- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: ThmIFo4rXTJvWge65DHF_0, bodu=10, $$\frac{8 \cdot 7}{9}=\textcolor{white}{6\frac{2}{9}}$$return {
["body"] = 10,
["id"] = "z3yRbm_0501_1531",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 6.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 9 },
["render"] = "\\frac{56}{9}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{9}",
["x"] = 6,
["y"] = 2,
["z"] = 9 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 7}{9}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.01, bodu=10, $$\frac{(6 + 6 - 9)^3}{4 + (-10)}=\textcolor{white}{-4{,}5}$$return {
["body"] = 10,
["id"] = "CjzEzy_0501_1531",
["obtiznost"] = 0.0212,
["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"] = "ThmIFo4rXTJvWge65DHF_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "6 + 6 - 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + 6 - 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{(6 + 6 - 9)^3}{4 + (-10)}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.02, bodu=10, $$\frac{4 \cdot -7}{5 - 4}=\textcolor{white}{-28}$$return {
["body"] = 10,
["id"] = "bJqYWt_0501_1531",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 1 },
["render"] = "\\frac{-28}{1}",
["typ"] = "cislo" },
["tex"] = "-28",
["tex_float"] = "-28",
["x"] = -28 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "\\frac{4 \\cdot -7}{5 - 4}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.03, bodu=10, $$\frac{10}{9 \cdot 9}=\textcolor{white}{\frac{10}{81}}$$return {
["body"] = 10,
["id"] = "MpnJdM_0501_1531",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.12345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 81 },
["render"] = "\\frac{10}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{81}",
["y"] = 10,
["z"] = 81 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{10}{9 \\cdot 9}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.04, bodu=5, $$8 - 6 \cdot -8 + 7=\textcolor{white}{63}$$return {
["body"] = 5,
["id"] = "ndU22F_0501_1531",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{63}{1}",
["typ"] = "cislo" },
["tex"] = "63",
["x"] = 63 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 \\cdot -8",
["typ"] = "krat" },
["render"] = "8 - 6 \\cdot -8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 6 \\cdot -8 + 7",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.05, bodu=5, $$7 \cdot 4 \cdot 5=\textcolor{white}{140}$$return {
["body"] = 5,
["id"] = "nuyV3R_0501_1531",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 1 },
["render"] = "\\frac{140}{1}",
["typ"] = "cislo" },
["tex"] = "140",
["tex_float"] = "140",
["x"] = 140 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["render"] = "7 \\cdot 4 \\cdot 5",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.06, bodu=21, $$3 - 7 \cdot 3 + 3\frac{3}{4}=\textcolor{white}{-14{,}25}$$return {
["body"] = 21,
["id"] = "b0nkWR_0501_1531",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -14.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 4 },
["render"] = "\\frac{-57}{4}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{1}{4}",
["tex_float"] = "-14{,}25",
["x"] = -14,
["y"] = 1,
["z"] = 4 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3",
["typ"] = "krat" },
["render"] = "3 - 7 \\cdot 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "3 - 7 \\cdot 3 + 3\\frac{3}{4}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.07, bodu=12, $$\frac{(6 - 3)^4}{9 + 5}=\textcolor{white}{5\frac{11}{14}}$$return {
["body"] = 12,
["id"] = "SsxGRY_0501_1531",
["obtiznost"] = 0.1028,
["reseni"] = {
["float"] = 5.7857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 14 },
["render"] = "\\frac{81}{14}",
["typ"] = "cislo" },
["tex"] = "5\\frac{11}{14}",
["x"] = 5,
["y"] = 11,
["z"] = 14 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 3)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["render"] = "\\frac{(6 - 3)^4}{9 + 5}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.08, bodu=12, $$\frac{8}{7 + 8 \cdot 3}=\textcolor{white}{\frac{8}{31}}$$return {
["body"] = 12,
["id"] = "r5XQpX_0501_1531",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.25806451612903,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 31 },
["render"] = "\\frac{8}{31}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{31}",
["y"] = 8,
["z"] = 31 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3",
["typ"] = "krat" },
["render"] = "7 + 8 \\cdot 3",
["typ"] = "plus" },
["render"] = "\\frac{8}{7 + 8 \\cdot 3}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.09, bodu=24, $$9 \cdot \frac{-9 + 4}{1\frac{5}{9}}=\textcolor{white}{-28\frac{13}{14}}$$return {
["body"] = 24,
["id"] = "IBvNy1_0501_1531",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -28.928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -405,
["jmenovatel"] = 14 },
["render"] = "\\frac{-405}{14}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{13}{14}",
["x"] = -28,
["y"] = 13,
["z"] = 14 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 4}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{-9 + 4}{1\\frac{5}{9}}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.1, bodu=6, $$(-7 + 10)^3 \cdot (-11 + (-10))=\textcolor{white}{-567}$$return {
["body"] = 6,
["id"] = "N3Gk3Y_0501_1531",
["obtiznost"] = 0.1112,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 1 },
["render"] = "\\frac{-567}{1}",
["typ"] = "cislo" },
["tex"] = "-567",
["tex_float"] = "-567",
["x"] = -567 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-7 + 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 + (-10)",
["typ"] = "plus" },
["render"] = "(-11 + (-10))",
["typ"] = "zavorka" },
["render"] = "(-7 + 10)^3 \\cdot (-11 + (-10))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.11, bodu=13, $$\frac{9}{6} - 6 - 7=\textcolor{white}{-11{,}5}$$return {
["body"] = 13,
["id"] = "Kj5yr6_0501_1531",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = -11.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 2 },
["render"] = "\\frac{-23}{2}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1}{2}",
["tex_float"] = "-11{,}5",
["x"] = -11,
["y"] = 1,
["z"] = 2 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6} - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6} - 6 - 7",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.12, bodu=16, $$6 + 5 + (-5 - 4)^3 + (-9)=\textcolor{white}{-727}$$return {
["body"] = 16,
["id"] = "SUBTMb_0501_1531",
["obtiznost"] = 0.412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -727,
["jmenovatel"] = 1 },
["render"] = "\\frac{-727}{1}",
["typ"] = "cislo" },
["tex"] = "-727",
["x"] = -727 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-5 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-5 - 4)^3",
["typ"] = "mocnina" },
["render"] = "5 + (-5 - 4)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 + (-5 - 4)^3 + (-9)",
["typ"] = "plus" },
["render"] = "6 + 5 + (-5 - 4)^3 + (-9)",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.13, bodu=7, $$(-8 + 8) \cdot 9 \cdot 9=\textcolor{white}{0}$$return {
["body"] = 7,
["id"] = "eKrfc6_0501_1531",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(-8 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["render"] = "(-8 + 8) \\cdot 9 \\cdot 9",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.14, bodu=45, $$-11 \cdot \frac{1\frac{5}{8}}{2\frac{3}{5} + 6}=\textcolor{white}{-2\frac{27}{344}}$$return {
["body"] = 45,
["id"] = "bXLsDJ_0501_1531",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -2.078488372093,
["objekt"] = {
["hodnota"] = {
["citatel"] = -715,
["jmenovatel"] = 344 },
["render"] = "\\frac{-715}{344}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{27}{344}",
["x"] = -2,
["y"] = 27,
["z"] = 344 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 6",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{8}}{2\\frac{3}{5} + 6}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{1\\frac{5}{8}}{2\\frac{3}{5} + 6}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.15, bodu=15, $$\frac{-7}{7 - 8} + 10=\textcolor{white}{17}$$return {
["body"] = 15,
["id"] = "771awG_0501_1531",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["tex_float"] = "17",
["x"] = 17 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["render"] = "\\frac{-7}{7 - 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{7 - 8} + 10",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.16, bodu=15, $$\frac{6}{-11} - (6 + 8)=\textcolor{white}{-14\frac{6}{11}}$$return {
["body"] = 15,
["id"] = "8c33jb_0501_1531",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -14.545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 11 },
["render"] = "\\frac{-160}{11}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{6}{11}",
["x"] = -14,
["y"] = 6,
["z"] = 11 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "(6 + 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{-11} - (6 + 8)",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.17, bodu=41, $$(\frac{(4\frac{5}{5} - 7)^4 + 10}{11})^2=\textcolor{white}{5\frac{71}{121}}$$return {
["body"] = 41,
["id"] = "p6kQwh_0501_1531",
["obtiznost"] = 0.4956,
["reseni"] = {
["float"] = 5.5867768595041,
["objekt"] = {
["hodnota"] = {
["citatel"] = 676,
["jmenovatel"] = 121 },
["render"] = "\\frac{676}{121}",
["typ"] = "cislo" },
["tex"] = "5\\frac{71}{121}",
["x"] = 5,
["y"] = 71,
