- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: L7AlUKBhUP9eJgM9gtdX_0, bodu=10, $$(\frac{2 + 7 - 3}{5})^2=\textcolor{white}{1{,}44}$$return {
["body"] = 10,
["id"] = "IIxkAI_0505_1725",
["obtiznost"] = 0.0244,
["reseni"] = {
["float"] = 1.44,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 25 },
["render"] = "\\frac{36}{25}",
["typ"] = "cislo" },
["tex"] = "1\\frac{11}{25}",
["tex_float"] = "1{,}44",
["x"] = 1,
["y"] = 11,
["z"] = 25 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2 + 7 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2 + 7 - 3}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2 + 7 - 3}{5})^2",
["typ"] = "mocnina" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.01, bodu=10, $$5 + \frac{7}{5} + 8=\textcolor{white}{14{,}4}$$return {
["body"] = 10,
["id"] = "9xkMUm_0505_1725",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 14.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 5 },
["render"] = "\\frac{72}{5}",
["typ"] = "cislo" },
["tex"] = "14\\frac{2}{5}",
["tex_float"] = "14{,}4",
["x"] = 14,
["y"] = 2,
["z"] = 5 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{5}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{7}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + \\frac{7}{5} + 8",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.02, bodu=5, $$5 \cdot (9 - 5 \cdot 8)=\textcolor{white}{-155}$$return {
["body"] = 5,
["id"] = "tZCT9w_0505_1725",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 1 },
["render"] = "\\frac{-155}{1}",
["typ"] = "cislo" },
["tex"] = "-155",
["x"] = -155 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["render"] = "9 - 5 \\cdot 8",
["typ"] = "minus" },
["render"] = "(9 - 5 \\cdot 8)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (9 - 5 \\cdot 8)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.03, bodu=5, $$7 \cdot 8 + 6 - 4=\textcolor{white}{58}$$return {
["body"] = 5,
["id"] = "XJstI7_0505_1725",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 58,
["jmenovatel"] = 1 },
["render"] = "\\frac{58}{1}",
["typ"] = "cislo" },
["tex"] = "58",
["tex_float"] = "58",
["x"] = 58 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 4",
["typ"] = "minus" },
["render"] = "7 \\cdot 8 + 6 - 4",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.04, bodu=10, $$\frac{5 + 11 - 6}{5}=\textcolor{white}{2}$$return {
["body"] = 10,
["id"] = "dc84WY_0505_1725",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{10}{5}",
["typ"] = "cislo" },
["tex"] = "2",
["x"] = 2 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 - 6",
["typ"] = "minus" },
["render"] = "5 + 11 - 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5 + 11 - 6}{5}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.05, bodu=11, $$\frac{\frac{4}{5}}{5 + 6}=\textcolor{white}{\frac{4}{55}}$$return {
["body"] = 11,
["id"] = "GRTx0q_0505_1725",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 0.072727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 55 },
["render"] = "\\frac{4}{55}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{55}",
["y"] = 4,
["z"] = 55 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_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"] = "\\frac{4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4}{5}}{5 + 6}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.06, bodu=5, $$(7 + 8) \cdot 5 - (-8)=\textcolor{white}{83}$$return {
["body"] = 5,
["id"] = "YM7diV_0505_1725",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 1 },
["render"] = "\\frac{83}{1}",
["typ"] = "cislo" },
["tex"] = "83",
["tex_float"] = "83",
["x"] = 83 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(7 + 8) \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(7 + 8) \\cdot 5 - (-8)",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.07, bodu=11, $$\frac{6}{5} \cdot 7=\textcolor{white}{8{,}4}$$return {
["body"] = 11,
["id"] = "ABwsvn_0505_1725",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 8.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 5 },
["render"] = "\\frac{42}{5}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{5}",
["tex_float"] = "8{,}4",
["x"] = 8,
["y"] = 2,
["z"] = 5 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5} \\cdot 7",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.08, bodu=20, $$(\frac{10}{(8 - (-11)) \cdot 2})^2=\textcolor{white}{\frac{25}{361}}$$return {
["body"] = 20,
["id"] = "qhAHuX_0505_1725",
["obtiznost"] = 0.2344,
["reseni"] = {
["float"] = 0.069252077562327,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 361 },
["render"] = "\\frac{25}{361}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{361}",
["y"] = 25,
["z"] = 361 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.08",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["render"] = "(8 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(8 - (-11)) \\cdot 2",
["typ"] = "krat" },
["render"] = "\\frac{10}{(8 - (-11)) \\cdot 2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{(8 - (-11)) \\cdot 2})^2",
["typ"] = "mocnina" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.09, bodu=12, $$\frac{5}{\frac{(6 - 6)^2}{5} + 2}=\textcolor{white}{2{,}5}$$return {
["body"] = 12,
["id"] = "ckpY5Y_0505_1725",
["obtiznost"] = 0.0904,
["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"] = "L7AlUKBhUP9eJgM9gtdX_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(6 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 6)^2}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 6)^2}{5} + 2",
["typ"] = "plus" },
["render"] = "\\frac{5}{\\frac{(6 - 6)^2}{5} + 2}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.1, bodu=12, $$4 \cdot \frac{5}{-9}=\textcolor{white}{-2\frac{2}{9}}$$return {
["body"] = 12,
["id"] = "oGOmZb_0505_1725",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -2.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 9 },
["render"] = "\\frac{-20}{9}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{9}",
["x"] = -2,
["y"] = 2,
["z"] = 9 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-9}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{5}{-9}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.11, bodu=13, $$\frac{-6}{6 \cdot 5 - 11}=\textcolor{white}{-\frac{6}{19}}$$return {
["body"] = 13,
["id"] = "G9jLFC_0505_1725",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = -0.31578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 19 },
["render"] = "\\frac{-6}{19}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{19}",
["y"] = -6,
["z"] = 19 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5 - 11",
["typ"] = "minus" },
["render"] = "\\frac{-6}{6 \\cdot 5 - 11}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.12, bodu=6, $$4 + 6 \cdot (9 + 6)=\textcolor{white}{94}$$return {
["body"] = 6,
["id"] = "OLLGuu_0505_1725",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 94,
["jmenovatel"] = 1 },
["render"] = "\\frac{94}{1}",
["typ"] = "cislo" },
["tex"] = "94",
["tex_float"] = "94",
["x"] = 94 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 + 6",
["typ"] = "plus" },
["render"] = "(9 + 6)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (9 + 6)",
["typ"] = "krat" },
["render"] = "4 + 6 \\cdot (9 + 6)",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.13, bodu=27, $$-8 - 5 - 4\frac{1}{4} \cdot 7=\textcolor{white}{-42{,}75}$$return {
["body"] = 27,
["id"] = "ASzAx8_0505_1725",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -42.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 4 },
["render"] = "\\frac{-171}{4}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{3}{4}",
["tex_float"] = "-42{,}75",
["x"] = -42,
["y"] = 3,
["z"] = 4 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 7",
["typ"] = "krat" },
["render"] = "-8 - 5 - 4\\frac{1}{4} \\cdot 7",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.14, bodu=7, $$(8 - (7 - 10)) \cdot 9=\textcolor{white}{99}$$return {
["body"] = 7,
["id"] = "dps4Ge_0505_1725",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 1 },
["render"] = "\\frac{99}{1}",
["typ"] = "cislo" },
["tex"] = "99",
["tex_float"] = "99",
["x"] = 99 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["render"] = "(7 - 10)",
["typ"] = "zavorka" },
["render"] = "8 - (7 - 10)",
["typ"] = "minus" },
["render"] = "(8 - (7 - 10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(8 - (7 - 10)) \\cdot 9",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.15, bodu=42, $$-3 + (\frac{5}{4})^4 + 5=\textcolor{white}{4\frac{113}{256}}$$return {
["body"] = 42,
["id"] = "EcYCpz_0505_1725",
["obtiznost"] = 0.5024,
["reseni"] = {
["float"] = 4.44140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1137,
["jmenovatel"] = 256 },
["render"] = "\\frac{1137}{256}",
["typ"] = "cislo" },
["tex"] = "4\\frac{113}{256}",
["x"] = 4,
["y"] = 113,
["z"] = 256 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{4})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{4})^4 + 5",
["typ"] = "plus" },
["render"] = "-3 + (\\frac{5}{4})^4 + 5",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.16, bodu=7, $$-5 \cdot 9 \cdot -7=\textcolor{white}{315}$$return {
["body"] = 7,
["id"] = "NIC8mI_0505_1725",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 1 },
["render"] = "\\frac{315}{1}",
["typ"] = "cislo" },
["tex"] = "315",
["tex_float"] = "315",
["x"] = 315 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9 \\cdot -7",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.17, bodu=38, $$\frac{\frac{-5}{5}}{(3\frac{4}{8} + 4)^2}=\textcolor{white}{-\frac{4}{225}}$$return {
