- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 9XgNHY9CrdZnZbunL7Fp_0, bodu=5, $$6 \cdot -7 - (-9) - 6=\textcolor{white}{-39}$$return {
["body"] = 5,
["id"] = "7BhTaZ_1019_0148",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 1 },
["render"] = "\\frac{-39}{1}",
["typ"] = "cislo" },
["tex"] = "-39",
["x"] = -39 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 \\cdot -7 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -7 - (-9) - 6",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.01, bodu=5, $$((5 - 6) \cdot 5)^3 \cdot 5=\textcolor{white}{-625}$$return {
["body"] = 5,
["id"] = "rgiO3i_1019_0148",
["obtiznost"] = 0.0604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -625,
["jmenovatel"] = 1 },
["render"] = "\\frac{-625}{1}",
["typ"] = "cislo" },
["tex"] = "-625",
["tex_float"] = "-625",
["x"] = -625 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["render"] = "(5 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(5 - 6) \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((5 - 6) \\cdot 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "((5 - 6) \\cdot 5)^3 \\cdot 5",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.02, bodu=23, $$6 \cdot (\frac{2}{5})^4=\textcolor{white}{\frac{96}{625}}$$return {
["body"] = 23,
["id"] = "kJojGn_1019_0148",
["obtiznost"] = 0.2764,
["reseni"] = {
["float"] = 0.1536,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 625 },
["render"] = "\\frac{96}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{96}{625}",
["y"] = 96,
["z"] = 625 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{2}{5})^4",
["typ"] = "mocnina" },
["render"] = "6 \\cdot (\\frac{2}{5})^4",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.03, bodu=5, $$(6 - 7) \cdot 8 \cdot 6=\textcolor{white}{-48}$$return {
["body"] = 5,
["id"] = "ttLDt0_1019_0148",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["tex_float"] = "-48",
["x"] = -48 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.03",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 - 7",
["typ"] = "minus" },
["render"] = "(6 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["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" },
["render"] = "(6 - 7) \\cdot 8 \\cdot 6",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.04, bodu=10, $$(\frac{-4}{-6})^2 \cdot 7=\textcolor{white}{3\frac{1}{9}}$$return {
["body"] = 10,
["id"] = "k0or2M_1019_0148",
["obtiznost"] = 0.0452,
["reseni"] = {
["float"] = 3.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "\\frac{28}{9}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{9}",
["x"] = 3,
["y"] = 1,
["z"] = 9 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{-4}{-6})^2 \\cdot 7",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.05, bodu=11, $$(\frac{8 + (-8)}{-8 + 8 + 4})^3=\textcolor{white}{0}$$return {
["body"] = 11,
["id"] = "tP7rrF_1019_0148",
["obtiznost"] = 0.0504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 + 8 + 4",
["typ"] = "plus" },
["render"] = "\\frac{8 + (-8)}{-8 + 8 + 4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8 + (-8)}{-8 + 8 + 4})^3",
["typ"] = "mocnina" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.06, bodu=5, $$-7 + 7 + (-4 \cdot 8)=\textcolor{white}{-32}$$return {
["body"] = 5,
["id"] = "zDNof7_1019_0148",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 1 },
["render"] = "\\frac{-32}{1}",
["typ"] = "cislo" },
["tex"] = "-32",
["x"] = -32 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 8",
["typ"] = "krat" },
["render"] = "-7 + 7 + (-4 \\cdot 8)",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.07, bodu=7, $$(6 + 7)^2 - 3 \cdot -8=\textcolor{white}{193}$$return {
["body"] = 7,
["id"] = "OZhXfv_1019_0148",
["obtiznost"] = 0.138,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 193,
["jmenovatel"] = 1 },
["render"] = "\\frac{193}{1}",
["typ"] = "cislo" },
["tex"] = "193",
["x"] = 193 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3 \\cdot -8",
["typ"] = "krat" },
["render"] = "(6 + 7)^2 - 3 \\cdot -8",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.08, bodu=12, $$\frac{7 + 10}{9 + 5}=\textcolor{white}{1\frac{3}{14}}$$return {
["body"] = 12,
["id"] = "LWN2Ao_1019_0148",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 1.2142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 14 },
["render"] = "\\frac{17}{14}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{14}",
["x"] = 1,
["y"] = 3,
["z"] = 14 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["render"] = "\\frac{7 + 10}{9 + 5}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.09, bodu=24, $$(4 + 3\frac{2}{4} + 5) \cdot (7 + 9)=\textcolor{white}{200}$$return {
["body"] = 24,
["id"] = "wA0wdN_1019_0148",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 1 },
["render"] = "\\frac{400}{2}",
["typ"] = "cislo" },
["tex"] = "200",
["tex_float"] = "200",
["x"] = 200 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.09",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "4 + 3\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "(4 + 3\\frac{2}{4} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["render"] = "(7 + 9)",
["typ"] = "zavorka" },
["render"] = "(4 + 3\\frac{2}{4} + 5) \\cdot (7 + 9)",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.1, bodu=24, $$5 \cdot 7 \cdot 3\frac{2}{6}=\textcolor{white}{116\frac{2}{3}}$$return {
["body"] = 24,
["id"] = "cMLZfz_1019_0148",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 116.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 350,
["jmenovatel"] = 3 },
["render"] = "\\frac{350}{3}",
["typ"] = "cislo" },
["tex"] = "116\\frac{2}{3}",
["x"] = 116,
["y"] = 2,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "5 \\cdot 7 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.11, bodu=13, $$\frac{12}{10 \cdot -4}=\textcolor{white}{-0{,}3}$$return {
["body"] = 13,
["id"] = "33U0sw_1019_0148",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = -0.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 10 },
["render"] = "\\frac{12}{-40}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{10}",
["tex_float"] = "-0{,}3",
["y"] = -3,
["z"] = 10 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "10 \\cdot -4",
["typ"] = "krat" },
["render"] = "\\frac{12}{10 \\cdot -4}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.12, bodu=26, $$\frac{5}{-3} \cdot (4\frac{3}{5} - 9)=\textcolor{white}{7\frac{1}{3}}$$return {
["body"] = 26,
["id"] = "C81Jry_1019_0148",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 7.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 3 },
["render"] = "\\frac{110}{15}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{3}",
["x"] = 7,
["y"] = 1,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} - 9",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{5} - 9)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{-3} \\cdot (4\\frac{3}{5} - 9)",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.13, bodu=36, $$(\frac{4}{-9})^3 \cdot 11=\textcolor{white}{-\frac{704}{729}}$$return {
["body"] = 36,
["id"] = "KeeUdF_1019_0148",
["obtiznost"] = 0.4472,
["reseni"] = {
["float"] = -0.96570644718793,
["objekt"] = {
["hodnota"] = {
["citatel"] = -704,
["jmenovatel"] = 729 },
["render"] = "\\frac{-704}{729}",
["typ"] = "cislo" },
["tex"] = "-\\frac{704}{729}",
["y"] = -704,
["z"] = 729 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.13",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{-9})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(\\frac{4}{-9})^3 \\cdot 11",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.14, bodu=14, $$\frac{9}{13 \cdot 11}=\textcolor{white}{\frac{9}{143}}$$return {
["body"] = 14,
["id"] = "AHIFhi_1019_0148",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 0.062937062937063,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 143 },
["render"] = "\\frac{9}{143}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{143}",
["y"] = 9,
["z"] = 143 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{9}{13 \\cdot 11}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.15, bodu=15, $$\frac{\frac{11}{9}}{(6 - 6)^4 + 5}=\textcolor{white}{\frac{11}{45}}$$return {
["body"] = 15,
["id"] = "NcLzue_1019_0148",
["obtiznost"] = 0.1504,
["reseni"] = {
["float"] = 0.24444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 45 },
["render"] = "\\frac{11}{45}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{45}",
["y"] = 11,
["z"] = 45 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = 4,
["render"] = "(6 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(6 - 6)^4 + 5",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{11}{9}}{(6 - 6)^4 + 5}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.16, bodu=15, $$10 \cdot \frac{9}{3}=\textcolor{white}{30}$$return {
