- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: broNvlVogACBynJJvkZU_0, bodu=27, $$\frac{7}{(\frac{9}{5})^3}=\textcolor{white}{1\frac{146}{729}}$$return {
["body"] = 27,
["id"] = "e2Jlai_0920_2229",
["obtiznost"] = 0.3416,
["reseni"] = {
["float"] = 1.2002743484225,
["objekt"] = {
["hodnota"] = {
["citatel"] = 875,
["jmenovatel"] = 729 },
["render"] = "\\frac{875}{729}",
["typ"] = "cislo" },
["tex"] = "1\\frac{146}{729}",
["x"] = 1,
["y"] = 146,
["z"] = 729 },
["seed"] = "broNvlVogACBynJJvkZU_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{5})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(\\frac{9}{5})^3}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.01, bodu=10, $$\frac{7}{9 + 9 - 5}=\textcolor{white}{\frac{7}{13}}$$return {
["body"] = 10,
["id"] = "3jakI6_0920_2229",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.53846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 13 },
["render"] = "\\frac{7}{13}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{13}",
["y"] = 7,
["z"] = 13 },
["seed"] = "broNvlVogACBynJJvkZU_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 9 - 5",
["typ"] = "minus" },
["render"] = "\\frac{7}{9 + 9 - 5}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.02, bodu=29, $$(\frac{4}{8} - 8 - 7)^2=\textcolor{white}{210{,}25}$$return {
["body"] = 29,
["id"] = "Mrgeum_0920_2229",
["obtiznost"] = 0.358,
["reseni"] = {
["float"] = 210.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 841,
["jmenovatel"] = 4 },
["render"] = "\\frac{841}{4}",
["typ"] = "cislo" },
["tex"] = "210\\frac{1}{4}",
["tex_float"] = "210{,}25",
["x"] = 210,
["y"] = 1,
["z"] = 4 },
["seed"] = "broNvlVogACBynJJvkZU_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8} - 8 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{8} - 8 - 7)^2",
["typ"] = "mocnina" } }
seed: broNvlVogACBynJJvkZU_0.03, bodu=10, $$7 \cdot (5 - \frac{9}{10})=\textcolor{white}{28{,}7}$$return {
["body"] = 10,
["id"] = "jVjkF8_0920_2229",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 28.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 287,
["jmenovatel"] = 10 },
["render"] = "\\frac{287}{10}",
["typ"] = "cislo" },
["tex"] = "28\\frac{7}{10}",
["tex_float"] = "28{,}7",
["x"] = 28,
["y"] = 7,
["z"] = 10 },
["seed"] = "broNvlVogACBynJJvkZU_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{9}{10}",
["typ"] = "minus" },
["render"] = "(5 - \\frac{9}{10})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (5 - \\frac{9}{10})",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.04, bodu=5, $$7 \cdot 6 \cdot 5=\textcolor{white}{210}$$return {
["body"] = 5,
["id"] = "okMZG7_0920_2229",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 210,
["jmenovatel"] = 1 },
["render"] = "\\frac{210}{1}",
["typ"] = "cislo" },
["tex"] = "210",
["x"] = 210 },
["seed"] = "broNvlVogACBynJJvkZU_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6 \\cdot 5",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.05, bodu=11, $$\frac{7 \cdot 5}{4}=\textcolor{white}{8{,}75}$$return {
["body"] = 11,
["id"] = "9QsNjc_0920_2229",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 8.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 4 },
["render"] = "\\frac{35}{4}",
["typ"] = "cislo" },
["tex"] = "8\\frac{3}{4}",
["tex_float"] = "8{,}75",
["x"] = 8,
["y"] = 3,
["z"] = 4 },
["seed"] = "broNvlVogACBynJJvkZU_0.05",
["zadani"] = {
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 5}{4}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.06, bodu=5, $$(7 + (-9)) \cdot (9 - 5)=\textcolor{white}{-8}$$return {
["body"] = 5,
["id"] = "EEOXcA_0920_2229",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{1}",
["typ"] = "cislo" },
["tex"] = "-8",
["tex_float"] = "-8",
["x"] = -8 },
["seed"] = "broNvlVogACBynJJvkZU_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 + (-9)",
["typ"] = "plus" },
["render"] = "(7 + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 5",
["typ"] = "minus" },
["render"] = "(9 - 5)",
["typ"] = "zavorka" },
["render"] = "(7 + (-9)) \\cdot (9 - 5)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.07, bodu=19, $$\frac{-5}{(4 \cdot 5)^2}=\textcolor{white}{-\frac{1}{80}}$$return {
["body"] = 19,
["id"] = "OmQa5Z_0920_2229",
["obtiznost"] = 0.2304,
["reseni"] = {
["float"] = -0.0125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 80 },
["render"] = "\\frac{-5}{400}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{80}",
["y"] = -1,
["z"] = 80 },
["seed"] = "broNvlVogACBynJJvkZU_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4 \\cdot 5)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-5}{(4 \\cdot 5)^2}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.08, bodu=12, $$(\frac{3}{-6})^3 \cdot 9=\textcolor{white}{-1{,}125}$$return {
["body"] = 12,
["id"] = "uvGDMX_0920_2229",
["obtiznost"] = 0.0836,
["reseni"] = {
["float"] = -1.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 8 },
["render"] = "\\frac{-9}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{8}",
["tex_float"] = "-1{,}125",
["x"] = -1,
["y"] = 1,
["z"] = 8 },
["seed"] = "broNvlVogACBynJJvkZU_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3}{-6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{3}{-6})^3 \\cdot 9",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.09, bodu=24, $$11 \cdot (-12 + 5 - 2\frac{3}{5})=\textcolor{white}{-105{,}6}$$return {
["body"] = 24,
["id"] = "aYXIjp_0920_2229",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -105.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -528,
["jmenovatel"] = 5 },
["render"] = "\\frac{-528}{5}",
["typ"] = "cislo" },
["tex"] = "-105\\frac{3}{5}",
["tex_float"] = "-105{,}6",
["x"] = -105,
["y"] = 3,
["z"] = 5 },
["seed"] = "broNvlVogACBynJJvkZU_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-12 + 5 - 2\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(-12 + 5 - 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-12 + 5 - 2\\frac{3}{5})",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.1, bodu=12, $$\frac{8 - 6 \cdot -10}{11}=\textcolor{white}{6\frac{2}{11}}$$return {
["body"] = 12,
["id"] = "8CNcfM_0920_2229",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 6.1818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 68,
["jmenovatel"] = 11 },
["render"] = "\\frac{68}{11}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{11}",
["x"] = 6,
["y"] = 2,
["z"] = 11 },
["seed"] = "broNvlVogACBynJJvkZU_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10",
["typ"] = "krat" },
["render"] = "8 - 6 \\cdot -10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8 - 6 \\cdot -10}{11}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.11, bodu=28, $$12 \cdot (9 + (1\frac{4}{5} \cdot 5)^2)=\textcolor{white}{1080}$$return {
["body"] = 28,
["id"] = "L4R0IM_0920_2229",
["obtiznost"] = 0.3428,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1080,
["jmenovatel"] = 1 },
["render"] = "\\frac{1080}{1}",
["typ"] = "cislo" },
["tex"] = "1080",
["tex_float"] = "1080",
["x"] = 1080 },
["seed"] = "broNvlVogACBynJJvkZU_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{4}{5} \\cdot 5)^2",
["typ"] = "mocnina" },
["render"] = "9 + (1\\frac{4}{5} \\cdot 5)^2",
["typ"] = "plus" },
["render"] = "(9 + (1\\frac{4}{5} \\cdot 5)^2)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (9 + (1\\frac{4}{5} \\cdot 5)^2)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.12, bodu=11, $$(8 + 10 - (7 - 8)^3)^2=\textcolor{white}{361}$$return {
["body"] = 11,
["id"] = "iiiwcA_0920_2229",
["obtiznost"] = 0.2656,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 361,
["jmenovatel"] = 1 },
["render"] = "\\frac{361}{1}",
["typ"] = "cislo" },
["tex"] = "361",
["tex_float"] = "361",
["x"] = 361 },
["seed"] = "broNvlVogACBynJJvkZU_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 8)^3",
["typ"] = "mocnina" },
["render"] = "10 - (7 - 8)^3",
["typ"] = "minus" },
["render"] = "8 + 10 - (7 - 8)^3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 10 - (7 - 8)^3)^2",
["typ"] = "mocnina" } }
seed: broNvlVogACBynJJvkZU_0.13, bodu=66, $$2\frac{2}{5} - (7 + 2\frac{3}{5} \cdot 4\frac{5}{7})=\textcolor{white}{-16\frac{6}{7}}$$return {
["body"] = 66,
["id"] = "tHrs5z_0920_2229",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -16.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -118,
["jmenovatel"] = 7 },
["render"] = "\\frac{-2950}{175}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{6}{7}",
["x"] = -16,
["y"] = 6,
["z"] = 7 },
["seed"] = "broNvlVogACBynJJvkZU_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "7 + 2\\frac{3}{5} \\cdot 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(7 + 2\\frac{3}{5} \\cdot 4\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} - (7 + 2\\frac{3}{5} \\cdot 4\\frac{5}{7})",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.14, bodu=7, $$((6 - 12)^2 + (-10)) \cdot 7=\textcolor{white}{182}$$return {
["body"] = 7,
["id"] = "um2Smb_0920_2229",
["obtiznost"] = 0.1548,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 182,
["jmenovatel"] = 1 },
["render"] = "\\frac{182}{1}",
["typ"] = "cislo" },
["tex"] = "182",
["x"] = 182 },
["seed"] = "broNvlVogACBynJJvkZU_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(6 - 12)^2 + (-10)",
["typ"] = "plus" },
["render"] = "((6 - 12)^2 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "((6 - 12)^2 + (-10)) \\cdot 7",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.15, bodu=15, $$10 \cdot \frac{10}{-7}=\textcolor{white}{-14\frac{2}{7}}$$return {
["body"] = 15,
["id"] = "Q8D5WM_0920_2229",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -14.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 7 },
["render"] = "\\frac{-100}{7}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{2}{7}",
["x"] = -14,
["y"] = 2,
["z"] = 7 },
