- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: I7PzVQs6i9Nj3CBTnIcF_0, bodu=5, $$6 + 5 \cdot 3 + 7=\textcolor{white}{28}$$return {
["body"] = 5,
["id"] = "lIy0ks_0215_1750",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1 },
["render"] = "\\frac{28}{1}",
["typ"] = "cislo" },
["tex"] = "28",
["tex_float"] = "28",
["x"] = 28 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3",
["typ"] = "krat" },
["render"] = "6 + 5 \\cdot 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 5 \\cdot 3 + 7",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.01, bodu=5, $$6 \cdot 2 + (-7 + 9)=\textcolor{white}{14}$$return {
["body"] = 5,
["id"] = "RxyRWF_0215_1750",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["x"] = 14 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 + 9",
["typ"] = "plus" },
["render"] = "6 \\cdot 2 + (-7 + 9)",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.02, bodu=5, $$-6 \cdot 4 \cdot -9=\textcolor{white}{216}$$return {
["body"] = 5,
["id"] = "03ucBy_0215_1750",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 1 },
["render"] = "\\frac{216}{1}",
["typ"] = "cislo" },
["tex"] = "216",
["x"] = 216 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4 \\cdot -9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.03, bodu=5, $$(4 - 6) \cdot -6 \cdot -9=\textcolor{white}{-108}$$return {
["body"] = 5,
["id"] = "6FHhFA_0215_1750",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 1 },
["render"] = "\\frac{-108}{1}",
["typ"] = "cislo" },
["tex"] = "-108",
["tex_float"] = "-108",
["x"] = -108 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["render"] = "(4 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(4 - 6) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(4 - 6) \\cdot -6 \\cdot -9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.04, bodu=5, $$(-8 + 9) \cdot 5 \cdot 7=\textcolor{white}{35}$$return {
["body"] = 5,
["id"] = "hUOJlX_0215_1750",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 1 },
["render"] = "\\frac{35}{1}",
["typ"] = "cislo" },
["tex"] = "35",
["x"] = 35 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.04",
["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"] = "plus" },
["render"] = "(-8 + 9)",
["typ"] = "zavorka" },
["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"] = "(-8 + 9) \\cdot 5 \\cdot 7",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.05, bodu=5, $$(10 - 7)^3 + 2 \cdot 3=\textcolor{white}{33}$$return {
["body"] = 5,
["id"] = "uwPcf3_0215_1750",
["obtiznost"] = 0.0612,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 1 },
["render"] = "\\frac{33}{1}",
["typ"] = "cislo" },
["tex"] = "33",
["tex_float"] = "33",
["x"] = 33 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.05",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2 \\cdot 3",
["typ"] = "krat" },
["render"] = "(10 - 7)^3 + 2 \\cdot 3",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.06, bodu=11, $$7 \cdot \frac{(8 + (-8))^2}{7}=\textcolor{white}{0}$$return {
["body"] = 11,
["id"] = "Z8XBmu_0215_1750",
["obtiznost"] = 0.0604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(8 + (-8))^2}{7}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{(8 + (-8))^2}{7}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.07, bodu=5, $$11 - (6 - (-7)) \cdot 6=\textcolor{white}{-67}$$return {
["body"] = 5,
["id"] = "b2nqCj_0215_1750",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 1 },
["render"] = "\\frac{-67}{1}",
["typ"] = "cislo" },
["tex"] = "-67",
["tex_float"] = "-67",
["x"] = -67 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 - (-7)",
["typ"] = "minus" },
["render"] = "(6 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(6 - (-7)) \\cdot 6",
["typ"] = "krat" },
["render"] = "11 - (6 - (-7)) \\cdot 6",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.08, bodu=15, $$\frac{5}{6} - (7 + 6)^2=\textcolor{white}{-168\frac{1}{6}}$$return {
["body"] = 15,
["id"] = "xZSlbS_0215_1750",
["obtiznost"] = 0.148,
["reseni"] = {
["float"] = -168.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1009,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1009}{6}",
["typ"] = "cislo" },
["tex"] = "-168\\frac{1}{6}",
["x"] = -168,
["y"] = 1,
["z"] = 6 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(7 + 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{5}{6} - (7 + 6)^2",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.09, bodu=12, $$-8 - \frac{3}{7 + 7}=\textcolor{white}{-8\frac{3}{14}}$$return {
["body"] = 12,
["id"] = "XENwbH_0215_1750",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -8.2142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115,
["jmenovatel"] = 14 },
["render"] = "\\frac{-115}{14}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{3}{14}",
["x"] = -8,
["y"] = 3,
["z"] = 14 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "\\frac{3}{7 + 7}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{3}{7 + 7}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.1, bodu=7, $$5 - (5 - (-5 + 7))^4=\textcolor{white}{-76}$$return {
["body"] = 7,
["id"] = "uTvPBr_0215_1750",
["obtiznost"] = 0.1328,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 1 },
["render"] = "\\frac{-76}{1}",
["typ"] = "cislo" },
["tex"] = "-76",
["tex_float"] = "-76",
["x"] = -76 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 + 7",
["typ"] = "plus" },
["render"] = "(-5 + 7)",
["typ"] = "zavorka" },
["render"] = "5 - (-5 + 7)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - (-5 + 7))^4",
["typ"] = "mocnina" },
["render"] = "5 - (5 - (-5 + 7))^4",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.11, bodu=13, $$\frac{8 \cdot 12}{11}=\textcolor{white}{8\frac{8}{11}}$$return {
["body"] = 13,
["id"] = "27UpY6_0215_1750",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 8.7272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 11 },
["render"] = "\\frac{96}{11}",
["typ"] = "cislo" },
["tex"] = "8\\frac{8}{11}",
["x"] = 8,
["y"] = 8,
["z"] = 11 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 12}{11}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.12, bodu=13, $$\frac{10 \cdot 8}{-9}=\textcolor{white}{-8\frac{8}{9}}$$return {
["body"] = 13,
["id"] = "mgNaIF_0215_1750",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = -8.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 9 },
["render"] = "\\frac{80}{-9}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{8}{9}",
["x"] = -8,
["y"] = 8,
["z"] = 9 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 8}{-9}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.13, bodu=14, $$\frac{3 \cdot 9}{-6}=\textcolor{white}{-4{,}5}$$return {
["body"] = 14,
["id"] = "QQPjMC_0215_1750",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -4.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 2 },
["render"] = "\\frac{27}{-6}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{2}",
["tex_float"] = "-4{,}5",
["x"] = -4,
["y"] = 1,
["z"] = 2 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3 \\cdot 9}{-6}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.14, bodu=17, $$(\frac{3 \cdot 6}{10})^2=\textcolor{white}{3{,}24}$$return {
["body"] = 17,
["id"] = "jQUQ66_0215_1750",
["obtiznost"] = 0.1824,
["reseni"] = {
["float"] = 3.24,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 25 },
["render"] = "\\frac{81}{25}",
["typ"] = "cislo" },
["tex"] = "3\\frac{6}{25}",
["tex_float"] = "3{,}24",
["x"] = 3,
["y"] = 6,
["z"] = 25 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3 \\cdot 6}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3 \\cdot 6}{10})^2",
["typ"] = "mocnina" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.15, bodu=7, $$-9 \cdot (6 - 8) \cdot 5=\textcolor{white}{90}$$return {
["body"] = 7,
["id"] = "HmG7LI_0215_1750",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{1}",
["typ"] = "cislo" },
["tex"] = "90",
["x"] = 90 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(6 - 8) \\cdot 5",
["typ"] = "krat" },
["render"] = "-9 \\cdot (6 - 8) \\cdot 5",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.16, bodu=15, $$\frac{-4 + (-7)}{\frac{4}{12}}=\textcolor{white}{-33}$$return {
["body"] = 15,
["id"] = "P4GLoU_0215_1750",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 1 },
["render"] = "\\frac{-33}{1}",
["typ"] = "cislo" },
["tex"] = "-33",
["tex_float"] = "-33",
["x"] = -33 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-4 + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4 + (-7)}{\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.17, bodu=30, $$\frac{1\frac{4}{7}}{-7} \cdot 9=\textcolor{white}{-2\frac{1}{49}}$$return {
["body"] = 30,
["id"] = "yaWqR8_0215_1750",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -2.0204081632653,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 49 },
["render"] = "\\frac{-99}{49}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{49}",
["x"] = -2,
["y"] = 1,
["z"] = 49 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{-7} \\cdot 9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.18, bodu=16, $$\frac{-12 \cdot 10}{8}=\textcolor{white}{-15}$$return {
["body"] = 16,
["id"] = "xXAsHe_0215_1750",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-120}{8}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot 10}{8}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.19, bodu=31, $$-7 \cdot (10 + 1\frac{3}{5} \cdot 4)=\textcolor{white}{-114{,}8}$$return {
["body"] = 31,
["id"] = "axzZPJ_0215_1750",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -114.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -574,
["jmenovatel"] = 5 },
["render"] = "\\frac{-574}{5}",
["typ"] = "cislo" },
