- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: rLx79YG3Rw8RY2OyRflI_0, bodu=5, $$6 - (-5 - 7 - (-4))=\textcolor{white}{14}$$return {
["body"] = 5,
["id"] = "dWXGHo_0418_1526",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["x"] = 14 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-5 - 7 - (-4)",
["typ"] = "minus" },
["render"] = "(-5 - 7 - (-4))",
["typ"] = "zavorka" },
["render"] = "6 - (-5 - 7 - (-4))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.01, bodu=10, $$\frac{(4 + 6 - (5 + 8))^2}{6}=\textcolor{white}{1{,}5}$$return {
["body"] = 10,
["id"] = "y2wdOL_0418_1526",
["obtiznost"] = 0.014,
["reseni"] = {
["float"] = 1.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "\\frac{9}{6}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{2}",
["tex_float"] = "1{,}5",
["x"] = 1,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 8",
["typ"] = "plus" },
["render"] = "(5 + 8)",
["typ"] = "zavorka" },
["render"] = "6 - (5 + 8)",
["typ"] = "minus" },
["render"] = "4 + 6 - (5 + 8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 6 - (5 + 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + 6 - (5 + 8))^2}{6}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.02, bodu=10, $$\frac{9 \cdot (-10 - (-4))^2}{3}=\textcolor{white}{108}$$return {
["body"] = 10,
["id"] = "lgSexl_0418_1526",
["obtiznost"] = 0.0348,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 1 },
["render"] = "\\frac{324}{3}",
["typ"] = "cislo" },
["tex"] = "108",
["tex_float"] = "108",
["x"] = 108 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-10 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - (-4))^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (-10 - (-4))^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot (-10 - (-4))^2}{3}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.03, bodu=10, $$3 - 9 - \frac{7}{6}=\textcolor{white}{-7\frac{1}{6}}$$return {
["body"] = 10,
["id"] = "YoPNF1_0418_1526",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -7.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 6 },
["render"] = "\\frac{-43}{6}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{6}",
["x"] = -7,
["y"] = 1,
["z"] = 6 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["render"] = "3 - 9 - \\frac{7}{6}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.04, bodu=24, $$\frac{\frac{-4}{(8 + 4)^2}}{1\frac{5}{7}}=\textcolor{white}{-\frac{7}{432}}$$return {
["body"] = 24,
["id"] = "hCnSpC_0418_1526",
["obtiznost"] = 0.298,
["reseni"] = {
["float"] = -0.016203703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 432 },
["render"] = "\\frac{-7}{432}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{432}",
["y"] = -7,
["z"] = 432 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(8 + 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-4}{(8 + 4)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-4}{(8 + 4)^2}}{1\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.05, bodu=12, $$(7 - 2)^4 - (-7 - 9)=\textcolor{white}{641}$$return {
["body"] = 12,
["id"] = "ep1OCv_0418_1526",
["obtiznost"] = 0.3004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 641,
["jmenovatel"] = 1 },
["render"] = "\\frac{641}{1}",
["typ"] = "cislo" },
["tex"] = "641",
["x"] = 641 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.05",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 - 2",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 2)^4",
["typ"] = "mocnina" },
["c2"] = {
["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"] = "minus" },
["render"] = "(-7 - 9)",
["typ"] = "zavorka" },
["render"] = "(7 - 2)^4 - (-7 - 9)",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.06, bodu=5, $$8 - (-6 + 6) \cdot 4=\textcolor{white}{8}$$return {
["body"] = 5,
["id"] = "2Q3EgU_0418_1526",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 + 6",
["typ"] = "plus" },
["render"] = "(-6 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(-6 + 6) \\cdot 4",
["typ"] = "krat" },
["render"] = "8 - (-6 + 6) \\cdot 4",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.07, bodu=5, $$(10 - 5) \cdot (5 - 7)=\textcolor{white}{-10}$$return {
["body"] = 5,
["id"] = "yKOUJj_0418_1526",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "\\frac{-10}{1}",
["typ"] = "cislo" },
["tex"] = "-10",
["tex_float"] = "-10",
["x"] = -10 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 - 5",
["typ"] = "minus" },
["render"] = "(10 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 7",
["typ"] = "minus" },
["render"] = "(5 - 7)",
["typ"] = "zavorka" },
["render"] = "(10 - 5) \\cdot (5 - 7)",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.08, bodu=23, $$1\frac{3}{5} \cdot -3 + 7 - 9=\textcolor{white}{-6{,}8}$$return {
["body"] = 23,
["id"] = "xGUKOY_0418_1526",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -6.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 5 },
["render"] = "\\frac{-34}{5}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{4}{5}",
["tex_float"] = "-6{,}8",
["x"] = -6,
["y"] = 4,
["z"] = 5 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "1\\frac{3}{5} \\cdot -3 + 7 - 9",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.09, bodu=12, $$\frac{7}{8} + 9 + 6=\textcolor{white}{15{,}875}$$return {
["body"] = 12,
["id"] = "43yNVs_0418_1526",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 15.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127,
["jmenovatel"] = 8 },
["render"] = "\\frac{127}{8}",
["typ"] = "cislo" },
["tex"] = "15\\frac{7}{8}",
["tex_float"] = "15{,}875",
["x"] = 15,
["y"] = 7,
["z"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8} + 9 + 6",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.1, bodu=12, $$(\frac{-4}{9} \cdot (5 - 5))^3=\textcolor{white}{0}$$return {
["body"] = 12,
["id"] = "yw5eYr_0418_1526",
["obtiznost"] = 0.1004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "minus" },
["render"] = "(5 - 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{-4}{9} \\cdot (5 - 5)",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{-4}{9} \\cdot (5 - 5))^3",
["typ"] = "mocnina" } }
seed: rLx79YG3Rw8RY2OyRflI_0.11, bodu=25, $$(9 - \frac{2\frac{4}{8}}{8}) \cdot -3=\textcolor{white}{-26\frac{1}{16}}$$return {
["body"] = 25,
["id"] = "PcGApZ_0418_1526",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -26.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -417,
["jmenovatel"] = 16 },
["render"] = "\\frac{-417}{16}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{1}{16}",
["x"] = -26,
["y"] = 1,
["z"] = 16 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.11",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{8}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{2\\frac{4}{8}}{8}",
["typ"] = "minus" },
["render"] = "(9 - \\frac{2\\frac{4}{8}}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(9 - \\frac{2\\frac{4}{8}}{8}) \\cdot -3",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.12, bodu=6, $$(-9 - 10) \cdot 10 \cdot -5=\textcolor{white}{950}$$return {
["body"] = 6,
["id"] = "TA6Vpq_0418_1526",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 950,
["jmenovatel"] = 1 },
["render"] = "\\frac{950}{1}",
["typ"] = "cislo" },
["tex"] = "950",
["tex_float"] = "950",
["x"] = 950 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.12",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["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" },
["render"] = "(-9 - 10) \\cdot 10 \\cdot -5",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.13, bodu=14, $$\frac{5 + (-9)}{(-9 + 7)^3}=\textcolor{white}{0{,}5}$$return {
["body"] = 14,
["id"] = "eAsvhN_0418_1526",
["obtiznost"] = 0.1336,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{-4}{-8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-9 + 7)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{5 + (-9)}{(-9 + 7)^3}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.14, bodu=27, $$7 \cdot 6 \cdot 3\frac{2}{5}=\textcolor{white}{142{,}8}$$return {
["body"] = 27,
["id"] = "Y9aklr_0418_1526",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 142.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 714,
["jmenovatel"] = 5 },
["render"] = "\\frac{714}{5}",
["typ"] = "cislo" },
["tex"] = "142\\frac{4}{5}",
["tex_float"] = "142{,}8",
["x"] = 142,
["y"] = 4,
["z"] = 5 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.14",
["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"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.15, bodu=28, $$\frac{2\frac{4}{7} - (6 - 10)}{11}=\textcolor{white}{\frac{46}{77}}$$return {
["body"] = 28,
["id"] = "5BuhVq_0418_1526",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 0.5974025974026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 77 },
["render"] = "\\frac{46}{77}",
["typ"] = "cislo" },
["tex"] = "\\frac{46}{77}",
["y"] = 46,
["z"] = 77 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["render"] = "(6 - 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} - (6 - 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7} - (6 - 10)}{11}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.16, bodu=55, $$\frac{(\frac{10}{3\frac{1}{5}})^2}{9}=\textcolor{white}{1\frac{49}{576}}$$return {
["body"] = 55,
["id"] = "8MItjo_0418_1526",
["obtiznost"] = 0.6356,
["reseni"] = {
