10,
["y"] = 1,
["z"] = 14 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{9}{2\\frac{4}{7}}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{-9}{\\frac{9}{2\\frac{4}{7}}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-10 + \\frac{-9}{\\frac{9}{2\\frac{4}{7}}} + 2\\frac{3}{6}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.42, bodu=34, $$\frac{9}{10 \cdot -17 \cdot 9}=\textcolor{white}{-\frac{1}{170}}$$return {
["body"] = 34,
["id"] = "IDyXMG_1004_2254",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -0.0058823529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 170 },
["render"] = "\\frac{9}{-1530}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{170}",
["y"] = -1,
["z"] = 170 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "10 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot -17 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{9}{10 \\cdot -17 \\cdot 9}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.43, bodu=79, $$4\frac{5}{8} - (2\frac{5}{7} - (\frac{6}{-10})^2) \cdot 13=\textcolor{white}{-25\frac{1373}{1400}}$$return {
["body"] = 79,
["id"] = "yQjDxp_1004_2254",
["obtiznost"] = 0.8436,
["reseni"] = {
["float"] = -25.980714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36373,
["jmenovatel"] = 1400 },
["render"] = "\\frac{-36373}{1400}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{1373}{1400}",
["x"] = -25,
["y"] = 1373,
["z"] = 1400 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-10})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{7} - (\\frac{6}{-10})^2",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{7} - (\\frac{6}{-10})^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{7} - (\\frac{6}{-10})^2) \\cdot 13",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} - (2\\frac{5}{7} - (\\frac{6}{-10})^2) \\cdot 13",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.44, bodu=155, $$4\frac{5}{10} \cdot 2\frac{2}{4} \cdot (12 - (14 - 4\frac{2}{6})^2)=\textcolor{white}{-916{,}25}$$return {
["body"] = 155,
["id"] = "iRdqV6_1004_2254",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -916.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3665,
["jmenovatel"] = 4 },
["render"] = "\\frac{-32985}{36}",
["typ"] = "cislo" },
["tex"] = "-916\\frac{1}{4}",
["tex_float"] = "-916{,}25",
["x"] = -916,
["y"] = 1,
["z"] = 4 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot 2\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "14 - 4\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - 4\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "12 - (14 - 4\\frac{2}{6})^2",
["typ"] = "minus" },
["render"] = "(12 - (14 - 4\\frac{2}{6})^2)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} \\cdot 2\\frac{2}{4} \\cdot (12 - (14 - 4\\frac{2}{6})^2)",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.45, bodu=106, $$3\frac{4}{11} - (12 + 3\frac{4}{8} \cdot 12) \cdot 4\frac{2}{4}=\textcolor{white}{-239\frac{7}{11}}$$return {
["body"] = 106,
["id"] = "xHhHgg_1004_2254",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -239.63636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2636,
["jmenovatel"] = 11 },
["render"] = "\\frac{-2636}{11}",
["typ"] = "cislo" },
["tex"] = "-239\\frac{7}{11}",
["x"] = -239,
["y"] = 7,
["z"] = 11 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 12",
["typ"] = "krat" },
["render"] = "12 + 3\\frac{4}{8} \\cdot 12",
["typ"] = "plus" },
["render"] = "(12 + 3\\frac{4}{8} \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(12 + 3\\frac{4}{8} \\cdot 12) \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{11} - (12 + 3\\frac{4}{8} \\cdot 12) \\cdot 4\\frac{2}{4}",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.46, bodu=38, $$\frac{8 \cdot 13 \cdot 4}{-4 + 3}=\textcolor{white}{-416}$$return {
["body"] = 38,
["id"] = "QLfMod_1004_2254",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -416,
["jmenovatel"] = 1 },
["render"] = "\\frac{416}{-1}",
["typ"] = "cislo" },
["tex"] = "-416",
["x"] = -416 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-4 + 3",
["typ"] = "plus" },
["render"] = "\\frac{8 \\cdot 13 \\cdot 4}{-4 + 3}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.47, bodu=38, $$14 \cdot \frac{-16}{10} \cdot -11=\textcolor{white}{246{,}4}$$return {
["body"] = 38,
["id"] = "7FW5s6_1004_2254",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 246.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1232,
["jmenovatel"] = 5 },
["render"] = "\\frac{1232}{5}",
["typ"] = "cislo" },
["tex"] = "246\\frac{2}{5}",
["tex_float"] = "246{,}4",
["x"] = 246,
["y"] = 2,
["z"] = 5 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{10} \\cdot -11",
["typ"] = "krat" },
["render"] = "14 \\cdot \\frac{-16}{10} \\cdot -11",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.48, bodu=88, $$\frac{(\frac{7}{-6})^2}{-16} + 1\frac{1}{3} - 4\frac{5}{10}=\textcolor{white}{-3\frac{145}{576}}$$return {
["body"] = 88,
["id"] = "cFcmSK_1004_2254",
["obtiznost"] = 0.914,
["reseni"] = {
["float"] = -3.2517361111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1873,
["jmenovatel"] = 576 },
["render"] = "\\frac{-11238}{3456}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{145}{576}",
["x"] = -3,
["y"] = 145,
["z"] = 576 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{-6})^2}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{7}{-6})^2}{-16} + 1\\frac{1}{3} - 4\\frac{5}{10}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.49, bodu=62, $$\frac{\frac{2\frac{2}{6}}{10}}{(-9 + 5)^2} - (-12)=\textcolor{white}{12\frac{7}{480}}$$return {
["body"] = 62,
["id"] = "i1xMGp_1004_2254",
["obtiznost"] = 0.6968,
["reseni"] = {
["float"] = 12.014583333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5767,
["jmenovatel"] = 480 },
["render"] = "\\frac{5767}{480}",
["typ"] = "cislo" },
["tex"] = "12\\frac{7}{480}",
["x"] = 12,
["y"] = 7,
["z"] = 480 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 5)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{2\\frac{2}{6}}{10}}{(-9 + 5)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{2}{6}}{10}}{(-9 + 5)^2} - (-12)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.5, bodu=62, $$13 - 3\frac{5}{11} - \frac{8}{8} - 15=\textcolor{white}{-6\frac{5}{11}}$$return {
