- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: etkOZy7FyTWE2oB5kZfO_0, bodu=5, $$8 \cdot 10 \cdot 4=\textcolor{white}{320}$$return {
["body"] = 5,
["id"] = "GwqvjD_1006_0844",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 320,
["jmenovatel"] = 1 },
["render"] = "\\frac{320}{1}",
["typ"] = "cislo" },
["tex"] = "320",
["x"] = 320 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10 \\cdot 4",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.01, bodu=27, $$(\frac{3}{4 + 8 + (-6 + 8)^4})^2=\textcolor{white}{\frac{9}{784}}$$return {
["body"] = 27,
["id"] = "y2sGPU_1006_0844",
["obtiznost"] = 0.334,
["reseni"] = {
["float"] = 0.011479591836735,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 784 },
["render"] = "\\frac{9}{784}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{784}",
["y"] = 9,
["z"] = 784 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.01",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 + 8",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-6 + 8)^4",
["typ"] = "mocnina" },
["render"] = "4 + 8 + (-6 + 8)^4",
["typ"] = "plus" },
["render"] = "\\frac{3}{4 + 8 + (-6 + 8)^4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3}{4 + 8 + (-6 + 8)^4})^2",
["typ"] = "mocnina" } }
seed: etkOZy7FyTWE2oB5kZfO_0.02, bodu=19, $$(4 + 8 + 2\frac{5}{6}) \cdot 6=\textcolor{white}{89}$$return {
["body"] = 19,
["id"] = "EKVRNg_1006_0844",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 1 },
["render"] = "\\frac{534}{6}",
["typ"] = "cislo" },
["tex"] = "89",
["tex_float"] = "89",
["x"] = 89 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "4 + 8 + 2\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "(4 + 8 + 2\\frac{5}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(4 + 8 + 2\\frac{5}{6}) \\cdot 6",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.03, bodu=31, $$(\frac{-10}{\frac{7}{7} - 9})^4=\textcolor{white}{2\frac{113}{256}}$$return {
["body"] = 31,
["id"] = "H583AA_1006_0844",
["obtiznost"] = 0.3824,
["reseni"] = {
["float"] = 2.44140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 256 },
["render"] = "\\frac{625}{256}",
["typ"] = "cislo" },
["tex"] = "2\\frac{113}{256}",
["x"] = 2,
["y"] = 113,
["z"] = 256 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.03",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7} - 9",
["typ"] = "minus" },
["render"] = "\\frac{-10}{\\frac{7}{7} - 9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-10}{\\frac{7}{7} - 9})^4",
["typ"] = "mocnina" } }
seed: etkOZy7FyTWE2oB5kZfO_0.04, bodu=5, $$-6 \cdot (-9 + 5) + 4=\textcolor{white}{28}$$return {
["body"] = 5,
["id"] = "IwY5QU_1006_0844",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1 },
["render"] = "\\frac{28}{1}",
["typ"] = "cislo" },
["tex"] = "28",
["x"] = 28 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 + 5",
["typ"] = "plus" },
["render"] = "(-9 + 5)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-9 + 5)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (-9 + 5) + 4",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.05, bodu=26, $$7 \cdot ((4 + 10)^2 + 8 + 3\frac{1}{2})=\textcolor{white}{1452{,}5}$$return {
["body"] = 26,
["id"] = "rQxJxn_1006_0844",
["obtiznost"] = 0.3288,
["reseni"] = {
["float"] = 1452.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2905,
["jmenovatel"] = 2 },
["render"] = "\\frac{2905}{2}",
["typ"] = "cislo" },
["tex"] = "1452\\frac{1}{2}",
["tex_float"] = "1452{,}5",
["x"] = 1452,
["y"] = 1,
["z"] = 2 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(4 + 10)^2 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "(4 + 10)^2 + 8 + 3\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "((4 + 10)^2 + 8 + 3\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot ((4 + 10)^2 + 8 + 3\\frac{1}{2})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.06, bodu=5, $$-4 \cdot (10 \cdot 5 - 10)=\textcolor{white}{-160}$$return {
["body"] = 5,
["id"] = "pNa35p_1006_0844",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 1 },
["render"] = "\\frac{-160}{1}",
["typ"] = "cislo" },
["tex"] = "-160",
["x"] = -160 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot 5 - 10",
["typ"] = "minus" },
["render"] = "(10 \\cdot 5 - 10)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (10 \\cdot 5 - 10)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.07, bodu=5, $$7 \cdot (6 - 9) \cdot 10=\textcolor{white}{-210}$$return {
["body"] = 5,
["id"] = "6cQl3p_1006_0844",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -210,
["jmenovatel"] = 1 },
["render"] = "\\frac{-210}{1}",