["float"] = 1.0850694444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 576 },
["render"] = "\\frac{625}{576}",
["typ"] = "cislo" },
["tex"] = "1\\frac{49}{576}",
["x"] = 1,
["y"] = 49,
["z"] = 576 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.16",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{3\\frac{1}{5}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{10}{3\\frac{1}{5}})^2}{9}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.17, bodu=30, $$\frac{-9 - 10}{8 + 3\frac{1}{4}}=\textcolor{white}{-1\frac{31}{45}}$$return {
["body"] = 30,
["id"] = "5EWzAt_0418_1526",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -1.6888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 45 },
["render"] = "\\frac{-76}{45}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{31}{45}",
["x"] = -1,
["y"] = 31,
["z"] = 45 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.17",
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{-9 - 10}{8 + 3\\frac{1}{4}}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.18, bodu=8, $$-13 - 9 + 6 - 7=\textcolor{white}{-23}$$return {
["body"] = 8,
["id"] = "9aKcmx_0418_1526",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "\\frac{-23}{1}",
["typ"] = "cislo" },
["tex"] = "-23",
["tex_float"] = "-23",
["x"] = -23 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 - 7",
["typ"] = "minus" },
["render"] = "-13 - 9 + 6 - 7",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.19, bodu=8, $$5 \cdot (8 + 6 + (-8))=\textcolor{white}{30}$$return {
["body"] = 8,
["id"] = "cANdlT_0418_1526",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["x"] = 30 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + 6 + (-8)",
["typ"] = "plus" },
["render"] = "(8 + 6 + (-8))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (8 + 6 + (-8))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.2, bodu=18, $$(3 + 11) \cdot ((\frac{-10}{5})^2 - 9)=\textcolor{white}{-70}$$return {
["body"] = 18,
["id"] = "q3BDqa_0418_1526",
["obtiznost"] = 0.202,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -70,
["jmenovatel"] = 1 },
["render"] = "\\frac{-70}{1}",
["typ"] = "cislo" },
["tex"] = "-70",
["x"] = -70 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.2",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 + 11",
["typ"] = "plus" },
["render"] = "(3 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{5})^2 - 9",
["typ"] = "minus" },
["render"] = "((\\frac{-10}{5})^2 - 9)",
["typ"] = "zavorka" },
["render"] = "(3 + 11) \\cdot ((\\frac{-10}{5})^2 - 9)",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.21, bodu=9, $$(6 \cdot 10 - 8) \cdot 8=\textcolor{white}{416}$$return {
["body"] = 9,
["id"] = "miDIuK_0418_1526",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 416,
["jmenovatel"] = 1 },
["render"] = "\\frac{416}{1}",
["typ"] = "cislo" },
["tex"] = "416",
["tex_float"] = "416",
["x"] = 416 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10 - 8",
["typ"] = "minus" },
["render"] = "(6 \\cdot 10 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 10 - 8) \\cdot 8",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.22, bodu=34, $$12 - 5 - 4\frac{4}{9} \cdot -7=\textcolor{white}{38\frac{1}{9}}$$return {
["body"] = 34,
["id"] = "1CNE6Z_0418_1526",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 38.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 9 },
["render"] = "\\frac{343}{9}",
["typ"] = "cislo" },
["tex"] = "38\\frac{1}{9}",
["x"] = 38,
["y"] = 1,
["z"] = 9 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.22",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot -7",
["typ"] = "krat" },
["render"] = "12 - 5 - 4\\frac{4}{9} \\cdot -7",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.23, bodu=9, $$-8 \cdot (12 - 8) \cdot 10=\textcolor{white}{-320}$$return {
["body"] = 9,
["id"] = "EH8XhL_0418_1526",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -320,
["jmenovatel"] = 1 },
["render"] = "\\frac{-320}{1}",
["typ"] = "cislo" },
["tex"] = "-320",
["x"] = -320 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(12 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(12 - 8) \\cdot 10",
["typ"] = "krat" },
["render"] = "-8 \\cdot (12 - 8) \\cdot 10",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.24, bodu=30, $$(\frac{-6}{-5})^3 - 13 - 9=\textcolor{white}{-20{,}272}$$return {
["body"] = 30,
["id"] = "GPKXkV_0418_1526",
["obtiznost"] = 0.3764,
["reseni"] = {
["float"] = -20.272,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2534,
["jmenovatel"] = 125 },
["render"] = "\\frac{-2534}{125}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{34}{125}",
["tex_float"] = "-20{,}272",
["x"] = -20,
["y"] = 34,
["z"] = 125 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{-5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-5})^3 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-5})^3 - 13 - 9",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.25, bodu=21, $$(\frac{9 + 3}{8 + 8 + 8})^3=\textcolor{white}{0{,}125}$$return {
["body"] = 21,
["id"] = "Rj8Dgd_0418_1526",
["obtiznost"] = 0.2536,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{1}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8 + 8",
["typ"] = "plus" },
["render"] = "\\frac{9 + 3}{8 + 8 + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9 + 3}{8 + 8 + 8})^3",
["typ"] = "mocnina" } }
seed: rLx79YG3Rw8RY2OyRflI_0.26, bodu=38, $$4\frac{4}{8} - 7 + (-10 - 6 + (-10))=\textcolor{white}{-28{,}5}$$return {
["body"] = 38,
["id"] = "vXvtq2_0418_1526",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -28.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 2 },
["render"] = "\\frac{-57}{2}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{1}{2}",
["tex_float"] = "-28{,}5",
["x"] = -28,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 - 6 + (-10)",
["typ"] = "plus" },
["render"] = "4\\frac{4}{8} - 7 + (-10 - 6 + (-10))",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.27, bodu=22, $$\frac{5 \cdot 11}{(9 + (-10))^2}=\textcolor{white}{55}$$return {
["body"] = 22,
["id"] = "uvTgmH_0418_1526",
["obtiznost"] = 0.2708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{1}",
["typ"] = "cislo" },
["tex"] = "55",
["tex_float"] = "55",
["x"] = 55 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(9 + (-10))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{5 \\cdot 11}{(9 + (-10))^2}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.28, bodu=39, $$\frac{5 \cdot 4\frac{3}{6}}{12 \cdot 8}=\textcolor{white}{\frac{15}{64}}$$return {
["body"] = 39,
["id"] = "pmQ35E_0418_1526",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 0.234375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 64 },
["render"] = "\\frac{45}{192}",
["typ"] = "cislo" },
["tex"] = "\\frac{15}{64}",
["y"] = 15,
["z"] = 64 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "\\frac{5 \\cdot 4\\frac{3}{6}}{12 \\cdot 8}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.29, bodu=40, $$(2\frac{4}{10} - 7 - (-9 - 11)) \cdot 8=\textcolor{white}{123{,}2}$$return {
["body"] = 40,
["id"] = "H09rTs_0418_1526",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 123.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 616,
["jmenovatel"] = 5 },
["render"] = "\\frac{616}{5}",
["typ"] = "cislo" },
["tex"] = "123\\frac{1}{5}",
["tex_float"] = "123{,}2",
["x"] = 123,
["y"] = 1,
["z"] = 5 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.29",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} - 7",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 - 11",
["typ"] = "minus" },
["render"] = "(-9 - 11)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{10} - 7 - (-9 - 11)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} - 7 - (-9 - 11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{10} - 7 - (-9 - 11)) \\cdot 8",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.3, bodu=41, $$-3 + 12 \cdot 3 \cdot 4\frac{3}{9}=\textcolor{white}{153}$$return {
["body"] = 41,
["id"] = "YuPNoi_0418_1526",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 153,
["jmenovatel"] = 1 },
["render"] = "\\frac{153}{1}",
["typ"] = "cislo" },
["tex"] = "153",
["x"] = 153 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.3",
["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"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "-3 + 12 \\cdot 3 \\cdot 4\\frac{3}{9}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.31, bodu=46, $$\frac{1\frac{1}{5} + 10}{(\frac{-6}{8})^3}=\textcolor{white}{-26\frac{74}{135}}$$return {
["body"] = 46,
["id"] = "JJhTzp_0418_1526",
["obtiznost"] = 0.5464,
["reseni"] = {
["float"] = -26.548148148148,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3584,
["jmenovatel"] = 135 },
["render"] = "\\frac{3584}{-135}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{74}{135}",
["x"] = -26,
["y"] = 74,
["z"] = 135 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + 10",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{1}{5} + 10}{(\\frac{-6}{8})^3}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.32, bodu=64, $$10 \cdot 3\frac{4}{8} + 2\frac{3}{7} + 9 + 4=\textcolor{white}{50\frac{3}{7}}$$return {
["body"] = 64,
["id"] = "Whk58T_0418_1526",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 50.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 353,