["body"] = 62,
["id"] = "xDfMwM_1004_2254",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -6.4545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 11 },
["render"] = "\\frac{-71}{11}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{5}{11}",
["x"] = -6,
["y"] = 5,
["z"] = 11 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["render"] = "13 - 3\\frac{5}{11} - \\frac{8}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{5}{11} - \\frac{8}{8} - 15",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.51, bodu=21, $$-3 \cdot 15 + (-12) + (-10 \cdot 10)=\textcolor{white}{-157}$$return {
["body"] = 21,
["id"] = "KMuMTq_1004_2254",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -157,
["jmenovatel"] = 1 },
["render"] = "\\frac{-157}{1}",
["typ"] = "cislo" },
["tex"] = "-157",
["x"] = -157 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 15 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 10",
["typ"] = "krat" },
["render"] = "-3 \\cdot 15 + (-12) + (-10 \\cdot 10)",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.52, bodu=89, $$\frac{-7 \cdot 5}{1\frac{5}{8}} - (1\frac{2}{5} + 5)=\textcolor{white}{-27\frac{61}{65}}$$return {
["body"] = 89,
["id"] = "V7blwB_1004_2254",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -27.938461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1816,
["jmenovatel"] = 65 },
["render"] = "\\frac{-1816}{65}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{61}{65}",
["x"] = -27,
["y"] = 61,
["z"] = 65 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 5}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 5",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{5} + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{-7 \\cdot 5}{1\\frac{5}{8}} - (1\\frac{2}{5} + 5)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.53, bodu=90, $$\frac{1\frac{5}{9} \cdot 10}{9 + 1\frac{5}{7} - 12}=\textcolor{white}{-12\frac{8}{81}}$$return {
["body"] = 90,
["id"] = "vJSgpH_1004_2254",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -12.098765432099,
["objekt"] = {
["hodnota"] = {
["citatel"] = -980,
["jmenovatel"] = 81 },
["render"] = "\\frac{980}{-81}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{8}{81}",
["x"] = -12,
["y"] = 8,
["z"] = 81 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{5}{7} - 12",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{9} \\cdot 10}{9 + 1\\frac{5}{7} - 12}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.54, bodu=116, $$\frac{(11 + 10)^2 - (3\frac{5}{7} - 3\frac{4}{11})}{-6}=\textcolor{white}{-73\frac{34}{77}}$$return {
["body"] = 116,
["id"] = "HuO1TL_1004_2254",
["obtiznost"] = 1.1168,
["reseni"] = {
["float"] = -73.441558441558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5655,
["jmenovatel"] = 77 },
["render"] = "\\frac{33930}{-462}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{34}{77}",
["x"] = -73,
["y"] = 34,
["z"] = 77 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - 3\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} - 3\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "(11 + 10)^2 - (3\\frac{5}{7} - 3\\frac{4}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{(11 + 10)^2 - (3\\frac{5}{7} - 3\\frac{4}{11})}{-6}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.55, bodu=120, $$(11 + \frac{11}{10 - 1\frac{3}{4}}) \cdot (3\frac{4}{9} + 3\frac{4}{9})=\textcolor{white}{84\frac{26}{27}}$$return {
["body"] = 120,
["id"] = "pW0WFR_1004_2254",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 84.962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2294,
["jmenovatel"] = 27 },
["render"] = "\\frac{2294}{27}",
["typ"] = "cislo" },
["tex"] = "84\\frac{26}{27}",
["x"] = 84,
["y"] = 26,
["z"] = 27 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "\\frac{11}{10 - 1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{11}{10 - 1\\frac{3}{4}}",
["typ"] = "plus" },
["render"] = "(11 + \\frac{11}{10 - 1\\frac{3}{4}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{9} + 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "(11 + \\frac{11}{10 - 1\\frac{3}{4}}) \\cdot (3\\frac{4}{9} + 3\\frac{4}{9})",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.56, bodu=50, $$\frac{(14 - 6)^2}{10} - (-15 + (-11))=\textcolor{white}{32{,}4}$$return {
["body"] = 50,
["id"] = "UA8lTE_1004_2254",
["obtiznost"] = 0.586,
["reseni"] = {
["float"] = 32.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 162,
["jmenovatel"] = 5 },
["render"] = "\\frac{162}{5}",
["typ"] = "cislo" },
["tex"] = "32\\frac{2}{5}",
["tex_float"] = "32{,}4",
["x"] = 32,
["y"] = 2,
["z"] = 5 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(14 - 6)^2}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-15 + (-11)",
["typ"] = "plus" },
["render"] = "(-15 + (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{(14 - 6)^2}{10} - (-15 + (-11))",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.57, bodu=48, $$\frac{\frac{\frac{14}{-11} + 18}{11}}{6}=\textcolor{white}{\frac{92}{363}}$$return {
["body"] = 48,
["id"] = "8N9iWx_1004_2254",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.2534435261708,
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 363 },
["render"] = "\\frac{184}{726}",
["typ"] = "cislo" },
["tex"] = "\\frac{92}{363}",
["y"] = 92,
["z"] = 363 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-11} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{-11} + 18}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{14}{-11} + 18}{11}}{6}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.58, bodu=155, $$-18 \cdot (3\frac{5}{7} - (3\frac{2}{10} + 1\frac{3}{8} - 2\frac{2}{7}))=\textcolor{white}{-25{,}65}$$return {
["body"] = 155,
["id"] = "Tb0FQV_1004_2254",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -25.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -513,
["jmenovatel"] = 20 },
["render"] = "\\frac{-1026}{40}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{13}{20}",
["tex_float"] = "-25{,}65",
["x"] = -25,
["y"] = 13,