["body"] = 15,
["id"] = "nWuoyz_1019_0148",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["tex_float"] = "30",
["x"] = 30 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{9}{3}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.17, bodu=30, $$10 + 4\frac{1}{3} \cdot 7 + 13=\textcolor{white}{53\frac{1}{3}}$$return {
["body"] = 30,
["id"] = "JqOIXA_1019_0148",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 53.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 160,
["jmenovatel"] = 3 },
["render"] = "\\frac{160}{3}",
["typ"] = "cislo" },
["tex"] = "53\\frac{1}{3}",
["x"] = 53,
["y"] = 1,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot 7 + 13",
["typ"] = "plus" },
["render"] = "10 + 4\\frac{1}{3} \\cdot 7 + 13",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.18, bodu=16, $$\frac{\frac{6}{-4}}{12}=\textcolor{white}{-0{,}125}$$return {
["body"] = 16,
["id"] = "VjESZL_1019_0148",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 8 },
["render"] = "\\frac{-3}{24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{8}",
["tex_float"] = "-0{,}125",
["y"] = -1,
["z"] = 8 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{-4}}{12}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.19, bodu=31, $$8 \cdot (3 + 4\frac{3}{7} - (11 + (-9)))=\textcolor{white}{43\frac{3}{7}}$$return {
["body"] = 31,
["id"] = "XWj8KW_1019_0148",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 43.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 304,
["jmenovatel"] = 7 },
["render"] = "\\frac{304}{7}",
["typ"] = "cislo" },
["tex"] = "43\\frac{3}{7}",
["x"] = 43,
["y"] = 3,
["z"] = 7 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3 + 4\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + (-9)",
["typ"] = "plus" },
["render"] = "(11 + (-9))",
["typ"] = "zavorka" },
["render"] = "3 + 4\\frac{3}{7} - (11 + (-9))",
["typ"] = "minus" },
["render"] = "(3 + 4\\frac{3}{7} - (11 + (-9)))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (3 + 4\\frac{3}{7} - (11 + (-9)))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.2, bodu=18, $$\frac{8}{(6 - (7 - 4))^3 + 4}=\textcolor{white}{\frac{8}{31}}$$return {
["body"] = 18,
["id"] = "TqNrpm_1019_0148",
["obtiznost"] = 0.2112,
["reseni"] = {
["float"] = 0.25806451612903,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 31 },
["render"] = "\\frac{8}{31}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{31}",
["y"] = 8,
["z"] = 31 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["render"] = "(7 - 4)",
["typ"] = "zavorka" },
["render"] = "6 - (7 - 4)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - (7 - 4))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(6 - (7 - 4))^3 + 4",
["typ"] = "plus" },
["render"] = "\\frac{8}{(6 - (7 - 4))^3 + 4}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.21, bodu=18, $$\frac{7 + 9}{\frac{11}{5}}=\textcolor{white}{7\frac{3}{11}}$$return {
["body"] = 18,
["id"] = "z67qoo_1019_0148",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 7.2727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 11 },
["render"] = "\\frac{80}{11}",
["typ"] = "cislo" },
["tex"] = "7\\frac{3}{11}",
["x"] = 7,
["y"] = 3,
["z"] = 11 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{11}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{7 + 9}{\\frac{11}{5}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.22, bodu=34, $$\frac{12 + 8 \cdot 3\frac{3}{8}}{-8}=\textcolor{white}{-4{,}875}$$return {
["body"] = 34,
["id"] = "rdnebQ_1019_0148",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -4.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 8 },
["render"] = "\\frac{39}{-8}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{7}{8}",
["tex_float"] = "-4{,}875",
["x"] = -4,
["y"] = 7,
["z"] = 8 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "12 + 8 \\cdot 3\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 8 \\cdot 3\\frac{3}{8}}{-8}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.23, bodu=55, $$\frac{4}{\frac{4\frac{2}{7}}{9}} + 1\frac{4}{7}=\textcolor{white}{9\frac{34}{35}}$$return {
["body"] = 55,
["id"] = "ih8xrO_1019_0148",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 9.9714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 349,
["jmenovatel"] = 35 },
["render"] = "\\frac{349}{35}",
["typ"] = "cislo" },
["tex"] = "9\\frac{34}{35}",
["x"] = 9,
["y"] = 34,
["z"] = 35 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{4\\frac{2}{7}}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{\\frac{4\\frac{2}{7}}{9}} + 1\\frac{4}{7}",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.24, bodu=20, $$\frac{-11 + 8 + 13 \cdot -12}{10}=\textcolor{white}{-15{,}9}$$return {
["body"] = 20,
["id"] = "qvOzzD_1019_0148",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -15.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -159,
["jmenovatel"] = 10 },
["render"] = "\\frac{-159}{10}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{9}{10}",
["tex_float"] = "-15{,}9",
["x"] = -15,
["y"] = 9,
["z"] = 10 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "13 \\cdot -12",
["typ"] = "krat" },
["render"] = "-11 + 8 + 13 \\cdot -12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11 + 8 + 13 \\cdot -12}{10}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.25, bodu=21, $$7 \cdot \frac{10}{7} - (-7)=\textcolor{white}{17}$$return {
["body"] = 21,
["id"] = "Vyaq8n_1019_0148",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{10}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "7 \\cdot \\frac{10}{7} - (-7)",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.26, bodu=10, $$9 \cdot -9 + 9 \cdot 8=\textcolor{white}{-9}$$return {
["body"] = 10,
["id"] = "3Nk3DL_1019_0148",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9}{1}",
["typ"] = "cislo" },
["tex"] = "-9",
["x"] = -9 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["render"] = "9 \\cdot -9 + 9 \\cdot 8",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.27, bodu=39, $$\frac{(\frac{-12}{7 + 5})^3}{4\frac{3}{7}}=\textcolor{white}{-\frac{7}{31}}$$return {
["body"] = 39,
["id"] = "fH2tug_1019_0148",
["obtiznost"] = 0.4708,
["reseni"] = {
["float"] = -0.2258064516129,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 31 },
["render"] = "\\frac{-7}{31}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{31}",
["y"] = -7,
["z"] = 31 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.27",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "\\frac{-12}{7 + 5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-12}{7 + 5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-12}{7 + 5})^3}{4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.28, bodu=11, $$8 \cdot 11 \cdot (-8 - (-7))=\textcolor{white}{-88}$$return {
["body"] = 11,
["id"] = "cWKs6s_1019_0148",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -88,
["jmenovatel"] = 1 },
["render"] = "\\frac{-88}{1}",
["typ"] = "cislo" },
["tex"] = "-88",
["tex_float"] = "-88",
["x"] = -88 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 - (-7)",
["typ"] = "minus" },
["render"] = "(-8 - (-7))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 11 \\cdot (-8 - (-7))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.29, bodu=29, $$\frac{(\frac{8}{11})^2}{9 + 11}=\textcolor{white}{\frac{16}{605}}$$return {
["body"] = 29,
["id"] = "JGCyv1_1019_0148",
["obtiznost"] = 0.364,
["reseni"] = {
["float"] = 0.026446280991736,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 605 },
["render"] = "\\frac{64}{2420}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{605}",
["y"] = 16,
["z"] = 605 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.29",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{8}{11})^2}{9 + 11}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.3, bodu=28, $$\frac{11}{(\frac{10}{-10 - 8})^2}=\textcolor{white}{35{,}64}$$return {
["body"] = 28,
["id"] = "f153x3_1019_0148",
["obtiznost"] = 0.3424,
["reseni"] = {
["float"] = 35.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = 891,
["jmenovatel"] = 25 },
["render"] = "\\frac{891}{25}",
["typ"] = "cislo" },
["tex"] = "35\\frac{16}{25}",
["tex_float"] = "35{,}64",
["x"] = 35,
["y"] = 16,
["z"] = 25 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 - 8",
["typ"] = "minus" },
["render"] = "\\frac{10}{-10 - 8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-10 - 8})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(\\frac{10}{-10 - 8})^2}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.31, bodu=63, $$3\frac{3}{7} - (-13) - (-3 - 3\frac{2}{4} + 6)=\textcolor{white}{16\frac{13}{14}}$$return {