["jmenovatel"] = 7 },
["render"] = "\\frac{353}{7}",
["typ"] = "cislo" },
["tex"] = "50\\frac{3}{7}",
["x"] = 50,
["y"] = 3,
["z"] = 7 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + 9 + 4",
["typ"] = "plus" },
["render"] = "10 \\cdot 3\\frac{4}{8} + 2\\frac{3}{7} + 9 + 4",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.33, bodu=48, $$((-5 + 8) \cdot \frac{14}{4\frac{1}{5}})^2=\textcolor{white}{100}$$return {
["body"] = 48,
["id"] = "SgdPWg_0418_1526",
["obtiznost"] = 0.5704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 1 },
["render"] = "\\frac{100}{1}",
["typ"] = "cislo" },
["tex"] = "100",
["x"] = 100 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.33",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 + 8",
["typ"] = "plus" },
["render"] = "(-5 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "(-5 + 8) \\cdot \\frac{14}{4\\frac{1}{5}}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-5 + 8) \\cdot \\frac{14}{4\\frac{1}{5}})^2",
["typ"] = "mocnina" } }
seed: rLx79YG3Rw8RY2OyRflI_0.34, bodu=36, $$(12 + 4)^2 \cdot \frac{4}{13}=\textcolor{white}{78\frac{10}{13}}$$return {
["body"] = 36,
["id"] = "GqUITM_0418_1526",
["obtiznost"] = 0.4428,
["reseni"] = {
["float"] = 78.769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1024,
["jmenovatel"] = 13 },
["render"] = "\\frac{1024}{13}",
["typ"] = "cislo" },
["tex"] = "78\\frac{10}{13}",
["x"] = 78,
["y"] = 10,
["z"] = 13 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.34",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4}{13}",
["typ"] = "lomeno" },
["render"] = "(12 + 4)^2 \\cdot \\frac{4}{13}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.35, bodu=68, $$(4 \cdot 13 + 3\frac{1}{3} - 1\frac{3}{6}) \cdot 6=\textcolor{white}{323}$$return {
["body"] = 68,
["id"] = "b0sFMQ_0418_1526",
["obtiznost"] = 0.75,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 323,
["jmenovatel"] = 1 },
["render"] = "\\frac{1938}{6}",
["typ"] = "cislo" },
["tex"] = "323",
["x"] = 323 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "4 \\cdot 13 + 3\\frac{1}{3} - 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(4 \\cdot 13 + 3\\frac{1}{3} - 1\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(4 \\cdot 13 + 3\\frac{1}{3} - 1\\frac{3}{6}) \\cdot 6",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.36, bodu=31, $$8 - (\frac{7}{7 - 4})^2=\textcolor{white}{2\frac{5}{9}}$$return {
["body"] = 31,
["id"] = "jKfom6_0418_1526",
["obtiznost"] = 0.3832,
["reseni"] = {
["float"] = 2.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "\\frac{23}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{5}{9}",
["x"] = 2,
["y"] = 5,
["z"] = 9 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["render"] = "\\frac{7}{7 - 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{7 - 4})^2",
["typ"] = "mocnina" },
["render"] = "8 - (\\frac{7}{7 - 4})^2",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.37, bodu=48, $$-14 \cdot 3\frac{4}{8} \cdot (10 - (-12))=\textcolor{white}{-1078}$$return {
["body"] = 48,
["id"] = "q6JGrJ_0418_1526",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1078,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1078}{1}",
["typ"] = "cislo" },
["tex"] = "-1078",
["x"] = -1078 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 - (-12)",
["typ"] = "minus" },
["render"] = "(10 - (-12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{8} \\cdot (10 - (-12))",
["typ"] = "krat" },
["render"] = "-14 \\cdot 3\\frac{4}{8} \\cdot (10 - (-12))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.38, bodu=49, $$\frac{15 - 1\frac{5}{8}}{5 \cdot 5}=\textcolor{white}{0{,}535}$$return {
["body"] = 49,
["id"] = "a5l81b_0418_1526",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 0.535,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 200 },
["render"] = "\\frac{107}{200}",
["typ"] = "cislo" },
["tex"] = "\\frac{107}{200}",
["tex_float"] = "0{,}535",
["y"] = 107,
["z"] = 200 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "15 - 1\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{15 - 1\\frac{5}{8}}{5 \\cdot 5}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.39, bodu=73, $$\frac{4\frac{5}{12} - (-5)}{1\frac{2}{8}} \cdot 10=\textcolor{white}{75\frac{1}{3}}$$return {
["body"] = 73,
["id"] = "VyK98A_0418_1526",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 75.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 226,
["jmenovatel"] = 3 },
["render"] = "\\frac{1130}{15}",
["typ"] = "cislo" },
["tex"] = "75\\frac{1}{3}",
["x"] = 75,
["y"] = 1,
["z"] = 3 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12} - (-5)}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12} - (-5)}{1\\frac{2}{8}} \\cdot 10",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.4, bodu=123, $$4\frac{3}{8} \cdot (3\frac{1}{2} \cdot 8)^2 \cdot (6 - 11)^3=\textcolor{white}{-428750}$$return {
["body"] = 123,
["id"] = "k4TfFg_0418_1526",
["obtiznost"] = 1.1644,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -428750,
["jmenovatel"] = 1 },
["render"] = "\\frac{-428750}{1}",
["typ"] = "cislo" },
["tex"] = "-428750",
["tex_float"] = "-428750",
["x"] = -428750 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} \\cdot 8",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{2} \\cdot 8)^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} \\cdot (3\\frac{1}{2} \\cdot 8)^2",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 11)^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} \\cdot (3\\frac{1}{2} \\cdot 8)^2 \\cdot (6 - 11)^3",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.41, bodu=33, $$6 - \frac{-11}{9} + (-10 \cdot -11)=\textcolor{white}{117\frac{2}{9}}$$return {
["body"] = 33,
["id"] = "KI2OLn_0418_1526",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 117.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1055,
["jmenovatel"] = 9 },
["render"] = "\\frac{1055}{9}",
["typ"] = "cislo" },
["tex"] = "117\\frac{2}{9}",
["x"] = 117,
["y"] = 2,
["z"] = 9 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{9}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{-11}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -11",
["typ"] = "krat" },
["render"] = "6 - \\frac{-11}{9} + (-10 \\cdot -11)",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.42, bodu=63, $$(11 + 4)^2 \cdot (-5 + (-10 + 15 + 4\frac{4}{8}))=\textcolor{white}{1012{,}5}$$return {
["body"] = 63,
["id"] = "1oHQeD_0418_1526",
["obtiznost"] = 0.7104,
["reseni"] = {
["float"] = 1012.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2025,
["jmenovatel"] = 2 },
["render"] = "\\frac{2025}{2}",
["typ"] = "cislo" },
["tex"] = "1012\\frac{1}{2}",
["tex_float"] = "1012{,}5",
["x"] = 1012,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "-10 + 15 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "-5 + (-10 + 15 + 4\\frac{4}{8})",
["typ"] = "plus" },
["render"] = "(-5 + (-10 + 15 + 4\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "(11 + 4)^2 \\cdot (-5 + (-10 + 15 + 4\\frac{4}{8}))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.43, bodu=17, $$7 \cdot 10 \cdot -11 \cdot 12=\textcolor{white}{-9240}$$return {
["body"] = 17,
["id"] = "k2vCAD_0418_1526",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9240,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9240}{1}",
["typ"] = "cislo" },
["tex"] = "-9240",
["x"] = -9240 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -11 \\cdot 12",
["typ"] = "krat" },
["render"] = "7 \\cdot 10 \\cdot -11 \\cdot 12",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.44, bodu=36, $$(-7 - \frac{11}{\frac{2}{9}}) \cdot 5=\textcolor{white}{-282{,}5}$$return {
["body"] = 36,
["id"] = "bWJGsi_0418_1526",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -282.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -565,
["jmenovatel"] = 2 },
["render"] = "\\frac{-565}{2}",
["typ"] = "cislo" },
["tex"] = "-282\\frac{1}{2}",
["tex_float"] = "-282{,}5",
["x"] = -282,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "-7 - \\frac{11}{\\frac{2}{9}}",
["typ"] = "minus" },
["render"] = "(-7 - \\frac{11}{\\frac{2}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-7 - \\frac{11}{\\frac{2}{9}}) \\cdot 5",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.45, bodu=60, $$1\frac{1}{3} \cdot (7 - 15)^2 - (-10) + 16=\textcolor{white}{111\frac{1}{3}}$$return {
["body"] = 60,
["id"] = "awSEsZ_0418_1526",
["obtiznost"] = 0.676,
["reseni"] = {
["float"] = 111.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 334,
["jmenovatel"] = 3 },
["render"] = "\\frac{334}{3}",
["typ"] = "cislo" },
["tex"] = "111\\frac{1}{3}",
["x"] = 111,
["y"] = 1,
["z"] = 3 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "7 - 15",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 15)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{3} \\cdot (7 - 15)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} \\cdot (7 - 15)^2 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} \\cdot (7 - 15)^2 - (-10) + 16",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.46, bodu=58, $$10 \cdot (9 + 2\frac{3}{7}) \cdot -8 + 4=\textcolor{white}{-910\frac{2}{7}}$$return {
["body"] = 58,
