- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: Uz2LLVV8psuNWmycu6YL_0, bodu=10, $$7 + 6 - \frac{7}{-11}=\textcolor{white}{13\frac{7}{11}}$$return {
["body"] = 10,
["id"] = "kzbRLQ_1204_0522",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 13.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 150,
["jmenovatel"] = 11 },
["render"] = "\\frac{150}{11}",
["typ"] = "cislo" },
["tex"] = "13\\frac{7}{11}",
["x"] = 13,
["y"] = 7,
["z"] = 11 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-11}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{7}{-11}",
["typ"] = "minus" },
["render"] = "7 + 6 - \\frac{7}{-11}",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.01, bodu=5, $$4 + ((5 - 4)^4 + 6 + (-5))^3=\textcolor{white}{12}$$return {
["body"] = 5,
["id"] = "k3oAMQ_1204_0522",
["obtiznost"] = 0.0144,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["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"] = 4,
["render"] = "(5 - 4)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 - 4)^4 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(5 - 4)^4 + 6 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "((5 - 4)^4 + 6 + (-5))^3",
["typ"] = "mocnina" },
["render"] = "4 + ((5 - 4)^4 + 6 + (-5))^3",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.02, bodu=5, $$(5 + (-8))^2 \cdot -5 \cdot 6=\textcolor{white}{-270}$$return {
["body"] = 5,
["id"] = "HIET0Y_1204_0522",
["obtiznost"] = 0.024,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -270,
["jmenovatel"] = 1 },
["render"] = "\\frac{-270}{1}",
["typ"] = "cislo" },
["tex"] = "-270",
["tex_float"] = "-270",
["x"] = -270 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(5 + (-8))^2 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 + (-8))^2 \\cdot -5 \\cdot 6",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.03, bodu=5, $$-7 + (-7 - 8) \cdot -2=\textcolor{white}{23}$$return {
["body"] = 5,
["id"] = "NZU9Za_1204_0522",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "\\frac{23}{1}",
["typ"] = "cislo" },
["tex"] = "23",
["tex_float"] = "23",
["x"] = 23 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["render"] = "(-7 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "(-7 - 8) \\cdot -2",
["typ"] = "krat" },
["render"] = "-7 + (-7 - 8) \\cdot -2",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.04, bodu=27, $$\frac{8}{(\frac{2}{9})^3}=\textcolor{white}{729}$$return {
["body"] = 27,
["id"] = "PzyPS3_1204_0522",
["obtiznost"] = 0.3348,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 1 },
["render"] = "\\frac{5832}{8}",
["typ"] = "cislo" },
["tex"] = "729",
["x"] = 729 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2}{9})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(\\frac{2}{9})^3}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.05, bodu=12, $$(\frac{5}{9} \cdot 6)^2=\textcolor{white}{11\frac{1}{9}}$$return {
["body"] = 12,
["id"] = "BFvhSv_1204_0522",
["obtiznost"] = 0.0936,
["reseni"] = {
["float"] = 11.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 9 },
["render"] = "\\frac{100}{9}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{9}",
["x"] = 11,
["y"] = 1,
["z"] = 9 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{9} \\cdot 6)^2",
["typ"] = "mocnina" } }
seed: Uz2LLVV8psuNWmycu6YL_0.06, bodu=11, $$\frac{6}{9} - 8 - 5=\textcolor{white}{-12\frac{1}{3}}$$return {
["body"] = 11,
["id"] = "v8d7UB_1204_0522",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -12.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 3 },
["render"] = "\\frac{-37}{3}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{1}{3}",
["x"] = -12,
["y"] = 1,
["z"] = 3 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9} - 8 - 5",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.07, bodu=11, $$\frac{6}{\frac{7}{-6}}=\textcolor{white}{-5\frac{1}{7}}$$return {
["body"] = 11,
["id"] = "KTKd0w_1204_0522",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -5.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 7 },
["render"] = "\\frac{36}{-7}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{7}",
["x"] = -5,
["y"] = 1,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{7}{-6}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.08, bodu=6, $$4 \cdot (4 + (-8))^3 \cdot 8=\textcolor{white}{-2048}$$return {
["body"] = 6,
["id"] = "ftDKkf_1204_0522",
["obtiznost"] = 0.106,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2048,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2048}{1}",
["typ"] = "cislo" },
["tex"] = "-2048",
["x"] = -2048 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4 + (-8))^3",
["typ"] = "mocnina" },
["render"] = "4 \\cdot (4 + (-8))^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 \\cdot (4 + (-8))^3 \\cdot 8",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.09, bodu=26, $$\frac{12 + (3 \cdot 8)^2}{-7}=\textcolor{white}{-84}$$return {
["body"] = 26,
["id"] = "JhaR4D_1204_0522",
["obtiznost"] = 0.3208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 1 },
["render"] = "\\frac{588}{-7}",
["typ"] = "cislo" },
["tex"] = "-84",
["tex_float"] = "-84",
["x"] = -84 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 \\cdot 8",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 8)^2",
["typ"] = "mocnina" },
["render"] = "12 + (3 \\cdot 8)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{12 + (3 \\cdot 8)^2}{-7}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.1, bodu=12, $$\frac{(9 - 8)^3}{-7 \cdot -10}=\textcolor{white}{\frac{1}{70}}$$return {
["body"] = 12,
["id"] = "e08p11_1204_0522",
["obtiznost"] = 0.1008,
["reseni"] = {
["float"] = 0.014285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 70 },
["render"] = "\\frac{1}{70}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{70}",
["y"] = 1,
["z"] = 70 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{(9 - 8)^3}{-7 \\cdot -10}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.11, bodu=37, $$(\frac{-7}{\frac{9}{-4}})^2=\textcolor{white}{9\frac{55}{81}}$$return {
["body"] = 37,
["id"] = "KPPAY6_1204_0522",
["obtiznost"] = 0.456,
["reseni"] = {
["float"] = 9.679012345679,
["objekt"] = {
["hodnota"] = {
["citatel"] = 784,
["jmenovatel"] = 81 },
["render"] = "\\frac{784}{81}",
["typ"] = "cislo" },
["tex"] = "9\\frac{55}{81}",
["x"] = 9,
["y"] = 55,
["z"] = 81 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{9}{-4}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{\\frac{9}{-4}})^2",
["typ"] = "mocnina" } }
seed: Uz2LLVV8psuNWmycu6YL_0.12, bodu=6, $$4 - 6 \cdot (7 - 9)=\textcolor{white}{16}$$return {
["body"] = 6,
["id"] = "AdlIEx_1204_0522",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["x"] = 16 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "(7 - 9)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (7 - 9)",
["typ"] = "krat" },
["render"] = "4 - 6 \\cdot (7 - 9)",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.13, bodu=7, $$4 - 9 + 3 - (-8)=\textcolor{white}{6}$$return {
["body"] = 7,
["id"] = "fNJFPj_1204_0522",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{1}",
["typ"] = "cislo" },
["tex"] = "6",
["x"] = 6 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["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"] = "4 - 9 + 3 - (-8)",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.14, bodu=27, $$9 \cdot \frac{2\frac{5}{7}}{5}=\textcolor{white}{4\frac{31}{35}}$$return {
["body"] = 27,
["id"] = "LvjEdV_1204_0522",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 4.8857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 171,
["jmenovatel"] = 35 },
["render"] = "\\frac{171}{35}",
["typ"] = "cislo" },
["tex"] = "4\\frac{31}{35}",
["x"] = 4,
["y"] = 31,
["z"] = 35 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{7}}{5}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{2\\frac{5}{7}}{5}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.15, bodu=28, $$12 + 3\frac{4}{7} - (9 - 8)=\textcolor{white}{14\frac{4}{7}}$$return {
["body"] = 28,
["id"] = "DKSMnr_1204_0522",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 14.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 102,
["jmenovatel"] = 7 },
["render"] = "\\frac{102}{7}",
["typ"] = "cislo" },
["tex"] = "14\\frac{4}{7}",
["x"] = 14,
["y"] = 4,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["render"] = "(9 - 8)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{7} - (9 - 8)",
["typ"] = "minus" },
["render"] = "12 + 3\\frac{4}{7} - (9 - 8)",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.16, bodu=29, $$8 \cdot 6 \cdot (-12 - 3\frac{4}{5})=\textcolor{white}{-758{,}4}$$return {
["body"] = 29,
["id"] = "AKh15k_1204_0522",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -758.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3792,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3792}{5}",
["typ"] = "cislo" },
["tex"] = "-758\\frac{2}{5}",
["tex_float"] = "-758{,}4",
["x"] = -758,
["y"] = 2,
["z"] = 5 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "(-12 - 3\\frac{4}{5})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 6 \\cdot (-12 - 3\\frac{4}{5})",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.17, bodu=38, $$(\frac{9}{-6} \cdot 6)^3=\textcolor{white}{-729}$$return {