["z"] = 121 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.17",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{5} - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(4\\frac{5}{5} - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{5} - 7)^4 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{5}{5} - 7)^4 + 10}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(4\\frac{5}{5} - 7)^4 + 10}{11})^2",
["typ"] = "mocnina" } }
seed: ThmIFo4rXTJvWge65DHF_0.18, bodu=31, $$-7 \cdot (6 - 3\frac{4}{5} + 3)=\textcolor{white}{-36{,}4}$$return {
["body"] = 31,
["id"] = "4KQ1wG_0501_1531",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -36.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -182,
["jmenovatel"] = 5 },
["render"] = "\\frac{-182}{5}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{2}{5}",
["tex_float"] = "-36{,}4",
["x"] = -36,
["y"] = 2,
["z"] = 5 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{4}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3\\frac{4}{5} + 3",
["typ"] = "plus" },
["render"] = "(6 - 3\\frac{4}{5} + 3)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (6 - 3\\frac{4}{5} + 3)",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.19, bodu=17, $$\frac{11}{-9 + 6 - (-8)}=\textcolor{white}{2{,}2}$$return {
["body"] = 17,
["id"] = "KqbCWD_0501_1531",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 2.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "\\frac{11}{5}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{5}",
["tex_float"] = "2{,}2",
["x"] = 2,
["y"] = 1,
["z"] = 5 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 + 6 - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{11}{-9 + 6 - (-8)}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.2, bodu=18, $$\frac{4}{8} \cdot 6 \cdot 7=\textcolor{white}{21}$$return {
["body"] = 18,
["id"] = "ItigL6_0501_1531",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "\\frac{42}{2}",
["typ"] = "cislo" },
["tex"] = "21",
["x"] = 21 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{4}{8} \\cdot 6 \\cdot 7",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.21, bodu=9, $$9 + (-9 + 11 - (-5) - 4)^2=\textcolor{white}{18}$$return {
["body"] = 9,
["id"] = "vSXbrG_0501_1531",
["obtiznost"] = 0.214,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["tex_float"] = "18",
["x"] = 18 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-9 + 11 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 11 - (-5) - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 + 11 - (-5) - 4)^2",
["typ"] = "mocnina" },
["render"] = "9 + (-9 + 11 - (-5) - 4)^2",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.22, bodu=19, $$\frac{-10}{7} \cdot (8 - (-8))=\textcolor{white}{-22\frac{6}{7}}$$return {
["body"] = 19,
["id"] = "4IzBzJ_0501_1531",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = -22.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 7 },
["render"] = "\\frac{-160}{7}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{6}{7}",
["x"] = -22,
["y"] = 6,
["z"] = 7 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.22",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["render"] = "(8 - (-8))",
["typ"] = "zavorka" },
["render"] = "\\frac{-10}{7} \\cdot (8 - (-8))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.23, bodu=35, $$(-14 + 10 \cdot -5 - 1\frac{5}{9}) \cdot 3=\textcolor{white}{-196\frac{2}{3}}$$return {
["body"] = 35,
["id"] = "vdZdun_0501_1531",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -196.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -590,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1770}{9}",
["typ"] = "cislo" },
["tex"] = "-196\\frac{2}{3}",
["x"] = -196,
["y"] = 2,
["z"] = 3 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 \\cdot -5",
["typ"] = "krat" },
["render"] = "-14 + 10 \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 + 10 \\cdot -5 - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(-14 + 10 \\cdot -5 - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-14 + 10 \\cdot -5 - 1\\frac{5}{9}) \\cdot 3",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.24, bodu=22, $$\frac{(-4 + 7)^4}{\frac{-7}{-10 + 8}}=\textcolor{white}{23\frac{1}{7}}$$return {
["body"] = 22,
["id"] = "qHz4mA_0501_1531",
["obtiznost"] = 0.2728,
["reseni"] = {
["float"] = 23.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 162,
["jmenovatel"] = 7 },
["render"] = "\\frac{162}{7}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{7}",
["x"] = 23,
["y"] = 1,
["z"] = 7 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-4 + 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-7}{-10 + 8}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-4 + 7)^4}{\\frac{-7}{-10 + 8}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.25, bodu=21, $$\frac{\frac{-8}{7}}{-13 + 3 - 8}=\textcolor{white}{\frac{4}{63}}$$return {
["body"] = 21,
["id"] = "Y7e7fE_0501_1531",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 0.063492063492063,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 63 },
["render"] = "\\frac{-8}{-126}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{63}",
["y"] = 4,
["z"] = 63 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - 8",
["typ"] = "minus" },
["render"] = "-13 + 3 - 8",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-8}{7}}{-13 + 3 - 8}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.26, bodu=21, $$\frac{10}{-14} + 9 \cdot 9=\textcolor{white}{80\frac{2}{7}}$$return {
["body"] = 21,
["id"] = "GljPCD_0501_1531",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 80.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 562,
["jmenovatel"] = 7 },
["render"] = "\\frac{562}{7}",
["typ"] = "cislo" },
["tex"] = "80\\frac{2}{7}",
["x"] = 80,
["y"] = 2,
["z"] = 7 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{10}{-14} + 9 \\cdot 9",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.27, bodu=38, $$\frac{10}{7 \cdot (2\frac{4}{7} + (-6))}=\textcolor{white}{-\frac{5}{12}}$$return {
["body"] = 38,
["id"] = "gpVqdd_0501_1531",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -0.41666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 12 },
["render"] = "\\frac{10}{-24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{12}",
["y"] = -5,
["z"] = 12 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + (-6)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + (-6))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (2\\frac{4}{7} + (-6))",
["typ"] = "krat" },
["render"] = "\\frac{10}{7 \\cdot (2\\frac{4}{7} + (-6))}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.28, bodu=23, $$10 \cdot (\frac{8}{11} - (-5))=\textcolor{white}{57\frac{3}{11}}$$return {
["body"] = 23,
["id"] = "0KQKsI_0501_1531",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 57.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 630,
["jmenovatel"] = 11 },
["render"] = "\\frac{630}{11}",
["typ"] = "cislo" },
["tex"] = "57\\frac{3}{11}",
["x"] = 57,
["y"] = 3,
["z"] = 11 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11} - (-5)",
["typ"] = "minus" },
["render"] = "(\\frac{8}{11} - (-5))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (\\frac{8}{11} - (-5))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.29, bodu=40, $$\frac{4\frac{4}{9} + (-10)}{7} \cdot 11=\textcolor{white}{-8\frac{46}{63}}$$return {
["body"] = 40,
["id"] = "9GFLnb_0501_1531",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -8.7301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -550,
["jmenovatel"] = 63 },
["render"] = "\\frac{-550}{63}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{46}{63}",
["x"] = -8,
["y"] = 46,
["z"] = 63 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9} + (-10)}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9} + (-10)}{7} \\cdot 11",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.3, bodu=12, $$11 \cdot 14 \cdot -8 \cdot -6=\textcolor{white}{7392}$$return {
["body"] = 12,
["id"] = "ZXRf38_0501_1531",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7392,
["jmenovatel"] = 1 },
["render"] = "\\frac{7392}{1}",
["typ"] = "cislo" },
["tex"] = "7392",
["tex_float"] = "7392",
["x"] = 7392 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "14 \\cdot -8 \\cdot -6",
["typ"] = "krat" },
["render"] = "11 \\cdot 14 \\cdot -8 \\cdot -6",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.31, bodu=42, $$(2\frac{2}{4} - 13) \cdot 8 - 6=\textcolor{white}{-90}$$return {
["body"] = 42,
["id"] = "f9x8jS_0501_1531",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{1}",
["typ"] = "cislo" },
["tex"] = "-90",
["tex_float"] = "-90",
["x"] = -90 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{4} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{4} - 13) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{4} - 13) \\cdot 8 - 6",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.32, bodu=35, $$\frac{5}{7 - 10 - (12 + 5)^2}=\textcolor{white}{-\frac{5}{292}}$$return {
["body"] = 35,
["id"] = "JbIBM5_0501_1531",
["obtiznost"] = 0.436,
["reseni"] = {
["float"] = -0.017123287671233,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 292 },
["render"] = "\\frac{5}{-292}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{292}",
["y"] = -5,
["z"] = 292 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 5)^2",
["typ"] = "mocnina" },
["render"] = "7 - 10 - (12 + 5)^2",
["typ"] = "minus" },