["id"] = "bWc3j8_0418_1526",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -910.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6372,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6372}{7}",
["typ"] = "cislo" },
["tex"] = "-910\\frac{2}{7}",
["x"] = -910,
["y"] = 2,
["z"] = 7 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(9 + 2\\frac{3}{7}) \\cdot -8",
["typ"] = "krat" },
["render"] = "10 \\cdot (9 + 2\\frac{3}{7}) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot (9 + 2\\frac{3}{7}) \\cdot -8 + 4",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.47, bodu=59, $$-7 \cdot \frac{3\frac{1}{5}}{12} \cdot -9=\textcolor{white}{16{,}8}$$return {
["body"] = 59,
["id"] = "PcCkwr_0418_1526",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 16.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 5 },
["render"] = "\\frac{252}{15}",
["typ"] = "cislo" },
["tex"] = "16\\frac{4}{5}",
["tex_float"] = "16{,}8",
["x"] = 16,
["y"] = 4,
["z"] = 5 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{12}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{3\\frac{1}{5}}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-7 \\cdot \\frac{3\\frac{1}{5}}{12} \\cdot -9",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.48, bodu=60, $$\frac{-12}{-12} - 13 \cdot (4\frac{4}{8} - (-17))=\textcolor{white}{-278{,}5}$$return {
["body"] = 60,
["id"] = "TB8bGq_0418_1526",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -278.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -557,
["jmenovatel"] = 2 },
["render"] = "\\frac{-557}{2}",
["typ"] = "cislo" },
["tex"] = "-278\\frac{1}{2}",
["tex_float"] = "-278{,}5",
["x"] = -278,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - (-17)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{8} - (-17))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{4}{8} - (-17))",
["typ"] = "krat" },
["render"] = "\\frac{-12}{-12} - 13 \\cdot (4\\frac{4}{8} - (-17))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.49, bodu=61, $$\frac{6}{11} \cdot (4\frac{2}{6} + 10 \cdot -11)=\textcolor{white}{-57\frac{7}{11}}$$return {
["body"] = 61,
["id"] = "krmPXl_0418_1526",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -57.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -634,
["jmenovatel"] = 11 },
["render"] = "\\frac{-1902}{33}",
["typ"] = "cislo" },
["tex"] = "-57\\frac{7}{11}",
["x"] = -57,
["y"] = 7,
["z"] = 11 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.49",
["zadani"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -11",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} + 10 \\cdot -11",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 10 \\cdot -11)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{11} \\cdot (4\\frac{2}{6} + 10 \\cdot -11)",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.5, bodu=62, $$\frac{14}{3\frac{1}{5}} \cdot -9 \cdot 5=\textcolor{white}{-196{,}875}$$return {
["body"] = 62,
["id"] = "HE235g_0418_1526",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -196.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1575,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1575}{8}",
["typ"] = "cislo" },
["tex"] = "-196\\frac{7}{8}",
["tex_float"] = "-196{,}875",
["x"] = -196,
["y"] = 7,
["z"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{1}{5}} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{1}{5}} \\cdot -9 \\cdot 5",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.51, bodu=80, $$(\frac{(-4 + 12) \cdot -7}{8})^3 - 2\frac{5}{10}=\textcolor{white}{-345{,}5}$$return {
["body"] = 80,
["id"] = "Lq3b5Q_0418_1526",
["obtiznost"] = 0.8476,
["reseni"] = {
["float"] = -345.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -691,
["jmenovatel"] = 2 },
["render"] = "\\frac{-691}{2}",
["typ"] = "cislo" },
["tex"] = "-345\\frac{1}{2}",
["tex_float"] = "-345{,}5",
["x"] = -345,
["y"] = 1,
["z"] = 2 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.51",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-4 + 12",
["typ"] = "plus" },
["render"] = "(-4 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-4 + 12) \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-4 + 12) \\cdot -7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(-4 + 12) \\cdot -7}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{(-4 + 12) \\cdot -7}{8})^3 - 2\\frac{5}{10}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.52, bodu=89, $$(\frac{3\frac{2}{6}}{-5} + \frac{13 + (-12)}{1\frac{4}{8}})^3=\textcolor{white}{0}$$return {
["body"] = 89,
["id"] = "Bb7xii_0418_1526",
["obtiznost"] = 0.9204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.52",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{-5}",
["typ"] = "lomeno" },
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13 + (-12)}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{6}}{-5} + \\frac{13 + (-12)}{1\\frac{4}{8}}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{3\\frac{2}{6}}{-5} + \\frac{13 + (-12)}{1\\frac{4}{8}})^3",
["typ"] = "mocnina" } }
seed: rLx79YG3Rw8RY2OyRflI_0.53, bodu=66, $$(-13 - 1\frac{2}{3}) \cdot -5 \cdot \frac{-12}{11}=\textcolor{white}{-80}$$return {
["body"] = 66,
["id"] = "BgQj9X_0418_1526",
["obtiznost"] = 0.73,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2640}{33}",
["typ"] = "cislo" },
["tex"] = "-80",
["x"] = -80 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-13 - 1\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(-13 - 1\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-5 \\cdot \\frac{-12}{11}",
["typ"] = "krat" },
["render"] = "(-13 - 1\\frac{2}{3}) \\cdot -5 \\cdot \\frac{-12}{11}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.54, bodu=82, $$\frac{5 + (\frac{7}{-10} \cdot 8)^2}{10}=\textcolor{white}{3{,}636}$$return {
["body"] = 82,
["id"] = "xyjUc2_0418_1526",
["obtiznost"] = 0.8636,
["reseni"] = {
["float"] = 3.636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 909,
["jmenovatel"] = 250 },
["render"] = "\\frac{909}{250}",
["typ"] = "cislo" },
["tex"] = "3\\frac{159}{250}",
["tex_float"] = "3{,}636",
["x"] = 3,
["y"] = 159,
["z"] = 250 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10} \\cdot 8",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-10} \\cdot 8)^2",
["typ"] = "mocnina" },
["render"] = "5 + (\\frac{7}{-10} \\cdot 8)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5 + (\\frac{7}{-10} \\cdot 8)^2}{10}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.55, bodu=68, $$6 \cdot (15 + 11) \cdot (1\frac{2}{8} + 14)=\textcolor{white}{2379}$$return {
["body"] = 68,
["id"] = "XxHH1o_0418_1526",
["obtiznost"] = 0.75,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2379,
["jmenovatel"] = 1 },
["render"] = "\\frac{9516}{4}",
["typ"] = "cislo" },
["tex"] = "2379",
["tex_float"] = "2379",
["x"] = 2379 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 + 11",
["typ"] = "plus" },
["render"] = "(15 + 11)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (15 + 11)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} + 14",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{8} + 14)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (15 + 11) \\cdot (1\\frac{2}{8} + 14)",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.56, bodu=95, $$\frac{-8}{2\frac{3}{8} - (4\frac{2}{6} + 7 - 11)^2}=\textcolor{white}{-3\frac{87}{163}}$$return {
["body"] = 95,
["id"] = "zvi5Vt_0418_1526",
["obtiznost"] = 0.964,
["reseni"] = {
["float"] = -3.5337423312883,
["objekt"] = {
["hodnota"] = {
["citatel"] = -576,
["jmenovatel"] = 163 },
["render"] = "\\frac{-576}{163}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{87}{163}",
["x"] = -3,
["y"] = 87,
["z"] = 163 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 7 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{6} + 7 - 11)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{8} - (4\\frac{2}{6} + 7 - 11)^2",
["typ"] = "minus" },
["render"] = "\\frac{-8}{2\\frac{3}{8} - (4\\frac{2}{6} + 7 - 11)^2}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.57, bodu=95, $$\frac{-5}{-5} + \frac{1\frac{4}{11}}{1\frac{1}{3}} - 12=\textcolor{white}{-9\frac{43}{44}}$$return {
["body"] = 95,
["id"] = "pRQWKN_0418_1526",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -9.9772727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -439,
["jmenovatel"] = 44 },
["render"] = "\\frac{-439}{44}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{43}{44}",
["x"] = -9,
["y"] = 43,
["z"] = 44 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11}}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-5}{-5} + \\frac{1\\frac{4}{11}}{1\\frac{1}{3}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-5} + \\frac{1\\frac{4}{11}}{1\\frac{1}{3}} - 12",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.58, bodu=97, $$\frac{-11 \cdot -4}{-6 - (2\frac{5}{7} + 2\frac{2}{3})}=\textcolor{white}{-3\frac{207}{239}}$$return {
["body"] = 97,
["id"] = "mp49Dv_0418_1526",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -3.8661087866109,
["objekt"] = {
["hodnota"] = {
["citatel"] = -924,
["jmenovatel"] = 239 },
["render"] = "\\frac{924}{-239}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{207}{239}",
["x"] = -3,
["y"] = 207,
["z"] = 239 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 2\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{7} + 2\\frac{2}{3})",