["tex"] = "-114\\frac{4}{5}",
["tex_float"] = "-114{,}8",
["x"] = -114,
["y"] = 4,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 4",
["typ"] = "krat" },
["render"] = "10 + 1\\frac{3}{5} \\cdot 4",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{3}{5} \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (10 + 1\\frac{3}{5} \\cdot 4)",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.2, bodu=32, $$(5 + 10) \cdot (4\frac{3}{7} \cdot 3 + 10)=\textcolor{white}{349\frac{2}{7}}$$return {
["body"] = 32,
["id"] = "So7rIh_0215_1750",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 349.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2445,
["jmenovatel"] = 7 },
["render"] = "\\frac{2445}{7}",
["typ"] = "cislo" },
["tex"] = "349\\frac{2}{7}",
["x"] = 349,
["y"] = 2,
["z"] = 7 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.2",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 10",
["typ"] = "plus" },
["render"] = "(5 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 3 + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} \\cdot 3 + 10)",
["typ"] = "zavorka" },
["render"] = "(5 + 10) \\cdot (4\\frac{3}{7} \\cdot 3 + 10)",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.21, bodu=47, $$3\frac{4}{6} \cdot \frac{(5 + 14)^2}{10}=\textcolor{white}{132\frac{11}{30}}$$return {
["body"] = 47,
["id"] = "I2HZ51_0215_1750",
["obtiznost"] = 0.5548,
["reseni"] = {
["float"] = 132.36666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3971,
["jmenovatel"] = 30 },
["render"] = "\\frac{3971}{30}",
["typ"] = "cislo" },
["tex"] = "132\\frac{11}{30}",
["x"] = 132,
["y"] = 11,
["z"] = 30 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "5 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(5 + 14)^2}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{6} \\cdot \\frac{(5 + 14)^2}{10}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.22, bodu=34, $$4\frac{2}{5} \cdot 8 \cdot (11 - 5)=\textcolor{white}{211{,}2}$$return {
["body"] = 34,
["id"] = "49My0c_0215_1750",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 211.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1056,
["jmenovatel"] = 5 },
["render"] = "\\frac{1056}{5}",
["typ"] = "cislo" },
["tex"] = "211\\frac{1}{5}",
["tex_float"] = "211{,}2",
["x"] = 211,
["y"] = 1,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["render"] = "(11 - 5)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (11 - 5)",
["typ"] = "krat" },
["render"] = "4\\frac{2}{5} \\cdot 8 \\cdot (11 - 5)",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.23, bodu=55, $$-10 \cdot (2\frac{1}{2} + 3 \cdot (10 + 1\frac{1}{6}))=\textcolor{white}{-360}$$return {
["body"] = 55,
["id"] = "SShA8H_0215_1750",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -360,
["jmenovatel"] = 1 },
["render"] = "\\frac{-360}{1}",
["typ"] = "cislo" },
["tex"] = "-360",
["tex_float"] = "-360",
["x"] = -360 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (10 + 1\\frac{1}{6})",
["typ"] = "krat" },
["render"] = "2\\frac{1}{2} + 3 \\cdot (10 + 1\\frac{1}{6})",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{2} + 3 \\cdot (10 + 1\\frac{1}{6}))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (2\\frac{1}{2} + 3 \\cdot (10 + 1\\frac{1}{6}))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.24, bodu=20, $$\frac{10}{\frac{-11}{11 + 9} + 10}=\textcolor{white}{1\frac{11}{189}}$$return {
["body"] = 20,
["id"] = "p3S7Ik_0215_1750",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 1.0582010582011,
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 189 },
["render"] = "\\frac{200}{189}",
["typ"] = "cislo" },
["tex"] = "1\\frac{11}{189}",
["x"] = 1,
["y"] = 11,
["z"] = 189 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["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 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-11}{11 + 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{11 + 9} + 10",
["typ"] = "plus" },
["render"] = "\\frac{10}{\\frac{-11}{11 + 9} + 10}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.25, bodu=67, $$\frac{(7 + 5 + 7 + (-10))^3}{3\frac{1}{5}}=\textcolor{white}{227\frac{13}{16}}$$return {
["body"] = 67,
["id"] = "trzjd3_0215_1750",
["obtiznost"] = 0.742,
["reseni"] = {
["float"] = 227.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3645,
["jmenovatel"] = 16 },
["render"] = "\\frac{3645}{16}",
["typ"] = "cislo" },
["tex"] = "227\\frac{13}{16}",
["x"] = 227,
["y"] = 13,
["z"] = 16 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.25",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 + (-10)",
["typ"] = "plus" },
["render"] = "5 + 7 + (-10)",
["typ"] = "plus" },
["render"] = "7 + 5 + 7 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(7 + 5 + 7 + (-10))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 5 + 7 + (-10))^3}{3\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.26, bodu=38, $$6 - 5 \cdot 4\frac{1}{4} \cdot -7=\textcolor{white}{154{,}75}$$return {
["body"] = 38,
["id"] = "QPZUDp_0215_1750",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 154.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 619,
["jmenovatel"] = 4 },
["render"] = "\\frac{619}{4}",
["typ"] = "cislo" },
["tex"] = "154\\frac{3}{4}",
["tex_float"] = "154{,}75",
["x"] = 154,
["y"] = 3,
["z"] = 4 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -7",
["typ"] = "krat" },
["render"] = "5 \\cdot 4\\frac{1}{4} \\cdot -7",
["typ"] = "krat" },
["render"] = "6 - 5 \\cdot 4\\frac{1}{4} \\cdot -7",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.27, bodu=11, $$-13 \cdot -9 - (5 + 6 + 10)=\textcolor{white}{96}$$return {
["body"] = 11,
["id"] = "MI0goT_0215_1750",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["x"] = 96 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 6 + 10",
["typ"] = "plus" },
["render"] = "(5 + 6 + 10)",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot -9 - (5 + 6 + 10)",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.28, bodu=60, $$(2\frac{2}{4} - (-5)) \cdot (3\frac{5}{9} - (-10) + (-8))=\textcolor{white}{41\frac{2}{3}}$$return {
["body"] = 60,
["id"] = "yRRMbj_0215_1750",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 41.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 3 },
["render"] = "\\frac{750}{18}",
["typ"] = "cislo" },
["tex"] = "41\\frac{2}{3}",
["x"] = 41,
["y"] = 2,
["z"] = 3 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - (-5)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{4} - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - (-10) + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{9} - (-10) + (-8))",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{4} - (-5)) \\cdot (3\\frac{5}{9} - (-10) + (-8))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.29, bodu=61, $$\frac{11}{3\frac{2}{6}} + \frac{9}{3\frac{5}{9}}=\textcolor{white}{5\frac{133}{160}}$$return {
["body"] = 61,
["id"] = "3EmGJY_0215_1750",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 5.83125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 933,
["jmenovatel"] = 160 },
["render"] = "\\frac{1866}{320}",
["typ"] = "cislo" },
["tex"] = "5\\frac{133}{160}",
["x"] = 5,
["y"] = 133,
["z"] = 160 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{3\\frac{2}{6}} + \\frac{9}{3\\frac{5}{9}}",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.3, bodu=62, $$10 \cdot (\frac{1\frac{5}{6}}{3\frac{2}{7}} - 11)=\textcolor{white}{-104\frac{29}{69}}$$return {
["body"] = 62,
["id"] = "KTU22w_0215_1750",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -104.42028985507,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7205,
["jmenovatel"] = 69 },
["render"] = "\\frac{-14410}{138}",
["typ"] = "cislo" },
["tex"] = "-104\\frac{29}{69}",
["x"] = -104,
["y"] = 29,
["z"] = 69 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{3\\frac{2}{7}} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{5}{6}}{3\\frac{2}{7}} - 11)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (\\frac{1\\frac{5}{6}}{3\\frac{2}{7}} - 11)",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.31, bodu=42, $$-14 \cdot (6 \cdot 9 + 2\frac{4}{10})=\textcolor{white}{-789{,}6}$$return {
["body"] = 42,
["id"] = "8jBxrQ_0215_1750",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -789.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3948,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3948}{5}",
["typ"] = "cislo" },
["tex"] = "-789\\frac{3}{5}",
["tex_float"] = "-789{,}6",
["x"] = -789,
["y"] = 3,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(6 \\cdot 9 + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (6 \\cdot 9 + 2\\frac{4}{10})",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.32, bodu=26, $$\frac{-7}{6 \cdot (10 + 10)}=\textcolor{white}{-\frac{7}{120}}$$return {
["body"] = 26,
["id"] = "dP9fRh_0215_1750",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.058333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 120 },
["render"] = "\\frac{-7}{120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{120}",
["y"] = -7,
["z"] = 120 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 + 10",
["typ"] = "plus" },
["render"] = "(10 + 10)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (10 + 10)",
["typ"] = "krat" },
["render"] = "\\frac{-7}{6 \\cdot (10 + 10)}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.33, bodu=46, $$\frac{4\frac{1}{7}}{-9 \cdot (10 + (-4))^2 + 11}=\textcolor{white}{-\frac{29}{2191}}$$return {
["body"] = 46,
["id"] = "Y8f7iI_0215_1750",
["obtiznost"] = 0.5448,
["reseni"] = {
["float"] = -0.013235965312643,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 2191 },
["render"] = "\\frac{29}{-2191}",