["body"] = 38,
["id"] = "jIH31m_1204_0522",
["obtiznost"] = 0.462,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -729,
["jmenovatel"] = 1 },
["render"] = "\\frac{-729}{1}",
["typ"] = "cislo" },
["tex"] = "-729",
["x"] = -729 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.17",
["zadani"] = {
["c"] = {
["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} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{-6} \\cdot 6)^3",
["typ"] = "mocnina" } }
seed: Uz2LLVV8psuNWmycu6YL_0.18, bodu=8, $$9 - (6 - (-10)) - 7=\textcolor{white}{-14}$$return {
["body"] = 8,
["id"] = "YyG9fE_1204_0522",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14}{1}",
["typ"] = "cislo" },
["tex"] = "-14",
["x"] = -14 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "(6 - (-10))",
["typ"] = "zavorka" },
["render"] = "9 - (6 - (-10))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - (6 - (-10)) - 7",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.19, bodu=17, $$\frac{11}{\frac{8 + 3}{12}}=\textcolor{white}{12}$$return {
["body"] = 17,
["id"] = "pwLeDL_1204_0522",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{132}{11}",
["typ"] = "cislo" },
["tex"] = "12",
["tex_float"] = "12",
["x"] = 12 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 3}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{8 + 3}{12}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.2, bodu=9, $$(-2 - 8 \cdot 4) \cdot 3=\textcolor{white}{-102}$$return {
["body"] = 9,
["id"] = "wPtniA_1204_0522",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -102,
["jmenovatel"] = 1 },
["render"] = "\\frac{-102}{1}",
["typ"] = "cislo" },
["tex"] = "-102",
["x"] = -102 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.2",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4",
["typ"] = "krat" },
["render"] = "-2 - 8 \\cdot 4",
["typ"] = "minus" },
["render"] = "(-2 - 8 \\cdot 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-2 - 8 \\cdot 4) \\cdot 3",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.21, bodu=18, $$(7 + 9 - 6) \cdot \frac{8}{7}=\textcolor{white}{11\frac{3}{7}}$$return {
["body"] = 18,
["id"] = "zK3tj0_1204_0522",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 11.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 7 },
["render"] = "\\frac{80}{7}",
["typ"] = "cislo" },
["tex"] = "11\\frac{3}{7}",
["x"] = 11,
["y"] = 3,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["render"] = "7 + 9 - 6",
["typ"] = "plus" },
["render"] = "(7 + 9 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["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" },
["render"] = "(7 + 9 - 6) \\cdot \\frac{8}{7}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.22, bodu=9, $$-10 \cdot 11 + 6 + 7 - 6=\textcolor{white}{-103}$$return {
["body"] = 9,
["id"] = "Q0kDtF_1204_0522",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -103,
["jmenovatel"] = 1 },
["render"] = "\\frac{-103}{1}",
["typ"] = "cislo" },
["tex"] = "-103",
["x"] = -103 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 7 - 6",
["typ"] = "minus" },
["render"] = "-10 \\cdot 11 + 6 + 7 - 6",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.23, bodu=35, $$\frac{\frac{8}{11} + 8}{1\frac{3}{6}}=\textcolor{white}{5\frac{9}{11}}$$return {
["body"] = 35,
["id"] = "dlrtyQ_1204_0522",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 5.8181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 11 },
["render"] = "\\frac{192}{33}",
["typ"] = "cislo" },
["tex"] = "5\\frac{9}{11}",
["x"] = 5,
["y"] = 9,
["z"] = 11 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.23",
["zadani"] = {
["c1"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{11} + 8}{1\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.24, bodu=36, $$-4 \cdot (12 - (-6 - 1\frac{1}{5}))=\textcolor{white}{-76{,}8}$$return {
["body"] = 36,
["id"] = "859TSU_1204_0522",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -76.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -384,
["jmenovatel"] = 5 },
["render"] = "\\frac{-384}{5}",
["typ"] = "cislo" },
["tex"] = "-76\\frac{4}{5}",
["tex_float"] = "-76{,}8",
["x"] = -76,
["y"] = 4,
["z"] = 5 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-6 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(-6 - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "12 - (-6 - 1\\frac{1}{5})",
["typ"] = "minus" },
["render"] = "(12 - (-6 - 1\\frac{1}{5}))",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (12 - (-6 - 1\\frac{1}{5}))",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.25, bodu=37, $$13 - 3\frac{3}{8} \cdot 6 - 10=\textcolor{white}{-17{,}25}$$return {
["body"] = 37,
["id"] = "mITC26_1204_0522",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -17.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 4 },
["render"] = "\\frac{-69}{4}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{1}{4}",
["tex_float"] = "-17{,}25",
["x"] = -17,
["y"] = 1,
["z"] = 4 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot 6",
["typ"] = "krat" },
["render"] = "13 - 3\\frac{3}{8} \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{3}{8} \\cdot 6 - 10",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.26, bodu=10, $$11 \cdot (8 - 2 \cdot 8 + 9)^2=\textcolor{white}{11}$$return {
["body"] = 10,
["id"] = "hJnPKV_1204_0522",
["obtiznost"] = 0.2608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{11}{1}",
["typ"] = "cislo" },
["tex"] = "11",
["tex_float"] = "11",
["x"] = 11 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2 \\cdot 8",
["typ"] = "krat" },
["render"] = "8 - 2 \\cdot 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 2 \\cdot 8 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 - 2 \\cdot 8 + 9)^2",
["typ"] = "mocnina" },
["render"] = "11 \\cdot (8 - 2 \\cdot 8 + 9)^2",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.27, bodu=38, $$\frac{-4 \cdot 7}{\frac{8}{2\frac{4}{8}}}=\textcolor{white}{-8{,}75}$$return {
["body"] = 38,
["id"] = "mBVsBy_1204_0522",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -8.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 4 },
["render"] = "\\frac{-140}{16}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{3}{4}",
["tex_float"] = "-8{,}75",
["x"] = -8,
["y"] = 3,
["z"] = 4 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.27",
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4 \\cdot 7}{\\frac{8}{2\\frac{4}{8}}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.28, bodu=39, $$\frac{\frac{10 \cdot 10}{-7}}{3\frac{5}{8}}=\textcolor{white}{-3\frac{191}{203}}$$return {
["body"] = 39,
["id"] = "12bhRB_1204_0522",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -3.9408866995074,
["objekt"] = {
["hodnota"] = {
["citatel"] = -800,
["jmenovatel"] = 203 },
["render"] = "\\frac{-800}{203}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{191}{203}",
["x"] = -3,
["y"] = 191,
["z"] = 203 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 10}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 \\cdot 10}{-7}}{3\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.29, bodu=40, $$8 \cdot (\frac{11}{7} + 3\frac{3}{8})=\textcolor{white}{39\frac{4}{7}}$$return {
["body"] = 40,
["id"] = "tGXCu0_1204_0522",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 39.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 277,
["jmenovatel"] = 7 },
["render"] = "\\frac{2216}{56}",
["typ"] = "cislo" },
["tex"] = "39\\frac{4}{7}",
["x"] = 39,
["y"] = 4,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7} + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{11}{7} + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (\\frac{11}{7} + 3\\frac{3}{8})",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.3, bodu=12, $$9 - (-12) + 7 + 11 + 9 + 14=\textcolor{white}{62}$$return {
["body"] = 12,
["id"] = "F6TYGU_1204_0522",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 62,
["jmenovatel"] = 1 },
["render"] = "\\frac{62}{1}",
["typ"] = "cislo" },
["tex"] = "62",
["x"] = 62 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 + 11",
["typ"] = "plus" },
["render"] = "9 - (-12) + 7 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - (-12) + 7 + 11 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "9 - (-12) + 7 + 11 + 9 + 14",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.31, bodu=12, $$-8 \cdot 14 \cdot 6 - (-7)=\textcolor{white}{-665}$$return {
["body"] = 12,
["id"] = "DEPojt_1204_0522",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -665,
["jmenovatel"] = 1 },
["render"] = "\\frac{-665}{1}",
["typ"] = "cislo" },
["tex"] = "-665",
["tex_float"] = "-665",
["x"] = -665 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 14 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 14 \\cdot 6 - (-7)",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.32, bodu=26, $$\frac{7 \cdot (9 - 13)}{-15}=\textcolor{white}{1\frac{13}{15}}$$return {
["body"] = 26,
["id"] = "ve1lYA_1204_0522",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 1.8666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 15 },
["render"] = "\\frac{-28}{-15}",
["typ"] = "cislo" },
["tex"] = "1\\frac{13}{15}",
["x"] = 1,
["y"] = 13,
["z"] = 15 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 - 13",
["typ"] = "minus" },