["typ"] = "zavorka" },
["render"] = "-6 - (2\\frac{5}{7} + 2\\frac{2}{3})",
["typ"] = "minus" },
["render"] = "\\frac{-11 \\cdot -4}{-6 - (2\\frac{5}{7} + 2\\frac{2}{3})}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.59, bodu=73, $$5 + 11 \cdot 8 + 2\frac{5}{8} - 10 + (-10)=\textcolor{white}{75{,}625}$$return {
["body"] = 73,
["id"] = "s1mDxI_0418_1526",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 75.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 605,
["jmenovatel"] = 8 },
["render"] = "\\frac{605}{8}",
["typ"] = "cislo" },
["tex"] = "75\\frac{5}{8}",
["tex_float"] = "75{,}625",
["x"] = 75,
["y"] = 5,
["z"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["render"] = "5 + 11 \\cdot 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 10 + (-10)",
["typ"] = "plus" },
["render"] = "5 + 11 \\cdot 8 + 2\\frac{5}{8} - 10 + (-10)",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.6, bodu=159, $$\frac{3\frac{4}{10} + \frac{-15}{2\frac{5}{7}}}{4\frac{3}{5}} + 4\frac{3}{8} + 14=\textcolor{white}{17\frac{3191}{3496}}$$return {
["body"] = 159,
["id"] = "VMEJG8_0418_1526",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 17.912757437071,
["objekt"] = {
["hodnota"] = {
["citatel"] = 62623,
["jmenovatel"] = 3496 },
["render"] = "\\frac{62623}{3496}",
["typ"] = "cislo" },
["tex"] = "17\\frac{3191}{3496}",
["x"] = 17,
["y"] = 3191,
["z"] = 3496 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{2\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{10} + \\frac{-15}{2\\frac{5}{7}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10} + \\frac{-15}{2\\frac{5}{7}}}{4\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 14",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{10} + \\frac{-15}{2\\frac{5}{7}}}{4\\frac{3}{5}} + 4\\frac{3}{8} + 14",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.61, bodu=75, $$\frac{18 \cdot 1\frac{2}{7} + 9}{(-18 + 16)^2 \cdot 16}=\textcolor{white}{\frac{225}{448}}$$return {
["body"] = 75,
["id"] = "kxFG4k_0418_1526",
["obtiznost"] = 0.812,
["reseni"] = {
["float"] = 0.50223214285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 448 },
["render"] = "\\frac{225}{448}",
["typ"] = "cislo" },
["tex"] = "\\frac{225}{448}",
["y"] = 225,
["z"] = 448 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "18 \\cdot 1\\frac{2}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-18 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-18 + 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(-18 + 16)^2 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{18 \\cdot 1\\frac{2}{7} + 9}{(-18 + 16)^2 \\cdot 16}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.62, bodu=135, $$(15 - 2\frac{3}{8}) \cdot (-8 \cdot (2\frac{4}{8} - 1\frac{2}{4})^4)^2=\textcolor{white}{808}$$return {
["body"] = 135,
["id"] = "XozxMZ_0418_1526",
["obtiznost"] = 1.2468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 808,
["jmenovatel"] = 1 },
["render"] = "\\frac{6464}{8}",
["typ"] = "cislo" },
["tex"] = "808",
["x"] = 808 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(15 - 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 1\\frac{2}{4}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(2\\frac{4}{8} - 1\\frac{2}{4})^4",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot (2\\frac{4}{8} - 1\\frac{2}{4})^4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-8 \\cdot (2\\frac{4}{8} - 1\\frac{2}{4})^4)^2",
["typ"] = "mocnina" },
["render"] = "(15 - 2\\frac{3}{8}) \\cdot (-8 \\cdot (2\\frac{4}{8} - 1\\frac{2}{4})^4)^2",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.63, bodu=132, $$(9 + 1\frac{5}{8}) \cdot -9 \cdot (\frac{1\frac{2}{10}}{1\frac{1}{5}})^4=\textcolor{white}{-95{,}625}$$return {
["body"] = 132,
["id"] = "YbGz0p_0418_1526",
["obtiznost"] = 1.2308,
["reseni"] = {
["float"] = -95.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -765,
["jmenovatel"] = 8 },
["render"] = "\\frac{-765}{8}",
["typ"] = "cislo" },
["tex"] = "-95\\frac{5}{8}",
["tex_float"] = "-95{,}625",
["x"] = -95,
["y"] = 5,
["z"] = 8 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(9 + 1\\frac{5}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(9 + 1\\frac{5}{8}) \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{10}}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{1\\frac{2}{10}}{1\\frac{1}{5}})^4",
["typ"] = "mocnina" },
["render"] = "(9 + 1\\frac{5}{8}) \\cdot -9 \\cdot (\\frac{1\\frac{2}{10}}{1\\frac{1}{5}})^4",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.64, bodu=28, $$12 \cdot -10 \cdot (-2 + (-10 + 6 \cdot 10))=\textcolor{white}{-5760}$$return {
["body"] = 28,
["id"] = "A97Uyj_0418_1526",
["obtiznost"] = 0.64,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5760,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5760}{1}",
["typ"] = "cislo" },
["tex"] = "-5760",
["x"] = -5760 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["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"] = "-10 + 6 \\cdot 10",
["typ"] = "plus" },
["render"] = "-2 + (-10 + 6 \\cdot 10)",
["typ"] = "plus" },
["render"] = "(-2 + (-10 + 6 \\cdot 10))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot -10 \\cdot (-2 + (-10 + 6 \\cdot 10))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.65, bodu=134, $$\frac{(7 + 15)^2}{(-10 - 3\frac{2}{4} - 3\frac{5}{12}) \cdot -10}=\textcolor{white}{2\frac{874}{1015}}$$return {
["body"] = 134,
["id"] = "1Y7vyu_0418_1526",
["obtiznost"] = 1.244,
["reseni"] = {
["float"] = 2.8610837438424,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2904,
["jmenovatel"] = 1015 },
["render"] = "\\frac{2904}{1015}",
["typ"] = "cislo" },
["tex"] = "2\\frac{874}{1015}",
["x"] = 2,
["y"] = 874,
["z"] = 1015 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "7 + 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-10 - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-10 - 3\\frac{2}{4} - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(-10 - 3\\frac{2}{4} - 3\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-10 - 3\\frac{2}{4} - 3\\frac{5}{12}) \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{(7 + 15)^2}{(-10 - 3\\frac{2}{4} - 3\\frac{5}{12}) \\cdot -10}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.66, bodu=108, $$16 \cdot 6 - (1\frac{5}{7} + \frac{-7}{-10}) + 2\frac{4}{10}=\textcolor{white}{95\frac{69}{70}}$$return {
["body"] = 108,
["id"] = "LhTmrc_0418_1526",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 95.985714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6719,
["jmenovatel"] = 70 },
["render"] = "\\frac{33595}{350}",
["typ"] = "cislo" },
["tex"] = "95\\frac{69}{70}",
["x"] = 95,
["y"] = 69,
["z"] = 70 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "16 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{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"] = "\\frac{-7}{-10}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{7} + \\frac{-7}{-10}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{7} + \\frac{-7}{-10})",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 6 - (1\\frac{5}{7} + \\frac{-7}{-10})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 6 - (1\\frac{5}{7} + \\frac{-7}{-10}) + 2\\frac{4}{10}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.67, bodu=170, $$3\frac{5}{7} - 3\frac{4}{10} + 3\frac{2}{10} + 11 - \frac{1\frac{3}{8}}{16}=\textcolor{white}{14\frac{1919}{4480}}$$return {
["body"] = 170,
["id"] = "6H4r5a_0418_1526",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 14.428348214286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64639,
["jmenovatel"] = 4480 },
["render"] = "\\frac{323195}{22400}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1919}{4480}",
["x"] = 14,
["y"] = 1919,
["z"] = 4480 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - 3\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{16}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{1\\frac{3}{8}}{16}",
["typ"] = "minus" },
["render"] = "3\\frac{2}{10} + 11 - \\frac{1\\frac{3}{8}}{16}",
["typ"] = "plus" },
["render"] = "3\\frac{5}{7} - 3\\frac{4}{10} + 3\\frac{2}{10} + 11 - \\frac{1\\frac{3}{8}}{16}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.68, bodu=140, $$\frac{6 \cdot -13}{1\frac{2}{5} \cdot \frac{1\frac{5}{9}}{1\frac{5}{6}}}=\textcolor{white}{-65\frac{65}{98}}$$return {
["body"] = 140,
["id"] = "8qPOyI_0418_1526",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -65.663265306122,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6435,
["jmenovatel"] = 98 },
["render"] = "\\frac{-12870}{196}",
["typ"] = "cislo" },
["tex"] = "-65\\frac{65}{98}",
["x"] = -65,
["y"] = 65,
["z"] = 98 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "6 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{1\\frac{5}{6}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{5} \\cdot \\frac{1\\frac{5}{9}}{1\\frac{5}{6}}",
["typ"] = "krat" },
["render"] = "\\frac{6 \\cdot -13}{1\\frac{2}{5} \\cdot \\frac{1\\frac{5}{9}}{1\\frac{5}{6}}}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.69, bodu=141, $$8 - (-6) + \frac{4\frac{1}{5}}{-10 - 2\frac{5}{13}} + 3\frac{2}{5}=\textcolor{white}{17\frac{7}{115}}$$return {
["body"] = 141,
["id"] = "lUquE8_0418_1526",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 17.060869565217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1962,