["typ"] = "cislo" },
["tex"] = "-210",
["x"] = -210 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "(6 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(6 - 9) \\cdot 10",
["typ"] = "krat" },
["render"] = "7 \\cdot (6 - 9) \\cdot 10",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.08, bodu=12, $$8 \cdot \frac{5 + 4}{9}=\textcolor{white}{8}$$return {
["body"] = 12,
["id"] = "lWsakY_1006_0844",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5 + 4}{9}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{5 + 4}{9}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.09, bodu=13, $$(\frac{-3}{11 + 7})^2 \cdot 5=\textcolor{white}{\frac{5}{36}}$$return {
["body"] = 13,
["id"] = "95r4SL_1006_0844",
["obtiznost"] = 0.1048,
["reseni"] = {
["float"] = 0.13888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 36 },
["render"] = "\\frac{5}{36}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{36}",
["y"] = 5,
["z"] = 36 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "\\frac{-3}{11 + 7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-3}{11 + 7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{11 + 7})^2 \\cdot 5",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.1, bodu=6, $$8 \cdot -5 \cdot (5 - 11)=\textcolor{white}{240}$$return {
["body"] = 6,
["id"] = "Q4l0Jz_1006_0844",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 240,
["jmenovatel"] = 1 },
["render"] = "\\frac{240}{1}",
["typ"] = "cislo" },
["tex"] = "240",
["tex_float"] = "240",
["x"] = 240 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["render"] = "(5 - 11)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot -5 \\cdot (5 - 11)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.11, bodu=13, $$\frac{4}{7 + 8} \cdot 7=\textcolor{white}{1\frac{13}{15}}$$return {
["body"] = 13,
["id"] = "BU6Mzz_1006_0844",
["obtiznost"] = 0.11,
["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"] = "etkOZy7FyTWE2oB5kZfO_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "\\frac{4}{7 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{7 + 8} \\cdot 7",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.12, bodu=13, $$\frac{-9}{9 \cdot 9 - (-11)}=\textcolor{white}{-\frac{9}{92}}$$return {
["body"] = 13,
["id"] = "Rn0qxN_1006_0844",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = -0.097826086956522,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 92 },
["render"] = "\\frac{-9}{92}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{92}",
["y"] = -9,
["z"] = 92 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{-9}{9 \\cdot 9 - (-11)}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.13, bodu=14, $$(7 - \frac{7}{4}) \cdot -3=\textcolor{white}{-15{,}75}$$return {
["body"] = 14,
["id"] = "fzlYdg_1006_0844",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -15.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -63,
["jmenovatel"] = 4 },
["render"] = "\\frac{-63}{4}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{3}{4}",
["tex_float"] = "-15{,}75",
["x"] = -15,
["y"] = 3,
["z"] = 4 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{7}{4}",
["typ"] = "minus" },
["render"] = "(7 - \\frac{7}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(7 - \\frac{7}{4}) \\cdot -3",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.14, bodu=27, $$11 - 8 - \frac{3\frac{1}{5}}{5}=\textcolor{white}{2{,}36}$$return {
["body"] = 27,
["id"] = "JEEsB8_1006_0844",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 2.36,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 25 },
["render"] = "\\frac{59}{25}",
["typ"] = "cislo" },
["tex"] = "2\\frac{9}{25}",
["tex_float"] = "2{,}36",
["x"] = 2,
["y"] = 9,
["z"] = 25 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{5}",
["typ"] = "lomeno" },
["render"] = "11 - 8 - \\frac{3\\frac{1}{5}}{5}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.15, bodu=15, $$(\frac{12}{-9})^2 - (8 + 2)=\textcolor{white}{-8\frac{2}{9}}$$return {
["body"] = 15,
["id"] = "qgM5n8_1006_0844",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -8.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -74,
["jmenovatel"] = 9 },
["render"] = "\\frac{-74}{9}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{2}{9}",
["x"] = -8,
["y"] = 2,
["z"] = 9 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{-9})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "8 + 2",
["typ"] = "plus" },
["render"] = "(8 + 2)",
["typ"] = "zavorka" },
["render"] = "(\\frac{12}{-9})^2 - (8 + 2)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.16, bodu=15, $$\frac{-2}{7} \cdot (7 - (-11))=\textcolor{white}{-5\frac{1}{7}}$$return {
