- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 2gvo23gOtmq2rgOQWMdQ_0, bodu=6, $$(8 \cdot (6 - 8))^2 \cdot 3=\textcolor{white}{768}$$return {
["body"] = 6,
["id"] = "WxYje2_1211_0850",
["obtiznost"] = 0.1028,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 768,
["jmenovatel"] = 1 },
["render"] = "\\frac{768}{1}",
["typ"] = "cislo" },
["tex"] = "768",
["tex_float"] = "768",
["x"] = 768 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["render"] = "(6 - 8)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (6 - 8)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(8 \\cdot (6 - 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(8 \\cdot (6 - 8))^2 \\cdot 3",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.01, bodu=10, $$\frac{-9 - 5}{7 \cdot 5}=\textcolor{white}{-0{,}4}$$return {
["body"] = 10,
["id"] = "O5Z6s4_1211_0850",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = -0.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 5 },
["render"] = "\\frac{-14}{35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{5}",
["tex_float"] = "-0{,}4",
["y"] = -2,
["z"] = 5 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{-9 - 5}{7 \\cdot 5}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.02, bodu=10, $$\frac{8 + 4 - 4}{-4}=\textcolor{white}{-2}$$return {
["body"] = 10,
["id"] = "0GwNBK_1211_0850",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{-4}",
["typ"] = "cislo" },
["tex"] = "-2",
["x"] = -2 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["render"] = "8 + 4 - 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 4 - 4}{-4}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.03, bodu=10, $$7 + 6 - \frac{7}{3}=\textcolor{white}{10\frac{2}{3}}$$return {
["body"] = 10,
["id"] = "rGIcKX_1211_0850",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 10.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 3 },
["render"] = "\\frac{32}{3}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{3}",
["x"] = 10,
["y"] = 2,
["z"] = 3 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{7}{3}",
["typ"] = "lomeno" },
["render"] = "7 + 6 - \\frac{7}{3}",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.04, bodu=10, $$\frac{7}{5 \cdot 7}=\textcolor{white}{0{,}2}$$return {
["body"] = 10,
["id"] = "QCngbo_1211_0850",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 5 },
["render"] = "\\frac{7}{35}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{5}",
["tex_float"] = "0{,}2",
["y"] = 1,
["z"] = 5 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{7}{5 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.05, bodu=11, $$\frac{4}{5} \cdot -8=\textcolor{white}{-6{,}4}$$return {
["body"] = 11,
["id"] = "SpSmMd_1211_0850",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -6.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 5 },
["render"] = "\\frac{-32}{5}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{2}{5}",
["tex_float"] = "-6{,}4",
["x"] = -6,
["y"] = 2,
["z"] = 5 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5} \\cdot -8",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.06, bodu=11, $$9 - (7 - \frac{9}{6})=\textcolor{white}{3{,}5}$$return {
["body"] = 11,
["id"] = "BIpqlI_1211_0850",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{7}{2}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{9}{6}",
["typ"] = "minus" },
["render"] = "(7 - \\frac{9}{6})",
["typ"] = "zavorka" },
["render"] = "9 - (7 - \\frac{9}{6})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.07, bodu=9, $$(3 + 4)^3 - (10 - 4)^2=\textcolor{white}{307}$$return {
["body"] = 9,
["id"] = "2tFnMr_1211_0850",
["obtiznost"] = 0.2224,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 1 },
["render"] = "\\frac{307}{1}",
["typ"] = "cislo" },
["tex"] = "307",
["tex_float"] = "307",
["x"] = 307 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3 + 4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(3 + 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 4)^2",
["typ"] = "mocnina" },
["render"] = "(3 + 4)^3 - (10 - 4)^2",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.08, bodu=6, $$6 + 8 - (-9 \cdot 4)=\textcolor{white}{50}$$return {
["body"] = 6,
["id"] = "zIbdT6_1211_0850",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 1 },
["render"] = "\\frac{50}{1}",
["typ"] = "cislo" },
["tex"] = "50",
["tex_float"] = "50",
["x"] = 50 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 4",
["typ"] = "krat" },
["render"] = "6 + 8 - (-9 \\cdot 4)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.09, bodu=6, $$(-6 + 7)^4 \cdot 11 \cdot 7=\textcolor{white}{77}$$return {
["body"] = 6,
["id"] = "6Luqir_1211_0850",
["obtiznost"] = 0.0908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 1 },
["render"] = "\\frac{77}{1}",
["typ"] = "cislo" },
["tex"] = "77",
["x"] = 77 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.09",
["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"] = 4,
["render"] = "(-6 + 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 \\cdot 7",
["typ"] = "krat" },
["render"] = "(-6 + 7)^4 \\cdot 11 \\cdot 7",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.1, bodu=6, $$(6 - 6)^2 - (8 + 5)=\textcolor{white}{-13}$$return {
["body"] = 6,
["id"] = "L9GOHc_1211_0850",
["obtiznost"] = 0.1004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["x"] = -13 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["render"] = "(6 - 6)^2 - (8 + 5)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.11, bodu=8, $$8 + (-4 + 9)^3 + (9 + (-11))^4=\textcolor{white}{149}$$return {
["body"] = 8,
["id"] = "eFpIJH_1211_0850",
["obtiznost"] = 0.1672,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 149,
["jmenovatel"] = 1 },
["render"] = "\\frac{149}{1}",
["typ"] = "cislo" },
["tex"] = "149",
["tex_float"] = "149",
["x"] = 149 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-4 + 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(9 + (-11))^4",
["typ"] = "mocnina" },
["render"] = "(-4 + 9)^3 + (9 + (-11))^4",
["typ"] = "plus" },
["render"] = "8 + (-4 + 9)^3 + (9 + (-11))^4",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.12, bodu=18, $$(7 \cdot \frac{-4}{6})^2=\textcolor{white}{21\frac{7}{9}}$$return {
["body"] = 18,
["id"] = "P2jTov_1211_0850",
["obtiznost"] = 0.202,
["reseni"] = {
["float"] = 21.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 9 },
["render"] = "\\frac{196}{9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{9}",
["x"] = 21,
["y"] = 7,
["z"] = 9 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "7 \\cdot \\frac{-4}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot \\frac{-4}{6})^2",
["typ"] = "mocnina" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.13, bodu=8, $$8 \cdot 8 + (7 + 3)^2=\textcolor{white}{164}$$return {
["body"] = 8,
["id"] = "X7kVRq_1211_0850",
["obtiznost"] = 0.1704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 164,
["jmenovatel"] = 1 },
["render"] = "\\frac{164}{1}",
["typ"] = "cislo" },
["tex"] = "164",
["x"] = 164 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 3)^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot 8 + (7 + 3)^2",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.14, bodu=24, $$(\frac{7}{-4})^3 \cdot 6=\textcolor{white}{-32\frac{5}{32}}$$return {
["body"] = 24,
["id"] = "s2hWIR_1211_0850",
["obtiznost"] = 0.3028,
["reseni"] = {
["float"] = -32.15625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1029,
["jmenovatel"] = 32 },
["render"] = "\\frac{-2058}{64}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{5}{32}",
["x"] = -32,
["y"] = 5,
["z"] = 32 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{-4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-4})^3 \\cdot 6",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.15, bodu=18, $$(8 - 9) \cdot (4 + 5)^3=\textcolor{white}{-729}$$return {
["body"] = 18,
["id"] = "uLNYOe_1211_0850",
["obtiznost"] = 0.442,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -729,
["jmenovatel"] = 1 },
["render"] = "\\frac{-729}{1}",
["typ"] = "cislo" },
["tex"] = "-729",
["tex_float"] = "-729",
["x"] = -729 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["render"] = "(8 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4 + 5)^3",
["typ"] = "mocnina" },
["render"] = "(8 - 9) \\cdot (4 + 5)^3",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.16, bodu=30, $$-5 \cdot (10 - (7 + 1\frac{3}{4}))^2=\textcolor{white}{-7\frac{13}{16}}$$return {
["body"] = 30,
["id"] = "SI04R8_1211_0850",
["obtiznost"] = 0.3764,
["reseni"] = {
["float"] = -7.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 16 },
["render"] = "\\frac{-125}{16}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{13}{16}",
["x"] = -7,
["y"] = 13,
["z"] = 16 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "(7 + 1\\frac{3}{4})",
["typ"] = "zavorka" },
["render"] = "10 - (7 + 1\\frac{3}{4})",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (7 + 1\\frac{3}{4}))^2",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (10 - (7 + 1\\frac{3}{4}))^2",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.17, bodu=8, $$6 \cdot (4 - (-2 - 12))=\textcolor{white}{108}$$return {
["body"] = 8,
["id"] = "br8OXF_1211_0850",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 1 },
["render"] = "\\frac{108}{1}",
["typ"] = "cislo" },
["tex"] = "108",
["x"] = 108 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-2 - 12",