["z"] = 20 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7})",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}))",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.59, bodu=32, $$10 - (13 - (-5))^2 - (10 - (-16))=\textcolor{white}{-340}$$return {
["body"] = 32,
["id"] = "8Bg89e_1004_2254",
["obtiznost"] = 0.72,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -340,
["jmenovatel"] = 1 },
["render"] = "\\frac{-340}{1}",
["typ"] = "cislo" },
["tex"] = "-340",
["tex_float"] = "-340",
["x"] = -340 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "10 - (13 - (-5))^2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "10 - (-16)",
["typ"] = "minus" },
["render"] = "(10 - (-16))",
["typ"] = "zavorka" },
["render"] = "10 - (13 - (-5))^2 - (10 - (-16))",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.6, bodu=100, $$\frac{\frac{8}{1\frac{3}{8} - (-15)}}{13 - (14 + 1\frac{2}{3})}=\textcolor{white}{-\frac{24}{131}}$$return {
["body"] = 100,
["id"] = "MeoCae_1004_2254",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -0.18320610687023,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 131 },
["render"] = "\\frac{192}{-1048}",
["typ"] = "cislo" },
["tex"] = "-\\frac{24}{131}",
["y"] = -24,
["z"] = 131 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{8}{1\\frac{3}{8} - (-15)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{2}{3})",
["typ"] = "zavorka" },
["render"] = "13 - (14 + 1\\frac{2}{3})",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{8}{1\\frac{3}{8} - (-15)}}{13 - (14 + 1\\frac{2}{3})}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.61, bodu=105, $$(\frac{7}{10} - (\frac{4\frac{3}{9}}{-13})^4) \cdot 4\frac{1}{3}=\textcolor{white}{2\frac{2381}{2430}}$$return {
["body"] = 105,
["id"] = "Hj2dwb_1004_2254",
["obtiznost"] = 1.0428,
["reseni"] = {
["float"] = 2.9798353909465,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7241,
["jmenovatel"] = 2430 },
["render"] = "\\frac{7241}{2430}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2381}{2430}",
["x"] = 2,
["y"] = 2381,
["z"] = 2430 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{-13}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{3}{9}}{-13})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4",
["typ"] = "minus" },
["render"] = "(\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4) \\cdot 4\\frac{1}{3}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.62, bodu=26, $$(8 - (-16 \cdot -11)) \cdot -12 \cdot -16=\textcolor{white}{-32256}$$return {
["body"] = 26,
["id"] = "j6VlgJ_1004_2254",
["obtiznost"] = 0.62,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -32256,
["jmenovatel"] = 1 },
["render"] = "\\frac{-32256}{1}",
["typ"] = "cislo" },
["tex"] = "-32256",
["tex_float"] = "-32256",
["x"] = -32256 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -11",
["typ"] = "krat" },
["render"] = "8 - (-16 \\cdot -11)",
["typ"] = "minus" },
["render"] = "(8 - (-16 \\cdot -11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(8 - (-16 \\cdot -11)) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(8 - (-16 \\cdot -11)) \\cdot -12 \\cdot -16",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.63, bodu=104, $$15 \cdot (5 - 12) + \frac{-9}{1\frac{5}{10} + 1\frac{1}{3}}=\textcolor{white}{-108\frac{3}{17}}$$return {
["body"] = 104,
["id"] = "YG75T0_1004_2254",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -108.17647058824,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1839,
["jmenovatel"] = 17 },
["render"] = "\\frac{-1839}{17}",
["typ"] = "cislo" },
["tex"] = "-108\\frac{3}{17}",
["x"] = -108,
["y"] = 3,
["z"] = 17 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 - 12",
["typ"] = "minus" },
["render"] = "(5 - 12)",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (5 - 12)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{1\\frac{5}{10} + 1\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "15 \\cdot (5 - 12) + \\frac{-9}{1\\frac{5}{10} + 1\\frac{1}{3}}",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.64, bodu=134, $$\frac{\frac{-10}{3\frac{3}{6}}}{\frac{2\frac{5}{12} \cdot 3\frac{3}{6}}{-12}}=\textcolor{white}{4\frac{76}{1421}}$$return {
["body"] = 134,
["id"] = "XWKJrS_1004_2254",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 4.0534834623505,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5760,
["jmenovatel"] = 1421 },
["render"] = "\\frac{-5760}{-1421}",
["typ"] = "cislo" },
["tex"] = "4\\frac{76}{1421}",
["x"] = 4,
["y"] = 76,
["z"] = 1421 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} \\cdot 3\\frac{3}{6}}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-10}{3\\frac{3}{6}}}{\\frac{2\\frac{5}{12} \\cdot 3\\frac{3}{6}}{-12}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.65, bodu=135, $$-16 + (-15 - (2\frac{3}{9} - 4\frac{2}{5}) + \frac{-16}{2\frac{5}{12}})=\textcolor{white}{-35\frac{241}{435}}$$return {
["body"] = 135,
["id"] = "13vVIM_1004_2254",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -35.554022988506,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15466,
["jmenovatel"] = 435 },
["render"] = "\\frac{-15466}{435}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{241}{435}",
["x"] = -35,
["y"] = 241,
["z"] = 435 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{9} - 4\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "-15 - (2\\frac{3}{9} - 4\\frac{2}{5})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "-15 - (2\\frac{3}{9} - 4\\frac{2}{5}) + \\frac{-16}{2\\frac{5}{12}}",
["typ"] = "plus" },
["render"] = "-16 + (-15 - (2\\frac{3}{9} - 4\\frac{2}{5}) + \\frac{-16}{2\\frac{5}{12}})",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.66, bodu=108, $$\frac{4\frac{3}{7} + 17}{-10} \cdot -16 - (3\frac{3}{9} - 4)=\textcolor{white}{34\frac{20}{21}}$$return {
["body"] = 108,
["id"] = "IBYVYq_1004_2254",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 34.952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 734,
["jmenovatel"] = 21 },
["render"] = "\\frac{734}{21}",
["typ"] = "cislo" },
["tex"] = "34\\frac{20}{21}",
["x"] = 34,
["y"] = 20,