["render"] = "\\frac{5}{7 - 10 - (12 + 5)^2}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.33, bodu=66, $$(1\frac{5}{9} + 12) \cdot (4\frac{3}{6} - (11 - (-7)))=\textcolor{white}{-183}$$return {
["body"] = 66,
["id"] = "xpamDX_0501_1531",
["obtiznost"] = 0.73,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -183,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3294}{18}",
["typ"] = "cislo" },
["tex"] = "-183",
["tex_float"] = "-183",
["x"] = -183 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 12",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{9} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 - (-7)",
["typ"] = "minus" },
["render"] = "(11 - (-7))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} - (11 - (-7))",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{6} - (11 - (-7)))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{9} + 12) \\cdot (4\\frac{3}{6} - (11 - (-7)))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.34, bodu=92, $$\frac{4\frac{3}{4}}{\frac{8 \cdot 3\frac{2}{5}}{1\frac{5}{9}}}=\textcolor{white}{\frac{665}{2448}}$$return {
["body"] = 92,
["id"] = "3Fcvo4_0501_1531",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 0.27165032679739,
["objekt"] = {
["hodnota"] = {
["citatel"] = 665,
["jmenovatel"] = 2448 },
["render"] = "\\frac{665}{2448}",
["typ"] = "cislo" },
["tex"] = "\\frac{665}{2448}",
["y"] = 665,
["z"] = 2448 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 3\\frac{2}{5}}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{4}}{\\frac{8 \\cdot 3\\frac{2}{5}}{1\\frac{5}{9}}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.35, bodu=47, $$12 + 5 \cdot (1\frac{4}{8} - 11 + 10)^3=\textcolor{white}{12{,}625}$$return {
["body"] = 47,
["id"] = "9U7SJd_0501_1531",
["obtiznost"] = 0.5536,
["reseni"] = {
["float"] = 12.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 8 },
["render"] = "\\frac{101}{8}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{8}",
["tex_float"] = "12{,}625",
["x"] = 12,
["y"] = 5,
["z"] = 8 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 11 + 10",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{4}{8} - 11 + 10)^3",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (1\\frac{4}{8} - 11 + 10)^3",
["typ"] = "krat" },
["render"] = "12 + 5 \\cdot (1\\frac{4}{8} - 11 + 10)^3",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.36, bodu=29, $$9 \cdot 8 + \frac{-11}{5}=\textcolor{white}{69{,}8}$$return {
["body"] = 29,
["id"] = "NVqQ9F_0501_1531",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 69.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 349,
["jmenovatel"] = 5 },
["render"] = "\\frac{349}{5}",
["typ"] = "cislo" },
["tex"] = "69\\frac{4}{5}",
["tex_float"] = "69{,}8",
["x"] = 69,
["y"] = 4,
["z"] = 5 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{5}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot 8 + \\frac{-11}{5}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.37, bodu=30, $$\frac{-12}{9 \cdot 11 - 14}=\textcolor{white}{-\frac{12}{85}}$$return {
["body"] = 30,
["id"] = "8d7XUU_0501_1531",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -0.14117647058824,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 85 },
["render"] = "\\frac{-12}{85}",
["typ"] = "cislo" },
["tex"] = "-\\frac{12}{85}",
["y"] = -12,
["z"] = 85 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11 - 14",
["typ"] = "minus" },
["render"] = "\\frac{-12}{9 \\cdot 11 - 14}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.38, bodu=71, $$\frac{1\frac{5}{8}}{8 - (4\frac{1}{4} + \frac{8}{15})}=\textcolor{white}{\frac{195}{386}}$$return {
["body"] = 71,
["id"] = "HH8rVk_0501_1531",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 0.50518134715026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 195,
["jmenovatel"] = 386 },
["render"] = "\\frac{780}{1544}",
["typ"] = "cislo" },
["tex"] = "\\frac{195}{386}",
["y"] = 195,
["z"] = 386 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{15}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{4} + \\frac{8}{15}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + \\frac{8}{15})",
["typ"] = "zavorka" },
["render"] = "8 - (4\\frac{1}{4} + \\frac{8}{15})",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{8}}{8 - (4\\frac{1}{4} + \\frac{8}{15})}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.39, bodu=73, $$3\frac{1}{3} + \frac{4\frac{2}{4}}{15} \cdot 13=\textcolor{white}{7\frac{7}{30}}$$return {
["body"] = 73,
["id"] = "v3rWBi_0501_1531",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 7.2333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 217,
["jmenovatel"] = 30 },
["render"] = "\\frac{217}{30}",
["typ"] = "cislo" },
["tex"] = "7\\frac{7}{30}",
["x"] = 7,
["y"] = 7,
["z"] = 30 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{15} \\cdot 13",
["typ"] = "krat" },
["render"] = "3\\frac{1}{3} + \\frac{4\\frac{2}{4}}{15} \\cdot 13",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.4, bodu=51, $$\frac{2\frac{3}{4} - (-7 \cdot -12) - 9}{7}=\textcolor{white}{-12\frac{25}{28}}$$return {
["body"] = 51,
["id"] = "ZUObBv_0501_1531",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -12.892857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -361,
["jmenovatel"] = 28 },
["render"] = "\\frac{-361}{28}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{25}{28}",
["x"] = -12,
["y"] = 25,
["z"] = 28 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -12",
["typ"] = "krat" },
["render"] = "2\\frac{3}{4} - (-7 \\cdot -12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} - (-7 \\cdot -12) - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{4} - (-7 \\cdot -12) - 9}{7}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.41, bodu=24, $$14 + (-10 - 10)^2 - (-15 + 14 + (-8))=\textcolor{white}{423}$$return {
["body"] = 24,
["id"] = "D2F2za_0501_1531",
["obtiznost"] = 0.5704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 423,
["jmenovatel"] = 1 },
["render"] = "\\frac{423}{1}",
["typ"] = "cislo" },
["tex"] = "423",
["tex_float"] = "423",
["x"] = 423 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-10 - 10)^2",
["typ"] = "mocnina" },
["render"] = "14 + (-10 - 10)^2",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 + (-8)",
["typ"] = "plus" },
["render"] = "-15 + 14 + (-8)",
["typ"] = "plus" },
["render"] = "(-15 + 14 + (-8))",
["typ"] = "zavorka" },
["render"] = "14 + (-10 - 10)^2 - (-15 + 14 + (-8))",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.42, bodu=17, $$(-6 + (-13)) \cdot 13 \cdot (12 + (-13) + (-5))=\textcolor{white}{1482}$$return {
["body"] = 17,
["id"] = "iuSv3h_0501_1531",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1482,
["jmenovatel"] = 1 },
["render"] = "\\frac{1482}{1}",
["typ"] = "cislo" },
["tex"] = "1482",
["tex_float"] = "1482",
["x"] = 1482 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-6 + (-13)",
["typ"] = "plus" },
["render"] = "(-6 + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 + (-13) + (-5)",
["typ"] = "plus" },
["render"] = "(12 + (-13) + (-5))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (12 + (-13) + (-5))",
["typ"] = "krat" },
["render"] = "(-6 + (-13)) \\cdot 13 \\cdot (12 + (-13) + (-5))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.43, bodu=17, $$(10 + 13 \cdot -5) \cdot (-6 + 14)=\textcolor{white}{-440}$$return {
["body"] = 17,
["id"] = "UNsQTV_0501_1531",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -440,
["jmenovatel"] = 1 },
["render"] = "\\frac{-440}{1}",
["typ"] = "cislo" },
["tex"] = "-440",
["x"] = -440 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.43",
["zadani"] = {
["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"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 \\cdot -5",
["typ"] = "krat" },
["render"] = "10 + 13 \\cdot -5",
["typ"] = "plus" },
["render"] = "(10 + 13 \\cdot -5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-6 + 14",
["typ"] = "plus" },
["render"] = "(-6 + 14)",
["typ"] = "zavorka" },
["render"] = "(10 + 13 \\cdot -5) \\cdot (-6 + 14)",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.44, bodu=56, $$\frac{1\frac{3}{7}}{3} \cdot \frac{-14}{6}=\textcolor{white}{-1\frac{1}{9}}$$return {
["body"] = 56,
["id"] = "LBnvUl_0501_1531",
["obtiznost"] = 0.64,
["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"] = "ThmIFo4rXTJvWge65DHF_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{7}}{3} \\cdot \\frac{-14}{6}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.45, bodu=57, $$13 - (-12 - 5 + 12 + \frac{4\frac{3}{8}}{-6})=\textcolor{white}{18\frac{35}{48}}$$return {
["body"] = 57,
["id"] = "UYV8BW_0501_1531",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 18.729166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 899,
["jmenovatel"] = 48 },
["render"] = "\\frac{899}{48}",
["typ"] = "cislo" },
["tex"] = "18\\frac{35}{48}",
["x"] = 18,
["y"] = 35,
["z"] = 48 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{-6}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{4\\frac{3}{8}}{-6}",
["typ"] = "plus" },
["render"] = "-12 - 5 + 12 + \\frac{4\\frac{3}{8}}{-6}",
["typ"] = "plus" },
["render"] = "(-12 - 5 + 12 + \\frac{4\\frac{3}{8}}{-6})",
["typ"] = "zavorka" },
["render"] = "13 - (-12 - 5 + 12 + \\frac{4\\frac{3}{8}}{-6})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.46, bodu=58, $$\frac{\frac{13}{9 - 4\frac{2}{5}} + 9}{11}=\textcolor{white}{1\frac{19}{253}}$$return {
["body"] = 58,