["typ"] = "minus" },
["render"] = "(-2 - 12)",
["typ"] = "zavorka" },
["render"] = "4 - (-2 - 12)",
["typ"] = "minus" },
["render"] = "(4 - (-2 - 12))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (4 - (-2 - 12))",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.18, bodu=31, $$(11 - 2\frac{2}{5}) \cdot (3 + 11)=\textcolor{white}{120{,}4}$$return {
["body"] = 31,
["id"] = "4xKA37_1211_0850",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 120.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 602,
["jmenovatel"] = 5 },
["render"] = "\\frac{602}{5}",
["typ"] = "cislo" },
["tex"] = "120\\frac{2}{5}",
["tex_float"] = "120{,}4",
["x"] = 120,
["y"] = 2,
["z"] = 5 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "11 - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(11 - 2\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 + 11",
["typ"] = "plus" },
["render"] = "(3 + 11)",
["typ"] = "zavorka" },
["render"] = "(11 - 2\\frac{2}{5}) \\cdot (3 + 11)",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.19, bodu=31, $$2\frac{2}{6} \cdot (-10 - (9 + 7))=\textcolor{white}{-60\frac{2}{3}}$$return {
["body"] = 31,
["id"] = "JLLuir_1211_0850",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -60.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -182,
["jmenovatel"] = 3 },
["render"] = "\\frac{-182}{3}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{2}{3}",
["x"] = -60,
["y"] = 2,
["z"] = 3 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "(9 + 7)",
["typ"] = "zavorka" },
["render"] = "-10 - (9 + 7)",
["typ"] = "minus" },
["render"] = "(-10 - (9 + 7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{6} \\cdot (-10 - (9 + 7))",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.2, bodu=32, $$(10 - (9 - 9)) \cdot 4\frac{4}{8}=\textcolor{white}{45}$$return {
["body"] = 32,
["id"] = "eONf10_1211_0850",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{2}",
["typ"] = "cislo" },
["tex"] = "45",
["tex_float"] = "45",
["x"] = 45 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.2",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["render"] = "(9 - 9)",
["typ"] = "zavorka" },
["render"] = "10 - (9 - 9)",
["typ"] = "minus" },
["render"] = "(10 - (9 - 9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(10 - (9 - 9)) \\cdot 4\\frac{4}{8}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.21, bodu=33, $$4 - 4\frac{5}{7} + (7 - 8)^2 - (-8)=\textcolor{white}{8\frac{2}{7}}$$return {
["body"] = 33,
["id"] = "WJBNRP_1211_0850",
["obtiznost"] = 0.4108,
["reseni"] = {
["float"] = 8.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 58,
["jmenovatel"] = 7 },
["render"] = "\\frac{58}{7}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{7}",
["x"] = 8,
["y"] = 2,
["z"] = 7 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "4 - 4\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 8)^2",
["typ"] = "mocnina" },
["render"] = "4 - 4\\frac{5}{7} + (7 - 8)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 - 4\\frac{5}{7} + (7 - 8)^2 - (-8)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.22, bodu=20, $$\frac{(4 - 10)^2 + 9}{\frac{5}{10}}=\textcolor{white}{90}$$return {
["body"] = 20,
["id"] = "J93eov_1211_0850",
["obtiznost"] = 0.2348,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{1}",
["typ"] = "cislo" },
["tex"] = "90",
["tex_float"] = "90",
["x"] = 90 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(4 - 10)^2 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(4 - 10)^2 + 9}{\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.23, bodu=20, $$(\frac{12}{9})^2 \cdot 12 \cdot 7=\textcolor{white}{149\frac{1}{3}}$$return {
["body"] = 20,
["id"] = "i7qYbp_1211_0850",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 149.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 448,
["jmenovatel"] = 3 },
["render"] = "\\frac{448}{3}",
["typ"] = "cislo" },
["tex"] = "149\\frac{1}{3}",
["x"] = 149,
["y"] = 1,
["z"] = 3 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{9})^2 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{9})^2 \\cdot 12 \\cdot 7",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.24, bodu=66, $$-7 + (6 + 7 - 10 + 6)^3 + 1\frac{5}{9}=\textcolor{white}{723\frac{5}{9}}$$return {
["body"] = 66,
["id"] = "QB0cA0_1211_0850",
["obtiznost"] = 0.732,
["reseni"] = {
["float"] = 723.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6512,
["jmenovatel"] = 9 },
["render"] = "\\frac{6512}{9}",
["typ"] = "cislo" },
["tex"] = "723\\frac{5}{9}",
["x"] = 723,
["y"] = 5,
["z"] = 9 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 7 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 7 - 10 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + 7 - 10 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(6 + 7 - 10 + 6)^3 + 1\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "-7 + (6 + 7 - 10 + 6)^3 + 1\\frac{5}{9}",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.25, bodu=21, $$\frac{6 + 4}{9} \cdot (8 - (-10))=\textcolor{white}{20}$$return {
["body"] = 21,
["id"] = "N2zCJf_1211_0850",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{9}",
["typ"] = "cislo" },
["tex"] = "20",
["tex_float"] = "20",
["x"] = 20 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 - (-10)",
["typ"] = "minus" },
["render"] = "(8 - (-10))",
["typ"] = "zavorka" },
["render"] = "\\frac{6 + 4}{9} \\cdot (8 - (-10))",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.26, bodu=38, $$(-8 \cdot 6 - 4\frac{2}{4}) \cdot -4=\textcolor{white}{210}$$return {
["body"] = 38,
["id"] = "mwE6DW_1211_0850",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 210,
["jmenovatel"] = 1 },
["render"] = "\\frac{420}{2}",
["typ"] = "cislo" },
["tex"] = "210",
["tex_float"] = "210",
["x"] = 210 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6 - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(-8 \\cdot 6 - 4\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-8 \\cdot 6 - 4\\frac{2}{4}) \\cdot -4",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.27, bodu=38, $$-5 - 8 - (2\frac{2}{6} + 12 - (-6))=\textcolor{white}{-33\frac{1}{3}}$$return {
["body"] = 38,
["id"] = "8kzvmX_1211_0850",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -33.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 3 },
["render"] = "\\frac{-100}{3}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{1}{3}",
["x"] = -33,
["y"] = 1,
["z"] = 3 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 - 8",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "12 - (-6)",
["typ"] = "minus" },
["render"] = "2\\frac{2}{6} + 12 - (-6)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{6} + 12 - (-6))",
["typ"] = "zavorka" },
["render"] = "-5 - 8 - (2\\frac{2}{6} + 12 - (-6))",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.28, bodu=11, $$(14 - 12) \cdot (12 - (-3))=\textcolor{white}{30}$$return {
["body"] = 11,
["id"] = "S22Z8j_1211_0850",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["tex_float"] = "30",
["x"] = 30 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["render"] = "(14 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 - (-3)",
["typ"] = "minus" },
["render"] = "(12 - (-3))",
["typ"] = "zavorka" },
["render"] = "(14 - 12) \\cdot (12 - (-3))",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.29, bodu=12, $$9 \cdot (7 - (-12 \cdot 7))=\textcolor{white}{819}$$return {
["body"] = 12,
["id"] = "LsXpFH_1211_0850",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 819,
["jmenovatel"] = 1 },
["render"] = "\\frac{819}{1}",
["typ"] = "cislo" },
["tex"] = "819",
["x"] = 819 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 7",
["typ"] = "krat" },
["render"] = "7 - (-12 \\cdot 7)",
["typ"] = "minus" },
["render"] = "(7 - (-12 \\cdot 7))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (7 - (-12 \\cdot 7))",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.3, bodu=24, $$\frac{10 + \frac{11}{15}}{-8}=\textcolor{white}{-1\frac{41}{120}}$$return {
["body"] = 24,
["id"] = "lSSR7m_1211_0850",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -1.3416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -161,
["jmenovatel"] = 120 },
["render"] = "\\frac{161}{-120}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{41}{120}",
["x"] = -1,
["y"] = 41,
["z"] = 120 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{11}{15}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{11}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{10 + \\frac{11}{15}}{-8}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.31, bodu=12, $$9 - 5 \cdot 11 \cdot 9=\textcolor{white}{-486}$$return {
["body"] = 12,
["id"] = "cTg0LB_1211_0850",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -486,
["jmenovatel"] = 1 },
["render"] = "\\frac{-486}{1}",
["typ"] = "cislo" },
["tex"] = "-486",
["tex_float"] = "-486",
["x"] = -486 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["render"] = "5 \\cdot 11 \\cdot 9",
["typ"] = "krat" },
["render"] = "9 - 5 \\cdot 11 \\cdot 9",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.32, bodu=18, $$(5 - (4 + 10 + 8 - 10))^3=\textcolor{white}{-343}$$return {
["body"] = 18,
["id"] = "2wNzsV_1211_0850",
["obtiznost"] = 0.4576,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 1 },
["render"] = "\\frac{-343}{1}",
["typ"] = "cislo" },
["tex"] = "-343",
["tex_float"] = "-343",
