- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 41YgoCLLBZwayt1qKVWL_0, bodu=5, $$5 + (7 - 9)^4 \cdot 6=\textcolor{white}{101}$$return {
["body"] = 5,
["id"] = "yqn1KL_1213_1919",
["obtiznost"] = 0.0068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 1 },
["render"] = "\\frac{101}{1}",
["typ"] = "cislo" },
["tex"] = "101",
["x"] = 101 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(7 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 - 9)^4 \\cdot 6",
["typ"] = "krat" },
["render"] = "5 + (7 - 9)^4 \\cdot 6",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.01, bodu=5, $$9 \cdot (7 - (8 - 6))^2=\textcolor{white}{225}$$return {
["body"] = 5,
["id"] = "UX4ziM_1213_1919",
["obtiznost"] = 0.0204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 1 },
["render"] = "\\frac{225}{1}",
["typ"] = "cislo" },
["tex"] = "225",
["x"] = 225 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(8 - 6)",
["typ"] = "zavorka" },
["render"] = "7 - (8 - 6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (8 - 6))^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (7 - (8 - 6))^2",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.02, bodu=5, $$7 - 4 \cdot 5 - 11=\textcolor{white}{-24}$$return {
["body"] = 5,
["id"] = "mfT3Ms_1213_1919",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "\\frac{-24}{1}",
["typ"] = "cislo" },
["tex"] = "-24",
["tex_float"] = "-24",
["x"] = -24 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["render"] = "7 - 4 \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 4 \\cdot 5 - 11",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.03, bodu=5, $$-5 \cdot 6 \cdot -6=\textcolor{white}{180}$$return {
["body"] = 5,
["id"] = "EnK7s9_1213_1919",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["x"] = 180 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -6",
["typ"] = "krat" },
["render"] = "-5 \\cdot 6 \\cdot -6",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.04, bodu=5, $$8 + 8 \cdot 10 + 6=\textcolor{white}{94}$$return {
["body"] = 5,
["id"] = "Kx43IT_1213_1919",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 94,
["jmenovatel"] = 1 },
["render"] = "\\frac{94}{1}",
["typ"] = "cislo" },
["tex"] = "94",
["tex_float"] = "94",
["x"] = 94 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10 + 6",
["typ"] = "plus" },
["render"] = "8 + 8 \\cdot 10 + 6",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.05, bodu=11, $$\frac{4 \cdot 5}{(2 - 6)^3}=\textcolor{white}{-\frac{5}{16}}$$return {
["body"] = 11,
["id"] = "ViM3Nx_1213_1919",
["obtiznost"] = 0.076,
["reseni"] = {
["float"] = -0.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 16 },
["render"] = "\\frac{20}{-64}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{16}",
["y"] = -5,
["z"] = 16 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2 - 6)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4 \\cdot 5}{(2 - 6)^3}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.06, bodu=5, $$9 + (-6 + (-4)) - (7 + 5)=\textcolor{white}{-13}$$return {
["body"] = 5,
["id"] = "yckOxu_1213_1919",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["tex_float"] = "-13",
["x"] = -13 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-6 + (-4)",
["typ"] = "plus" },
["render"] = "9 + (-6 + (-4))",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "(7 + 5)",
["typ"] = "zavorka" },
["render"] = "9 + (-6 + (-4)) - (7 + 5)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.07, bodu=11, $$\frac{8 + 7}{5 - 10}=\textcolor{white}{-3}$$return {
["body"] = 11,
["id"] = "12RYNL_1213_1919",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{15}{-5}",
["typ"] = "cislo" },
["tex"] = "-3",
["tex_float"] = "-3",
["x"] = -3 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["render"] = "\\frac{8 + 7}{5 - 10}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.08, bodu=12, $$\frac{9 - 4}{6 \cdot 10}=\textcolor{white}{\frac{1}{12}}$$return {
["body"] = 12,
["id"] = "GT7hkp_1213_1919",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.083333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 12 },
["render"] = "\\frac{5}{60}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{12}",
["y"] = 1,
["z"] = 12 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{9 - 4}{6 \\cdot 10}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.09, bodu=15, $$(\frac{-5 + 2}{5})^3 + (-4)=\textcolor{white}{-4{,}216}$$return {
["body"] = 15,
["id"] = "agxjp3_1213_1919",
["obtiznost"] = 0.1508,
["reseni"] = {
["float"] = -4.216,
["objekt"] = {
["hodnota"] = {
["citatel"] = -527,
["jmenovatel"] = 125 },
["render"] = "\\frac{-527}{125}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{27}{125}",
["tex_float"] = "-4{,}216",
["x"] = -4,
["y"] = 27,
["z"] = 125 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-5 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-5 + 2}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-5 + 2}{5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(\\frac{-5 + 2}{5})^3 + (-4)",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.1, bodu=12, $$4 - (6 - \frac{-2}{4})=\textcolor{white}{-2{,}5}$$return {
["body"] = 12,
["id"] = "zaQGS2_1213_1919",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -2.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 2 },
["render"] = "\\frac{-5}{2}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{2}",
["tex_float"] = "-2{,}5",
["x"] = -2,
["y"] = 1,
["z"] = 2 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{4}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{-2}{4}",
["typ"] = "minus" },
["render"] = "(6 - \\frac{-2}{4})",
["typ"] = "zavorka" },
["render"] = "4 - (6 - \\frac{-2}{4})",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.11, bodu=13, $$\frac{(\frac{-4}{6})^3}{9}=\textcolor{white}{-\frac{8}{243}}$$return {
["body"] = 13,
["id"] = "6zG8gb_1213_1919",
["obtiznost"] = 0.124,
["reseni"] = {
["float"] = -0.032921810699588,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 243 },
["render"] = "\\frac{-8}{243}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{243}",
["y"] = -8,
["z"] = 243 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-4}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-4}{6})^3}{9}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.12, bodu=21, $$\frac{(\frac{6 - 10}{-3})^4}{4}=\textcolor{white}{\frac{64}{81}}$$return {
["body"] = 21,
["id"] = "LQEUbn_1213_1919",
["obtiznost"] = 0.2548,
["reseni"] = {
["float"] = 0.79012345679012,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 81 },
["render"] = "\\frac{256}{324}",
["typ"] = "cislo" },
["tex"] = "\\frac{64}{81}",
["y"] = 64,
["z"] = 81 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{6 - 10}{-3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6 - 10}{-3})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{6 - 10}{-3})^4}{4}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.13, bodu=7, $$(11 - 8)^2 + 11 - (-6)=\textcolor{white}{26}$$return {
["body"] = 7,
["id"] = "3nFWjh_1213_1919",
["obtiznost"] = 0.134,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 1 },
["render"] = "\\frac{26}{1}",
["typ"] = "cislo" },
["tex"] = "26",
["x"] = 26 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(11 - 8)^2 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(11 - 8)^2 + 11 - (-6)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.14, bodu=14, $$\frac{\frac{-6}{10}}{7}=\textcolor{white}{-\frac{3}{35}}$$return {
["body"] = 14,
["id"] = "tpT2DL_1213_1919",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -0.085714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 35 },
["render"] = "\\frac{-3}{35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{35}",
["y"] = -3,
["z"] = 35 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{10}}{7}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.15, bodu=9, $$(8 - 3)^3 - 8 \cdot 3=\textcolor{white}{101}$$return {
["body"] = 9,
["id"] = "36ft9e_1213_1919",
["obtiznost"] = 0.2004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 1 },
["render"] = "\\frac{101}{1}",
["typ"] = "cislo" },
["tex"] = "101",
["x"] = 101 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3",
["typ"] = "krat" },
["render"] = "(8 - 3)^3 - 8 \\cdot 3",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.16, bodu=15, $$\frac{3 \cdot 11}{10}=\textcolor{white}{3{,}3}$$return {
["body"] = 15,
["id"] = "9fgzmx_1213_1919",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 3.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "\\frac{33}{10}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{10}",
["tex_float"] = "3{,}3",
["x"] = 3,
["y"] = 3,
["z"] = 10 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3 \\cdot 11}{10}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.17, bodu=48, $$4\frac{4}{8} \cdot -8 - (1\frac{3}{6} - 7)=\textcolor{white}{-30{,}5}$$return {
["body"] = 48,
["id"] = "FG89h8_1213_1919",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -30.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 2 },
["render"] = "\\frac{-61}{2}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1}{2}",
["tex_float"] = "-30{,}5",
["x"] = -30,
["y"] = 1,