["typ"] = "cislo" },
["tex"] = "-\\frac{29}{2191}",
["y"] = -29,
["z"] = 2191 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "10 + (-4)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + (-4))^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (10 + (-4))^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (10 + (-4))^2 + 11",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{7}}{-9 \\cdot (10 + (-4))^2 + 11}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.34, bodu=17, $$-4 \cdot (6 - (12 - (8 - (-6))^2))=\textcolor{white}{-760}$$return {
["body"] = 17,
["id"] = "mzf0CY_0215_1750",
["obtiznost"] = 0.4188,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -760,
["jmenovatel"] = 1 },
["render"] = "\\frac{-760}{1}",
["typ"] = "cislo" },
["tex"] = "-760",
["x"] = -760 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-6))^2",
["typ"] = "mocnina" },
["render"] = "12 - (8 - (-6))^2",
["typ"] = "minus" },
["render"] = "(12 - (8 - (-6))^2)",
["typ"] = "zavorka" },
["render"] = "6 - (12 - (8 - (-6))^2)",
["typ"] = "minus" },
["render"] = "(6 - (12 - (8 - (-6))^2))",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (6 - (12 - (8 - (-6))^2))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.35, bodu=30, $$(\frac{8}{3 \cdot 11 - 5})^2=\textcolor{white}{\frac{4}{49}}$$return {
["body"] = 30,
["id"] = "CzxAOK_0215_1750",
["obtiznost"] = 0.3712,
["reseni"] = {
["float"] = 0.081632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 49 },
["render"] = "\\frac{4}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{49}",
["y"] = 4,
["z"] = 49 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.35",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 \\cdot 11 - 5",
["typ"] = "minus" },
["render"] = "\\frac{8}{3 \\cdot 11 - 5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{3 \\cdot 11 - 5})^2",
["typ"] = "mocnina" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.36, bodu=69, $$\frac{\frac{4\frac{5}{10}}{2\frac{4}{7}} - (-8)}{8}=\textcolor{white}{1\frac{7}{32}}$$return {
["body"] = 69,
["id"] = "n64DQZ_0215_1750",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 1.21875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 32 },
["render"] = "\\frac{39}{32}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{32}",
["x"] = 1,
["y"] = 7,
["z"] = 32 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{2\\frac{4}{7}} - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{10}}{2\\frac{4}{7}} - (-8)}{8}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.37, bodu=70, $$\frac{\frac{-7}{3\frac{2}{5} - 2\frac{2}{4}}}{7}=\textcolor{white}{-1\frac{1}{9}}$$return {
["body"] = 70,
["id"] = "qq8N3D_0215_1750",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -1.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 9 },
["render"] = "\\frac{-70}{63}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{9}",
["x"] = -1,
["y"] = 1,
["z"] = 9 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 2\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "\\frac{-7}{3\\frac{2}{5} - 2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{3\\frac{2}{5} - 2\\frac{2}{4}}}{7}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.38, bodu=71, $$(-11 - (3\frac{2}{8} + 7)) \cdot 4\frac{2}{4} \cdot 9=\textcolor{white}{-860{,}625}$$return {
["body"] = 71,
["id"] = "NtvoPt_0215_1750",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -860.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6885,
["jmenovatel"] = 8 },
["render"] = "\\frac{-6885}{8}",
["typ"] = "cislo" },
["tex"] = "-860\\frac{5}{8}",
["tex_float"] = "-860{,}625",
["x"] = -860,
["y"] = 5,
["z"] = 8 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + 7",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{8} + 7)",
["typ"] = "zavorka" },
["render"] = "-11 - (3\\frac{2}{8} + 7)",
["typ"] = "minus" },
["render"] = "(-11 - (3\\frac{2}{8} + 7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(-11 - (3\\frac{2}{8} + 7)) \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-11 - (3\\frac{2}{8} + 7)) \\cdot 4\\frac{2}{4} \\cdot 9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.39, bodu=73, $$(10 + 11) \cdot 3\frac{2}{7} - (4\frac{4}{10} + 7)=\textcolor{white}{57{,}6}$$return {
["body"] = 73,
["id"] = "SzTL3O_0215_1750",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 57.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 288,
["jmenovatel"] = 5 },
["render"] = "\\frac{288}{5}",
["typ"] = "cislo" },
["tex"] = "57\\frac{3}{5}",
["tex_float"] = "57{,}6",
["x"] = 57,
["y"] = 3,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "(10 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(10 + 11) \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 7",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{10} + 7)",
["typ"] = "zavorka" },
["render"] = "(10 + 11) \\cdot 3\\frac{2}{7} - (4\\frac{4}{10} + 7)",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.4, bodu=74, $$-10 \cdot (15 - 3\frac{4}{9}) - \frac{15}{4\frac{4}{8}}=\textcolor{white}{-118\frac{8}{9}}$$return {
["body"] = 74,
["id"] = "Tyoccf_0215_1750",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -118.88888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1070,
["jmenovatel"] = 9 },
["render"] = "\\frac{-3210}{27}",
["typ"] = "cislo" },
["tex"] = "-118\\frac{8}{9}",
["x"] = -118,
["y"] = 8,
["z"] = 9 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "15 - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(15 - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (15 - 3\\frac{4}{9})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot (15 - 3\\frac{4}{9}) - \\frac{15}{4\\frac{4}{8}}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.41, bodu=101, $$(-9 + 2\frac{2}{8}) \cdot ((14 + 2\frac{1}{7}) \cdot 15 - 3\frac{4}{10})=\textcolor{white}{-1611\frac{18}{35}}$$return {
["body"] = 101,
["id"] = "ApkQpL_0215_1750",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -1611.5142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -56403,
["jmenovatel"] = 35 },
["render"] = "\\frac{-225612}{140}",
["typ"] = "cislo" },
["tex"] = "-1611\\frac{18}{35}",
["x"] = -1611,
["y"] = 18,
["z"] = 35 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(-9 + 2\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(14 + 2\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(14 + 2\\frac{1}{7}) \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(14 + 2\\frac{1}{7}) \\cdot 15 - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "((14 + 2\\frac{1}{7}) \\cdot 15 - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "(-9 + 2\\frac{2}{8}) \\cdot ((14 + 2\\frac{1}{7}) \\cdot 15 - 3\\frac{4}{10})",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.42, bodu=76, $$(3 - 9 + \frac{9}{1\frac{2}{8}} + 3\frac{4}{9}) \cdot 9=\textcolor{white}{41{,}8}$$return {
["body"] = 76,
["id"] = "pzIEXY_0215_1750",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 41.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 209,
["jmenovatel"] = 5 },
["render"] = "\\frac{1881}{45}",
["typ"] = "cislo" },
["tex"] = "41\\frac{4}{5}",
["tex_float"] = "41{,}8",
["x"] = 41,
["y"] = 4,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "3 - 9 + \\frac{9}{1\\frac{2}{8}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3 - 9 + \\frac{9}{1\\frac{2}{8}} + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(3 - 9 + \\frac{9}{1\\frac{2}{8}} + 3\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(3 - 9 + \\frac{9}{1\\frac{2}{8}} + 3\\frac{4}{9}) \\cdot 9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.43, bodu=37, $$(8 - (-11 - (\frac{-10}{12})^2)) \cdot -9=\textcolor{white}{-177{,}25}$$return {
["body"] = 37,
["id"] = "ocwQ7h_0215_1750",
["obtiznost"] = 0.4544,
["reseni"] = {
["float"] = -177.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -709,
["jmenovatel"] = 4 },
["render"] = "\\frac{-6381}{36}",
["typ"] = "cislo" },
["tex"] = "-177\\frac{1}{4}",
["tex_float"] = "-177{,}25",
["x"] = -177,
["y"] = 1,
["z"] = 4 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{12})^2",
["typ"] = "mocnina" },
["render"] = "-11 - (\\frac{-10}{12})^2",
["typ"] = "minus" },
["render"] = "(-11 - (\\frac{-10}{12})^2)",
["typ"] = "zavorka" },
["render"] = "8 - (-11 - (\\frac{-10}{12})^2)",
["typ"] = "minus" },
["render"] = "(8 - (-11 - (\\frac{-10}{12})^2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(8 - (-11 - (\\frac{-10}{12})^2)) \\cdot -9",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.44, bodu=36, $$\frac{(-4 + (-3 + 7))^2 - (-10)}{\frac{16}{9}}=\textcolor{white}{5{,}625}$$return {
["body"] = 36,
["id"] = "VHUhkB_0215_1750",
["obtiznost"] = 0.4404,
["reseni"] = {
["float"] = 5.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 8 },
["render"] = "\\frac{90}{16}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{8}",
["tex_float"] = "5{,}625",
["x"] = 5,
["y"] = 5,
["z"] = 8 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-3 + 7",
["typ"] = "plus" },
["render"] = "-4 + (-3 + 7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 + (-3 + 7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-4 + (-3 + 7))^2 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{16}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-4 + (-3 + 7))^2 - (-10)}{\\frac{16}{9}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.45, bodu=62, $$\frac{(-7 + 4 - (-8))^4}{12 \cdot -8}=\textcolor{white}{-6\frac{49}{96}}$$return {
["body"] = 62,
["id"] = "AaAXV7_0215_1750",
["obtiznost"] = 0.7004,
["reseni"] = {
["float"] = -6.5104166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -625,
["jmenovatel"] = 96 },