["body"] = 38,
["id"] = "TjoF5k_0505_1725",
["obtiznost"] = 0.4616,
["reseni"] = {
["float"] = -0.017777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 225 },
["render"] = "\\frac{-4}{225}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{225}",
["y"] = -4,
["z"] = 225 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{4}{8} + 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-5}{5}}{(3\\frac{4}{8} + 4)^2}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.18, bodu=16, $$\frac{\frac{10}{-6}}{11}=\textcolor{white}{-\frac{5}{33}}$$return {
["body"] = 16,
["id"] = "Z4W37j_0505_1725",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.15151515151515,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 33 },
["render"] = "\\frac{-5}{33}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{33}",
["y"] = -5,
["z"] = 33 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{-6}}{11}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.19, bodu=21, $$(12 - (-4)) \cdot (\frac{10}{6})^3=\textcolor{white}{74\frac{2}{27}}$$return {
["body"] = 21,
["id"] = "kNpEiG_0505_1725",
["obtiznost"] = 0.2508,
["reseni"] = {
["float"] = 74.074074074074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2000,
["jmenovatel"] = 27 },
["render"] = "\\frac{2000}{27}",
["typ"] = "cislo" },
["tex"] = "74\\frac{2}{27}",
["x"] = 74,
["y"] = 2,
["z"] = 27 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.19",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "12 - (-4)",
["typ"] = "minus" },
["render"] = "(12 - (-4))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{6})^3",
["typ"] = "mocnina" },
["render"] = "(12 - (-4)) \\cdot (\\frac{10}{6})^3",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.2, bodu=9, $$9 \cdot -6 \cdot 4 \cdot -6=\textcolor{white}{1296}$$return {
["body"] = 9,
["id"] = "3bxGar_0505_1725",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1296,
["jmenovatel"] = 1 },
["render"] = "\\frac{1296}{1}",
["typ"] = "cislo" },
["tex"] = "1296",
["tex_float"] = "1296",
["x"] = 1296 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.2",
["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 \\cdot 4",
["typ"] = "krat" },
["render"] = "9 \\cdot -6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 \\cdot -6 \\cdot 4 \\cdot -6",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.21, bodu=22, $$(7 + (\frac{7}{10})^2) \cdot 10=\textcolor{white}{74{,}9}$$return {
["body"] = 22,
["id"] = "AVTKd7_0505_1725",
["obtiznost"] = 0.2696,
["reseni"] = {
["float"] = 74.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 749,
["jmenovatel"] = 10 },
["render"] = "\\frac{7490}{100}",
["typ"] = "cislo" },
["tex"] = "74\\frac{9}{10}",
["tex_float"] = "74{,}9",
["x"] = 74,
["y"] = 9,
["z"] = 10 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{10})^2",
["typ"] = "mocnina" },
["render"] = "7 + (\\frac{7}{10})^2",
["typ"] = "plus" },
["render"] = "(7 + (\\frac{7}{10})^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(7 + (\\frac{7}{10})^2) \\cdot 10",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.22, bodu=9, $$6 - 7 \cdot 3 \cdot 5=\textcolor{white}{-99}$$return {
["body"] = 9,
["id"] = "cztUyo_0505_1725",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 1 },
["render"] = "\\frac{-99}{1}",
["typ"] = "cislo" },
["tex"] = "-99",
["tex_float"] = "-99",
["x"] = -99 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 \\cdot 5",
["typ"] = "krat" },
["render"] = "7 \\cdot 3 \\cdot 5",
["typ"] = "krat" },
["render"] = "6 - 7 \\cdot 3 \\cdot 5",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.23, bodu=55, $$(\frac{2\frac{2}{5} \cdot 11}{-6})^2 \cdot 6=\textcolor{white}{116{,}16}$$return {
["body"] = 55,
["id"] = "fDcQ1Y_0505_1725",
["obtiznost"] = 0.6336,
["reseni"] = {
["float"] = 116.16,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2904,
["jmenovatel"] = 25 },
["render"] = "\\frac{2904}{25}",
["typ"] = "cislo" },
["tex"] = "116\\frac{4}{25}",
["tex_float"] = "116{,}16",
["x"] = 116,
["y"] = 4,
["z"] = 25 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.23",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5} \\cdot 11}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{2}{5} \\cdot 11}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{2}{5} \\cdot 11}{-6})^2 \\cdot 6",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.24, bodu=36, $$6 - 8 - \frac{12}{3\frac{1}{3}}=\textcolor{white}{-5{,}6}$$return {
["body"] = 36,
["id"] = "hCzWrm_0505_1725",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -5.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 5 },
["render"] = "\\frac{-28}{5}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{3}{5}",
["tex_float"] = "-5{,}6",
["x"] = -5,
["y"] = 3,
["z"] = 5 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "6 - 8 - \\frac{12}{3\\frac{1}{3}}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.25, bodu=24, $$11 - (\frac{7}{9})^2 - (-8 + 9)^3=\textcolor{white}{9\frac{32}{81}}$$return {
["body"] = 24,
["id"] = "Qe7zau_0505_1725",
["obtiznost"] = 0.3028,
["reseni"] = {
["float"] = 9.3950617283951,
["objekt"] = {
["hodnota"] = {
["citatel"] = 761,
["jmenovatel"] = 81 },
["render"] = "\\frac{761}{81}",
["typ"] = "cislo" },
["tex"] = "9\\frac{32}{81}",
["x"] = 9,
["y"] = 32,
["z"] = 81 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{9})^2",
["typ"] = "mocnina" },
["render"] = "11 - (\\frac{7}{9})^2",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 9)^3",
["typ"] = "mocnina" },
["render"] = "11 - (\\frac{7}{9})^2 - (-8 + 9)^3",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.26, bodu=22, $$\frac{(10 + (-8))^4}{\frac{5}{9}}=\textcolor{white}{28{,}8}$$return {
["body"] = 22,
["id"] = "UG3RlB_0505_1725",
["obtiznost"] = 0.2668,
["reseni"] = {
["float"] = 28.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 5 },
["render"] = "\\frac{144}{5}",
["typ"] = "cislo" },
["tex"] = "28\\frac{4}{5}",
["tex_float"] = "28{,}8",
["x"] = 28,
["y"] = 4,
["z"] = 5 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{(10 + (-8))^4}{\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.27, bodu=22, $$\frac{-11 \cdot 9 + 11}{13 + 8}=\textcolor{white}{-4\frac{4}{21}}$$return {
["body"] = 22,
["id"] = "pgYoHF_0505_1725",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -4.1904761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = -88,
["jmenovatel"] = 21 },
["render"] = "\\frac{-88}{21}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{4}{21}",
["x"] = -4,
["y"] = 4,
["z"] = 21 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-11 \\cdot 9 + 11}{13 + 8}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.28, bodu=12, $$5 - ((11 - 12) \cdot 9 + 12)^4=\textcolor{white}{-76}$$return {
["body"] = 12,
["id"] = "O0C3HW_0505_1725",
["obtiznost"] = 0.3128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 1 },
["render"] = "\\frac{-76}{1}",
["typ"] = "cislo" },
["tex"] = "-76",
["x"] = -76 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 - 12",
["typ"] = "minus" },
["render"] = "(11 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(11 - 12) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(11 - 12) \\cdot 9 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "((11 - 12) \\cdot 9 + 12)^4",
["typ"] = "mocnina" },
["render"] = "5 - ((11 - 12) \\cdot 9 + 12)^4",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.29, bodu=85, $$(4\frac{2}{6} + 4\frac{4}{9} + 12) \cdot -3 \cdot 3\frac{1}{5}=\textcolor{white}{-199\frac{7}{15}}$$return {
["body"] = 85,
["id"] = "HGsGis_0505_1725",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -199.46666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2992,
["jmenovatel"] = 15 },
["render"] = "\\frac{-8976}{45}",
["typ"] = "cislo" },
["tex"] = "-199\\frac{7}{15}",
["x"] = -199,
["y"] = 7,
["z"] = 15 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.29",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 12",
["typ"] = "plus" },
["render"] = "4\\frac{2}{6} + 4\\frac{4}{9} + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 4\\frac{4}{9} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{6} + 4\\frac{4}{9} + 12) \\cdot -3 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.3, bodu=41, $$\frac{-3}{1\frac{5}{10}} \cdot (12 + 5)=\textcolor{white}{-34}$$return {
["body"] = 41,
["id"] = "pvQmHQ_0505_1725",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 1 },
["render"] = "\\frac{-34}{1}",
["typ"] = "cislo" },
["tex"] = "-34",
["tex_float"] = "-34",
["x"] = -34 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 + 5",
["typ"] = "plus" },
["render"] = "(12 + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{-3}{1\\frac{5}{10}} \\cdot (12 + 5)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.31, bodu=42, $$\frac{11}{8 \cdot 3\frac{2}{5} + 6}=\textcolor{white}{\frac{55}{166}}$$return {
["body"] = 42,
["id"] = "7iUg93_0505_1725",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 0.33132530120482,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 166 },
["render"] = "\\frac{55}{166}",
["typ"] = "cislo" },
["tex"] = "\\frac{55}{166}",
["y"] = 55,
["z"] = 166 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{2}{5} + 6",
["typ"] = "plus" },
["render"] = "\\frac{11}{8 \\cdot 3\\frac{2}{5} + 6}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.32, bodu=43, $$\frac{\frac{11 + (-11) - (-10)}{1\frac{1}{3}}}{12}=\textcolor{white}{0{,}625}$$return {
["body"] = 43,