["z"] = 2 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 7",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} - 7)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{8} \\cdot -8 - (1\\frac{3}{6} - 7)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.18, bodu=16, $$\frac{4}{9} - 5 - (-7)=\textcolor{white}{2\frac{4}{9}}$$return {
["body"] = 16,
["id"] = "5hwbw7_1213_1919",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 2.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "\\frac{22}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{9}",
["x"] = 2,
["y"] = 4,
["z"] = 9 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.18",
["zadani"] = {
["c1"] = {
["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"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9} - 5 - (-7)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.19, bodu=31, $$(3\frac{4}{8} - 8 - (-8)) \cdot 7=\textcolor{white}{24{,}5}$$return {
["body"] = 31,
["id"] = "0u3Hrv_1213_1919",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 24.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 2 },
["render"] = "\\frac{49}{2}",
["typ"] = "cislo" },
["tex"] = "24\\frac{1}{2}",
["tex_float"] = "24{,}5",
["x"] = 24,
["y"] = 1,
["z"] = 2 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.19",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 8 - (-8)",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{8} - 8 - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{8} - 8 - (-8)) \\cdot 7",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.2, bodu=23, $$(\frac{3 + 9 - (6 - 6)}{7})^2=\textcolor{white}{2\frac{46}{49}}$$return {
["body"] = 23,
["id"] = "9AsCuP_1213_1919",
["obtiznost"] = 0.2772,
["reseni"] = {
["float"] = 2.9387755102041,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 49 },
["render"] = "\\frac{144}{49}",
["typ"] = "cislo" },
["tex"] = "2\\frac{46}{49}",
["x"] = 2,
["y"] = 46,
["z"] = 49 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.2",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["render"] = "(6 - 6)",
["typ"] = "zavorka" },
["render"] = "9 - (6 - 6)",
["typ"] = "minus" },
["render"] = "3 + 9 - (6 - 6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3 + 9 - (6 - 6)}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3 + 9 - (6 - 6)}{7})^2",
["typ"] = "mocnina" } }
seed: 41YgoCLLBZwayt1qKVWL_0.21, bodu=18, $$\frac{-8 \cdot 11}{-7 + (-6) + 4}=\textcolor{white}{9\frac{7}{9}}$$return {
["body"] = 18,
["id"] = "xAqoZb_1213_1919",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 9.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 9 },
["render"] = "\\frac{-88}{-9}",
["typ"] = "cislo" },
["tex"] = "9\\frac{7}{9}",
["x"] = 9,
["y"] = 7,
["z"] = 9 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-7 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 + (-6) + 4",
["typ"] = "plus" },
["render"] = "\\frac{-8 \\cdot 11}{-7 + (-6) + 4}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.22, bodu=19, $$\frac{10 \cdot 9}{10} + 8=\textcolor{white}{17}$$return {
["body"] = 19,
["id"] = "yuFhaZ_1213_1919",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 9}{10} + 8",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.23, bodu=9, $$4 \cdot (10 + 4) \cdot -2=\textcolor{white}{-112}$$return {
["body"] = 9,
["id"] = "eSUBpS_1213_1919",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -112,
["jmenovatel"] = 1 },
["render"] = "\\frac{-112}{1}",
["typ"] = "cislo" },
["tex"] = "-112",
["x"] = -112 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 + 4",
["typ"] = "plus" },
["render"] = "(10 + 4)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (10 + 4)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "4 \\cdot (10 + 4) \\cdot -2",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.24, bodu=20, $$\frac{-3 \cdot 12}{6} - (-13)=\textcolor{white}{7}$$return {
["body"] = 20,
["id"] = "2I92jF_1213_1919",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "\\frac{7}{1}",
["typ"] = "cislo" },
["tex"] = "7",
["x"] = 7 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-3 \\cdot 12}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-3 \\cdot 12}{6} - (-13)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.25, bodu=37, $$(-6 + \frac{8}{6}) \cdot 1\frac{5}{8}=\textcolor{white}{-7\frac{7}{12}}$$return {
["body"] = 37,
["id"] = "wz5Q6N_1213_1919",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -7.5833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 12 },
["render"] = "\\frac{-182}{24}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{7}{12}",
["x"] = -7,
["y"] = 7,
["z"] = 12 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["render"] = "-6 + \\frac{8}{6}",
["typ"] = "plus" },
["render"] = "(-6 + \\frac{8}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(-6 + \\frac{8}{6}) \\cdot 1\\frac{5}{8}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.26, bodu=38, $$6 \cdot (1\frac{3}{6} - (13 - 8))=\textcolor{white}{-21}$$return {
["body"] = 38,
["id"] = "XWZzKE_1213_1919",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{2}",
["typ"] = "cislo" },
["tex"] = "-21",
["x"] = -21 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 - 8",
["typ"] = "minus" },
["render"] = "(13 - 8)",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{6} - (13 - 8)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} - (13 - 8))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (1\\frac{3}{6} - (13 - 8))",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.27, bodu=22, $$(-9 + (-12)) \cdot \frac{-11}{6}=\textcolor{white}{38{,}5}$$return {
["body"] = 22,
["id"] = "P69b9O_1213_1919",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 38.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 2 },
["render"] = "\\frac{231}{6}",
["typ"] = "cislo" },
["tex"] = "38\\frac{1}{2}",
["tex_float"] = "38{,}5",
["x"] = 38,
["y"] = 1,
["z"] = 2 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-9 + (-12)",
["typ"] = "plus" },
["render"] = "(-9 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{6}",
["typ"] = "lomeno" },
["render"] = "(-9 + (-12)) \\cdot \\frac{-11}{6}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.28, bodu=60, $$\frac{(-8 - (-8))^4}{1\frac{1}{7} \cdot 11 + 4\frac{3}{9}}=\textcolor{white}{0}$$return {
["body"] = 60,
["id"] = "ryHpvG_1213_1919",
["obtiznost"] = 0.6804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{355}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot 11 + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{(-8 - (-8))^4}{1\\frac{1}{7} \\cdot 11 + 4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.29, bodu=24, $$8 \cdot \frac{7 \cdot -4}{8}=\textcolor{white}{-28}$$return {
["body"] = 24,
["id"] = "iB39Lv_1213_1919",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 1 },
["render"] = "\\frac{-56}{2}",
["typ"] = "cislo" },
["tex"] = "-28",
["tex_float"] = "-28",
["x"] = -28 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -4}{8}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{7 \\cdot -4}{8}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.3, bodu=12, $$-11 - 9 - (-5 \cdot 11)=\textcolor{white}{35}$$return {
["body"] = 12,
["id"] = "h3pyct_1213_1919",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 1 },
["render"] = "\\frac{35}{1}",
["typ"] = "cislo" },
["tex"] = "35",
["tex_float"] = "35",
["x"] = 35 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 - 9",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "-11 - 9 - (-5 \\cdot 11)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.31, bodu=32, $$\frac{(9 - (-6))^2}{13 \cdot 11}=\textcolor{white}{1\frac{82}{143}}$$return {
["body"] = 32,
["id"] = "RcGZBe_1213_1919",
["obtiznost"] = 0.4004,
["reseni"] = {
["float"] = 1.5734265734266,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 143 },
["render"] = "\\frac{225}{143}",
["typ"] = "cislo" },
["tex"] = "1\\frac{82}{143}",
["x"] = 1,
["y"] = 82,
["z"] = 143 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (-6))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{(9 - (-6))^2}{13 \\cdot 11}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.32, bodu=26, $$\frac{(3 - 4)^3 \cdot 3 + 10}{-7}=\textcolor{white}{-1}$$return {
["body"] = 26,
["id"] = "Rmfuo0_1213_1919",
["obtiznost"] = 0.3208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{7}{-7}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(3 - 4)^3 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(3 - 4)^3 \\cdot 3 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(3 - 4)^3 \\cdot 3 + 10}{-7}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.33, bodu=48, $$(\frac{12}{-8})^4 \cdot 9 \cdot 4\frac{4}{6}=\textcolor{white}{212{,}625}$$return {
["body"] = 48,
["id"] = "0QmEqT_1213_1919",
["obtiznost"] = 0.5688,
["reseni"] = {
["float"] = 212.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1701,
["jmenovatel"] = 8 },
["render"] = "\\frac{3402}{16}",
["typ"] = "cislo" },
["tex"] = "212\\frac{5}{8}",
["tex_float"] = "212{,}625",
["x"] = 212,
["y"] = 5,
["z"] = 8 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{-8})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "(\\frac{12}{-8})^4 \\cdot 9 \\cdot 4\\frac{4}{6}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.34, bodu=14, $$6 \cdot (-8 + 6)^3 \cdot 13=\textcolor{white}{-624}$$return {