["id"] = "QPsous_0501_1531",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 1.0750988142292,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 253 },
["render"] = "\\frac{272}{253}",
["typ"] = "cislo" },
["tex"] = "1\\frac{19}{253}",
["x"] = 1,
["y"] = 19,
["z"] = 253 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "\\frac{13}{9 - 4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{9 - 4\\frac{2}{5}} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{9 - 4\\frac{2}{5}} + 9}{11}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.47, bodu=90, $$(14 - 9) \cdot (11 + (2\frac{4}{9} - 3\frac{1}{3})^2 - 13)=\textcolor{white}{-6\frac{4}{81}}$$return {
["body"] = 90,
["id"] = "dufFou_0501_1531",
["obtiznost"] = 0.928,
["reseni"] = {
["float"] = -6.0493827160494,
["objekt"] = {
["hodnota"] = {
["citatel"] = -490,
["jmenovatel"] = 81 },
["render"] = "\\frac{-490}{81}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{4}{81}",
["x"] = -6,
["y"] = 4,
["z"] = 81 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 - 9",
["typ"] = "minus" },
["render"] = "(14 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 3\\frac{1}{3}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{9} - 3\\frac{1}{3})^2",
["typ"] = "mocnina" },
["render"] = "11 + (2\\frac{4}{9} - 3\\frac{1}{3})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 + (2\\frac{4}{9} - 3\\frac{1}{3})^2 - 13",
["typ"] = "minus" },
["render"] = "(11 + (2\\frac{4}{9} - 3\\frac{1}{3})^2 - 13)",
["typ"] = "zavorka" },
["render"] = "(14 - 9) \\cdot (11 + (2\\frac{4}{9} - 3\\frac{1}{3})^2 - 13)",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.48, bodu=60, $$10 + \frac{7 \cdot 6}{10 + 2\frac{4}{9}}=\textcolor{white}{13{,}375}$$return {
["body"] = 60,
["id"] = "918hrH_0501_1531",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 13.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 8 },
["render"] = "\\frac{107}{8}",
["typ"] = "cislo" },
["tex"] = "13\\frac{3}{8}",
["tex_float"] = "13{,}375",
["x"] = 13,
["y"] = 3,
["z"] = 8 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot 6}{10 + 2\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{7 \\cdot 6}{10 + 2\\frac{4}{9}}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.49, bodu=61, $$-11 + (10 + (-5) + (-7)) \cdot (-11 - 4\frac{2}{6})=\textcolor{white}{19\frac{2}{3}}$$return {
["body"] = 61,
["id"] = "EV6L9O_0501_1531",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 19.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 3 },
["render"] = "\\frac{59}{3}",
["typ"] = "cislo" },
["tex"] = "19\\frac{2}{3}",
["x"] = 19,
["y"] = 2,
["z"] = 3 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 + (-5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + (-5) + (-7)",
["typ"] = "plus" },
["render"] = "(10 + (-5) + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-11 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-11 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "(10 + (-5) + (-7)) \\cdot (-11 - 4\\frac{2}{6})",
["typ"] = "krat" },
["render"] = "-11 + (10 + (-5) + (-7)) \\cdot (-11 - 4\\frac{2}{6})",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.5, bodu=62, $$-13 + (-15 + 2\frac{4}{11}) \cdot -10 + (-5) - 10=\textcolor{white}{98\frac{4}{11}}$$return {
["body"] = 62,
["id"] = "2VgLC5_0501_1531",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 98.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1082,
["jmenovatel"] = 11 },
["render"] = "\\frac{1082}{11}",
["typ"] = "cislo" },
["tex"] = "98\\frac{4}{11}",
["x"] = 98,
["y"] = 4,
["z"] = 11 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-15 + 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(-15 + 2\\frac{4}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-15 + 2\\frac{4}{11}) \\cdot -10",
["typ"] = "krat" },
["render"] = "-13 + (-15 + 2\\frac{4}{11}) \\cdot -10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-13 + (-15 + 2\\frac{4}{11}) \\cdot -10 + (-5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 + (-15 + 2\\frac{4}{11}) \\cdot -10 + (-5) - 10",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.51, bodu=63, $$\frac{\frac{12}{3\frac{4}{8} + (-11)}}{\frac{14}{17}}=\textcolor{white}{-1\frac{33}{35}}$$return {
["body"] = 63,
["id"] = "8LqnX0_0501_1531",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -1.9428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 35 },
["render"] = "\\frac{-136}{70}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{33}{35}",
["x"] = -1,
["y"] = 33,
["z"] = 35 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{12}{3\\frac{4}{8} + (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{14}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{12}{3\\frac{4}{8} + (-11)}}{\\frac{14}{17}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.52, bodu=21, $$10 \cdot -15 - 6 + (-11 \cdot 11)=\textcolor{white}{-277}$$return {
["body"] = 21,
["id"] = "03VPIx_0501_1531",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -277,
["jmenovatel"] = 1 },
["render"] = "\\frac{-277}{1}",
["typ"] = "cislo" },
["tex"] = "-277",
["tex_float"] = "-277",
["x"] = -277 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "10 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 \\cdot -15 - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 11",
["typ"] = "krat" },
["render"] = "10 \\cdot -15 - 6 + (-11 \\cdot 11)",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.53, bodu=49, $$\frac{9}{\frac{12 - (-7)}{(13 + (-8))^3}}=\textcolor{white}{59\frac{4}{19}}$$return {
["body"] = 49,
["id"] = "UCO0aC_0501_1531",
["obtiznost"] = 0.5804,
["reseni"] = {
["float"] = 59.210526315789,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1125,
["jmenovatel"] = 19 },
["render"] = "\\frac{1125}{19}",
["typ"] = "cislo" },
["tex"] = "59\\frac{4}{19}",
["x"] = 59,
["y"] = 4,
["z"] = 19 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 - (-7)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(13 + (-8))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{12 - (-7)}{(13 + (-8))^3}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{12 - (-7)}{(13 + (-8))^3}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.54, bodu=92, $$\frac{\frac{1\frac{1}{6} \cdot 4\frac{5}{5}}{8}}{2\frac{3}{7}}=\textcolor{white}{\frac{245}{816}}$$return {
["body"] = 92,
["id"] = "flmmDE_0501_1531",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 0.30024509803922,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 816 },
["render"] = "\\frac{245}{816}",
["typ"] = "cislo" },
["tex"] = "\\frac{245}{816}",
["y"] = 245,
["z"] = 816 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 4\\frac{5}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6} \\cdot 4\\frac{5}{5}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{6} \\cdot 4\\frac{5}{5}}{8}}{2\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.55, bodu=68, $$3\frac{2}{6} + 5 - (-8 + (-7) - 14 \cdot 10)=\textcolor{white}{163\frac{1}{3}}$$return {
["body"] = 68,
["id"] = "7zONxt_0501_1531",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 163.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 490,
["jmenovatel"] = 3 },
["render"] = "\\frac{490}{3}",
["typ"] = "cislo" },
["tex"] = "163\\frac{1}{3}",
["x"] = 163,
["y"] = 1,
["z"] = 3 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "14 \\cdot 10",
["typ"] = "krat" },
["render"] = "-8 + (-7) - 14 \\cdot 10",
["typ"] = "minus" },
["render"] = "(-8 + (-7) - 14 \\cdot 10)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{6} + 5 - (-8 + (-7) - 14 \\cdot 10)",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.56, bodu=69, $$\frac{-11 \cdot 15}{\frac{11 + 3\frac{5}{10}}{14}}=\textcolor{white}{-159\frac{9}{29}}$$return {
["body"] = 69,
["id"] = "GWGr7j_0501_1531",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -159.31034482759,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4620,
["jmenovatel"] = 29 },
["render"] = "\\frac{-4620}{29}",
["typ"] = "cislo" },
["tex"] = "-159\\frac{9}{29}",
["x"] = -159,
["y"] = 9,
["z"] = 29 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 3\\frac{5}{10}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 \\cdot 15}{\\frac{11 + 3\\frac{5}{10}}{14}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.57, bodu=123, $$3\frac{4}{10} \cdot 4\frac{2}{7} - (10 - 3\frac{3}{10} + 10)=\textcolor{white}{-2\frac{9}{70}}$$return {
["body"] = 123,
["id"] = "Bzltd2_0501_1531",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -2.1285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -149,
["jmenovatel"] = 70 },
["render"] = "\\frac{-149}{70}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{9}{70}",
["x"] = -2,
["y"] = 9,
["z"] = 70 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{3}{10} + 10",
["typ"] = "plus" },
["render"] = "(10 - 3\\frac{3}{10} + 10)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} \\cdot 4\\frac{2}{7} - (10 - 3\\frac{3}{10} + 10)",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.58, bodu=71, $$9 + \frac{\frac{-7}{9}}{8 + 3\frac{4}{7}}=\textcolor{white}{8\frac{680}{729}}$$return {
["body"] = 71,
["id"] = "RfmpnU_0501_1531",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 8.9327846364883,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6512,
["jmenovatel"] = 729 },
["render"] = "\\frac{6512}{729}",
["typ"] = "cislo" },
["tex"] = "8\\frac{680}{729}",
["x"] = 8,
["y"] = 680,