["jmenovatel"] = 115 },
["render"] = "\\frac{1962}{115}",
["typ"] = "cislo" },
["tex"] = "17\\frac{7}{115}",
["x"] = 17,
["y"] = 7,
["z"] = 115 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-10 - 2\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{5}}{-10 - 2\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-10 - 2\\frac{5}{13}} + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "8 - (-6) + \\frac{4\\frac{1}{5}}{-10 - 2\\frac{5}{13}} + 3\\frac{2}{5}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.7, bodu=83, $$-9 \cdot ((-8 - 13)^2 + \frac{\frac{14}{-13}}{11})=\textcolor{white}{-3968\frac{17}{143}}$$return {
["body"] = 83,
["id"] = "LSZqOf_0418_1526",
["obtiznost"] = 0.8768,
["reseni"] = {
["float"] = -3968.1188811189,
["objekt"] = {
["hodnota"] = {
["citatel"] = -567441,
["jmenovatel"] = 143 },
["render"] = "\\frac{-567441}{143}",
["typ"] = "cislo" },
["tex"] = "-3968\\frac{17}{143}",
["x"] = -3968,
["y"] = 17,
["z"] = 143 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{-13}}{11}",
["typ"] = "lomeno" },
["render"] = "(-8 - 13)^2 + \\frac{\\frac{14}{-13}}{11}",
["typ"] = "plus" },
["render"] = "((-8 - 13)^2 + \\frac{\\frac{14}{-13}}{11})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot ((-8 - 13)^2 + \\frac{\\frac{14}{-13}}{11})",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.71, bodu=115, $$\frac{11}{8} - \frac{4\frac{3}{11}}{18 \cdot 4\frac{1}{8}}=\textcolor{white}{1\frac{8297}{26136}}$$return {
["body"] = 115,
["id"] = "5WJdnj_0418_1526",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 1.3174548515458,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34433,
["jmenovatel"] = 26136 },
["render"] = "\\frac{34433}{26136}",
["typ"] = "cislo" },
["tex"] = "1\\frac{8297}{26136}",
["x"] = 1,
["y"] = 8297,
["z"] = 26136 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{11}}{18 \\cdot 4\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{8} - \\frac{4\\frac{3}{11}}{18 \\cdot 4\\frac{1}{8}}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.72, bodu=89, $$-8 \cdot 10 \cdot 14 \cdot (2\frac{5}{8} + (-7))=\textcolor{white}{4900}$$return {
["body"] = 89,
["id"] = "wmoXGJ_0418_1526",
["obtiznost"] = 0.92,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4900,
["jmenovatel"] = 1 },
["render"] = "\\frac{9800}{2}",
["typ"] = "cislo" },
["tex"] = "4900",
["x"] = 4900 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + (-7)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{8} + (-7))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 14 \\cdot (2\\frac{5}{8} + (-7))",
["typ"] = "krat" },
["render"] = "-8 \\cdot 10 \\cdot 14 \\cdot (2\\frac{5}{8} + (-7))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.73, bodu=148, $$3\frac{3}{8} - \frac{8}{2\frac{1}{7}} \cdot \frac{3\frac{5}{9}}{16}=\textcolor{white}{2\frac{589}{1080}}$$return {
["body"] = 148,
["id"] = "0fQj8F_0418_1526",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 2.5453703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2749,
["jmenovatel"] = 1080 },
["render"] = "\\frac{2749}{1080}",
["typ"] = "cislo" },
["tex"] = "2\\frac{589}{1080}",
["x"] = 2,
["y"] = 589,
["z"] = 1080 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{2\\frac{1}{7}} \\cdot \\frac{3\\frac{5}{9}}{16}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} - \\frac{8}{2\\frac{1}{7}} \\cdot \\frac{3\\frac{5}{9}}{16}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.74, bodu=92, $$\frac{22 - 16}{14} \cdot -9 + (-17 + 2\frac{4}{9})=\textcolor{white}{-18\frac{26}{63}}$$return {
["body"] = 92,
["id"] = "oPkzVc_0418_1526",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -18.412698412698,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1160,
["jmenovatel"] = 63 },
["render"] = "\\frac{-1160}{63}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{26}{63}",
["x"] = -18,
["y"] = 26,
["z"] = 63 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "22 - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{22 - 16}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{22 - 16}{14} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-17 + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{22 - 16}{14} \\cdot -9 + (-17 + 2\\frac{4}{9})",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.75, bodu=120, $$\frac{\frac{1\frac{4}{4}}{1\frac{5}{8}}}{6 - 8 \cdot 2\frac{5}{7}}=\textcolor{white}{-\frac{56}{715}}$$return {
["body"] = 120,
["id"] = "3OmeSW_0418_1526",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.078321678321678,
["objekt"] = {
["hodnota"] = {
["citatel"] = -56,
["jmenovatel"] = 715 },
["render"] = "\\frac{112}{-1430}",
["typ"] = "cislo" },
["tex"] = "-\\frac{56}{715}",
["y"] = -56,
["z"] = 715 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{4}}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "6 - 8 \\cdot 2\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{1\\frac{4}{4}}{1\\frac{5}{8}}}{6 - 8 \\cdot 2\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.76, bodu=122, $$-4 - 4\frac{3}{11} - (1\frac{1}{9} - (15 \cdot 8 + (-11)))=\textcolor{white}{99\frac{61}{99}}$$return {
["body"] = 122,
["id"] = "bE4RAM_0418_1526",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 99.616161616162,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9862,
["jmenovatel"] = 99 },
["render"] = "\\frac{9862}{99}",
["typ"] = "cislo" },
["tex"] = "99\\frac{61}{99}",
["x"] = 99,
["y"] = 61,
["z"] = 99 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-4 - 4\\frac{3}{11}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "15 \\cdot 8 + (-11)",
["typ"] = "plus" },
["render"] = "(15 \\cdot 8 + (-11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{9} - (15 \\cdot 8 + (-11))",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{9} - (15 \\cdot 8 + (-11)))",
["typ"] = "zavorka" },
["render"] = "-4 - 4\\frac{3}{11} - (1\\frac{1}{9} - (15 \\cdot 8 + (-11)))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.77, bodu=95, $$(3\frac{4}{10} - 12) \cdot \frac{11}{16 \cdot 14}=\textcolor{white}{-\frac{473}{1120}}$$return {
["body"] = 95,
["id"] = "IV9zu4_0418_1526",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -0.42232142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -473,
["jmenovatel"] = 1120 },
["render"] = "\\frac{-473}{1120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{473}{1120}",
["y"] = -473,
["z"] = 1120 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 12",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{10} - 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "16 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{11}{16 \\cdot 14}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{4}{10} - 12) \\cdot \\frac{11}{16 \\cdot 14}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.78, bodu=125, $$11 \cdot (-17 + (-8 \cdot 2\frac{5}{11} \cdot (3\frac{2}{8} - 16)))=\textcolor{white}{2567}$$return {
["body"] = 125,
["id"] = "hgFOkr_0418_1526",
["obtiznost"] = 1.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2567,
["jmenovatel"] = 1 },
["render"] = "\\frac{28237}{11}",
["typ"] = "cislo" },
["tex"] = "2567",
["x"] = 2567 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 16",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 16)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot 2\\frac{5}{11} \\cdot (3\\frac{2}{8} - 16)",
["typ"] = "krat" },
["render"] = "-17 + (-8 \\cdot 2\\frac{5}{11} \\cdot (3\\frac{2}{8} - 16))",
["typ"] = "plus" },
["render"] = "(-17 + (-8 \\cdot 2\\frac{5}{11} \\cdot (3\\frac{2}{8} - 16)))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-17 + (-8 \\cdot 2\\frac{5}{11} \\cdot (3\\frac{2}{8} - 16)))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.79, bodu=190, $$3\frac{1}{9} - (2\frac{2}{5} + (-16 \cdot -13)) - (3\frac{3}{5} + 3\frac{3}{9} + (-8))=\textcolor{white}{-206\frac{2}{9}}$$return {
["body"] = 190,
["id"] = "Y88EGc_0418_1526",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -206.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1856,
["jmenovatel"] = 9 },
["render"] = "\\frac{-139200}{675}",
["typ"] = "cislo" },
["tex"] = "-206\\frac{2}{9}",
["x"] = -206,
["y"] = 2,
["z"] = 9 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -13",
["typ"] = "krat" },
["render"] = "2\\frac{2}{5} + (-16 \\cdot -13)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{5} + (-16 \\cdot -13))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{9} - (2\\frac{2}{5} + (-16 \\cdot -13))",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + 3\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + 3\\frac{3}{9} + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{5} + 3\\frac{3}{9} + (-8))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{9} - (2\\frac{2}{5} + (-16 \\cdot -13)) - (3\\frac{3}{5} + 3\\frac{3}{9} + (-8))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.8, bodu=227, $$\frac{3\frac{5}{7}}{1\frac{5}{9} \cdot 1\frac{3}{5}} \cdot (4\frac{5}{8} - \frac{4\frac{2}{7}}{17})=\textcolor{white}{6\frac{196251}{373184}}$$return {
["body"] = 227,
["id"] = "LxEHxl_0418_1526",
["obtiznost"] = 1.8,
["reseni"] = {
["float"] = 6.5258826744984,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2435355,
["jmenovatel"] = 373184 },
["render"] = "\\frac{2435355}{373184}",