["id"] = "rh71Sg_0505_1725",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 0.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 8 },
["render"] = "\\frac{15}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{8}",
["tex_float"] = "0{,}625",
["y"] = 5,
["z"] = 8 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 + (-11) - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{11 + (-11) - (-10)}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11 + (-11) - (-10)}{1\\frac{1}{3}}}{12}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.33, bodu=28, $$\frac{7}{-10} \cdot (\frac{6}{5})^2=\textcolor{white}{-1{,}008}$$return {
["body"] = 28,
["id"] = "9MIWT4_0505_1725",
["obtiznost"] = 0.3544,
["reseni"] = {
["float"] = -1.008,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 125 },
["render"] = "\\frac{-252}{250}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{125}",
["tex_float"] = "-1{,}008",
["x"] = -1,
["y"] = 1,
["z"] = 125 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{5})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{-10} \\cdot (\\frac{6}{5})^2",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.34, bodu=45, $$3\frac{3}{9} \cdot -5 \cdot 12 \cdot -7=\textcolor{white}{1400}$$return {
["body"] = 45,
["id"] = "wl52Cw_0505_1725",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1400,
["jmenovatel"] = 1 },
["render"] = "\\frac{4200}{3}",
["typ"] = "cislo" },
["tex"] = "1400",
["x"] = 1400 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 \\cdot -7",
["typ"] = "krat" },
["render"] = "3\\frac{3}{9} \\cdot -5 \\cdot 12 \\cdot -7",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.35, bodu=46, $$\frac{10 - 12}{-13} - 1\frac{4}{8}=\textcolor{white}{-1\frac{9}{26}}$$return {
["body"] = 46,
["id"] = "yjWrSK_0505_1725",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -1.3461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 26 },
["render"] = "\\frac{-35}{26}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{9}{26}",
["x"] = -1,
["y"] = 9,
["z"] = 26 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 12}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 12}{-13} - 1\\frac{4}{8}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.36, bodu=119, $$\frac{13 + 3\frac{3}{7} + (-9)}{(\frac{10}{2\frac{2}{6}})^2}=\textcolor{white}{\frac{91}{225}}$$return {
["body"] = 119,
["id"] = "LjraBF_0505_1725",
["obtiznost"] = 1.1396,
["reseni"] = {
["float"] = 0.40444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 225 },
["render"] = "\\frac{2548}{6300}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{225}",
["y"] = 91,
["z"] = 225 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + (-9)",
["typ"] = "plus" },
["render"] = "13 + 3\\frac{3}{7} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{2\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13 + 3\\frac{3}{7} + (-9)}{(\\frac{10}{2\\frac{2}{6}})^2}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.37, bodu=33, $$\frac{(\frac{4}{12})^4}{\frac{5}{6}}=\textcolor{white}{\frac{2}{135}}$$return {
["body"] = 33,
["id"] = "9ZMX4W_0505_1725",
["obtiznost"] = 0.4028,
["reseni"] = {
["float"] = 0.014814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 135 },
["render"] = "\\frac{6}{405}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{135}",
["y"] = 2,
["z"] = 135 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{12})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{4}{12})^4}{\\frac{5}{6}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.38, bodu=31, $$\frac{10 \cdot -10}{-7 + (-4)}=\textcolor{white}{9\frac{1}{11}}$$return {
["body"] = 31,
["id"] = "pPSYIJ_0505_1725",
["obtiznost"] = 0.38,
["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"] = "L7AlUKBhUP9eJgM9gtdX_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-7 + (-4)",
["typ"] = "plus" },
["render"] = "\\frac{10 \\cdot -10}{-7 + (-4)}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.39, bodu=59, $$2\frac{3}{8} \cdot (\frac{14}{\frac{-6}{-6}})^2=\textcolor{white}{465{,}5}$$return {
["body"] = 59,
["id"] = "XTG4Fl_0505_1725",
["obtiznost"] = 0.6688,
["reseni"] = {
["float"] = 465.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 931,
["jmenovatel"] = 2 },
["render"] = "\\frac{3724}{8}",
["typ"] = "cislo" },
["tex"] = "465\\frac{1}{2}",
["tex_float"] = "465{,}5",
["x"] = 465,
["y"] = 1,
["z"] = 2 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{-6}{-6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{\\frac{-6}{-6}})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{8} \\cdot (\\frac{14}{\\frac{-6}{-6}})^2",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.4, bodu=78, $$\frac{11}{4\frac{3}{7} \cdot (\frac{11}{2\frac{4}{9}})^2}=\textcolor{white}{\frac{308}{2511}}$$return {
["body"] = 78,
["id"] = "8hMfqa_0505_1725",
["obtiznost"] = 0.834,
["reseni"] = {
["float"] = 0.12266029470331,
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 2511 },
["render"] = "\\frac{308}{2511}",
["typ"] = "cislo" },
["tex"] = "\\frac{308}{2511}",
["y"] = 308,
["z"] = 2511 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{2\\frac{4}{9}})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{7} \\cdot (\\frac{11}{2\\frac{4}{9}})^2",
["typ"] = "krat" },
["render"] = "\\frac{11}{4\\frac{3}{7} \\cdot (\\frac{11}{2\\frac{4}{9}})^2}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.41, bodu=52, $$(-4 \cdot (14 + (-14)) \cdot (3\frac{2}{5} - 11))^4=\textcolor{white}{0}$$return {
["body"] = 52,
["id"] = "2Vtm4U_0505_1725",
["obtiznost"] = 0.6104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.41",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "14 + (-14)",
["typ"] = "plus" },
["render"] = "(14 + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{5} - 11)",
["typ"] = "zavorka" },
["render"] = "(14 + (-14)) \\cdot (3\\frac{2}{5} - 11)",
["typ"] = "krat" },
["render"] = "-4 \\cdot (14 + (-14)) \\cdot (3\\frac{2}{5} - 11)",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(-4 \\cdot (14 + (-14)) \\cdot (3\\frac{2}{5} - 11))^4",
["typ"] = "mocnina" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.42, bodu=34, $$\frac{16}{\frac{9}{-12}} \cdot (10 + 5)=\textcolor{white}{-320}$$return {
["body"] = 34,
["id"] = "FFZV49_0505_1725",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -320,
["jmenovatel"] = 1 },
["render"] = "\\frac{-960}{3}",
["typ"] = "cislo" },
["tex"] = "-320",
["x"] = -320 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{16}{\\frac{9}{-12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + 5",
["typ"] = "plus" },
["render"] = "(10 + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{16}{\\frac{9}{-12}} \\cdot (10 + 5)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.43, bodu=104, $$\frac{3\frac{2}{9}}{8 \cdot 4\frac{5}{9} - 4\frac{5}{9} \cdot 10}=\textcolor{white}{-\frac{29}{82}}$$return {
["body"] = 104,
["id"] = "2mVQuc_0505_1725",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -0.35365853658537,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 82 },
["render"] = "\\frac{261}{-738}",
["typ"] = "cislo" },
["tex"] = "-\\frac{29}{82}",
["y"] = -29,
["z"] = 82 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} \\cdot 10",
["typ"] = "krat" },
["render"] = "8 \\cdot 4\\frac{5}{9} - 4\\frac{5}{9} \\cdot 10",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{2}{9}}{8 \\cdot 4\\frac{5}{9} - 4\\frac{5}{9} \\cdot 10}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.44, bodu=56, $$10 - \frac{7 - 4\frac{3}{8}}{-7 - 8}=\textcolor{white}{10{,}175}$$return {
["body"] = 56,
["id"] = "uX51wr_0505_1725",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 10.175,
["objekt"] = {
["hodnota"] = {
["citatel"] = 407,
["jmenovatel"] = 40 },
["render"] = "\\frac{407}{40}",
["typ"] = "cislo" },
["tex"] = "10\\frac{7}{40}",
["tex_float"] = "10{,}175",
["x"] = 10,
["y"] = 7,
["z"] = 40 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["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"] = "\\frac{7 - 4\\frac{3}{8}}{-7 - 8}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{7 - 4\\frac{3}{8}}{-7 - 8}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.45, bodu=57, $$\frac{-3 \cdot (2\frac{1}{2} - (-13))}{11 - 15}=\textcolor{white}{11{,}625}$$return {
["body"] = 57,
["id"] = "nQjYjV_0505_1725",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 11.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 8 },
["render"] = "\\frac{-93}{-8}",
["typ"] = "cislo" },
["tex"] = "11\\frac{5}{8}",
["tex_float"] = "11{,}625",
["x"] = 11,
["y"] = 5,
["z"] = 8 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} - (-13)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{2} - (-13))",
["typ"] = "zavorka" },
["render"] = "-3 \\cdot (2\\frac{1}{2} - (-13))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - 15",
["typ"] = "minus" },
["render"] = "\\frac{-3 \\cdot (2\\frac{1}{2} - (-13))}{11 - 15}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.46, bodu=58, $$13 - (-6 \cdot -16) - (1\frac{1}{6} + (-13))=\textcolor{white}{-71\frac{1}{6}}$$return {
["body"] = 58,
["id"] = "96t72M_0505_1725",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -71.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -427,
["jmenovatel"] = 6 },
["render"] = "\\frac{-427}{6}",
["typ"] = "cislo" },
["tex"] = "-71\\frac{1}{6}",
["x"] = -71,
["y"] = 1,
["z"] = 6 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -16",
["typ"] = "krat" },