["z"] = 729 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-7}{9}}{8 + 3\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{\\frac{-7}{9}}{8 + 3\\frac{4}{7}}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.59, bodu=73, $$\frac{-10 \cdot (14 - (-11))}{\frac{1\frac{1}{2}}{-14}}=\textcolor{white}{2333\frac{1}{3}}$$return {
["body"] = 73,
["id"] = "c5Ugit_0501_1531",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 2333.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7000,
["jmenovatel"] = 3 },
["render"] = "\\frac{-7000}{-3}",
["typ"] = "cislo" },
["tex"] = "2333\\frac{1}{3}",
["x"] = 2333,
["y"] = 1,
["z"] = 3 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 - (-11)",
["typ"] = "minus" },
["render"] = "(14 - (-11))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (14 - (-11))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{2}}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10 \\cdot (14 - (-11))}{\\frac{1\\frac{1}{2}}{-14}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.6, bodu=100, $$-13 \cdot 4\frac{5}{9} \cdot -15 - (-12 \cdot 2\frac{2}{7})=\textcolor{white}{915\frac{16}{21}}$$return {
["body"] = 100,
["id"] = "itJXOf_0501_1531",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 915.7619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19231,
["jmenovatel"] = 21 },
["render"] = "\\frac{19231}{21}",
["typ"] = "cislo" },
["tex"] = "915\\frac{16}{21}",
["x"] = 915,
["y"] = 16,
["z"] = 21 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{5}{9} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-13 \\cdot 4\\frac{5}{9} \\cdot -15 - (-12 \\cdot 2\\frac{2}{7})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.61, bodu=86, $$\frac{1\frac{4}{9}}{-11 \cdot 16} \cdot (7 + (-13))^3=\textcolor{white}{1\frac{17}{22}}$$return {
["body"] = 86,
["id"] = "UUfxQI_0501_1531",
["obtiznost"] = 0.8968,
["reseni"] = {
["float"] = 1.7727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 22 },
["render"] = "\\frac{2808}{1584}",
["typ"] = "cislo" },
["tex"] = "1\\frac{17}{22}",
["x"] = 1,
["y"] = 17,
["z"] = 22 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{9}}{-11 \\cdot 16}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(7 + (-13))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{4}{9}}{-11 \\cdot 16} \\cdot (7 + (-13))^3",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.62, bodu=76, $$2\frac{2}{8} \cdot -7 \cdot -17 \cdot (9 - (-17))=\textcolor{white}{6961{,}5}$$return {
["body"] = 76,
["id"] = "yF4LwB_0501_1531",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 6961.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13923,
["jmenovatel"] = 2 },
["render"] = "\\frac{27846}{4}",
["typ"] = "cislo" },
["tex"] = "6961\\frac{1}{2}",
["tex_float"] = "6961{,}5",
["x"] = 6961,
["y"] = 1,
["z"] = 2 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -7 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "9 - (-17)",
["typ"] = "minus" },
["render"] = "(9 - (-17))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{8} \\cdot -7 \\cdot -17 \\cdot (9 - (-17))",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.63, bodu=132, $$\frac{2\frac{2}{9}}{2\frac{4}{12}} - \frac{7 \cdot -13}{2\frac{1}{8}}=\textcolor{white}{43\frac{277}{357}}$$return {
["body"] = 132,
["id"] = "rMHTjK_0501_1531",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 43.775910364146,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15628,
["jmenovatel"] = 357 },
["render"] = "\\frac{15628}{357}",
["typ"] = "cislo" },
["tex"] = "43\\frac{277}{357}",
["x"] = 43,
["y"] = 277,
["z"] = 357 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -13}{2\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{9}}{2\\frac{4}{12}} - \\frac{7 \\cdot -13}{2\\frac{1}{8}}",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.64, bodu=61, $$(\frac{-11 - (-8)}{11})^2 - 11 \cdot -18=\textcolor{white}{198\frac{9}{121}}$$return {
["body"] = 61,
["id"] = "s0kxaM_0501_1531",
["obtiznost"] = 0.692,
["reseni"] = {
["float"] = 198.07438016529,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23967,
["jmenovatel"] = 121 },
["render"] = "\\frac{23967}{121}",
["typ"] = "cislo" },
["tex"] = "198\\frac{9}{121}",
["x"] = 198,
["y"] = 9,
["z"] = 121 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-11 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (-8)}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11 - (-8)}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "11 \\cdot -18",
["typ"] = "krat" },
["render"] = "(\\frac{-11 - (-8)}{11})^2 - 11 \\cdot -18",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.65, bodu=106, $$\frac{1\frac{1}{9} - (-12)}{-12} - \frac{1\frac{1}{7}}{-17}=\textcolor{white}{-1\frac{163}{6426}}$$return {
["body"] = 106,
["id"] = "6KFZ8S_0501_1531",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -1.0253657018363,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6589,
["jmenovatel"] = 6426 },
["render"] = "\\frac{-6589}{6426}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{163}{6426}",
["x"] = -1,
["y"] = 163,
["z"] = 6426 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9} - (-12)}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{-17}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{1}{9} - (-12)}{-12} - \\frac{1\\frac{1}{7}}{-17}",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.66, bodu=108, $$8 \cdot (-2 - 2\frac{3}{11}) \cdot 4\frac{3}{6} \cdot -14=\textcolor{white}{2153\frac{5}{11}}$$return {
["body"] = 108,
["id"] = "LrCPTp_0501_1531",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 2153.4545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23688,
["jmenovatel"] = 11 },
["render"] = "\\frac{23688}{11}",
["typ"] = "cislo" },
["tex"] = "2153\\frac{5}{11}",
["x"] = 2153,
["y"] = 5,
["z"] = 11 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-2 - 2\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(-2 - 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-2 - 2\\frac{3}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "8 \\cdot (-2 - 2\\frac{3}{11}) \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "8 \\cdot (-2 - 2\\frac{3}{11}) \\cdot 4\\frac{3}{6} \\cdot -14",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.67, bodu=217, $$\frac{(1\frac{5}{10} - 4\frac{5}{8})^2}{\frac{4\frac{1}{9}}{4\frac{5}{9}}} \cdot 4=\textcolor{white}{43\frac{169}{592}}$$return {
["body"] = 217,
["id"] = "cThQb1_0501_1531",
["obtiznost"] = 1.7456,
["reseni"] = {
["float"] = 43.285472972973,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25625,
["jmenovatel"] = 592 },
["render"] = "\\frac{102500}{2368}",
["typ"] = "cislo" },
["tex"] = "43\\frac{169}{592}",
["x"] = 43,
["y"] = 169,
["z"] = 592 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 4\\frac{5}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{10} - 4\\frac{5}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(1\\frac{5}{10} - 4\\frac{5}{8})^2}{\\frac{4\\frac{1}{9}}{4\\frac{5}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{5}{10} - 4\\frac{5}{8})^2}{\\frac{4\\frac{1}{9}}{4\\frac{5}{9}}} \\cdot 4",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.68, bodu=111, $$2\frac{2}{5} \cdot (3\frac{4}{10} - \frac{16}{19} + 5 + 19)=\textcolor{white}{63\frac{351}{475}}$$return {
["body"] = 111,
["id"] = "LFGp1X_0501_1531",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 63.738947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30276,
["jmenovatel"] = 475 },
["render"] = "\\frac{30276}{475}",
["typ"] = "cislo" },
["tex"] = "63\\frac{351}{475}",
["x"] = 63,
["y"] = 351,
["z"] = 475 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{16}{19}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{10} - \\frac{16}{19}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "5 + 19",
["typ"] = "plus" },
["render"] = "3\\frac{4}{10} - \\frac{16}{19} + 5 + 19",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} - \\frac{16}{19} + 5 + 19)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} \\cdot (3\\frac{4}{10} - \\frac{16}{19} + 5 + 19)",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.69, bodu=64, $$\frac{8 \cdot -3}{(8 + (9 - 9)^4)^2 + (-16)}=\textcolor{white}{-0{,}5}$$return {
["body"] = 64,
["id"] = "wbCvSZ_0501_1531",
["obtiznost"] = 0.7164,
["reseni"] = {
["float"] = -0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 2 },
["render"] = "\\frac{-24}{48}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{2}",
["tex_float"] = "-0{,}5",
["y"] = -1,
["z"] = 2 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 9)^4",
["typ"] = "mocnina" },
["render"] = "8 + (9 - 9)^4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + (9 - 9)^4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(8 + (9 - 9)^4)^2 + (-16)",
["typ"] = "plus" },
["render"] = "\\frac{8 \\cdot -3}{(8 + (9 - 9)^4)^2 + (-16)}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.7, bodu=87, $$\frac{1\frac{4}{11} - (-14 - (-12))^4}{14 \cdot -15}=\textcolor{white}{\frac{23}{330}}$$return {
["body"] = 87,
["id"] = "CNKO8q_0501_1531",
["obtiznost"] = 0.9068,
["reseni"] = {
["float"] = 0.06969696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 330 },
["render"] = "\\frac{-161}{-2310}",
["typ"] = "cislo" },
["tex"] = "\\frac{23}{330}",
["y"] = 23,