["render"] = "\\frac{625}{-96}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{49}{96}",
["x"] = -6,
["y"] = 49,
["z"] = 96 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.45",
["zadani"] = {
["c1"] = {
["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"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 - (-8)",
["typ"] = "minus" },
["render"] = "-7 + 4 - (-8)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 4 - (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "12 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{(-7 + 4 - (-8))^4}{12 \\cdot -8}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.46, bodu=45, $$(\frac{-8}{-10})^3 \cdot 12 \cdot 4=\textcolor{white}{24{,}576}$$return {
["body"] = 45,
["id"] = "nP1EHA_0215_1750",
["obtiznost"] = 0.5356,
["reseni"] = {
["float"] = 24.576,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3072,
["jmenovatel"] = 125 },
["render"] = "\\frac{3072}{125}",
["typ"] = "cislo" },
["tex"] = "24\\frac{72}{125}",
["tex_float"] = "24{,}576",
["x"] = 24,
["y"] = 72,
["z"] = 125 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.46",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{-10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4",
["typ"] = "krat" },
["render"] = "(\\frac{-8}{-10})^3 \\cdot 12 \\cdot 4",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.47, bodu=83, $$\frac{10 - (-12) + 2\frac{3}{6} - (5 + 1\frac{3}{8})}{6}=\textcolor{white}{3\frac{1}{48}}$$return {
["body"] = 83,
["id"] = "DUCRH3_0215_1750",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 3.0208333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 145,
["jmenovatel"] = 48 },
["render"] = "\\frac{145}{48}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{48}",
["x"] = 3,
["y"] = 1,
["z"] = 48 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "5 + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(5 + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} - (5 + 1\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "10 - (-12) + 2\\frac{3}{6} - (5 + 1\\frac{3}{8})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10 - (-12) + 2\\frac{3}{6} - (5 + 1\\frac{3}{8})}{6}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.48, bodu=46, $$10 \cdot \frac{10}{((6 + (-6))^4 + (-13))^2}=\textcolor{white}{\frac{100}{169}}$$return {
["body"] = 46,
["id"] = "5V4VYz_0215_1750",
["obtiznost"] = 0.5484,
["reseni"] = {
["float"] = 0.59171597633136,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 169 },
["render"] = "\\frac{100}{169}",
["typ"] = "cislo" },
["tex"] = "\\frac{100}{169}",
["y"] = 100,
["z"] = 169 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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"] = "plus" },
["mocnitel"] = 4,
["render"] = "(6 + (-6))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(6 + (-6))^4 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "((6 + (-6))^4 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{((6 + (-6))^4 + (-13))^2}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{10}{((6 + (-6))^4 + (-13))^2}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.49, bodu=86, $$1\frac{1}{3} - \frac{(3 - 4\frac{4}{8})^2 - 8}{9}=\textcolor{white}{1\frac{35}{36}}$$return {
["body"] = 86,
["id"] = "yN3gQc_0215_1750",
["obtiznost"] = 0.8952,
["reseni"] = {
["float"] = 1.9722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 71,
["jmenovatel"] = 36 },
["render"] = "\\frac{213}{108}",
["typ"] = "cislo" },
["tex"] = "1\\frac{35}{36}",
["x"] = 1,
["y"] = 35,
["z"] = 36 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3 - 4\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 - 4\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(3 - 4\\frac{4}{8})^2 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(3 - 4\\frac{4}{8})^2 - 8}{9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{3} - \\frac{(3 - 4\\frac{4}{8})^2 - 8}{9}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.5, bodu=86, $$1\frac{4}{8} \cdot \frac{16}{\frac{11}{-6} + 1\frac{4}{10}}=\textcolor{white}{-55\frac{5}{13}}$$return {
["body"] = 86,
["id"] = "De3kF6_0215_1750",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -55.384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -720,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1440}{26}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{5}{13}",
["x"] = -55,
["y"] = 5,
["z"] = 13 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-6} + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{16}{\\frac{11}{-6} + 1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{8} \\cdot \\frac{16}{\\frac{11}{-6} + 1\\frac{4}{10}}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.51, bodu=98, $$-16 - 14 + (7 - 2\frac{3}{5} + 5 + (-10))^4=\textcolor{white}{-29\frac{544}{625}}$$return {
["body"] = 98,
["id"] = "Wi7DHM_0215_1750",
["obtiznost"] = 0.9924,
["reseni"] = {
["float"] = -29.8704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18669,
["jmenovatel"] = 625 },
["render"] = "\\frac{-18669}{625}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{544}{625}",
["x"] = -29,
["y"] = 544,
["z"] = 625 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-16 - 14",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{3}{5} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{3}{5} + 5 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(7 - 2\\frac{3}{5} + 5 + (-10))^4",
["typ"] = "mocnina" },
["render"] = "-16 - 14 + (7 - 2\\frac{3}{5} + 5 + (-10))^4",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.52, bodu=89, $$4\frac{5}{12} \cdot (-8 - \frac{3}{5} + 2\frac{4}{7})=\textcolor{white}{-26\frac{263}{420}}$$return {
["body"] = 89,
["id"] = "OQwSUM_0215_1750",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -26.62619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11183,
["jmenovatel"] = 420 },
["render"] = "\\frac{-11183}{420}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{263}{420}",
["x"] = -26,
["y"] = 263,
["z"] = 420 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3}{5}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-8 - \\frac{3}{5} + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(-8 - \\frac{3}{5} + 2\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} \\cdot (-8 - \\frac{3}{5} + 2\\frac{4}{7})",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.53, bodu=44, $$(\frac{11}{-14} + 10 - (-10) + 11) \cdot -7=\textcolor{white}{-211{,}5}$$return {
["body"] = 44,
["id"] = "SVpYKK_0215_1750",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -211.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -423,
["jmenovatel"] = 2 },
["render"] = "\\frac{-2961}{14}",
["typ"] = "cislo" },
["tex"] = "-211\\frac{1}{2}",
["tex_float"] = "-211{,}5",
["x"] = -211,
["y"] = 1,
["z"] = 2 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 - (-10) + 11",
["typ"] = "plus" },
["render"] = "\\frac{11}{-14} + 10 - (-10) + 11",
["typ"] = "plus" },
["render"] = "(\\frac{11}{-14} + 10 - (-10) + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{-14} + 10 - (-10) + 11) \\cdot -7",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.54, bodu=74, $$10 \cdot 3\frac{1}{7} \cdot (\frac{10}{-7})^2=\textcolor{white}{64\frac{48}{343}}$$return {
["body"] = 74,
["id"] = "VxcMZM_0215_1750",
["obtiznost"] = 0.7996,
["reseni"] = {
["float"] = 64.139941690962,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22000,
["jmenovatel"] = 343 },
["render"] = "\\frac{22000}{343}",
["typ"] = "cislo" },
["tex"] = "64\\frac{48}{343}",
["x"] = 64,
["y"] = 48,
["z"] = 343 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-7})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{7} \\cdot (\\frac{10}{-7})^2",
["typ"] = "krat" },
["render"] = "10 \\cdot 3\\frac{1}{7} \\cdot (\\frac{10}{-7})^2",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.55, bodu=23, $$4 \cdot (4 - 11 + (-9 \cdot -13))=\textcolor{white}{440}$$return {
["body"] = 23,
["id"] = "seCtOn_0215_1750",
["obtiznost"] = 0.55,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 440,
["jmenovatel"] = 1 },
["render"] = "\\frac{440}{1}",
["typ"] = "cislo" },
["tex"] = "440",
["tex_float"] = "440",
["x"] = 440 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -13",
["typ"] = "krat" },
["render"] = "4 - 11 + (-9 \\cdot -13)",
["typ"] = "plus" },
["render"] = "(4 - 11 + (-9 \\cdot -13))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (4 - 11 + (-9 \\cdot -13))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.56, bodu=114, $$(14 - (-5))^2 + 4 - 2\frac{2}{8} - 3\frac{3}{8} + 3=\textcolor{white}{362{,}375}$$return {
["body"] = 114,
["id"] = "dUPkzW_0215_1750",
["obtiznost"] = 1.1048,
["reseni"] = {
["float"] = 362.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2899,
["jmenovatel"] = 8 },
["render"] = "\\frac{2899}{8}",
["typ"] = "cislo" },
["tex"] = "362\\frac{3}{8}",
["tex_float"] = "362{,}375",
["x"] = 362,
["y"] = 3,
["z"] = 8 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "14 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (-5))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4 - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(14 - (-5))^2 + 4 - 2\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(14 - (-5))^2 + 4 - 2\\frac{2}{8} - 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(14 - (-5))^2 + 4 - 2\\frac{2}{8} - 3\\frac{3}{8} + 3",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.57, bodu=48, $$\frac{-8}{-13 - \frac{8}{7 + (-16)}}=\textcolor{white}{\frac{72}{109}}$$return {
["body"] = 48,
["id"] = "n2q0SU_0215_1750",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.6605504587156,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 109 },