["seed"] = "broNvlVogACBynJJvkZU_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{10}{-7}",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.16, bodu=8, $$(13 - 7)^2 - 9 - 9=\textcolor{white}{18}$$return {
["body"] = 8,
["id"] = "okQ8V7_0920_2229",
["obtiznost"] = 0.1748,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["x"] = 18 },
["seed"] = "broNvlVogACBynJJvkZU_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(13 - 7)^2 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(13 - 7)^2 - 9 - 9",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.17, bodu=8, $$((-5 + 5) \cdot 11 \cdot -10)^3=\textcolor{white}{0}$$return {
["body"] = 8,
["id"] = "hSkrPQ_0920_2229",
["obtiznost"] = 0.1704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "broNvlVogACBynJJvkZU_0.17",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 + 5",
["typ"] = "plus" },
["render"] = "(-5 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-5 + 5) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-5 + 5) \\cdot 11 \\cdot -10",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((-5 + 5) \\cdot 11 \\cdot -10)^3",
["typ"] = "mocnina" } }
seed: broNvlVogACBynJJvkZU_0.18, bodu=31, $$\frac{\frac{5}{2\frac{4}{8}} - 9}{5}=\textcolor{white}{-1{,}4}$$return {
["body"] = 31,
["id"] = "QJavj1_0920_2229",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -1.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 5 },
["render"] = "\\frac{-7}{5}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{5}",
["tex_float"] = "-1{,}4",
["x"] = -1,
["y"] = 2,
["z"] = 5 },
["seed"] = "broNvlVogACBynJJvkZU_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2\\frac{4}{8}} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{2\\frac{4}{8}} - 9}{5}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.19, bodu=8, $$-8 + (-4) - (9 - (-10))=\textcolor{white}{-31}$$return {
["body"] = 8,
["id"] = "DQwsu7_0920_2229",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -31,
["jmenovatel"] = 1 },
["render"] = "\\frac{-31}{1}",
["typ"] = "cislo" },
["tex"] = "-31",
["x"] = -31 },
["seed"] = "broNvlVogACBynJJvkZU_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-8 + (-4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 - (-10)",
["typ"] = "minus" },
["render"] = "(9 - (-10))",
["typ"] = "zavorka" },
["render"] = "-8 + (-4) - (9 - (-10))",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.2, bodu=18, $$\frac{8}{-6 \cdot 10 + (-7)}=\textcolor{white}{-\frac{8}{67}}$$return {
["body"] = 18,
["id"] = "USKrTg_0920_2229",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -0.11940298507463,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 67 },
["render"] = "\\frac{8}{-67}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{67}",
["y"] = -8,
["z"] = 67 },
["seed"] = "broNvlVogACBynJJvkZU_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 10 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{8}{-6 \\cdot 10 + (-7)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.21, bodu=33, $$-7 \cdot \frac{11 - 1\frac{3}{4}}{12}=\textcolor{white}{-5\frac{19}{48}}$$return {
["body"] = 33,
["id"] = "Cw6Pau_0920_2229",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -5.3958333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -259,
["jmenovatel"] = 48 },
["render"] = "\\frac{-259}{48}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{19}{48}",
["x"] = -5,
["y"] = 19,
["z"] = 48 },
["seed"] = "broNvlVogACBynJJvkZU_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{3}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 1\\frac{3}{4}}{12}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{11 - 1\\frac{3}{4}}{12}",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.22, bodu=36, $$(\frac{-6}{7})^3 \cdot (-12 - 4)=\textcolor{white}{10\frac{26}{343}}$$return {
["body"] = 36,
["id"] = "LiZeP6_0920_2229",
["obtiznost"] = 0.4436,
["reseni"] = {
["float"] = 10.075801749271,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3456,
["jmenovatel"] = 343 },
["render"] = "\\frac{3456}{343}",
["typ"] = "cislo" },
["tex"] = "10\\frac{26}{343}",
["x"] = 10,
["y"] = 26,
["z"] = 343 },
["seed"] = "broNvlVogACBynJJvkZU_0.22",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-12 - 4",
["typ"] = "minus" },
["render"] = "(-12 - 4)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-6}{7})^3 \\cdot (-12 - 4)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.23, bodu=9, $$8 \cdot (-9 - (9 \cdot 9 + 7))=\textcolor{white}{-776}$$return {
["body"] = 9,
["id"] = "rFZIj9_0920_2229",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -776,
["jmenovatel"] = 1 },
["render"] = "\\frac{-776}{1}",
["typ"] = "cislo" },
["tex"] = "-776",
["x"] = -776 },
["seed"] = "broNvlVogACBynJJvkZU_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9 + 7",
["typ"] = "plus" },
["render"] = "(9 \\cdot 9 + 7)",
["typ"] = "zavorka" },
["render"] = "-9 - (9 \\cdot 9 + 7)",
["typ"] = "minus" },
["render"] = "(-9 - (9 \\cdot 9 + 7))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-9 - (9 \\cdot 9 + 7))",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.24, bodu=10, $$10 + 6 \cdot 8 \cdot -10=\textcolor{white}{-470}$$return {
["body"] = 10,
["id"] = "EJegBJ_0920_2229",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -470,
["jmenovatel"] = 1 },
["render"] = "\\frac{-470}{1}",
["typ"] = "cislo" },
["tex"] = "-470",
["x"] = -470 },
["seed"] = "broNvlVogACBynJJvkZU_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 8 \\cdot -10",
["typ"] = "krat" },
["render"] = "10 + 6 \\cdot 8 \\cdot -10",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.25, bodu=21, $$\frac{6}{12} + (-14 \cdot 12)=\textcolor{white}{-167{,}5}$$return {
["body"] = 21,
["id"] = "abeCej_0920_2229",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -167.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -335,
["jmenovatel"] = 2 },
["render"] = "\\frac{-335}{2}",
["typ"] = "cislo" },
["tex"] = "-167\\frac{1}{2}",
["tex_float"] = "-167{,}5",
["x"] = -167,
["y"] = 1,
["z"] = 2 },
["seed"] = "broNvlVogACBynJJvkZU_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{6}{12} + (-14 \\cdot 12)",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.26, bodu=21, $$\frac{9}{11} \cdot (9 + (-7))=\textcolor{white}{1\frac{7}{11}}$$return {
["body"] = 21,
["id"] = "4gBJD0_0920_2229",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 1.6363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 11 },
["render"] = "\\frac{18}{11}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{11}",
["x"] = 1,
["y"] = 7,
["z"] = 11 },
["seed"] = "broNvlVogACBynJJvkZU_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 + (-7)",
["typ"] = "plus" },
["render"] = "(9 + (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{11} \\cdot (9 + (-7))",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.27, bodu=11, $$-8 - (-8 + (-9)) - 13 \cdot 10=\textcolor{white}{-121}$$return {
["body"] = 11,
["id"] = "ww63rF_0920_2229",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -121,
["jmenovatel"] = 1 },
["render"] = "\\frac{-121}{1}",
["typ"] = "cislo" },
["tex"] = "-121",
["x"] = -121 },
["seed"] = "broNvlVogACBynJJvkZU_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 + (-9)",
["typ"] = "plus" },
["render"] = "(-8 + (-9))",
["typ"] = "zavorka" },
["render"] = "-8 - (-8 + (-9))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 \\cdot 10",
["typ"] = "krat" },
["render"] = "-8 - (-8 + (-9)) - 13 \\cdot 10",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.28, bodu=11, $$-10 \cdot 5 + 5 \cdot 9=\textcolor{white}{-5}$$return {
["body"] = 11,
["id"] = "S6hMrq_0920_2229",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["x"] = -5 },
["seed"] = "broNvlVogACBynJJvkZU_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "-10 \\cdot 5 + 5 \\cdot 9",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.29, bodu=12, $$11 - (14 \cdot (-11 + 9)^4 + 12)=\textcolor{white}{-225}$$return {
["body"] = 12,
["id"] = "axyowi_0920_2229",
["obtiznost"] = 0.2968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 1 },
["render"] = "\\frac{-225}{1}",
["typ"] = "cislo" },
["tex"] = "-225",
["x"] = -225 },
["seed"] = "broNvlVogACBynJJvkZU_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["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"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 9)^4",
["typ"] = "mocnina" },
["render"] = "14 \\cdot (-11 + 9)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 \\cdot (-11 + 9)^4 + 12",
["typ"] = "plus" },
["render"] = "(14 \\cdot (-11 + 9)^4 + 12)",
["typ"] = "zavorka" },
["render"] = "11 - (14 \\cdot (-11 + 9)^4 + 12)",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.3, bodu=86, $$5 + 1\frac{1}{7} - (1\frac{5}{11} - 5) - 2\frac{2}{6}=\textcolor{white}{7\frac{82}{231}}$$return {
["body"] = 86,
["id"] = "Ne66Az_0920_2229",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 7.3549783549784,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1699,
["jmenovatel"] = 231 },
["render"] = "\\frac{1699}{231}",
["typ"] = "cislo" },
["tex"] = "7\\frac{82}{231}",
["x"] = 7,
["y"] = 82,
["z"] = 231 },
["seed"] = "broNvlVogACBynJJvkZU_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 5",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{11} - 5)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{7} - (1\\frac{5}{11} - 5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - (1\\frac{5}{11} - 5) - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "5 + 1\\frac{1}{7} - (1\\frac{5}{11} - 5) - 2\\frac{2}{6}",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.31, bodu=12, $$10 \cdot -6 \cdot 10 - 11=\textcolor{white}{-611}$$return {
["body"] = 12,
["id"] = "vzcvv5_0920_2229",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -611,
["jmenovatel"] = 1 },
["render"] = "\\frac{-611}{1}",
["typ"] = "cislo" },
["tex"] = "-611",
["x"] = -611 },