["z"] = 21 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7} + 17}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7} + 17}{-10} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 4",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{9} - 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{7} + 17}{-10} \\cdot -16 - (3\\frac{3}{9} - 4)",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.67, bodu=109, $$\frac{11}{15 - (3\frac{1}{8} - 2\frac{3}{8} \cdot 12)}=\textcolor{white}{\frac{88}{323}}$$return {
["body"] = 109,
["id"] = "Kjn5CH_1004_2254",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.27244582043344,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 323 },
["render"] = "\\frac{88}{323}",
["typ"] = "cislo" },
["tex"] = "\\frac{88}{323}",
["y"] = 88,
["z"] = 323 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 12",
["typ"] = "krat" },
["render"] = "3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "15 - (3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)",
["typ"] = "minus" },
["render"] = "\\frac{11}{15 - (3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.68, bodu=111, $$1\frac{3}{10} \cdot (16 + \frac{9}{-18} - (1\frac{2}{11} + (-13)))=\textcolor{white}{35\frac{113}{220}}$$return {
["body"] = 111,
["id"] = "L9j3y2_1004_2254",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 35.513636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7813,
["jmenovatel"] = 220 },
["render"] = "\\frac{7813}{220}",
["typ"] = "cislo" },
["tex"] = "35\\frac{113}{220}",
["x"] = 35,
["y"] = 113,
["z"] = 220 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} + (-13)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{11} + (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{-18} - (1\\frac{2}{11} + (-13))",
["typ"] = "minus" },
["render"] = "16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13))",
["typ"] = "plus" },
["render"] = "(16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13)))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{10} \\cdot (16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13)))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.69, bodu=207, $$(3\frac{4}{10} - 4\frac{5}{13} - 1\frac{1}{10}) \cdot (2\frac{2}{6} - (-13 \cdot 4\frac{4}{9}))=\textcolor{white}{-125\frac{361}{1170}}$$return {
["body"] = 207,
["id"] = "S3vKpW_1004_2254",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -125.30854700855,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146611,
["jmenovatel"] = 1170 },
["render"] = "\\frac{-146611}{1170}",
["typ"] = "cislo" },
["tex"] = "-125\\frac{361}{1170}",
["x"] = -125,
["y"] = 361,
["z"] = 1170 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 4\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9})",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9}))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10}) \\cdot (2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9}))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.7, bodu=113, $$4\frac{3}{11} + (-21) + (-12 - 15) \cdot (2\frac{2}{6} - (-15))=\textcolor{white}{-484\frac{8}{11}}$$return {
["body"] = 113,
["id"] = "8AMmiX_1004_2254",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -484.72727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5332,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5332}{11}",
["typ"] = "cislo" },
["tex"] = "-484\\frac{8}{11}",
["x"] = -484,
["y"] = 8,
["z"] = 11 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} + (-21)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-12 - 15",
["typ"] = "minus" },
["render"] = "(-12 - 15)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} - (-15)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{6} - (-15))",
["typ"] = "zavorka" },
["render"] = "(-12 - 15) \\cdot (2\\frac{2}{6} - (-15))",
["typ"] = "krat" },
["render"] = "4\\frac{3}{11} + (-21) + (-12 - 15) \\cdot (2\\frac{2}{6} - (-15))",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.71, bodu=63, $$\frac{-14}{16} - \frac{12}{-7} \cdot 14=\textcolor{white}{23{,}125}$$return {
["body"] = 63,
["id"] = "M7aMo1_1004_2254",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 23.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 185,
["jmenovatel"] = 8 },
["render"] = "\\frac{185}{8}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{8}",
["tex_float"] = "23{,}125",
["x"] = 23,
["y"] = 1,
["z"] = 8 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-7} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{-14}{16} - \\frac{12}{-7} \\cdot 14",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.72, bodu=111, $$\frac{(6 - 10)^3}{(\frac{12}{-18 \cdot 2\frac{2}{6}})^3}=\textcolor{white}{2744}$$return {
["body"] = 111,
["id"] = "KwjMRP_1004_2254",
["obtiznost"] = 1.0864,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2744,
["jmenovatel"] = 1 },
["render"] = "\\frac{-21952}{-8}",
["typ"] = "cislo" },
["tex"] = "2744",
["tex_float"] = "2744",
["x"] = 2744 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.72",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(6 - 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "\\frac{12}{-18 \\cdot 2\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-18 \\cdot 2\\frac{2}{6}})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(6 - 10)^3}{(\\frac{12}{-18 \\cdot 2\\frac{2}{6}})^3}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.73, bodu=118, $$1\frac{2}{10} + (-8 + 4\frac{2}{10} - \frac{-8 - (-19)}{-12})=\textcolor{white}{-1\frac{41}{60}}$$return {
["body"] = 118,
["id"] = "8tYkKM_1004_2254",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -1.6833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -101,
["jmenovatel"] = 60 },
["render"] = "\\frac{-505}{300}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{41}{60}",
["x"] = -1,
["y"] = 41,
["z"] = 60 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-8 - (-19)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - (-19)}{-12}",
["typ"] = "lomeno" },
["render"] = "-8 + 4\\frac{2}{10} - \\frac{-8 - (-19)}{-12}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{10} + (-8 + 4\\frac{2}{10} - \\frac{-8 - (-19)}{-12})",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.74, bodu=281, $$4\frac{2}{7} + (\frac{1\frac{2}{6}}{1\frac{3}{11}})^2 - \frac{(3\frac{3}{6} + (-14))^2}{4}=\textcolor{white}{-22\frac{1265}{7056}}$$return {