["render"] = "\\frac{-72}{-109}",
["typ"] = "cislo" },
["tex"] = "\\frac{72}{109}",
["y"] = 72,
["z"] = 109 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "7 + (-16)",
["typ"] = "plus" },
["render"] = "\\frac{8}{7 + (-16)}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{8}{7 + (-16)}",
["typ"] = "minus" },
["render"] = "\\frac{-8}{-13 - \\frac{8}{7 + (-16)}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.58, bodu=97, $$\frac{\frac{\frac{13}{13}}{4\frac{5}{10} + 13}}{4\frac{5}{11}}=\textcolor{white}{\frac{22}{1715}}$$return {
["body"] = 97,
["id"] = "pnsTz4_0215_1750",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 0.012827988338192,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1715 },
["render"] = "\\frac{22}{1715}",
["typ"] = "cislo" },
["tex"] = "\\frac{22}{1715}",
["y"] = 22,
["z"] = 1715 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 13",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{13}{13}}{4\\frac{5}{10} + 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{13}{13}}{4\\frac{5}{10} + 13}}{4\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.59, bodu=126, $$\frac{4\frac{1}{5} - (-4)}{3\frac{4}{8} + (-14)} + 3\frac{5}{10} - 14=\textcolor{white}{-11\frac{59}{210}}$$return {
["body"] = 126,
["id"] = "lsGxeB_0215_1750",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -11.280952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2369,
["jmenovatel"] = 210 },
["render"] = "\\frac{-2369}{210}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{59}{210}",
["x"] = -11,
["y"] = 59,
["z"] = 210 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - (-4)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{5} - (-4)}{3\\frac{4}{8} + (-14)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5} - (-4)}{3\\frac{4}{8} + (-14)} + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5} - (-4)}{3\\frac{4}{8} + (-14)} + 3\\frac{5}{10} - 14",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.6, bodu=100, $$-19 + 3\frac{5}{7} - 17 + 3\frac{1}{3} + 9 + (-9 \cdot -20)=\textcolor{white}{160\frac{1}{21}}$$return {
["body"] = 100,
["id"] = "rSwhRd_0215_1750",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 160.04761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3361,
["jmenovatel"] = 21 },
["render"] = "\\frac{3361}{21}",
["typ"] = "cislo" },
["tex"] = "160\\frac{1}{21}",
["x"] = 160,
["y"] = 1,
["z"] = 21 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -20",
["typ"] = "krat" },
["render"] = "3\\frac{1}{3} + 9 + (-9 \\cdot -20)",
["typ"] = "plus" },
["render"] = "3\\frac{5}{7} - 17 + 3\\frac{1}{3} + 9 + (-9 \\cdot -20)",
["typ"] = "plus" },
["render"] = "-19 + 3\\frac{5}{7} - 17 + 3\\frac{1}{3} + 9 + (-9 \\cdot -20)",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.61, bodu=129, $$\frac{(4\frac{3}{10} - (1\frac{1}{7} + 1\frac{5}{12})) \cdot (-13 + (-8))}{-14}=\textcolor{white}{2\frac{171}{280}}$$return {
["body"] = 129,
["id"] = "SLmwu5_0215_1750",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 2.6107142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 731,
["jmenovatel"] = 280 },
["render"] = "\\frac{-731}{-280}",
["typ"] = "cislo" },
["tex"] = "2\\frac{171}{280}",
["x"] = 2,
["y"] = 171,
["z"] = 280 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 1\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{7} + 1\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{10} - (1\\frac{1}{7} + 1\\frac{5}{12})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{10} - (1\\frac{1}{7} + 1\\frac{5}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 + (-8)",
["typ"] = "plus" },
["render"] = "(-13 + (-8))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{10} - (1\\frac{1}{7} + 1\\frac{5}{12})) \\cdot (-13 + (-8))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{3}{10} - (1\\frac{1}{7} + 1\\frac{5}{12})) \\cdot (-13 + (-8))}{-14}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.62, bodu=76, $$8 \cdot 11 - \frac{-18}{3 - 3\frac{5}{13} + 3}=\textcolor{white}{94\frac{15}{17}}$$return {
["body"] = 76,
["id"] = "F7MBd2_0215_1750",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 94.882352941176,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1613,
["jmenovatel"] = 17 },
["render"] = "\\frac{1613}{17}",
["typ"] = "cislo" },
["tex"] = "94\\frac{15}{17}",
["x"] = 94,
["y"] = 15,
["z"] = 17 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3 - 3\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "3 - 3\\frac{5}{13} + 3",
["typ"] = "plus" },
["render"] = "\\frac{-18}{3 - 3\\frac{5}{13} + 3}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot 11 - \\frac{-18}{3 - 3\\frac{5}{13} + 3}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.63, bodu=132, $$\frac{3\frac{4}{12} - 1\frac{2}{4}}{\frac{-17}{3\frac{1}{3}} + \frac{8}{9}}=\textcolor{white}{-\frac{165}{379}}$$return {
["body"] = 132,
["id"] = "PLhBBL_0215_1750",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -0.4353562005277,
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 379 },
["render"] = "\\frac{990}{-2274}",
["typ"] = "cislo" },
["tex"] = "-\\frac{165}{379}",
["y"] = -165,
["z"] = 379 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} - 1\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-17}{3\\frac{1}{3}} + \\frac{8}{9}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{12} - 1\\frac{2}{4}}{\\frac{-17}{3\\frac{1}{3}} + \\frac{8}{9}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.64, bodu=105, $$13 - (4\frac{4}{7} - 12) - (1\frac{4}{8} - (-4) - 16)=\textcolor{white}{30\frac{13}{14}}$$return {
["body"] = 105,
["id"] = "CCdkq5_0215_1750",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 30.928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 433,
["jmenovatel"] = 14 },
["render"] = "\\frac{433}{14}",
["typ"] = "cislo" },
["tex"] = "30\\frac{13}{14}",
["x"] = 30,
["y"] = 13,
["z"] = 14 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} - 12",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} - 12)",
["typ"] = "zavorka" },
["render"] = "13 - (4\\frac{4}{7} - 12)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - (-4) - 16",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{8} - (-4) - 16)",
["typ"] = "zavorka" },
["render"] = "13 - (4\\frac{4}{7} - 12) - (1\\frac{4}{8} - (-4) - 16)",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.65, bodu=106, $$(-7 + 6)^4 \cdot 8 \cdot 1\frac{3}{8} \cdot 4\frac{4}{9}=\textcolor{white}{48\frac{8}{9}}$$return {
["body"] = 106,
["id"] = "FGgC8J_0215_1750",
["obtiznost"] = 1.0508,
["reseni"] = {
["float"] = 48.888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 440,
["jmenovatel"] = 9 },
["render"] = "\\frac{440}{9}",
["typ"] = "cislo" },
["tex"] = "48\\frac{8}{9}",
["x"] = 48,
["y"] = 8,
["z"] = 9 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-7 + 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "8 \\cdot 1\\frac{3}{8} \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "(-7 + 6)^4 \\cdot 8 \\cdot 1\\frac{3}{8} \\cdot 4\\frac{4}{9}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.66, bodu=58, $$20 + 4 - \frac{(-13 + 14)^3}{17} \cdot 15=\textcolor{white}{23\frac{2}{17}}$$return {
["body"] = 58,
["id"] = "QEgx7a_0215_1750",
["obtiznost"] = 0.6608,
["reseni"] = {
["float"] = 23.117647058824,
["objekt"] = {
["hodnota"] = {
["citatel"] = 393,
["jmenovatel"] = 17 },
["render"] = "\\frac{393}{17}",
["typ"] = "cislo" },
["tex"] = "23\\frac{2}{17}",
["x"] = 23,
["y"] = 2,
["z"] = 17 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "20 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-13 + 14",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 14)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 14)^3}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 14)^3}{17} \\cdot 15",
["typ"] = "krat" },
["render"] = "20 + 4 - \\frac{(-13 + 14)^3}{17} \\cdot 15",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.67, bodu=109, $$17 + \frac{\frac{1\frac{2}{10}}{3\frac{2}{7}}}{-14 \cdot -13}=\textcolor{white}{17\frac{3}{1495}}$$return {
["body"] = 109,
["id"] = "8vBSHr_0215_1750",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 17.002006688963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25418,
["jmenovatel"] = 1495 },
["render"] = "\\frac{25418}{1495}",
["typ"] = "cislo" },
["tex"] = "17\\frac{3}{1495}",
["x"] = 17,
["y"] = 3,
["z"] = 1495 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{10}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{2}{10}}{3\\frac{2}{7}}}{-14 \\cdot -13}",
["typ"] = "lomeno" },
["render"] = "17 + \\frac{\\frac{1\\frac{2}{10}}{3\\frac{2}{7}}}{-14 \\cdot -13}",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.68, bodu=111, $$2 \cdot 14 - \frac{18 \cdot 3\frac{5}{10}}{4\frac{1}{8}}=\textcolor{white}{12\frac{8}{11}}$$return {
["body"] = 111,
["id"] = "4h1ng3_0215_1750",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 12.727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 11 },
["render"] = "\\frac{140}{11}",
["typ"] = "cislo" },
["tex"] = "12\\frac{8}{11}",
["x"] = 12,
["y"] = 8,
["z"] = 11 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{18 \\cdot 3\\frac{5}{10}}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "2 \\cdot 14 - \\frac{18 \\cdot 3\\frac{5}{10}}{4\\frac{1}{8}}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.69, bodu=111, $$12 \cdot \frac{-12 - (-6)}{\frac{3\frac{4}{9}}{(11 + 11)^2}}=\textcolor{white}{-10117\frac{5}{31}}$$return {
["body"] = 111,
["id"] = "SKxlQi_0215_1750",
["obtiznost"] = 1.084,
["reseni"] = {
["float"] = -10117.161290323,
["objekt"] = {
["hodnota"] = {
["citatel"] = -313632,
["jmenovatel"] = 31 },
["render"] = "\\frac{-313632}{31}",