["seed"] = "broNvlVogACBynJJvkZU_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6 \\cdot 10 - 11",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.32, bodu=64, $$\frac{\frac{3\frac{2}{5}}{7} \cdot 6}{4\frac{4}{9}}=\textcolor{white}{\frac{459}{700}}$$return {
["body"] = 64,
["id"] = "2rqVph_0920_2229",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 0.65571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 459,
["jmenovatel"] = 700 },
["render"] = "\\frac{918}{1400}",
["typ"] = "cislo" },
["tex"] = "\\frac{459}{700}",
["y"] = 459,
["z"] = 700 },
["seed"] = "broNvlVogACBynJJvkZU_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{7} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{5}}{7} \\cdot 6}{4\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.33, bodu=44, $$-9 + \frac{9}{14 + 4 + 4\frac{4}{9}}=\textcolor{white}{-8\frac{121}{202}}$$return {
["body"] = 44,
["id"] = "vgiJCJ_0920_2229",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -8.5990099009901,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1737,
["jmenovatel"] = 202 },
["render"] = "\\frac{-1737}{202}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{121}{202}",
["x"] = -8,
["y"] = 121,
["z"] = 202 },
["seed"] = "broNvlVogACBynJJvkZU_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "14 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "14 + 4 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{9}{14 + 4 + 4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{9}{14 + 4 + 4\\frac{4}{9}}",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.34, bodu=45, $$\frac{2\frac{5}{8} - 9 + (7 - 7)^3}{13}=\textcolor{white}{-\frac{51}{104}}$$return {
["body"] = 45,
["id"] = "2plwcz_0920_2229",
["obtiznost"] = 0.5404,
["reseni"] = {
["float"] = -0.49038461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51,
["jmenovatel"] = 104 },
["render"] = "\\frac{-51}{104}",
["typ"] = "cislo" },
["tex"] = "-\\frac{51}{104}",
["y"] = -51,
["z"] = 104 },
["seed"] = "broNvlVogACBynJJvkZU_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 9",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 7)^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{8} - 9 + (7 - 7)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8} - 9 + (7 - 7)^3}{13}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.35, bodu=46, $$15 \cdot 11 - (13 + 4\frac{5}{9} + 13)=\textcolor{white}{134\frac{4}{9}}$$return {
["body"] = 46,
["id"] = "Yh3Xih_0920_2229",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 134.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1210,
["jmenovatel"] = 9 },
["render"] = "\\frac{1210}{9}",
["typ"] = "cislo" },
["tex"] = "134\\frac{4}{9}",
["x"] = 134,
["y"] = 4,
["z"] = 9 },
["seed"] = "broNvlVogACBynJJvkZU_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 13",
["typ"] = "plus" },
["render"] = "13 + 4\\frac{5}{9} + 13",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{5}{9} + 13)",
["typ"] = "zavorka" },
["render"] = "15 \\cdot 11 - (13 + 4\\frac{5}{9} + 13)",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.36, bodu=31, $$(\frac{9}{9 \cdot -8})^2 - 8=\textcolor{white}{-7\frac{63}{64}}$$return {
["body"] = 31,
["id"] = "OFjEBv_0920_2229",
["obtiznost"] = 0.386,
["reseni"] = {
["float"] = -7.984375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -511,
["jmenovatel"] = 64 },
["render"] = "\\frac{-511}{64}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{63}{64}",
["x"] = -7,
["y"] = 63,
["z"] = 64 },
["seed"] = "broNvlVogACBynJJvkZU_0.36",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{9}{9 \\cdot -8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9 \\cdot -8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{9 \\cdot -8})^2 - 8",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.37, bodu=15, $$8 \cdot 7 \cdot (-7 + (-4))=\textcolor{white}{-616}$$return {
["body"] = 15,
["id"] = "0o9y1d_0920_2229",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -616,
["jmenovatel"] = 1 },
["render"] = "\\frac{-616}{1}",
["typ"] = "cislo" },
["tex"] = "-616",
["x"] = -616 },
["seed"] = "broNvlVogACBynJJvkZU_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-7 + (-4)",
["typ"] = "plus" },
["render"] = "(-7 + (-4))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-7 + (-4))",
["typ"] = "krat" },
["render"] = "8 \\cdot 7 \\cdot (-7 + (-4))",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.38, bodu=71, $$\frac{-3}{3\frac{2}{6}} - \frac{2\frac{2}{3}}{10}=\textcolor{white}{-1\frac{1}{6}}$$return {
["body"] = 71,
["id"] = "7Bsh3y_0920_2229",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -1.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 6 },
["render"] = "\\frac{-175}{150}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{6}",
["x"] = -1,
["y"] = 1,
["z"] = 6 },
["seed"] = "broNvlVogACBynJJvkZU_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{3}}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-3}{3\\frac{2}{6}} - \\frac{2\\frac{2}{3}}{10}",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.39, bodu=16, $$(-4 + 14 - 10 - (14 - 12))^3=\textcolor{white}{-8}$$return {
["body"] = 16,
["id"] = "SJcaqx_0920_2229",
["obtiznost"] = 0.3936,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{1}",
["typ"] = "cislo" },
["tex"] = "-8",
["tex_float"] = "-8",
["x"] = -8 },
["seed"] = "broNvlVogACBynJJvkZU_0.39",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-4 + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 + 14 - 10",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["render"] = "(14 - 12)",
["typ"] = "zavorka" },
["render"] = "-4 + 14 - 10 - (14 - 12)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-4 + 14 - 10 - (14 - 12))^3",
["typ"] = "mocnina" } }
seed: broNvlVogACBynJJvkZU_0.4, bodu=77, $$(10 - (3\frac{1}{6} - 7)^2 + 12) \cdot (6 + 12)=\textcolor{white}{131{,}5}$$return {
["body"] = 77,
["id"] = "ZgCCIX_0920_2229",
["obtiznost"] = 0.826,
["reseni"] = {
["float"] = 131.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 263,
["jmenovatel"] = 2 },
["render"] = "\\frac{4734}{36}",
["typ"] = "cislo" },
["tex"] = "131\\frac{1}{2}",
["tex_float"] = "131{,}5",
["x"] = 131,
["y"] = 1,
["z"] = 2 },
["seed"] = "broNvlVogACBynJJvkZU_0.4",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{6} - 7)^2",
["typ"] = "mocnina" },
["render"] = "10 - (3\\frac{1}{6} - 7)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - (3\\frac{1}{6} - 7)^2 + 12",
["typ"] = "plus" },
["render"] = "(10 - (3\\frac{1}{6} - 7)^2 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 + 12",
["typ"] = "plus" },
["render"] = "(6 + 12)",
["typ"] = "zavorka" },
["render"] = "(10 - (3\\frac{1}{6} - 7)^2 + 12) \\cdot (6 + 12)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.41, bodu=101, $$\frac{12}{\frac{4\frac{2}{6} \cdot 1\frac{1}{6}}{6 - 1\frac{1}{5}}}=\textcolor{white}{11\frac{179}{455}}$$return {
["body"] = 101,
["id"] = "CnqwZ5_0920_2229",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 11.393406593407,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5184,
["jmenovatel"] = 455 },
["render"] = "\\frac{5184}{455}",
["typ"] = "cislo" },
["tex"] = "11\\frac{179}{455}",
["x"] = 11,
["y"] = 179,
["z"] = 455 },
["seed"] = "broNvlVogACBynJJvkZU_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "6 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{6} \\cdot 1\\frac{1}{6}}{6 - 1\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{4\\frac{2}{6} \\cdot 1\\frac{1}{6}}{6 - 1\\frac{1}{5}}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.42, bodu=53, $$(13 + 11) \cdot (3\frac{4}{9} + 11 \cdot 5 - 8)=\textcolor{white}{1210\frac{2}{3}}$$return {
["body"] = 53,
["id"] = "mGKQlL_0920_2229",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 1210.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3632,
["jmenovatel"] = 3 },
["render"] = "\\frac{10896}{9}",
["typ"] = "cislo" },
["tex"] = "1210\\frac{2}{3}",
["x"] = 1210,
["y"] = 2,
["z"] = 3 },
["seed"] = "broNvlVogACBynJJvkZU_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 + 11",
["typ"] = "plus" },
["render"] = "(13 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5 - 8",
["typ"] = "minus" },
["render"] = "3\\frac{4}{9} + 11 \\cdot 5 - 8",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{9} + 11 \\cdot 5 - 8)",
["typ"] = "zavorka" },
["render"] = "(13 + 11) \\cdot (3\\frac{4}{9} + 11 \\cdot 5 - 8)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.43, bodu=47, $$6 \cdot (\frac{6}{11} + (11 - (-7))^2)=\textcolor{white}{1947\frac{3}{11}}$$return {
["body"] = 47,
["id"] = "TR2z9V_0920_2229",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 1947.2727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21420,
["jmenovatel"] = 11 },
["render"] = "\\frac{21420}{11}",
["typ"] = "cislo" },
["tex"] = "1947\\frac{3}{11}",
["x"] = 1947,
["y"] = 3,
["z"] = 11 },
["seed"] = "broNvlVogACBynJJvkZU_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{6}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-7))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{11} + (11 - (-7))^2",
["typ"] = "plus" },
["render"] = "(\\frac{6}{11} + (11 - (-7))^2)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (\\frac{6}{11} + (11 - (-7))^2)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.44, bodu=36, $$\frac{12 \cdot 8}{11 \cdot 5}=\textcolor{white}{1\frac{41}{55}}$$return {
["body"] = 36,
["id"] = "Og6tp6_0920_2229",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 1.7454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 55 },
["render"] = "\\frac{96}{55}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{55}",
["x"] = 1,
["y"] = 41,
["z"] = 55 },
["seed"] = "broNvlVogACBynJJvkZU_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{12 \\cdot 8}{11 \\cdot 5}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.45, bodu=37, $$\frac{7}{-13 - 12 - (-13 + 8)}=\textcolor{white}{-0{,}35}$$return {
["body"] = 37,