["render"] = "(9 - 13)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (9 - 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot (9 - 13)}{-15}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.33, bodu=13, $$-8 \cdot ((-13 - (-14))^3 - 3 + 5)=\textcolor{white}{-24}$$return {
["body"] = 13,
["id"] = "LCJOwL_1204_0522",
["obtiznost"] = 0.3308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "\\frac{-24}{1}",
["typ"] = "cislo" },
["tex"] = "-24",
["tex_float"] = "-24",
["x"] = -24 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-13 - (-14))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-13 - (-14))^3 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-13 - (-14))^3 - 3 + 5",
["typ"] = "plus" },
["render"] = "((-13 - (-14))^3 - 3 + 5)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot ((-13 - (-14))^3 - 3 + 5)",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.34, bodu=27, $$\frac{11}{-14 \cdot -12 \cdot -6}=\textcolor{white}{-\frac{11}{1008}}$$return {
["body"] = 27,
["id"] = "w2FxSa_1204_0522",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -0.010912698412698,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1008 },
["render"] = "\\frac{11}{-1008}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{1008}",
["y"] = -11,
["z"] = 1008 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -6",
["typ"] = "krat" },
["render"] = "-14 \\cdot -12 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{11}{-14 \\cdot -12 \\cdot -6}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.35, bodu=28, $$\frac{-5}{6} - (-12) + 5 - 9=\textcolor{white}{7\frac{1}{6}}$$return {
["body"] = 28,
["id"] = "38n9MF_1204_0522",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 7.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 6 },
["render"] = "\\frac{43}{6}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{6}",
["x"] = 7,
["y"] = 1,
["z"] = 6 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6} - (-12) + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6} - (-12) + 5 - 9",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.36, bodu=47, $$\frac{8}{14} - (-8 \cdot 3\frac{5}{9})=\textcolor{white}{29\frac{1}{63}}$$return {
["body"] = 47,
["id"] = "hSlVT9_1204_0522",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 29.015873015873,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1828,
["jmenovatel"] = 63 },
["render"] = "\\frac{1828}{63}",
["typ"] = "cislo" },
["tex"] = "29\\frac{1}{63}",
["x"] = 29,
["y"] = 1,
["z"] = 63 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{8}{14} - (-8 \\cdot 3\\frac{5}{9})",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.37, bodu=95, $$(9 - 2\frac{3}{4}) \cdot (-9 \cdot 2\frac{4}{9})^2=\textcolor{white}{3025}$$return {
["body"] = 95,
["id"] = "BLLvPp_1204_0522",
["obtiznost"] = 0.964,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3025,
["jmenovatel"] = 1 },
["render"] = "\\frac{12100}{4}",
["typ"] = "cislo" },
["tex"] = "3025",
["x"] = 3025 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(9 - 2\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-9 \\cdot 2\\frac{4}{9})^2",
["typ"] = "mocnina" },
["render"] = "(9 - 2\\frac{3}{4}) \\cdot (-9 \\cdot 2\\frac{4}{9})^2",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.38, bodu=25, $$-7 - ((11 + 12 + (-15))^3 - 12)=\textcolor{white}{-507}$$return {
["body"] = 25,
["id"] = "mwkvj3_1204_0522",
["obtiznost"] = 0.5852,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -507,
["jmenovatel"] = 1 },
["render"] = "\\frac{-507}{1}",
["typ"] = "cislo" },
["tex"] = "-507",
["x"] = -507 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 + 12 + (-15)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + 12 + (-15))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(11 + 12 + (-15))^3 - 12",
["typ"] = "minus" },
["render"] = "((11 + 12 + (-15))^3 - 12)",
["typ"] = "zavorka" },
["render"] = "-7 - ((11 + 12 + (-15))^3 - 12)",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.39, bodu=50, $$9 + (-8 \cdot 14 + 7 - 3\frac{2}{7})=\textcolor{white}{-99\frac{2}{7}}$$return {
["body"] = 50,
["id"] = "itqCo6_1204_0522",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -99.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -695,
["jmenovatel"] = 7 },
["render"] = "\\frac{-695}{7}",
["typ"] = "cislo" },
["tex"] = "-99\\frac{2}{7}",
["x"] = -99,
["y"] = 2,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "-8 \\cdot 14 + 7 - 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "9 + (-8 \\cdot 14 + 7 - 3\\frac{2}{7})",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.4, bodu=32, $$\frac{\frac{-5}{-12}}{15 + 10 + (-10)}=\textcolor{white}{\frac{1}{36}}$$return {
["body"] = 32,
["id"] = "harOfq_1204_0522",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 0.027777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 36 },
["render"] = "\\frac{5}{180}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{36}",
["y"] = 1,
["z"] = 36 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 + (-10)",
["typ"] = "plus" },
["render"] = "15 + 10 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-5}{-12}}{15 + 10 + (-10)}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.41, bodu=52, $$\frac{10}{11} \cdot (\frac{17}{2\frac{3}{10}} - (-11))=\textcolor{white}{16\frac{182}{253}}$$return {
["body"] = 52,
["id"] = "BBfnJI_1204_0522",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 16.719367588933,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4230,
["jmenovatel"] = 253 },
["render"] = "\\frac{4230}{253}",
["typ"] = "cislo" },
["tex"] = "16\\frac{182}{253}",
["x"] = 16,
["y"] = 182,
["z"] = 253 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{17}{2\\frac{3}{10}} - (-11)",
["typ"] = "minus" },
["render"] = "(\\frac{17}{2\\frac{3}{10}} - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{11} \\cdot (\\frac{17}{2\\frac{3}{10}} - (-11))",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.42, bodu=34, $$\frac{9 \cdot 12}{12 - \frac{6}{6}}=\textcolor{white}{9\frac{9}{11}}$$return {
["body"] = 34,
["id"] = "1XMSIv_1204_0522",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 9.8181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 11 },
["render"] = "\\frac{108}{11}",
["typ"] = "cislo" },
["tex"] = "9\\frac{9}{11}",
["x"] = 9,
["y"] = 9,
["z"] = 11 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{6}{6}",
["typ"] = "minus" },
["render"] = "\\frac{9 \\cdot 12}{12 - \\frac{6}{6}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.43, bodu=17, $$8 \cdot (12 \cdot 13 + 16 - 8)=\textcolor{white}{1312}$$return {
["body"] = 17,
["id"] = "85tFWH_1204_0522",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1312,
["jmenovatel"] = 1 },
["render"] = "\\frac{1312}{1}",
["typ"] = "cislo" },
["tex"] = "1312",
["x"] = 1312 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["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 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "16 - 8",
["typ"] = "minus" },
["render"] = "12 \\cdot 13 + 16 - 8",
["typ"] = "plus" },
["render"] = "(12 \\cdot 13 + 16 - 8)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (12 \\cdot 13 + 16 - 8)",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.44, bodu=56, $$(-8 + 9 + 4\frac{5}{7}) \cdot -10 \cdot -5=\textcolor{white}{285\frac{5}{7}}$$return {
["body"] = 56,
["id"] = "yWDMLW_1204_0522",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 285.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2000,
["jmenovatel"] = 7 },
["render"] = "\\frac{2000}{7}",
["typ"] = "cislo" },
["tex"] = "285\\frac{5}{7}",
["x"] = 285,
["y"] = 5,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "-8 + 9 + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(-8 + 9 + 4\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-8 + 9 + 4\\frac{5}{7}) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(-8 + 9 + 4\\frac{5}{7}) \\cdot -10 \\cdot -5",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.45, bodu=106, $$\frac{\frac{-12}{1\frac{1}{5}}}{-3 + 2\frac{4}{9} - 2\frac{4}{7}}=\textcolor{white}{3\frac{39}{197}}$$return {
["body"] = 106,
["id"] = "rhiOnu_1204_0522",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 3.1979695431472,
["objekt"] = {
["hodnota"] = {
["citatel"] = 630,
["jmenovatel"] = 197 },
["render"] = "\\frac{-630}{-197}",
["typ"] = "cislo" },
["tex"] = "3\\frac{39}{197}",
["x"] = 3,
["y"] = 39,
["z"] = 197 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-3 + 2\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-3 + 2\\frac{4}{9} - 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-12}{1\\frac{1}{5}}}{-3 + 2\\frac{4}{9} - 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.46, bodu=81, $$\frac{-12 \cdot (1\frac{3}{5} + 4\frac{4}{11} + 13)}{11}=\textcolor{white}{-20\frac{416}{605}}$$return {
["body"] = 81,
["id"] = "BpuPFx_1204_0522",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -20.687603305785,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12516,
["jmenovatel"] = 605 },
["render"] = "\\frac{-12516}{605}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{416}{605}",
["x"] = -20,
["y"] = 416,
["z"] = 605 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} + 13",
["typ"] = "plus" },