["x"] = -343 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.32",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["render"] = "10 + 8 - 10",
["typ"] = "plus" },
["render"] = "4 + 10 + 8 - 10",
["typ"] = "plus" },
["render"] = "(4 + 10 + 8 - 10)",
["typ"] = "zavorka" },
["render"] = "5 - (4 + 10 + 8 - 10)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - (4 + 10 + 8 - 10))^3",
["typ"] = "mocnina" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.33, bodu=13, $$-14 \cdot (13 + (9 - (8 + 4))^3)=\textcolor{white}{196}$$return {
["body"] = 13,
["id"] = "SzM1WL_1211_0850",
["obtiznost"] = 0.3412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 1 },
["render"] = "\\frac{196}{1}",
["typ"] = "cislo" },
["tex"] = "196",
["tex_float"] = "196",
["x"] = 196 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["render"] = "(8 + 4)",
["typ"] = "zavorka" },
["render"] = "9 - (8 + 4)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - (8 + 4))^3",
["typ"] = "mocnina" },
["render"] = "13 + (9 - (8 + 4))^3",
["typ"] = "plus" },
["render"] = "(13 + (9 - (8 + 4))^3)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (13 + (9 - (8 + 4))^3)",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.34, bodu=45, $$15 + 2\frac{5}{11} - 8 + 5 + 10 + (-5)=\textcolor{white}{19\frac{5}{11}}$$return {
["body"] = 45,
["id"] = "ZXJDyF_1211_0850",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 19.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 214,
["jmenovatel"] = 11 },
["render"] = "\\frac{214}{11}",
["typ"] = "cislo" },
["tex"] = "19\\frac{5}{11}",
["x"] = 19,
["y"] = 5,
["z"] = 11 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 8 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 + (-5)",
["typ"] = "plus" },
["render"] = "2\\frac{5}{11} - 8 + 5 + 10 + (-5)",
["typ"] = "plus" },
["render"] = "15 + 2\\frac{5}{11} - 8 + 5 + 10 + (-5)",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.35, bodu=46, $$\frac{(11 - 4\frac{3}{6}) \cdot -12}{6}=\textcolor{white}{-13}$$return {
["body"] = 46,
["id"] = "jU0yIe_1211_0850",
["obtiznost"] = 0.55,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-78}{6}",
["typ"] = "cislo" },
["tex"] = "-13",
["tex_float"] = "-13",
["x"] = -13 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(11 - 4\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(11 - 4\\frac{3}{6}) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(11 - 4\\frac{3}{6}) \\cdot -12}{6}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.36, bodu=29, $$-12 + (-13 \cdot \frac{14}{-9})=\textcolor{white}{8\frac{2}{9}}$$return {
["body"] = 29,
["id"] = "IcepxA_1211_0850",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 8.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 74,
["jmenovatel"] = 9 },
["render"] = "\\frac{74}{9}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{9}",
["x"] = 8,
["y"] = 2,
["z"] = 9 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-9}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{14}{-9}",
["typ"] = "krat" },
["render"] = "-12 + (-13 \\cdot \\frac{14}{-9})",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.37, bodu=30, $$(\frac{-3}{(\frac{8}{8})^3})^2 - (-10)=\textcolor{white}{19}$$return {
["body"] = 30,
["id"] = "ga3N35_1211_0850",
["obtiznost"] = 0.3748,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["tex_float"] = "19",
["x"] = 19 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-3}{(\\frac{8}{8})^3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-3}{(\\frac{8}{8})^3})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{(\\frac{8}{8})^3})^2 - (-10)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.38, bodu=31, $$10 \cdot \frac{\frac{6}{-8}}{-7}=\textcolor{white}{1\frac{1}{14}}$$return {
["body"] = 31,
["id"] = "X2fbgT_1211_0850",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 1.0714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 14 },
["render"] = "\\frac{30}{28}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{14}",
["x"] = 1,
["y"] = 1,
["z"] = 14 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{-8}}{-7}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{\\frac{6}{-8}}{-7}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.39, bodu=73, $$3\frac{5}{8} + (7 + (-8))^2 + \frac{-8}{4\frac{4}{9}}=\textcolor{white}{2{,}825}$$return {
["body"] = 73,
["id"] = "AC4ARY_1211_0850",
["obtiznost"] = 0.7908,
["reseni"] = {
["float"] = 2.825,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 40 },
["render"] = "\\frac{113}{40}",
["typ"] = "cislo" },
["tex"] = "2\\frac{33}{40}",
["tex_float"] = "2{,}825",
["x"] = 2,
["y"] = 33,
["z"] = 40 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-8))^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{5}{8} + (7 + (-8))^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{8} + (7 + (-8))^2 + \\frac{-8}{4\\frac{4}{9}}",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.4, bodu=32, $$\frac{13 \cdot \frac{11}{8 - 7}}{-10}=\textcolor{white}{-14{,}3}$$return {
["body"] = 32,
["id"] = "75jh0i_1211_0850",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -14.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 10 },
["render"] = "\\frac{143}{-10}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{3}{10}",
["tex_float"] = "-14{,}3",
["x"] = -14,
["y"] = 3,
["z"] = 10 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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"] = "\\frac{11}{8 - 7}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot \\frac{11}{8 - 7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot \\frac{11}{8 - 7}}{-10}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.41, bodu=75, $$-8 + 3\frac{3}{8} + \frac{10 \cdot 4\frac{3}{10}}{8}=\textcolor{white}{0{,}75}$$return {
["body"] = 75,
["id"] = "0PUoPG_1211_0850",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 4 },
["render"] = "\\frac{3}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{4}",
["tex_float"] = "0{,}75",
["y"] = 3,
["z"] = 4 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 4\\frac{3}{10}}{8}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} + \\frac{10 \\cdot 4\\frac{3}{10}}{8}",
["typ"] = "plus" },
["render"] = "-8 + 3\\frac{3}{8} + \\frac{10 \\cdot 4\\frac{3}{10}}{8}",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.42, bodu=39, $$(7 + \frac{13}{(14 - 9)^3}) \cdot 10=\textcolor{white}{71{,}04}$$return {
["body"] = 39,
["id"] = "sl47mF_1211_0850",
["obtiznost"] = 0.4704,
["reseni"] = {
["float"] = 71.04,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1776,
["jmenovatel"] = 25 },
["render"] = "\\frac{8880}{125}",
["typ"] = "cislo" },
["tex"] = "71\\frac{1}{25}",
["tex_float"] = "71{,}04",
["x"] = 71,
["y"] = 1,
["z"] = 25 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(14 - 9)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{(14 - 9)^3}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{13}{(14 - 9)^3}",
["typ"] = "plus" },
["render"] = "(7 + \\frac{13}{(14 - 9)^3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(7 + \\frac{13}{(14 - 9)^3}) \\cdot 10",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.43, bodu=55, $$8 \cdot \frac{-12}{\frac{4\frac{3}{7}}{10}}=\textcolor{white}{-216\frac{24}{31}}$$return {
["body"] = 55,
["id"] = "pR9q5q_1211_0850",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -216.77419354839,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6720,
["jmenovatel"] = 31 },
["render"] = "\\frac{-6720}{31}",
["typ"] = "cislo" },
["tex"] = "-216\\frac{24}{31}",
["x"] = -216,
["y"] = 24,
["z"] = 31 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{4\\frac{3}{7}}{10}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-12}{\\frac{4\\frac{3}{7}}{10}}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.44, bodu=59, $$\frac{12 + (11 + (-8))^4}{2\frac{5}{9} \cdot 9}=\textcolor{white}{4\frac{1}{23}}$$return {
["body"] = 59,
["id"] = "CTe5OY_1211_0850",
["obtiznost"] = 0.6728,
["reseni"] = {
["float"] = 4.0434782608696,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 23 },
["render"] = "\\frac{93}{23}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{23}",
["x"] = 4,
["y"] = 1,
["z"] = 23 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 4,
["render"] = "(11 + (-8))^4",
["typ"] = "mocnina" },
["render"] = "12 + (11 + (-8))^4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{12 + (11 + (-8))^4}{2\\frac{5}{9} \\cdot 9}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.45, bodu=48, $$(11 + 9)^2 \cdot (-14 - (-6 - (-4))^4)^2=\textcolor{white}{360000}$$return {
["body"] = 48,
["id"] = "i9VVYz_1211_0850",
["obtiznost"] = 0.9776,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 360000,
["jmenovatel"] = 1 },
["render"] = "\\frac{360000}{1}",
["typ"] = "cislo" },
["tex"] = "360000",
["x"] = 360000 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-6 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-6 - (-4))^4",
["typ"] = "mocnina" },
["render"] = "-14 - (-6 - (-4))^4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-14 - (-6 - (-4))^4)^2",
["typ"] = "mocnina" },
["render"] = "(11 + 9)^2 \\cdot (-14 - (-6 - (-4))^4)^2",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.46, bodu=58, $$\frac{5 \cdot -7}{(-9 + 2\frac{4}{6}) \cdot 11}=\textcolor{white}{\frac{105}{209}}$$return {
["body"] = 58,
["id"] = "i13Ekv_1211_0850",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 0.50239234449761,
["objekt"] = {