["body"] = 14,
["id"] = "cuTZze_1213_1919",
["obtiznost"] = 0.3436,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -624,
["jmenovatel"] = 1 },
["render"] = "\\frac{-624}{1}",
["typ"] = "cislo" },
["tex"] = "-624",
["tex_float"] = "-624",
["x"] = -624 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-8 + 6)^3 \\cdot 13",
["typ"] = "krat" },
["render"] = "6 \\cdot (-8 + 6)^3 \\cdot 13",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.35, bodu=74, $$\frac{4\frac{2}{4}}{(-8 - (2\frac{2}{7} + (-9)))^2} + 15=\textcolor{white}{17\frac{13}{18}}$$return {
["body"] = 74,
["id"] = "pbFEbN_1213_1919",
["obtiznost"] = 0.802,
["reseni"] = {
["float"] = 17.722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 319,
["jmenovatel"] = 18 },
["render"] = "\\frac{319}{18}",
["typ"] = "cislo" },
["tex"] = "17\\frac{13}{18}",
["x"] = 17,
["y"] = 13,
["z"] = 18 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + (-9)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{7} + (-9))",
["typ"] = "zavorka" },
["render"] = "-8 - (2\\frac{2}{7} + (-9))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - (2\\frac{2}{7} + (-9)))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{2}{4}}{(-8 - (2\\frac{2}{7} + (-9)))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{(-8 - (2\\frac{2}{7} + (-9)))^2} + 15",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.36, bodu=33, $$(\frac{-11}{11 - 13})^2 - 7=\textcolor{white}{23{,}25}$$return {
["body"] = 33,
["id"] = "TYuau3_1213_1919",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 23.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 4 },
["render"] = "\\frac{93}{4}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{4}",
["tex_float"] = "23{,}25",
["x"] = 23,
["y"] = 1,
["z"] = 4 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.36",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 - 13",
["typ"] = "minus" },
["render"] = "\\frac{-11}{11 - 13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{11 - 13})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{-11}{11 - 13})^2 - 7",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.37, bodu=15, $$(-5 + 10)^2 - (6 - (-11)) \cdot -9=\textcolor{white}{178}$$return {
["body"] = 15,
["id"] = "Sj21tO_1213_1919",
["obtiznost"] = 0.3804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 178,
["jmenovatel"] = 1 },
["render"] = "\\frac{178}{1}",
["typ"] = "cislo" },
["tex"] = "178",
["x"] = 178 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(6 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(6 - (-11)) \\cdot -9",
["typ"] = "krat" },
["render"] = "(-5 + 10)^2 - (6 - (-11)) \\cdot -9",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.38, bodu=31, $$\frac{(\frac{8}{8})^3}{11} + 9=\textcolor{white}{9\frac{1}{11}}$$return {
["body"] = 31,
["id"] = "BAWmmr_1213_1919",
["obtiznost"] = 0.3808,
["reseni"] = {
["float"] = 9.0909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 11 },
["render"] = "\\frac{100}{11}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{11}",
["x"] = 9,
["y"] = 1,
["z"] = 11 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8}{8})^3}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8}{8})^3}{11} + 9",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.39, bodu=73, $$8 + \frac{4\frac{5}{11}}{\frac{9}{3\frac{2}{5}}}=\textcolor{white}{9\frac{338}{495}}$$return {
["body"] = 73,
["id"] = "AosURC_1213_1919",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 9.6828282828283,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4793,
["jmenovatel"] = 495 },
["render"] = "\\frac{4793}{495}",
["typ"] = "cislo" },
["tex"] = "9\\frac{338}{495}",
["x"] = 9,
["y"] = 338,
["z"] = 495 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{9}{3\\frac{2}{5}}}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{4\\frac{5}{11}}{\\frac{9}{3\\frac{2}{5}}}",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.4, bodu=51, $$\frac{9}{10 - 3\frac{3}{6}} \cdot (-12 + 4)=\textcolor{white}{-11\frac{1}{13}}$$return {
["body"] = 51,
["id"] = "93SMRg_1213_1919",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -11.076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -144,
["jmenovatel"] = 13 },
["render"] = "\\frac{-144}{13}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1}{13}",
["x"] = -11,
["y"] = 1,
["z"] = 13 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{9}{10 - 3\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-12 + 4",
["typ"] = "plus" },
["render"] = "(-12 + 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{10 - 3\\frac{3}{6}} \\cdot (-12 + 4)",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.41, bodu=33, $$-7 \cdot (\frac{-9}{-10} - (-6 - 12))=\textcolor{white}{-132{,}3}$$return {
["body"] = 33,
["id"] = "VmG8ey_1213_1919",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -132.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1323,
["jmenovatel"] = 10 },
["render"] = "\\frac{-1323}{10}",
["typ"] = "cislo" },
["tex"] = "-132\\frac{3}{10}",
["tex_float"] = "-132{,}3",
["x"] = -132,
["y"] = 3,
["z"] = 10 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 - 12",
["typ"] = "minus" },
["render"] = "(-6 - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{-10} - (-6 - 12)",
["typ"] = "minus" },
["render"] = "(\\frac{-9}{-10} - (-6 - 12))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (\\frac{-9}{-10} - (-6 - 12))",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.42, bodu=53, $$\frac{\frac{8}{\frac{-10}{11}}}{3\frac{5}{9}}=\textcolor{white}{-2{,}475}$$return {
["body"] = 53,
["id"] = "akpb9X_1213_1919",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -2.475,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 40 },
["render"] = "\\frac{-396}{160}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{19}{40}",
["tex_float"] = "-2{,}475",
["x"] = -2,
["y"] = 19,
["z"] = 40 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{-10}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{\\frac{-10}{11}}}{3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.43, bodu=78, $$4\frac{4}{11} \cdot (\frac{-8 \cdot 4\frac{4}{7}}{-14} + 5)=\textcolor{white}{33\frac{117}{539}}$$return {
["body"] = 78,
["id"] = "8Ly3wU_1213_1919",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 33.21706864564,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17904,
["jmenovatel"] = 539 },
["render"] = "\\frac{17904}{539}",
["typ"] = "cislo" },
["tex"] = "33\\frac{117}{539}",
["x"] = 33,
["y"] = 117,
["z"] = 539 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 4\\frac{4}{7}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 4\\frac{4}{7}}{-14} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{-8 \\cdot 4\\frac{4}{7}}{-14} + 5)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{11} \\cdot (\\frac{-8 \\cdot 4\\frac{4}{7}}{-14} + 5)",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.44, bodu=58, $$9 + 8 + (3 \cdot 6 - 10)^2 + 1\frac{4}{10}=\textcolor{white}{82{,}4}$$return {
["body"] = 58,
["id"] = "ofcQJP_1213_1919",
["obtiznost"] = 0.666,
["reseni"] = {
["float"] = 82.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 412,
["jmenovatel"] = 5 },
["render"] = "\\frac{412}{5}",
["typ"] = "cislo" },
["tex"] = "82\\frac{2}{5}",
["tex_float"] = "82{,}4",
["x"] = 82,
["y"] = 2,
["z"] = 5 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 \\cdot 6 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 6 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(3 \\cdot 6 - 10)^2 + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "9 + 8 + (3 \\cdot 6 - 10)^2 + 1\\frac{4}{10}",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.45, bodu=80, $$8 \cdot (-10 \cdot 4\frac{1}{6} + 2\frac{1}{3} - 9)=\textcolor{white}{-386\frac{2}{3}}$$return {
["body"] = 80,
["id"] = "OX0KXw_1213_1919",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -386.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1160,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1160}{3}",
["typ"] = "cislo" },
["tex"] = "-386\\frac{2}{3}",
["x"] = -386,
["y"] = 2,
["z"] = 3 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - 9",
["typ"] = "minus" },
["render"] = "-10 \\cdot 4\\frac{1}{6} + 2\\frac{1}{3} - 9",
["typ"] = "plus" },
["render"] = "(-10 \\cdot 4\\frac{1}{6} + 2\\frac{1}{3} - 9)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-10 \\cdot 4\\frac{1}{6} + 2\\frac{1}{3} - 9)",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.46, bodu=58, $$15 - (-4 - (-9) - (13 + 8 - 2\frac{4}{8}))=\textcolor{white}{28{,}5}$$return {
["body"] = 58,
["id"] = "QwNbMn_1213_1919",
["obtiznost"] = 0.66,
["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"] = "41YgoCLLBZwayt1qKVWL_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-4 - (-9)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "13 + 8 - 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(13 + 8 - 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "-4 - (-9) - (13 + 8 - 2\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "(-4 - (-9) - (13 + 8 - 2\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "15 - (-4 - (-9) - (13 + 8 - 2\\frac{4}{8}))",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.47, bodu=83, $$(-16 - 1\frac{1}{9}) \cdot (-11 + \frac{9}{9 + 1\frac{5}{7}})=\textcolor{white}{173\frac{191}{225}}$$return {