["body"] = 15,
["id"] = "RiiwJA_1006_0844",
["obtiznost"] = 0.16,
["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"] = "etkOZy7FyTWE2oB5kZfO_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 - (-11)",
["typ"] = "minus" },
["render"] = "(7 - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{-2}{7} \\cdot (7 - (-11))",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.17, bodu=16, $$\frac{-6 - 10}{9} + (-11)=\textcolor{white}{-12\frac{7}{9}}$$return {
["body"] = 16,
["id"] = "0eV9LW_1006_0844",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -12.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115,
["jmenovatel"] = 9 },
["render"] = "\\frac{-115}{9}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{7}{9}",
["x"] = -12,
["y"] = 7,
["z"] = 9 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 10}{9} + (-11)",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.18, bodu=8, $$(10 - 8) \cdot (7 + 12)=\textcolor{white}{38}$$return {
["body"] = 8,
["id"] = "phnllE_1006_0844",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 1 },
["render"] = "\\frac{38}{1}",
["typ"] = "cislo" },
["tex"] = "38",
["tex_float"] = "38",
["x"] = 38 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["render"] = "(10 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["render"] = "(7 + 12)",
["typ"] = "zavorka" },
["render"] = "(10 - 8) \\cdot (7 + 12)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.19, bodu=31, $$1\frac{4}{6} - \frac{5}{5} - 7=\textcolor{white}{-6\frac{1}{3}}$$return {
["body"] = 31,
["id"] = "htDgZm_1006_0844",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -6.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 3 },
["render"] = "\\frac{-19}{3}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{1}{3}",
["x"] = -6,
["y"] = 1,
["z"] = 3 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{6} - \\frac{5}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - \\frac{5}{5} - 7",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.2, bodu=9, $$-6 \cdot 7 - (-11 \cdot 10)=\textcolor{white}{68}$$return {
["body"] = 9,
["id"] = "yU9HHW_1006_0844",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 68,
["jmenovatel"] = 1 },
["render"] = "\\frac{68}{1}",
["typ"] = "cislo" },
["tex"] = "68",
["tex_float"] = "68",
["x"] = 68 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 10",
["typ"] = "krat" },
["render"] = "-6 \\cdot 7 - (-11 \\cdot 10)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.21, bodu=21, $$(\frac{\frac{4 \cdot 9}{2}}{12})^4=\textcolor{white}{5\frac{1}{16}}$$return {
["body"] = 21,
["id"] = "s49KWq_1006_0844",
["obtiznost"] = 0.2488,
["reseni"] = {
["float"] = 5.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 16 },
["render"] = "\\frac{81}{16}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{16}",
["x"] = 5,
["y"] = 1,
["z"] = 16 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.21",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 9}{2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4 \\cdot 9}{2}}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{\\frac{4 \\cdot 9}{2}}{12})^4",
["typ"] = "mocnina" } }
seed: etkOZy7FyTWE2oB5kZfO_0.22, bodu=13, $$(8 + 14 \cdot 9) \cdot (-6 + 10)^4=\textcolor{white}{34304}$$return {
["body"] = 13,
["id"] = "KDVemE_1006_0844",
["obtiznost"] = 0.3228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 34304,
["jmenovatel"] = 1 },
["render"] = "\\frac{34304}{1}",
["typ"] = "cislo" },
["tex"] = "34304",
["x"] = 34304 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 \\cdot 9",
["typ"] = "krat" },
["render"] = "8 + 14 \\cdot 9",
["typ"] = "plus" },
["render"] = "(8 + 14 \\cdot 9)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-6 + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-6 + 10)^4",
["typ"] = "mocnina" },
["render"] = "(8 + 14 \\cdot 9) \\cdot (-6 + 10)^4",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.23, bodu=19, $$\frac{5}{12 \cdot 10} - 7=\textcolor{white}{-6\frac{23}{24}}$$return {
["body"] = 19,
["id"] = "edG6fN_1006_0844",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -6.9583333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -167,
["jmenovatel"] = 24 },
["render"] = "\\frac{-167}{24}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{23}{24}",
["x"] = -6,
["y"] = 23,
["z"] = 24 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{5}{12 \\cdot 10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{12 \\cdot 10} - 7",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.24, bodu=25, $$(\frac{7}{-11})^2 \cdot 7 + 10=\textcolor{white}{12\frac{101}{121}}$$return {