["render"] = "1\\frac{3}{5} + 4\\frac{4}{11} + 13",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{5} + 4\\frac{4}{11} + 13)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (1\\frac{3}{5} + 4\\frac{4}{11} + 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot (1\\frac{3}{5} + 4\\frac{4}{11} + 13)}{11}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.47, bodu=85, $$\frac{(\frac{14}{14})^2}{4\frac{3}{8} - (\frac{-9}{1\frac{3}{6}})^2}=\textcolor{white}{-\frac{8}{253}}$$return {
["body"] = 85,
["id"] = "6vxaXQ_1204_0522",
["obtiznost"] = 0.8856,
["reseni"] = {
["float"] = -0.031620553359684,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 253 },
["render"] = "\\frac{8}{-253}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{253}",
["y"] = -8,
["z"] = 253 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.47",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{14}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{14})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{1\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} - (\\frac{-9}{1\\frac{3}{6}})^2",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{14}{14})^2}{4\\frac{3}{8} - (\\frac{-9}{1\\frac{3}{6}})^2}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.48, bodu=84, $$1\frac{3}{8} \cdot 10 \cdot 2\frac{2}{7} \cdot 12=\textcolor{white}{377\frac{1}{7}}$$return {
["body"] = 84,
["id"] = "fFUqXV_1204_0522",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 377.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2640,
["jmenovatel"] = 7 },
["render"] = "\\frac{2640}{7}",
["typ"] = "cislo" },
["tex"] = "377\\frac{1}{7}",
["x"] = 377,
["y"] = 1,
["z"] = 7 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 10 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 10 \\cdot 2\\frac{2}{7} \\cdot 12",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.49, bodu=96, $$-9 - (1\frac{5}{8} + 6) + (8 - 2\frac{1}{6} + (-6))^3=\textcolor{white}{-16\frac{17}{27}}$$return {
["body"] = 96,
["id"] = "bjUkDP_1204_0522",
["obtiznost"] = 0.9768,
["reseni"] = {
["float"] = -16.62962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -449,
["jmenovatel"] = 27 },
["render"] = "\\frac{-28736}{1728}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{17}{27}",
["x"] = -16,
["y"] = 17,
["z"] = 27 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 6",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{8} + 6)",
["typ"] = "zavorka" },
["render"] = "-9 - (1\\frac{5}{8} + 6)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{1}{6} + (-6)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(8 - 2\\frac{1}{6} + (-6))^3",
["typ"] = "mocnina" },
["render"] = "-9 - (1\\frac{5}{8} + 6) + (8 - 2\\frac{1}{6} + (-6))^3",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.5, bodu=62, $$\frac{\frac{5}{12 + 13 + 2\frac{5}{11} + (-11)}}{10}=\textcolor{white}{\frac{11}{362}}$$return {
["body"] = 62,
["id"] = "whoHYB_1204_0522",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 0.030386740331492,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 362 },
["render"] = "\\frac{55}{1810}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{362}",
["y"] = 11,
["z"] = 362 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "12 + 13 + 2\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 + 13 + 2\\frac{5}{11} + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{5}{12 + 13 + 2\\frac{5}{11} + (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{12 + 13 + 2\\frac{5}{11} + (-11)}}{10}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.51, bodu=88, $$\frac{7 \cdot (2\frac{3}{9} - (-10) - 4\frac{3}{7})}{-7}=\textcolor{white}{-7\frac{19}{21}}$$return {
["body"] = 88,
["id"] = "GXSvnz_1204_0522",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -7.9047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -166,
["jmenovatel"] = 21 },
["render"] = "\\frac{166}{-21}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{19}{21}",
["x"] = -7,
["y"] = 19,
["z"] = 21 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-10) - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{9} - (-10) - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (2\\frac{3}{9} - (-10) - 4\\frac{3}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot (2\\frac{3}{9} - (-10) - 4\\frac{3}{7})}{-7}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.52, bodu=89, $$4\frac{2}{4} \cdot \frac{13 - 10 \cdot 4\frac{4}{8}}{-4}=\textcolor{white}{36}$$return {
["body"] = 89,
["id"] = "7IceGr_1204_0522",
["obtiznost"] = 0.92,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{2}",
["typ"] = "cislo" },
["tex"] = "36",
["x"] = 36 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "13 - 10 \\cdot 4\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 10 \\cdot 4\\frac{4}{8}}{-4}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{4} \\cdot \\frac{13 - 10 \\cdot 4\\frac{4}{8}}{-4}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.53, bodu=148, $$(3\frac{4}{11} + 11 - \frac{1\frac{2}{8}}{1\frac{1}{5}}) \cdot 3\frac{1}{6}=\textcolor{white}{42\frac{295}{1584}}$$return {
["body"] = 148,
["id"] = "7S9prn_1204_0522",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 42.186237373737,
["objekt"] = {
["hodnota"] = {
["citatel"] = 66823,
["jmenovatel"] = 1584 },
["render"] = "\\frac{66823}{1584}",
["typ"] = "cislo" },
["tex"] = "42\\frac{295}{1584}",
["x"] = 42,
["y"] = 295,
["z"] = 1584 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8}}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{1\\frac{2}{8}}{1\\frac{1}{5}}",
["typ"] = "minus" },
["render"] = "3\\frac{4}{11} + 11 - \\frac{1\\frac{2}{8}}{1\\frac{1}{5}}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{11} + 11 - \\frac{1\\frac{2}{8}}{1\\frac{1}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{11} + 11 - \\frac{1\\frac{2}{8}}{1\\frac{1}{5}}) \\cdot 3\\frac{1}{6}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.54, bodu=119, $$1\frac{5}{9} - (-10) + 4\frac{2}{7} + (-14) + 3\frac{3}{7} - 12=\textcolor{white}{-6\frac{46}{63}}$$return {
["body"] = 119,
["id"] = "c8QdmC_1204_0522",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -6.7301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -424,
["jmenovatel"] = 63 },
["render"] = "\\frac{-424}{63}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{46}{63}",
["x"] = -6,
["y"] = 46,
["z"] = 63 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} - 12",
["typ"] = "minus" },
["render"] = "4\\frac{2}{7} + (-14) + 3\\frac{3}{7} - 12",
["typ"] = "plus" },
["render"] = "1\\frac{5}{9} - (-10) + 4\\frac{2}{7} + (-14) + 3\\frac{3}{7} - 12",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.55, bodu=93, $$\frac{-6 - 4\frac{2}{7}}{-14 + 2\frac{1}{3} + 9 \cdot 17}=\textcolor{white}{-\frac{27}{371}}$$return {
["body"] = 93,
["id"] = "l6hQ24_1204_0522",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -0.07277628032345,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 371 },
["render"] = "\\frac{-216}{2968}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{371}",
["y"] = -27,
["z"] = 371 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "9 \\cdot 17",
["typ"] = "krat" },
["render"] = "-14 + 2\\frac{1}{3} + 9 \\cdot 17",
["typ"] = "plus" },
["render"] = "\\frac{-6 - 4\\frac{2}{7}}{-14 + 2\\frac{1}{3} + 9 \\cdot 17}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.56, bodu=94, $$\frac{3\frac{1}{7} + (-10)}{10} - 3\frac{1}{6} - (-6)=\textcolor{white}{2\frac{31}{210}}$$return {
["body"] = 94,
["id"] = "Ha6J1b_1204_0522",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 2.147619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 451,
["jmenovatel"] = 210 },
["render"] = "\\frac{451}{210}",
["typ"] = "cislo" },
["tex"] = "2\\frac{31}{210}",
["x"] = 2,
["y"] = 31,
["z"] = 210 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7} + (-10)}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7} + (-10)}{10} - 3\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7} + (-10)}{10} - 3\\frac{1}{6} - (-6)",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.57, bodu=70, $$(\frac{17}{-14})^2 \cdot \frac{-11}{-9}=\textcolor{white}{1\frac{1415}{1764}}$$return {
["body"] = 70,
["id"] = "YlEVIS_1204_0522",
["obtiznost"] = 0.764,
["reseni"] = {
["float"] = 1.8021541950113,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3179,
["jmenovatel"] = 1764 },
["render"] = "\\frac{3179}{1764}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1415}{1764}",
["x"] = 1,
["y"] = 1415,
["z"] = 1764 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.57",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{17}{-14})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-9}",
["typ"] = "lomeno" },
["render"] = "(\\frac{17}{-14})^2 \\cdot \\frac{-11}{-9}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.58, bodu=80, $$\frac{(10 - (\frac{2\frac{5}{10}}{-6} + 10))^2}{12}=\textcolor{white}{\frac{25}{1728}}$$return {
["body"] = 80,
["id"] = "guYZmM_1204_0522",
["obtiznost"] = 0.8476,
["reseni"] = {
["float"] = 0.014467592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 1728 },
["render"] = "\\frac{25}{1728}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{1728}",
["y"] = 25,