["typ"] = "cislo" },
["tex"] = "6\\frac{196251}{373184}",
["x"] = 6,
["y"] = 196251,
["z"] = 373184 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 1\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{7}}{1\\frac{5}{9} \\cdot 1\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{17}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{8} - \\frac{4\\frac{2}{7}}{17}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{8} - \\frac{4\\frac{2}{7}}{17})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{7}}{1\\frac{5}{9} \\cdot 1\\frac{3}{5}} \\cdot (4\\frac{5}{8} - \\frac{4\\frac{2}{7}}{17})",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.81, bodu=160, $$14 - (12 \cdot 8 + (-9) - (4\frac{3}{10} + 1\frac{5}{11} - 1\frac{4}{14}))=\textcolor{white}{-68\frac{409}{770}}$$return {
["body"] = 160,
["id"] = "lSs8iv_0418_1526",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -68.531168831169,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52769,
["jmenovatel"] = 770 },
["render"] = "\\frac{-52769}{770}",
["typ"] = "cislo" },
["tex"] = "-68\\frac{409}{770}",
["x"] = -68,
["y"] = 409,
["z"] = 770 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 8 + (-9)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 1\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "4\\frac{3}{10} + 1\\frac{5}{11} - 1\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{10} + 1\\frac{5}{11} - 1\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot 8 + (-9) - (4\\frac{3}{10} + 1\\frac{5}{11} - 1\\frac{4}{14})",
["typ"] = "minus" },
["render"] = "(12 \\cdot 8 + (-9) - (4\\frac{3}{10} + 1\\frac{5}{11} - 1\\frac{4}{14}))",
["typ"] = "zavorka" },
["render"] = "14 - (12 \\cdot 8 + (-9) - (4\\frac{3}{10} + 1\\frac{5}{11} - 1\\frac{4}{14}))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.82, bodu=102, $$\frac{-11}{14} - \frac{3\frac{5}{8}}{17} - 5 \cdot 10=\textcolor{white}{-50\frac{951}{952}}$$return {
["body"] = 102,
["id"] = "xF9j7n_0418_1526",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -50.998949579832,
["objekt"] = {
["hodnota"] = {
["citatel"] = -48551,
["jmenovatel"] = 952 },
["render"] = "\\frac{-48551}{952}",
["typ"] = "cislo" },
["tex"] = "-50\\frac{951}{952}",
["x"] = -50,
["y"] = 951,
["z"] = 952 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{14} - \\frac{3\\frac{5}{8}}{17}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{-11}{14} - \\frac{3\\frac{5}{8}}{17} - 5 \\cdot 10",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.83, bodu=163, $$-10 \cdot \frac{17}{1\frac{5}{13}} \cdot (2\frac{2}{5} - (4\frac{3}{7} - 17))=\textcolor{white}{-1838\frac{10}{63}}$$return {
["body"] = 163,
["id"] = "VSOJLJ_0418_1526",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -1838.1587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115804,
["jmenovatel"] = 63 },
["render"] = "\\frac{-579020}{315}",
["typ"] = "cislo" },
["tex"] = "-1838\\frac{10}{63}",
["x"] = -1838,
["y"] = 10,
["z"] = 63 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{1\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 17",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} - 17)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} - (4\\frac{3}{7} - 17)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{5} - (4\\frac{3}{7} - 17))",
["typ"] = "zavorka" },
["render"] = "\\frac{17}{1\\frac{5}{13}} \\cdot (2\\frac{2}{5} - (4\\frac{3}{7} - 17))",
["typ"] = "krat" },
["render"] = "-10 \\cdot \\frac{17}{1\\frac{5}{13}} \\cdot (2\\frac{2}{5} - (4\\frac{3}{7} - 17))",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.84, bodu=134, $$(4\frac{5}{13} + (-9) + (-17)) \cdot \frac{1\frac{4}{4} + 2\frac{1}{10}}{16 + 14}=\textcolor{white}{-2\frac{3721}{3900}}$$return {
["body"] = 134,
["id"] = "2SgROw_0418_1526",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -2.9541025641026,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11521,
["jmenovatel"] = 3900 },
["render"] = "\\frac{-11521}{3900}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3721}{3900}",
["x"] = -2,
["y"] = 3721,
["z"] = 3900 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + (-9) + (-17)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{13} + (-9) + (-17))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{4} + 2\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "16 + 14",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{4} + 2\\frac{1}{10}}{16 + 14}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{13} + (-9) + (-17)) \\cdot \\frac{1\\frac{4}{4} + 2\\frac{1}{10}}{16 + 14}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.85, bodu=135, $$\frac{\frac{2\frac{3}{9} - (-11) + 20 - 7}{2\frac{2}{3}}}{-15}=\textcolor{white}{-\frac{79}{120}}$$return {
["body"] = 135,
["id"] = "JCKMV0_0418_1526",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -0.65833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -79,
["jmenovatel"] = 120 },
["render"] = "\\frac{79}{-120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{79}{120}",
["y"] = -79,
["z"] = 120 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "20 - 7",
["typ"] = "minus" },
["render"] = "2\\frac{3}{9} - (-11) + 20 - 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} - (-11) + 20 - 7}{2\\frac{2}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{9} - (-11) + 20 - 7}{2\\frac{2}{3}}}{-15}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.86, bodu=276, $$(14 + 4\frac{4}{8} + 1\frac{3}{9}) \cdot 2\frac{4}{9} + 1\frac{2}{8} + 3\frac{2}{5} + 2\frac{3}{8} - (-17)=\textcolor{white}{72\frac{547}{1080}}$$return {
["body"] = 276,
["id"] = "b2RiqW_0418_1526",
["obtiznost"] = 2.06,
["reseni"] = {
["float"] = 72.506481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 78307,
["jmenovatel"] = 1080 },
["render"] = "\\frac{313228}{4320}",
["typ"] = "cislo" },
["tex"] = "72\\frac{547}{1080}",
["x"] = 72,
["y"] = 547,
["z"] = 1080 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "14 + 4\\frac{4}{8} + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(14 + 4\\frac{4}{8} + 1\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(14 + 4\\frac{4}{8} + 1\\frac{3}{9}) \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(14 + 4\\frac{4}{8} + 1\\frac{3}{9}) \\cdot 2\\frac{4}{9} + 1\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - (-17)",
["typ"] = "minus" },
["render"] = "3\\frac{2}{5} + 2\\frac{3}{8} - (-17)",
["typ"] = "plus" },
["render"] = "(14 + 4\\frac{4}{8} + 1\\frac{3}{9}) \\cdot 2\\frac{4}{9} + 1\\frac{2}{8} + 3\\frac{2}{5} + 2\\frac{3}{8} - (-17)",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.87, bodu=109, $$3 - (-15 - (3\frac{1}{7} + \frac{18}{(\frac{16}{16})^3}))=\textcolor{white}{39\frac{1}{7}}$$return {
["body"] = 109,
["id"] = "HflV6d_0418_1526",
["obtiznost"] = 1.0708,
["reseni"] = {
["float"] = 39.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 274,
["jmenovatel"] = 7 },
["render"] = "\\frac{274}{7}",
["typ"] = "cislo" },
["tex"] = "39\\frac{1}{7}",
["x"] = 39,
["y"] = 1,
["z"] = 7 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{16}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{16}{16})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{18}{(\\frac{16}{16})^3}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{7} + \\frac{18}{(\\frac{16}{16})^3}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{7} + \\frac{18}{(\\frac{16}{16})^3})",
["typ"] = "zavorka" },
["render"] = "-15 - (3\\frac{1}{7} + \\frac{18}{(\\frac{16}{16})^3})",
["typ"] = "minus" },
["render"] = "(-15 - (3\\frac{1}{7} + \\frac{18}{(\\frac{16}{16})^3}))",
["typ"] = "zavorka" },
["render"] = "3 - (-15 - (3\\frac{1}{7} + \\frac{18}{(\\frac{16}{16})^3}))",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.88, bodu=111, $$\frac{12 \cdot 7}{15} + \frac{4}{9} - 3\frac{3}{6}=\textcolor{white}{2\frac{49}{90}}$$return {
["body"] = 111,
["id"] = "NhWiX8_0418_1526",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 2.5444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 229,
["jmenovatel"] = 90 },
["render"] = "\\frac{229}{90}",
["typ"] = "cislo" },
["tex"] = "2\\frac{49}{90}",
["x"] = 2,
["y"] = 49,
["z"] = 90 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 7}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9} - 3\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot 7}{15} + \\frac{4}{9} - 3\\frac{3}{6}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.89, bodu=141, $$\frac{-12}{15} + (\frac{18}{2\frac{2}{4}} - (-18)) \cdot 1\frac{2}{8}=\textcolor{white}{30{,}7}$$return {
["body"] = 141,
["id"] = "iOvOft_0418_1526",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 30.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 10 },
["render"] = "\\frac{307}{10}",
["typ"] = "cislo" },
["tex"] = "30\\frac{7}{10}",
["tex_float"] = "30{,}7",
["x"] = 30,
["y"] = 7,
["z"] = 10 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{2}{4}} - (-18)",
["typ"] = "minus" },
["render"] = "(\\frac{18}{2\\frac{2}{4}} - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{18}{2\\frac{2}{4}} - (-18)) \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-12}{15} + (\\frac{18}{2\\frac{2}{4}} - (-18)) \\cdot 1\\frac{2}{8}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.9, bodu=143, $$-10 \cdot (3\frac{2}{7} + 10) \cdot \frac{-15}{\frac{2\frac{5}{13}}{-14}}=\textcolor{white}{-11700}$$return {