["body"] = 25,
["id"] = "FHs165_1006_0844",
["obtiznost"] = 0.308,
["reseni"] = {
["float"] = 12.834710743802,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1553,
["jmenovatel"] = 121 },
["render"] = "\\frac{1553}{121}",
["typ"] = "cislo" },
["tex"] = "12\\frac{101}{121}",
["x"] = 12,
["y"] = 101,
["z"] = 121 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-11})^2 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-11})^2 \\cdot 7 + 10",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.25, bodu=21, $$3 - \frac{5}{\frac{8}{13}}=\textcolor{white}{-5{,}125}$$return {
["body"] = 21,
["id"] = "OdNL9V_1006_0844",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -5.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41,
["jmenovatel"] = 8 },
["render"] = "\\frac{-41}{8}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{8}",
["tex_float"] = "-5{,}125",
["x"] = -5,
["y"] = 1,
["z"] = 8 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{8}{13}}",
["typ"] = "lomeno" },
["render"] = "3 - \\frac{5}{\\frac{8}{13}}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.26, bodu=21, $$-10 - \frac{7 - (-10)}{7}=\textcolor{white}{-12\frac{3}{7}}$$return {
["body"] = 21,
["id"] = "lL4UHX_1006_0844",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -12.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 7 },
["render"] = "\\frac{-87}{7}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3}{7}",
["x"] = -12,
["y"] = 3,
["z"] = 7 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7 - (-10)}{7}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{7 - (-10)}{7}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.27, bodu=22, $$\frac{-10}{9} + \frac{8}{11}=\textcolor{white}{-\frac{38}{99}}$$return {
["body"] = 22,
["id"] = "2GeR4R_1006_0844",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.38383838383838,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 99 },
["render"] = "\\frac{-38}{99}",
["typ"] = "cislo" },
["tex"] = "-\\frac{38}{99}",
["y"] = -38,
["z"] = 99 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["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" },
["render"] = "\\frac{-10}{9} + \\frac{8}{11}",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.28, bodu=11, $$-12 \cdot 10 \cdot 7 \cdot 10=\textcolor{white}{-8400}$$return {
["body"] = 11,
["id"] = "Fu21QI_1006_0844",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8400,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8400}{1}",
["typ"] = "cislo" },
["tex"] = "-8400",
["tex_float"] = "-8400",
["x"] = -8400 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["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"] = "-12 \\cdot 10 \\cdot 7 \\cdot 10",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.29, bodu=40, $$-6 \cdot 6 \cdot (3 + 3\frac{2}{7})=\textcolor{white}{-226\frac{2}{7}}$$return {
["body"] = 40,
["id"] = "rlRGRR_1006_0844",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -226.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1584,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1584}{7}",
["typ"] = "cislo" },
["tex"] = "-226\\frac{2}{7}",
["x"] = -226,
["y"] = 2,
["z"] = 7 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3 + 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3 + 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot 6 \\cdot (3 + 3\\frac{2}{7})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.3, bodu=41, $$(7 - 2\frac{3}{9}) \cdot (8 \cdot -4 + 9)=\textcolor{white}{-107\frac{1}{3}}$$return {
["body"] = 41,
["id"] = "F2agxo_1006_0844",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -107.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -322,
["jmenovatel"] = 3 },
["render"] = "\\frac{-322}{3}",
["typ"] = "cislo" },
["tex"] = "-107\\frac{1}{3}",
["x"] = -107,
["y"] = 1,
["z"] = 3 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(7 - 2\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot -4 + 9",
["typ"] = "plus" },
["render"] = "(8 \\cdot -4 + 9)",
["typ"] = "zavorka" },
["render"] = "(7 - 2\\frac{3}{9}) \\cdot (8 \\cdot -4 + 9)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.31, bodu=43, $$(\frac{7}{7 \cdot 8})^3 - (-7)=\textcolor{white}{7\frac{1}{512}}$$return {
["body"] = 43,
["id"] = "A0cJv8_1006_0844",
["obtiznost"] = 0.5152,
["reseni"] = {
["float"] = 7.001953125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3585,
["jmenovatel"] = 512 },
["render"] = "\\frac{3585}{512}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{512}",