["typ"] = "cislo" },
["tex"] = "-10117\\frac{5}{31}",
["x"] = -10117,
["y"] = 5,
["z"] = 31 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{4}{9}}{(11 + 11)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 - (-6)}{\\frac{3\\frac{4}{9}}{(11 + 11)^2}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{-12 - (-6)}{\\frac{3\\frac{4}{9}}{(11 + 11)^2}}",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.7, bodu=108, $$(3\frac{3}{11} + 10 + 10) \cdot (-15 - (-17 - 18))^2=\textcolor{white}{9309\frac{1}{11}}$$return {
["body"] = 108,
["id"] = "Z73daR_0215_1750",
["obtiznost"] = 1.0604,
["reseni"] = {
["float"] = 9309.0909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 102400,
["jmenovatel"] = 11 },
["render"] = "\\frac{102400}{11}",
["typ"] = "cislo" },
["tex"] = "9309\\frac{1}{11}",
["x"] = 9309,
["y"] = 1,
["z"] = 11 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} + 10 + 10",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{11} + 10 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-17 - 18",
["typ"] = "minus" },
["render"] = "(-17 - 18)",
["typ"] = "zavorka" },
["render"] = "-15 - (-17 - 18)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-17 - 18))^2",
["typ"] = "mocnina" },
["render"] = "(3\\frac{3}{11} + 10 + 10) \\cdot (-15 - (-17 - 18))^2",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.71, bodu=115, $$(4\frac{1}{8} - 3\frac{4}{9}) \cdot (12 - 13 - (-9 - 5))=\textcolor{white}{8\frac{61}{72}}$$return {
["body"] = 115,
["id"] = "bGAJ4c_0215_1750",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 8.8472222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 637,
["jmenovatel"] = 72 },
["render"] = "\\frac{637}{72}",
["typ"] = "cislo" },
["tex"] = "8\\frac{61}{72}",
["x"] = 8,
["y"] = 61,
["z"] = 72 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{8} - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 - 13",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-9 - 5)",
["typ"] = "zavorka" },
["render"] = "12 - 13 - (-9 - 5)",
["typ"] = "minus" },
["render"] = "(12 - 13 - (-9 - 5))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{1}{8} - 3\\frac{4}{9}) \\cdot (12 - 13 - (-9 - 5))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.72, bodu=189, $$-11 + 9 - (-10) + \frac{3\frac{5}{9}}{(1\frac{1}{6} \cdot 3\frac{4}{7})^2}=\textcolor{white}{8\frac{128}{625}}$$return {
["body"] = 189,
["id"] = "Pg33aZ_0215_1750",
["obtiznost"] = 1.5844,
["reseni"] = {
["float"] = 8.2048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5128,
["jmenovatel"] = 625 },
["render"] = "\\frac{5128}{625}",
["typ"] = "cislo" },
["tex"] = "8\\frac{128}{625}",
["x"] = 8,
["y"] = 128,
["z"] = 625 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 + 9 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{6} \\cdot 3\\frac{4}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{9}}{(1\\frac{1}{6} \\cdot 3\\frac{4}{7})^2}",
["typ"] = "lomeno" },
["render"] = "-11 + 9 - (-10) + \\frac{3\\frac{5}{9}}{(1\\frac{1}{6} \\cdot 3\\frac{4}{7})^2}",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.73, bodu=122, $$\frac{(\frac{2\frac{3}{9}}{15 + 6 \cdot 3\frac{3}{6} + (-15)})^2}{-11}=\textcolor{white}{-\frac{1}{891}}$$return {
["body"] = 122,
["id"] = "TWphDY_0215_1750",
["obtiznost"] = 1.1628,
["reseni"] = {
["float"] = -0.0011223344556678,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 891 },
["render"] = "\\frac{1}{-891}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{891}",
["y"] = -1,
["z"] = 891 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "15 + 6 \\cdot 3\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "15 + 6 \\cdot 3\\frac{3}{6} + (-15)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{9}}{15 + 6 \\cdot 3\\frac{3}{6} + (-15)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{3}{9}}{15 + 6 \\cdot 3\\frac{3}{6} + (-15)})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{2\\frac{3}{9}}{15 + 6 \\cdot 3\\frac{3}{6} + (-15)})^2}{-11}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.74, bodu=149, $$3\frac{3}{4} - 11 - (-15) - (1\frac{3}{11} - (-11 - 4\frac{5}{13}))=\textcolor{white}{-8\frac{519}{572}}$$return {
["body"] = 149,
["id"] = "18WlhS_0215_1750",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -8.9073426573427,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5095,
["jmenovatel"] = 572 },
["render"] = "\\frac{-5095}{572}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{519}{572}",
["x"] = -8,
["y"] = 519,
["z"] = 572 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} - 11 - (-15)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-11 - 4\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(-11 - 4\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{11} - (-11 - 4\\frac{5}{13})",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{11} - (-11 - 4\\frac{5}{13}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{4} - 11 - (-15) - (1\\frac{3}{11} - (-11 - 4\\frac{5}{13}))",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.75, bodu=218, $$\frac{3\frac{4}{8}}{3\frac{3}{5}} - (2\frac{1}{5} \cdot 1\frac{4}{9} - 1\frac{4}{8})=\textcolor{white}{-\frac{127}{180}}$$return {
["body"] = 218,
["id"] = "V1pNLY_0215_1750",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -0.70555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127,
["jmenovatel"] = 180 },
["render"] = "\\frac{-2286}{3240}",
["typ"] = "cislo" },
["tex"] = "-\\frac{127}{180}",
["y"] = -127,
["z"] = 180 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 1\\frac{4}{9} - 1\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} \\cdot 1\\frac{4}{9} - 1\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{4}{8}}{3\\frac{3}{5}} - (2\\frac{1}{5} \\cdot 1\\frac{4}{9} - 1\\frac{4}{8})",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.76, bodu=94, $$\frac{9 - 15}{2\frac{2}{6} \cdot 15} \cdot (19 + (-11))=\textcolor{white}{-1\frac{13}{35}}$$return {
["body"] = 94,
["id"] = "fUTGY5_0215_1750",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -1.3714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 35 },
["render"] = "\\frac{-48}{35}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{35}",
["x"] = -1,
["y"] = 13,
["z"] = 35 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 - 15",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{9 - 15}{2\\frac{2}{6} \\cdot 15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "19 + (-11)",
["typ"] = "plus" },
["render"] = "(19 + (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{9 - 15}{2\\frac{2}{6} \\cdot 15} \\cdot (19 + (-11))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.77, bodu=187, $$\frac{3\frac{3}{11} - (-5 \cdot 1\frac{5}{9} - (1\frac{4}{9} - 17))}{1\frac{3}{10}}=\textcolor{white}{-3\frac{599}{1287}}$$return {
["body"] = 187,
["id"] = "AcLzFq_0215_1750",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -3.4654234654235,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4460,
["jmenovatel"] = 1287 },
["render"] = "\\frac{-4460}{1287}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{599}{1287}",
["x"] = -3,
["y"] = 599,
["z"] = 1287 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 17",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - 17)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot 1\\frac{5}{9} - (1\\frac{4}{9} - 17)",
["typ"] = "minus" },
["render"] = "(-5 \\cdot 1\\frac{5}{9} - (1\\frac{4}{9} - 17))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{11} - (-5 \\cdot 1\\frac{5}{9} - (1\\frac{4}{9} - 17))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{11} - (-5 \\cdot 1\\frac{5}{9} - (1\\frac{4}{9} - 17))}{1\\frac{3}{10}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.78, bodu=125, $$(4\frac{1}{5} \cdot -11 \cdot 4\frac{3}{6} - 17) \cdot 16=\textcolor{white}{-3598{,}4}$$return {
["body"] = 125,
["id"] = "PXGsHG_0215_1750",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -3598.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17992,
["jmenovatel"] = 5 },
["render"] = "\\frac{-35984}{10}",
["typ"] = "cislo" },
["tex"] = "-3598\\frac{2}{5}",
["tex_float"] = "-3598{,}4",
["x"] = -3598,
["y"] = 2,
["z"] = 5 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -11 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -11 \\cdot 4\\frac{3}{6} - 17",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{5} \\cdot -11 \\cdot 4\\frac{3}{6} - 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{5} \\cdot -11 \\cdot 4\\frac{3}{6} - 17) \\cdot 16",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.79, bodu=98, $$\frac{-13}{16 \cdot 10 \cdot -13 \cdot 2\frac{3}{5}}=\textcolor{white}{\frac{1}{416}}$$return {
["body"] = 98,
["id"] = "y987gr_0215_1750",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 0.0024038461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 416 },
["render"] = "\\frac{-13}{-5408}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{416}",
["y"] = 1,
["z"] = 416 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "16 \\cdot 10 \\cdot -13 \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "\\frac{-13}{16 \\cdot 10 \\cdot -13 \\cdot 2\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.8, bodu=192, $$\frac{(3\frac{2}{12} + 3\frac{2}{9}) \cdot \frac{3\frac{2}{6}}{3\frac{3}{9} + (-12)}}{19}=\textcolor{white}{-\frac{575}{4446}}$$return {
["body"] = 192,
["id"] = "eHm3T4_0215_1750",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -0.12932973459289,
["objekt"] = {
["hodnota"] = {
["citatel"] = -575,
["jmenovatel"] = 4446 },
["render"] = "\\frac{-575}{4446}",
["typ"] = "cislo" },
["tex"] = "-\\frac{575}{4446}",
["y"] = -575,