["z"] = 330 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-14 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-14 - (-12))^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{4}{11} - (-14 - (-12))^4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "14 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{11} - (-14 - (-12))^4}{14 \\cdot -15}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.71, bodu=116, $$(\frac{-15}{6})^2 \cdot (-11 + \frac{12 + 3\frac{2}{7}}{3\frac{2}{11}})=\textcolor{white}{-38\frac{71}{98}}$$return {
["body"] = 116,
["id"] = "22oU3Z_0501_1531",
["obtiznost"] = 1.1216,
["reseni"] = {
["float"] = -38.724489795918,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3795,
["jmenovatel"] = 98 },
["render"] = "\\frac{-37950}{980}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{71}{98}",
["x"] = -38,
["y"] = 71,
["z"] = 98 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.71",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 3\\frac{2}{7}}{3\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{12 + 3\\frac{2}{7}}{3\\frac{2}{11}}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{12 + 3\\frac{2}{7}}{3\\frac{2}{11}})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-15}{6})^2 \\cdot (-11 + \\frac{12 + 3\\frac{2}{7}}{3\\frac{2}{11}})",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.72, bodu=158, $$\frac{(-6 + (-8))^2 + 11}{4\frac{4}{11} - (4\frac{5}{10} - (11 + 3\frac{4}{12}))}=\textcolor{white}{14\frac{544}{937}}$$return {
["body"] = 158,
["id"] = "Tw9ge4_0501_1531",
["obtiznost"] = 1.3988,
["reseni"] = {
["float"] = 14.580576307364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13662,
["jmenovatel"] = 937 },
["render"] = "\\frac{13662}{937}",
["typ"] = "cislo" },
["tex"] = "14\\frac{544}{937}",
["x"] = 14,
["y"] = 544,
["z"] = 937 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-6 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-6 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-6 + (-8))^2 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(11 + 3\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} - (11 + 3\\frac{4}{12})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{10} - (11 + 3\\frac{4}{12}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{11} - (4\\frac{5}{10} - (11 + 3\\frac{4}{12}))",
["typ"] = "minus" },
["render"] = "\\frac{(-6 + (-8))^2 + 11}{4\\frac{4}{11} - (4\\frac{5}{10} - (11 + 3\\frac{4}{12}))}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.73, bodu=148, $$-15 - 12 + 2\frac{3}{9} - (2\frac{3}{8} - \frac{4\frac{1}{3}}{-16})=\textcolor{white}{-27\frac{5}{16}}$$return {
["body"] = 148,
["id"] = "yumxPa_0501_1531",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -27.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -437,
["jmenovatel"] = 16 },
["render"] = "\\frac{-3933}{144}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{5}{16}",
["x"] = -27,
["y"] = 5,
["z"] = 16 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-15 - 12 + 2\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{3}}{-16}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{8} - \\frac{4\\frac{1}{3}}{-16}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{8} - \\frac{4\\frac{1}{3}}{-16})",
["typ"] = "zavorka" },
["render"] = "-15 - 12 + 2\\frac{3}{9} - (2\\frac{3}{8} - \\frac{4\\frac{1}{3}}{-16})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.74, bodu=92, $$\frac{-12}{\frac{-13}{2\frac{4}{8}} + (-17)} \cdot 9=\textcolor{white}{4\frac{32}{37}}$$return {
["body"] = 92,
["id"] = "5ILbUW_0501_1531",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 4.8648648648649,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 37 },
["render"] = "\\frac{180}{37}",
["typ"] = "cislo" },
["tex"] = "4\\frac{32}{37}",
["x"] = 4,
["y"] = 32,
["z"] = 37 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{4}{8}} + (-17)",
["typ"] = "plus" },
["render"] = "\\frac{-12}{\\frac{-13}{2\\frac{4}{8}} + (-17)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{\\frac{-13}{2\\frac{4}{8}} + (-17)} \\cdot 9",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.75, bodu=151, $$19 + \frac{2\frac{5}{12} + 6 - 3\frac{4}{7} - 15}{4\frac{4}{7}}=\textcolor{white}{16\frac{299}{384}}$$return {
["body"] = 151,
["id"] = "B8XR0T_0501_1531",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 16.778645833333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6443,
["jmenovatel"] = 384 },
["render"] = "\\frac{6443}{384}",
["typ"] = "cislo" },
["tex"] = "16\\frac{299}{384}",
["x"] = 16,
["y"] = 299,
["z"] = 384 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 6 - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 6 - 3\\frac{4}{7} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} + 6 - 3\\frac{4}{7} - 15}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "19 + \\frac{2\\frac{5}{12} + 6 - 3\\frac{4}{7} - 15}{4\\frac{4}{7}}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.76, bodu=122, $$3\frac{2}{10} \cdot \frac{-11}{\frac{-16 \cdot 15}{1\frac{4}{8}}}=\textcolor{white}{0{,}22}$$return {
["body"] = 122,
["id"] = "M5WnDU_0501_1531",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 0.22,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 50 },
["render"] = "\\frac{176}{800}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{50}",
["tex_float"] = "0{,}22",
["y"] = 11,
["z"] = 50 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 \\cdot 15}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{-16 \\cdot 15}{1\\frac{4}{8}}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{10} \\cdot \\frac{-11}{\\frac{-16 \\cdot 15}{1\\frac{4}{8}}}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.77, bodu=143, $$(\frac{(\frac{-7}{11 + 1\frac{3}{6}})^2}{15} \cdot (19 + (-19))^2)^2=\textcolor{white}{0}$$return {
["body"] = 143,
["id"] = "8u62pq_0501_1531",
["obtiznost"] = 1.2992,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.77",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-7}{11 + 1\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{11 + 1\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-7}{11 + 1\\frac{3}{6}})^2}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "19 + (-19)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 + (-19))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{-7}{11 + 1\\frac{3}{6}})^2}{15} \\cdot (19 + (-19))^2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{(\\frac{-7}{11 + 1\\frac{3}{6}})^2}{15} \\cdot (19 + (-19))^2)^2",
["typ"] = "mocnina" } }
seed: ThmIFo4rXTJvWge65DHF_0.78, bodu=126, $$(2\frac{1}{4} + (-13)) \cdot \frac{12}{1\frac{3}{5} + (\frac{-14}{-7})^4}=\textcolor{white}{-7\frac{29}{88}}$$return {
["body"] = 126,
["id"] = "cygq1T_0501_1531",
["obtiznost"] = 1.1868,
["reseni"] = {
["float"] = -7.3295454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -645,
["jmenovatel"] = 88 },
["render"] = "\\frac{-645}{88}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{29}{88}",
["x"] = -7,
["y"] = 29,
["z"] = 88 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + (-13)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{4} + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-14}{-7})^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{5} + (\\frac{-14}{-7})^4",
["typ"] = "plus" },
["render"] = "\\frac{12}{1\\frac{3}{5} + (\\frac{-14}{-7})^4}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{4} + (-13)) \\cdot \\frac{12}{1\\frac{3}{5} + (\\frac{-14}{-7})^4}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.79, bodu=170, $$-8 \cdot -6 \cdot (4\frac{2}{4} - 4\frac{4}{14})^2 - 2\frac{2}{8}=\textcolor{white}{-\frac{9}{196}}$$return {
["body"] = 170,
["id"] = "shdRnt_0501_1531",
["obtiznost"] = 1.472,
["reseni"] = {
["float"] = -0.045918367346939,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 196 },
["render"] = "\\frac{-9}{196}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{196}",
["y"] = -9,
["z"] = 196 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} - 4\\frac{4}{14}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{4} - 4\\frac{4}{14})^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot -6 \\cdot (4\\frac{2}{4} - 4\\frac{4}{14})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -6 \\cdot (4\\frac{2}{4} - 4\\frac{4}{14})^2 - 2\\frac{2}{8}",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.8, bodu=224, $$\frac{(\frac{1\frac{2}{6}}{-7})^2}{(4\frac{3}{7} + 3\frac{3}{10}) \cdot (7 - 2\frac{2}{7})}=\textcolor{white}{\frac{160}{160677}}$$return {
["body"] = 224,
["id"] = "GzMWFD_0501_1531",
["obtiznost"] = 1.7828,
["reseni"] = {
["float"] = 0.00099578657804166,
["objekt"] = {
["hodnota"] = {
["citatel"] = 160,
["jmenovatel"] = 160677 },
["render"] = "\\frac{7840}{7873173}",
["typ"] = "cislo" },
["tex"] = "\\frac{160}{160677}",
["y"] = 160,
["z"] = 160677 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.8",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{2}{6}}{-7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 3\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 3\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(7 - 2\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{7} + 3\\frac{3}{10}) \\cdot (7 - 2\\frac{2}{7})",
["typ"] = "krat" },
["render"] = "\\frac{(\\frac{1\\frac{2}{6}}{-7})^2}{(4\\frac{3}{7} + 3\\frac{3}{10}) \\cdot (7 - 2\\frac{2}{7})}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.81, bodu=120, $$(-7 - 10)^2 \cdot \frac{(-16 + 9)^2 \cdot (-9 + (-18))}{1\frac{5}{11}}=\textcolor{white}{-262863\frac{9}{16}}$$return {
["body"] = 120,
["id"] = "vkiYG4_0501_1531",
["obtiznost"] = 1.146,