["body"] = 281,
["id"] = "8W4EuT_1004_2254",
["obtiznost"] = 2.088,
["reseni"] = {
["float"] = -22.179280045351,
["objekt"] = {
["hodnota"] = {
["citatel"] = -156497,
["jmenovatel"] = 7056 },
["render"] = "\\frac{-156497}{7056}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{1265}{7056}",
["x"] = -22,
["y"] = 1265,
["z"] = 7056 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{1\\frac{3}{11}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{7} + (\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + (-14)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{6} + (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{3}{6} + (-14))^2}{4}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{7} + (\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2 - \\frac{(3\\frac{3}{6} + (-14))^2}{4}",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.75, bodu=170, $$21 + 4\frac{4}{10} + (-16) - (2\frac{3}{8} + (\frac{-7}{-9 - (-16)})^2)^2=\textcolor{white}{-1\frac{317}{320}}$$return {
["body"] = 170,
["id"] = "hXrXov_1004_2254",
["obtiznost"] = 1.468,
["reseni"] = {
["float"] = -1.990625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -637,
["jmenovatel"] = 320 },
["render"] = "\\frac{-637}{320}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{317}{320}",
["x"] = -1,
["y"] = 317,
["z"] = 320 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "21 + 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "21 + 4\\frac{4}{10} + (-16)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-9 - (-16)",
["typ"] = "minus" },
["render"] = "\\frac{-7}{-9 - (-16)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{-9 - (-16)})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2)^2",
["typ"] = "mocnina" },
["render"] = "21 + 4\\frac{4}{10} + (-16) - (2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2)^2",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.76, bodu=152, $$(4\frac{5}{11} + \frac{-15 + (-11)}{20}) \cdot \frac{4\frac{5}{6}}{2\frac{2}{10}}=\textcolor{white}{6\frac{1351}{1452}}$$return {
["body"] = 152,
["id"] = "jsXKMo_1004_2254",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 6.9304407713499,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10063,
["jmenovatel"] = 1452 },
["render"] = "\\frac{50315}{7260}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1351}{1452}",
["x"] = 6,
["y"] = 1351,
["z"] = 1452 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-15 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-15 + (-11)}{20}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} + \\frac{-15 + (-11)}{20}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + \\frac{-15 + (-11)}{20})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{6}}{2\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{11} + \\frac{-15 + (-11)}{20}) \\cdot \\frac{4\\frac{5}{6}}{2\\frac{2}{10}}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.77, bodu=131, $$(-13 - 12)^2 - (11 + 1\frac{3}{8} \cdot -5 + (-18))=\textcolor{white}{638{,}875}$$return {
["body"] = 131,
["id"] = "sWnIwo_1004_2254",
["obtiznost"] = 1.2204,
["reseni"] = {
["float"] = 638.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5111,
["jmenovatel"] = 8 },
["render"] = "\\frac{5111}{8}",
["typ"] = "cislo" },
["tex"] = "638\\frac{7}{8}",
["tex_float"] = "638{,}875",
["x"] = 638,
["y"] = 7,
["z"] = 8 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.77",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot -5",
["typ"] = "krat" },
["render"] = "11 + 1\\frac{3}{8} \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{3}{8} \\cdot -5 + (-18)",
["typ"] = "plus" },
["render"] = "(11 + 1\\frac{3}{8} \\cdot -5 + (-18))",
["typ"] = "zavorka" },
["render"] = "(-13 - 12)^2 - (11 + 1\\frac{3}{8} \\cdot -5 + (-18))",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.78, bodu=223, $$(17 + (-13) + 2\frac{4}{12}) \cdot (2\frac{5}{8} + 2\frac{1}{6} + 3\frac{1}{2} + (-17 - 1\frac{2}{6}))=\textcolor{white}{-63\frac{43}{72}}$$return {
["body"] = 223,
["id"] = "4AgaHu_1004_2254",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -63.597222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4579,
["jmenovatel"] = 72 },
["render"] = "\\frac{-4579}{72}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{43}{72}",
["x"] = -63,
["y"] = 43,
["z"] = 72 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "17 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "17 + (-13) + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(17 + (-13) + 2\\frac{4}{12})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 3\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-17 - 1\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6})",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "(17 + (-13) + 2\\frac{4}{12}) \\cdot (2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6}))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.79, bodu=73, $$\frac{8 \cdot 20 \cdot -11}{\frac{-13}{-10}}=\textcolor{white}{-1353\frac{11}{13}}$$return {
["body"] = 73,
["id"] = "FEbzXh_1004_2254",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -1353.8461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17600,
["jmenovatel"] = 13 },
["render"] = "\\frac{-17600}{13}",
["typ"] = "cislo" },
["tex"] = "-1353\\frac{11}{13}",
["x"] = -1353,
["y"] = 11,
["z"] = 13 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "20 \\cdot -11",
["typ"] = "krat" },
["render"] = "8 \\cdot 20 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{8 \\cdot 20 \\cdot -11}{\\frac{-13}{-10}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.8, bodu=227, $$\frac{-12}{1\frac{1}{6}} \cdot 4\frac{5}{14} \cdot (\frac{4\frac{4}{12}}{3\frac{1}{10}} + 3\frac{2}{5})=\textcolor{white}{-215\frac{167}{7595}}$$return {
["body"] = 227,
["id"] = "JJJy8K_1004_2254",
["obtiznost"] = 1.8,
["reseni"] = {
["float"] = -215.0219881501,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1633092,
["jmenovatel"] = 7595 },
["render"] = "\\frac{-4899276}{22785}",
["typ"] = "cislo" },
["tex"] = "-215\\frac{167}{7595}",
["x"] = -215,
["y"] = 167,