["id"] = "hMbFi1_0920_2229",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -0.35,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 20 },
["render"] = "\\frac{7}{-20}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{20}",
["tex_float"] = "-0{,}35",
["y"] = -7,
["z"] = 20 },
["seed"] = "broNvlVogACBynJJvkZU_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 + 8",
["typ"] = "plus" },
["render"] = "(-13 + 8)",
["typ"] = "zavorka" },
["render"] = "-13 - 12 - (-13 + 8)",
["typ"] = "minus" },
["render"] = "\\frac{7}{-13 - 12 - (-13 + 8)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.46, bodu=47, $$(-12 - (-8))^4 + \frac{-9 \cdot -12}{10}=\textcolor{white}{266{,}8}$$return {
["body"] = 47,
["id"] = "uatmiL_0920_2229",
["obtiznost"] = 0.5628,
["reseni"] = {
["float"] = 266.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1334,
["jmenovatel"] = 5 },
["render"] = "\\frac{1334}{5}",
["typ"] = "cislo" },
["tex"] = "266\\frac{4}{5}",
["tex_float"] = "266{,}8",
["x"] = 266,
["y"] = 4,
["z"] = 5 },
["seed"] = "broNvlVogACBynJJvkZU_0.46",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-12 - (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot -12}{10}",
["typ"] = "lomeno" },
["render"] = "(-12 - (-8))^4 + \\frac{-9 \\cdot -12}{10}",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.47, bodu=59, $$\frac{7}{-9 \cdot (1\frac{2}{3} - 10 \cdot -12)}=\textcolor{white}{-\frac{7}{1095}}$$return {
["body"] = 59,
["id"] = "NJsCOy_0920_2229",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -0.0063926940639269,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1095 },
["render"] = "\\frac{7}{-1095}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{1095}",
["y"] = -7,
["z"] = 1095 },
["seed"] = "broNvlVogACBynJJvkZU_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["render"] = "1\\frac{2}{3} - 10 \\cdot -12",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{3} - 10 \\cdot -12)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (1\\frac{2}{3} - 10 \\cdot -12)",
["typ"] = "krat" },
["render"] = "\\frac{7}{-9 \\cdot (1\\frac{2}{3} - 10 \\cdot -12)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.48, bodu=90, $$4\frac{1}{6} \cdot (3\frac{2}{4} \cdot (4 - 9)^3 + 13)=\textcolor{white}{-1768{,}75}$$return {
["body"] = 90,
["id"] = "IK6cKS_0920_2229",
["obtiznost"] = 0.9304,
["reseni"] = {
["float"] = -1768.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7075,
["jmenovatel"] = 4 },
["render"] = "\\frac{-21225}{12}",
["typ"] = "cislo" },
["tex"] = "-1768\\frac{3}{4}",
["tex_float"] = "-1768{,}75",
["x"] = -1768,
["y"] = 3,
["z"] = 4 },
["seed"] = "broNvlVogACBynJJvkZU_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(4 - 9)^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{4} \\cdot (4 - 9)^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} \\cdot (4 - 9)^3 + 13",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{4} \\cdot (4 - 9)^3 + 13)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{6} \\cdot (3\\frac{2}{4} \\cdot (4 - 9)^3 + 13)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.49, bodu=61, $$-7 \cdot -8 + 4\frac{5}{8} + (-5) + 8 + 11=\textcolor{white}{74{,}625}$$return {
["body"] = 61,
["id"] = "eR8SJ4_0920_2229",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 74.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 597,
["jmenovatel"] = 8 },
["render"] = "\\frac{597}{8}",
["typ"] = "cislo" },
["tex"] = "74\\frac{5}{8}",
["tex_float"] = "74{,}625",
["x"] = 74,
["y"] = 5,
["z"] = 8 },
["seed"] = "broNvlVogACBynJJvkZU_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + (-5)",
["typ"] = "plus" },
["render"] = "-7 \\cdot -8 + 4\\frac{5}{8} + (-5)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 + 11",
["typ"] = "plus" },
["render"] = "-7 \\cdot -8 + 4\\frac{5}{8} + (-5) + 8 + 11",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.5, bodu=41, $$\frac{\frac{-8}{16}}{\frac{8}{5}}=\textcolor{white}{-\frac{5}{16}}$$return {
["body"] = 41,
["id"] = "Ur2UBS_0920_2229",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -0.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 16 },
["render"] = "\\frac{-5}{16}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{16}",
["y"] = -5,
["z"] = 16 },
["seed"] = "broNvlVogACBynJJvkZU_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{16}",
["typ"] = "lomeno" },
["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"] = "\\frac{\\frac{-8}{16}}{\\frac{8}{5}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.51, bodu=42, $$(4 + (-11)) \cdot (\frac{8 + (-10)}{-2})^2=\textcolor{white}{-7}$$return {
["body"] = 42,
["id"] = "3VcrEC_0920_2229",
["obtiznost"] = 0.5108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-7}{1}",
["typ"] = "cislo" },
["tex"] = "-7",
["tex_float"] = "-7",
["x"] = -7 },
["seed"] = "broNvlVogACBynJJvkZU_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 + (-11)",
["typ"] = "plus" },
["render"] = "(4 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{8 + (-10)}{-2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 + (-10)}{-2})^2",
["typ"] = "mocnina" },
["render"] = "(4 + (-11)) \\cdot (\\frac{8 + (-10)}{-2})^2",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.52, bodu=64, $$-10 - \frac{1\frac{4}{7}}{12} - 15 - 15=\textcolor{white}{-40\frac{11}{84}}$$return {
["body"] = 64,
["id"] = "W4eKzs_0920_2229",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -40.130952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3371,
["jmenovatel"] = 84 },
["render"] = "\\frac{-3371}{84}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{11}{84}",
["x"] = -40,
["y"] = 11,
["z"] = 84 },
["seed"] = "broNvlVogACBynJJvkZU_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{12}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{1\\frac{4}{7}}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-10 - \\frac{1\\frac{4}{7}}{12} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-10 - \\frac{1\\frac{4}{7}}{12} - 15 - 15",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.53, bodu=44, $$\frac{-3}{\frac{12}{-11} - (-9 \cdot 6)}=\textcolor{white}{-\frac{11}{194}}$$return {
["body"] = 44,
["id"] = "yBsSbH_0920_2229",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -0.056701030927835,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 194 },
["render"] = "\\frac{-33}{582}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{194}",
["y"] = -11,
["z"] = 194 },
["seed"] = "broNvlVogACBynJJvkZU_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{12}{-11} - (-9 \\cdot 6)",
["typ"] = "minus" },
["render"] = "\\frac{-3}{\\frac{12}{-11} - (-9 \\cdot 6)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.54, bodu=136, $$2\frac{1}{3} - ((9 + 8)^2 + (3\frac{3}{8} - 16) \cdot 1\frac{2}{5})=\textcolor{white}{-268\frac{119}{120}}$$return {
["body"] = 136,
["id"] = "l4pfws_0920_2229",
["obtiznost"] = 1.256,
["reseni"] = {
["float"] = -268.99166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32279,
["jmenovatel"] = 120 },
["render"] = "\\frac{-32279}{120}",
["typ"] = "cislo" },
["tex"] = "-268\\frac{119}{120}",
["x"] = -268,
["y"] = 119,
["z"] = 120 },
["seed"] = "broNvlVogACBynJJvkZU_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 16",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} - 16) \\cdot 1\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "(9 + 8)^2 + (3\\frac{3}{8} - 16) \\cdot 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "((9 + 8)^2 + (3\\frac{3}{8} - 16) \\cdot 1\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{3} - ((9 + 8)^2 + (3\\frac{3}{8} - 16) \\cdot 1\\frac{2}{5})",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.55, bodu=68, $$\frac{9 \cdot -13}{4 \cdot 1\frac{4}{9}}=\textcolor{white}{-20{,}25}$$return {
["body"] = 68,
["id"] = "fUiXOT_0920_2229",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -20.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 4 },
["render"] = "\\frac{-1053}{52}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{1}{4}",
["tex_float"] = "-20{,}25",
["x"] = -20,
["y"] = 1,
["z"] = 4 },
["seed"] = "broNvlVogACBynJJvkZU_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{9 \\cdot -13}{4 \\cdot 1\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.56, bodu=69, $$\frac{1\frac{5}{10}}{9 + 9} \cdot (-7 - 13)=\textcolor{white}{-1\frac{2}{3}}$$return {
["body"] = 69,
["id"] = "oOdVlw_0920_2229",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -1.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 3 },
["render"] = "\\frac{-20}{12}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{3}",
["x"] = -1,
["y"] = 2,
["z"] = 3 },
["seed"] = "broNvlVogACBynJJvkZU_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{1\\frac{5}{10}}{9 + 9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-7 - 13",
["typ"] = "minus" },
["render"] = "(-7 - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{5}{10}}{9 + 9} \\cdot (-7 - 13)",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.57, bodu=70, $$3\frac{5}{9} - \frac{\frac{11}{-16}}{-9 + (-12)}=\textcolor{white}{3\frac{527}{1008}}$$return {
["body"] = 70,
["id"] = "rRqgku_0920_2229",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 3.5228174603175,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3551,
["jmenovatel"] = 1008 },
["render"] = "\\frac{10653}{3024}",
["typ"] = "cislo" },
["tex"] = "3\\frac{527}{1008}",
["x"] = 3,
["y"] = 527,
["z"] = 1008 },
["seed"] = "broNvlVogACBynJJvkZU_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-9 + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{11}{-16}}{-9 + (-12)}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{9} - \\frac{\\frac{11}{-16}}{-9 + (-12)}",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.58, bodu=24, $$-9 \cdot -11 - (-14 - 10 \cdot 13)=\textcolor{white}{243}$$return {
["body"] = 24,
["id"] = "Gvwyz8_0920_2229",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 1 },
["render"] = "\\frac{243}{1}",