["z"] = 4446 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{12} + 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{12} + 3\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{6}}{3\\frac{3}{9} + (-12)}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{2}{12} + 3\\frac{2}{9}) \\cdot \\frac{3\\frac{2}{6}}{3\\frac{3}{9} + (-12)}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{2}{12} + 3\\frac{2}{9}) \\cdot \\frac{3\\frac{2}{6}}{3\\frac{3}{9} + (-12)}}{19}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.81, bodu=229, $$\frac{\frac{4\frac{4}{10}}{10} + 3\frac{1}{5} + 3\frac{2}{5} - 4\frac{2}{4} + 3\frac{4}{11}}{13}=\textcolor{white}{\frac{3247}{7150}}$$return {
["body"] = 229,
["id"] = "JkMm3q_0215_1750",
["obtiznost"] = 1.81,
["reseni"] = {
["float"] = 0.45412587412587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3247,
["jmenovatel"] = 7150 },
["render"] = "\\frac{3247}{7150}",
["typ"] = "cislo" },
["tex"] = "\\frac{3247}{7150}",
["y"] = 3247,
["z"] = 7150 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{5} + 3\\frac{2}{5} - 4\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} + 3\\frac{2}{5} - 4\\frac{2}{4} + 3\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{10}}{10} + 3\\frac{1}{5} + 3\\frac{2}{5} - 4\\frac{2}{4} + 3\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{10}}{10} + 3\\frac{1}{5} + 3\\frac{2}{5} - 4\\frac{2}{4} + 3\\frac{4}{11}}{13}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.82, bodu=162, $$\frac{16 + 4\frac{4}{12} + 15 - (-18)}{2\frac{4}{10} \cdot (12 - 2\frac{5}{15})}=\textcolor{white}{2\frac{26}{87}}$$return {
["body"] = 162,
["id"] = "3Xmn8O_0215_1750",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 2.2988505747126,
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 87 },
["render"] = "\\frac{800}{348}",
["typ"] = "cislo" },
["tex"] = "2\\frac{26}{87}",
["x"] = 2,
["y"] = 26,
["z"] = 87 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 15",
["typ"] = "plus" },
["render"] = "16 + 4\\frac{4}{12} + 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "16 + 4\\frac{4}{12} + 15 - (-18)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{5}{15}",
["typ"] = "minus" },
["render"] = "(12 - 2\\frac{5}{15})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{10} \\cdot (12 - 2\\frac{5}{15})",
["typ"] = "krat" },
["render"] = "\\frac{16 + 4\\frac{4}{12} + 15 - (-18)}{2\\frac{4}{10} \\cdot (12 - 2\\frac{5}{15})}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.83, bodu=91, $$\frac{13 - 12 + \frac{17}{12}}{(-15 + 11)^4 + 7 + 9}=\textcolor{white}{\frac{29}{3264}}$$return {
["body"] = 91,
["id"] = "yQAA3h_0215_1750",
["obtiznost"] = 0.9328,
["reseni"] = {
["float"] = 0.0088848039215686,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 3264 },
["render"] = "\\frac{29}{3264}",
["typ"] = "cislo" },
["tex"] = "\\frac{29}{3264}",
["y"] = 29,
["z"] = 3264 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{17}{12}",
["typ"] = "lomeno" },
["render"] = "13 - 12 + \\frac{17}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 + 11",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-15 + 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-15 + 11)^4 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-15 + 11)^4 + 7 + 9",
["typ"] = "plus" },
["render"] = "\\frac{13 - 12 + \\frac{17}{12}}{(-15 + 11)^4 + 7 + 9}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.84, bodu=134, $$(7 + 1\frac{4}{6} - (-5) - 9 \cdot 2\frac{2}{6}) \cdot 10=\textcolor{white}{-73\frac{1}{3}}$$return {
["body"] = 134,
["id"] = "HWZpNe_0215_1750",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -73.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -220,
["jmenovatel"] = 3 },
["render"] = "\\frac{-220}{3}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{1}{3}",
["x"] = -73,
["y"] = 1,
["z"] = 3 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{4}{6} - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "7 + 1\\frac{4}{6} - (-5) - 9 \\cdot 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(7 + 1\\frac{4}{6} - (-5) - 9 \\cdot 2\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(7 + 1\\frac{4}{6} - (-5) - 9 \\cdot 2\\frac{2}{6}) \\cdot 10",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.85, bodu=135, $$\frac{(-10 - \frac{-13}{3}) \cdot -19 - 4\frac{5}{13}}{3\frac{5}{8}}=\textcolor{white}{28\frac{556}{1131}}$$return {
["body"] = 135,
["id"] = "PlxBqx_0215_1750",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 28.491600353669,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32224,
["jmenovatel"] = 1131 },
["render"] = "\\frac{32224}{1131}",
["typ"] = "cislo" },
["tex"] = "28\\frac{556}{1131}",
["x"] = 28,
["y"] = 556,
["z"] = 1131 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{-13}{3}",
["typ"] = "minus" },
["render"] = "(-10 - \\frac{-13}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(-10 - \\frac{-13}{3}) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "(-10 - \\frac{-13}{3}) \\cdot -19 - 4\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(-10 - \\frac{-13}{3}) \\cdot -19 - 4\\frac{5}{13}}{3\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.86, bodu=137, $$-13 \cdot 12 \cdot 1\frac{2}{7} + (4\frac{1}{7} - 16) \cdot -12=\textcolor{white}{-58\frac{2}{7}}$$return {
["body"] = 137,
["id"] = "KwGsAc_0215_1750",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -58.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -408,
["jmenovatel"] = 7 },
["render"] = "\\frac{-408}{7}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{2}{7}",
["x"] = -58,
["y"] = 2,
["z"] = 7 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-13 \\cdot 12 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 16",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{7} - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} - 16) \\cdot -12",
["typ"] = "krat" },
["render"] = "-13 \\cdot 12 \\cdot 1\\frac{2}{7} + (4\\frac{1}{7} - 16) \\cdot -12",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.87, bodu=204, $$\frac{\frac{1\frac{1}{9}}{-14 + (-13)} \cdot 4\frac{1}{9}}{3\frac{1}{7} + 2\frac{4}{5} + (-5)}=\textcolor{white}{-\frac{12950}{72171}}$$return {
["body"] = 204,
["id"] = "fLJm81_0215_1750",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -0.1794349530975,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12950,
["jmenovatel"] = 72171 },
["render"] = "\\frac{-12950}{72171}",
["typ"] = "cislo" },
["tex"] = "-\\frac{12950}{72171}",
["y"] = -12950,
["z"] = 72171 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{9}}{-14 + (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9}}{-14 + (-13)} \\cdot 4\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{5} + (-5)",
["typ"] = "plus" },
["render"] = "3\\frac{1}{7} + 2\\frac{4}{5} + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{1}{9}}{-14 + (-13)} \\cdot 4\\frac{1}{9}}{3\\frac{1}{7} + 2\\frac{4}{5} + (-5)}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.88, bodu=140, $$1\frac{4}{14} - (1\frac{1}{9} \cdot 2 + (-10) + 8 + \frac{7}{19})=\textcolor{white}{\frac{832}{1197}}$$return {
["body"] = 140,
["id"] = "0YdXIq_0215_1750",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 0.69507101086048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 832,
["jmenovatel"] = 1197 },
["render"] = "\\frac{832}{1197}",
["typ"] = "cislo" },
["tex"] = "\\frac{832}{1197}",
["y"] = 832,
["z"] = 1197 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 2 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{7}{19}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{7}{19}",
["typ"] = "plus" },
["render"] = "1\\frac{1}{9} \\cdot 2 + (-10) + 8 + \\frac{7}{19}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{9} \\cdot 2 + (-10) + 8 + \\frac{7}{19})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{14} - (1\\frac{1}{9} \\cdot 2 + (-10) + 8 + \\frac{7}{19})",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.89, bodu=207, $$2\frac{3}{12} - 12 - (1\frac{2}{6} + \frac{\frac{11}{17}}{2\frac{2}{8}} + 2\frac{5}{8})=\textcolor{white}{-13\frac{1219}{1224}}$$return {
["body"] = 207,
["id"] = "TPRQVO_0215_1750",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -13.99591503268,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17131,
["jmenovatel"] = 1224 },
["render"] = "\\frac{-68524}{4896}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{1219}{1224}",
["x"] = -13,
["y"] = 1219,
["z"] = 1224 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} - 12",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{11}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{17}}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{17}}{2\\frac{2}{8}} + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "1\\frac{2}{6} + \\frac{\\frac{11}{17}}{2\\frac{2}{8}} + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{6} + \\frac{\\frac{11}{17}}{2\\frac{2}{8}} + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{12} - 12 - (1\\frac{2}{6} + \\frac{\\frac{11}{17}}{2\\frac{2}{8}} + 2\\frac{5}{8})",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.9, bodu=143, $$\frac{6}{15 \cdot (13 + 1\frac{3}{10} + 4\frac{4}{14} \cdot -12)}=\textcolor{white}{-\frac{28}{2599}}$$return {
["body"] = 143,
["id"] = "JbnKVe_0215_1750",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -0.01077337437476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 2599 },
["render"] = "\\frac{84}{-7797}",
["typ"] = "cislo" },
["tex"] = "-\\frac{28}{2599}",
["y"] = -28,
["z"] = 2599 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{14} \\cdot -12",
["typ"] = "krat" },
["render"] = "13 + 1\\frac{3}{10} + 4\\frac{4}{14} \\cdot -12",
["typ"] = "plus" },