["body"] = 63,
["id"] = "lUQ90G_1019_0148",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 16.928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 237,
["jmenovatel"] = 14 },
["render"] = "\\frac{237}{14}",
["typ"] = "cislo" },
["tex"] = "16\\frac{13}{14}",
["x"] = 16,
["y"] = 13,
["z"] = 14 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} - (-13)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-3 - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 - 3\\frac{2}{4} + 6",
["typ"] = "plus" },
["render"] = "(-3 - 3\\frac{2}{4} + 6)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} - (-13) - (-3 - 3\\frac{2}{4} + 6)",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.32, bodu=64, $$\frac{-9 + 3\frac{4}{9} \cdot 1\frac{5}{7}}{7}=\textcolor{white}{-\frac{65}{147}}$$return {
["body"] = 64,
["id"] = "3uqSHi_1019_0148",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -0.4421768707483,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 147 },
["render"] = "\\frac{-65}{147}",
["typ"] = "cislo" },
["tex"] = "-\\frac{65}{147}",
["y"] = -65,
["z"] = 147 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot 1\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "-9 + 3\\frac{4}{9} \\cdot 1\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 3\\frac{4}{9} \\cdot 1\\frac{5}{7}}{7}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.33, bodu=27, $$\frac{-2}{12 + (2 - (9 + (-8))^2)^3}=\textcolor{white}{-\frac{2}{13}}$$return {
["body"] = 27,
["id"] = "CEwPcU_1019_0148",
["obtiznost"] = 0.3316,
["reseni"] = {
["float"] = -0.15384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2}{13}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{13}",
["y"] = -2,
["z"] = 13 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (-8))^2",
["typ"] = "mocnina" },
["render"] = "2 - (9 + (-8))^2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2 - (9 + (-8))^2)^3",
["typ"] = "mocnina" },
["render"] = "12 + (2 - (9 + (-8))^2)^3",
["typ"] = "plus" },
["render"] = "\\frac{-2}{12 + (2 - (9 + (-8))^2)^3}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.34, bodu=13, $$11 - (13 - 9) \cdot -10=\textcolor{white}{51}$$return {
["body"] = 13,
["id"] = "UketAm_1019_0148",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 1 },
["render"] = "\\frac{51}{1}",
["typ"] = "cislo" },
["tex"] = "51",
["tex_float"] = "51",
["x"] = 51 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 - 9",
["typ"] = "minus" },
["render"] = "(13 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(13 - 9) \\cdot -10",
["typ"] = "krat" },
["render"] = "11 - (13 - 9) \\cdot -10",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.35, bodu=29, $$-12 + (-12 \cdot (\frac{10}{15})^3)=\textcolor{white}{-15\frac{5}{9}}$$return {
["body"] = 29,
["id"] = "r25vPu_1019_0148",
["obtiznost"] = 0.364,
["reseni"] = {
["float"] = -15.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -140,
["jmenovatel"] = 9 },
["render"] = "\\frac{-140}{9}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{5}{9}",
["x"] = -15,
["y"] = 5,
["z"] = 9 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{10}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{15})^3",
["typ"] = "mocnina" },
["render"] = "-12 \\cdot (\\frac{10}{15})^3",
["typ"] = "krat" },
["render"] = "-12 + (-12 \\cdot (\\frac{10}{15})^3)",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.36, bodu=47, $$\frac{9}{-11} - \frac{3\frac{1}{6}}{16}=\textcolor{white}{-1\frac{17}{1056}}$$return {
["body"] = 47,
["id"] = "LwHmAv_1019_0148",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -1.0160984848485,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1073,
["jmenovatel"] = 1056 },
["render"] = "\\frac{-1073}{1056}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{17}{1056}",
["x"] = -1,
["y"] = 17,
["z"] = 1056 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{-11} - \\frac{3\\frac{1}{6}}{16}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.37, bodu=48, $$-5 - (3 - 9 \cdot 1\frac{5}{10})=\textcolor{white}{5{,}5}$$return {
["body"] = 48,
["id"] = "tpeiMy_1019_0148",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 5.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2 },
["render"] = "\\frac{11}{2}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{2}",
["tex_float"] = "5{,}5",
["x"] = 5,
["y"] = 1,
["z"] = 2 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["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 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "3 - 9 \\cdot 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(3 - 9 \\cdot 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "-5 - (3 - 9 \\cdot 1\\frac{5}{10})",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.38, bodu=49, $$\frac{10 \cdot 15 \cdot 10}{3\frac{4}{7}}=\textcolor{white}{420}$$return {
["body"] = 49,
["id"] = "1u6WZs_1019_0148",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 420,
["jmenovatel"] = 1 },
["render"] = "\\frac{10500}{25}",
["typ"] = "cislo" },
["tex"] = "420",
["x"] = 420 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 10",
["typ"] = "krat" },
["render"] = "10 \\cdot 15 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 15 \\cdot 10}{3\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.39, bodu=73, $$12 + 16 - 4\frac{5}{10} - \frac{3\frac{4}{11}}{-6}=\textcolor{white}{24\frac{2}{33}}$$return {
["body"] = 73,
["id"] = "qsVVrB_1019_0148",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 24.060606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 794,
["jmenovatel"] = 33 },
["render"] = "\\frac{3176}{132}",
["typ"] = "cislo" },
["tex"] = "24\\frac{2}{33}",
["x"] = 24,
["y"] = 2,
["z"] = 33 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "12 + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "12 + 16 - 4\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{-6}",
["typ"] = "lomeno" },
["render"] = "12 + 16 - 4\\frac{5}{10} - \\frac{3\\frac{4}{11}}{-6}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.4, bodu=51, $$7 \cdot (2\frac{1}{6} + (-8 \cdot -7 \cdot 11))=\textcolor{white}{4327\frac{1}{6}}$$return {
["body"] = 51,
["id"] = "aTDw8a_1019_0148",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 4327.1666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25963,
["jmenovatel"] = 6 },
["render"] = "\\frac{25963}{6}",
["typ"] = "cislo" },
["tex"] = "4327\\frac{1}{6}",
["x"] = 4327,
["y"] = 1,
["z"] = 6 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -7 \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.41, bodu=75, $$8 \cdot (-7 + \frac{1\frac{3}{6} - 10}{3\frac{5}{11}} + 13)=\textcolor{white}{28\frac{6}{19}}$$return {
["body"] = 75,
["id"] = "Pu6ykj_1019_0148",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 28.315789473684,
["objekt"] = {
["hodnota"] = {
["citatel"] = 538,
["jmenovatel"] = 19 },
["render"] = "\\frac{2152}{76}",
["typ"] = "cislo" },
["tex"] = "28\\frac{6}{19}",
["x"] = 28,
["y"] = 6,
["z"] = 19 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13",
["typ"] = "plus" },
["render"] = "-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13",
["typ"] = "plus" },
["render"] = "(-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13)",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.42, bodu=53, $$-11 \cdot 1\frac{2}{7} \cdot \frac{8}{14}=\textcolor{white}{-8\frac{4}{49}}$$return {
["body"] = 53,
["id"] = "SQ0znx_1019_0148",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -8.0816326530612,
["objekt"] = {
["hodnota"] = {
["citatel"] = -396,
["jmenovatel"] = 49 },
["render"] = "\\frac{-396}{49}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{49}",
["x"] = -8,
["y"] = 4,
["z"] = 49 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{7} \\cdot \\frac{8}{14}",
["typ"] = "krat" },
["render"] = "-11 \\cdot 1\\frac{2}{7} \\cdot \\frac{8}{14}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.43, bodu=78, $$(10 + 1\frac{1}{9}) \cdot \frac{16}{4\frac{3}{6}} \cdot 10=\textcolor{white}{395\frac{5}{81}}$$return {
["body"] = 78,
["id"] = "JfDBRn_1019_0148",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 395.06172839506,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32000,
["jmenovatel"] = 81 },
["render"] = "\\frac{32000}{81}",
["typ"] = "cislo" },
["tex"] = "395\\frac{5}{81}",
["x"] = 395,
["y"] = 5,
["z"] = 81 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{16}{4\\frac{3}{6}} \\cdot 10",
["typ"] = "krat" },
["render"] = "(10 + 1\\frac{1}{9}) \\cdot \\frac{16}{4\\frac{3}{6}} \\cdot 10",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.44, bodu=50, $$(\frac{14}{\frac{-6 \cdot 9}{9}})^3=\textcolor{white}{-12\frac{19}{27}}$$return {
["body"] = 50,