["typ"] = "cislo" },
["tex"] = "243",
["tex_float"] = "243",
["x"] = 243 },
["seed"] = "broNvlVogACBynJJvkZU_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "10 \\cdot 13",
["typ"] = "krat" },
["render"] = "-14 - 10 \\cdot 13",
["typ"] = "minus" },
["render"] = "(-14 - 10 \\cdot 13)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot -11 - (-14 - 10 \\cdot 13)",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.59, bodu=50, $$\frac{12 - (-14)}{8} \cdot 11 - 4=\textcolor{white}{31{,}75}$$return {
["body"] = 50,
["id"] = "ludKC9_0920_2229",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 31.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127,
["jmenovatel"] = 4 },
["render"] = "\\frac{127}{4}",
["typ"] = "cislo" },
["tex"] = "31\\frac{3}{4}",
["tex_float"] = "31{,}75",
["x"] = 31,
["y"] = 3,
["z"] = 4 },
["seed"] = "broNvlVogACBynJJvkZU_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "12 - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-14)}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-14)}{8} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-14)}{8} \\cdot 11 - 4",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.6, bodu=100, $$9 + (-9 \cdot 1\frac{3}{7} - 4\frac{4}{9} + (-8) - (-5))=\textcolor{white}{-11\frac{19}{63}}$$return {
["body"] = 100,
["id"] = "lXgbEH_0920_2229",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -11.301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -712,
["jmenovatel"] = 63 },
["render"] = "\\frac{-712}{63}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{19}{63}",
["x"] = -11,
["y"] = 19,
["z"] = 63 },
["seed"] = "broNvlVogACBynJJvkZU_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{7} - 4\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{7} - 4\\frac{4}{9} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{3}{7} - 4\\frac{4}{9} + (-8) - (-5)",
["typ"] = "minus" },
["render"] = "9 + (-9 \\cdot 1\\frac{3}{7} - 4\\frac{4}{9} + (-8) - (-5))",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.61, bodu=93, $$-4 \cdot (3 \cdot 4\frac{4}{9} - (10 + 9)^2) + 5=\textcolor{white}{1395\frac{2}{3}}$$return {
["body"] = 93,
["id"] = "O4qfng_0920_2229",
["obtiznost"] = 0.9548,
["reseni"] = {
["float"] = 1395.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4187,
["jmenovatel"] = 3 },
["render"] = "\\frac{4187}{3}",
["typ"] = "cislo" },
["tex"] = "1395\\frac{2}{3}",
["x"] = 1395,
["y"] = 2,
["z"] = 3 },
["seed"] = "broNvlVogACBynJJvkZU_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 9)^2",
["typ"] = "mocnina" },
["render"] = "3 \\cdot 4\\frac{4}{9} - (10 + 9)^2",
["typ"] = "minus" },
["render"] = "(3 \\cdot 4\\frac{4}{9} - (10 + 9)^2)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (3 \\cdot 4\\frac{4}{9} - (10 + 9)^2)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 \\cdot (3 \\cdot 4\\frac{4}{9} - (10 + 9)^2) + 5",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.62, bodu=131, $$-10 - 3\frac{5}{8} - (6 + 3\frac{4}{12} + 11) \cdot 4\frac{4}{9}=\textcolor{white}{-103\frac{215}{216}}$$return {
["body"] = 131,
["id"] = "4pSJzM_0920_2229",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -103.99537037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22463,
["jmenovatel"] = 216 },
["render"] = "\\frac{-22463}{216}",
["typ"] = "cislo" },
["tex"] = "-103\\frac{215}{216}",
["x"] = -103,
["y"] = 215,
["z"] = 216 },
["seed"] = "broNvlVogACBynJJvkZU_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 3\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{4}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{4}{12} + 11",
["typ"] = "plus" },
["render"] = "(6 + 3\\frac{4}{12} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(6 + 3\\frac{4}{12} + 11) \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "-10 - 3\\frac{5}{8} - (6 + 3\\frac{4}{12} + 11) \\cdot 4\\frac{4}{9}",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.63, bodu=104, $$\frac{1\frac{2}{2}}{\frac{-6 + 3\frac{1}{6}}{\frac{10}{3\frac{2}{10}}}}=\textcolor{white}{-2\frac{7}{34}}$$return {
["body"] = 104,
["id"] = "HlMBJg_0920_2229",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -2.2058823529412,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 34 },
["render"] = "\\frac{150}{-68}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{7}{34}",
["x"] = -2,
["y"] = 7,
["z"] = 34 },
["seed"] = "broNvlVogACBynJJvkZU_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-6 + 3\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6 + 3\\frac{1}{6}}{\\frac{10}{3\\frac{2}{10}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{2}}{\\frac{-6 + 3\\frac{1}{6}}{\\frac{10}{3\\frac{2}{10}}}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.64, bodu=48, $$(-19 - (-16)) \cdot -19 - (-16 - (-10 - 19)^2)=\textcolor{white}{914}$$return {
["body"] = 48,
["id"] = "gItYF0_0920_2229",
["obtiznost"] = 0.9768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 914,
["jmenovatel"] = 1 },
["render"] = "\\frac{914}{1}",
["typ"] = "cislo" },
["tex"] = "914",
["x"] = 914 },
["seed"] = "broNvlVogACBynJJvkZU_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-19 - (-16)",
["typ"] = "minus" },
["render"] = "(-19 - (-16))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(-19 - (-16)) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-10 - 19",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - 19)^2",
["typ"] = "mocnina" },
["render"] = "-16 - (-10 - 19)^2",
["typ"] = "minus" },
["render"] = "(-16 - (-10 - 19)^2)",
["typ"] = "zavorka" },
["render"] = "(-19 - (-16)) \\cdot -19 - (-16 - (-10 - 19)^2)",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.65, bodu=80, $$11 + 4\frac{4}{5} + \frac{-7}{-7 \cdot 10} + 8=\textcolor{white}{23{,}9}$$return {
["body"] = 80,
["id"] = "yFb71Q_0920_2229",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 23.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 239,
["jmenovatel"] = 10 },
["render"] = "\\frac{239}{10}",
["typ"] = "cislo" },
["tex"] = "23\\frac{9}{10}",
["tex_float"] = "23{,}9",
["x"] = 23,
["y"] = 9,
["z"] = 10 },
["seed"] = "broNvlVogACBynJJvkZU_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{4}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{-7}{-7 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "11 + 4\\frac{4}{5} + \\frac{-7}{-7 \\cdot 10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{4}{5} + \\frac{-7}{-7 \\cdot 10} + 8",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.66, bodu=108, $$4\frac{1}{7} - 10 \cdot -12 - 7 \cdot (1\frac{2}{7} + (-9))=\textcolor{white}{178\frac{1}{7}}$$return {
["body"] = 108,
["id"] = "cvnKnV_0920_2229",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 178.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1247,
["jmenovatel"] = 7 },
["render"] = "\\frac{1247}{7}",
["typ"] = "cislo" },
["tex"] = "178\\frac{1}{7}",
["x"] = 178,
["y"] = 1,
["z"] = 7 },
["seed"] = "broNvlVogACBynJJvkZU_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["render"] = "4\\frac{1}{7} - 10 \\cdot -12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + (-9)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + (-9))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (1\\frac{2}{7} + (-9))",
["typ"] = "krat" },
["render"] = "4\\frac{1}{7} - 10 \\cdot -12 - 7 \\cdot (1\\frac{2}{7} + (-9))",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.67, bodu=138, $$13 \cdot (4\frac{1}{5} - 18) - (-13 + 2\frac{3}{11}) - 4\frac{1}{7}=\textcolor{white}{-172\frac{314}{385}}$$return {
["body"] = 138,
["id"] = "CJ7qeL_0920_2229",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -172.81558441558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -66534,
["jmenovatel"] = 385 },
["render"] = "\\frac{-66534}{385}",
["typ"] = "cislo" },
["tex"] = "-172\\frac{314}{385}",
["x"] = -172,
["y"] = 314,
["z"] = 385 },
["seed"] = "broNvlVogACBynJJvkZU_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - 18",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{5} - 18)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{1}{5} - 18)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{1}{5} - 18) - (-13 + 2\\frac{3}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot (4\\frac{1}{5} - 18) - (-13 + 2\\frac{3}{11}) - 4\\frac{1}{7}",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.68, bodu=84, $$\frac{18 + (-17) + (-15)}{-15 \cdot 18 \cdot 3\frac{1}{10}}=\textcolor{white}{\frac{14}{837}}$$return {
["body"] = 84,
["id"] = "SNqhsI_0920_2229",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 0.016726403823178,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 837 },
["render"] = "\\frac{-14}{-837}",
["typ"] = "cislo" },
["tex"] = "\\frac{14}{837}",
["y"] = 14,
["z"] = 837 },
["seed"] = "broNvlVogACBynJJvkZU_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "18 + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "18 + (-17) + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 18 \\cdot 3\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "\\frac{18 + (-17) + (-15)}{-15 \\cdot 18 \\cdot 3\\frac{1}{10}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.69, bodu=61, $$-9 + (-14 \cdot -4) - (\frac{-11}{-12} - (-18))=\textcolor{white}{28\frac{1}{12}}$$return {
["body"] = 61,
["id"] = "cufW0s_0920_2229",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 28.083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 337,
["jmenovatel"] = 12 },
["render"] = "\\frac{337}{12}",
["typ"] = "cislo" },
["tex"] = "28\\frac{1}{12}",
["x"] = 28,
["y"] = 1,
["z"] = 12 },
["seed"] = "broNvlVogACBynJJvkZU_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -4",
["typ"] = "krat" },
["render"] = "-9 + (-14 \\cdot -4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-12} - (-18)",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{-12} - (-18))",
["typ"] = "zavorka" },