["body"] = 143,
["id"] = "N89JQS_0418_1526",
["obtiznost"] = 1.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -11700,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2538900}{217}",
["typ"] = "cislo" },
["tex"] = "-11700",
["tex_float"] = "-11700",
["x"] = -11700 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} + 10",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} + 10)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (3\\frac{2}{7} + 10)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{2\\frac{5}{13}}{-14}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot (3\\frac{2}{7} + 10) \\cdot \\frac{-15}{\\frac{2\\frac{5}{13}}{-14}}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.91, bodu=176, $$3\frac{1}{7} \cdot (13 - 3\frac{4}{10}) + \frac{13 - 4\frac{3}{12}}{-20}=\textcolor{white}{29\frac{411}{560}}$$return {
["body"] = 176,
["id"] = "2CUmVc_0418_1526",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 29.733928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16651,
["jmenovatel"] = 560 },
["render"] = "\\frac{16651}{560}",
["typ"] = "cislo" },
["tex"] = "29\\frac{411}{560}",
["x"] = 29,
["y"] = 411,
["z"] = 560 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(13 - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{7} \\cdot (13 - 3\\frac{4}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "13 - 4\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 4\\frac{3}{12}}{-20}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{7} \\cdot (13 - 3\\frac{4}{10}) + \\frac{13 - 4\\frac{3}{12}}{-20}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.92, bodu=146, $$\frac{-16 \cdot 13}{\frac{18}{4\frac{1}{6}}} \cdot 4\frac{2}{10}=\textcolor{white}{-202\frac{2}{9}}$$return {
["body"] = 146,
["id"] = "FHQcMx_0418_1526",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -202.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1820,
["jmenovatel"] = 9 },
["render"] = "\\frac{-27300}{135}",
["typ"] = "cislo" },
["tex"] = "-202\\frac{2}{9}",
["x"] = -202,
["y"] = 2,
["z"] = 9 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16 \\cdot 13}{\\frac{18}{4\\frac{1}{6}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 \\cdot 13}{\\frac{18}{4\\frac{1}{6}}} \\cdot 4\\frac{2}{10}",
["typ"] = "krat" } }
seed: rLx79YG3Rw8RY2OyRflI_0.93, bodu=214, $$3\frac{4}{11} + \frac{-14 \cdot \frac{2\frac{2}{11}}{3\frac{4}{15}}}{11} - 1\frac{1}{9}=\textcolor{white}{1\frac{3068}{7623}}$$return {
["body"] = 214,
["id"] = "Eww45X_0418_1526",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 1.402466220648,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10691,
["jmenovatel"] = 7623 },
["render"] = "\\frac{117601}{83853}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3068}{7623}",
["x"] = 1,
["y"] = 3068,
["z"] = 7623 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{11}}{3\\frac{4}{15}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{2\\frac{2}{11}}{3\\frac{4}{15}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot \\frac{2\\frac{2}{11}}{3\\frac{4}{15}}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot \\frac{2\\frac{2}{11}}{3\\frac{4}{15}}}{11} - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "3\\frac{4}{11} + \\frac{-14 \\cdot \\frac{2\\frac{2}{11}}{3\\frac{4}{15}}}{11} - 1\\frac{1}{9}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.94, bodu=149, $$\frac{3\frac{1}{5}}{-12 - (-14 \cdot (2\frac{3}{8} + (-5)))} - (-15)=\textcolor{white}{14\frac{911}{975}}$$return {
["body"] = 149,
["id"] = "WJoQSW_0418_1526",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 14.934358974359,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14561,
["jmenovatel"] = 975 },
["render"] = "\\frac{14561}{975}",
["typ"] = "cislo" },
["tex"] = "14\\frac{911}{975}",
["x"] = 14,
["y"] = 911,
["z"] = 975 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + (-5)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} + (-5))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (2\\frac{3}{8} + (-5))",
["typ"] = "krat" },
["render"] = "-12 - (-14 \\cdot (2\\frac{3}{8} + (-5)))",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{1}{5}}{-12 - (-14 \\cdot (2\\frac{3}{8} + (-5)))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{-12 - (-14 \\cdot (2\\frac{3}{8} + (-5)))} - (-15)",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.95, bodu=218, $$3\frac{1}{3} + \frac{19}{13} - 18 + 4\frac{3}{9} + 1\frac{3}{7} - 3\frac{1}{7}=\textcolor{white}{-10\frac{160}{273}}$$return {
["body"] = 218,
["id"] = "T5v0JD_0418_1526",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -10.586080586081,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2890,
["jmenovatel"] = 273 },
["render"] = "\\frac{-20230}{1911}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{160}{273}",
["x"] = -10,
["y"] = 160,
["z"] = 273 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{19}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{19}{13} - 18",
["typ"] = "minus" },
["render"] = "3\\frac{1}{3} + \\frac{19}{13} - 18",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "3\\frac{1}{3} + \\frac{19}{13} - 18 + 4\\frac{3}{9} + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + \\frac{19}{13} - 18 + 4\\frac{3}{9} + 1\\frac{3}{7} - 3\\frac{1}{7}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.96, bodu=295, $$4\frac{2}{5} \cdot 2\frac{3}{9} + \frac{2\frac{3}{7} - 2\frac{1}{4}}{1\frac{5}{12} - 4\frac{5}{10}}=\textcolor{white}{10\frac{811}{3885}}$$return {
["body"] = 295,
["id"] = "sp0iGx_0418_1526",
["obtiznost"] = 2.16,
["reseni"] = {
["float"] = 10.208751608752,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39661,
["jmenovatel"] = 3885 },
["render"] = "\\frac{39661}{3885}",
["typ"] = "cislo" },
["tex"] = "10\\frac{811}{3885}",
["x"] = 10,
["y"] = 811,
["z"] = 3885 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot 2\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 2\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{7} - 2\\frac{1}{4}}{1\\frac{5}{12} - 4\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{5} \\cdot 2\\frac{3}{9} + \\frac{2\\frac{3}{7} - 2\\frac{1}{4}}{1\\frac{5}{12} - 4\\frac{5}{10}}",
["typ"] = "plus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.97, bodu=123, $$10 \cdot -18 - \frac{13}{-21 - (4\frac{3}{11} - (-13))}=\textcolor{white}{-179\frac{278}{421}}$$return {
["body"] = 123,
["id"] = "nMbGM1_0418_1526",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -179.66033254157,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75637,
["jmenovatel"] = 421 },
["render"] = "\\frac{-75637}{421}",
["typ"] = "cislo" },
["tex"] = "-179\\frac{278}{421}",
["x"] = -179,
["y"] = 278,
["z"] = 421 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "10 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} - (-13)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{11} - (-13))",
["typ"] = "zavorka" },
["render"] = "-21 - (4\\frac{3}{11} - (-13))",
["typ"] = "minus" },
["render"] = "\\frac{13}{-21 - (4\\frac{3}{11} - (-13))}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot -18 - \\frac{13}{-21 - (4\\frac{3}{11} - (-13))}",
["typ"] = "minus" } }
seed: rLx79YG3Rw8RY2OyRflI_0.98, bodu=223, $$\frac{2\frac{5}{7} + 4\frac{1}{7} + 13}{19 \cdot \frac{15 - 2\frac{4}{12}}{2\frac{2}{10}}}=\textcolor{white}{\frac{4587}{25270}}$$return {
["body"] = 223,
["id"] = "1n1a02_0418_1526",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = 0.1815195884448,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4587,
["jmenovatel"] = 25270 },
["render"] = "\\frac{4587}{25270}",
["typ"] = "cislo" },
["tex"] = "\\frac{4587}{25270}",
["y"] = 4587,
["z"] = 25270 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 13",
["typ"] = "plus" },
["render"] = "2\\frac{5}{7} + 4\\frac{1}{7} + 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{15 - 2\\frac{4}{12}}{2\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "19 \\cdot \\frac{15 - 2\\frac{4}{12}}{2\\frac{2}{10}}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{5}{7} + 4\\frac{1}{7} + 13}{19 \\cdot \\frac{15 - 2\\frac{4}{12}}{2\\frac{2}{10}}}",
["typ"] = "lomeno" } }
seed: rLx79YG3Rw8RY2OyRflI_0.99, bodu=225, $$\frac{\frac{4\frac{2}{11}}{3\frac{3}{13}}}{2\frac{2}{9}} - (3\frac{5}{11} \cdot -12 + (-14))=\textcolor{white}{56\frac{57}{1540}}$$return {
["body"] = 225,
["id"] = "DCK9L3_0418_1526",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 56.037012987013,
["objekt"] = {
["hodnota"] = {
["citatel"] = 86297,
["jmenovatel"] = 1540 },
["render"] = "\\frac{949267}{16940}",
["typ"] = "cislo" },
["tex"] = "56\\frac{57}{1540}",
["x"] = 56,
["y"] = 57,
["z"] = 1540 },
["seed"] = "rLx79YG3Rw8RY2OyRflI_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{3\\frac{3}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{11}}{3\\frac{3}{13}}}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -12 + (-14)",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} \\cdot -12 + (-14))",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{4\\frac{2}{11}}{3\\frac{3}{13}}}{2\\frac{2}{9}} - (3\\frac{5}{11} \\cdot -12 + (-14))",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
bounce1.gif: 
celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 