["z"] = 1728 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.58",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{-6} + 10",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{5}{10}}{-6} + 10)",
["typ"] = "zavorka" },
["render"] = "10 - (\\frac{2\\frac{5}{10}}{-6} + 10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (\\frac{2\\frac{5}{10}}{-6} + 10))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(10 - (\\frac{2\\frac{5}{10}}{-6} + 10))^2}{12}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.59, bodu=98, $$(2\frac{3}{10} - 17) \cdot \frac{-15}{10} \cdot 4\frac{5}{6}=\textcolor{white}{106{,}575}$$return {
["body"] = 98,
["id"] = "j8usc0_1204_0522",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 106.575,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4263,
["jmenovatel"] = 40 },
["render"] = "\\frac{12789}{120}",
["typ"] = "cislo" },
["tex"] = "106\\frac{23}{40}",
["tex_float"] = "106{,}575",
["x"] = 106,
["y"] = 23,
["z"] = 40 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 17",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - 17)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{10}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{3}{10} - 17) \\cdot \\frac{-15}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} - 17) \\cdot \\frac{-15}{10} \\cdot 4\\frac{5}{6}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.6, bodu=74, $$\frac{10}{17 + 4\frac{3}{12}} \cdot \frac{-11}{-14}=\textcolor{white}{\frac{44}{119}}$$return {
["body"] = 74,
["id"] = "Ok8sxz_1204_0522",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 0.36974789915966,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 119 },
["render"] = "\\frac{88}{238}",
["typ"] = "cislo" },
["tex"] = "\\frac{44}{119}",
["y"] = 44,
["z"] = 119 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "17 + 4\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "\\frac{10}{17 + 4\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{17 + 4\\frac{3}{12}} \\cdot \\frac{-11}{-14}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.61, bodu=100, $$\frac{13}{-15 \cdot 2\frac{1}{9}} + (\frac{18}{13})^2=\textcolor{white}{1\frac{8134}{16055}}$$return {
["body"] = 100,
["id"] = "RG3lky_1204_0522",
["obtiznost"] = 1.0072,
["reseni"] = {
["float"] = 1.5066334475241,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24189,
["jmenovatel"] = 16055 },
["render"] = "\\frac{24189}{16055}",
["typ"] = "cislo" },
["tex"] = "1\\frac{8134}{16055}",
["x"] = 1,
["y"] = 8134,
["z"] = 16055 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 2\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "\\frac{13}{-15 \\cdot 2\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{18}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{18}{13})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{-15 \\cdot 2\\frac{1}{9}} + (\\frac{18}{13})^2",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.62, bodu=145, $$1\frac{5}{11} - 6 - ((12 - (-15))^2 + 4\frac{3}{5} - 19)=\textcolor{white}{-719\frac{8}{55}}$$return {
["body"] = 145,
["id"] = "Vwd6JK_1204_0522",
["obtiznost"] = 1.312,
["reseni"] = {
["float"] = -719.14545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39553,
["jmenovatel"] = 55 },
["render"] = "\\frac{-39553}{55}",
["typ"] = "cislo" },
["tex"] = "-719\\frac{8}{55}",
["x"] = -719,
["y"] = 8,
["z"] = 55 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 6",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "12 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} - 19",
["typ"] = "minus" },
["render"] = "(12 - (-15))^2 + 4\\frac{3}{5} - 19",
["typ"] = "plus" },
["render"] = "((12 - (-15))^2 + 4\\frac{3}{5} - 19)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} - 6 - ((12 - (-15))^2 + 4\\frac{3}{5} - 19)",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.63, bodu=78, $$-11 \cdot 14 - (6 + (-5))^4 - 3\frac{3}{10} + (-7)=\textcolor{white}{-165{,}3}$$return {
["body"] = 78,
["id"] = "d32Hx9_1204_0522",
["obtiznost"] = 0.8308,
["reseni"] = {
["float"] = -165.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1653,
["jmenovatel"] = 10 },
["render"] = "\\frac{-1653}{10}",
["typ"] = "cislo" },
["tex"] = "-165\\frac{3}{10}",
["tex_float"] = "-165{,}3",
["x"] = -165,
["y"] = 3,
["z"] = 10 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "6 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(6 + (-5))^4",
["typ"] = "mocnina" },
["render"] = "-11 \\cdot 14 - (6 + (-5))^4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 14 - (6 + (-5))^4 - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 14 - (6 + (-5))^4 - 3\\frac{3}{10} + (-7)",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.64, bodu=134, $$-12 - \frac{4\frac{3}{7}}{\frac{4\frac{3}{6}}{3\frac{5}{9}}} \cdot 14=\textcolor{white}{-60\frac{80}{81}}$$return {
["body"] = 134,
["id"] = "KFm4wM_1204_0522",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -60.987654320988,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4940,
["jmenovatel"] = 81 },
["render"] = "\\frac{-4940}{81}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{80}{81}",
["x"] = -60,
["y"] = 80,
["z"] = 81 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{6}}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{7}}{\\frac{4\\frac{3}{6}}{3\\frac{5}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{\\frac{4\\frac{3}{6}}{3\\frac{5}{9}}} \\cdot 14",
["typ"] = "krat" },
["render"] = "-12 - \\frac{4\\frac{3}{7}}{\\frac{4\\frac{3}{6}}{3\\frac{5}{9}}} \\cdot 14",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.65, bodu=157, $$\frac{\frac{(10 + 3\frac{1}{5} - 15)^3}{-13}}{2\frac{1}{5} + 12 + (-6)}=\textcolor{white}{\frac{729}{13325}}$$return {
["body"] = 157,
["id"] = "1AOFdC_1204_0522",
["obtiznost"] = 1.3916,
["reseni"] = {
["float"] = 0.054709193245779,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 13325 },
["render"] = "\\frac{3645}{66625}",
["typ"] = "cislo" },
["tex"] = "\\frac{729}{13325}",
["y"] = 729,
["z"] = 13325 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 15",
["typ"] = "minus" },
["render"] = "10 + 3\\frac{1}{5} - 15",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(10 + 3\\frac{1}{5} - 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{(10 + 3\\frac{1}{5} - 15)^3}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 12 + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{(10 + 3\\frac{1}{5} - 15)^3}{-13}}{2\\frac{1}{5} + 12 + (-6)}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.66, bodu=81, $$(16 + 2\frac{2}{5}) \cdot \frac{13}{\frac{9}{14}}=\textcolor{white}{372\frac{4}{45}}$$return {
["body"] = 81,
["id"] = "0fPwSZ_1204_0522",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 372.08888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16744,
["jmenovatel"] = 45 },
["render"] = "\\frac{16744}{45}",
["typ"] = "cislo" },
["tex"] = "372\\frac{4}{45}",
["x"] = 372,
["y"] = 4,
["z"] = 45 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "16 + 2\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(16 + 2\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{9}{14}}",
["typ"] = "lomeno" },
["render"] = "(16 + 2\\frac{2}{5}) \\cdot \\frac{13}{\\frac{9}{14}}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.67, bodu=170, $$(\frac{2\frac{4}{9}}{10} + \frac{4\frac{4}{12}}{1\frac{4}{14}}) \cdot (4\frac{3}{6} - 11)=\textcolor{white}{-23\frac{67}{135}}$$return {
["body"] = 170,
["id"] = "PPgReh_1204_0522",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -23.496296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3172,
["jmenovatel"] = 135 },
["render"] = "\\frac{-6344}{270}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{67}{135}",
["x"] = -23,
["y"] = 67,
["z"] = 135 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{1\\frac{4}{14}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{9}}{10} + \\frac{4\\frac{4}{12}}{1\\frac{4}{14}}",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{4}{9}}{10} + \\frac{4\\frac{4}{12}}{1\\frac{4}{14}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} - 11",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{6} - 11)",
["typ"] = "zavorka" },
["render"] = "(\\frac{2\\frac{4}{9}}{10} + \\frac{4\\frac{4}{12}}{1\\frac{4}{14}}) \\cdot (4\\frac{3}{6} - 11)",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.68, bodu=172, $$(4\frac{3}{11} - (3\frac{4}{7} \cdot 3\frac{4}{10} - 15)) \cdot 3\frac{3}{5}=\textcolor{white}{25\frac{257}{385}}$$return {
["body"] = 172,
["id"] = "C0pZBs_1204_0522",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 25.667532467532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9882,
["jmenovatel"] = 385 },
["render"] = "\\frac{9882}{385}",
["typ"] = "cislo" },
["tex"] = "25\\frac{257}{385}",
["x"] = 25,
["y"] = 257,
["z"] = 385 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 3\\frac{4}{10} - 15",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{7} \\cdot 3\\frac{4}{10} - 15)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{11} - (3\\frac{4}{7} \\cdot 3\\frac{4}{10} - 15)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{11} - (3\\frac{4}{7} \\cdot 3\\frac{4}{10} - 15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{11} - (3\\frac{4}{7} \\cdot 3\\frac{4}{10} - 15)) \\cdot 3\\frac{3}{5}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.69, bodu=141, $$1\frac{3}{7} - \frac{\frac{8}{-11} + 4\frac{1}{6}}{1\frac{4}{5} + (-14)}=\textcolor{white}{1\frac{20023}{28182}}$$return {