["id"] = "sgO1EY_1019_0148",
["obtiznost"] = 0.588,
["reseni"] = {
["float"] = -12.703703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 27 },
["render"] = "\\frac{-343}{27}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{19}{27}",
["x"] = -12,
["y"] = 19,
["z"] = 27 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.44",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot 9}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{-6 \\cdot 9}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{\\frac{-6 \\cdot 9}{9}})^3",
["typ"] = "mocnina" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.45, bodu=106, $$\frac{3\frac{1}{4}}{15} + 2\frac{1}{4} + 12 + 1\frac{2}{7} - 6=\textcolor{white}{9\frac{79}{105}}$$return {
["body"] = 106,
["id"] = "yJFXa8_1019_0148",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 9.752380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1024,
["jmenovatel"] = 105 },
["render"] = "\\frac{1024}{105}",
["typ"] = "cislo" },
["tex"] = "9\\frac{79}{105}",
["x"] = 9,
["y"] = 79,
["z"] = 105 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12 + 1\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12 + 1\\frac{2}{7} - 6",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.46, bodu=81, $$1\frac{4}{6} \cdot 5 - (15 \cdot 1\frac{4}{9} + 2)=\textcolor{white}{-15\frac{1}{3}}$$return {
["body"] = 81,
["id"] = "AOt0CK_1019_0148",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -15.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -46,
["jmenovatel"] = 3 },
["render"] = "\\frac{-46}{3}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{1}{3}",
["x"] = -15,
["y"] = 1,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{4}{9} + 2",
["typ"] = "plus" },
["render"] = "(15 \\cdot 1\\frac{4}{9} + 2)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{6} \\cdot 5 - (15 \\cdot 1\\frac{4}{9} + 2)",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.47, bodu=109, $$((4\frac{1}{7} - 10) \cdot 12 - 2\frac{5}{9}) \cdot 2\frac{3}{7}=\textcolor{white}{-176\frac{397}{441}}$$return {
["body"] = 109,
["id"] = "TMnsEY_1019_0148",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -176.90022675737,
["objekt"] = {
["hodnota"] = {
["citatel"] = -78013,
["jmenovatel"] = 441 },
["render"] = "\\frac{-78013}{441}",
["typ"] = "cislo" },
["tex"] = "-176\\frac{397}{441}",
["x"] = -176,
["y"] = 397,
["z"] = 441 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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} - 10",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{7} - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} - 10) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "((4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "((4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9}) \\cdot 2\\frac{3}{7}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.48, bodu=60, $$\frac{-10}{13} - (2\frac{3}{10} - 8) \cdot 2\frac{2}{2}=\textcolor{white}{16\frac{43}{130}}$$return {
["body"] = 60,
["id"] = "54Wimg_1019_0148",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 16.330769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2123,
["jmenovatel"] = 130 },
["render"] = "\\frac{2123}{130}",
["typ"] = "cislo" },
["tex"] = "16\\frac{43}{130}",
["x"] = 16,
["y"] = 43,
["z"] = 130 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 8",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} - 8) \\cdot 2\\frac{2}{2}",
["typ"] = "krat" },
["render"] = "\\frac{-10}{13} - (2\\frac{3}{10} - 8) \\cdot 2\\frac{2}{2}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.49, bodu=23, $$11 - (12 - (-13 - (-6)) - 6)^2=\textcolor{white}{-158}$$return {
["body"] = 23,
["id"] = "z4OAX5_1019_0148",
["obtiznost"] = 0.558,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -158,
["jmenovatel"] = 1 },
["render"] = "\\frac{-158}{1}",
["typ"] = "cislo" },
["tex"] = "-158",
["x"] = -158 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-13 - (-6)",
["typ"] = "minus" },
["render"] = "(-13 - (-6))",
["typ"] = "zavorka" },
["render"] = "12 - (-13 - (-6))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 - (-13 - (-6)) - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (-13 - (-6)) - 6)^2",
["typ"] = "mocnina" },
["render"] = "11 - (12 - (-13 - (-6)) - 6)^2",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.5, bodu=86, $$\frac{\frac{4\frac{5}{9}}{10}}{11 - 4\frac{3}{8} + 15}=\textcolor{white}{\frac{164}{7785}}$$return {
["body"] = 86,
["id"] = "9cU0de_1019_0148",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 0.02106615285806,
["objekt"] = {
["hodnota"] = {
["citatel"] = 164,
["jmenovatel"] = 7785 },
["render"] = "\\frac{328}{15570}",
["typ"] = "cislo" },
["tex"] = "\\frac{164}{7785}",
["y"] = 164,
["z"] = 7785 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{8} + 15",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{5}{9}}{10}}{11 - 4\\frac{3}{8} + 15}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.51, bodu=63, $$(-9 - (2\frac{4}{6} + 11)) \cdot (-5 - 11)=\textcolor{white}{362\frac{2}{3}}$$return {
["body"] = 63,
["id"] = "dMyO9K_1019_0148",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 362.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1088,
["jmenovatel"] = 3 },
["render"] = "\\frac{1088}{3}",
["typ"] = "cislo" },
["tex"] = "362\\frac{2}{3}",
["x"] = 362,
["y"] = 2,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 11",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + 11)",
["typ"] = "zavorka" },
["render"] = "-9 - (2\\frac{4}{6} + 11)",
["typ"] = "minus" },
["render"] = "(-9 - (2\\frac{4}{6} + 11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["render"] = "(-5 - 11)",
["typ"] = "zavorka" },
["render"] = "(-9 - (2\\frac{4}{6} + 11)) \\cdot (-5 - 11)",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.52, bodu=64, $$\frac{(6 \cdot 11 + (-10)) \cdot 2\frac{4}{9}}{-8}=\textcolor{white}{-17\frac{1}{9}}$$return {
["body"] = 64,
["id"] = "jOL1DG_1019_0148",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -17.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -154,
["jmenovatel"] = 9 },
["render"] = "\\frac{1232}{-72}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{1}{9}",
["x"] = -17,
["y"] = 1,
["z"] = 9 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11 + (-10)",
["typ"] = "plus" },
["render"] = "(6 \\cdot 11 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 11 + (-10)) \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(6 \\cdot 11 + (-10)) \\cdot 2\\frac{4}{9}}{-8}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.53, bodu=118, $$3 - (4\frac{3}{6} + 1\frac{2}{8} + (4\frac{1}{5} + 12) \cdot 12)=\textcolor{white}{-197{,}15}$$return {
["body"] = 118,
["id"] = "Cfneum_1019_0148",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -197.15,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3943,
["jmenovatel"] = 20 },
["render"] = "\\frac{-3943}{20}",
["typ"] = "cislo" },
["tex"] = "-197\\frac{3}{20}",
["tex_float"] = "-197{,}15",
["x"] = -197,
["y"] = 3,
["z"] = 20 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{5} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{5} + 12) \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12",
["typ"] = "plus" },
["render"] = "4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "3 - (4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12)",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.54, bodu=45, $$-2 - (\frac{12}{6} - (-10 \cdot 12))=\textcolor{white}{-124}$$return {
["body"] = 45,
["id"] = "5lfRD8_1019_0148",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -124,
["jmenovatel"] = 1 },
["render"] = "\\frac{-124}{1}",
["typ"] = "cislo" },
["tex"] = "-124",
["tex_float"] = "-124",
["x"] = -124 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6}",
["typ"] = "lomeno" },
["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{12}{6} - (-10 \\cdot 12)",
["typ"] = "minus" },
["render"] = "(\\frac{12}{6} - (-10 \\cdot 12))",
["typ"] = "zavorka" },
["render"] = "-2 - (\\frac{12}{6} - (-10 \\cdot 12))",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.55, bodu=68, $$\frac{-9 - (-9 - 1\frac{3}{7}) \cdot 11}{-13}=\textcolor{white}{-8\frac{12}{91}}$$return {
["body"] = 68,
["id"] = "7gvEup_1019_0148",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -8.1318681318681,
["objekt"] = {
["hodnota"] = {
["citatel"] = -740,
["jmenovatel"] = 91 },
["render"] = "\\frac{740}{-91}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{12}{91}",
["x"] = -8,
["y"] = 12,
["z"] = 91 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-9 - 1\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(-9 - 1\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-9 - 1\\frac{3}{7}) \\cdot 11",