["hodnota"] = {
["citatel"] = 105,
["jmenovatel"] = 209 },
["render"] = "\\frac{-105}{-209}",
["typ"] = "cislo" },
["tex"] = "\\frac{105}{209}",
["y"] = 105,
["z"] = 209 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(-9 + 2\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-9 + 2\\frac{4}{6}) \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{5 \\cdot -7}{(-9 + 2\\frac{4}{6}) \\cdot 11}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.47, bodu=95, $$(4\frac{1}{2} \cdot -7 \cdot \frac{-6}{14})^2=\textcolor{white}{182{,}25}$$return {
["body"] = 95,
["id"] = "WsjxSL_1211_0850",
["obtiznost"] = 0.9632,
["reseni"] = {
["float"] = 182.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 4 },
["render"] = "\\frac{729}{4}",
["typ"] = "cislo" },
["tex"] = "182\\frac{1}{4}",
["tex_float"] = "182{,}25",
["x"] = 182,
["y"] = 1,
["z"] = 4 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.47",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{14}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{2} \\cdot -7 \\cdot \\frac{-6}{14}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{2} \\cdot -7 \\cdot \\frac{-6}{14})^2",
["typ"] = "mocnina" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.48, bodu=19, $$10 + (-3) + 7 - 10 \cdot 10 - (-15)=\textcolor{white}{-71}$$return {
["body"] = 19,
["id"] = "ieu3bi_1211_0850",
["obtiznost"] = 0.48,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 1 },
["render"] = "\\frac{-71}{1}",
["typ"] = "cislo" },
["tex"] = "-71",
["x"] = -71 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "10 + (-3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + (-3) + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot 10",
["typ"] = "krat" },
["render"] = "10 + (-3) + 7 - 10 \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "10 + (-3) + 7 - 10 \\cdot 10 - (-15)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.49, bodu=85, $$\frac{10 + 12}{12 \cdot 3\frac{5}{7} + 3\frac{2}{4}}=\textcolor{white}{\frac{308}{673}}$$return {
["body"] = 85,
["id"] = "RjALoj_1211_0850",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 0.45765230312036,
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 673 },
["render"] = "\\frac{308}{673}",
["typ"] = "cislo" },
["tex"] = "\\frac{308}{673}",
["y"] = 308,
["z"] = 673 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{5}{7} + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{10 + 12}{12 \\cdot 3\\frac{5}{7} + 3\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.5, bodu=21, $$9 \cdot -10 \cdot ((10 - 12)^3 - 3)=\textcolor{white}{990}$$return {
["body"] = 21,
["id"] = "WSoYtj_1211_0850",
["obtiznost"] = 0.5036,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 990,
["jmenovatel"] = 1 },
["render"] = "\\frac{990}{1}",
["typ"] = "cislo" },
["tex"] = "990",
["tex_float"] = "990",
["x"] = 990 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(10 - 12)^3 - 3",
["typ"] = "minus" },
["render"] = "((10 - 12)^3 - 3)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot -10 \\cdot ((10 - 12)^3 - 3)",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.51, bodu=63, $$12 + \frac{5}{14} + 3\frac{4}{11} \cdot -13=\textcolor{white}{-31\frac{57}{154}}$$return {
["body"] = 63,
["id"] = "fetg7n_1211_0850",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -31.37012987013,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4831,
["jmenovatel"] = 154 },
["render"] = "\\frac{-4831}{154}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{57}{154}",
["x"] = -31,
["y"] = 57,
["z"] = 154 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{5}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{5}{14} + 3\\frac{4}{11} \\cdot -13",
["typ"] = "plus" },
["render"] = "12 + \\frac{5}{14} + 3\\frac{4}{11} \\cdot -13",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.52, bodu=89, $$(\frac{2\frac{2}{6}}{11 \cdot 9} + (-5)) \cdot 1\frac{4}{10}=\textcolor{white}{-6\frac{1436}{1485}}$$return {
["body"] = 89,
["id"] = "mkvLN9_1211_0850",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -6.9670033670034,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10346,
["jmenovatel"] = 1485 },
["render"] = "\\frac{-10346}{1485}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{1436}{1485}",
["x"] = -6,
["y"] = 1436,
["z"] = 1485 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.52",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{6}}{11 \\cdot 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{11 \\cdot 9} + (-5)",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{2}{6}}{11 \\cdot 9} + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{2}{6}}{11 \\cdot 9} + (-5)) \\cdot 1\\frac{4}{10}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.53, bodu=70, $$(\frac{-3}{\frac{6}{9}})^2 \cdot 1\frac{1}{4}=\textcolor{white}{25\frac{5}{16}}$$return {
["body"] = 70,
["id"] = "DJ9cHw_1211_0850",
["obtiznost"] = 0.764,
["reseni"] = {
["float"] = 25.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 405,
["jmenovatel"] = 16 },
["render"] = "\\frac{405}{16}",
["typ"] = "cislo" },
["tex"] = "25\\frac{5}{16}",
["x"] = 25,
["y"] = 5,
["z"] = 16 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.53",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-3}{\\frac{6}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-3}{\\frac{6}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{\\frac{6}{9}})^2 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.54, bodu=92, $$3\frac{1}{4} + 9 + 8 + (-10 \cdot -17 + 4\frac{3}{8})=\textcolor{white}{194{,}625}$$return {
["body"] = 92,
["id"] = "ukeO25_1211_0850",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 194.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1557,
["jmenovatel"] = 8 },
["render"] = "\\frac{6228}{32}",
["typ"] = "cislo" },
["tex"] = "194\\frac{5}{8}",
["tex_float"] = "194{,}625",
["x"] = 194,
["y"] = 5,
["z"] = 8 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 9 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -17 + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "3\\frac{1}{4} + 9 + 8 + (-10 \\cdot -17 + 4\\frac{3}{8})",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.55, bodu=68, $$\frac{\frac{-8 \cdot 11}{2\frac{4}{8}}}{-4}=\textcolor{white}{8{,}8}$$return {
["body"] = 68,
["id"] = "SpLoNz_1211_0850",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 8.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 5 },
["render"] = "\\frac{-176}{-20}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{5}",
["tex_float"] = "8{,}8",
["x"] = 8,
["y"] = 4,
["z"] = 5 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.55",
["zadani"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 11}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8 \\cdot 11}{2\\frac{4}{8}}}{-4}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.56, bodu=122, $$(3\frac{1}{5} - 11) \cdot \frac{3\frac{1}{6}}{3\frac{4}{8}} \cdot -16=\textcolor{white}{112\frac{32}{35}}$$return {
["body"] = 122,
["id"] = "xhA4qN_1211_0850",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 112.91428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3952,
["jmenovatel"] = 35 },
["render"] = "\\frac{11856}{105}",
["typ"] = "cislo" },
["tex"] = "112\\frac{32}{35}",
["x"] = 112,
["y"] = 32,
["z"] = 35 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{5} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{3\\frac{4}{8}} \\cdot -16",
["typ"] = "krat" },
["render"] = "(3\\frac{1}{5} - 11) \\cdot \\frac{3\\frac{1}{6}}{3\\frac{4}{8}} \\cdot -16",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.57, bodu=123, $$\frac{11 - 3\frac{1}{7} + 9 - 1\frac{4}{10}}{1\frac{1}{5}}=\textcolor{white}{12\frac{37}{42}}$$return {
["body"] = 123,
["id"] = "6ApTZE_1211_0850",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 12.880952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 541,
["jmenovatel"] = 42 },
["render"] = "\\frac{2705}{210}",
["typ"] = "cislo" },
["tex"] = "12\\frac{37}{42}",
["x"] = 12,
["y"] = 37,
["z"] = 42 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "11 - 3\\frac{1}{7} + 9 - 1\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 3\\frac{1}{7} + 9 - 1\\frac{4}{10}}{1\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.58, bodu=71, $$\frac{\frac{4\frac{3}{9}}{8}}{(11 + 16) \cdot 15}=\textcolor{white}{\frac{13}{9720}}$$return {
["body"] = 71,
["id"] = "1sxuw5_1211_0850",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 0.0013374485596708,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9720 },
["render"] = "\\frac{13}{9720}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{9720}",
["y"] = 13,
["z"] = 9720 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "11 + 16",
["typ"] = "plus" },
["render"] = "(11 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(11 + 16) \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{3}{9}}{8}}{(11 + 16) \\cdot 15}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.59, bodu=190, $$2\frac{3}{7} - 1\frac{1}{5} \cdot 4\frac{3}{9} - (2\frac{4}{9} + 2\frac{1}{9})=\textcolor{white}{-7\frac{103}{315}}$$return {
["body"] = 190,
["id"] = "XXMI0l_1211_0850",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -7.3269841269841,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2308,
["jmenovatel"] = 315 },
["render"] = "\\frac{-2308}{315}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{103}{315}",