["render"] = "-9 + (-14 \\cdot -4) - (\\frac{-11}{-12} - (-18))",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.7, bodu=113, $$\frac{1\frac{1}{6} - (-15) + \frac{20}{7} \cdot 21}{3\frac{5}{7}}=\textcolor{white}{20\frac{79}{156}}$$return {
["body"] = 113,
["id"] = "SA30ID_0920_2229",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 20.50641025641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3199,
["jmenovatel"] = 156 },
["render"] = "\\frac{3199}{156}",
["typ"] = "cislo" },
["tex"] = "20\\frac{79}{156}",
["x"] = 20,
["y"] = 79,
["z"] = 156 },
["seed"] = "broNvlVogACBynJJvkZU_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{20}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{20}{7} \\cdot 21",
["typ"] = "krat" },
["render"] = "1\\frac{1}{6} - (-15) + \\frac{20}{7} \\cdot 21",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6} - (-15) + \\frac{20}{7} \\cdot 21}{3\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.71, bodu=88, $$-11 \cdot (11 - (14 - (-18))) \cdot (4\frac{2}{5} + (-17))=\textcolor{white}{-2910{,}6}$$return {
["body"] = 88,
["id"] = "l1kn7I_0920_2229",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -2910.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14553,
["jmenovatel"] = 5 },
["render"] = "\\frac{-14553}{5}",
["typ"] = "cislo" },
["tex"] = "-2910\\frac{3}{5}",
["tex_float"] = "-2910{,}6",
["x"] = -2910,
["y"] = 3,
["z"] = 5 },
["seed"] = "broNvlVogACBynJJvkZU_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "14 - (-18)",
["typ"] = "minus" },
["render"] = "(14 - (-18))",
["typ"] = "zavorka" },
["render"] = "11 - (14 - (-18))",
["typ"] = "minus" },
["render"] = "(11 - (14 - (-18)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + (-17)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{5} + (-17))",
["typ"] = "zavorka" },
["render"] = "(11 - (14 - (-18))) \\cdot (4\\frac{2}{5} + (-17))",
["typ"] = "krat" },
["render"] = "-11 \\cdot (11 - (14 - (-18))) \\cdot (4\\frac{2}{5} + (-17))",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.72, bodu=156, $$\frac{\frac{4\frac{2}{10}}{1\frac{3}{3} - 1\frac{1}{5}}}{(\frac{15}{-9})^3 + 2\frac{1}{3}}=\textcolor{white}{-2\frac{71}{248}}$$return {
["body"] = 156,
["id"] = "XU7rmW_0920_2229",
["obtiznost"] = 1.3808,
["reseni"] = {
["float"] = -2.2862903225806,
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 248 },
["render"] = "\\frac{567}{-248}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{71}{248}",
["x"] = -2,
["y"] = 71,
["z"] = 248 },
["seed"] = "broNvlVogACBynJJvkZU_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{3}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{3} - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{10}}{1\\frac{3}{3} - 1\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{15}{-9})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{-9})^3 + 2\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{2}{10}}{1\\frac{3}{3} - 1\\frac{1}{5}}}{(\\frac{15}{-9})^3 + 2\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.73, bodu=97, $$\frac{-14 \cdot (\frac{(15 + (-13))^2}{20})^4}{-17}=\textcolor{white}{\frac{14}{10625}}$$return {
["body"] = 97,
["id"] = "xmt090_0920_2229",
["obtiznost"] = 0.9824,
["reseni"] = {
["float"] = 0.0013176470588235,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 10625 },
["render"] = "\\frac{-14}{-10625}",
["typ"] = "cislo" },
["tex"] = "\\frac{14}{10625}",
["y"] = 14,
["z"] = 10625 },
["seed"] = "broNvlVogACBynJJvkZU_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{(15 + (-13))^2}{20}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(15 + (-13))^2}{20})^4",
["typ"] = "mocnina" },
["render"] = "-14 \\cdot (\\frac{(15 + (-13))^2}{20})^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot (\\frac{(15 + (-13))^2}{20})^4}{-17}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.74, bodu=149, $$11 \cdot (\frac{2\frac{5}{9}}{-12} \cdot 3\frac{4}{10} - (14 + 1\frac{1}{2}))=\textcolor{white}{-178\frac{251}{540}}$$return {
["body"] = 149,
["id"] = "AsZVYF_0920_2229",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -178.46481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -96371,
["jmenovatel"] = 540 },
["render"] = "\\frac{-96371}{540}",
["typ"] = "cislo" },
["tex"] = "-178\\frac{251}{540}",
["x"] = -178,
["y"] = 251,
["z"] = 540 },
["seed"] = "broNvlVogACBynJJvkZU_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-12} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{9}}{-12} \\cdot 3\\frac{4}{10} - (14 + 1\\frac{1}{2})",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{5}{9}}{-12} \\cdot 3\\frac{4}{10} - (14 + 1\\frac{1}{2}))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (\\frac{2\\frac{5}{9}}{-12} \\cdot 3\\frac{4}{10} - (14 + 1\\frac{1}{2}))",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.75, bodu=93, $$\frac{\frac{4 + 7}{13 \cdot 3\frac{2}{8}}}{-10}=\textcolor{white}{-\frac{22}{845}}$$return {
["body"] = 93,
["id"] = "GY2Mla_0920_2229",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -0.02603550295858,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 845 },
["render"] = "\\frac{44}{-1690}",
["typ"] = "cislo" },
["tex"] = "-\\frac{22}{845}",
["y"] = -22,
["z"] = 845 },
["seed"] = "broNvlVogACBynJJvkZU_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4 + 7}{13 \\cdot 3\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4 + 7}{13 \\cdot 3\\frac{2}{8}}}{-10}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.76, bodu=152, $$9 + 18 - 3\frac{3}{8} + 8 - \frac{2\frac{2}{9}}{3\frac{2}{4}}=\textcolor{white}{30\frac{499}{504}}$$return {
["body"] = 152,
["id"] = "RgsXt1_0920_2229",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 30.990079365079,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15619,
["jmenovatel"] = 504 },
["render"] = "\\frac{15619}{504}",
["typ"] = "cislo" },
["tex"] = "30\\frac{499}{504}",
["x"] = 30,
["y"] = 499,
["z"] = 504 },
["seed"] = "broNvlVogACBynJJvkZU_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "9 + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "9 + 18 - 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{3\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{2\\frac{2}{9}}{3\\frac{2}{4}}",
["typ"] = "minus" },
["render"] = "9 + 18 - 3\\frac{3}{8} + 8 - \\frac{2\\frac{2}{9}}{3\\frac{2}{4}}",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.77, bodu=154, $$\frac{2\frac{1}{3}}{4\frac{4}{11}} \cdot (5 \cdot 2\frac{2}{2} + 4\frac{4}{8})=\textcolor{white}{10\frac{41}{96}}$$return {
["body"] = 154,
["id"] = "SJzdU4_0920_2229",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 10.427083333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1001,
["jmenovatel"] = 96 },
["render"] = "\\frac{3003}{288}",
["typ"] = "cislo" },
["tex"] = "10\\frac{41}{96}",
["x"] = 10,
["y"] = 41,
["z"] = 96 },
["seed"] = "broNvlVogACBynJJvkZU_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{3}}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{2}{2}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{2}{2} + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(5 \\cdot 2\\frac{2}{2} + 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{3}}{4\\frac{4}{11}} \\cdot (5 \\cdot 2\\frac{2}{2} + 4\\frac{4}{8})",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.78, bodu=127, $$((3\frac{1}{5} - (-7 - \frac{-13}{2\frac{4}{8}}))^2 - (14 + 7))^2=\textcolor{white}{16}$$return {
["body"] = 127,
["id"] = "GjY56K_0920_2229",
["obtiznost"] = 1.1972,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["x"] = 16 },
["seed"] = "broNvlVogACBynJJvkZU_0.78",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "-7 - \\frac{-13}{2\\frac{4}{8}}",
["typ"] = "minus" },
["render"] = "(-7 - \\frac{-13}{2\\frac{4}{8}})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} - (-7 - \\frac{-13}{2\\frac{4}{8}})",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{5} - (-7 - \\frac{-13}{2\\frac{4}{8}}))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 + 7",
["typ"] = "plus" },
["render"] = "(14 + 7)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{1}{5} - (-7 - \\frac{-13}{2\\frac{4}{8}}))^2 - (14 + 7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((3\\frac{1}{5} - (-7 - \\frac{-13}{2\\frac{4}{8}}))^2 - (14 + 7))^2",
["typ"] = "mocnina" } }
seed: broNvlVogACBynJJvkZU_0.79, bodu=199, $$\frac{(-11 - (-16))^4}{1\frac{4}{7} - \frac{4\frac{1}{9}}{2\frac{3}{7}}}=\textcolor{white}{-5149\frac{1}{26}}$$return {
["body"] = 199,
["id"] = "mLiqzT_0920_2229",
["obtiznost"] = 1.6404,
["reseni"] = {
["float"] = -5149.0384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -133875,
["jmenovatel"] = 26 },
["render"] = "\\frac{669375}{-130}",
["typ"] = "cislo" },
["tex"] = "-5149\\frac{1}{26}",
["x"] = -5149,
["y"] = 1,
["z"] = 26 },
["seed"] = "broNvlVogACBynJJvkZU_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-11 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-11 - (-16))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{7} - \\frac{4\\frac{1}{9}}{2\\frac{3}{7}}",
["typ"] = "minus" },
["render"] = "\\frac{(-11 - (-16))^4}{1\\frac{4}{7} - \\frac{4\\frac{1}{9}}{2\\frac{3}{7}}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.8, bodu=128, $$\frac{-9 + 10}{4\frac{5}{13} + 1\frac{5}{8} - 20 - (-17 \cdot -14)}=\textcolor{white}{-\frac{104}{26207}}$$return {
["body"] = 128,
["id"] = "3jftVF_0920_2229",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -0.0039684053878735,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 26207 },
["render"] = "\\frac{104}{-26207}",
["typ"] = "cislo" },
["tex"] = "-\\frac{104}{26207}",
["y"] = -104,
["z"] = 26207 },
["seed"] = "broNvlVogACBynJJvkZU_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + 1\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + 1\\frac{5}{8} - 20",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -14",
["typ"] = "krat" },
["render"] = "4\\frac{5}{13} + 1\\frac{5}{8} - 20 - (-17 \\cdot -14)",