["render"] = "13 - (-6 \\cdot -16)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + (-13)",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{6} + (-13))",
["typ"] = "zavorka" },
["render"] = "13 - (-6 \\cdot -16) - (1\\frac{1}{6} + (-13))",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.47, bodu=39, $$7 - \frac{-5}{12 - (\frac{6}{-12})^2}=\textcolor{white}{7\frac{20}{47}}$$return {
["body"] = 39,
["id"] = "Q0ZJkF_0505_1725",
["obtiznost"] = 0.472,
["reseni"] = {
["float"] = 7.4255319148936,
["objekt"] = {
["hodnota"] = {
["citatel"] = 349,
["jmenovatel"] = 47 },
["render"] = "\\frac{349}{47}",
["typ"] = "cislo" },
["tex"] = "7\\frac{20}{47}",
["x"] = 7,
["y"] = 20,
["z"] = 47 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-12})^2",
["typ"] = "mocnina" },
["render"] = "12 - (\\frac{6}{-12})^2",
["typ"] = "minus" },
["render"] = "\\frac{-5}{12 - (\\frac{6}{-12})^2}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{-5}{12 - (\\frac{6}{-12})^2}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.48, bodu=84, $$3 - (8 + 13 \cdot 4\frac{4}{7}) \cdot 1\frac{4}{8}=\textcolor{white}{-98\frac{1}{7}}$$return {
["body"] = 84,
["id"] = "EvYkxJ_0505_1725",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -98.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -687,
["jmenovatel"] = 7 },
["render"] = "\\frac{-687}{7}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{1}{7}",
["x"] = -98,
["y"] = 1,
["z"] = 7 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "8 + 13 \\cdot 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(8 + 13 \\cdot 4\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(8 + 13 \\cdot 4\\frac{4}{7}) \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "3 - (8 + 13 \\cdot 4\\frac{4}{7}) \\cdot 1\\frac{4}{8}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.49, bodu=40, $$\frac{-6}{5 + 18} \cdot -13 \cdot -5=\textcolor{white}{-16\frac{22}{23}}$$return {
["body"] = 40,
["id"] = "9BzZRn_0505_1725",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -16.95652173913,
["objekt"] = {
["hodnota"] = {
["citatel"] = -390,
["jmenovatel"] = 23 },
["render"] = "\\frac{-390}{23}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{22}{23}",
["x"] = -16,
["y"] = 22,
["z"] = 23 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "5 + 18",
["typ"] = "plus" },
["render"] = "\\frac{-6}{5 + 18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{-6}{5 + 18} \\cdot -13 \\cdot -5",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.5, bodu=62, $$\frac{1\frac{3}{5}}{-6 \cdot (11 \cdot -16 - 11)}=\textcolor{white}{\frac{4}{2805}}$$return {
["body"] = 62,
["id"] = "silysv_0505_1725",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 0.0014260249554367,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 2805 },
["render"] = "\\frac{8}{5610}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{2805}",
["y"] = 4,
["z"] = 2805 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 \\cdot -16 - 11",
["typ"] = "minus" },
["render"] = "(11 \\cdot -16 - 11)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (11 \\cdot -16 - 11)",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{5}}{-6 \\cdot (11 \\cdot -16 - 11)}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.51, bodu=63, $$\frac{11 \cdot (16 - 16 - 3\frac{3}{8})}{12}=\textcolor{white}{-3\frac{3}{32}}$$return {
["body"] = 63,
["id"] = "S2oeoD_0505_1725",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -3.09375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 32 },
["render"] = "\\frac{-297}{96}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{32}",
["x"] = -3,
["y"] = 3,
["z"] = 32 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "16 - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "16 - 16 - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(16 - 16 - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (16 - 16 - 3\\frac{3}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot (16 - 16 - 3\\frac{3}{8})}{12}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.52, bodu=146, $$4 - (5 + 1\frac{2}{5}) \cdot 1\frac{5}{9} - (3\frac{1}{4} + 4\frac{5}{9})=\textcolor{white}{-13\frac{137}{180}}$$return {
["body"] = 146,
["id"] = "ll5hzi_0505_1725",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -13.761111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2477,
["jmenovatel"] = 180 },
["render"] = "\\frac{-22293}{1620}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{137}{180}",
["x"] = -13,
["y"] = 137,
["z"] = 180 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "5 + 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(5 + 1\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(5 + 1\\frac{2}{5}) \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "4 - (5 + 1\\frac{2}{5}) \\cdot 1\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "4 - (5 + 1\\frac{2}{5}) \\cdot 1\\frac{5}{9} - (3\\frac{1}{4} + 4\\frac{5}{9})",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.53, bodu=90, $$4\frac{3}{7} \cdot 3 + 4\frac{2}{6} \cdot 9 - 11=\textcolor{white}{41\frac{2}{7}}$$return {
["body"] = 90,
["id"] = "AWxKwN_0505_1725",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 41.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 7 },
["render"] = "\\frac{289}{7}",
["typ"] = "cislo" },
["tex"] = "41\\frac{2}{7}",
["x"] = 41,
["y"] = 2,
["z"] = 7 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 9",
["typ"] = "krat" },
["render"] = "4\\frac{3}{7} \\cdot 3 + 4\\frac{2}{6} \\cdot 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 3 + 4\\frac{2}{6} \\cdot 9 - 11",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.54, bodu=67, $$\frac{-13}{15} - (3\frac{4}{8} \cdot 6 + 11)=\textcolor{white}{-32\frac{13}{15}}$$return {
["body"] = 67,
["id"] = "6R3b6O_0505_1725",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -32.866666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -493,
["jmenovatel"] = 15 },
["render"] = "\\frac{-493}{15}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{13}{15}",
["x"] = -32,
["y"] = 13,
["z"] = 15 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 6 + 11",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} \\cdot 6 + 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{15} - (3\\frac{4}{8} \\cdot 6 + 11)",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.55, bodu=132, $$\frac{3\frac{1}{4} - (3\frac{3}{6} - 3\frac{3}{7})^2}{-12 - (-4)}=\textcolor{white}{-\frac{159}{392}}$$return {
["body"] = 132,
["id"] = "T7U4GR_0505_1725",
["obtiznost"] = 1.2288,
["reseni"] = {
["float"] = -0.40561224489796,
["objekt"] = {
["hodnota"] = {
["citatel"] = -159,
["jmenovatel"] = 392 },
["render"] = "\\frac{159}{-392}",
["typ"] = "cislo" },
["tex"] = "-\\frac{159}{392}",
["y"] = -159,
["z"] = 392 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 3\\frac{3}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{6} - 3\\frac{3}{7})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{4} - (3\\frac{3}{6} - 3\\frac{3}{7})^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-12 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{1}{4} - (3\\frac{3}{6} - 3\\frac{3}{7})^2}{-12 - (-4)}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.56, bodu=69, $$(-12 + (-12) - 8) \cdot 4\frac{2}{8} - 13=\textcolor{white}{-149}$$return {
["body"] = 69,
["id"] = "s3iQV2_0505_1725",
["obtiznost"] = 0.76,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -149,
["jmenovatel"] = 1 },
["render"] = "\\frac{-149}{1}",
["typ"] = "cislo" },
["tex"] = "-149",
["x"] = -149 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 + (-12) - 8",
["typ"] = "minus" },
["render"] = "(-12 + (-12) - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(-12 + (-12) - 8) \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-12 + (-12) - 8) \\cdot 4\\frac{2}{8} - 13",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.57, bodu=71, $$-7 \cdot (3\frac{1}{6} - (-13)) + (6 - 10)^2=\textcolor{white}{-97\frac{1}{6}}$$return {
["body"] = 71,
["id"] = "JXtgOR_0505_1725",
["obtiznost"] = 0.7768,
["reseni"] = {
["float"] = -97.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -583,
["jmenovatel"] = 6 },
["render"] = "\\frac{-583}{6}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{1}{6}",
["x"] = -97,
["y"] = 1,
["z"] = 6 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - (-13)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{6} - (-13))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (3\\frac{1}{6} - (-13))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 10)^2",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot (3\\frac{1}{6} - (-13)) + (6 - 10)^2",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.58, bodu=97, $$\frac{4\frac{3}{10} \cdot 17}{\frac{-13}{12 + 4\frac{5}{7}}}=\textcolor{white}{-93\frac{69}{70}}$$return {
["body"] = 97,
["id"] = "G45v2o_0505_1725",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -93.985714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6579,
["jmenovatel"] = 70 },
["render"] = "\\frac{6579}{-70}",
["typ"] = "cislo" },
["tex"] = "-93\\frac{69}{70}",
["x"] = -93,
["y"] = 69,
["z"] = 70 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-13}{12 + 4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{10} \\cdot 17}{\\frac{-13}{12 + 4\\frac{5}{7}}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.59, bodu=157, $$4\frac{5}{8} - (-14 + 4\frac{4}{10} - \frac{1\frac{1}{7} + 2\frac{4}{10}}{-17})=\textcolor{white}{14\frac{79}{4760}}$$return {
["body"] = 157,