["x"] = -7,
["y"] = 103,
["z"] = 315 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{7} - 1\\frac{1}{5} \\cdot 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{9} + 2\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{7} - 1\\frac{1}{5} \\cdot 4\\frac{3}{9} - (2\\frac{4}{9} + 2\\frac{1}{9})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.6, bodu=100, $$\frac{(3\frac{4}{8} \cdot 3\frac{5}{11} + 13 + 4) \cdot -9}{14}=\textcolor{white}{-18\frac{54}{77}}$$return {
["body"] = 100,
["id"] = "LwLKNe_1211_0850",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -18.701298701299,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1440,
["jmenovatel"] = 77 },
["render"] = "\\frac{-2880}{154}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{54}{77}",
["x"] = -18,
["y"] = 54,
["z"] = 77 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 + 4",
["typ"] = "plus" },
["render"] = "3\\frac{4}{8} \\cdot 3\\frac{5}{11} + 13 + 4",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} \\cdot 3\\frac{5}{11} + 13 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{8} \\cdot 3\\frac{5}{11} + 13 + 4) \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{4}{8} \\cdot 3\\frac{5}{11} + 13 + 4) \\cdot -9}{14}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.61, bodu=129, $$\frac{4\frac{1}{6} - 4\frac{2}{3}}{-11 + \frac{11}{19 + 3\frac{1}{10}}}=\textcolor{white}{\frac{221}{4642}}$$return {
["body"] = 129,
["id"] = "dcGwfK_1211_0850",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 0.04760878931495,
["objekt"] = {
["hodnota"] = {
["citatel"] = 221,
["jmenovatel"] = 4642 },
["render"] = "\\frac{-221}{-4642}",
["typ"] = "cislo" },
["tex"] = "\\frac{221}{4642}",
["y"] = 221,
["z"] = 4642 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 4\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "19 + 3\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "\\frac{11}{19 + 3\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{11}{19 + 3\\frac{1}{10}}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{6} - 4\\frac{2}{3}}{-11 + \\frac{11}{19 + 3\\frac{1}{10}}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.62, bodu=174, $$\frac{18 - ((12 - 3\frac{4}{12})^2 + (-11)) \cdot 1\frac{2}{3}}{3\frac{3}{8}}=\textcolor{white}{-26\frac{238}{729}}$$return {
["body"] = 174,
["id"] = "20OAHI_1211_0850",
["obtiznost"] = 1.494,
["reseni"] = {
["float"] = -26.326474622771,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19192,
["jmenovatel"] = 729 },
["render"] = "\\frac{-19192}{729}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{238}{729}",
["x"] = -26,
["y"] = 238,
["z"] = 729 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{4}{12}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 3\\frac{4}{12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(12 - 3\\frac{4}{12})^2 + (-11)",
["typ"] = "plus" },
["render"] = "((12 - 3\\frac{4}{12})^2 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "((12 - 3\\frac{4}{12})^2 + (-11)) \\cdot 1\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "18 - ((12 - 3\\frac{4}{12})^2 + (-11)) \\cdot 1\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{18 - ((12 - 3\\frac{4}{12})^2 + (-11)) \\cdot 1\\frac{2}{3}}{3\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.63, bodu=87, $$\frac{\frac{-11}{(\frac{-13}{5})^2} - (-10 + 3\frac{3}{8})}{14}=\textcolor{white}{\frac{6757}{18928}}$$return {
["body"] = 87,
["id"] = "vs52Op_1211_0850",
["obtiznost"] = 0.9076,
["reseni"] = {
["float"] = 0.35698436179205,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6757,
["jmenovatel"] = 18928 },
["render"] = "\\frac{6757}{18928}",
["typ"] = "cislo" },
["tex"] = "\\frac{6757}{18928}",
["y"] = 6757,
["z"] = 18928 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{-11}{(\\frac{-13}{5})^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{(\\frac{-13}{5})^2} - (-10 + 3\\frac{3}{8})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{(\\frac{-13}{5})^2} - (-10 + 3\\frac{3}{8})}{14}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.64, bodu=79, $$14 - (4\frac{2}{8} \cdot 18 + (2 - (-14)) \cdot 12)=\textcolor{white}{-254{,}5}$$return {
["body"] = 79,
["id"] = "hfzwTr_1211_0850",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -254.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -509,
["jmenovatel"] = 2 },
["render"] = "\\frac{-509}{2}",
["typ"] = "cislo" },
["tex"] = "-254\\frac{1}{2}",
["tex_float"] = "-254{,}5",
["x"] = -254,
["y"] = 1,
["z"] = 2 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2 - (-14)",
["typ"] = "minus" },
["render"] = "(2 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(2 - (-14)) \\cdot 12",
["typ"] = "krat" },
["render"] = "4\\frac{2}{8} \\cdot 18 + (2 - (-14)) \\cdot 12",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{8} \\cdot 18 + (2 - (-14)) \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "14 - (4\\frac{2}{8} \\cdot 18 + (2 - (-14)) \\cdot 12)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.65, bodu=200, $$3\frac{2}{9} - 4\frac{1}{3} \cdot (-9 \cdot 3\frac{5}{12} - (2\frac{2}{5} + 2\frac{3}{6}))=\textcolor{white}{157\frac{127}{180}}$$return {
["body"] = 200,
["id"] = "tlC2Do_1211_0850",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = 157.70555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28387,
["jmenovatel"] = 180 },
["render"] = "\\frac{85161}{540}",
["typ"] = "cislo" },
["tex"] = "157\\frac{127}{180}",
["x"] = 157,
["y"] = 127,
["z"] = 180 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{5} + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot 3\\frac{5}{12} - (2\\frac{2}{5} + 2\\frac{3}{6})",
["typ"] = "minus" },
["render"] = "(-9 \\cdot 3\\frac{5}{12} - (2\\frac{2}{5} + 2\\frac{3}{6}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{3} \\cdot (-9 \\cdot 3\\frac{5}{12} - (2\\frac{2}{5} + 2\\frac{3}{6}))",
["typ"] = "krat" },
["render"] = "3\\frac{2}{9} - 4\\frac{1}{3} \\cdot (-9 \\cdot 3\\frac{5}{12} - (2\\frac{2}{5} + 2\\frac{3}{6}))",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.66, bodu=81, $$\frac{\frac{17}{-15}}{\frac{-11}{3\frac{5}{8} - (-15)}}=\textcolor{white}{1\frac{1213}{1320}}$$return {
["body"] = 81,
["id"] = "ssQlkQ_1211_0850",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 1.9189393939394,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2533,
["jmenovatel"] = 1320 },
["render"] = "\\frac{-2533}{-1320}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1213}{1320}",
["x"] = 1,
["y"] = 1213,
["z"] = 1320 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{-11}{3\\frac{5}{8} - (-15)}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{17}{-15}}{\\frac{-11}{3\\frac{5}{8} - (-15)}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.67, bodu=138, $$\frac{1\frac{5}{10}}{(9 + 4\frac{2}{8} + 16) \cdot (-7 - 4\frac{1}{6})}=\textcolor{white}{-\frac{4}{871}}$$return {
["body"] = 138,
["id"] = "loDbui_1211_0850",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -0.0045924225028703,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 871 },
["render"] = "\\frac{24}{-5226}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{871}",
["y"] = -4,
["z"] = 871 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + 16",
["typ"] = "plus" },
["render"] = "9 + 4\\frac{2}{8} + 16",
["typ"] = "plus" },
["render"] = "(9 + 4\\frac{2}{8} + 16)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-7 - 4\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(-7 - 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "(9 + 4\\frac{2}{8} + 16) \\cdot (-7 - 4\\frac{1}{6})",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{10}}{(9 + 4\\frac{2}{8} + 16) \\cdot (-7 - 4\\frac{1}{6})}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.68, bodu=140, $$1\frac{1}{10} - (-12) - (15 + \frac{2\frac{3}{9} + 17}{5} + 4\frac{3}{7})=\textcolor{white}{-10\frac{41}{210}}$$return {
["body"] = 140,
["id"] = "NFXvmz_1211_0850",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -10.195238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2141,
["jmenovatel"] = 210 },
["render"] = "\\frac{-10705}{1050}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{41}{210}",
["x"] = -10,
["y"] = 41,
["z"] = 210 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - (-12)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} + 17}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} + 17}{5} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "15 + \\frac{2\\frac{3}{9} + 17}{5} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(15 + \\frac{2\\frac{3}{9} + 17}{5} + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{10} - (-12) - (15 + \\frac{2\\frac{3}{9} + 17}{5} + 4\\frac{3}{7})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.69, bodu=67, $$\frac{18}{15 + \frac{8 \cdot (9 + (-20))^2}{20}}=\textcolor{white}{\frac{90}{317}}$$return {
["body"] = 67,
["id"] = "h0vsvV_1211_0850",
["obtiznost"] = 0.7388,
["reseni"] = {
["float"] = 0.28391167192429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 317 },
["render"] = "\\frac{90}{317}",
["typ"] = "cislo" },
["tex"] = "\\frac{90}{317}",
["y"] = 90,
["z"] = 317 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "9 + (-20)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (-20))^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (9 + (-20))^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot (9 + (-20))^2}{20}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{8 \\cdot (9 + (-20))^2}{20}",