["typ"] = "minus" },
["render"] = "\\frac{-9 + 10}{4\\frac{5}{13} + 1\\frac{5}{8} - 20 - (-17 \\cdot -14)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.81, bodu=211, $$\frac{3\frac{3}{11}}{\frac{(\frac{-18}{4\frac{4}{8}})^4}{\frac{4\frac{5}{12}}{4\frac{1}{4}}}}=\textcolor{white}{\frac{159}{11968}}$$return {
["body"] = 211,
["id"] = "PQJy2N_0920_2229",
["obtiznost"] = 1.7128,
["reseni"] = {
["float"] = 0.013285427807487,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 11968 },
["render"] = "\\frac{1908}{143616}",
["typ"] = "cislo" },
["tex"] = "\\frac{159}{11968}",
["y"] = 159,
["z"] = 11968 },
["seed"] = "broNvlVogACBynJJvkZU_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-18}{4\\frac{4}{8}})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{4\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{-18}{4\\frac{4}{8}})^4}{\\frac{4\\frac{5}{12}}{4\\frac{1}{4}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{11}}{\\frac{(\\frac{-18}{4\\frac{4}{8}})^4}{\\frac{4\\frac{5}{12}}{4\\frac{1}{4}}}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.82, bodu=131, $$1\frac{2}{5} \cdot (\frac{-12}{2\frac{4}{12}} - (-15)) \cdot \frac{-12}{-6}=\textcolor{white}{27{,}6}$$return {
["body"] = 131,
["id"] = "q59XbL_0920_2229",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 27.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 138,
["jmenovatel"] = 5 },
["render"] = "\\frac{138}{5}",
["typ"] = "cislo" },
["tex"] = "27\\frac{3}{5}",
["tex_float"] = "27{,}6",
["x"] = 27,
["y"] = 3,
["z"] = 5 },
["seed"] = "broNvlVogACBynJJvkZU_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{4}{12}} - (-15)",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{2\\frac{4}{12}} - (-15))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{5} \\cdot (\\frac{-12}{2\\frac{4}{12}} - (-15))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-6}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{5} \\cdot (\\frac{-12}{2\\frac{4}{12}} - (-15)) \\cdot \\frac{-12}{-6}",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.83, bodu=197, $$\frac{4\frac{4}{7}}{1\frac{2}{8}} \cdot (\frac{-19}{1\frac{1}{7}} + (-14)) \cdot 3\frac{5}{11}=\textcolor{white}{-386\frac{10}{11}}$$return {
["body"] = 197,
["id"] = "Gi1bdA_0920_2229",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = -386.90909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4256,
["jmenovatel"] = 11 },
["render"] = "\\frac{-4256}{11}",
["typ"] = "cislo" },
["tex"] = "-386\\frac{10}{11}",
["x"] = -386,
["y"] = 10,
["z"] = 11 },
["seed"] = "broNvlVogACBynJJvkZU_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{1\\frac{1}{7}} + (-14)",
["typ"] = "plus" },
["render"] = "(\\frac{-19}{1\\frac{1}{7}} + (-14))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{4}{7}}{1\\frac{2}{8}} \\cdot (\\frac{-19}{1\\frac{1}{7}} + (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{1\\frac{2}{8}} \\cdot (\\frac{-19}{1\\frac{1}{7}} + (-14)) \\cdot 3\\frac{5}{11}",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.84, bodu=227, $$(8 - 2\frac{2}{9} + 3\frac{3}{9} - 2\frac{3}{9} + 4\frac{3}{12}) \cdot (-7 + (-13))^2=\textcolor{white}{4411\frac{1}{9}}$$return {
["body"] = 227,
["id"] = "kdXgyl_0920_2229",
["obtiznost"] = 1.8004,
["reseni"] = {
["float"] = 4411.1111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39700,
["jmenovatel"] = 9 },
["render"] = "\\frac{158800}{36}",
["typ"] = "cislo" },
["tex"] = "4411\\frac{1}{9}",
["x"] = 4411,
["y"] = 1,
["z"] = 9 },
["seed"] = "broNvlVogACBynJJvkZU_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 2\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "8 - 2\\frac{2}{9} + 3\\frac{3}{9} - 2\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{2}{9} + 3\\frac{3}{9} - 2\\frac{3}{9} + 4\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "(8 - 2\\frac{2}{9} + 3\\frac{3}{9} - 2\\frac{3}{9} + 4\\frac{3}{12})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-7 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "(8 - 2\\frac{2}{9} + 3\\frac{3}{9} - 2\\frac{3}{9} + 4\\frac{3}{12}) \\cdot (-7 + (-13))^2",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.85, bodu=106, $$\frac{-20 \cdot 4\frac{5}{14} \cdot -9 - (10 + 22)}{-18}=\textcolor{white}{-41\frac{50}{63}}$$return {
["body"] = 106,
["id"] = "Dxbf4r_0920_2229",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -41.793650793651,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2633,
["jmenovatel"] = 63 },
["render"] = "\\frac{5266}{-126}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{50}{63}",
["x"] = -41,
["y"] = 50,
["z"] = 63 },
["seed"] = "broNvlVogACBynJJvkZU_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} \\cdot -9",
["typ"] = "krat" },
["render"] = "-20 \\cdot 4\\frac{5}{14} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "10 + 22",
["typ"] = "plus" },
["render"] = "(10 + 22)",
["typ"] = "zavorka" },
["render"] = "-20 \\cdot 4\\frac{5}{14} \\cdot -9 - (10 + 22)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-20 \\cdot 4\\frac{5}{14} \\cdot -9 - (10 + 22)}{-18}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.86, bodu=177, $$(\frac{2\frac{4}{5}}{7})^3 + \frac{\frac{1\frac{1}{5}}{-12}}{-11 + 4\frac{4}{12}}=\textcolor{white}{0{,}079}$$return {
["body"] = 177,
["id"] = "pVFMer_0920_2229",
["obtiznost"] = 1.5132,
["reseni"] = {
["float"] = 0.079,
["objekt"] = {
["hodnota"] = {
["citatel"] = 79,
["jmenovatel"] = 1000 },
["render"] = "\\frac{1975}{25000}",
["typ"] = "cislo" },
["tex"] = "\\frac{79}{1000}",
["tex_float"] = "0{,}079",
["y"] = 79,
["z"] = 1000 },
["seed"] = "broNvlVogACBynJJvkZU_0.86",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{5}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{4}{5}}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{5}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{1}{5}}{-12}}{-11 + 4\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{2\\frac{4}{5}}{7})^3 + \\frac{\\frac{1\\frac{1}{5}}{-12}}{-11 + 4\\frac{4}{12}}",
["typ"] = "plus" } }
seed: broNvlVogACBynJJvkZU_0.87, bodu=150, $$(\frac{8}{-14 \cdot -8})^2 \cdot (3\frac{1}{6} - (-11) - 3\frac{5}{11})=\textcolor{white}{\frac{101}{1848}}$$return {
["body"] = 150,
["id"] = "rnr8H8_0920_2229",
["obtiznost"] = 1.3488,
["reseni"] = {
["float"] = 0.05465367965368,
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 1848 },
["render"] = "\\frac{707}{12936}",
["typ"] = "cislo" },
["tex"] = "\\frac{101}{1848}",
["y"] = 101,
["z"] = 1848 },
["seed"] = "broNvlVogACBynJJvkZU_0.87",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{8}{-14 \\cdot -8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-14 \\cdot -8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - (-11) - 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{6} - (-11) - 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{-14 \\cdot -8})^2 \\cdot (3\\frac{1}{6} - (-11) - 3\\frac{5}{11})",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.88, bodu=241, $$\frac{12}{(2\frac{1}{7} + 4\frac{2}{4}) \cdot 2\frac{4}{11}} - (3\frac{2}{7} - 1\frac{1}{11})=\textcolor{white}{-1\frac{13360}{31031}}$$return {
["body"] = 241,
["id"] = "JKBIzB_0920_2229",
["obtiznost"] = 1.88,
["reseni"] = {
["float"] = -1.4305372047308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44391,
["jmenovatel"] = 31031 },
["render"] = "\\frac{-44391}{31031}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13360}{31031}",
["x"] = -1,
["y"] = 13360,
["z"] = 31031 },
["seed"] = "broNvlVogACBynJJvkZU_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{7} + 4\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{7} + 4\\frac{2}{4}) \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "\\frac{12}{(2\\frac{1}{7} + 4\\frac{2}{4}) \\cdot 2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 1\\frac{1}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - 1\\frac{1}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{12}{(2\\frac{1}{7} + 4\\frac{2}{4}) \\cdot 2\\frac{4}{11}} - (3\\frac{2}{7} - 1\\frac{1}{11})",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.89, bodu=243, $$(\frac{-17 + 3\frac{3}{12}}{15} + (-13)) \cdot (1\frac{2}{5} + 3\frac{5}{15} + 4\frac{3}{6} - 4\frac{3}{6})=\textcolor{white}{-65\frac{157}{180}}$$return {
["body"] = 243,
["id"] = "lL5E5O_0920_2229",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = -65.872222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11857,
["jmenovatel"] = 180 },
["render"] = "\\frac{-11857}{180}",
["typ"] = "cislo" },
["tex"] = "-65\\frac{157}{180}",
["x"] = -65,
["y"] = 157,
["z"] = 180 },
["seed"] = "broNvlVogACBynJJvkZU_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-17 + 3\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 3\\frac{3}{12}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 3\\frac{3}{12}}{15} + (-13)",
["typ"] = "plus" },
["render"] = "(\\frac{-17 + 3\\frac{3}{12}}{15} + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 3\\frac{5}{15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{5} + 3\\frac{5}{15} + 4\\frac{3}{6} - 4\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{5} + 3\\frac{5}{15} + 4\\frac{3}{6} - 4\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-17 + 3\\frac{3}{12}}{15} + (-13)) \\cdot (1\\frac{2}{5} + 3\\frac{5}{15} + 4\\frac{3}{6} - 4\\frac{3}{6})",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.9, bodu=175, $$\frac{2\frac{3}{10} + 1\frac{1}{5} \cdot 20 + (-5 + 21 + (-16))^2}{2\frac{5}{8}}=\textcolor{white}{10\frac{2}{105}}$$return {
["body"] = 175,
["id"] = "ODgtim_0920_2229",
["obtiznost"] = 1.5004,
["reseni"] = {
["float"] = 10.019047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1052,
["jmenovatel"] = 105 },
["render"] = "\\frac{2104}{210}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{105}",
["x"] = 10,
["y"] = 2,
["z"] = 105 },
["seed"] = "broNvlVogACBynJJvkZU_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot 20",