["id"] = "m6L7nN_0505_1725",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 14.016596638655,
["objekt"] = {
["hodnota"] = {
["citatel"] = 66719,
["jmenovatel"] = 4760 },
["render"] = "\\frac{66719}{4760}",
["typ"] = "cislo" },
["tex"] = "14\\frac{79}{4760}",
["x"] = 14,
["y"] = 79,
["z"] = 4760 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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 + 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 2\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7} + 2\\frac{4}{10}}{-17}",
["typ"] = "lomeno" },
["render"] = "-14 + 4\\frac{4}{10} - \\frac{1\\frac{1}{7} + 2\\frac{4}{10}}{-17}",
["typ"] = "minus" },
["render"] = "(-14 + 4\\frac{4}{10} - \\frac{1\\frac{1}{7} + 2\\frac{4}{10}}{-17})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{8} - (-14 + 4\\frac{4}{10} - \\frac{1\\frac{1}{7} + 2\\frac{4}{10}}{-17})",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.6, bodu=128, $$3\frac{4}{11} \cdot (-9 - 1\frac{5}{10} - \frac{4\frac{3}{11}}{-6})=\textcolor{white}{-32\frac{335}{363}}$$return {
["body"] = 128,
["id"] = "9aD9nM_0505_1725",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -32.922865013774,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11951,
["jmenovatel"] = 363 },
["render"] = "\\frac{-11951}{363}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{335}{363}",
["x"] = -32,
["y"] = 335,
["z"] = 363 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-9 - 1\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{-6}",
["typ"] = "lomeno" },
["render"] = "-9 - 1\\frac{5}{10} - \\frac{4\\frac{3}{11}}{-6}",
["typ"] = "minus" },
["render"] = "(-9 - 1\\frac{5}{10} - \\frac{4\\frac{3}{11}}{-6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{11} \\cdot (-9 - 1\\frac{5}{10} - \\frac{4\\frac{3}{11}}{-6})",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.61, bodu=52, $$\frac{17 - (-17)}{-7 \cdot 8} - 12=\textcolor{white}{-12\frac{17}{28}}$$return {
["body"] = 52,
["id"] = "wwdInL_0505_1725",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -12.607142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -353,
["jmenovatel"] = 28 },
["render"] = "\\frac{-353}{28}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{17}{28}",
["x"] = -12,
["y"] = 17,
["z"] = 28 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "17 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{17 - (-17)}{-7 \\cdot 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{17 - (-17)}{-7 \\cdot 8} - 12",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.62, bodu=131, $$3\frac{3}{5} \cdot 2\frac{2}{4} \cdot \frac{11}{4\frac{4}{9}} - 13=\textcolor{white}{9{,}275}$$return {
["body"] = 131,
["id"] = "5ZyE2Q_0505_1725",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 9.275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 371,
["jmenovatel"] = 40 },
["render"] = "\\frac{371}{40}",
["typ"] = "cislo" },
["tex"] = "9\\frac{11}{40}",
["tex_float"] = "9{,}275",
["x"] = 9,
["y"] = 11,
["z"] = 40 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 2\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{5} \\cdot 2\\frac{2}{4} \\cdot \\frac{11}{4\\frac{4}{9}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 2\\frac{2}{4} \\cdot \\frac{11}{4\\frac{4}{9}} - 13",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.63, bodu=104, $$2\frac{2}{10} + 17 + (-12 \cdot 4\frac{2}{9} - (-12)) - (-11)=\textcolor{white}{-8\frac{7}{15}}$$return {
["body"] = 104,
["id"] = "RBcyZ7_0505_1725",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -8.4666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127,
["jmenovatel"] = 15 },
["render"] = "\\frac{-127}{15}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{7}{15}",
["x"] = -8,
["y"] = 7,
["z"] = 15 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{2}{9} - (-12)",
["typ"] = "minus" },
["render"] = "17 + (-12 \\cdot 4\\frac{2}{9} - (-12))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "17 + (-12 \\cdot 4\\frac{2}{9} - (-12)) - (-11)",
["typ"] = "minus" },
["render"] = "2\\frac{2}{10} + 17 + (-12 \\cdot 4\\frac{2}{9} - (-12)) - (-11)",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.64, bodu=79, $$\frac{1\frac{1}{8} \cdot \frac{6}{-7}}{-14} \cdot -3=\textcolor{white}{-\frac{81}{392}}$$return {
["body"] = 79,
["id"] = "vxxJG6_0505_1725",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -0.20663265306122,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 392 },
["render"] = "\\frac{-81}{392}",
["typ"] = "cislo" },
["tex"] = "-\\frac{81}{392}",
["y"] = -81,
["z"] = 392 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-7}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{8} \\cdot \\frac{6}{-7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{8} \\cdot \\frac{6}{-7}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{8} \\cdot \\frac{6}{-7}}{-14} \\cdot -3",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.65, bodu=135, $$\frac{(2\frac{4}{5} + 2\frac{4}{5}) \cdot -15}{\frac{4\frac{5}{7}}{8}}=\textcolor{white}{-142\frac{6}{11}}$$return {
["body"] = 135,
["id"] = "pUJx3x_0505_1725",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -142.54545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1568,
["jmenovatel"] = 11 },
["render"] = "\\frac{-4704}{33}",
["typ"] = "cislo" },
["tex"] = "-142\\frac{6}{11}",
["x"] = -142,
["y"] = 6,
["z"] = 11 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{5} + 2\\frac{4}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{5} + 2\\frac{4}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{5} + 2\\frac{4}{5}) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{(2\\frac{4}{5} + 2\\frac{4}{5}) \\cdot -15}{\\frac{4\\frac{5}{7}}{8}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.66, bodu=108, $$(1\frac{5}{9} - 10) \cdot (11 + 3\frac{4}{6}) \cdot (-19 - 19)=\textcolor{white}{4706\frac{10}{27}}$$return {
["body"] = 108,
["id"] = "S6Wz4D_0505_1725",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 4706.3703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127072,
["jmenovatel"] = 27 },
["render"] = "\\frac{127072}{27}",
["typ"] = "cislo" },
["tex"] = "4706\\frac{10}{27}",
["x"] = 4706,
["y"] = 10,
["z"] = 27 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 10",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{9} - 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(11 + 3\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-19 - 19",
["typ"] = "minus" },
["render"] = "(-19 - 19)",
["typ"] = "zavorka" },
["render"] = "(11 + 3\\frac{4}{6}) \\cdot (-19 - 19)",
["typ"] = "krat" },
["render"] = "(1\\frac{5}{9} - 10) \\cdot (11 + 3\\frac{4}{6}) \\cdot (-19 - 19)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.67, bodu=138, $$(2\frac{5}{9} - 13) \cdot (11 + 4\frac{5}{10}) - (-11 + 2\frac{1}{3})=\textcolor{white}{-153\frac{2}{9}}$$return {
["body"] = 138,
["id"] = "aC9LbN_0505_1725",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -153.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1379,
["jmenovatel"] = 9 },
["render"] = "\\frac{-4137}{27}",
["typ"] = "cislo" },
["tex"] = "-153\\frac{2}{9}",
["x"] = -153,
["y"] = 2,
["z"] = 9 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(11 + 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{9} - 13) \\cdot (11 + 4\\frac{5}{10})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-11 + 2\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(-11 + 2\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{9} - 13) \\cdot (11 + 4\\frac{5}{10}) - (-11 + 2\\frac{1}{3})",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.68, bodu=148, $$(\frac{17}{13} - 4\frac{1}{8}) \cdot (1\frac{3}{12} + (11 + (-16))^4 + 8)=\textcolor{white}{-1786\frac{365}{416}}$$return {
["body"] = 148,
["id"] = "HBKEUx_0505_1725",
["obtiznost"] = 1.3304,
["reseni"] = {
["float"] = -1786.8774038462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -743341,
["jmenovatel"] = 416 },
["render"] = "\\frac{-743341}{416}",
["typ"] = "cislo" },
["tex"] = "-1786\\frac{365}{416}",
["x"] = -1786,
["y"] = 365,
["z"] = 416 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{17}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{13} - 4\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(\\frac{17}{13} - 4\\frac{1}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(11 + (-16))^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{12} + (11 + (-16))^4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{12} + (11 + (-16))^4 + 8",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{12} + (11 + (-16))^4 + 8)",
["typ"] = "zavorka" },
["render"] = "(\\frac{17}{13} - 4\\frac{1}{8}) \\cdot (1\\frac{3}{12} + (11 + (-16))^4 + 8)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.69, bodu=85, $$\frac{4\frac{1}{5} + (-13 \cdot (17 + (-11))) - 13}{-11}=\textcolor{white}{7\frac{49}{55}}$$return {
["body"] = 85,
["id"] = "i4La67_0505_1725",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 7.8909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 434,
["jmenovatel"] = 55 },
["render"] = "\\frac{-434}{-55}",
["typ"] = "cislo" },
["tex"] = "7\\frac{49}{55}",
["x"] = 7,
["y"] = 49,
["z"] = 55 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "17 + (-11)",
["typ"] = "plus" },