["body"] = 83,
["id"] = "pK3YKN_1213_1919",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 173.84888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39116,
["jmenovatel"] = 225 },
["render"] = "\\frac{39116}{225}",
["typ"] = "cislo" },
["tex"] = "173\\frac{191}{225}",
["x"] = 173,
["y"] = 191,
["z"] = 225 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-16 - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(-16 - 1\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "\\frac{9}{9 + 1\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{9}{9 + 1\\frac{5}{7}}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{9}{9 + 1\\frac{5}{7}})",
["typ"] = "zavorka" },
["render"] = "(-16 - 1\\frac{1}{9}) \\cdot (-11 + \\frac{9}{9 + 1\\frac{5}{7}})",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.48, bodu=68, $$(12 + (-13 + 14))^2 \cdot -13 \cdot 4\frac{2}{9}=\textcolor{white}{-9276\frac{2}{9}}$$return {
["body"] = 68,
["id"] = "nbid9X_1213_1919",
["obtiznost"] = 0.748,
["reseni"] = {
["float"] = -9276.2222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83486,
["jmenovatel"] = 9 },
["render"] = "\\frac{-83486}{9}",
["typ"] = "cislo" },
["tex"] = "-9276\\frac{2}{9}",
["x"] = -9276,
["y"] = 2,
["z"] = 9 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-13 + 14",
["typ"] = "plus" },
["render"] = "12 + (-13 + 14)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + (-13 + 14))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "(12 + (-13 + 14))^2 \\cdot -13 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.49, bodu=66, $$\frac{(\frac{-7}{8})^2}{\frac{-4}{3\frac{4}{8}}}=\textcolor{white}{-\frac{343}{512}}$$return {
["body"] = 66,
["id"] = "wv4orp_1213_1919",
["obtiznost"] = 0.7352,
["reseni"] = {
["float"] = -0.669921875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 512 },
["render"] = "\\frac{343}{-512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{343}{512}",
["y"] = -343,
["z"] = 512 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.49",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{-7}{8})^2}{\\frac{-4}{3\\frac{4}{8}}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.5, bodu=86, $$\frac{1\frac{5}{11} + 6}{(16 + 9) \cdot (2\frac{5}{8} - (-9))}=\textcolor{white}{\frac{656}{25575}}$$return {
["body"] = 86,
["id"] = "xPcaHB_1213_1919",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 0.025650048875855,
["objekt"] = {
["hodnota"] = {
["citatel"] = 656,
["jmenovatel"] = 25575 },
["render"] = "\\frac{656}{25575}",
["typ"] = "cislo" },
["tex"] = "\\frac{656}{25575}",
["y"] = 656,
["z"] = 25575 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "16 + 9",
["typ"] = "plus" },
["render"] = "(16 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - (-9)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - (-9))",
["typ"] = "zavorka" },
["render"] = "(16 + 9) \\cdot (2\\frac{5}{8} - (-9))",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{11} + 6}{(16 + 9) \\cdot (2\\frac{5}{8} - (-9))}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.51, bodu=63, $$\frac{2\frac{1}{5}}{\frac{-13 \cdot 6}{12 + 11}}=\textcolor{white}{-\frac{253}{390}}$$return {
["body"] = 63,
["id"] = "5WQopb_1213_1919",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -0.64871794871795,
["objekt"] = {
["hodnota"] = {
["citatel"] = -253,
["jmenovatel"] = 390 },
["render"] = "\\frac{253}{-390}",
["typ"] = "cislo" },
["tex"] = "-\\frac{253}{390}",
["y"] = -253,
["z"] = 390 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 + 11",
["typ"] = "plus" },
["render"] = "\\frac{-13 \\cdot 6}{12 + 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{5}}{\\frac{-13 \\cdot 6}{12 + 11}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.52, bodu=146, $$3\frac{2}{5} - \frac{3\frac{4}{7}}{(4\frac{2}{4} + 16) \cdot 3\frac{5}{10}}=\textcolor{white}{3\frac{3518}{10045}}$$return {
["body"] = 146,
["id"] = "andb4R_1213_1919",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 3.3502239920358,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33653,
["jmenovatel"] = 10045 },
["render"] = "\\frac{33653}{10045}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3518}{10045}",
["x"] = 3,
["y"] = 3518,
["z"] = 10045 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} + 16",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{4} + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{4} + 16) \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{7}}{(4\\frac{2}{4} + 16) \\cdot 3\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{5} - \\frac{3\\frac{4}{7}}{(4\\frac{2}{4} + 16) \\cdot 3\\frac{5}{10}}",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.53, bodu=102, $$((5 - (7 - (-8))) \cdot (1\frac{4}{8} - 2\frac{2}{8}))^2=\textcolor{white}{56{,}25}$$return {
["body"] = 102,
["id"] = "de0dY0_1213_1919",
["obtiznost"] = 1.0216,
["reseni"] = {
["float"] = 56.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 4 },
["render"] = "\\frac{225}{4}",
["typ"] = "cislo" },
["tex"] = "56\\frac{1}{4}",
["tex_float"] = "56{,}25",
["x"] = 56,
["y"] = 1,
["z"] = 4 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.53",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 - (-8)",
["typ"] = "minus" },
["render"] = "(7 - (-8))",
["typ"] = "zavorka" },
["render"] = "5 - (7 - (-8))",
["typ"] = "minus" },
["render"] = "(5 - (7 - (-8)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{8} - 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "(5 - (7 - (-8))) \\cdot (1\\frac{4}{8} - 2\\frac{2}{8})",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((5 - (7 - (-8))) \\cdot (1\\frac{4}{8} - 2\\frac{2}{8}))^2",
["typ"] = "mocnina" } }
seed: 41YgoCLLBZwayt1qKVWL_0.54, bodu=70, $$(-12 \cdot \frac{-8}{8} - 9 - 3\frac{5}{7})^2=\textcolor{white}{\frac{25}{49}}$$return {
["body"] = 70,
["id"] = "EYsGoC_1213_1919",
["obtiznost"] = 0.7696,
["reseni"] = {
["float"] = 0.51020408163265,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 49 },
["render"] = "\\frac{25}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{49}",
["y"] = 25,
["z"] = 49 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.54",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{-8}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 \\cdot \\frac{-8}{8} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot \\frac{-8}{8} - 9 - 3\\frac{5}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 \\cdot \\frac{-8}{8} - 9 - 3\\frac{5}{7})^2",
["typ"] = "mocnina" } }
seed: 41YgoCLLBZwayt1qKVWL_0.55, bodu=93, $$4\frac{5}{11} \cdot -6 - (13 - (3\frac{2}{6} + 6 + 7))=\textcolor{white}{-23\frac{13}{33}}$$return {
["body"] = 93,
["id"] = "yXHwqx_1213_1919",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -23.393939393939,
["objekt"] = {
["hodnota"] = {
["citatel"] = -772,
["jmenovatel"] = 33 },
["render"] = "\\frac{-772}{33}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{13}{33}",
["x"] = -23,
["y"] = 13,
["z"] = 33 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 6 + 7",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{6} + 6 + 7)",
["typ"] = "zavorka" },
["render"] = "13 - (3\\frac{2}{6} + 6 + 7)",
["typ"] = "minus" },
["render"] = "(13 - (3\\frac{2}{6} + 6 + 7))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{11} \\cdot -6 - (13 - (3\\frac{2}{6} + 6 + 7))",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.56, bodu=94, $$-8 + 4\frac{5}{12} + 3\frac{2}{5} + \frac{3}{10} - 7=\textcolor{white}{-6\frac{53}{60}}$$return {
["body"] = 94,
["id"] = "f51VSx_1213_1919",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -6.8833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -413,
["jmenovatel"] = 60 },
["render"] = "\\frac{-826}{120}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{53}{60}",
["x"] = -6,
["y"] = 53,
["z"] = 60 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{5} + \\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} + \\frac{3}{10} - 7",
["typ"] = "minus" },
["render"] = "-8 + 4\\frac{5}{12} + 3\\frac{2}{5} + \\frac{3}{10} - 7",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.57, bodu=70, $$-9 \cdot 8 \cdot 18 + 1\frac{5}{10} + (-12)=\textcolor{white}{-1306{,}5}$$return {
["body"] = 70,
["id"] = "nwEbnq_1213_1919",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -1306.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2613,
["jmenovatel"] = 2 },
["render"] = "\\frac{-2613}{2}",
["typ"] = "cislo" },
["tex"] = "-1306\\frac{1}{2}",
["tex_float"] = "-1306{,}5",
["x"] = -1306,
["y"] = 1,
["z"] = 2 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + (-12)",
["typ"] = "plus" },
["render"] = "-9 \\cdot 8 \\cdot 18 + 1\\frac{5}{10} + (-12)",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.58, bodu=49, $$\frac{9 + 10 - (-13)}{13 \cdot 16}=\textcolor{white}{\frac{2}{13}}$$return {
["body"] = 49,
["id"] = "ewpXYW_1213_1919",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 0.15384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 13 },