["typ"] = "plus" },
["render"] = "\\frac{18}{15 + \\frac{8 \\cdot (9 + (-20))^2}{20}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.7, bodu=86, $$\frac{4\frac{2}{10}}{-5 - \frac{8}{15} \cdot -12}=\textcolor{white}{3}$$return {
["body"] = 86,
["id"] = "U7VJTV_1211_0850",
["obtiznost"] = 0.9,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{105}{35}",
["typ"] = "cislo" },
["tex"] = "3",
["x"] = 3 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{15} \\cdot -12",
["typ"] = "krat" },
["render"] = "-5 - \\frac{8}{15} \\cdot -12",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{10}}{-5 - \\frac{8}{15} \\cdot -12}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.71, bodu=149, $$\frac{(14 + 10)^2}{2\frac{5}{13}} \cdot (7 + 2\frac{5}{12} + 12)=\textcolor{white}{5173\frac{5}{31}}$$return {
["body"] = 149,
["id"] = "obUxzF_1211_0850",
["obtiznost"] = 1.3408,
["reseni"] = {
["float"] = 5173.1612903226,
["objekt"] = {
["hodnota"] = {
["citatel"] = 160368,
["jmenovatel"] = 31 },
["render"] = "\\frac{1924416}{372}",
["typ"] = "cislo" },
["tex"] = "5173\\frac{5}{31}",
["x"] = 5173,
["y"] = 5,
["z"] = 31 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "14 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{(14 + 10)^2}{2\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{5}{12} + 12",
["typ"] = "plus" },
["render"] = "(7 + 2\\frac{5}{12} + 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{(14 + 10)^2}{2\\frac{5}{13}} \\cdot (7 + 2\\frac{5}{12} + 12)",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.72, bodu=120, $$\frac{(\frac{14}{-10})^2}{3\frac{2}{8} - 2\frac{1}{5} - 19}=\textcolor{white}{-\frac{196}{1795}}$$return {
["body"] = 120,
["id"] = "9Knbqq_1211_0850",
["obtiznost"] = 1.1496,
["reseni"] = {
["float"] = -0.1091922005571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -196,
["jmenovatel"] = 1795 },
["render"] = "\\frac{980}{-8975}",
["typ"] = "cislo" },
["tex"] = "-\\frac{196}{1795}",
["y"] = -196,
["z"] = 1795 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.72",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{-10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 2\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 2\\frac{1}{5} - 19",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{14}{-10})^2}{3\\frac{2}{8} - 2\\frac{1}{5} - 19}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.73, bodu=90, $$\frac{\frac{-6 \cdot (-12 - 2\frac{1}{4})}{5}}{11}=\textcolor{white}{1\frac{61}{110}}$$return {
["body"] = 90,
["id"] = "DV1gN0_1211_0850",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 1.5545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 171,
["jmenovatel"] = 110 },
["render"] = "\\frac{171}{110}",
["typ"] = "cislo" },
["tex"] = "1\\frac{61}{110}",
["x"] = 1,
["y"] = 61,
["z"] = 110 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(-12 - 2\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-12 - 2\\frac{1}{4})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot (-12 - 2\\frac{1}{4})}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6 \\cdot (-12 - 2\\frac{1}{4})}{5}}{11}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.74, bodu=92, $$-11 - (-9) - \frac{-7 + 3\frac{2}{9}}{12 + (-13)}=\textcolor{white}{-5\frac{7}{9}}$$return {
["body"] = 92,
["id"] = "01JB0P_1211_0850",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -5.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 9 },
["render"] = "\\frac{-52}{9}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{7}{9}",
["x"] = -5,
["y"] = 7,
["z"] = 9 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-11 - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-7 + 3\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{-7 + 3\\frac{2}{9}}{12 + (-13)}",
["typ"] = "lomeno" },
["render"] = "-11 - (-9) - \\frac{-7 + 3\\frac{2}{9}}{12 + (-13)}",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.75, bodu=120, $$\frac{2\frac{5}{11} - (-14)}{2\frac{5}{10}} \cdot \frac{18}{15}=\textcolor{white}{7\frac{247}{275}}$$return {
["body"] = 120,
["id"] = "bRt3D5_1211_0850",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 7.8981818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2172,
["jmenovatel"] = 275 },
["render"] = "\\frac{2172}{275}",
["typ"] = "cislo" },
["tex"] = "7\\frac{247}{275}",
["x"] = 7,
["y"] = 247,
["z"] = 275 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11} - (-14)}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{18}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{11} - (-14)}{2\\frac{5}{10}} \\cdot \\frac{18}{15}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.76, bodu=230, $$(\frac{4\frac{1}{6} + 4\frac{2}{10}}{(\frac{5}{-8})^3} - 3\frac{3}{4}) \cdot 3\frac{3}{10}=\textcolor{white}{-125\frac{11639}{25000}}$$return {
["body"] = 230,
["id"] = "FeVkDg_1211_0850",
["obtiznost"] = 1.8148,
["reseni"] = {
["float"] = -125.46556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3136639,
["jmenovatel"] = 25000 },
["render"] = "\\frac{-9409917}{75000}",
["typ"] = "cislo" },
["tex"] = "-125\\frac{11639}{25000}",
["x"] = -125,
["y"] = 11639,
["z"] = 25000 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 4\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{-8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{1}{6} + 4\\frac{2}{10}}{(\\frac{5}{-8})^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6} + 4\\frac{2}{10}}{(\\frac{5}{-8})^3} - 3\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{1}{6} + 4\\frac{2}{10}}{(\\frac{5}{-8})^3} - 3\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{1}{6} + 4\\frac{2}{10}}{(\\frac{5}{-8})^3} - 3\\frac{3}{4}) \\cdot 3\\frac{3}{10}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.77, bodu=123, $$\frac{-14}{-5 \cdot 4\frac{2}{8}} - 10 \cdot 2\frac{4}{7}=\textcolor{white}{-25\frac{33}{595}}$$return {
["body"] = 123,
["id"] = "Co97il_1211_0850",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -25.055462184874,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14908,
["jmenovatel"] = 595 },
["render"] = "\\frac{-14908}{595}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{33}{595}",
["x"] = -25,
["y"] = 33,
["z"] = 595 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-14}{-5 \\cdot 4\\frac{2}{8}}",
["typ"] = "lomeno" },
["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"] = "\\frac{-14}{-5 \\cdot 4\\frac{2}{8}} - 10 \\cdot 2\\frac{4}{7}",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.78, bodu=125, $$5 \cdot (\frac{\frac{9}{17}}{4\frac{4}{9}} - 1\frac{1}{8})=\textcolor{white}{-5\frac{1}{34}}$$return {
["body"] = 125,
["id"] = "2EczjK_1211_0850",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -5.0294117647059,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 34 },
["render"] = "\\frac{-855}{170}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{34}",
["x"] = -5,
["y"] = 1,
["z"] = 34 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{9}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{17}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{17}}{4\\frac{4}{9}} - 1\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{9}{17}}{4\\frac{4}{9}} - 1\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (\\frac{\\frac{9}{17}}{4\\frac{4}{9}} - 1\\frac{1}{8})",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.79, bodu=126, $$\frac{\frac{3\frac{3}{8}}{15 + 4\frac{2}{9} + (-12 \cdot 16)}}{5}=\textcolor{white}{-\frac{243}{62200}}$$return {
["body"] = 126,
["id"] = "l5Y5mZ_1211_0850",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -0.0039067524115756,
["objekt"] = {
["hodnota"] = {
["citatel"] = -243,
["jmenovatel"] = 62200 },
["render"] = "\\frac{-243}{62200}",
["typ"] = "cislo" },
["tex"] = "-\\frac{243}{62200}",
["y"] = -243,
["z"] = 62200 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 16",
["typ"] = "krat" },
["render"] = "15 + 4\\frac{2}{9} + (-12 \\cdot 16)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{8}}{15 + 4\\frac{2}{9} + (-12 \\cdot 16)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{8}}{15 + 4\\frac{2}{9} + (-12 \\cdot 16)}}{5}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.8, bodu=159, $$2\frac{2}{6} - \frac{\frac{4\frac{1}{9}}{1\frac{5}{12} - 7}}{-5 + 5 + 5}=\textcolor{white}{2\frac{161}{335}}$$return {
["body"] = 159,
["id"] = "aRgBNh_1211_0850",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 2.4805970149254,
["objekt"] = {
["hodnota"] = {
["citatel"] = 831,
["jmenovatel"] = 335 },
["render"] = "\\frac{7479}{3015}",
["typ"] = "cislo" },
["tex"] = "2\\frac{161}{335}",
["x"] = 2,
["y"] = 161,
["z"] = 335 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 7",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{9}}{1\\frac{5}{12} - 7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 + 5 + 5",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{1}{9}}{1\\frac{5}{12} - 7}}{-5 + 5 + 5}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{6} - \\frac{\\frac{4\\frac{1}{9}}{1\\frac{5}{12} - 7}}{-5 + 5 + 5}",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.81, bodu=129, $$\frac{\frac{\frac{19}{2\frac{1}{7} \cdot (-11 - 8)}}{3\frac{1}{6}}}{17}=\textcolor{white}{-\frac{14}{1615}}$$return {
["body"] = 129,
["id"] = "kptt2Y_1211_0850",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -0.0086687306501548,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1615 },