["body"] = 141,
["id"] = "7dpRWg_1204_0522",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 1.7104889645873,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48205,
["jmenovatel"] = 28182 },
["render"] = "\\frac{48205}{28182}",
["typ"] = "cislo" },
["tex"] = "1\\frac{20023}{28182}",
["x"] = 1,
["y"] = 20023,
["z"] = 28182 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-11} + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{8}{-11} + 4\\frac{1}{6}}{1\\frac{4}{5} + (-14)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{7} - \\frac{\\frac{8}{-11} + 4\\frac{1}{6}}{1\\frac{4}{5} + (-14)}",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.7, bodu=113, $$3\frac{4}{10} + (-8 - \frac{3\frac{2}{6} + 9}{14 - (-15)})=\textcolor{white}{-5\frac{11}{435}}$$return {
["body"] = 113,
["id"] = "7RhIL0_1204_0522",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -5.0252873563218,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2186,
["jmenovatel"] = 435 },
["render"] = "\\frac{-2186}{435}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{11}{435}",
["x"] = -5,
["y"] = 11,
["z"] = 435 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "14 - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{2}{6} + 9}{14 - (-15)}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{3\\frac{2}{6} + 9}{14 - (-15)}",
["typ"] = "minus" },
["render"] = "3\\frac{4}{10} + (-8 - \\frac{3\\frac{2}{6} + 9}{14 - (-15)})",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.71, bodu=144, $$-4 \cdot \frac{\frac{2\frac{5}{9}}{18}}{1\frac{2}{8} \cdot 4\frac{2}{6}}=\textcolor{white}{-\frac{184}{1755}}$$return {
["body"] = 144,
["id"] = "1k42Jx_1204_0522",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -0.1048433048433,
["objekt"] = {
["hodnota"] = {
["citatel"] = -184,
["jmenovatel"] = 1755 },
["render"] = "\\frac{-184}{1755}",
["typ"] = "cislo" },
["tex"] = "-\\frac{184}{1755}",
["y"] = -184,
["z"] = 1755 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{2\\frac{5}{9}}{18}}{1\\frac{2}{8} \\cdot 4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "-4 \\cdot \\frac{\\frac{2\\frac{5}{9}}{18}}{1\\frac{2}{8} \\cdot 4\\frac{2}{6}}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.72, bodu=90, $$10 \cdot (-8 + (-4) + \frac{1\frac{2}{7}}{11} + (9 - 13)^2)=\textcolor{white}{41\frac{13}{77}}$$return {
["body"] = 90,
["id"] = "T5VZQf_1204_0522",
["obtiznost"] = 0.9268,
["reseni"] = {
["float"] = 41.168831168831,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3170,
["jmenovatel"] = 77 },
["render"] = "\\frac{3170}{77}",
["typ"] = "cislo" },
["tex"] = "41\\frac{13}{77}",
["x"] = 41,
["y"] = 13,
["z"] = 77 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-8 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{11}",
["typ"] = "lomeno" },
["render"] = "-8 + (-4) + \\frac{1\\frac{2}{7}}{11}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 13)^2",
["typ"] = "mocnina" },
["render"] = "-8 + (-4) + \\frac{1\\frac{2}{7}}{11} + (9 - 13)^2",
["typ"] = "plus" },
["render"] = "(-8 + (-4) + \\frac{1\\frac{2}{7}}{11} + (9 - 13)^2)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-8 + (-4) + \\frac{1\\frac{2}{7}}{11} + (9 - 13)^2)",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.73, bodu=90, $$1\frac{4}{8} \cdot (12 + (-16) - 13 \cdot -10 - 4)=\textcolor{white}{183}$$return {
["body"] = 90,
["id"] = "SlQdt0_1204_0522",
["obtiznost"] = 0.93,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 183,
["jmenovatel"] = 1 },
["render"] = "\\frac{366}{2}",
["typ"] = "cislo" },
["tex"] = "183",
["x"] = 183 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 \\cdot -10",
["typ"] = "krat" },
["render"] = "12 + (-16) - 13 \\cdot -10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 + (-16) - 13 \\cdot -10 - 4",
["typ"] = "minus" },
["render"] = "(12 + (-16) - 13 \\cdot -10 - 4)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{8} \\cdot (12 + (-16) - 13 \\cdot -10 - 4)",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.74, bodu=119, $$-20 + \frac{3\frac{2}{5}}{11 \cdot -7 \cdot 4\frac{4}{9}}=\textcolor{white}{-20\frac{153}{15400}}$$return {
["body"] = 119,
["id"] = "VjJont_1204_0522",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -20.009935064935,
["objekt"] = {
["hodnota"] = {
["citatel"] = -308153,
["jmenovatel"] = 15400 },
["render"] = "\\frac{-308153}{15400}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{153}{15400}",
["x"] = -20,
["y"] = 153,
["z"] = 15400 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "11 \\cdot -7 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{5}}{11 \\cdot -7 \\cdot 4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "-20 + \\frac{3\\frac{2}{5}}{11 \\cdot -7 \\cdot 4\\frac{4}{9}}",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.75, bodu=93, $$(-9 + (-16)) \cdot \frac{3\frac{4}{6}}{\frac{21}{-12}}=\textcolor{white}{52\frac{8}{21}}$$return {
["body"] = 93,
["id"] = "yawJLN_1204_0522",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 52.380952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1100,
["jmenovatel"] = 21 },
["render"] = "\\frac{1100}{21}",
["typ"] = "cislo" },
["tex"] = "52\\frac{8}{21}",
["x"] = 52,
["y"] = 8,
["z"] = 21 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-9 + (-16)",
["typ"] = "plus" },
["render"] = "(-9 + (-16))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{21}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{6}}{\\frac{21}{-12}}",
["typ"] = "lomeno" },
["render"] = "(-9 + (-16)) \\cdot \\frac{3\\frac{4}{6}}{\\frac{21}{-12}}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.76, bodu=152, $$(4\frac{3}{12} - \frac{18}{3\frac{4}{8}} - 2\frac{2}{7}) \cdot 11=\textcolor{white}{-34\frac{27}{28}}$$return {
["body"] = 152,
["id"] = "M7OgbY_1204_0522",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -34.964285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -979,
["jmenovatel"] = 28 },
["render"] = "\\frac{-979}{28}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{27}{28}",
["x"] = -34,
["y"] = 27,
["z"] = 28 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{12} - \\frac{18}{3\\frac{4}{8}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{12} - \\frac{18}{3\\frac{4}{8}} - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{12} - \\frac{18}{3\\frac{4}{8}} - 2\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{12} - \\frac{18}{3\\frac{4}{8}} - 2\\frac{2}{7}) \\cdot 11",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.77, bodu=187, $$\frac{1\frac{3}{7} + (-10)}{\frac{\frac{3\frac{2}{7}}{3\frac{1}{6}}}{3\frac{1}{9} + 10}}=\textcolor{white}{-108\frac{64}{207}}$$return {
["body"] = 187,
["id"] = "3VzrHF_1204_0522",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -108.30917874396,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22420,
["jmenovatel"] = 207 },
["render"] = "\\frac{-470820}{4347}",
["typ"] = "cislo" },
["tex"] = "-108\\frac{64}{207}",
["x"] = -108,
["y"] = 64,
["z"] = 207 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 10",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{2}{7}}{3\\frac{1}{6}}}{3\\frac{1}{9} + 10}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{7} + (-10)}{\\frac{\\frac{3\\frac{2}{7}}{3\\frac{1}{6}}}{3\\frac{1}{9} + 10}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.78, bodu=155, $$\frac{-2}{-21 + 2\frac{4}{12}} + \frac{3\frac{1}{3} + 16}{2\frac{2}{5}}=\textcolor{white}{8\frac{41}{252}}$$return {
["body"] = 155,
["id"] = "9jyyko_1204_0522",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 8.1626984126984,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2057,
["jmenovatel"] = 252 },
["render"] = "\\frac{4114}{504}",
["typ"] = "cislo" },
["tex"] = "8\\frac{41}{252}",
["x"] = 8,
["y"] = 41,
["z"] = 252 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-21 + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "\\frac{-2}{-21 + 2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3} + 16}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-2}{-21 + 2\\frac{4}{12}} + \\frac{3\\frac{1}{3} + 16}{2\\frac{2}{5}}",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.79, bodu=126, $$-6 + (-13) - (12 + 4\frac{4}{9} - 16) \cdot 1\frac{4}{12}=\textcolor{white}{-19\frac{16}{27}}$$return {
["body"] = 126,
["id"] = "eIOV9t_1204_0522",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -19.592592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = -529,
["jmenovatel"] = 27 },
["render"] = "\\frac{-529}{27}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{16}{27}",
["x"] = -19,
["y"] = 16,
["z"] = 27 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.79",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - 16",
["typ"] = "minus" },
["render"] = "12 + 4\\frac{4}{9} - 16",
["typ"] = "plus" },
["render"] = "(12 + 4\\frac{4}{9} - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(12 + 4\\frac{4}{9} - 16) \\cdot 1\\frac{4}{12}",
["typ"] = "krat" },