["typ"] = "krat" },
["render"] = "-9 - (-9 - 1\\frac{3}{7}) \\cdot 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (-9 - 1\\frac{3}{7}) \\cdot 11}{-13}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.56, bodu=78, $$\frac{(4\frac{2}{10} - 5)^3 - (-13)}{-9 + 11}=\textcolor{white}{6{,}244}$$return {
["body"] = 78,
["id"] = "SrjfsX_1019_0148",
["obtiznost"] = 0.8356,
["reseni"] = {
["float"] = 6.244,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1561,
["jmenovatel"] = 250 },
["render"] = "\\frac{1561}{250}",
["typ"] = "cislo" },
["tex"] = "6\\frac{61}{250}",
["tex_float"] = "6{,}244",
["x"] = 6,
["y"] = 61,
["z"] = 250 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{2}{10} - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{10} - 5)^3 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 + 11",
["typ"] = "plus" },
["render"] = "\\frac{(4\\frac{2}{10} - 5)^3 - (-13)}{-9 + 11}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.57, bodu=95, $$1\frac{1}{6} - (-10 \cdot (-19 - 3\frac{3}{7}) - (-9))=\textcolor{white}{-232\frac{5}{42}}$$return {
["body"] = 95,
["id"] = "CpDdwu_1019_0148",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -232.11904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9749,
["jmenovatel"] = 42 },
["render"] = "\\frac{-9749}{42}",
["typ"] = "cislo" },
["tex"] = "-232\\frac{5}{42}",
["x"] = -232,
["y"] = 5,
["z"] = 42 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-19 - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(-19 - 3\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (-19 - 3\\frac{3}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9)",
["typ"] = "minus" },
["render"] = "(-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} - (-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9))",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.58, bodu=97, $$\frac{3\frac{3}{4} \cdot 17}{-16} \cdot 4\frac{5}{8}=\textcolor{white}{-18\frac{219}{512}}$$return {
["body"] = 97,
["id"] = "MYPVmW_1019_0148",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -18.427734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9435,
["jmenovatel"] = 512 },
["render"] = "\\frac{-9435}{512}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{219}{512}",
["x"] = -18,
["y"] = 219,
["z"] = 512 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{4} \\cdot 17}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{4} \\cdot 17}{-16} \\cdot 4\\frac{5}{8}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.59, bodu=98, $$\frac{-13}{\frac{2\frac{1}{6} \cdot 2\frac{1}{4}}{17 - 2\frac{3}{3}}}=\textcolor{white}{-37\frac{1}{3}}$$return {
["body"] = 98,
["id"] = "g5Oabr_1019_0148",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -37.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -112,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1456}{39}",
["typ"] = "cislo" },
["tex"] = "-37\\frac{1}{3}",
["x"] = -37,
["y"] = 1,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{3}{3}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{6} \\cdot 2\\frac{1}{4}}{17 - 2\\frac{3}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{2\\frac{1}{6} \\cdot 2\\frac{1}{4}}{17 - 2\\frac{3}{3}}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.6, bodu=74, $$6 \cdot -7 \cdot \frac{4}{15 - 3\frac{5}{8}}=\textcolor{white}{-14\frac{10}{13}}$$return {
["body"] = 74,
["id"] = "WKBMPA_1019_0148",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -14.769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -192,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1344}{91}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{10}{13}",
["x"] = -14,
["y"] = 10,
["z"] = 13 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "\\frac{4}{15 - 3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot -7 \\cdot \\frac{4}{15 - 3\\frac{5}{8}}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.61, bodu=75, $$(16 - 8) \cdot \frac{12}{4\frac{2}{6} - 7}=\textcolor{white}{-36}$$return {
["body"] = 75,
["id"] = "0p6wbM_1019_0148",
["obtiznost"] = 0.81,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 1 },
["render"] = "\\frac{-72}{2}",
["typ"] = "cislo" },
["tex"] = "-36",
["x"] = -36 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "16 - 8",
["typ"] = "minus" },
["render"] = "(16 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 7",
["typ"] = "minus" },
["render"] = "\\frac{12}{4\\frac{2}{6} - 7}",
["typ"] = "lomeno" },
["render"] = "(16 - 8) \\cdot \\frac{12}{4\\frac{2}{6} - 7}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.62, bodu=87, $$\frac{4\frac{1}{5} + 11}{\frac{-9}{(\frac{-13}{6})^2}}=\textcolor{white}{-7\frac{376}{405}}$$return {
["body"] = 87,
["id"] = "RfR6sR_1019_0148",
["obtiznost"] = 0.902,
["reseni"] = {
["float"] = -7.9283950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3211,
["jmenovatel"] = 405 },
["render"] = "\\frac{12844}{-1620}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{376}{405}",
["x"] = -7,
["y"] = 376,
["z"] = 405 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-9}{(\\frac{-13}{6})^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{5} + 11}{\\frac{-9}{(\\frac{-13}{6})^2}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.63, bodu=104, $$\frac{3\frac{5}{9} - (-9)}{\frac{10 + 1\frac{2}{7}}{-15}} + 6=\textcolor{white}{-10\frac{163}{237}}$$return {
["body"] = 104,
["id"] = "LYDOLv_1019_0148",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -10.68776371308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2533,
["jmenovatel"] = 237 },
["render"] = "\\frac{-2533}{237}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{163}{237}",
["x"] = -10,
["y"] = 163,
["z"] = 237 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 1\\frac{2}{7}}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{9} - (-9)}{\\frac{10 + 1\\frac{2}{7}}{-15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9} - (-9)}{\\frac{10 + 1\\frac{2}{7}}{-15}} + 6",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.64, bodu=136, $$12 + \frac{2\frac{4}{10}}{2\frac{1}{6} - 11} - (-16 - 7)^2=\textcolor{white}{-517\frac{72}{265}}$$return {
["body"] = 136,
["id"] = "HlRIpH_1019_0148",
["obtiznost"] = 1.252,
["reseni"] = {
["float"] = -517.27169811321,
["objekt"] = {
["hodnota"] = {
["citatel"] = -137077,
["jmenovatel"] = 265 },
["render"] = "\\frac{-137077}{265}",
["typ"] = "cislo" },
["tex"] = "-517\\frac{72}{265}",
["x"] = -517,
["y"] = 72,
["z"] = 265 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 11",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-16 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - 7)^2",
["typ"] = "mocnina" },
["render"] = "12 + \\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11} - (-16 - 7)^2",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.65, bodu=106, $$\frac{9}{5} - \frac{2\frac{1}{8}}{1\frac{3}{9} - 11}=\textcolor{white}{2\frac{23}{1160}}$$return {
["body"] = 106,
["id"] = "QFLwAo_1019_0148",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 2.0198275862069,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2343,
["jmenovatel"] = 1160 },
["render"] = "\\frac{2343}{1160}",
["typ"] = "cislo" },
["tex"] = "2\\frac{23}{1160}",
["x"] = 2,
["y"] = 23,
["z"] = 1160 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 11",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{8}}{1\\frac{3}{9} - 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{5} - \\frac{2\\frac{1}{8}}{1\\frac{3}{9} - 11}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.66, bodu=108, $$\frac{\frac{4\frac{3}{8} \cdot 15}{2\frac{2}{8} \cdot -15}}{-16}=\textcolor{white}{\frac{35}{288}}$$return {
["body"] = 108,
["id"] = "Fl2jQY_1019_0148",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 0.12152777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 288 },
["render"] = "\\frac{-35}{-288}",
["typ"] = "cislo" },
["tex"] = "\\frac{35}{288}",
["y"] = 35,
["z"] = 288 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{8} \\cdot 15}{2\\frac{2}{8} \\cdot -15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{8} \\cdot 15}{2\\frac{2}{8} \\cdot -15}}{-16}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.67, bodu=109, $$\frac{12 \cdot -7}{\frac{\frac{4\frac{5}{12}}{-16}}{3\frac{1}{6}}}=\textcolor{white}{963\frac{33}{53}}$$return {
["body"] = 109,
["id"] = "OG7WCU_1019_0148",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 963.62264150943,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51072,
["jmenovatel"] = 53 },
["render"] = "\\frac{-51072}{-53}",
["typ"] = "cislo" },
["tex"] = "963\\frac{33}{53}",
["x"] = 963,
["y"] = 33,