["render"] = "\\frac{32}{208}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{13}",
["y"] = 2,
["z"] = 13 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "10 - (-13)",
["typ"] = "minus" },
["render"] = "9 + 10 - (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "13 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{9 + 10 - (-13)}{13 \\cdot 16}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.59, bodu=114, $$\frac{(\frac{-9}{-14 \cdot -6})^2}{-10 + 3\frac{3}{7}}=\textcolor{white}{-\frac{9}{5152}}$$return {
["body"] = 114,
["id"] = "uD3Ouf_1213_1919",
["obtiznost"] = 1.1072,
["reseni"] = {
["float"] = -0.0017468944099379,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 5152 },
["render"] = "\\frac{63}{-36064}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{5152}",
["y"] = -9,
["z"] = 5152 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{-9}{-14 \\cdot -6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{-14 \\cdot -6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-9}{-14 \\cdot -6})^2}{-10 + 3\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.6, bodu=76, $$\frac{(8 - 15)^2 \cdot (10 - 9)}{2\frac{2}{9}}=\textcolor{white}{22{,}05}$$return {
["body"] = 76,
["id"] = "uedtgK_1213_1919",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 22.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 20 },
["render"] = "\\frac{441}{20}",
["typ"] = "cislo" },
["tex"] = "22\\frac{1}{20}",
["tex_float"] = "22{,}05",
["x"] = 22,
["y"] = 1,
["z"] = 20 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 - 15",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["render"] = "(10 - 9)",
["typ"] = "zavorka" },
["render"] = "(8 - 15)^2 \\cdot (10 - 9)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - 15)^2 \\cdot (10 - 9)}{2\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.61, bodu=75, $$(-11 - (-10)) \cdot \frac{11 \cdot -8}{18 + 3\frac{1}{7}}=\textcolor{white}{4\frac{6}{37}}$$return {
["body"] = 75,
["id"] = "3f9633_1213_1919",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 4.1621621621622,
["objekt"] = {
["hodnota"] = {
["citatel"] = 154,
["jmenovatel"] = 37 },
["render"] = "\\frac{154}{37}",
["typ"] = "cislo" },
["tex"] = "4\\frac{6}{37}",
["x"] = 4,
["y"] = 6,
["z"] = 37 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 - (-10)",
["typ"] = "minus" },
["render"] = "(-11 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{11 \\cdot -8}{18 + 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "(-11 - (-10)) \\cdot \\frac{11 \\cdot -8}{18 + 3\\frac{1}{7}}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.62, bodu=102, $$3\frac{2}{7} \cdot 13 \cdot \frac{-12 - 5}{3\frac{3}{10}}=\textcolor{white}{-220\frac{10}{231}}$$return {
["body"] = 102,
["id"] = "FPX8bS_1213_1919",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -220.04329004329,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50830,
["jmenovatel"] = 231 },
["render"] = "\\frac{-50830}{231}",
["typ"] = "cislo" },
["tex"] = "-220\\frac{10}{231}",
["x"] = -220,
["y"] = 10,
["z"] = 231 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-12 - 5}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{7} \\cdot 13 \\cdot \\frac{-12 - 5}{3\\frac{3}{10}}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.63, bodu=79, $$(\frac{-10}{15})^3 - (15 - ((12 + (-13))^4 + 1\frac{4}{6}))=\textcolor{white}{-12\frac{17}{27}}$$return {
["body"] = 79,
["id"] = "TraRSh_1213_1919",
["obtiznost"] = 0.8448,
["reseni"] = {
["float"] = -12.62962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -341,
["jmenovatel"] = 27 },
["render"] = "\\frac{-1023}{81}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{17}{27}",
["x"] = -12,
["y"] = 17,
["z"] = 27 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.63",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{15})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 + (-13))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(12 + (-13))^4 + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "((12 + (-13))^4 + 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "15 - ((12 + (-13))^4 + 1\\frac{4}{6})",
["typ"] = "minus" },
["render"] = "(15 - ((12 + (-13))^4 + 1\\frac{4}{6}))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-10}{15})^3 - (15 - ((12 + (-13))^4 + 1\\frac{4}{6}))",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.64, bodu=79, $$\frac{-7}{15 - 2\frac{3}{7}} + 8 + 12 \cdot 19=\textcolor{white}{235\frac{39}{88}}$$return {
["body"] = 79,
["id"] = "7afP9L_1213_1919",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 235.44318181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20719,
["jmenovatel"] = 88 },
["render"] = "\\frac{20719}{88}",
["typ"] = "cislo" },
["tex"] = "235\\frac{39}{88}",
["x"] = 235,
["y"] = 39,
["z"] = 88 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-7}{15 - 2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "12 \\cdot 19",
["typ"] = "krat" },
["render"] = "8 + 12 \\cdot 19",
["typ"] = "plus" },
["render"] = "\\frac{-7}{15 - 2\\frac{3}{7}} + 8 + 12 \\cdot 19",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.65, bodu=106, $$-20 - \frac{-13 \cdot 1\frac{1}{5} - 4\frac{2}{3}}{13}=\textcolor{white}{-18\frac{86}{195}}$$return {
["body"] = 106,
["id"] = "f76ozB_1213_1919",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -18.441025641026,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3596,
["jmenovatel"] = 195 },
["render"] = "\\frac{-3596}{195}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{86}{195}",
["x"] = -18,
["y"] = 86,
["z"] = 195 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 1\\frac{1}{5} - 4\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot 1\\frac{1}{5} - 4\\frac{2}{3}}{13}",
["typ"] = "lomeno" },
["render"] = "-20 - \\frac{-13 \\cdot 1\\frac{1}{5} - 4\\frac{2}{3}}{13}",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.66, bodu=118, $$\frac{(-6 - (-4))^4}{(\frac{1\frac{5}{6}}{4\frac{2}{5}})^2} \cdot 11=\textcolor{white}{1013{,}76}$$return {
["body"] = 118,
["id"] = "kLFnU5_1213_1919",
["obtiznost"] = 1.1344,
["reseni"] = {
["float"] = 1013.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25344,
["jmenovatel"] = 25 },
["render"] = "\\frac{25344}{25}",
["typ"] = "cislo" },
["tex"] = "1013\\frac{19}{25}",
["tex_float"] = "1013{,}76",
["x"] = 1013,
["y"] = 19,
["z"] = 25 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-6 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-6 - (-4))^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{5}{6}}{4\\frac{2}{5}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(-6 - (-4))^4}{(\\frac{1\\frac{5}{6}}{4\\frac{2}{5}})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 - (-4))^4}{(\\frac{1\\frac{5}{6}}{4\\frac{2}{5}})^2} \\cdot 11",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.67, bodu=138, $$-11 + 1\frac{1}{5} - \frac{-7 + \frac{4\frac{5}{10}}{8}}{2\frac{1}{4}}=\textcolor{white}{-6\frac{169}{180}}$$return {
["body"] = 138,
["id"] = "trwTap_1213_1919",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -6.9388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1249,
["jmenovatel"] = 180 },
["render"] = "\\frac{-1249}{180}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{169}{180}",
["x"] = -6,
["y"] = 169,
["z"] = 180 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-11 + 1\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{8}",
["typ"] = "lomeno" },
["render"] = "-7 + \\frac{4\\frac{5}{10}}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + \\frac{4\\frac{5}{10}}{8}}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "-11 + 1\\frac{1}{5} - \\frac{-7 + \\frac{4\\frac{5}{10}}{8}}{2\\frac{1}{4}}",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.68, bodu=84, $$-12 \cdot 16 \cdot -6 \cdot (4\frac{5}{8} + 9)=\textcolor{white}{15696}$$return {
["body"] = 84,
["id"] = "gnz08t_1213_1919",
["obtiznost"] = 0.88,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 15696,
["jmenovatel"] = 1 },
["render"] = "\\frac{125568}{8}",
["typ"] = "cislo" },
["tex"] = "15696",
["x"] = 15696 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-12 \\cdot 16 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + 9",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{8} + 9)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot 16 \\cdot -6 \\cdot (4\\frac{5}{8} + 9)",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.69, bodu=141, $$(5 - \frac{2\frac{5}{6}}{2\frac{5}{12}}) \cdot (9 + 4\frac{1}{3} \cdot 13)=\textcolor{white}{250\frac{2}{29}}$$return {
["body"] = 141,
["id"] = "CXxFwp_1213_1919",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 250.06896551724,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7252,
["jmenovatel"] = 29 },
["render"] = "\\frac{21756}{87}",
["typ"] = "cislo" },
["tex"] = "250\\frac{2}{29}",
["x"] = 250,
["y"] = 2,
["z"] = 29 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{2\\frac{5}{6}}{2\\frac{5}{12}}",
["typ"] = "minus" },
["render"] = "(5 - \\frac{2\\frac{5}{6}}{2\\frac{5}{12}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot 13",
["typ"] = "krat" },
["render"] = "9 + 4\\frac{1}{3} \\cdot 13",