["render"] = "(17 + (-11))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (17 + (-11))",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} + (-13 \\cdot (17 + (-11)))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + (-13 \\cdot (17 + (-11))) - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5} + (-13 \\cdot (17 + (-11))) - 13}{-11}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.7, bodu=114, $$-7 \cdot 15 + (\frac{12}{-18})^2 - (3\frac{3}{8} - 2\frac{4}{14})=\textcolor{white}{-105\frac{325}{504}}$$return {
["body"] = 114,
["id"] = "LV3koM_0505_1725",
["obtiznost"] = 1.1052,
["reseni"] = {
["float"] = -105.64484126984,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53245,
["jmenovatel"] = 504 },
["render"] = "\\frac{-53245}{504}",
["typ"] = "cislo" },
["tex"] = "-105\\frac{325}{504}",
["x"] = -105,
["y"] = 325,
["z"] = 504 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{-18})^2",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot 15 + (\\frac{12}{-18})^2",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 2\\frac{4}{14}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - 2\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 15 + (\\frac{12}{-18})^2 - (3\\frac{3}{8} - 2\\frac{4}{14})",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.71, bodu=181, $$((2\frac{2}{4} + 7 + 1\frac{2}{4} - 15)^3 + 3\frac{2}{10} \cdot 13) \cdot 3\frac{4}{9}=\textcolor{white}{-77\frac{7}{45}}$$return {
["body"] = 181,
["id"] = "1r6H52_0505_1725",
["obtiznost"] = 1.536,
["reseni"] = {
["float"] = -77.155555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3472,
["jmenovatel"] = 45 },
["render"] = "\\frac{-3472}{45}",
["typ"] = "cislo" },
["tex"] = "-77\\frac{7}{45}",
["x"] = -77,
["y"] = 7,
["z"] = 45 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{2}{4} - 15",
["typ"] = "minus" },
["render"] = "2\\frac{2}{4} + 7 + 1\\frac{2}{4} - 15",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{4} + 7 + 1\\frac{2}{4} - 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} \\cdot 13",
["typ"] = "krat" },
["render"] = "(2\\frac{2}{4} + 7 + 1\\frac{2}{4} - 15)^3 + 3\\frac{2}{10} \\cdot 13",
["typ"] = "plus" },
["render"] = "((2\\frac{2}{4} + 7 + 1\\frac{2}{4} - 15)^3 + 3\\frac{2}{10} \\cdot 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "((2\\frac{2}{4} + 7 + 1\\frac{2}{4} - 15)^3 + 3\\frac{2}{10} \\cdot 13) \\cdot 3\\frac{4}{9}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.72, bodu=127, $$\frac{(2\frac{3}{10} - 1\frac{4}{10})^2 - (-12)}{-7 - 12 \cdot -6}=\textcolor{white}{\frac{1281}{6500}}$$return {
["body"] = 127,
["id"] = "ALECU6_0505_1725",
["obtiznost"] = 1.1924,
["reseni"] = {
["float"] = 0.19707692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1281,
["jmenovatel"] = 6500 },
["render"] = "\\frac{1281}{6500}",
["typ"] = "cislo" },
["tex"] = "\\frac{1281}{6500}",
["y"] = 1281,
["z"] = 6500 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 1\\frac{4}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{3}{10} - 1\\frac{4}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} - 1\\frac{4}{10})^2 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "12 \\cdot -6",
["typ"] = "krat" },
["render"] = "-7 - 12 \\cdot -6",
["typ"] = "minus" },
["render"] = "\\frac{(2\\frac{3}{10} - 1\\frac{4}{10})^2 - (-12)}{-7 - 12 \\cdot -6}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.73, bodu=148, $$4 + \frac{3\frac{3}{5}}{11} - 1\frac{1}{6} \cdot 2\frac{4}{5} + 9=\textcolor{white}{10\frac{2}{33}}$$return {
["body"] = 148,
["id"] = "OfYvWj_0505_1725",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 10.060606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 332,
["jmenovatel"] = 33 },
["render"] = "\\frac{332}{33}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{33}",
["x"] = 10,
["y"] = 2,
["z"] = 33 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{11}",
["typ"] = "lomeno" },
["render"] = "4 + \\frac{3\\frac{3}{5}}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 2\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "4 + \\frac{3\\frac{3}{5}}{11} - 1\\frac{1}{6} \\cdot 2\\frac{4}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + \\frac{3\\frac{3}{5}}{11} - 1\\frac{1}{6} \\cdot 2\\frac{4}{5} + 9",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.74, bodu=92, $$(3\frac{5}{12} + 14 - (-10)) \cdot -10 - \frac{-5}{-15}=\textcolor{white}{-274{,}5}$$return {
["body"] = 92,
["id"] = "KhS1qq_0505_1725",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -274.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -549,
["jmenovatel"] = 2 },
["render"] = "\\frac{-4941}{18}",
["typ"] = "cislo" },
["tex"] = "-274\\frac{1}{2}",
["tex_float"] = "-274{,}5",
["x"] = -274,
["y"] = 1,
["z"] = 2 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "14 - (-10)",
["typ"] = "minus" },
["render"] = "3\\frac{5}{12} + 14 - (-10)",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{12} + 14 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{12} + 14 - (-10)) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-15}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{5}{12} + 14 - (-10)) \\cdot -10 - \\frac{-5}{-15}",
["typ"] = "minus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.75, bodu=93, $$\frac{-13 + 4\frac{5}{6}}{11 \cdot 12 - 17 + (-14)}=\textcolor{white}{-\frac{49}{606}}$$return {
["body"] = 93,
["id"] = "TMv0Ri_0505_1725",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -0.080858085808581,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 606 },
["render"] = "\\frac{-49}{606}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{606}",
["y"] = -49,
["z"] = 606 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "11 \\cdot 12 - 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "11 \\cdot 12 - 17 + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{-13 + 4\\frac{5}{6}}{11 \\cdot 12 - 17 + (-14)}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.76, bodu=165, $$\frac{3\frac{3}{6}}{\frac{(2\frac{4}{12} + \frac{-17}{2\frac{3}{7}})^2}{7}}=\textcolor{white}{1{,}125}$$return {
["body"] = 165,
["id"] = "VIkTzp_0505_1725",
["obtiznost"] = 1.442,
["reseni"] = {
["float"] = 1.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "\\frac{63}{56}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{8}",
["tex_float"] = "1{,}125",
["x"] = 1,
["y"] = 1,
["z"] = 8 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{12} + \\frac{-17}{2\\frac{3}{7}}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{12} + \\frac{-17}{2\\frac{3}{7}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{4}{12} + \\frac{-17}{2\\frac{3}{7}})^2}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{6}}{\\frac{(2\\frac{4}{12} + \\frac{-17}{2\\frac{3}{7}})^2}{7}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.77, bodu=95, $$\frac{(-16 - (-14)) \cdot (-14 - 1\frac{2}{11})}{14}=\textcolor{white}{2\frac{13}{77}}$$return {
["body"] = 95,
["id"] = "BsucNj_0505_1725",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 2.1688311688312,
["objekt"] = {
["hodnota"] = {
["citatel"] = 167,
["jmenovatel"] = 77 },
["render"] = "\\frac{334}{154}",
["typ"] = "cislo" },
["tex"] = "2\\frac{13}{77}",
["x"] = 2,
["y"] = 13,
["z"] = 77 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-16 - (-14)",
["typ"] = "minus" },
["render"] = "(-16 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{2}{11}",
["typ"] = "minus" },
["render"] = "(-14 - 1\\frac{2}{11})",
["typ"] = "zavorka" },
["render"] = "(-16 - (-14)) \\cdot (-14 - 1\\frac{2}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(-16 - (-14)) \\cdot (-14 - 1\\frac{2}{11})}{14}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.78, bodu=35, $$(9 - (-6)) \cdot 9 \cdot (13 \cdot 9 + (-9))=\textcolor{white}{14580}$$return {
["body"] = 35,
["id"] = "GPrW68_0505_1725",
["obtiznost"] = 0.78,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14580,
["jmenovatel"] = 1 },
["render"] = "\\frac{14580}{1}",
["typ"] = "cislo" },
["tex"] = "14580",
["tex_float"] = "14580",
["x"] = 14580 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(9 - (-6))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 \\cdot 9 + (-9)",
["typ"] = "plus" },
["render"] = "(13 \\cdot 9 + (-9))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (13 \\cdot 9 + (-9))",
["typ"] = "krat" },
["render"] = "(9 - (-6)) \\cdot 9 \\cdot (13 \\cdot 9 + (-9))",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.79, bodu=98, $$\frac{-13 \cdot 19}{-16 - \frac{3\frac{3}{10}}{-11}}=\textcolor{white}{15\frac{115}{157}}$$return {
["body"] = 98,
["id"] = "qqDlpr_0505_1725",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 15.732484076433,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2470,
["jmenovatel"] = 157 },
["render"] = "\\frac{-2470}{-157}",
["typ"] = "cislo" },
["tex"] = "15\\frac{115}{157}",
["x"] = 15,
["y"] = 115,
["z"] = 157 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{-11}",
["typ"] = "lomeno" },
["render"] = "-16 - \\frac{3\\frac{3}{10}}{-11}",
["typ"] = "minus" },
["render"] = "\\frac{-13 \\cdot 19}{-16 - \\frac{3\\frac{3}{10}}{-11}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.8, bodu=159, $$\frac{-17}{1\frac{2}{5} \cdot (13 + 4\frac{3}{10}) \cdot (2\frac{3}{12} + 12 - (-8))}=\textcolor{white}{-\frac{3400}{107779}}$$return {
["body"] = 159,
["id"] = "TorzGa_0505_1725",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -0.031546034014047,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3400,
["jmenovatel"] = 107779 },
["render"] = "\\frac{-3400}{107779}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3400}{107779}",
["y"] = -3400,
["z"] = 107779 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} + 12 - (-8)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{12} + 12 - (-8))",