["typ"] = "krat" },
["render"] = "2\\frac{3}{10} + 1\\frac{1}{5} \\cdot 20",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "21 + (-16)",
["typ"] = "plus" },
["render"] = "-5 + 21 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 21 + (-16))^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{10} + 1\\frac{1}{5} \\cdot 20 + (-5 + 21 + (-16))^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{10} + 1\\frac{1}{5} \\cdot 20 + (-5 + 21 + (-16))^2}{2\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.91, bodu=144, $$\frac{(2\frac{3}{12} + (-8 - (-23))) \cdot -11}{-16 \cdot 3\frac{4}{8}}=\textcolor{white}{3\frac{87}{224}}$$return {
["body"] = 144,
["id"] = "2C9b1y_0920_2229",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 3.3883928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 759,
["jmenovatel"] = 224 },
["render"] = "\\frac{-759}{-224}",
["typ"] = "cislo" },
["tex"] = "3\\frac{87}{224}",
["x"] = 3,
["y"] = 87,
["z"] = 224 },
["seed"] = "broNvlVogACBynJJvkZU_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "-8 - (-23)",
["typ"] = "minus" },
["render"] = "2\\frac{3}{12} + (-8 - (-23))",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{12} + (-8 - (-23)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{12} + (-8 - (-23))) \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{(2\\frac{3}{12} + (-8 - (-23))) \\cdot -11}{-16 \\cdot 3\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.92, bodu=213, $$(\frac{-12}{2\frac{3}{8}} + (-8) + 4\frac{4}{10} + \frac{3\frac{5}{10}}{19}) \cdot 1\frac{5}{13}=\textcolor{white}{-11\frac{896}{1235}}$$return {
["body"] = 213,
["id"] = "eB0G0p_0920_2229",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = -11.725506072874,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14481,
["jmenovatel"] = 1235 },
["render"] = "\\frac{-28962}{2470}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{896}{1235}",
["x"] = -11,
["y"] = 896,
["z"] = 1235 },
["seed"] = "broNvlVogACBynJJvkZU_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{3}{8}} + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{19}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{10} + \\frac{3\\frac{5}{10}}{19}",
["typ"] = "plus" },
["render"] = "\\frac{-12}{2\\frac{3}{8}} + (-8) + 4\\frac{4}{10} + \\frac{3\\frac{5}{10}}{19}",
["typ"] = "plus" },
["render"] = "(\\frac{-12}{2\\frac{3}{8}} + (-8) + 4\\frac{4}{10} + \\frac{3\\frac{5}{10}}{19})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{2\\frac{3}{8}} + (-8) + 4\\frac{4}{10} + \\frac{3\\frac{5}{10}}{19}) \\cdot 1\\frac{5}{13}",
["typ"] = "krat" } }
seed: broNvlVogACBynJJvkZU_0.93, bodu=180, $$\frac{3\frac{3}{5}}{1\frac{5}{12} - (-15 \cdot -4 \cdot 4\frac{3}{9} + 18)}=\textcolor{white}{-\frac{216}{16595}}$$return {
["body"] = 180,
["id"] = "S7Lewo_0920_2229",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -0.013015968665261,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 16595 },
["render"] = "\\frac{216}{-16595}",
["typ"] = "cislo" },
["tex"] = "-\\frac{216}{16595}",
["y"] = -216,
["z"] = 16595 },
["seed"] = "broNvlVogACBynJJvkZU_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -4 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -4 \\cdot 4\\frac{3}{9} + 18",
["typ"] = "plus" },
["render"] = "(-15 \\cdot -4 \\cdot 4\\frac{3}{9} + 18)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} - (-15 \\cdot -4 \\cdot 4\\frac{3}{9} + 18)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{3}{5}}{1\\frac{5}{12} - (-15 \\cdot -4 \\cdot 4\\frac{3}{9} + 18)}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.94, bodu=233, $$\frac{3\frac{5}{9}}{\frac{(1\frac{1}{5} - 7)^2}{(\frac{14}{18 + (-12)})^3}}=\textcolor{white}{1\frac{70037}{204363}}$$return {
["body"] = 233,
["id"] = "PbpMkb_0920_2229",
["obtiznost"] = 1.8344,
["reseni"] = {
["float"] = 1.3427088073673,
["objekt"] = {
["hodnota"] = {
["citatel"] = 274400,
["jmenovatel"] = 204363 },
["render"] = "\\frac{274400}{204363}",
["typ"] = "cislo" },
["tex"] = "1\\frac{70037}{204363}",
["x"] = 1,
["y"] = 70037,
["z"] = 204363 },
["seed"] = "broNvlVogACBynJJvkZU_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{5} - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "18 + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{14}{18 + (-12)}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{18 + (-12)})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(1\\frac{1}{5} - 7)^2}{(\\frac{14}{18 + (-12)})^3}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{9}}{\\frac{(1\\frac{1}{5} - 7)^2}{(\\frac{14}{18 + (-12)})^3}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.95, bodu=183, $$\frac{\frac{\frac{4\frac{4}{12} - 3\frac{3}{8}}{-12 \cdot 1\frac{1}{8}}}{15}}{-18}=\textcolor{white}{\frac{23}{87480}}$$return {
["body"] = 183,
["id"] = "zjFzIj_0920_2229",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 0.00026291723822588,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 87480 },
["render"] = "\\frac{-23}{-87480}",
["typ"] = "cislo" },
["tex"] = "\\frac{23}{87480}",
["y"] = 23,
["z"] = 87480 },
["seed"] = "broNvlVogACBynJJvkZU_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{12} - 3\\frac{3}{8}}{-12 \\cdot 1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{12} - 3\\frac{3}{8}}{-12 \\cdot 1\\frac{1}{8}}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{4\\frac{4}{12} - 3\\frac{3}{8}}{-12 \\cdot 1\\frac{1}{8}}}{15}}{-18}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.96, bodu=94, $$\frac{17}{10} - (-13 - (-16 \cdot (-12 + (-8 + (-11)))))=\textcolor{white}{510{,}7}$$return {
["body"] = 94,
["id"] = "OcJg2W_0920_2229",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 510.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5107,
["jmenovatel"] = 10 },
["render"] = "\\frac{5107}{10}",
["typ"] = "cislo" },
["tex"] = "510\\frac{7}{10}",
["tex_float"] = "510{,}7",
["x"] = 510,
["y"] = 7,
["z"] = 10 },
["seed"] = "broNvlVogACBynJJvkZU_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{17}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 + (-11)",
["typ"] = "plus" },
["render"] = "-12 + (-8 + (-11))",
["typ"] = "plus" },
["render"] = "(-12 + (-8 + (-11)))",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot (-12 + (-8 + (-11)))",
["typ"] = "krat" },
["render"] = "-13 - (-16 \\cdot (-12 + (-8 + (-11))))",
["typ"] = "minus" },
["render"] = "(-13 - (-16 \\cdot (-12 + (-8 + (-11)))))",
["typ"] = "zavorka" },
["render"] = "\\frac{17}{10} - (-13 - (-16 \\cdot (-12 + (-8 + (-11)))))",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.97, bodu=154, $$\frac{-9 \cdot (-13 - 2\frac{1}{12})}{-19} \cdot 19 - 3\frac{5}{8}=\textcolor{white}{-139{,}375}$$return {
["body"] = 154,
["id"] = "L13TnC_0920_2229",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -139.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1115,
["jmenovatel"] = 8 },
["render"] = "\\frac{-4460}{32}",
["typ"] = "cislo" },
["tex"] = "-139\\frac{3}{8}",
["tex_float"] = "-139{,}375",
["x"] = -139,
["y"] = 3,
["z"] = 8 },
["seed"] = "broNvlVogACBynJJvkZU_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "-13 - 2\\frac{1}{12}",
["typ"] = "minus" },
["render"] = "(-13 - 2\\frac{1}{12})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-13 - 2\\frac{1}{12})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot (-13 - 2\\frac{1}{12})}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot (-13 - 2\\frac{1}{12})}{-19} \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot (-13 - 2\\frac{1}{12})}{-19} \\cdot 19 - 3\\frac{5}{8}",
["typ"] = "minus" } }
seed: broNvlVogACBynJJvkZU_0.98, bodu=188, $$\frac{\frac{1\frac{5}{11} \cdot 4\frac{1}{7}}{2\frac{4}{8}}}{\frac{-16}{-14}}=\textcolor{white}{2\frac{6}{55}}$$return {
["body"] = 188,
["id"] = "rmkvdL_0920_2229",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 2.1090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 116,
["jmenovatel"] = 55 },
["render"] = "\\frac{6496}{3080}",
["typ"] = "cislo" },
["tex"] = "2\\frac{6}{55}",
["x"] = 2,
["y"] = 6,
["z"] = 55 },
["seed"] = "broNvlVogACBynJJvkZU_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11} \\cdot 4\\frac{1}{7}}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{5}{11} \\cdot 4\\frac{1}{7}}{2\\frac{4}{8}}}{\\frac{-16}{-14}}",
["typ"] = "lomeno" } }
seed: broNvlVogACBynJJvkZU_0.99, bodu=157, $$\frac{22 - \frac{18 + 1\frac{2}{9}}{-19 \cdot 12} + 1\frac{5}{15}}{18}=\textcolor{white}{1\frac{11117}{36936}}$$return {
["body"] = 157,
["id"] = "Q5Fwnw_0920_2229",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 1.3009800736409,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48053,
["jmenovatel"] = 36936 },
["render"] = "\\frac{48053}{36936}",
["typ"] = "cislo" },
["tex"] = "1\\frac{11117}{36936}",
["x"] = 1,
["y"] = 11117,
["z"] = 36936 },
["seed"] = "broNvlVogACBynJJvkZU_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "18 + 1\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{18 + 1\\frac{2}{9}}{-19 \\cdot 12}",
["typ"] = "lomeno" },
["render"] = "22 - \\frac{18 + 1\\frac{2}{9}}{-19 \\cdot 12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "22 - \\frac{18 + 1\\frac{2}{9}}{-19 \\cdot 12} + 1\\frac{5}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{22 - \\frac{18 + 1\\frac{2}{9}}{-19 \\cdot 12} + 1\\frac{5}{15}}{18}",
["typ"] = "lomeno" } }
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
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ecstatic.gif: 
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happy_animation_by_strawberrycrescent-d9qi27u.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
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nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
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tettt.gif: 
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well-done-jennifer-anniston-clap-applause-2.gif: 