["render"] = "\\frac{-14}{1615}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14}{1615}",
["y"] = -14,
["z"] = 1615 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-11 - 8)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot (-11 - 8)",
["typ"] = "krat" },
["render"] = "\\frac{19}{2\\frac{1}{7} \\cdot (-11 - 8)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{19}{2\\frac{1}{7} \\cdot (-11 - 8)}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{19}{2\\frac{1}{7} \\cdot (-11 - 8)}}{3\\frac{1}{6}}}{17}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.82, bodu=195, $$14 \cdot (3\frac{2}{11} + 2\frac{3}{12} - (-17 - 3\frac{2}{9}) - \frac{4\frac{3}{12}}{18})=\textcolor{white}{355\frac{337}{396}}$$return {
["body"] = 195,
["id"] = "YkYRrw_1211_0850",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 355.85101010101,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140917,
["jmenovatel"] = 396 },
["render"] = "\\frac{281834}{792}",
["typ"] = "cislo" },
["tex"] = "355\\frac{337}{396}",
["x"] = 355,
["y"] = 337,
["z"] = 396 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-17 - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(-17 - 3\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{12} - (-17 - 3\\frac{2}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{12}}{18}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{12} - (-17 - 3\\frac{2}{9}) - \\frac{4\\frac{3}{12}}{18}",
["typ"] = "minus" },
["render"] = "3\\frac{2}{11} + 2\\frac{3}{12} - (-17 - 3\\frac{2}{9}) - \\frac{4\\frac{3}{12}}{18}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{11} + 2\\frac{3}{12} - (-17 - 3\\frac{2}{9}) - \\frac{4\\frac{3}{12}}{18})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (3\\frac{2}{11} + 2\\frac{3}{12} - (-17 - 3\\frac{2}{9}) - \\frac{4\\frac{3}{12}}{18})",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.83, bodu=197, $$\frac{\frac{1\frac{1}{6}}{8 + (-19)}}{3\frac{5}{14} + 2\frac{5}{8} - 4\frac{3}{9} + (-11)}=\textcolor{white}{\frac{196}{17281}}$$return {
["body"] = 197,
["id"] = "7J5ENi_1211_0850",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = 0.011341936230542,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 17281 },
["render"] = "\\frac{-1176}{-103686}",
["typ"] = "cislo" },
["tex"] = "\\frac{196}{17281}",
["y"] = 196,
["z"] = 17281 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "8 + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{6}}{8 + (-19)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 4\\frac{3}{9} + (-11)",
["typ"] = "plus" },
["render"] = "3\\frac{5}{14} + 2\\frac{5}{8} - 4\\frac{3}{9} + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{1}{6}}{8 + (-19)}}{3\\frac{5}{14} + 2\\frac{5}{8} - 4\\frac{3}{9} + (-11)}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.84, bodu=165, $$1\frac{5}{7} + (-22 + 3\frac{5}{9} + 11 \cdot 19) \cdot 1\frac{4}{10} + (-14)=\textcolor{white}{254\frac{31}{63}}$$return {
["body"] = 165,
["id"] = "MLPZ20_1211_0850",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = 254.49206349206,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16033,
["jmenovatel"] = 63 },
["render"] = "\\frac{16033}{63}",
["typ"] = "cislo" },
["tex"] = "254\\frac{31}{63}",
["x"] = 254,
["y"] = 31,
["z"] = 63 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-22 + 3\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "11 \\cdot 19",
["typ"] = "krat" },
["render"] = "-22 + 3\\frac{5}{9} + 11 \\cdot 19",
["typ"] = "plus" },
["render"] = "(-22 + 3\\frac{5}{9} + 11 \\cdot 19)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-22 + 3\\frac{5}{9} + 11 \\cdot 19) \\cdot 1\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{7} + (-22 + 3\\frac{5}{9} + 11 \\cdot 19) \\cdot 1\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} + (-22 + 3\\frac{5}{9} + 11 \\cdot 19) \\cdot 1\\frac{4}{10} + (-14)",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.85, bodu=138, $$((\frac{-16 + 9}{-21} \cdot 1\frac{1}{8})^3 + (-9)) \cdot 11=\textcolor{white}{-98\frac{215}{512}}$$return {
["body"] = 138,
["id"] = "c28drE_1211_0850",
["obtiznost"] = 1.2656,
["reseni"] = {
["float"] = -98.419921875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50391,
["jmenovatel"] = 512 },
["render"] = "\\frac{-50391}{512}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{215}{512}",
["x"] = -98,
["y"] = 215,
["z"] = 512 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-16 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + 9}{-21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + 9}{-21} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{-16 + 9}{-21} \\cdot 1\\frac{1}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{-16 + 9}{-21} \\cdot 1\\frac{1}{8})^3 + (-9)",
["typ"] = "plus" },
["render"] = "((\\frac{-16 + 9}{-21} \\cdot 1\\frac{1}{8})^3 + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "((\\frac{-16 + 9}{-21} \\cdot 1\\frac{1}{8})^3 + (-9)) \\cdot 11",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.86, bodu=168, $$2\frac{1}{7} \cdot 3\frac{4}{9} \cdot (8 \cdot -15 + 3\frac{1}{9} \cdot -17)=\textcolor{white}{-1276\frac{16}{189}}$$return {
["body"] = 168,
["id"] = "2Wek75_1211_0850",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -1276.0846560847,
["objekt"] = {
["hodnota"] = {
["citatel"] = -241180,
["jmenovatel"] = 189 },
["render"] = "\\frac{-241180}{189}",
["typ"] = "cislo" },
["tex"] = "-1276\\frac{16}{189}",
["x"] = -1276,
["y"] = 16,
["z"] = 189 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} \\cdot -17",
["typ"] = "krat" },
["render"] = "8 \\cdot -15 + 3\\frac{1}{9} \\cdot -17",
["typ"] = "plus" },
["render"] = "(8 \\cdot -15 + 3\\frac{1}{9} \\cdot -17)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot 3\\frac{4}{9} \\cdot (8 \\cdot -15 + 3\\frac{1}{9} \\cdot -17)",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.87, bodu=170, $$(3\frac{5}{10} + 4\frac{4}{14}) \cdot 12 \cdot \frac{2\frac{2}{9} + (-11)}{9}=\textcolor{white}{-91\frac{23}{189}}$$return {
["body"] = 170,
["id"] = "kw6aQr_1211_0850",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -91.121693121693,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17222,
["jmenovatel"] = 189 },
["render"] = "\\frac{-51666}{567}",
["typ"] = "cislo" },
["tex"] = "-91\\frac{23}{189}",
["x"] = -91,
["y"] = 23,
["z"] = 189 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + 4\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{10} + 4\\frac{4}{14})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{10} + 4\\frac{4}{14}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9} + (-11)}{9}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{5}{10} + 4\\frac{4}{14}) \\cdot 12 \\cdot \\frac{2\\frac{2}{9} + (-11)}{9}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.88, bodu=205, $$4\frac{3}{8} - (1\frac{5}{13} - \frac{(4 + 3\frac{2}{5}) \cdot 2\frac{2}{7}}{18})=\textcolor{white}{3\frac{30469}{32760}}$$return {
["body"] = 205,
["id"] = "PQQLjL_1211_0850",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = 3.9300671550672,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128749,
["jmenovatel"] = 32760 },
["render"] = "\\frac{128749}{32760}",
["typ"] = "cislo" },
["tex"] = "3\\frac{30469}{32760}",
["x"] = 3,
["y"] = 30469,
["z"] = 32760 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4 + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(4 + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(4 + 3\\frac{2}{5}) \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + 3\\frac{2}{5}) \\cdot 2\\frac{2}{7}}{18}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{13} - \\frac{(4 + 3\\frac{2}{5}) \\cdot 2\\frac{2}{7}}{18}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{13} - \\frac{(4 + 3\\frac{2}{5}) \\cdot 2\\frac{2}{7}}{18})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} - (1\\frac{5}{13} - \\frac{(4 + 3\\frac{2}{5}) \\cdot 2\\frac{2}{7}}{18})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.89, bodu=112, $$\frac{2\frac{3}{8}}{-12} - (13 - (-13 - 9) \cdot -15)=\textcolor{white}{316\frac{77}{96}}$$return {
["body"] = 112,
["id"] = "DUW4GO_1211_0850",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 316.80208333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30413,
["jmenovatel"] = 96 },
["render"] = "\\frac{30413}{96}",
["typ"] = "cislo" },
["tex"] = "316\\frac{77}{96}",
["x"] = 316,
["y"] = 77,
["z"] = 96 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["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"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-13 - 9) \\cdot -15",
["typ"] = "krat" },
["render"] = "13 - (-13 - 9) \\cdot -15",
["typ"] = "minus" },
["render"] = "(13 - (-13 - 9) \\cdot -15)",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{3}{8}}{-12} - (13 - (-13 - 9) \\cdot -15)",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.9, bodu=179, $$\frac{(-5 + 9)^3 - 4\frac{4}{11}}{2\frac{3}{7} \cdot -13 \cdot 4\frac{4}{7}}=\textcolor{white}{-\frac{2009}{4862}}$$return {
["body"] = 179,
["id"] = "jqFz8C_1211_0850",
["obtiznost"] = 1.526,
["reseni"] = {
["float"] = -0.41320444261621,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2009,
["jmenovatel"] = 4862 },
["render"] = "\\frac{32144}{-77792}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2009}{4862}",
["y"] = -2009,