["typ"] = "zavorka" },
["render"] = "(13 + 4\\frac{3}{10}) \\cdot (2\\frac{3}{12} + 12 - (-8))",
["typ"] = "krat" },
["render"] = "1\\frac{2}{5} \\cdot (13 + 4\\frac{3}{10}) \\cdot (2\\frac{3}{12} + 12 - (-8))",
["typ"] = "krat" },
["render"] = "\\frac{-17}{1\\frac{2}{5} \\cdot (13 + 4\\frac{3}{10}) \\cdot (2\\frac{3}{12} + 12 - (-8))}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.81, bodu=175, $$\frac{(\frac{4\frac{4}{9}}{10 \cdot -12})^2}{-17 \cdot 20 + 1\frac{1}{3}}=\textcolor{white}{-\frac{1}{246888}}$$return {
["body"] = 175,
["id"] = "Yht6pb_0505_1725",
["obtiznost"] = 1.502,
["reseni"] = {
["float"] = -4.050419623473e-06,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 246888 },
["render"] = "\\frac{3}{-740664}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{246888}",
["y"] = -1,
["z"] = 246888 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.81",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{9}}{10 \\cdot -12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{4}{9}}{10 \\cdot -12})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 20 + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{4\\frac{4}{9}}{10 \\cdot -12})^2}{-17 \\cdot 20 + 1\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.82, bodu=167, $$((-5 - (-14))^2 + (-10 + 3\frac{1}{4})) \cdot 4\frac{5}{13} \cdot (-15 - 3\frac{2}{4})=\textcolor{white}{-6022\frac{85}{104}}$$return {
["body"] = 167,
["id"] = "icMg5f_0505_1725",
["obtiznost"] = 1.4528,
["reseni"] = {
["float"] = -6022.8173076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -626373,
["jmenovatel"] = 104 },
["render"] = "\\frac{-626373}{104}",
["typ"] = "cislo" },
["tex"] = "-6022\\frac{85}{104}",
["x"] = -6022,
["y"] = 85,
["z"] = 104 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-5 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-5 - (-14))^2 + (-10 + 3\\frac{1}{4})",
["typ"] = "plus" },
["render"] = "((-5 - (-14))^2 + (-10 + 3\\frac{1}{4}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "((-5 - (-14))^2 + (-10 + 3\\frac{1}{4})) \\cdot 4\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-15 - 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(-15 - 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "((-5 - (-14))^2 + (-10 + 3\\frac{1}{4})) \\cdot 4\\frac{5}{13} \\cdot (-15 - 3\\frac{2}{4})",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.83, bodu=163, $$\frac{\frac{4\frac{2}{5}}{16}}{2\frac{3}{10} - \frac{-15}{\frac{2\frac{1}{7}}{-13}}}=\textcolor{white}{-\frac{11}{3548}}$$return {
["body"] = 163,
["id"] = "Ox5WkG_0505_1725",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -0.0031003382187148,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 3548 },
["render"] = "\\frac{110}{-35480}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{3548}",
["y"] = -11,
["z"] = 3548 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{2\\frac{1}{7}}{-13}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{10} - \\frac{-15}{\\frac{2\\frac{1}{7}}{-13}}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{4\\frac{2}{5}}{16}}{2\\frac{3}{10} - \\frac{-15}{\\frac{2\\frac{1}{7}}{-13}}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.84, bodu=134, $$\frac{\frac{19}{7} \cdot 3\frac{1}{11}}{-8 + \frac{3\frac{4}{10}}{18}}=\textcolor{white}{-1\frac{211}{2849}}$$return {
["body"] = 134,
["id"] = "FR6JGL_0505_1725",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -1.0740610740611,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3060,
["jmenovatel"] = 2849 },
["render"] = "\\frac{58140}{-54131}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{211}{2849}",
["x"] = -1,
["y"] = 211,
["z"] = 2849 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{19}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{7} \\cdot 3\\frac{1}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10}}{18}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{3\\frac{4}{10}}{18}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{19}{7} \\cdot 3\\frac{1}{11}}{-8 + \\frac{3\\frac{4}{10}}{18}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.85, bodu=135, $$\frac{-19 - 4\frac{3}{5} - (-5)}{4\frac{1}{7} \cdot -10} \cdot -11=\textcolor{white}{-4\frac{1361}{1450}}$$return {
["body"] = 135,
["id"] = "ePBYpz_0505_1725",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -4.9386206896552,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7161,
["jmenovatel"] = 1450 },
["render"] = "\\frac{-7161}{1450}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1361}{1450}",
["x"] = -4,
["y"] = 1361,
["z"] = 1450 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-19 - 4\\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-19 - 4\\frac{3}{5} - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{-19 - 4\\frac{3}{5} - (-5)}{4\\frac{1}{7} \\cdot -10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-19 - 4\\frac{3}{5} - (-5)}{4\\frac{1}{7} \\cdot -10} \\cdot -11",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.86, bodu=150, $$-8 \cdot 6 + 3\frac{2}{5} \cdot (\frac{-11}{10})^2 - 4\frac{3}{6}=\textcolor{white}{-48{,}386}$$return {
["body"] = 150,
["id"] = "YZiyzp_0505_1725",
["obtiznost"] = 1.3484,
["reseni"] = {
["float"] = -48.386,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24193,
["jmenovatel"] = 500 },
["render"] = "\\frac{-24193}{500}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{193}{500}",
["tex_float"] = "-48{,}386",
["x"] = -48,
["y"] = 193,
["z"] = 500 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{10})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{5} \\cdot (\\frac{-11}{10})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} \\cdot (\\frac{-11}{10})^2 - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "-8 \\cdot 6 + 3\\frac{2}{5} \\cdot (\\frac{-11}{10})^2 - 4\\frac{3}{6}",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.87, bodu=113, $$\frac{-12 - 2\frac{5}{11}}{-9 + (-10 - (-11))^4 - (\frac{10}{14})^2}=\textcolor{white}{1\frac{1068}{1529}}$$return {
["body"] = 113,
["id"] = "0ksdI0_0505_1725",
["obtiznost"] = 1.1004,
["reseni"] = {
["float"] = 1.6984957488555,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2597,
["jmenovatel"] = 1529 },
["render"] = "\\frac{-7791}{-4587}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1068}{1529}",
["x"] = 1,
["y"] = 1068,
["z"] = 1529 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-10 - (-11))^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{10}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{14})^2",
["typ"] = "mocnina" },
["render"] = "(-10 - (-11))^4 - (\\frac{10}{14})^2",
["typ"] = "minus" },
["render"] = "-9 + (-10 - (-11))^4 - (\\frac{10}{14})^2",
["typ"] = "plus" },
["render"] = "\\frac{-12 - 2\\frac{5}{11}}{-9 + (-10 - (-11))^4 - (\\frac{10}{14})^2}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.88, bodu=140, $$\frac{-21}{-14 + (-8 + 4\frac{2}{10})} + (\frac{17}{-17})^2 + 1\frac{5}{14}=\textcolor{white}{3\frac{669}{1246}}$$return {
["body"] = 140,
["id"] = "UwKHRi_0505_1725",
["obtiznost"] = 1.2808,
["reseni"] = {
["float"] = 3.5369181380417,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4407,
["jmenovatel"] = 1246 },
["render"] = "\\frac{4407}{1246}",
["typ"] = "cislo" },
["tex"] = "3\\frac{669}{1246}",
["x"] = 3,
["y"] = 669,
["z"] = 1246 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "-14 + (-8 + 4\\frac{2}{10})",
["typ"] = "plus" },
["render"] = "\\frac{-21}{-14 + (-8 + 4\\frac{2}{10})}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{17}{-17})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "(\\frac{17}{-17})^2 + 1\\frac{5}{14}",
["typ"] = "plus" },
["render"] = "\\frac{-21}{-14 + (-8 + 4\\frac{2}{10})} + (\\frac{17}{-17})^2 + 1\\frac{5}{14}",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.89, bodu=127, $$(2 - (-22)) \cdot (\frac{-12}{2\frac{5}{13}} - (-16 + 20)^4)=\textcolor{white}{-6264\frac{24}{31}}$$return {
["body"] = 127,
["id"] = "4C5tlT_0505_1725",
["obtiznost"] = 1.1928,
["reseni"] = {
["float"] = -6264.7741935484,
["objekt"] = {
["hodnota"] = {
["citatel"] = -194208,
["jmenovatel"] = 31 },
["render"] = "\\frac{-194208}{31}",
["typ"] = "cislo" },
["tex"] = "-6264\\frac{24}{31}",
["x"] = -6264,
["y"] = 24,
["z"] = 31 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "2 - (-22)",
["typ"] = "minus" },
["render"] = "(2 - (-22))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-16 + 20",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-16 + 20)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-12}{2\\frac{5}{13}} - (-16 + 20)^4",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{2\\frac{5}{13}} - (-16 + 20)^4)",
["typ"] = "zavorka" },
["render"] = "(2 - (-22)) \\cdot (\\frac{-12}{2\\frac{5}{13}} - (-16 + 20)^4)",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.9, bodu=86, $$(\frac{-9}{7} - (\frac{15}{-18} - (-15))) \cdot -14=\textcolor{white}{216\frac{1}{3}}$$return {
["body"] = 86,
["id"] = "4ZXE20_0505_1725",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 216.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 649,
["jmenovatel"] = 3 },
["render"] = "\\frac{9086}{42}",
["typ"] = "cislo" },
["tex"] = "216\\frac{1}{3}",
["x"] = 216,
["y"] = 1,
["z"] = 3 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-18} - (-15)",
["typ"] = "minus" },
["render"] = "(\\frac{15}{-18} - (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{7} - (\\frac{15}{-18} - (-15))",
["typ"] = "minus" },