["z"] = 7595 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{1}{6}} \\cdot 4\\frac{5}{14}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{3\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{-12}{1\\frac{1}{6}} \\cdot 4\\frac{5}{14} \\cdot (\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5})",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.81, bodu=129, $$12 \cdot (4\frac{3}{6} \cdot 9 - (4\frac{1}{3} - (-17))) + 8=\textcolor{white}{238}$$return {
["body"] = 129,
["id"] = "VvoWYr_1004_2254",
["obtiznost"] = 1.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 238,
["jmenovatel"] = 1 },
["render"] = "\\frac{238}{1}",
["typ"] = "cislo" },
["tex"] = "238",
["x"] = 238 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} - (-17)",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{3} - (-17))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17))",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17)))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17)))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 \\cdot (4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17))) + 8",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.82, bodu=195, $$\frac{10}{18 - 1\frac{1}{5}} - \frac{4\frac{3}{8}}{3\frac{2}{6} \cdot 3\frac{4}{12}}=\textcolor{white}{\frac{677}{3360}}$$return {
["body"] = 195,
["id"] = "2YxMz4_1004_2254",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 0.2014880952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 677,
["jmenovatel"] = 3360 },
["render"] = "\\frac{1354}{6720}",
["typ"] = "cislo" },
["tex"] = "\\frac{677}{3360}",
["y"] = 677,
["z"] = 3360 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "18 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{10}{18 - 1\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot 3\\frac{4}{12}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{8}}{3\\frac{2}{6} \\cdot 3\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{18 - 1\\frac{1}{5}} - \\frac{4\\frac{3}{8}}{3\\frac{2}{6} \\cdot 3\\frac{4}{12}}",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.83, bodu=104, $$\frac{-11}{\frac{3\frac{4}{12}}{-10 \cdot (\frac{12}{15} + 13)}}=\textcolor{white}{455{,}4}$$return {
["body"] = 104,
["id"] = "mNdUIU_1004_2254",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 455.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2277,
["jmenovatel"] = 5 },
["render"] = "\\frac{-2277}{-5}",
["typ"] = "cislo" },
["tex"] = "455\\frac{2}{5}",
["tex_float"] = "455{,}4",
["x"] = 455,
["y"] = 2,
["z"] = 5 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{15} + 13",
["typ"] = "plus" },
["render"] = "(\\frac{12}{15} + 13)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (\\frac{12}{15} + 13)",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{12}}{-10 \\cdot (\\frac{12}{15} + 13)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{3\\frac{4}{12}}{-10 \\cdot (\\frac{12}{15} + 13)}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.84, bodu=118, $$\frac{2\frac{3}{8} + (-21)}{-9 - 16} + (-11 + (-5 - 10)^2)=\textcolor{white}{214{,}745}$$return {
["body"] = 118,
["id"] = "o27sck_1004_2254",
["obtiznost"] = 1.1304,
["reseni"] = {
["float"] = 214.745,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42949,
["jmenovatel"] = 200 },
["render"] = "\\frac{42949}{200}",
["typ"] = "cislo" },
["tex"] = "214\\frac{149}{200}",
["tex_float"] = "214{,}745",
["x"] = 214,
["y"] = 149,
["z"] = 200 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + (-21)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 - 16",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{8} + (-21)}{-9 - 16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - 10)^2",
["typ"] = "mocnina" },
["render"] = "-11 + (-5 - 10)^2",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{8} + (-21)}{-9 - 16} + (-11 + (-5 - 10)^2)",
["typ"] = "plus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.85, bodu=167, $$\frac{\frac{12}{7} + 14}{\frac{2\frac{2}{8} + 3\frac{2}{6}}{2\frac{1}{6} - (-13)}}=\textcolor{white}{42\frac{46}{67}}$$return {
["body"] = 167,
["id"] = "MxsSf7_1004_2254",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 42.686567164179,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2860,
["jmenovatel"] = 67 },
["render"] = "\\frac{20020}{469}",
["typ"] = "cislo" },
["tex"] = "42\\frac{46}{67}",
["x"] = 42,
["y"] = 46,
["z"] = 67 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{7} + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + 3\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{8} + 3\\frac{2}{6}}{2\\frac{1}{6} - (-13)}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{12}{7} + 14}{\\frac{2\\frac{2}{8} + 3\\frac{2}{6}}{2\\frac{1}{6} - (-13)}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.86, bodu=137, $$\frac{-15 - (-14 + 2\frac{5}{10})}{2\frac{4}{10} \cdot -8 \cdot -4 + 12}=\textcolor{white}{-\frac{35}{888}}$$return {
["body"] = 137,
["id"] = "GM7PTR_1004_2254",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -0.039414414414414,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 888 },
["render"] = "\\frac{-35}{888}",
["typ"] = "cislo" },
["tex"] = "-\\frac{35}{888}",
["y"] = -35,
["z"] = 888 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-14 + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "-15 - (-14 + 2\\frac{5}{10})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["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\\frac{4}{10} \\cdot -8 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -8 \\cdot -4 + 12",
["typ"] = "plus" },
["render"] = "\\frac{-15 - (-14 + 2\\frac{5}{10})}{2\\frac{4}{10} \\cdot -8 \\cdot -4 + 12}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.87, bodu=172, $$(4\frac{5}{12} - ((\frac{-14}{21})^3 - (3\frac{1}{1} + 1\frac{2}{7}))) \cdot 3\frac{3}{9}=\textcolor{white}{33\frac{373}{1134}}$$return {
["body"] = 172,
["id"] = "cz3V7U_1004_2254",
["obtiznost"] = 1.484,
["reseni"] = {
["float"] = 33.328924162257,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37795,
["jmenovatel"] = 1134 },
["render"] = "\\frac{75590}{2268}",
["typ"] = "cislo" },
["tex"] = "33\\frac{373}{1134}",