["z"] = 53 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{12}}{-16}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 \\cdot -7}{\\frac{\\frac{4\\frac{5}{12}}{-16}}{3\\frac{1}{6}}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.68, bodu=111, $$\frac{6}{4\frac{2}{7}} - \frac{19 + (-9)}{-7} - 1\frac{1}{10}=\textcolor{white}{1\frac{51}{70}}$$return {
["body"] = 111,
["id"] = "AhlCDj_1019_0148",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 1.7285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 70 },
["render"] = "\\frac{605}{350}",
["typ"] = "cislo" },
["tex"] = "1\\frac{51}{70}",
["x"] = 1,
["y"] = 51,
["z"] = 70 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "19 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{19 + (-9)}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{4\\frac{2}{7}} - \\frac{19 + (-9)}{-7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{4\\frac{2}{7}} - \\frac{19 + (-9)}{-7} - 1\\frac{1}{10}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.69, bodu=85, $$\frac{-9 + \frac{4\frac{1}{5}}{-5}}{15 - \frac{7}{13}}=\textcolor{white}{-\frac{1599}{2350}}$$return {
["body"] = 85,
["id"] = "c1iejn_1019_0148",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -0.68042553191489,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1599,
["jmenovatel"] = 2350 },
["render"] = "\\frac{-3198}{4700}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1599}{2350}",
["y"] = -1599,
["z"] = 2350 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-5}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{4\\frac{1}{5}}{-5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{7}{13}",
["typ"] = "lomeno" },
["render"] = "15 - \\frac{7}{13}",
["typ"] = "minus" },
["render"] = "\\frac{-9 + \\frac{4\\frac{1}{5}}{-5}}{15 - \\frac{7}{13}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.7, bodu=113, $$-11 \cdot -11 + 1\frac{2}{8} \cdot (-8 - 1\frac{2}{6}) - (-12)=\textcolor{white}{121\frac{1}{3}}$$return {
["body"] = 113,
["id"] = "N89AXU_1019_0148",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 121.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 364,
["jmenovatel"] = 3 },
["render"] = "\\frac{364}{3}",
["typ"] = "cislo" },
["tex"] = "121\\frac{1}{3}",
["x"] = 121,
["y"] = 1,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-8 - 1\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-8 - 1\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6})",
["typ"] = "krat" },
["render"] = "-11 \\cdot -11 + 1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -11 + 1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6}) - (-12)",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.71, bodu=88, $$8 - \frac{\frac{-12}{-15 + 1\frac{1}{9} - 12}}{-9}=\textcolor{white}{8\frac{12}{233}}$$return {
["body"] = 88,
["id"] = "ZusybP_1019_0148",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 8.0515021459227,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1876,
["jmenovatel"] = 233 },
["render"] = "\\frac{1876}{233}",
["typ"] = "cislo" },
["tex"] = "8\\frac{12}{233}",
["x"] = 8,
["y"] = 12,
["z"] = 233 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-15 + 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 + 1\\frac{1}{9} - 12",
["typ"] = "minus" },
["render"] = "\\frac{-12}{-15 + 1\\frac{1}{9} - 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-12}{-15 + 1\\frac{1}{9} - 12}}{-9}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{\\frac{-12}{-15 + 1\\frac{1}{9} - 12}}{-9}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.72, bodu=110, $$2\frac{3}{7} + (-11) - (\frac{-15}{13})^2 - 11 - 15=\textcolor{white}{-35\frac{1068}{1183}}$$return {
["body"] = 110,
["id"] = "1fVMHI_1019_0148",
["obtiznost"] = 1.0776,
["reseni"] = {
["float"] = -35.902789518174,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42473,
["jmenovatel"] = 1183 },
["render"] = "\\frac{-42473}{1183}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{1068}{1183}",
["x"] = -35,
["y"] = 1068,
["z"] = 1183 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{13})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2 - 11 - 15",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.73, bodu=139, $$\frac{-14}{\frac{-10}{(11 - (-8))^2 \cdot (2\frac{4}{8} + 1\frac{2}{5})}}=\textcolor{white}{1971{,}06}$$return {
["body"] = 139,
["id"] = "jYeJ2X_1019_0148",
["obtiznost"] = 1.2748,
["reseni"] = {
["float"] = 1971.06,
["objekt"] = {
["hodnota"] = {
["citatel"] = 98553,
["jmenovatel"] = 50 },
["render"] = "\\frac{-197106}{-100}",
["typ"] = "cislo" },
["tex"] = "1971\\frac{3}{50}",
["tex_float"] = "1971{,}06",
["x"] = 1971,
["y"] = 3,
["z"] = 50 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{8} + 1\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})",
["typ"] = "krat" },
["render"] = "\\frac{-10}{(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{\\frac{-10}{(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.74, bodu=181, $$12 - 4\frac{3}{9} - 1\frac{3}{8} + 8 \cdot 1\frac{4}{9} - 1\frac{5}{7}=\textcolor{white}{16\frac{67}{504}}$$return {
["body"] = 181,
["id"] = "dEmRTP_1019_0148",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 16.132936507937,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8131,
["jmenovatel"] = 504 },
["render"] = "\\frac{24393}{1512}",
["typ"] = "cislo" },
["tex"] = "16\\frac{67}{504}",
["x"] = 16,
["y"] = 67,
["z"] = 504 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{3}{9} - 1\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{9} - 1\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "12 - 4\\frac{3}{9} - 1\\frac{3}{8} + 8 \\cdot 1\\frac{4}{9} - 1\\frac{5}{7}",
["typ"] = "plus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.75, bodu=165, $$\frac{(3\frac{3}{9} \cdot 4\frac{5}{10})^2}{\frac{14}{4\frac{2}{5}} \cdot 8}=\textcolor{white}{8\frac{47}{56}}$$return {
["body"] = 165,
["id"] = "8luJ6Z_1019_0148",
["obtiznost"] = 1.4404,
["reseni"] = {
["float"] = 8.8392857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 495,
["jmenovatel"] = 56 },
["render"] = "\\frac{2475}{280}",
["typ"] = "cislo" },
["tex"] = "8\\frac{47}{56}",
["x"] = 8,
["y"] = 47,
["z"] = 56 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.75",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{9} \\cdot 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{2}{5}} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{(3\\frac{3}{9} \\cdot 4\\frac{5}{10})^2}{\\frac{14}{4\\frac{2}{5}} \\cdot 8}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.76, bodu=185, $$\frac{1\frac{3}{5} - \frac{-10}{2\frac{1}{6}}}{4\frac{5}{13} \cdot 1\frac{5}{11}}=\textcolor{white}{\frac{1111}{1140}}$$return {
["body"] = 185,
["id"] = "t2kn1I_1019_0148",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 0.97456140350877,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1111,
["jmenovatel"] = 1140 },
["render"] = "\\frac{57772}{59280}",
["typ"] = "cislo" },
["tex"] = "\\frac{1111}{1140}",
["y"] = 1111,
["z"] = 1140 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{5} - \\frac{-10}{2\\frac{1}{6}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{5} - \\frac{-10}{2\\frac{1}{6}}}{4\\frac{5}{13} \\cdot 1\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.77, bodu=187, $$3\frac{4}{10} + (-16) - (4\frac{2}{6} \cdot 1\frac{1}{5} - (-14 \cdot 4\frac{5}{8}))=\textcolor{white}{-82{,}55}$$return {
["body"] = 187,
["id"] = "QolLWD_1019_0148",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -82.55,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1651,
["jmenovatel"] = 20 },
["render"] = "\\frac{-8255}{100}",
["typ"] = "cislo" },
["tex"] = "-82\\frac{11}{20}",
["tex_float"] = "-82{,}55",
["x"] = -82,
["y"] = 11,
["z"] = 20 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + (-16)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} + (-16) - (4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8}))",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.78, bodu=125, $$12 \cdot (\frac{10}{-13 + 3\frac{4}{10}} + 4\frac{3}{11}) \cdot 18=\textcolor{white}{697\frac{10}{11}}$$return {
["body"] = 125,
["id"] = "skefo5_1019_0148",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 697.90909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7677,
["jmenovatel"] = 11 },
["render"] = "\\frac{15354}{22}",
["typ"] = "cislo" },
["tex"] = "697\\frac{10}{11}",
["x"] = 697,
["y"] = 10,
["z"] = 11 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-13 + 3\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{10}{-13 + 3\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "12 \\cdot (\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11}) \\cdot 18",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.79, bodu=36, $$((-12 - (-12))^4 \cdot 9 \cdot 20)^4 \cdot 15=\textcolor{white}{0}$$return {