["typ"] = "plus" },
["render"] = "(9 + 4\\frac{1}{3} \\cdot 13)",
["typ"] = "zavorka" },
["render"] = "(5 - \\frac{2\\frac{5}{6}}{2\\frac{5}{12}}) \\cdot (9 + 4\\frac{1}{3} \\cdot 13)",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.7, bodu=86, $$\frac{-17}{-5 - 3\frac{4}{8}} - (-13 + 15 \cdot -6)=\textcolor{white}{105}$$return {
["body"] = 86,
["id"] = "DOkcDA_1213_1919",
["obtiznost"] = 0.9,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 105,
["jmenovatel"] = 1 },
["render"] = "\\frac{105}{1}",
["typ"] = "cislo" },
["tex"] = "105",
["x"] = 105 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-5 - 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-17}{-5 - 3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "15 \\cdot -6",
["typ"] = "krat" },
["render"] = "-13 + 15 \\cdot -6",
["typ"] = "plus" },
["render"] = "(-13 + 15 \\cdot -6)",
["typ"] = "zavorka" },
["render"] = "\\frac{-17}{-5 - 3\\frac{4}{8}} - (-13 + 15 \\cdot -6)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.71, bodu=115, $$\frac{2\frac{1}{5}}{4\frac{2}{8}} - (-11) - (-10 \cdot -6)=\textcolor{white}{-48\frac{41}{85}}$$return {
["body"] = 115,
["id"] = "mrSyXQ_1213_1919",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -48.482352941176,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4121,
["jmenovatel"] = 85 },
["render"] = "\\frac{-4121}{85}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{41}{85}",
["x"] = -48,
["y"] = 41,
["z"] = 85 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{2}{8}} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{2}{8}} - (-11) - (-10 \\cdot -6)",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.72, bodu=178, $$4\frac{1}{9} \cdot -10 + 1\frac{5}{11} \cdot 4\frac{4}{9} - (8 + 3\frac{3}{11})=\textcolor{white}{-45\frac{91}{99}}$$return {
["body"] = 178,
["id"] = "YHuu52_1213_1919",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -45.919191919192,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4546,
["jmenovatel"] = 99 },
["render"] = "\\frac{-40914}{891}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{91}{99}",
["x"] = -45,
["y"] = 91,
["z"] = 99 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(8 + 3\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} \\cdot 4\\frac{4}{9} - (8 + 3\\frac{3}{11})",
["typ"] = "minus" },
["render"] = "4\\frac{1}{9} \\cdot -10 + 1\\frac{5}{11} \\cdot 4\\frac{4}{9} - (8 + 3\\frac{3}{11})",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.73, bodu=180, $$\frac{\frac{\frac{1\frac{4}{11}}{-13}}{2\frac{2}{7}}}{4\frac{4}{7}} + 1\frac{3}{10}=\textcolor{white}{1\frac{106149}{366080}}$$return {
["body"] = 180,
["id"] = "Kt4huy_1213_1919",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 1.2899612106643,
["objekt"] = {
["hodnota"] = {
["citatel"] = 472229,
["jmenovatel"] = 366080 },
["render"] = "\\frac{944458}{732160}",
["typ"] = "cislo" },
["tex"] = "1\\frac{106149}{366080}",
["x"] = 1,
["y"] = 106149,
["z"] = 366080 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{11}}{-13}}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{4}{11}}{-13}}{2\\frac{2}{7}}}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{4}{11}}{-13}}{2\\frac{2}{7}}}{4\\frac{4}{7}} + 1\\frac{3}{10}",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.74, bodu=149, $$(1\frac{3}{6} + 14) \cdot (-13 \cdot 1\frac{1}{5} + (-14 \cdot 4\frac{4}{10}))=\textcolor{white}{-1196{,}6}$$return {
["body"] = 149,
["id"] = "V4Qerq_1213_1919",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -1196.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5983,
["jmenovatel"] = 5 },
["render"] = "\\frac{-11966}{10}",
["typ"] = "cislo" },
["tex"] = "-1196\\frac{3}{5}",
["tex_float"] = "-1196{,}6",
["x"] = -1196,
["y"] = 3,
["z"] = 5 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 14",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{6} + 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "-13 \\cdot 1\\frac{1}{5} + (-14 \\cdot 4\\frac{4}{10})",
["typ"] = "plus" },
["render"] = "(-13 \\cdot 1\\frac{1}{5} + (-14 \\cdot 4\\frac{4}{10}))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{6} + 14) \\cdot (-13 \\cdot 1\\frac{1}{5} + (-14 \\cdot 4\\frac{4}{10}))",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.75, bodu=151, $$3\frac{5}{10} + 8 - (-17) - (2\frac{3}{12} \cdot 2\frac{4}{10} + (-21))=\textcolor{white}{44{,}1}$$return {
["body"] = 151,
["id"] = "IVBdci_1213_1919",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 44.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 10 },
["render"] = "\\frac{441}{10}",
["typ"] = "cislo" },
["tex"] = "44\\frac{1}{10}",
["tex_float"] = "44{,}1",
["x"] = 44,
["y"] = 1,
["z"] = 10 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "8 - (-17)",
["typ"] = "minus" },
["render"] = "3\\frac{5}{10} + 8 - (-17)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot 2\\frac{4}{10} + (-21)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{12} \\cdot 2\\frac{4}{10} + (-21))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{10} + 8 - (-17) - (2\\frac{3}{12} \\cdot 2\\frac{4}{10} + (-21))",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.76, bodu=94, $$\frac{(4\frac{1}{4} \cdot 15 - 17) \cdot -10}{12}=\textcolor{white}{-38\frac{23}{24}}$$return {
["body"] = 94,
["id"] = "Lmuxd6_1213_1919",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -38.958333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -935,
["jmenovatel"] = 24 },
["render"] = "\\frac{-935}{24}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{23}{24}",
["x"] = -38,
["y"] = 23,
["z"] = 24 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 15 - 17",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{4} \\cdot 15 - 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{4} \\cdot 15 - 17) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{1}{4} \\cdot 15 - 17) \\cdot -10}{12}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.77, bodu=129, $$(((-17 + 18)^4 \cdot 1\frac{2}{6})^3 - (3\frac{2}{8} - 14)) \cdot 14=\textcolor{white}{183\frac{37}{54}}$$return {
["body"] = 129,
["id"] = "B0l2DL_1213_1919",
["obtiznost"] = 1.2072,
["reseni"] = {
["float"] = 183.68518518519,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9919,
["jmenovatel"] = 54 },
["render"] = "\\frac{19838}{108}",
["typ"] = "cislo" },
["tex"] = "183\\frac{37}{54}",
["x"] = 183,
["y"] = 37,
["z"] = 54 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-17 + 18",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-17 + 18)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(-17 + 18)^4 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((-17 + 18)^4 \\cdot 1\\frac{2}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 14)",
["typ"] = "zavorka" },
["render"] = "((-17 + 18)^4 \\cdot 1\\frac{2}{6})^3 - (3\\frac{2}{8} - 14)",
["typ"] = "minus" },
["render"] = "(((-17 + 18)^4 \\cdot 1\\frac{2}{6})^3 - (3\\frac{2}{8} - 14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(((-17 + 18)^4 \\cdot 1\\frac{2}{6})^3 - (3\\frac{2}{8} - 14)) \\cdot 14",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.78, bodu=188, $$(1\frac{5}{11} - 3\frac{4}{6}) \cdot (3\frac{4}{8} + (-5 + \frac{-9}{4\frac{2}{7}}))=\textcolor{white}{7\frac{53}{55}}$$return {
["body"] = 188,
["id"] = "dhtWg4_1213_1919",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 7.9636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 438,
["jmenovatel"] = 55 },
["render"] = "\\frac{1314}{165}",
["typ"] = "cislo" },
["tex"] = "7\\frac{53}{55}",
["x"] = 7,
["y"] = 53,
["z"] = 55 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 3\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{11} - 3\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-5 + \\frac{-9}{4\\frac{2}{7}}",
["typ"] = "plus" },
["render"] = "3\\frac{4}{8} + (-5 + \\frac{-9}{4\\frac{2}{7}})",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} + (-5 + \\frac{-9}{4\\frac{2}{7}}))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{11} - 3\\frac{4}{6}) \\cdot (3\\frac{4}{8} + (-5 + \\frac{-9}{4\\frac{2}{7}}))",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.79, bodu=98, $$\frac{17}{14} \cdot 17 + \frac{1\frac{4}{4}}{3\frac{4}{10}}=\textcolor{white}{21\frac{55}{238}}$$return {
["body"] = 98,
["id"] = "DQ8MT2_1213_1919",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 21.231092436975,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5053,
["jmenovatel"] = 238 },
["render"] = "\\frac{5053}{238}",
["typ"] = "cislo" },
["tex"] = "21\\frac{55}{238}",
["x"] = 21,
["y"] = 55,
["z"] = 238 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{17}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{17}{14} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{4}}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{14} \\cdot 17 + \\frac{1\\frac{4}{4}}{3\\frac{4}{10}}",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.8, bodu=192, $$\frac{4\frac{4}{14} - 3\frac{2}{7} + \frac{4\frac{3}{8}}{7}}{\frac{1\frac{2}{10}}{-10} + 10}=\textcolor{white}{\frac{25}{152}}$$return {
["body"] = 192,
["id"] = "igEjYs_1213_1919",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 0.16447368421053,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 152 },