["render"] = "(\\frac{-9}{7} - (\\frac{15}{-18} - (-15)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(\\frac{-9}{7} - (\\frac{15}{-18} - (-15))) \\cdot -14",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.91, bodu=130, $$-8 \cdot (2 - 1\frac{3}{13})^2 \cdot -9 + 12 \cdot 13=\textcolor{white}{198\frac{102}{169}}$$return {
["body"] = 130,
["id"] = "b37UA0_0505_1725",
["obtiznost"] = 1.2176,
["reseni"] = {
["float"] = 198.60355029586,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33564,
["jmenovatel"] = 169 },
["render"] = "\\frac{33564}{169}",
["typ"] = "cislo" },
["tex"] = "198\\frac{102}{169}",
["x"] = 198,
["y"] = 102,
["z"] = 169 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 13 },
["render"] = "1\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "2 - 1\\frac{3}{13}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2 - 1\\frac{3}{13})^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot (2 - 1\\frac{3}{13})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot (2 - 1\\frac{3}{13})^2 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["render"] = "-8 \\cdot (2 - 1\\frac{3}{13})^2 \\cdot -9 + 12 \\cdot 13",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.92, bodu=146, $$\frac{-14}{1\frac{4}{7} \cdot 17 \cdot 18} \cdot 2\frac{3}{12}=\textcolor{white}{-\frac{49}{748}}$$return {
["body"] = 146,
["id"] = "LL6kv3_0505_1725",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -0.065508021390374,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 748 },
["render"] = "\\frac{-441}{6732}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{748}",
["y"] = -49,
["z"] = 748 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} \\cdot 17 \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{-14}{1\\frac{4}{7} \\cdot 17 \\cdot 18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{4}{7} \\cdot 17 \\cdot 18} \\cdot 2\\frac{3}{12}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.93, bodu=251, $$2\frac{3}{9} \cdot \frac{3\frac{4}{8} - 4\frac{1}{9} \cdot 3\frac{2}{8}}{17} \cdot 4\frac{5}{8}=\textcolor{white}{-6\frac{3817}{14688}}$$return {
["body"] = 251,
["id"] = "7daoUZ_0505_1725",
["obtiznost"] = 1.93,
["reseni"] = {
["float"] = -6.2598720043573,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91945,
["jmenovatel"] = 14688 },
["render"] = "\\frac{-91945}{14688}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3817}{14688}",
["x"] = -6,
["y"] = 3817,
["z"] = 14688 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{8} - 4\\frac{1}{9} \\cdot 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} - 4\\frac{1}{9} \\cdot 3\\frac{2}{8}}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} - 4\\frac{1}{9} \\cdot 3\\frac{2}{8}}{17} \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{9} \\cdot \\frac{3\\frac{4}{8} - 4\\frac{1}{9} \\cdot 3\\frac{2}{8}}{17} \\cdot 4\\frac{5}{8}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.94, bodu=253, $$\frac{\frac{1\frac{3}{11}}{3\frac{2}{6}} \cdot (3\frac{1}{6} - 3\frac{1}{7}) - 7}{3\frac{4}{12}}=\textcolor{white}{-2\frac{107}{1100}}$$return {
["body"] = 253,
["id"] = "lXWebo_0505_1725",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = -2.0972727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2307,
["jmenovatel"] = 1100 },
["render"] = "\\frac{-2307}{1100}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{107}{1100}",
["x"] = -2,
["y"] = 107,
["z"] = 1100 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{11}}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{6} - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{3}{11}}{3\\frac{2}{6}} \\cdot (3\\frac{1}{6} - 3\\frac{1}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{11}}{3\\frac{2}{6}} \\cdot (3\\frac{1}{6} - 3\\frac{1}{7}) - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{11}}{3\\frac{2}{6}} \\cdot (3\\frac{1}{6} - 3\\frac{1}{7}) - 7}{3\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.95, bodu=218, $$(-16 + (-12)) \cdot \frac{1\frac{2}{8} + 4\frac{2}{11} \cdot 1\frac{2}{8}}{-9 - 1\frac{3}{9}}=\textcolor{white}{17\frac{188}{341}}$$return {
["body"] = 218,
["id"] = "PFGOhJ_0505_1725",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 17.551319648094,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5985,
["jmenovatel"] = 341 },
["render"] = "\\frac{23940}{1364}",
["typ"] = "cislo" },
["tex"] = "17\\frac{188}{341}",
["x"] = 17,
["y"] = 188,
["z"] = 341 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-16 + (-12)",
["typ"] = "plus" },
["render"] = "(-16 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{11} \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} + 4\\frac{2}{11} \\cdot 1\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-9 - 1\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{8} + 4\\frac{2}{11} \\cdot 1\\frac{2}{8}}{-9 - 1\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "(-16 + (-12)) \\cdot \\frac{1\\frac{2}{8} + 4\\frac{2}{11} \\cdot 1\\frac{2}{8}}{-9 - 1\\frac{3}{9}}",
["typ"] = "krat" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.96, bodu=220, $$\frac{-11}{\frac{-15}{4\frac{2}{8}}} + 3\frac{5}{10} + 2\frac{4}{9} + 1\frac{2}{11} - (-22)=\textcolor{white}{32\frac{481}{1980}}$$return {
["body"] = 220,
["id"] = "GBIqSl_0505_1725",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 32.242929292929,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63841,
["jmenovatel"] = 1980 },
["render"] = "\\frac{191523}{5940}",
["typ"] = "cislo" },
["tex"] = "32\\frac{481}{1980}",
["x"] = 32,
["y"] = 481,
["z"] = 1980 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{-15}{4\\frac{2}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{\\frac{-15}{4\\frac{2}{8}}} + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + 1\\frac{2}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + 1\\frac{2}{11} - (-22)",
["typ"] = "minus" },
["render"] = "\\frac{-11}{\\frac{-15}{4\\frac{2}{8}}} + 3\\frac{5}{10} + 2\\frac{4}{9} + 1\\frac{2}{11} - (-22)",
["typ"] = "plus" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.97, bodu=187, $$\frac{19}{2\frac{4}{9} \cdot (12 - (4\frac{3}{8} + 2\frac{4}{12} - (-14)))}=\textcolor{white}{-\frac{108}{121}}$$return {
["body"] = 187,
["id"] = "jgyqiY_0505_1725",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -0.89256198347107,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 121 },
["render"] = "\\frac{2052}{-2299}",
["typ"] = "cislo" },
["tex"] = "-\\frac{108}{121}",
["y"] = -108,
["z"] = 121 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} - (-14)",
["typ"] = "minus" },
["render"] = "4\\frac{3}{8} + 2\\frac{4}{12} - (-14)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + 2\\frac{4}{12} - (-14))",
["typ"] = "zavorka" },
["render"] = "12 - (4\\frac{3}{8} + 2\\frac{4}{12} - (-14))",
["typ"] = "minus" },
["render"] = "(12 - (4\\frac{3}{8} + 2\\frac{4}{12} - (-14)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} \\cdot (12 - (4\\frac{3}{8} + 2\\frac{4}{12} - (-14)))",
["typ"] = "krat" },
["render"] = "\\frac{19}{2\\frac{4}{9} \\cdot (12 - (4\\frac{3}{8} + 2\\frac{4}{12} - (-14)))}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.98, bodu=125, $$\frac{-14}{(16 - 17)^4 \cdot (-13 - (3\frac{1}{2} - (-18)))}=\textcolor{white}{\frac{28}{69}}$$return {
["body"] = 125,
["id"] = "ITkTSX_0505_1725",
["obtiznost"] = 1.1808,
["reseni"] = {
["float"] = 0.40579710144928,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 69 },
["render"] = "\\frac{-28}{-69}",
["typ"] = "cislo" },
["tex"] = "\\frac{28}{69}",
["y"] = 28,
["z"] = 69 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "16 - 17",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(16 - 17)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} - (-18)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{2} - (-18))",
["typ"] = "zavorka" },
["render"] = "-13 - (3\\frac{1}{2} - (-18))",
["typ"] = "minus" },
["render"] = "(-13 - (3\\frac{1}{2} - (-18)))",
["typ"] = "zavorka" },
["render"] = "(16 - 17)^4 \\cdot (-13 - (3\\frac{1}{2} - (-18)))",
["typ"] = "krat" },
["render"] = "\\frac{-14}{(16 - 17)^4 \\cdot (-13 - (3\\frac{1}{2} - (-18)))}",
["typ"] = "lomeno" } }
seed: L7AlUKBhUP9eJgM9gtdX_0.99, bodu=255, $$(\frac{1\frac{3}{12}}{(15 - (-15))^2} - (1\frac{2}{10} - 3\frac{5}{11})) \cdot -14=\textcolor{white}{-31\frac{2309}{3960}}$$return {
["body"] = 255,
["id"] = "sHl9A9_0505_1725",
["obtiznost"] = 1.9504,
["reseni"] = {
["float"] = -31.583080808081,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125069,
["jmenovatel"] = 3960 },
["render"] = "\\frac{-250138}{7920}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{2309}{3960}",
["x"] = -31,
["y"] = 2309,
["z"] = 3960 },
["seed"] = "L7AlUKBhUP9eJgM9gtdX_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
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["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "15 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - (-15))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{12}}{(15 - (-15))^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{10} - 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{3}{12}}{(15 - (-15))^2} - (1\\frac{2}{10} - 3\\frac{5}{11})",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{3}{12}}{(15 - (-15))^2} - (1\\frac{2}{10} - 3\\frac{5}{11}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{12}}{(15 - (-15))^2} - (1\\frac{2}{10} - 3\\frac{5}{11})) \\cdot -14",
["typ"] = "krat" } }
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