["reseni"] = {
["float"] = -262863.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4205817,
["jmenovatel"] = 16 },
["render"] = "\\frac{-4205817}{16}",
["typ"] = "cislo" },
["tex"] = "-262863\\frac{9}{16}",
["x"] = -262863,
["y"] = 9,
["z"] = 16 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.81",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-16 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-16 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-9 + (-18)",
["typ"] = "plus" },
["render"] = "(-9 + (-18))",
["typ"] = "zavorka" },
["render"] = "(-16 + 9)^2 \\cdot (-9 + (-18))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{(-16 + 9)^2 \\cdot (-9 + (-18))}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "(-7 - 10)^2 \\cdot \\frac{(-16 + 9)^2 \\cdot (-9 + (-18))}{1\\frac{5}{11}}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.82, bodu=131, $$\frac{\frac{13}{12} \cdot 12}{1\frac{1}{3}} \cdot 4\frac{4}{10}=\textcolor{white}{42{,}9}$$return {
["body"] = 131,
["id"] = "OFIDmu_0501_1531",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 42.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 429,
["jmenovatel"] = 10 },
["render"] = "\\frac{858}{20}",
["typ"] = "cislo" },
["tex"] = "42\\frac{9}{10}",
["tex_float"] = "42{,}9",
["x"] = 42,
["y"] = 9,
["z"] = 10 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{13}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{13}{12} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{12} \\cdot 12}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{12} \\cdot 12}{1\\frac{1}{3}} \\cdot 4\\frac{4}{10}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.83, bodu=163, $$\frac{\frac{-12}{4\frac{1}{7}}}{\frac{2\frac{1}{11}}{-6 - (-10)} - 4\frac{4}{6}}=\textcolor{white}{\frac{11088}{15863}}$$return {
["body"] = 163,
["id"] = "VRwqMr_0501_1531",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 0.69898505957259,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11088,
["jmenovatel"] = 15863 },
["render"] = "\\frac{-11088}{-15863}",
["typ"] = "cislo" },
["tex"] = "\\frac{11088}{15863}",
["y"] = 11088,
["z"] = 15863 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{11}}{-6 - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{11}}{-6 - (-10)} - 4\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-12}{4\\frac{1}{7}}}{\\frac{2\\frac{1}{11}}{-6 - (-10)} - 4\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.84, bodu=159, $$3\frac{2}{11} \cdot 4\frac{4}{11} \cdot (\frac{-7 - (-11)}{7})^3 \cdot 12=\textcolor{white}{31\frac{521}{5929}}$$return {
["body"] = 159,
["id"] = "cUcVlP_0501_1531",
["obtiznost"] = 1.4028,
["reseni"] = {
["float"] = 31.087873165795,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184320,
["jmenovatel"] = 5929 },
["render"] = "\\frac{1290240}{41503}",
["typ"] = "cislo" },
["tex"] = "31\\frac{521}{5929}",
["x"] = 31,
["y"] = 521,
["z"] = 5929 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-7 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - (-11)}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7 - (-11)}{7})^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{11} \\cdot (\\frac{-7 - (-11)}{7})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} \\cdot (\\frac{-7 - (-11)}{7})^3 \\cdot 12",
["typ"] = "krat" },
["render"] = "3\\frac{2}{11} \\cdot 4\\frac{4}{11} \\cdot (\\frac{-7 - (-11)}{7})^3 \\cdot 12",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.85, bodu=229, $$\frac{\frac{2\frac{4}{14}}{3\frac{4}{11} - 22}}{(4\frac{2}{7} - 7)^2 \cdot 1\frac{2}{3}}=\textcolor{white}{-\frac{3696}{370025}}$$return {
["body"] = 229,
["id"] = "i8EoTF_0501_1531",
["obtiznost"] = 1.814,
["reseni"] = {
["float"] = -0.009988514289575,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3696,
["jmenovatel"] = 370025 },
["render"] = "\\frac{-25872}{2590175}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3696}{370025}",
["y"] = -3696,
["z"] = 370025 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 22",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{14}}{3\\frac{4}{11} - 22}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{7} - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{7} - 7)^2 \\cdot 1\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{2\\frac{4}{14}}{3\\frac{4}{11} - 22}}{(4\\frac{2}{7} - 7)^2 \\cdot 1\\frac{2}{3}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.86, bodu=137, $$\frac{8 \cdot 1\frac{5}{11} \cdot 14}{18 - 3\frac{3}{5} \cdot 13}=\textcolor{white}{-5\frac{65}{99}}$$return {
["body"] = 137,
["id"] = "8ktPSl_0501_1531",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -5.6565656565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = -560,
["jmenovatel"] = 99 },
["render"] = "\\frac{8960}{-1584}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{65}{99}",
["x"] = -5,
["y"] = 65,
["z"] = 99 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{5}{11} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 13",
["typ"] = "krat" },
["render"] = "18 - 3\\frac{3}{5} \\cdot 13",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot 1\\frac{5}{11} \\cdot 14}{18 - 3\\frac{3}{5} \\cdot 13}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.87, bodu=278, $$4\frac{5}{9} - 2\frac{1}{4} + 4\frac{3}{12} + (-14 + 3\frac{3}{8} - (10 + 2\frac{2}{6} + 1\frac{3}{9}))=\textcolor{white}{-17\frac{53}{72}}$$return {
["body"] = 278,
["id"] = "TcXKeB_0501_1531",
["obtiznost"] = 2.07,
["reseni"] = {
["float"] = -17.736111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1277,
["jmenovatel"] = 72 },
["render"] = "\\frac{-3831}{216}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{53}{72}",
["x"] = -17,
["y"] = 53,
["z"] = 72 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 2\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 2\\frac{1}{4} + 4\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{2}{6} + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(10 + 2\\frac{2}{6} + 1\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "-14 + 3\\frac{3}{8} - (10 + 2\\frac{2}{6} + 1\\frac{3}{9})",
["typ"] = "minus" },
["render"] = "4\\frac{5}{9} - 2\\frac{1}{4} + 4\\frac{3}{12} + (-14 + 3\\frac{3}{8} - (10 + 2\\frac{2}{6} + 1\\frac{3}{9}))",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.88, bodu=172, $$\frac{-19 \cdot 10 + (-18 + (-22))}{3\frac{2}{9} + \frac{3\frac{5}{8}}{1\frac{4}{11}}}=\textcolor{white}{-39\frac{237}{2117}}$$return {
["body"] = 172,
["id"] = "o7GdC9_0501_1531",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -39.111950873878,
["objekt"] = {
["hodnota"] = {
["citatel"] = -82800,
["jmenovatel"] = 2117 },
["render"] = "\\frac{-82800}{2117}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{237}{2117}",
["x"] = -39,
["y"] = 237,
["z"] = 2117 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "-18 + (-22)",
["typ"] = "plus" },
["render"] = "-19 \\cdot 10 + (-18 + (-22))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{9} + \\frac{3\\frac{5}{8}}{1\\frac{4}{11}}",
["typ"] = "plus" },
["render"] = "\\frac{-19 \\cdot 10 + (-18 + (-22))}{3\\frac{2}{9} + \\frac{3\\frac{5}{8}}{1\\frac{4}{11}}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.89, bodu=281, $$3\frac{4}{8} \cdot 3\frac{3}{7} - (3\frac{1}{5} + 3\frac{4}{12} + (-14 + 3\frac{4}{6} - 3\frac{1}{7}))=\textcolor{white}{18\frac{33}{35}}$$return {
["body"] = 281,
["id"] = "m8z7Qo_0501_1531",
["obtiznost"] = 2.09,
["reseni"] = {
["float"] = 18.942857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 663,
["jmenovatel"] = 35 },
["render"] = "\\frac{663}{35}",
["typ"] = "cislo" },
["tex"] = "18\\frac{33}{35}",
["x"] = 18,
["y"] = 33,
["z"] = 35 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} + 3\\frac{4}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{4}{6} - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{5} + 3\\frac{4}{12} + (-14 + 3\\frac{4}{6} - 3\\frac{1}{7})",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{5} + 3\\frac{4}{12} + (-14 + 3\\frac{4}{6} - 3\\frac{1}{7}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{8} \\cdot 3\\frac{3}{7} - (3\\frac{1}{5} + 3\\frac{4}{12} + (-14 + 3\\frac{4}{6} - 3\\frac{1}{7}))",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.9, bodu=143, $$\frac{18}{10 - 2\frac{1}{10}} \cdot (-17 - 17) \cdot 2\frac{3}{13}=\textcolor{white}{-172\frac{836}{1027}}$$return {
["body"] = 143,
["id"] = "lcb2E1_0501_1531",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -172.81402142162,
["objekt"] = {
["hodnota"] = {
["citatel"] = -177480,
["jmenovatel"] = 1027 },
["render"] = "\\frac{-177480}{1027}",
["typ"] = "cislo" },
["tex"] = "-172\\frac{836}{1027}",
["x"] = -172,
["y"] = 836,
["z"] = 1027 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "\\frac{18}{10 - 2\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-17 - 17",
["typ"] = "minus" },
["render"] = "(-17 - 17)",
["typ"] = "zavorka" },
["render"] = "\\frac{18}{10 - 2\\frac{1}{10}} \\cdot (-17 - 17)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{10 - 2\\frac{1}{10}} \\cdot (-17 - 17) \\cdot 2\\frac{3}{13}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.91, bodu=176, $$-11 - (19 + (-21 - 11) - 3\frac{4}{12} + 2\frac{3}{10} - 4\frac{4}{9})=\textcolor{white}{7\frac{43}{90}}$$return {
["body"] = 176,
["id"] = "1fCIA5_0501_1531",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 7.4777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 673,
["jmenovatel"] = 90 },