["render"] = "-6 + (-13) - (12 + 4\\frac{4}{9} - 16) \\cdot 1\\frac{4}{12}",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.8, bodu=192, $$\frac{6}{\frac{\frac{4\frac{4}{9}}{1\frac{3}{12}}}{2\frac{2}{11}}} \cdot 3\frac{3}{6}=\textcolor{white}{12\frac{39}{44}}$$return {
["body"] = 192,
["id"] = "08Vzxj_1204_0522",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 12.886363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 44 },
["render"] = "\\frac{567}{44}",
["typ"] = "cislo" },
["tex"] = "12\\frac{39}{44}",
["x"] = 12,
["y"] = 39,
["z"] = 44 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{1\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{9}}{1\\frac{3}{12}}}{2\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{\\frac{4\\frac{4}{9}}{1\\frac{3}{12}}}{2\\frac{2}{11}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{\\frac{\\frac{4\\frac{4}{9}}{1\\frac{3}{12}}}{2\\frac{2}{11}}} \\cdot 3\\frac{3}{6}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.81, bodu=160, $$15 \cdot \frac{\frac{16 - (2\frac{2}{7} + 2\frac{4}{11} + 3\frac{5}{11})}{-9}}{-6}=\textcolor{white}{2\frac{134}{693}}$$return {
["body"] = 160,
["id"] = "0fLAVu_1204_0522",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 2.1933621933622,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1520,
["jmenovatel"] = 693 },
["render"] = "\\frac{4560}{2079}",
["typ"] = "cislo" },
["tex"] = "2\\frac{134}{693}",
["x"] = 2,
["y"] = 134,
["z"] = 693 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "16 - (2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{16 - (2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11})}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{16 - (2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11})}{-9}}{-6}",
["typ"] = "lomeno" },
["render"] = "15 \\cdot \\frac{\\frac{16 - (2\\frac{2}{7} + 2\\frac{4}{11} + 3\\frac{5}{11})}{-9}}{-6}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.82, bodu=180, $$\frac{11 + (\frac{1\frac{3}{9}}{(\frac{-14}{21})^3})^3}{4\frac{5}{12} \cdot 14}=\textcolor{white}{-1\frac{439}{1484}}$$return {
["body"] = 180,
["id"] = "5Kvmhg_1204_0522",
["obtiznost"] = 1.5288,
["reseni"] = {
["float"] = -1.2958221024259,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1923,
["jmenovatel"] = 1484 },
["render"] = "\\frac{-3846}{2968}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{439}{1484}",
["x"] = -1,
["y"] = 439,
["z"] = 1484 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{21}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14}{21})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{9}}{(\\frac{-14}{21})^3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{3}{9}}{(\\frac{-14}{21})^3})^3",
["typ"] = "mocnina" },
["render"] = "11 + (\\frac{1\\frac{3}{9}}{(\\frac{-14}{21})^3})^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{11 + (\\frac{1\\frac{3}{9}}{(\\frac{-14}{21})^3})^3}{4\\frac{5}{12} \\cdot 14}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.83, bodu=132, $$22 \cdot 3\frac{5}{13} + \frac{2\frac{2}{9}}{-9} + (-19 \cdot -13)=\textcolor{white}{321\frac{226}{1053}}$$return {
["body"] = 132,
["id"] = "76QpWT_1204_0522",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 321.21462488129,
["objekt"] = {
["hodnota"] = {
["citatel"] = 338239,
["jmenovatel"] = 1053 },
["render"] = "\\frac{338239}{1053}",
["typ"] = "cislo" },
["tex"] = "321\\frac{226}{1053}",
["x"] = 321,
["y"] = 226,
["z"] = 1053 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "22 \\cdot 3\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-19 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{9}}{-9} + (-19 \\cdot -13)",
["typ"] = "plus" },
["render"] = "22 \\cdot 3\\frac{5}{13} + \\frac{2\\frac{2}{9}}{-9} + (-19 \\cdot -13)",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.84, bodu=134, $$-16 \cdot \frac{3\frac{5}{11} \cdot 6}{3\frac{2}{10}} \cdot -16=\textcolor{white}{1658\frac{2}{11}}$$return {
["body"] = 134,
["id"] = "Vysoyr_1204_0522",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 1658.1818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18240,
["jmenovatel"] = 11 },
["render"] = "\\frac{18240}{11}",
["typ"] = "cislo" },
["tex"] = "1658\\frac{2}{11}",
["x"] = 1658,
["y"] = 2,
["z"] = 11 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11} \\cdot 6}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11} \\cdot 6}{3\\frac{2}{10}} \\cdot -16",
["typ"] = "krat" },
["render"] = "-16 \\cdot \\frac{3\\frac{5}{11} \\cdot 6}{3\\frac{2}{10}} \\cdot -16",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.85, bodu=135, $$1\frac{1}{8} \cdot -12 + 4\frac{4}{10} \cdot -9 \cdot (-16 - (-17))^2=\textcolor{white}{-53{,}1}$$return {
["body"] = 135,
["id"] = "H4G5pV_1204_0522",
["obtiznost"] = 1.2508,
["reseni"] = {
["float"] = -53.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -531,
["jmenovatel"] = 10 },
["render"] = "\\frac{-531}{10}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{1}{10}",
["tex_float"] = "-53{,}1",
["x"] = -53,
["y"] = 1,
["z"] = 10 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-16 - (-17)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - (-17))^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{10} \\cdot -9 \\cdot (-16 - (-17))^2",
["typ"] = "krat" },
["render"] = "1\\frac{1}{8} \\cdot -12 + 4\\frac{4}{10} \\cdot -9 \\cdot (-16 - (-17))^2",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.86, bodu=137, $$\frac{\frac{6 + 7 \cdot 3\frac{4}{13}}{-7 + 5}}{-17 - 2\frac{5}{15}}=\textcolor{white}{\frac{1137}{1508}}$$return {
["body"] = 137,
["id"] = "ELJTIi_1204_0522",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 0.75397877984085,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1137,
["jmenovatel"] = 1508 },
["render"] = "\\frac{-1137}{-1508}",
["typ"] = "cislo" },
["tex"] = "\\frac{1137}{1508}",
["y"] = 1137,
["z"] = 1508 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "6 + 7 \\cdot 3\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 + 5",
["typ"] = "plus" },
["render"] = "\\frac{6 + 7 \\cdot 3\\frac{4}{13}}{-7 + 5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "-17 - 2\\frac{5}{15}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{6 + 7 \\cdot 3\\frac{4}{13}}{-7 + 5}}{-17 - 2\\frac{5}{15}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.87, bodu=204, $$(2\frac{1}{8} + 22) \cdot (4\frac{1}{6} + \frac{\frac{1\frac{1}{5}}{-16}}{2\frac{5}{11}})=\textcolor{white}{99\frac{2257}{2880}}$$return {
["body"] = 204,
["id"] = "rmAWP7_1204_0522",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 99.783680555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 287377,
["jmenovatel"] = 2880 },
["render"] = "\\frac{287377}{2880}",
["typ"] = "cislo" },
["tex"] = "99\\frac{2257}{2880}",
["x"] = 99,
["y"] = 2257,
["z"] = 2880 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} + 22",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{8} + 22)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{5}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{5}}{-16}}{2\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{6} + \\frac{\\frac{1\\frac{1}{5}}{-16}}{2\\frac{5}{11}}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + \\frac{\\frac{1\\frac{1}{5}}{-16}}{2\\frac{5}{11}})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{8} + 22) \\cdot (4\\frac{1}{6} + \\frac{\\frac{1\\frac{1}{5}}{-16}}{2\\frac{5}{11}})",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.88, bodu=205, $$\frac{\frac{2\frac{4}{9} \cdot (-14 + 3\frac{5}{11})}{13}}{2\frac{3}{5} + 18 - 1\frac{1}{6}}=\textcolor{white}{-\frac{2320}{22737}}$$return {
["body"] = 205,
["id"] = "qamUm1_1204_0522",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -0.10203632845142,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2320,
["jmenovatel"] = 22737 },
["render"] = "\\frac{-6960}{68211}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2320}{22737}",
["y"] = -2320,
["z"] = 22737 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-14 + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} \\cdot (-14 + 3\\frac{5}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} \\cdot (-14 + 3\\frac{5}{11})}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 18 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{2\\frac{4}{9} \\cdot (-14 + 3\\frac{5}{11})}{13}}{2\\frac{3}{5} + 18 - 1\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.89, bodu=207, $$\frac{\frac{-11}{3\frac{2}{7} - 3\frac{5}{13}}}{\frac{-21}{\frac{3\frac{2}{8}}{3\frac{2}{9}}}}=\textcolor{white}{-5\frac{119}{348}}$$return {
["body"] = 207,
["id"] = "1ZraRz_1204_0522",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -5.3419540229885,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1859,
["jmenovatel"] = 348 },
["render"] = "\\frac{39039}{-7308}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{119}{348}",
["x"] = -5,
["y"] = 119,
["z"] = 348 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 3\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{-11}{3\\frac{2}{7} - 3\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-21}{\\frac{3\\frac{2}{8}}{3\\frac{2}{9}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-11}{3\\frac{2}{7} - 3\\frac{5}{13}}}{\\frac{-21}{\\frac{3\\frac{2}{8}}{3\\frac{2}{9}}}}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.9, bodu=148, $$\frac{3\frac{1}{4}}{-12 \cdot (17 - 14)^4 - (3\frac{2}{11} - (-10))}=\textcolor{white}{-\frac{143}{43348}}$$return {