["render"] = "(13 + 1\\frac{3}{10} + 4\\frac{4}{14} \\cdot -12)",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (13 + 1\\frac{3}{10} + 4\\frac{4}{14} \\cdot -12)",
["typ"] = "krat" },
["render"] = "\\frac{6}{15 \\cdot (13 + 1\\frac{3}{10} + 4\\frac{4}{14} \\cdot -12)}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.91, bodu=253, $$\frac{(3\frac{3}{14} - 2\frac{2}{9} + (-5 + 2\frac{3}{9})^2) \cdot \frac{1\frac{4}{13}}{2\frac{5}{12}}}{21}=\textcolor{white}{\frac{34714}{166257}}$$return {
["body"] = 253,
["id"] = "V73dMV_0215_1750",
["obtiznost"] = 1.9392,
["reseni"] = {
["float"] = 0.20879722357555,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34714,
["jmenovatel"] = 166257 },
["render"] = "\\frac{34714}{166257}",
["typ"] = "cislo" },
["tex"] = "\\frac{34714}{166257}",
["y"] = 34714,
["z"] = 166257 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{14} - 2\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-5 + 2\\frac{3}{9}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 2\\frac{3}{9})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{14} - 2\\frac{2}{9} + (-5 + 2\\frac{3}{9})^2",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{14} - 2\\frac{2}{9} + (-5 + 2\\frac{3}{9})^2)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{13}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{3}{14} - 2\\frac{2}{9} + (-5 + 2\\frac{3}{9})^2) \\cdot \\frac{1\\frac{4}{13}}{2\\frac{5}{12}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{3}{14} - 2\\frac{2}{9} + (-5 + 2\\frac{3}{9})^2) \\cdot \\frac{1\\frac{4}{13}}{2\\frac{5}{12}}}{21}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.92, bodu=146, $$\frac{-14}{4\frac{2}{8}} - 14 - \frac{\frac{12}{-13}}{3\frac{2}{5}}=\textcolor{white}{-17\frac{5}{221}}$$return {
["body"] = 146,
["id"] = "4n990I_0215_1750",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -17.022624434389,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3762,
["jmenovatel"] = 221 },
["render"] = "\\frac{-63954}{3757}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{5}{221}",
["x"] = -17,
["y"] = 5,
["z"] = 221 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{4\\frac{2}{8}} - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{-13}}{3\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{4\\frac{2}{8}} - 14 - \\frac{\\frac{12}{-13}}{3\\frac{2}{5}}",
["typ"] = "minus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.93, bodu=180, $$2\frac{5}{14} \cdot (-20 + (1\frac{4}{11} - 2\frac{1}{9} - (-18)) \cdot 9 - (-14))=\textcolor{white}{351\frac{6}{7}}$$return {
["body"] = 180,
["id"] = "zz7nmQ_0215_1750",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 351.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2463,
["jmenovatel"] = 7 },
["render"] = "\\frac{54186}{154}",
["typ"] = "cislo" },
["tex"] = "351\\frac{6}{7}",
["x"] = 351,
["y"] = 6,
["z"] = 7 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - 2\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - 2\\frac{1}{9} - (-18)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{11} - 2\\frac{1}{9} - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{11} - 2\\frac{1}{9} - (-18)) \\cdot 9",
["typ"] = "krat" },
["render"] = "-20 + (1\\frac{4}{11} - 2\\frac{1}{9} - (-18)) \\cdot 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-20 + (1\\frac{4}{11} - 2\\frac{1}{9} - (-18)) \\cdot 9 - (-14)",
["typ"] = "minus" },
["render"] = "(-20 + (1\\frac{4}{11} - 2\\frac{1}{9} - (-18)) \\cdot 9 - (-14))",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{14} \\cdot (-20 + (1\\frac{4}{11} - 2\\frac{1}{9} - (-18)) \\cdot 9 - (-14))",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.94, bodu=181, $$\frac{\frac{-14}{\frac{4\frac{2}{7}}{-23}}}{\frac{1\frac{5}{14}}{4\frac{3}{14} + (-13)}}=\textcolor{white}{-486\frac{37}{95}}$$return {
["body"] = 181,
["id"] = "mHQpuA_0215_1750",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -486.38947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = -46207,
["jmenovatel"] = 95 },
["render"] = "\\frac{138621}{-285}",
["typ"] = "cislo" },
["tex"] = "-486\\frac{37}{95}",
["x"] = -486,
["y"] = 37,
["z"] = 95 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{-23}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{\\frac{4\\frac{2}{7}}{-23}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 14 },
["render"] = "4\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{14} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{14}}{4\\frac{3}{14} + (-13)}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-14}{\\frac{4\\frac{2}{7}}{-23}}}{\\frac{1\\frac{5}{14}}{4\\frac{3}{14} + (-13)}}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.95, bodu=151, $$\frac{\frac{10}{2\frac{1}{11}} - (-6 \cdot 2\frac{1}{12})}{-14 + (-21)}=\textcolor{white}{-\frac{159}{322}}$$return {
["body"] = 151,
["id"] = "1gEAIm_0215_1750",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -0.49378881987578,
["objekt"] = {
["hodnota"] = {
["citatel"] = -159,
["jmenovatel"] = 322 },
["render"] = "\\frac{795}{-1610}",
["typ"] = "cislo" },
["tex"] = "-\\frac{159}{322}",
["y"] = -159,
["z"] = 322 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 2\\frac{1}{12}",
["typ"] = "krat" },
["render"] = "\\frac{10}{2\\frac{1}{11}} - (-6 \\cdot 2\\frac{1}{12})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-14 + (-21)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{2\\frac{1}{11}} - (-6 \\cdot 2\\frac{1}{12})}{-14 + (-21)}",
["typ"] = "lomeno" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.96, bodu=274, $$\frac{3\frac{2}{10}}{1\frac{3}{14} \cdot 2\frac{1}{3}} + (-18 + 12 + 1\frac{5}{10} + (-9))^2=\textcolor{white}{183\frac{129}{340}}$$return {
["body"] = 274,
["id"] = "YRJAbW_0215_1750",
["obtiznost"] = 2.0532,
["reseni"] = {
["float"] = 183.37941176471,
["objekt"] = {
["hodnota"] = {
["citatel"] = 62349,
["jmenovatel"] = 340 },
["render"] = "\\frac{62349}{340}",
["typ"] = "cislo" },
["tex"] = "183\\frac{129}{340}",
["x"] = 183,
["y"] = 129,
["z"] = 340 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 14 },
["render"] = "1\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{14} \\cdot 2\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{10}}{1\\frac{3}{14} \\cdot 2\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{5}{10} + (-9)",
["typ"] = "plus" },
["render"] = "-18 + 12 + 1\\frac{5}{10} + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-18 + 12 + 1\\frac{5}{10} + (-9))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{2}{10}}{1\\frac{3}{14} \\cdot 2\\frac{1}{3}} + (-18 + 12 + 1\\frac{5}{10} + (-9))^2",
["typ"] = "plus" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.97, bodu=290, $$\frac{(1\frac{3}{14} + 1\frac{4}{8})^2 - 13}{3\frac{2}{7}} \cdot (2\frac{4}{9} - 2\frac{3}{10})=\textcolor{white}{-\frac{26}{105}}$$return {
["body"] = 290,
["id"] = "EaMbdp_0215_1750",
["obtiznost"] = 2.134,
["reseni"] = {
["float"] = -0.24761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 105 },
["render"] = "\\frac{-156}{630}",
["typ"] = "cislo" },
["tex"] = "-\\frac{26}{105}",
["y"] = -26,
["z"] = 105 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 14 },
["render"] = "1\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{14} + 1\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{14} + 1\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{14} + 1\\frac{4}{8})^2 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{3}{14} + 1\\frac{4}{8})^2 - 13}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 2\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - 2\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{(1\\frac{3}{14} + 1\\frac{4}{8})^2 - 13}{3\\frac{2}{7}} \\cdot (2\\frac{4}{9} - 2\\frac{3}{10})",
["typ"] = "krat" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.98, bodu=206, $$(3\frac{5}{10} \cdot 3\frac{3}{6} + \frac{-15}{\frac{-15}{1\frac{3}{4}}} + (-18))^4=\textcolor{white}{256}$$return {
["body"] = 206,
["id"] = "wm5yJ5_0215_1750",
["obtiznost"] = 1.6828,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["x"] = 256 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.98",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{-15}{1\\frac{3}{4}}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{3}{6} + \\frac{-15}{\\frac{-15}{1\\frac{3}{4}}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{3}{6} + \\frac{-15}{\\frac{-15}{1\\frac{3}{4}}} + (-18)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(3\\frac{5}{10} \\cdot 3\\frac{3}{6} + \\frac{-15}{\\frac{-15}{1\\frac{3}{4}}} + (-18))^4",
["typ"] = "mocnina" } }
seed: I7PzVQs6i9Nj3CBTnIcF_0.99, bodu=190, $$\frac{24 + 1\frac{5}{10} \cdot (9 - (4\frac{5}{11} - 3\frac{1}{7}))}{21}=\textcolor{white}{1\frac{373}{539}}$$return {
["body"] = 190,
["id"] = "GO89Hj_0215_1750",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 1.6920222634508,
["objekt"] = {
["hodnota"] = {
["citatel"] = 912,
["jmenovatel"] = 539 },
["render"] = "\\frac{2736}{1617}",
["typ"] = "cislo" },
["tex"] = "1\\frac{373}{539}",
["x"] = 1,
["y"] = 373,
["z"] = 539 },
["seed"] = "I7PzVQs6i9Nj3CBTnIcF_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{11} - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "9 - (4\\frac{5}{11} - 3\\frac{1}{7})",
["typ"] = "minus" },
["render"] = "(9 - (4\\frac{5}{11} - 3\\frac{1}{7}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} \\cdot (9 - (4\\frac{5}{11} - 3\\frac{1}{7}))",
["typ"] = "krat" },
["render"] = "24 + 1\\frac{5}{10} \\cdot (9 - (4\\frac{5}{11} - 3\\frac{1}{7}))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{24 + 1\\frac{5}{10} \\cdot (9 - (4\\frac{5}{11} - 3\\frac{1}{7}))}{21}",
["typ"] = "lomeno" } }
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