["render"] = "\\frac{673}{90}",
["typ"] = "cislo" },
["tex"] = "7\\frac{43}{90}",
["x"] = 7,
["y"] = 43,
["z"] = 90 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-21 - 11",
["typ"] = "minus" },
["render"] = "19 + (-21 - 11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "19 + (-21 - 11) - 3\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 4\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "19 + (-21 - 11) - 3\\frac{4}{12} + 2\\frac{3}{10} - 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(19 + (-21 - 11) - 3\\frac{4}{12} + 2\\frac{3}{10} - 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-11 - (19 + (-21 - 11) - 3\\frac{4}{12} + 2\\frac{3}{10} - 4\\frac{4}{9})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.92, bodu=293, $$3\frac{3}{10} - 3\frac{4}{7} - ((-14 - 10)^2 \cdot (3\frac{4}{7} + 3\frac{3}{9}) + 4\frac{2}{7})=\textcolor{white}{-3981{,}7}$$return {
["body"] = 293,
["id"] = "nhLo6I_0501_1531",
["obtiznost"] = 2.1508,
["reseni"] = {
["float"] = -3981.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39817,
["jmenovatel"] = 10 },
["render"] = "\\frac{-1951033}{490}",
["typ"] = "cislo" },
["tex"] = "-3981\\frac{7}{10}",
["tex_float"] = "-3981{,}7",
["x"] = -3981,
["y"] = 7,
["z"] = 10 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-14 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "(-14 - 10)^2 \\cdot (3\\frac{4}{7} + 3\\frac{3}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(-14 - 10)^2 \\cdot (3\\frac{4}{7} + 3\\frac{3}{9}) + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "((-14 - 10)^2 \\cdot (3\\frac{4}{7} + 3\\frac{3}{9}) + 4\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{10} - 3\\frac{4}{7} - ((-14 - 10)^2 \\cdot (3\\frac{4}{7} + 3\\frac{3}{9}) + 4\\frac{2}{7})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.93, bodu=164, $$\frac{-14 - (12 - 8)^4 \cdot 4\frac{1}{7}}{15 + 3\frac{5}{12}}=\textcolor{white}{-58\frac{538}{1547}}$$return {
["body"] = 164,
["id"] = "ZbJMwN_0501_1531",
["obtiznost"] = 1.4328,
["reseni"] = {
["float"] = -58.347769877182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90264,
["jmenovatel"] = 1547 },
["render"] = "\\frac{-90264}{1547}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{538}{1547}",
["x"] = -58,
["y"] = 538,
["z"] = 1547 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(12 - 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(12 - 8)^4 \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "-14 - (12 - 8)^4 \\cdot 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "15 + 3\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "\\frac{-14 - (12 - 8)^4 \\cdot 4\\frac{1}{7}}{15 + 3\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.94, bodu=181, $$5 - 3\frac{3}{10} + \frac{-7 \cdot 1\frac{5}{11} \cdot 2\frac{4}{11}}{-21}=\textcolor{white}{2\frac{3071}{3630}}$$return {
["body"] = 181,
["id"] = "zasT6q_0501_1531",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 2.8460055096419,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10331,
["jmenovatel"] = 3630 },
["render"] = "\\frac{10331}{3630}",
["typ"] = "cislo" },
["tex"] = "2\\frac{3071}{3630}",
["x"] = 2,
["y"] = 3071,
["z"] = 3630 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "5 - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{5}{11} \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 1\\frac{5}{11} \\cdot 2\\frac{4}{11}}{-21}",
["typ"] = "lomeno" },
["render"] = "5 - 3\\frac{3}{10} + \\frac{-7 \\cdot 1\\frac{5}{11} \\cdot 2\\frac{4}{11}}{-21}",
["typ"] = "plus" } }
seed: ThmIFo4rXTJvWge65DHF_0.95, bodu=246, $$\frac{-16 + \frac{(\frac{8}{-10})^4}{4\frac{2}{7}}}{-16 + 2\frac{3}{9} + 1\frac{1}{7}}=\textcolor{white}{1\frac{221853}{821875}}$$return {
["body"] = 246,
["id"] = "1LtMs3_0501_1531",
["obtiznost"] = 1.9024,
["reseni"] = {
["float"] = 1.2699352091255,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1043728,
["jmenovatel"] = 821875 },
["render"] = "\\frac{-3131184}{-2465625}",
["typ"] = "cislo" },
["tex"] = "1\\frac{221853}{821875}",
["x"] = 1,
["y"] = 221853,
["z"] = 821875 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["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"] = 4,
["render"] = "(\\frac{8}{-10})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8}{-10})^4}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{(\\frac{8}{-10})^4}{4\\frac{2}{7}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "-16 + 2\\frac{3}{9} + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-16 + \\frac{(\\frac{8}{-10})^4}{4\\frac{2}{7}}}{-16 + 2\\frac{3}{9} + 1\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: ThmIFo4rXTJvWge65DHF_0.96, bodu=220, $$1\frac{4}{12} \cdot 4\frac{2}{9} \cdot 3\frac{4}{5} - (2\frac{3}{7} + \frac{-17}{7})=\textcolor{white}{21\frac{53}{135}}$$return {
["body"] = 220,
["id"] = "Km9L3i_0501_1531",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 21.392592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2888,
["jmenovatel"] = 135 },
["render"] = "\\frac{2888}{135}",
["typ"] = "cislo" },
["tex"] = "21\\frac{53}{135}",
["x"] = 21,
["y"] = 53,
["z"] = 135 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot 3\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "1\\frac{4}{12} \\cdot 4\\frac{2}{9} \\cdot 3\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{7}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{7} + \\frac{-17}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} + \\frac{-17}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{12} \\cdot 4\\frac{2}{9} \\cdot 3\\frac{4}{5} - (2\\frac{3}{7} + \\frac{-17}{7})",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.97, bodu=236, $$4\frac{3}{15} \cdot 2\frac{5}{13} - (11 - ((3\frac{2}{6} + (-8))^2 + 12 - 3\frac{3}{10}))=\textcolor{white}{29\frac{577}{1170}}$$return {
["body"] = 236,
["id"] = "avQKXV_0501_1531",
["obtiznost"] = 1.852,
["reseni"] = {
["float"] = 29.493162393162,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34507,
["jmenovatel"] = 1170 },
["render"] = "\\frac{172535}{5850}",
["typ"] = "cislo" },
["tex"] = "29\\frac{577}{1170}",
["x"] = 29,
["y"] = 577,
["z"] = 1170 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{15} \\cdot 2\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{6} + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{6} + (-8))^2 + 12 - 3\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "((3\\frac{2}{6} + (-8))^2 + 12 - 3\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "11 - ((3\\frac{2}{6} + (-8))^2 + 12 - 3\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(11 - ((3\\frac{2}{6} + (-8))^2 + 12 - 3\\frac{3}{10}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{15} \\cdot 2\\frac{5}{13} - (11 - ((3\\frac{2}{6} + (-8))^2 + 12 - 3\\frac{3}{10}))",
["typ"] = "minus" } }
seed: ThmIFo4rXTJvWge65DHF_0.98, bodu=252, $$\frac{(3\frac{1}{5} - 2\frac{2}{6})^2 + (-13)}{-10} \cdot \frac{2\frac{2}{13}}{4\frac{5}{12}}=\textcolor{white}{\frac{224}{375}}$$return {
["body"] = 252,
["id"] = "EA11cy_0501_1531",
["obtiznost"] = 1.9376,
["reseni"] = {
["float"] = 0.59733333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 224,
["jmenovatel"] = 375 },
["render"] = "\\frac{463008}{775125}",
["typ"] = "cislo" },
["tex"] = "\\frac{224}{375}",
["y"] = 224,
["z"] = 375 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 2\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{5} - 2\\frac{2}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{5} - 2\\frac{2}{6})^2 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{1}{5} - 2\\frac{2}{6})^2 + (-13)}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 13 },
["render"] = "2\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{13}}{4\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3\\frac{1}{5} - 2\\frac{2}{6})^2 + (-13)}{-10} \\cdot \\frac{2\\frac{2}{13}}{4\\frac{5}{12}}",
["typ"] = "krat" } }
seed: ThmIFo4rXTJvWge65DHF_0.99, bodu=225, $$15 - (3\frac{5}{9} + 1\frac{3}{10} + 2\frac{2}{9} - (-3 - 4\frac{4}{11} \cdot 20))=\textcolor{white}{-82\frac{347}{990}}$$return {
["body"] = 225,
["id"] = "Q2cIDp_0501_1531",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -82.350505050505,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81527,
["jmenovatel"] = 990 },
["render"] = "\\frac{-81527}{990}",
["typ"] = "cislo" },
["tex"] = "-82\\frac{347}{990}",
["x"] = -82,
["y"] = 347,
["z"] = 990 },
["seed"] = "ThmIFo4rXTJvWge65DHF_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} + 1\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} \\cdot 20",
["typ"] = "krat" },
["render"] = "-3 - 4\\frac{4}{11} \\cdot 20",
["typ"] = "minus" },
["render"] = "(-3 - 4\\frac{4}{11} \\cdot 20)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} - (-3 - 4\\frac{4}{11} \\cdot 20)",
["typ"] = "minus" },
["render"] = "3\\frac{5}{9} + 1\\frac{3}{10} + 2\\frac{2}{9} - (-3 - 4\\frac{4}{11} \\cdot 20)",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{9} + 1\\frac{3}{10} + 2\\frac{2}{9} - (-3 - 4\\frac{4}{11} \\cdot 20))",
["typ"] = "zavorka" },
["render"] = "15 - (3\\frac{5}{9} + 1\\frac{3}{10} + 2\\frac{2}{9} - (-3 - 4\\frac{4}{11} \\cdot 20))",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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5ba.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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poehler.gif: 
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