["x"] = 7,
["y"] = 1,
["z"] = 512 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{7}{7 \\cdot 8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{7 \\cdot 8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{7 \\cdot 8})^3 - (-7)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.32, bodu=26, $$\frac{-8 - 14}{3 \cdot 12}=\textcolor{white}{-\frac{11}{18}}$$return {
["body"] = 26,
["id"] = "FPHci3_1006_0844",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.61111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 18 },
["render"] = "\\frac{-22}{36}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{18}",
["y"] = -11,
["z"] = 18 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{-8 - 14}{3 \\cdot 12}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.33, bodu=27, $$\frac{-5}{\frac{5 - 4}{9}}=\textcolor{white}{-45}$$return {
["body"] = 27,
["id"] = "Hb1KsB_1006_0844",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 1 },
["render"] = "\\frac{-45}{1}",
["typ"] = "cislo" },
["tex"] = "-45",
["tex_float"] = "-45",
["x"] = -45 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5 - 4}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-5}{\\frac{5 - 4}{9}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.34, bodu=67, $$3\frac{3}{7} \cdot \frac{6}{-15 + 4\frac{1}{4}}=\textcolor{white}{-1\frac{275}{301}}$$return {
["body"] = 67,
["id"] = "31EEt5_1006_0844",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -1.9136212624585,
["objekt"] = {
["hodnota"] = {
["citatel"] = -576,
["jmenovatel"] = 301 },
["render"] = "\\frac{-576}{301}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{275}{301}",
["x"] = -1,
["y"] = 275,
["z"] = 301 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-15 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{6}{-15 + 4\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{7} \\cdot \\frac{6}{-15 + 4\\frac{1}{4}}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.35, bodu=40, $$\frac{-10}{12 + (-5 + (-7 + 14)^3)}=\textcolor{white}{-\frac{1}{35}}$$return {
["body"] = 40,
["id"] = "aFBgBT_1006_0844",
["obtiznost"] = 0.4876,
["reseni"] = {
["float"] = -0.028571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 35 },
["render"] = "\\frac{-10}{350}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{35}",
["y"] = -1,
["z"] = 35 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-7 + 14",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 14)^3",
["typ"] = "mocnina" },
["render"] = "-5 + (-7 + 14)^3",
["typ"] = "plus" },
["render"] = "12 + (-5 + (-7 + 14)^3)",
["typ"] = "plus" },
["render"] = "\\frac{-10}{12 + (-5 + (-7 + 14)^3)}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.36, bodu=47, $$\frac{2\frac{3}{6} \cdot -11}{-12 \cdot -11}=\textcolor{white}{-\frac{5}{24}}$$return {
["body"] = 47,
["id"] = "wGMaPL_1006_0844",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -0.20833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 24 },
["render"] = "\\frac{-55}{264}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{24}",
["y"] = -5,
["z"] = 24 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{6} \\cdot -11}{-12 \\cdot -11}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.37, bodu=70, $$\frac{-11 \cdot 3\frac{4}{5}}{1\frac{2}{7} \cdot 6}=\textcolor{white}{-5\frac{113}{270}}$$return {
["body"] = 70,
["id"] = "MK6oY6_1006_0844",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -5.4185185185185,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1463,
["jmenovatel"] = 270 },
["render"] = "\\frac{-1463}{270}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{113}{270}",
["x"] = -5,
["y"] = 113,
["z"] = 270 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 3\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-11 \\cdot 3\\frac{4}{5}}{1\\frac{2}{7} \\cdot 6}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.38, bodu=97, $$(15 + 1\frac{1}{3} + 3) \cdot (3\frac{4}{6} + 12 + 3\frac{5}{6})=\textcolor{white}{377}$$return {
["body"] = 97,
["id"] = "FWT3hf_1006_0844",
["obtiznost"] = 0.98,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 377,
["jmenovatel"] = 1 },
["render"] = "\\frac{2262}{6}",
["typ"] = "cislo" },
["tex"] = "377",
["tex_float"] = "377",
["x"] = 377 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "15 + 1\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "15 + 1\\frac{1}{3} + 3",
["typ"] = "plus" },