["body"] = 148,
["id"] = "8MI37b_1204_0522",
["obtiznost"] = 1.3328,
["reseni"] = {
["float"] = -0.0032988834548307,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 43348 },
["render"] = "\\frac{143}{-43348}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{43348}",
["y"] = -143,
["z"] = 43348 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "17 - 14",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(17 - 14)^4",
["typ"] = "mocnina" },
["render"] = "-12 \\cdot (17 - 14)^4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{11} - (-10)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{11} - (-10))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (17 - 14)^4 - (3\\frac{2}{11} - (-10))",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{1}{4}}{-12 \\cdot (17 - 14)^4 - (3\\frac{2}{11} - (-10))}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.91, bodu=144, $$(-11 - (-20)) \cdot 2\frac{2}{10} \cdot (-2 + \frac{1\frac{3}{7}}{17})=\textcolor{white}{-37\frac{557}{595}}$$return {
["body"] = 144,
["id"] = "TLdL2S_1204_0522",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -37.936134453782,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22572,
["jmenovatel"] = 595 },
["render"] = "\\frac{-22572}{595}",
["typ"] = "cislo" },
["tex"] = "-37\\frac{557}{595}",
["x"] = -37,
["y"] = 557,
["z"] = 595 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-11 - (-20)",
["typ"] = "minus" },
["render"] = "(-11 - (-20))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{17}",
["typ"] = "lomeno" },
["render"] = "-2 + \\frac{1\\frac{3}{7}}{17}",
["typ"] = "plus" },
["render"] = "(-2 + \\frac{1\\frac{3}{7}}{17})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{10} \\cdot (-2 + \\frac{1\\frac{3}{7}}{17})",
["typ"] = "krat" },
["render"] = "(-11 - (-20)) \\cdot 2\\frac{2}{10} \\cdot (-2 + \\frac{1\\frac{3}{7}}{17})",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.92, bodu=213, $$\frac{-18}{4\frac{3}{7} + 1\frac{1}{9} - (-8) + (-3 - (4\frac{1}{4} - 1\frac{2}{5}))}=\textcolor{white}{-2\frac{3302}{9689}}$$return {
["body"] = 213,
["id"] = "l9am7d_1204_0522",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = -2.34079884405,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22680,
["jmenovatel"] = 9689 },
["render"] = "\\frac{-22680}{9689}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3302}{9689}",
["x"] = -2,
["y"] = 3302,
["z"] = 9689 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 1\\frac{1}{9} - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 1\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{4} - 1\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "-3 - (4\\frac{1}{4} - 1\\frac{2}{5})",
["typ"] = "minus" },
["render"] = "4\\frac{3}{7} + 1\\frac{1}{9} - (-8) + (-3 - (4\\frac{1}{4} - 1\\frac{2}{5}))",
["typ"] = "plus" },
["render"] = "\\frac{-18}{4\\frac{3}{7} + 1\\frac{1}{9} - (-8) + (-3 - (4\\frac{1}{4} - 1\\frac{2}{5}))}",
["typ"] = "lomeno" } }
seed: Uz2LLVV8psuNWmycu6YL_0.93, bodu=180, $$\frac{1\frac{2}{5} \cdot -7 - 3\frac{3}{7}}{1\frac{1}{6} \cdot -7} \cdot -18=\textcolor{white}{-29\frac{269}{1715}}$$return {
["body"] = 180,
["id"] = "KUhdC8_1204_0522",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -29.156851311953,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50004,
["jmenovatel"] = 1715 },
["render"] = "\\frac{-50004}{1715}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{269}{1715}",
["x"] = -29,
["y"] = 269,
["z"] = 1715 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot -7 - 3\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{5} \\cdot -7 - 3\\frac{3}{7}}{1\\frac{1}{6} \\cdot -7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5} \\cdot -7 - 3\\frac{3}{7}}{1\\frac{1}{6} \\cdot -7} \\cdot -18",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.94, bodu=181, $$3\frac{5}{10} \cdot 7 \cdot 4\frac{2}{10} \cdot 1\frac{4}{13} \cdot -12=\textcolor{white}{-1614\frac{48}{65}}$$return {
["body"] = 181,
["id"] = "Q52yWV_1204_0522",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -1614.7384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104958,
["jmenovatel"] = 65 },
["render"] = "\\frac{-209916}{130}",
["typ"] = "cislo" },
["tex"] = "-1614\\frac{48}{65}",
["x"] = -1614,
["y"] = 48,
["z"] = 65 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot 1\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot 1\\frac{4}{13} \\cdot -12",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} \\cdot 7 \\cdot 4\\frac{2}{10} \\cdot 1\\frac{4}{13} \\cdot -12",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.95, bodu=120, $$2\frac{4}{9} + (-11 \cdot (-14 - 14) \cdot \frac{-19}{9})=\textcolor{white}{-647\frac{7}{9}}$$return {
["body"] = 120,
["id"] = "iA8IbC_1204_0522",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -647.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5830,
["jmenovatel"] = 9 },
["render"] = "\\frac{-5830}{9}",
["typ"] = "cislo" },
["tex"] = "-647\\frac{7}{9}",
["x"] = -647,
["y"] = 7,
["z"] = 9 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 - 14",
["typ"] = "minus" },
["render"] = "(-14 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{9}",
["typ"] = "lomeno" },
["render"] = "(-14 - 14) \\cdot \\frac{-19}{9}",
["typ"] = "krat" },
["render"] = "-11 \\cdot (-14 - 14) \\cdot \\frac{-19}{9}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{9} + (-11 \\cdot (-14 - 14) \\cdot \\frac{-19}{9})",
["typ"] = "plus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.96, bodu=220, $$(1\frac{3}{7} - 2\frac{4}{7}) \cdot 3\frac{3}{13} \cdot \frac{3\frac{1}{8} - 20}{13}=\textcolor{white}{4\frac{134}{169}}$$return {
["body"] = 220,
["id"] = "b0ajcW_1204_0522",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 4.792899408284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 810,
["jmenovatel"] = 169 },
["render"] = "\\frac{6480}{1352}",
["typ"] = "cislo" },
["tex"] = "4\\frac{134}{169}",
["x"] = 4,
["y"] = 134,
["z"] = 169 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - 2\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{7} - 2\\frac{4}{7}) \\cdot 3\\frac{3}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 20",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{8} - 20}{13}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{3}{7} - 2\\frac{4}{7}) \\cdot 3\\frac{3}{13} \\cdot \\frac{3\\frac{1}{8} - 20}{13}",
["typ"] = "krat" } }
seed: Uz2LLVV8psuNWmycu6YL_0.97, bodu=258, $$1\frac{5}{9} - \frac{3\frac{2}{9} + (-18)}{2\frac{3}{8}} - 1\frac{5}{12} \cdot 2\frac{3}{12}=\textcolor{white}{4\frac{85}{144}}$$return {
["body"] = 258,
["id"] = "Y6Hglg_1204_0522",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = 4.5902777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 661,
["jmenovatel"] = 144 },
["render"] = "\\frac{661}{144}",
["typ"] = "cislo" },
["tex"] = "4\\frac{85}{144}",
["x"] = 4,
["y"] = 85,
["z"] = 144 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9} + (-18)}{2\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{9} - \\frac{3\\frac{2}{9} + (-18)}{2\\frac{3}{8}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{9} - \\frac{3\\frac{2}{9} + (-18)}{2\\frac{3}{8}} - 1\\frac{5}{12} \\cdot 2\\frac{3}{12}",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.98, bodu=155, $$1\frac{4}{8} - (-15 - 9) \cdot 3\frac{3}{8} \cdot -18 \cdot 12=\textcolor{white}{-17494{,}5}$$return {
["body"] = 155,
["id"] = "iAlJHh_1204_0522",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -17494.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34989,
["jmenovatel"] = 2 },
["render"] = "\\frac{-34989}{2}",
["typ"] = "cislo" },
["tex"] = "-17494\\frac{1}{2}",
["tex_float"] = "-17494{,}5",
["x"] = -17494,
["y"] = 1,
["z"] = 2 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-15 - 9",
["typ"] = "minus" },
["render"] = "(-15 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 12",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} \\cdot -18 \\cdot 12",
["typ"] = "krat" },
["render"] = "(-15 - 9) \\cdot 3\\frac{3}{8} \\cdot -18 \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{4}{8} - (-15 - 9) \\cdot 3\\frac{3}{8} \\cdot -18 \\cdot 12",
["typ"] = "minus" } }
seed: Uz2LLVV8psuNWmycu6YL_0.99, bodu=126, $$\frac{\frac{10}{19} \cdot 2\frac{2}{6} + (-3)}{-15} - 12=\textcolor{white}{-11\frac{754}{855}}$$return {
["body"] = 126,
["id"] = "xL9SLe_1204_0522",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -11.881871345029,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10159,
["jmenovatel"] = 855 },
["render"] = "\\frac{-10159}{855}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{754}{855}",
["x"] = -11,
["y"] = 754,
["z"] = 855 },
["seed"] = "Uz2LLVV8psuNWmycu6YL_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{10}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{19} \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{10}{19} \\cdot 2\\frac{2}{6} + (-3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{19} \\cdot 2\\frac{2}{6} + (-3)}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{19} \\cdot 2\\frac{2}{6} + (-3)}{-15} - 12",
["typ"] = "minus" } }
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