["x"] = 33,
["y"] = 373,
["z"] = 1134 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{21}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14}{21})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{1} + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{1} + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7})",
["typ"] = "minus" },
["render"] = "((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7})))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))) \\cdot 3\\frac{3}{9}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.88, bodu=140, $$(\frac{13}{19} + 13 - (-6 - 15)) \cdot (2\frac{3}{9} - 1\frac{1}{2})=\textcolor{white}{28\frac{103}{114}}$$return {
["body"] = 140,
["id"] = "blloNJ_1004_2254",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 28.90350877193,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3295,
["jmenovatel"] = 114 },
["render"] = "\\frac{3295}{114}",
["typ"] = "cislo" },
["tex"] = "28\\frac{103}{114}",
["x"] = 28,
["y"] = 103,
["z"] = 114 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{13}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{19} + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-6 - 15",
["typ"] = "minus" },
["render"] = "(-6 - 15)",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{19} + 13 - (-6 - 15)",
["typ"] = "minus" },
["render"] = "(\\frac{13}{19} + 13 - (-6 - 15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - 1\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{9} - 1\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "(\\frac{13}{19} + 13 - (-6 - 15)) \\cdot (2\\frac{3}{9} - 1\\frac{1}{2})",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.89, bodu=112, $$\frac{\frac{-20}{20 - (19 - \frac{3\frac{5}{9}}{-17})}}{-14}=\textcolor{white}{1\frac{683}{847}}$$return {
["body"] = 112,
["id"] = "SNUcbQ_1004_2254",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 1.8063754427391,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1530,
["jmenovatel"] = 847 },
["render"] = "\\frac{-3060}{-1694}",
["typ"] = "cislo" },
["tex"] = "1\\frac{683}{847}",
["x"] = 1,
["y"] = 683,
["z"] = 847 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{-17}",
["typ"] = "lomeno" },
["render"] = "19 - \\frac{3\\frac{5}{9}}{-17}",
["typ"] = "minus" },
["render"] = "(19 - \\frac{3\\frac{5}{9}}{-17})",
["typ"] = "zavorka" },
["render"] = "20 - (19 - \\frac{3\\frac{5}{9}}{-17})",
["typ"] = "minus" },
["render"] = "\\frac{-20}{20 - (19 - \\frac{3\\frac{5}{9}}{-17})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-20}{20 - (19 - \\frac{3\\frac{5}{9}}{-17})}}{-14}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.9, bodu=245, $$\frac{4\frac{2}{8} - 1\frac{1}{8} + 1\frac{4}{9}}{\frac{3\frac{2}{9}}{\frac{-13}{4\frac{1}{8}}}}=\textcolor{white}{-4\frac{449}{957}}$$return {
["body"] = 245,
["id"] = "dnyYJa_1004_2254",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = -4.4691745036573,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4277,
["jmenovatel"] = 957 },
["render"] = "\\frac{102648}{-22968}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{449}{957}",
["x"] = -4,
["y"] = 449,
["z"] = 957 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 1\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 1\\frac{1}{8} + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{9}}{\\frac{-13}{4\\frac{1}{8}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{8} - 1\\frac{1}{8} + 1\\frac{4}{9}}{\\frac{3\\frac{2}{9}}{\\frac{-13}{4\\frac{1}{8}}}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.91, bodu=123, $$((\frac{-14}{20})^2 - 12) \cdot (2\frac{3}{8} \cdot 18 + (-23 + (-10)))=\textcolor{white}{-112\frac{89}{400}}$$return {
["body"] = 123,
["id"] = "0G3OqY_1004_2254",
["obtiznost"] = 1.1696,
["reseni"] = {
["float"] = -112.2225,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44889,
["jmenovatel"] = 400 },
["render"] = "\\frac{-44889}{400}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{89}{400}",
["x"] = -112,
["y"] = 89,
["z"] = 400 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{20}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{20})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{20})^2 - 12",
["typ"] = "minus" },
["render"] = "((\\frac{-14}{20})^2 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-23 + (-10)",
["typ"] = "plus" },
["render"] = "2\\frac{3}{8} \\cdot 18 + (-23 + (-10))",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} \\cdot 18 + (-23 + (-10)))",
["typ"] = "zavorka" },
["render"] = "((\\frac{-14}{20})^2 - 12) \\cdot (2\\frac{3}{8} \\cdot 18 + (-23 + (-10)))",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.92, bodu=256, $$\frac{(1\frac{3}{4} + 1\frac{1}{8})^2}{(-20 - 4\frac{1}{10}) \cdot (\frac{-11}{-7} + 1\frac{3}{8})}=\textcolor{white}{-\frac{3703}{31812}}$$return {
["body"] = 256,
["id"] = "1MsNMa_1004_2254",
["obtiznost"] = 1.9572,
["reseni"] = {
["float"] = -0.11640261536527,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3703,
["jmenovatel"] = 31812 },
["render"] = "\\frac{59248}{-508992}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3703}{31812}",
["y"] = -3703,
["z"] = 31812 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.92",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{4} + 1\\frac{1}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{4} + 1\\frac{1}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "(-20 - 4\\frac{1}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-7} + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{-11}{-7} + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "(-20 - 4\\frac{1}{10}) \\cdot (\\frac{-11}{-7} + 1\\frac{3}{8})",
["typ"] = "krat" },
["render"] = "\\frac{(1\\frac{3}{4} + 1\\frac{1}{8})^2}{(-20 - 4\\frac{1}{10}) \\cdot (\\frac{-11}{-7} + 1\\frac{3}{8})}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.93, bodu=149, $$(-12 - (-10 + (-5)))^3 \cdot (2\frac{1}{4} + 1\frac{3}{8}) \cdot \frac{-10}{-7}=\textcolor{white}{139\frac{23}{28}}$$return {
["body"] = 149,
["id"] = "vv1xTc_1004_2254",
["obtiznost"] = 1.3412,
["reseni"] = {
["float"] = 139.82142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3915,