["render"] = "(15 + 1\\frac{1}{3} + 3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} + 12 + 3\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{6} + 12 + 3\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "(15 + 1\\frac{1}{3} + 3) \\cdot (3\\frac{4}{6} + 12 + 3\\frac{5}{6})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.39, bodu=33, $$-14 \cdot 9 \cdot (\frac{-9}{6})^3=\textcolor{white}{425{,}25}$$return {
["body"] = 33,
["id"] = "LRNcSd_1006_0844",
["obtiznost"] = 0.404,
["reseni"] = {
["float"] = 425.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1701,
["jmenovatel"] = 4 },
["render"] = "\\frac{3402}{8}",
["typ"] = "cislo" },
["tex"] = "425\\frac{1}{4}",
["tex_float"] = "425{,}25",
["x"] = 425,
["y"] = 1,
["z"] = 4 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{-9}{6})^3",
["typ"] = "mocnina" },
["render"] = "-14 \\cdot 9 \\cdot (\\frac{-9}{6})^3",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.4, bodu=32, $$10 + 9 + \frac{11}{7 \cdot 10}=\textcolor{white}{19\frac{11}{70}}$$return {
["body"] = 32,
["id"] = "uyxL5l_1006_0844",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 19.157142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1341,
["jmenovatel"] = 70 },
["render"] = "\\frac{1341}{70}",
["typ"] = "cislo" },
["tex"] = "19\\frac{11}{70}",
["x"] = 19,
["y"] = 11,
["z"] = 70 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["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"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{11}{7 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "10 + 9 + \\frac{11}{7 \\cdot 10}",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.41, bodu=52, $$13 \cdot 10 \cdot (2\frac{3}{10} - 12) \cdot 9=\textcolor{white}{-11349}$$return {
["body"] = 52,
["id"] = "VliymV_1006_0844",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -11349,
["jmenovatel"] = 1 },
["render"] = "\\frac{-113490}{10}",
["typ"] = "cislo" },
["tex"] = "-11349",
["tex_float"] = "-11349",
["x"] = -11349 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.41",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 12",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} - 12) \\cdot 9",
["typ"] = "krat" },
["render"] = "13 \\cdot 10 \\cdot (2\\frac{3}{10} - 12) \\cdot 9",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.42, bodu=34, $$\frac{\frac{8 + 15}{6}}{-5 \cdot 13}=\textcolor{white}{-\frac{23}{390}}$$return {
["body"] = 34,
["id"] = "KpgFq1_1006_0844",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -0.058974358974359,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 390 },
["render"] = "\\frac{23}{-390}",
["typ"] = "cislo" },
["tex"] = "-\\frac{23}{390}",
["y"] = -23,
["z"] = 390 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 + 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 15}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{8 + 15}{6}}{-5 \\cdot 13}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.43, bodu=78, $$(11 + \frac{6}{\frac{2\frac{5}{11}}{1\frac{4}{8}}}) \cdot 3=\textcolor{white}{44}$$return {
["body"] = 78,
["id"] = "GyYgmn_1006_0844",
["obtiznost"] = 0.83,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 1 },
["render"] = "\\frac{132}{3}",
["typ"] = "cislo" },
["tex"] = "44",
["x"] = 44 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{2\\frac{5}{11}}{1\\frac{4}{8}}}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{6}{\\frac{2\\frac{5}{11}}{1\\frac{4}{8}}}",
["typ"] = "plus" },
["render"] = "(11 + \\frac{6}{\\frac{2\\frac{5}{11}}{1\\frac{4}{8}}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(11 + \\frac{6}{\\frac{2\\frac{5}{11}}{1\\frac{4}{8}}}) \\cdot 3",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.44, bodu=86, $$\frac{(\frac{8}{-9})^2}{3\frac{4}{10} + (-7 + 8) - 4\frac{4}{7}}=\textcolor{white}{-4\frac{148}{243}}$$return {
["body"] = 86,
["id"] = "ajwkAB_1006_0844",
["obtiznost"] = 0.898,
["reseni"] = {
["float"] = -4.6090534979424,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1120,
["jmenovatel"] = 243 },
["render"] = "\\frac{2240}{-486}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{148}{243}",
["x"] = -4,
["y"] = 148,
["z"] = 243 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 + 8",
["typ"] = "plus" },
["render"] = "3\\frac{4}{10} + (-7 + 8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + (-7 + 8) - 4\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{8}{-9})^2}{3\\frac{4}{10} + (-7 + 8) - 4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.45, bodu=18, $$-12 - 11 \cdot 9 + 12 - (-12)=\textcolor{white}{-87}$$return {
["body"] = 18,
["id"] = "lOhbzq_1006_0844",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 1 },
["render"] = "\\frac{-87}{1}",
["typ"] = "cislo" },