["render"] = "\\frac{325}{1976}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{152}",
["y"] = 25,
["z"] = 152 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{14} - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{7}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{14} - 3\\frac{2}{7} + \\frac{4\\frac{3}{8}}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{10}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{10}}{-10} + 10",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{14} - 3\\frac{2}{7} + \\frac{4\\frac{3}{8}}{7}}{\\frac{1\\frac{2}{10}}{-10} + 10}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.81, bodu=101, $$12 \cdot 15 - 4 \cdot 1\frac{3}{9} - (-4 + (-12))=\textcolor{white}{190\frac{2}{3}}$$return {
["body"] = 101,
["id"] = "KNjsnd_1213_1919",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 190.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 572,
["jmenovatel"] = 3 },
["render"] = "\\frac{572}{3}",
["typ"] = "cislo" },
["tex"] = "190\\frac{2}{3}",
["x"] = 190,
["y"] = 2,
["z"] = 3 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 1\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "12 \\cdot 15 - 4 \\cdot 1\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "12 \\cdot 15 - 4 \\cdot 1\\frac{3}{9} - (-4 + (-12))",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.82, bodu=162, $$\frac{1\frac{4}{6}}{\frac{3\frac{4}{9}}{-13} \cdot 1\frac{3}{10}} \cdot 15=\textcolor{white}{-72\frac{18}{31}}$$return {
["body"] = 162,
["id"] = "lM6lHn_1213_1919",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = -72.58064516129,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2250,
["jmenovatel"] = 31 },
["render"] = "\\frac{-2250}{31}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{18}{31}",
["x"] = -72,
["y"] = 18,
["z"] = 31 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9}}{-13} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{6}}{\\frac{3\\frac{4}{9}}{-13} \\cdot 1\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{6}}{\\frac{3\\frac{4}{9}}{-13} \\cdot 1\\frac{3}{10}} \\cdot 15",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.83, bodu=163, $$\frac{1\frac{3}{9} + (-9 \cdot (15 + (-8)))}{2\frac{1}{6} \cdot 3\frac{2}{5} + 7}=\textcolor{white}{-4\frac{126}{431}}$$return {
["body"] = 163,
["id"] = "QAh8LT_1213_1919",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -4.292343387471,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1850,
["jmenovatel"] = 431 },
["render"] = "\\frac{-5550}{1293}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{126}{431}",
["x"] = -4,
["y"] = 126,
["z"] = 431 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "15 + (-8)",
["typ"] = "plus" },
["render"] = "(15 + (-8))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (15 + (-8))",
["typ"] = "krat" },
["render"] = "1\\frac{3}{9} + (-9 \\cdot (15 + (-8)))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} \\cdot 3\\frac{2}{5} + 7",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{9} + (-9 \\cdot (15 + (-8)))}{2\\frac{1}{6} \\cdot 3\\frac{2}{5} + 7}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.84, bodu=179, $$\frac{\frac{-16}{(\frac{-15}{9})^4 + 3\frac{4}{9}}}{1\frac{2}{8} - (-14)}=\textcolor{white}{-\frac{648}{6893}}$$return {
["body"] = 179,
["id"] = "2CIhzk_1213_1919",
["obtiznost"] = 1.5224,
["reseni"] = {
["float"] = -0.094008414333382,
["objekt"] = {
["hodnota"] = {
["citatel"] = -648,
["jmenovatel"] = 6893 },
["render"] = "\\frac{-648}{6893}",
["typ"] = "cislo" },
["tex"] = "-\\frac{648}{6893}",
["y"] = -648,
["z"] = 6893 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-15}{9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{-15}{9})^4 + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-16}{(\\frac{-15}{9})^4 + 3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "minus" },
["render"] = "\\frac{\\frac{-16}{(\\frac{-15}{9})^4 + 3\\frac{4}{9}}}{1\\frac{2}{8} - (-14)}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.85, bodu=167, $$\frac{3\frac{1}{4} + 9 + 4\frac{3}{9}}{\frac{22 \cdot 21}{3\frac{1}{5}}}=\textcolor{white}{\frac{398}{3465}}$$return {
["body"] = 167,
["id"] = "xzWciz_1213_1919",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 0.11486291486291,
["objekt"] = {
["hodnota"] = {
["citatel"] = 398,
["jmenovatel"] = 3465 },
["render"] = "\\frac{1592}{13860}",
["typ"] = "cislo" },
["tex"] = "\\frac{398}{3465}",
["y"] = 398,
["z"] = 3465 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "3\\frac{1}{4} + 9 + 4\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "22 \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{22 \\cdot 21}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{4} + 9 + 4\\frac{3}{9}}{\\frac{22 \\cdot 21}{3\\frac{1}{5}}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.86, bodu=202, $$\frac{3 - 1\frac{3}{6}}{1\frac{4}{5} \cdot -13 - \frac{1\frac{4}{12}}{4\frac{4}{5}}}=\textcolor{white}{-\frac{135}{2131}}$$return {
["body"] = 202,
["id"] = "Vfsmhq_1213_1919",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -0.063350539652745,
["objekt"] = {
["hodnota"] = {
["citatel"] = -135,
["jmenovatel"] = 2131 },
["render"] = "\\frac{270}{-4262}",
["typ"] = "cislo" },
["tex"] = "-\\frac{135}{2131}",
["y"] = -135,
["z"] = 2131 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3 - 1\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12}}{4\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{5} \\cdot -13 - \\frac{1\\frac{4}{12}}{4\\frac{4}{5}}",
["typ"] = "minus" },
["render"] = "\\frac{3 - 1\\frac{3}{6}}{1\\frac{4}{5} \\cdot -13 - \\frac{1\\frac{4}{12}}{4\\frac{4}{5}}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.87, bodu=109, $$(4 - (-16)) \cdot -13 \cdot \frac{3\frac{5}{8}}{11} \cdot -22=\textcolor{white}{1885}$$return {
["body"] = 109,
["id"] = "4yGEXb_1213_1919",
["obtiznost"] = 1.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1885,
["jmenovatel"] = 1 },
["render"] = "\\frac{7540}{4}",
["typ"] = "cislo" },
["tex"] = "1885",
["tex_float"] = "1885",
["x"] = 1885 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4 - (-16)",
["typ"] = "minus" },
["render"] = "(4 - (-16))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4 - (-16)) \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{11} \\cdot -22",
["typ"] = "krat" },
["render"] = "(4 - (-16)) \\cdot -13 \\cdot \\frac{3\\frac{5}{8}}{11} \\cdot -22",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.88, bodu=222, $$(-18 - 1\frac{4}{5}) \cdot (-16 - (16 - (-11))^2 - (3\frac{2}{5} + 4\frac{4}{14}))=\textcolor{white}{14903\frac{31}{175}}$$return {
["body"] = 222,
["id"] = "AfL7hL_1213_1919",
["obtiznost"] = 1.772,
["reseni"] = {
["float"] = 14903.177142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2608056,
["jmenovatel"] = 175 },
["render"] = "\\frac{2608056}{175}",
["typ"] = "cislo" },
["tex"] = "14903\\frac{31}{175}",
["x"] = 14903,
["y"] = 31,
["z"] = 175 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-18 - 1\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "(-18 - 1\\frac{4}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(16 - (-11))^2",
["typ"] = "mocnina" },
["render"] = "-16 - (16 - (-11))^2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} + 4\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{5} + 4\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "-16 - (16 - (-11))^2 - (3\\frac{2}{5} + 4\\frac{4}{14})",
["typ"] = "minus" },
["render"] = "(-16 - (16 - (-11))^2 - (3\\frac{2}{5} + 4\\frac{4}{14}))",
["typ"] = "zavorka" },
["render"] = "(-18 - 1\\frac{4}{5}) \\cdot (-16 - (16 - (-11))^2 - (3\\frac{2}{5} + 4\\frac{4}{14}))",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.89, bodu=207, $$1\frac{2}{8} + (-11 - (-10 \cdot \frac{\frac{1\frac{5}{9}}{4\frac{4}{6}}}{4\frac{2}{6}}))=\textcolor{white}{-8\frac{51}{52}}$$return {
["body"] = 207,
["id"] = "iJutEa_1213_1919",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -8.9807692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -467,
["jmenovatel"] = 52 },
["render"] = "\\frac{-467}{52}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{51}{52}",
["x"] = -8,
["y"] = 51,
["z"] = 52 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{4\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{9}}{4\\frac{4}{6}}}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{\\frac{1\\frac{5}{9}}{4\\frac{4}{6}}}{4\\frac{2}{6}}",
["typ"] = "krat" },
["render"] = "-11 - (-10 \\cdot \\frac{\\frac{1\\frac{5}{9}}{4\\frac{4}{6}}}{4\\frac{2}{6}})",
["typ"] = "minus" },
["render"] = "1\\frac{2}{8} + (-11 - (-10 \\cdot \\frac{\\frac{1\\frac{5}{9}}{4\\frac{4}{6}}}{4\\frac{2}{6}}))",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.9, bodu=175, $$\frac{4\frac{2}{8} + 12}{3\frac{5}{8} - (22 - 4\frac{5}{7})} \cdot 12=\textcolor{white}{-14\frac{14}{51}}$$return {
["body"] = 175,
["id"] = "wpb2GW_1213_1919",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -14.274509803922,
["objekt"] = {
["hodnota"] = {
["citatel"] = -728,
["jmenovatel"] = 51 },
["render"] = "\\frac{-2184}{153}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{14}{51}",
["x"] = -14,
["y"] = 14,