["z"] = 4862 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-5 + 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(-5 + 9)^3 - 4\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} \\cdot -13 \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{(-5 + 9)^3 - 4\\frac{4}{11}}{2\\frac{3}{7} \\cdot -13 \\cdot 4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.91, bodu=211, $$3\frac{2}{10} \cdot -13 + 1\frac{2}{3} - (3\frac{2}{8} - (-11 + \frac{1\frac{4}{9}}{6}))=\textcolor{white}{-53\frac{509}{540}}$$return {
["body"] = 211,
["id"] = "at5NGD_1211_0850",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -53.942592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29129,
["jmenovatel"] = 540 },
["render"] = "\\frac{-87387}{1620}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{509}{540}",
["x"] = -53,
["y"] = 509,
["z"] = 540 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} \\cdot -13 + 1\\frac{2}{3}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{6}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{1\\frac{4}{9}}{6}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{1\\frac{4}{9}}{6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{8} - (-11 + \\frac{1\\frac{4}{9}}{6})",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - (-11 + \\frac{1\\frac{4}{9}}{6}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{10} \\cdot -13 + 1\\frac{2}{3} - (3\\frac{2}{8} - (-11 + \\frac{1\\frac{4}{9}}{6}))",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.92, bodu=178, $$1\frac{3}{10} + 13 - (\frac{-17 - 3\frac{4}{11}}{9} - 21 - 4\frac{3}{9})=\textcolor{white}{41\frac{887}{990}}$$return {
["body"] = 178,
["id"] = "nkxH9R_1211_0850",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 41.89595959596,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41477,
["jmenovatel"] = 990 },
["render"] = "\\frac{41477}{990}",
["typ"] = "cislo" },
["tex"] = "41\\frac{887}{990}",
["x"] = 41,
["y"] = 887,
["z"] = 990 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-17 - 3\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-17 - 3\\frac{4}{11}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{-17 - 3\\frac{4}{11}}{9} - 21",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-17 - 3\\frac{4}{11}}{9} - 21 - 4\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(\\frac{-17 - 3\\frac{4}{11}}{9} - 21 - 4\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{10} + 13 - (\\frac{-17 - 3\\frac{4}{11}}{9} - 21 - 4\\frac{3}{9})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.93, bodu=184, $$4\frac{3}{8} + (-8 + 12)^3 - (-14 \cdot -9 - 4\frac{2}{7} + 1\frac{3}{8})=\textcolor{white}{-54\frac{5}{7}}$$return {
["body"] = 184,
["id"] = "xpnO2B_1211_0850",
["obtiznost"] = 1.556,
["reseni"] = {
["float"] = -54.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -383,
["jmenovatel"] = 7 },
["render"] = "\\frac{-24512}{448}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{5}{7}",
["x"] = -54,
["y"] = 5,
["z"] = 7 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 12)^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} + (-8 + 12)^3",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -9 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -9 - 4\\frac{2}{7} + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-14 \\cdot -9 - 4\\frac{2}{7} + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} + (-8 + 12)^3 - (-14 \\cdot -9 - 4\\frac{2}{7} + 1\\frac{3}{8})",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.94, bodu=233, $$\frac{-13 \cdot (\frac{10}{2\frac{2}{9}})^3}{12} \cdot (4\frac{4}{11} + 3\frac{5}{10})=\textcolor{white}{-776\frac{203}{704}}$$return {
["body"] = 233,
["id"] = "m6ImwN_1211_0850",
["obtiznost"] = 1.8348,
["reseni"] = {
["float"] = -776.28835227273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -546507,
["jmenovatel"] = 704 },
["render"] = "\\frac{-546507}{704}",
["typ"] = "cislo" },
["tex"] = "-776\\frac{203}{704}",
["x"] = -776,
["y"] = 203,
["z"] = 704 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{2\\frac{2}{9}})^3",
["typ"] = "mocnina" },
["render"] = "-13 \\cdot (\\frac{10}{2\\frac{2}{9}})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot (\\frac{10}{2\\frac{2}{9}})^3}{12}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{11} + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{-13 \\cdot (\\frac{10}{2\\frac{2}{9}})^3}{12} \\cdot (4\\frac{4}{11} + 3\\frac{5}{10})",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.95, bodu=183, $$\frac{15}{-16 + (-13)} \cdot (3\frac{1}{4} + 2\frac{3}{10}) \cdot 1\frac{5}{11}=\textcolor{white}{-4\frac{56}{319}}$$return {
["body"] = 183,
["id"] = "UTRTl3_1211_0850",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -4.1755485893417,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1332,
["jmenovatel"] = 319 },
["render"] = "\\frac{-6660}{1595}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{56}{319}",
["x"] = -4,
["y"] = 56,
["z"] = 319 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-16 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{15}{-16 + (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 2\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{4} + 2\\frac{3}{10}) \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "\\frac{15}{-16 + (-13)} \\cdot (3\\frac{1}{4} + 2\\frac{3}{10}) \\cdot 1\\frac{5}{11}",
["typ"] = "krat" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.96, bodu=122, $$-18 + 2\frac{4}{10} \cdot \frac{-15}{-22} \cdot (-9 + (-4))=\textcolor{white}{-39\frac{3}{11}}$$return {
["body"] = 122,
["id"] = "l3xkKT_1211_0850",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -39.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -432,
["jmenovatel"] = 11 },
["render"] = "\\frac{-432}{11}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{3}{11}",
["x"] = -39,
["y"] = 3,
["z"] = 11 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-22}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{10} \\cdot \\frac{-15}{-22}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-9 + (-4)",
["typ"] = "plus" },
["render"] = "(-9 + (-4))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{10} \\cdot \\frac{-15}{-22} \\cdot (-9 + (-4))",
["typ"] = "krat" },
["render"] = "-18 + 2\\frac{4}{10} \\cdot \\frac{-15}{-22} \\cdot (-9 + (-4))",
["typ"] = "plus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.97, bodu=221, $$3\frac{3}{14} - \frac{\frac{1\frac{5}{15}}{11 + \frac{4\frac{2}{11}}{13}}}{3\frac{1}{8}}=\textcolor{white}{3\frac{300211}{1699950}}$$return {
["body"] = 221,
["id"] = "nBA5xt_1211_0850",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 3.1765998999971,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5400061,
["jmenovatel"] = 1699950 },
["render"] = "\\frac{5400061}{1699950}",
["typ"] = "cislo" },
["tex"] = "3\\frac{300211}{1699950}",
["x"] = 3,
["y"] = 300211,
["z"] = 1699950 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{13}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{4\\frac{2}{11}}{13}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{15}}{11 + \\frac{4\\frac{2}{11}}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{15}}{11 + \\frac{4\\frac{2}{11}}{13}}}{3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{14} - \\frac{\\frac{1\\frac{5}{15}}{11 + \\frac{4\\frac{2}{11}}{13}}}{3\\frac{1}{8}}",
["typ"] = "minus" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.98, bodu=223, $$\frac{\frac{-9 - (1\frac{4}{13} - 3\frac{1}{7})}{2\frac{3}{11}}}{-12 + 3\frac{4}{11} + 22}=\textcolor{white}{-\frac{78892}{334425}}$$return {
["body"] = 223,
["id"] = "sIqKDa_1211_0850",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -0.23590341631158,
["objekt"] = {
["hodnota"] = {
["citatel"] = -78892,
["jmenovatel"] = 334425 },
["render"] = "\\frac{-78892}{334425}",
["typ"] = "cislo" },
["tex"] = "-\\frac{78892}{334425}",
["y"] = -78892,
["z"] = 334425 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{13} - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{13} - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "-9 - (1\\frac{4}{13} - 3\\frac{1}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (1\\frac{4}{13} - 3\\frac{1}{7})}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} + 22",
["typ"] = "plus" },
["render"] = "-12 + 3\\frac{4}{11} + 22",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-9 - (1\\frac{4}{13} - 3\\frac{1}{7})}{2\\frac{3}{11}}}{-12 + 3\\frac{4}{11} + 22}",
["typ"] = "lomeno" } }
seed: 2gvo23gOtmq2rgOQWMdQ_0.99, bodu=225, $$\frac{\frac{4\frac{2}{8} \cdot 2\frac{4}{9}}{\frac{2\frac{5}{12}}{-19}}}{3\frac{5}{12} - (-13)}=\textcolor{white}{-4\frac{5572}{5713}}$$return {
["body"] = 225,
["id"] = "TUJ4Iw_1211_0850",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -4.9753194468755,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28424,
["jmenovatel"] = 5713 },
["render"] = "\\frac{-85272}{17139}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{5572}{5713}",
["x"] = -4,
["y"] = 5572,
["z"] = 5713 },
["seed"] = "2gvo23gOtmq2rgOQWMdQ_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12}}{-19}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{8} \\cdot 2\\frac{4}{9}}{\\frac{2\\frac{5}{12}}{-19}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{4\\frac{2}{8} \\cdot 2\\frac{4}{9}}{\\frac{2\\frac{5}{12}}{-19}}}{3\\frac{5}{12} - (-13)}",
["typ"] = "lomeno" } }
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