["tex"] = "-87",
["tex_float"] = "-87",
["x"] = -87 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["render"] = "-12 - 11 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 - (-12)",
["typ"] = "minus" },
["render"] = "-12 - 11 \\cdot 9 + 12 - (-12)",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.46, bodu=56, $$-10 \cdot \frac{(\frac{5}{7})^3}{10}=\textcolor{white}{-\frac{125}{343}}$$return {
["body"] = 56,
["id"] = "BJZk7h_1006_0844",
["obtiznost"] = 0.6472,
["reseni"] = {
["float"] = -0.36443148688047,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 343 },
["render"] = "\\frac{-250}{686}",
["typ"] = "cislo" },
["tex"] = "-\\frac{125}{343}",
["y"] = -125,
["z"] = 343 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{5}{7})^3}{10}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{(\\frac{5}{7})^3}{10}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.47, bodu=83, $$10 + 1\frac{5}{11} \cdot \frac{-4}{4\frac{5}{8} - (-16)}=\textcolor{white}{9\frac{1303}{1815}}$$return {
["body"] = 83,
["id"] = "Nzha3w_1006_0844",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 9.7179063360882,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17638,
["jmenovatel"] = 1815 },
["render"] = "\\frac{17638}{1815}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1303}{1815}",
["x"] = 9,
["y"] = 1303,
["z"] = 1815 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - (-16)",
["typ"] = "minus" },
["render"] = "\\frac{-4}{4\\frac{5}{8} - (-16)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} \\cdot \\frac{-4}{4\\frac{5}{8} - (-16)}",
["typ"] = "krat" },
["render"] = "10 + 1\\frac{5}{11} \\cdot \\frac{-4}{4\\frac{5}{8} - (-16)}",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.48, bodu=84, $$\frac{16 - (-16 - 4\frac{2}{7})}{-8 + (-13 - 4\frac{5}{7})}=\textcolor{white}{-1\frac{37}{90}}$$return {
["body"] = 84,
["id"] = "GzQJ3t_1006_0844",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -1.4111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127,
["jmenovatel"] = 90 },
["render"] = "\\frac{1778}{-1260}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{37}{90}",
["x"] = -1,
["y"] = 37,
["z"] = 90 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(-16 - 4\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "16 - (-16 - 4\\frac{2}{7})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-13 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "-8 + (-13 - 4\\frac{5}{7})",
["typ"] = "plus" },
["render"] = "\\frac{16 - (-16 - 4\\frac{2}{7})}{-8 + (-13 - 4\\frac{5}{7})}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.49, bodu=61, $$\frac{6}{\frac{3\frac{4}{8}}{\frac{8}{-15}}}=\textcolor{white}{-\frac{32}{35}}$$return {
["body"] = 61,
["id"] = "GzLIRJ_1006_0844",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -0.91428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 35 },
["render"] = "\\frac{96}{-105}",
["typ"] = "cislo" },
["tex"] = "-\\frac{32}{35}",
["y"] = -32,
["z"] = 35 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{8}}{\\frac{8}{-15}}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{3\\frac{4}{8}}{\\frac{8}{-15}}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.5, bodu=41, $$\frac{12}{13 + (-9 \cdot -11 - 16)}=\textcolor{white}{0{,}125}$$return {
["body"] = 41,
["id"] = "qPQHVm_1006_0844",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{12}{96}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -11 - 16",
["typ"] = "minus" },
["render"] = "13 + (-9 \\cdot -11 - 16)",
["typ"] = "plus" },
["render"] = "\\frac{12}{13 + (-9 \\cdot -11 - 16)}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.51, bodu=88, $$\frac{(8 + (-14) - (-8))^2 + 2}{4\frac{3}{6} \cdot 4\frac{5}{10}}=\textcolor{white}{\frac{8}{27}}$$return {
["body"] = 88,
["id"] = "hRTyRN_1006_0844",
["obtiznost"] = 0.912,
["reseni"] = {
["float"] = 0.2962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 27 },
["render"] = "\\frac{24}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{27}",
["y"] = 8,
["z"] = 27 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "8 + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + (-14) - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 + (-14) - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(8 + (-14) - (-8))^2 + 2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{(8 + (-14) - (-8))^2 + 2}{4\\frac{3}{6} \\cdot 4\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.52, bodu=64, $$18 \cdot 12 + (-5 + \frac{2\frac{2}{8}}{-11})=\textcolor{white}{210\frac{35}{44}}$$return {
["body"] = 64,