["z"] = 51 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "22 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(22 - 4\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} - (22 - 4\\frac{5}{7})",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{8} + 12}{3\\frac{5}{8} - (22 - 4\\frac{5}{7})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{8} + 12}{3\\frac{5}{8} - (22 - 4\\frac{5}{7})} \\cdot 12",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.91, bodu=247, $$12 + 4\frac{3}{12} - (2\frac{5}{9} + 2\frac{1}{6} - \frac{\frac{3\frac{3}{8}}{2\frac{5}{8}}}{-14})=\textcolor{white}{11\frac{769}{1764}}$$return {
["body"] = 247,
["id"] = "rXvzNP_1213_1919",
["obtiznost"] = 1.91,
["reseni"] = {
["float"] = 11.435941043084,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20173,
["jmenovatel"] = 1764 },
["render"] = "\\frac{20173}{1764}",
["typ"] = "cislo" },
["tex"] = "11\\frac{769}{1764}",
["x"] = 11,
["y"] = 769,
["z"] = 1764 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 2\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{8}}{2\\frac{5}{8}}}{-14}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{9} + 2\\frac{1}{6} - \\frac{\\frac{3\\frac{3}{8}}{2\\frac{5}{8}}}{-14}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} + 2\\frac{1}{6} - \\frac{\\frac{3\\frac{3}{8}}{2\\frac{5}{8}}}{-14})",
["typ"] = "zavorka" },
["render"] = "12 + 4\\frac{3}{12} - (2\\frac{5}{9} + 2\\frac{1}{6} - \\frac{\\frac{3\\frac{3}{8}}{2\\frac{5}{8}}}{-14})",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.92, bodu=146, $$\frac{14}{\frac{-7}{-8 \cdot 1\frac{4}{8}}} \cdot 1\frac{3}{6}=\textcolor{white}{36}$$return {
["body"] = 146,
["id"] = "OngzSR_1213_1919",
["obtiznost"] = 1.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{2}",
["typ"] = "cislo" },
["tex"] = "36",
["x"] = 36 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-7}{-8 \\cdot 1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{-7}{-8 \\cdot 1\\frac{4}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{\\frac{-7}{-8 \\cdot 1\\frac{4}{8}}} \\cdot 1\\frac{3}{6}",
["typ"] = "krat" } }
seed: 41YgoCLLBZwayt1qKVWL_0.93, bodu=289, $$\frac{(3\frac{5}{12} + 4\frac{3}{11} + 14) \cdot 3\frac{4}{7}}{1\frac{2}{8} - 2\frac{2}{8} \cdot 3\frac{1}{8}}=\textcolor{white}{-13\frac{487}{1221}}$$return {
["body"] = 289,
["id"] = "RseSa6_1213_1919",
["obtiznost"] = 2.13,
["reseni"] = {
["float"] = -13.398853398853,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16360,
["jmenovatel"] = 1221 },
["render"] = "\\frac{327200}{-24420}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{487}{1221}",
["x"] = -13,
["y"] = 487,
["z"] = 1221 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} + 4\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} + 4\\frac{3}{11} + 14",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{12} + 4\\frac{3}{11} + 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{12} + 4\\frac{3}{11} + 14) \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot 3\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} - 2\\frac{2}{8} \\cdot 3\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "\\frac{(3\\frac{5}{12} + 4\\frac{3}{11} + 14) \\cdot 3\\frac{4}{7}}{1\\frac{2}{8} - 2\\frac{2}{8} \\cdot 3\\frac{1}{8}}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.94, bodu=216, $$\frac{2\frac{4}{9} \cdot -17}{2\frac{1}{4}} \cdot 1\frac{5}{12} + 3\frac{5}{7} - (-18)=\textcolor{white}{-4\frac{766}{1701}}$$return {
["body"] = 216,
["id"] = "JqGKwF_1213_1919",
["obtiznost"] = 1.74,
["reseni"] = {
["float"] = -4.4503233392122,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7570,
["jmenovatel"] = 1701 },
["render"] = "\\frac{-7570}{1701}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{766}{1701}",
["x"] = -4,
["y"] = 766,
["z"] = 1701 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} \\cdot -17}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} \\cdot -17}{2\\frac{1}{4}} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{9} \\cdot -17}{2\\frac{1}{4}} \\cdot 1\\frac{5}{12} + 3\\frac{5}{7} - (-18)",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.95, bodu=183, $$19 + (3\frac{2}{4} + 13 \cdot (2\frac{3}{8} + 4\frac{5}{10})) \cdot (-15 + (-18))=\textcolor{white}{-3045{,}875}$$return {
["body"] = 183,
["id"] = "TNO8z3_1213_1919",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -3045.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24367,
["jmenovatel"] = 8 },
["render"] = "\\frac{-24367}{8}",
["typ"] = "cislo" },
["tex"] = "-3045\\frac{7}{8}",
["tex_float"] = "-3045{,}875",
["x"] = -3045,
["y"] = 7,
["z"] = 8 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} + 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (2\\frac{3}{8} + 4\\frac{5}{10})",
["typ"] = "krat" },
["render"] = "3\\frac{2}{4} + 13 \\cdot (2\\frac{3}{8} + 4\\frac{5}{10})",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{4} + 13 \\cdot (2\\frac{3}{8} + 4\\frac{5}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-15 + (-18)",
["typ"] = "plus" },
["render"] = "(-15 + (-18))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{2}{4} + 13 \\cdot (2\\frac{3}{8} + 4\\frac{5}{10})) \\cdot (-15 + (-18))",
["typ"] = "krat" },
["render"] = "19 + (3\\frac{2}{4} + 13 \\cdot (2\\frac{3}{8} + 4\\frac{5}{10})) \\cdot (-15 + (-18))",
["typ"] = "plus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.96, bodu=256, $$\frac{22}{1\frac{3}{11}} + 1\frac{3}{10} + 1\frac{2}{6} - 1\frac{5}{11} - (-15 + 1\frac{2}{7})=\textcolor{white}{32\frac{59}{330}}$$return {
["body"] = 256,
["id"] = "pZWrnX_1213_1919",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = 32.178787878788,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10619,
["jmenovatel"] = 330 },
["render"] = "\\frac{520331}{16170}",
["typ"] = "cislo" },
["tex"] = "32\\frac{59}{330}",
["x"] = 32,
["y"] = 59,
["z"] = 330 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{22}{1\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{22}{1\\frac{3}{11}} + 1\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "\\frac{22}{1\\frac{3}{11}} + 1\\frac{3}{10} + 1\\frac{2}{6} - 1\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-15 + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(-15 + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{22}{1\\frac{3}{11}} + 1\\frac{3}{10} + 1\\frac{2}{6} - 1\\frac{5}{11} - (-15 + 1\\frac{2}{7})",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.97, bodu=187, $$-15 - (-9) - \frac{\frac{3\frac{3}{11}}{1\frac{3}{7}}}{\frac{3\frac{4}{8}}{19}}=\textcolor{white}{-18\frac{24}{55}}$$return {
["body"] = 187,
["id"] = "1YnFjh_1213_1919",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -18.436363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1014,
["jmenovatel"] = 55 },
["render"] = "\\frac{-1014}{55}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{24}{55}",
["x"] = -18,
["y"] = 24,
["z"] = 55 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{11}}{1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{19}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{3}{11}}{1\\frac{3}{7}}}{\\frac{3\\frac{4}{8}}{19}}",
["typ"] = "lomeno" },
["render"] = "-15 - (-9) - \\frac{\\frac{3\\frac{3}{11}}{1\\frac{3}{7}}}{\\frac{3\\frac{4}{8}}{19}}",
["typ"] = "minus" } }
seed: 41YgoCLLBZwayt1qKVWL_0.98, bodu=125, $$\frac{(17 \cdot -15 - 13) \cdot 3\frac{4}{10}}{-12 \cdot -17}=\textcolor{white}{-4\frac{7}{15}}$$return {
["body"] = 125,
["id"] = "s8MMl1_1213_1919",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -4.4666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 15 },
["render"] = "\\frac{-4556}{1020}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{7}{15}",
["x"] = -4,
["y"] = 7,
["z"] = 15 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "17 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "17 \\cdot -15 - 13",
["typ"] = "minus" },
["render"] = "(17 \\cdot -15 - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(17 \\cdot -15 - 13) \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{(17 \\cdot -15 - 13) \\cdot 3\\frac{4}{10}}{-12 \\cdot -17}",
["typ"] = "lomeno" } }
seed: 41YgoCLLBZwayt1qKVWL_0.99, bodu=157, $$\frac{(18 - 1\frac{3}{9}) \cdot 2\frac{2}{5} + 15}{13 + 21 - (-13)}=\textcolor{white}{1\frac{8}{47}}$$return {
["body"] = 157,
["id"] = "kGmaTG_1213_1919",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 1.1702127659574,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 47 },
["render"] = "\\frac{55}{47}",
["typ"] = "cislo" },
["tex"] = "1\\frac{8}{47}",
["x"] = 1,
["y"] = 8,
["z"] = 47 },
["seed"] = "41YgoCLLBZwayt1qKVWL_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "18 - 1\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(18 - 1\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(18 - 1\\frac{3}{9}) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(18 - 1\\frac{3}{9}) \\cdot 2\\frac{2}{5} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "21 - (-13)",
["typ"] = "minus" },
["render"] = "13 + 21 - (-13)",
["typ"] = "plus" },
["render"] = "\\frac{(18 - 1\\frac{3}{9}) \\cdot 2\\frac{2}{5} + 15}{13 + 21 - (-13)}",
["typ"] = "lomeno" } }
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