["body"] = 36,
["id"] = "a3NiHk_1019_0148",
["obtiznost"] = 0.7908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-12 - (-12))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "9 \\cdot 20",
["typ"] = "krat" },
["render"] = "(-12 - (-12))^4 \\cdot 9 \\cdot 20",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "((-12 - (-12))^4 \\cdot 9 \\cdot 20)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "((-12 - (-12))^4 \\cdot 9 \\cdot 20)^4 \\cdot 15",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.8, bodu=74, $$\frac{\frac{\frac{-13}{13} + 15}{\frac{18}{-9}}}{-9}=\textcolor{white}{\frac{7}{9}}$$return {
["body"] = 74,
["id"] = "3L5r0o_1019_0148",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 0.77777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 9 },
["render"] = "\\frac{-7}{-9}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{9}",
["y"] = 7,
["z"] = 9 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{13} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-13}{13} + 15}{\\frac{18}{-9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-13}{13} + 15}{\\frac{18}{-9}}}{-9}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.81, bodu=129, $$\frac{-16 + 17 \cdot 1\frac{5}{10}}{9 \cdot 2\frac{3}{10} \cdot -16}=\textcolor{white}{-\frac{95}{3312}}$$return {
["body"] = 129,
["id"] = "7OPlxU_1019_0148",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -0.028683574879227,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 3312 },
["render"] = "\\frac{95}{-3312}",
["typ"] = "cislo" },
["tex"] = "-\\frac{95}{3312}",
["y"] = -95,
["z"] = 3312 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "-16 + 17 \\cdot 1\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} \\cdot -16",
["typ"] = "krat" },
["render"] = "9 \\cdot 2\\frac{3}{10} \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{-16 + 17 \\cdot 1\\frac{5}{10}}{9 \\cdot 2\\frac{3}{10} \\cdot -16}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.82, bodu=76, $$\frac{-13}{\frac{\frac{6}{-7 - (-11)}}{-11 + (-11)}}=\textcolor{white}{190\frac{2}{3}}$$return {
["body"] = 76,
["id"] = "Y9oQYD_1019_0148",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 190.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 572,
["jmenovatel"] = 3 },
["render"] = "\\frac{-572}{-3}",
["typ"] = "cislo" },
["tex"] = "190\\frac{2}{3}",
["x"] = 190,
["y"] = 2,
["z"] = 3 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-7 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{6}{-7 - (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["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" },
["render"] = "\\frac{\\frac{6}{-7 - (-11)}}{-11 + (-11)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{\\frac{6}{-7 - (-11)}}{-11 + (-11)}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.83, bodu=132, $$\frac{(2\frac{1}{6} - 4\frac{5}{7}) \cdot -12}{\frac{13 - 6}{22}}=\textcolor{white}{96\frac{4}{49}}$$return {
["body"] = 132,
["id"] = "S7KymU_1019_0148",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 96.081632653061,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4708,
["jmenovatel"] = 49 },
["render"] = "\\frac{4708}{49}",
["typ"] = "cislo" },
["tex"] = "96\\frac{4}{49}",
["x"] = 96,
["y"] = 4,
["z"] = 49 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - 4\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{6} - 4\\frac{5}{7}) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 6}{22}",
["typ"] = "lomeno" },
["render"] = "\\frac{(2\\frac{1}{6} - 4\\frac{5}{7}) \\cdot -12}{\\frac{13 - 6}{22}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.84, bodu=146, $$((\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \cdot 2\frac{2}{11}) \cdot -11=\textcolor{white}{5181\frac{309}{400}}$$return {
["body"] = 146,
["id"] = "XKxAZB_1019_0148",
["obtiznost"] = 1.3192,
["reseni"] = {
["float"] = 5181.7725,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2072709,
["jmenovatel"] = 400 },
["render"] = "\\frac{22799799}{4400}",
["typ"] = "cislo" },
["tex"] = "5181\\frac{309}{400}",
["x"] = 5181,
["y"] = 309,
["z"] = 400 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-20}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{-20})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-12 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 + 13 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 + 13 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "(-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}",
["typ"] = "krat" },
["render"] = "(\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}",
["typ"] = "plus" },
["render"] = "((\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "((\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}) \\cdot -11",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.85, bodu=167, $$\frac{2\frac{4}{5}}{-18 + 4\frac{1}{7} \cdot -21 - 10 \cdot 2\frac{4}{7}}=\textcolor{white}{-\frac{98}{4575}}$$return {
["body"] = 167,
["id"] = "TlRhhA_1019_0148",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -0.021420765027322,
["objekt"] = {
["hodnota"] = {
["citatel"] = -98,
["jmenovatel"] = 4575 },
["render"] = "\\frac{98}{-4575}",
["typ"] = "cislo" },
["tex"] = "-\\frac{98}{4575}",
["y"] = -98,
["z"] = 4575 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} \\cdot -21",
["typ"] = "krat" },
["render"] = "-18 + 4\\frac{1}{7} \\cdot -21",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "-18 + 4\\frac{1}{7} \\cdot -21 - 10 \\cdot 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{5}}{-18 + 4\\frac{1}{7} \\cdot -21 - 10 \\cdot 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.86, bodu=168, $$(15 - 1\frac{2}{8} \cdot (12 - 3\frac{2}{9})) \cdot (-11 + (-13 - 2\frac{3}{9}))=\textcolor{white}{-106\frac{7}{108}}$$return {
["body"] = 168,
["id"] = "fBwWLd_1019_0148",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -106.06481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11455,
["jmenovatel"] = 108 },
["render"] = "\\frac{-11455}{108}",
["typ"] = "cislo" },
["tex"] = "-106\\frac{7}{108}",
["x"] = -106,
["y"] = 7,
["z"] = 108 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})",
["typ"] = "krat" },
["render"] = "15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-13 - 2\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "-11 + (-13 - 2\\frac{3}{9})",
["typ"] = "plus" },
["render"] = "(-11 + (-13 - 2\\frac{3}{9}))",
["typ"] = "zavorka" },
["render"] = "(15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})) \\cdot (-11 + (-13 - 2\\frac{3}{9}))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.87, bodu=170, $$6 \cdot \frac{-21}{\frac{2\frac{4}{9}}{3\frac{2}{7}}} \cdot 2\frac{1}{9}=\textcolor{white}{-357\frac{6}{11}}$$return {
["body"] = 170,
["id"] = "mL59Qc_1019_0148",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -357.54545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3933,
["jmenovatel"] = 11 },
["render"] = "\\frac{-7866}{22}",
["typ"] = "cislo" },
["tex"] = "-357\\frac{6}{11}",
["x"] = -357,
["y"] = 6,
["z"] = 11 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}} \\cdot 2\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "6 \\cdot \\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}} \\cdot 2\\frac{1}{9}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.88, bodu=140, $$\frac{\frac{3\frac{1}{4}}{-7 \cdot 1\frac{5}{10}} - (-11 \cdot -13)}{22}=\textcolor{white}{-6\frac{475}{924}}$$return {
["body"] = 140,
["id"] = "yunxjC_1019_0148",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -6.5140692640693,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6019,
["jmenovatel"] = 924 },
["render"] = "\\frac{-6019}{924}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{475}{924}",
["x"] = -6,
["y"] = 475,
["z"] = 924 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}} - (-11 \\cdot -13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}} - (-11 \\cdot -13)}{22}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.89, bodu=95, $$\frac{9}{(\frac{-13}{5})^2 - (-16)} - \frac{-15}{13}=\textcolor{white}{1\frac{4063}{7397}}$$return {
["body"] = 95,
["id"] = "PxkLTu_1019_0148",
["obtiznost"] = 0.9676,
["reseni"] = {
["float"] = 1.549276733811,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11460,
["jmenovatel"] = 7397 },
["render"] = "\\frac{11460}{7397}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4063}{7397}",
["x"] = 1,
["y"] = 4063,
["z"] = 7397 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(\\frac{-13}{5})^2 - (-16)",
["typ"] = "minus" },