["jmenovatel"] = 28 },
["render"] = "\\frac{3915}{28}",
["typ"] = "cislo" },
["tex"] = "139\\frac{23}{28}",
["x"] = 139,
["y"] = 23,
["z"] = 28 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.93",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "(-10 + (-5))",
["typ"] = "zavorka" },
["render"] = "-12 - (-10 + (-5))",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-10 + (-5)))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{4} + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-7}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{4} + 1\\frac{3}{8}) \\cdot \\frac{-10}{-7}",
["typ"] = "krat" },
["render"] = "(-12 - (-10 + (-5)))^3 \\cdot (2\\frac{1}{4} + 1\\frac{3}{8}) \\cdot \\frac{-10}{-7}",
["typ"] = "krat" } }
seed: t2sww6rLI9PFgvIzVsyf_0.94, bodu=253, $$\frac{\frac{2\frac{5}{12} \cdot 2\frac{5}{10} + 1\frac{4}{9}}{-10 - 4\frac{4}{7}}}{2\frac{3}{9}}=\textcolor{white}{-\frac{539}{2448}}$$return {
["body"] = 253,
["id"] = "5BcGcz_1004_2254",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = -0.22017973856209,
["objekt"] = {
["hodnota"] = {
["citatel"] = -539,
["jmenovatel"] = 2448 },
["render"] = "\\frac{-11319}{51408}",
["typ"] = "cislo" },
["tex"] = "-\\frac{539}{2448}",
["y"] = -539,
["z"] = 2448 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} \\cdot 2\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}}{-10 - 4\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}}{-10 - 4\\frac{4}{7}}}{2\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.95, bodu=183, $$\frac{-20 - (1\frac{4}{11} - 1\frac{5}{9}) - \frac{18}{-23}}{4\frac{2}{9}}=\textcolor{white}{-4\frac{4865}{9614}}$$return {
["body"] = 183,
["id"] = "nr00f5_1004_2254",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -4.5060328687331,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43321,
["jmenovatel"] = 9614 },
["render"] = "\\frac{-389889}{86526}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4865}{9614}",
["x"] = -4,
["y"] = 4865,
["z"] = 9614 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{11} - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-20 - (1\\frac{4}{11} - 1\\frac{5}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-23}",
["typ"] = "lomeno" },
["render"] = "-20 - (1\\frac{4}{11} - 1\\frac{5}{9}) - \\frac{18}{-23}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-20 - (1\\frac{4}{11} - 1\\frac{5}{9}) - \\frac{18}{-23}}{4\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.96, bodu=185, $$(1\frac{1}{8} \cdot -8 + 11)^2 \cdot (4\frac{3}{10} - (-14)) - 1\frac{2}{7}=\textcolor{white}{71\frac{32}{35}}$$return {
["body"] = 185,
["id"] = "3Hp1tL_1004_2254",
["obtiznost"] = 1.562,
["reseni"] = {
["float"] = 71.914285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2517,
["jmenovatel"] = 35 },
["render"] = "\\frac{2517}{35}",
["typ"] = "cislo" },
["tex"] = "71\\frac{32}{35}",
["x"] = 71,
["y"] = 32,
["z"] = 35 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot -8 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} - (-14)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{10} - (-14))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2 \\cdot (4\\frac{3}{10} - (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2 \\cdot (4\\frac{3}{10} - (-14)) - 1\\frac{2}{7}",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.97, bodu=187, $$\frac{4\frac{4}{7}}{-14 \cdot (\frac{1\frac{2}{5}}{23} - (-10)) \cdot 4\frac{5}{8}}=\textcolor{white}{-\frac{14720}{2097641}}$$return {
["body"] = 187,
["id"] = "QU8VGj_1004_2254",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -0.0070174066963794,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14720,
["jmenovatel"] = 2097641 },
["render"] = "\\frac{14720}{-2097641}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14720}{2097641}",
["y"] = -14720,
["z"] = 2097641 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{23}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{23} - (-10)",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{2}{5}}{23} - (-10))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10)) \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{7}}{-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10)) \\cdot 4\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: t2sww6rLI9PFgvIzVsyf_0.98, bodu=192, $$4\frac{2}{5} - ((-21 - (-14))^2 - (2\frac{5}{5} + 3\frac{4}{13} \cdot -13 + 3\frac{4}{8}))=\textcolor{white}{-81{,}1}$$return {
["body"] = 192,
["id"] = "i0ZUGb_1004_2254",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -81.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -811,
["jmenovatel"] = 10 },
["render"] = "\\frac{-811}{10}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{1}{10}",
["tex_float"] = "-81{,}1",
["x"] = -81,
["y"] = 1,
["z"] = 10 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-21 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-21 - (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "(-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "((-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{5} - ((-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}))",
["typ"] = "minus" } }
seed: t2sww6rLI9PFgvIzVsyf_0.99, bodu=157, $$4\frac{5}{11} \cdot 11 \cdot 11 \cdot (1\frac{3}{10} + 11 \cdot -16)=\textcolor{white}{-94163{,}3}$$return {
["body"] = 157,
["id"] = "qH24Vq_1004_2254",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -94163.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -941633,
["jmenovatel"] = 10 },
["render"] = "\\frac{-941633}{10}",
["typ"] = "cislo" },
["tex"] = "-94163\\frac{3}{10}",
["tex_float"] = "-94163{,}3",
["x"] = -94163,
["y"] = 3,
["z"] = 10 },
["seed"] = "t2sww6rLI9PFgvIzVsyf_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 \\cdot -16",
["typ"] = "krat" },
["render"] = "1\\frac{3}{10} + 11 \\cdot -16",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{10} + 11 \\cdot -16)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (1\\frac{3}{10} + 11 \\cdot -16)",
["typ"] = "krat" },
["render"] = "4\\frac{5}{11} \\cdot 11 \\cdot 11 \\cdot (1\\frac{3}{10} + 11 \\cdot -16)",
["typ"] = "krat" } }
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