["render"] = "\\frac{9}{(\\frac{-13}{5})^2 - (-16)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{(\\frac{-13}{5})^2 - (-16)} - \\frac{-15}{13}",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.9, bodu=143, $$(1\frac{3}{10} + (-7) + 1\frac{2}{10} - (-11)) \cdot -12 \cdot (-20 - (-10))=\textcolor{white}{780}$$return {
["body"] = 143,
["id"] = "93g8gi_1019_0148",
["obtiznost"] = 1.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 780,
["jmenovatel"] = 1 },
["render"] = "\\frac{1560}{2}",
["typ"] = "cislo" },
["tex"] = "780",
["tex_float"] = "780",
["x"] = 780 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - (-11)",
["typ"] = "minus" },
["render"] = "1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11)",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-20 - (-10)",
["typ"] = "minus" },
["render"] = "(-20 - (-10))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (-20 - (-10))",
["typ"] = "krat" },
["render"] = "(1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11)) \\cdot -12 \\cdot (-20 - (-10))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.91, bodu=157, $$\frac{(\frac{4}{2\frac{2}{5}})^4}{-9} \cdot 13 \cdot (18 - (-15))=\textcolor{white}{-367\frac{194}{243}}$$return {
["body"] = 157,
["id"] = "XF42Yf_1019_0148",
["obtiznost"] = 1.3924,
["reseni"] = {
["float"] = -367.79835390946,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89375,
["jmenovatel"] = 243 },
["render"] = "\\frac{-268125}{729}",
["typ"] = "cislo" },
["tex"] = "-367\\frac{194}{243}",
["x"] = -367,
["y"] = 194,
["z"] = 243 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{2\\frac{2}{5}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "18 - (-15)",
["typ"] = "minus" },
["render"] = "(18 - (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9} \\cdot 13 \\cdot (18 - (-15))",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.92, bodu=221, $$\frac{\frac{9 \cdot 15}{(4\frac{1}{9} - 3\frac{1}{6})^2}}{-21 \cdot 2\frac{2}{7}}=\textcolor{white}{-3\frac{177}{1156}}$$return {
["body"] = 221,
["id"] = "7l9aJX_1019_0148",
["obtiznost"] = 1.7652,
["reseni"] = {
["float"] = -3.1531141868512,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3645,
["jmenovatel"] = 1156 },
["render"] = "\\frac{43740}{-13872}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{177}{1156}",
["x"] = -3,
["y"] = 177,
["z"] = 1156 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} - 3\\frac{1}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{9} - 3\\frac{1}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9 \\cdot 15}{(4\\frac{1}{9} - 3\\frac{1}{6})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{9 \\cdot 15}{(4\\frac{1}{9} - 3\\frac{1}{6})^2}}{-21 \\cdot 2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.93, bodu=180, $$\frac{2\frac{1}{10}}{11} \cdot -17 \cdot 3\frac{1}{5} \cdot 4\frac{4}{8}=\textcolor{white}{-46\frac{202}{275}}$$return {
["body"] = 180,
["id"] = "7q4RKY_1019_0148",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -46.734545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12852,
["jmenovatel"] = 275 },
["render"] = "\\frac{-25704}{550}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{202}{275}",
["x"] = -46,
["y"] = 202,
["z"] = 275 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "-17 \\cdot 3\\frac{1}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{10}}{11} \\cdot -17 \\cdot 3\\frac{1}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.94, bodu=149, $$\frac{\frac{-11 - (-16 + (-14))}{4\frac{4}{13}} \cdot -7}{4\frac{4}{11}}=\textcolor{white}{-7\frac{29}{384}}$$return {
["body"] = 149,
["id"] = "HLJxtp_1019_0148",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -7.0755208333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2717,
["jmenovatel"] = 384 },
["render"] = "\\frac{-2717}{384}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{29}{384}",
["x"] = -7,
["y"] = 29,
["z"] = 384 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["render"] = "(-16 + (-14))",
["typ"] = "zavorka" },
["render"] = "-11 - (-16 + (-14))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}} \\cdot -7}{4\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.95, bodu=218, $$-16 - (4\frac{5}{11} + 1\frac{2}{8} \cdot 1\frac{2}{7} \cdot (-15 - 1\frac{2}{12}))=\textcolor{white}{5\frac{325}{616}}$$return {
["body"] = 218,
["id"] = "IMCZl9_1019_0148",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 5.5275974025974,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3405,
["jmenovatel"] = 616 },
["render"] = "\\frac{3405}{616}",
["typ"] = "cislo" },
["tex"] = "5\\frac{325}{616}",
["x"] = 5,
["y"] = 325,
["z"] = 616 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{2}{12}",
["typ"] = "minus" },
["render"] = "(-15 - 1\\frac{2}{12})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12})",
["typ"] = "krat" },
["render"] = "4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12})",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12}))",
["typ"] = "zavorka" },
["render"] = "-16 - (4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12}))",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.96, bodu=185, $$1\frac{5}{10} + 23 + (-5) - (10 - \frac{2\frac{4}{10}}{2\frac{1}{7} + (-7)})=\textcolor{white}{9\frac{1}{170}}$$return {
["body"] = 185,
["id"] = "G2cXdM_1019_0148",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 9.0058823529412,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1531,
["jmenovatel"] = 170 },
["render"] = "\\frac{1531}{170}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{170}",
["x"] = 9,
["y"] = 1,
["z"] = 170 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "23 + (-5)",
["typ"] = "plus" },
["render"] = "1\\frac{5}{10} + 23 + (-5)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} + 23 + (-5) - (10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)})",
["typ"] = "minus" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.97, bodu=258, $$(\frac{4\frac{2}{10}}{-14} - \frac{2\frac{4}{11}}{4\frac{5}{13}}) \cdot \frac{2\frac{4}{13}}{4\frac{2}{6}}=\textcolor{white}{-\frac{15783}{35321}}$$return {
["body"] = 258,
["id"] = "sAhDNv_1019_0148",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = -0.44684465332239,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15783,
["jmenovatel"] = 35321 },
["render"] = "\\frac{-473490}{1059630}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15783}{35321}",
["y"] = -15783,
["z"] = 35321 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{11}}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{13}}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}}) \\cdot \\frac{2\\frac{4}{13}}{4\\frac{2}{6}}",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.98, bodu=298, $$((13 + (-16))^3 + 3\frac{4}{7} + 3\frac{5}{10} + (3\frac{3}{4} - 9)^2) \cdot (1\frac{1}{5} + 4\frac{3}{11})=\textcolor{white}{41\frac{137}{176}}$$return {
["body"] = 298,
["id"] = "BLcofh_1019_0148",
["obtiznost"] = 2.174,
["reseni"] = {
["float"] = 41.778409090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7353,
["jmenovatel"] = 176 },
["render"] = "\\frac{257355}{6160}",
["typ"] = "cislo" },
["tex"] = "41\\frac{137}{176}",
["x"] = 41,
["y"] = 137,
["z"] = 176 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.98",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "13 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-16))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{4} - 9)^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2",
["typ"] = "plus" },
["render"] = "3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2",
["typ"] = "plus" },
["render"] = "(13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2",
["typ"] = "plus" },
["render"] = "((13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + 4\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{5} + 4\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "((13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2) \\cdot (1\\frac{1}{5} + 4\\frac{3}{11})",
["typ"] = "krat" } }
seed: 9XgNHY9CrdZnZbunL7Fp_0.99, bodu=190, $$-15 - 1\frac{5}{9} \cdot (3\frac{1}{8} - (-5)) \cdot 2\frac{3}{7} \cdot -17=\textcolor{white}{506\frac{29}{36}}$$return {
["body"] = 190,
["id"] = "EPFvUp_1019_0148",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 506.80555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18245,
["jmenovatel"] = 36 },
["render"] = "\\frac{18245}{36}",
["typ"] = "cislo" },
["tex"] = "506\\frac{29}{36}",
["x"] = 506,
["y"] = 29,
["z"] = 36 },
["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - (-5)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7} \\cdot -17",
["typ"] = "krat" },
["render"] = "-15 - 1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7} \\cdot -17",
["typ"] = "minus" } }
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