["id"] = "GhBrMc_1006_0844",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 210.79545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9275,
["jmenovatel"] = 44 },
["render"] = "\\frac{9275}{44}",
["typ"] = "cislo" },
["tex"] = "210\\frac{35}{44}",
["x"] = 210,
["y"] = 35,
["z"] = 44 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.52",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-11}",
["typ"] = "lomeno" },
["render"] = "-5 + \\frac{2\\frac{2}{8}}{-11}",
["typ"] = "plus" },
["render"] = "18 \\cdot 12 + (-5 + \\frac{2\\frac{2}{8}}{-11})",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.53, bodu=99, $$\frac{1\frac{2}{7} \cdot -13 \cdot (-7 - 6)^2}{2\frac{2}{7}}=\textcolor{white}{-1235\frac{13}{16}}$$return {
["body"] = 99,
["id"] = "wsW6ch_1006_0844",
["obtiznost"] = 0.998,
["reseni"] = {
["float"] = -1235.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19773,
["jmenovatel"] = 16 },
["render"] = "\\frac{-138411}{112}",
["typ"] = "cislo" },
["tex"] = "-1235\\frac{13}{16}",
["x"] = -1235,
["y"] = 13,
["z"] = 16 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 6)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{7} \\cdot -13 \\cdot (-7 - 6)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7} \\cdot -13 \\cdot (-7 - 6)^2}{2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.54, bodu=109, $$\frac{6 \cdot 14}{2\frac{2}{6} + 3\frac{5}{10} - (-5 + (-13))^2}=\textcolor{white}{-\frac{504}{1909}}$$return {
["body"] = 109,
["id"] = "hjBHxZ_1006_0844",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -0.26401257202724,
["objekt"] = {
["hodnota"] = {
["citatel"] = -504,
["jmenovatel"] = 1909 },
["render"] = "\\frac{504}{-1909}",
["typ"] = "cislo" },
["tex"] = "-\\frac{504}{1909}",
["y"] = -504,
["z"] = 1909 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "6 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-5 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{6} + 3\\frac{5}{10} - (-5 + (-13))^2",
["typ"] = "minus" },
["render"] = "\\frac{6 \\cdot 14}{2\\frac{2}{6} + 3\\frac{5}{10} - (-5 + (-13))^2}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.55, bodu=68, $$\frac{10}{\frac{13 \cdot -8}{-2 + 3\frac{5}{11}}}=\textcolor{white}{-\frac{20}{143}}$$return {
["body"] = 68,
["id"] = "zC3EZ9_1006_0844",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -0.13986013986014,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 143 },
["render"] = "\\frac{20}{-143}",
["typ"] = "cislo" },
["tex"] = "-\\frac{20}{143}",
["y"] = -20,
["z"] = 143 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-2 + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{13 \\cdot -8}{-2 + 3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{13 \\cdot -8}{-2 + 3\\frac{5}{11}}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.56, bodu=82, $$-15 \cdot -9 \cdot (2\frac{2}{10} - (\frac{-13}{10})^2)=\textcolor{white}{68{,}85}$$return {
["body"] = 82,
["id"] = "Sh5BQ8_1006_0844",
["obtiznost"] = 0.8676,
["reseni"] = {
["float"] = 68.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1377,
["jmenovatel"] = 20 },
["render"] = "\\frac{6885}{100}",
["typ"] = "cislo" },
["tex"] = "68\\frac{17}{20}",
["tex_float"] = "68{,}85",
["x"] = 68,
["y"] = 17,
["z"] = 20 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{10})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{10} - (\\frac{-13}{10})^2",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{10} - (\\frac{-13}{10})^2)",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot -9 \\cdot (2\\frac{2}{10} - (\\frac{-13}{10})^2)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.57, bodu=70, $$\frac{\frac{4}{\frac{-11}{12}}}{3\frac{3}{9}}=\textcolor{white}{-1\frac{17}{55}}$$return {
["body"] = 70,
["id"] = "FLMaCR_1006_0844",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -1.3090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 55 },
["render"] = "\\frac{-144}{110}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{17}{55}",
["x"] = -1,
["y"] = 17,
["z"] = 55 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{-11}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{\\frac{-11}{12}}}{3\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.58, bodu=125, $$\frac{2\frac{1}{5}}{(2\frac{1}{2} - 1\frac{5}{10}) \cdot -6 \cdot 5}=\textcolor{white}{-\frac{11}{150}}$$return {
["body"] = 125,
["id"] = "AL0gNB_1006_0844",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -0.073333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 150 },
["render"] = "\\frac{11}{-150}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{150}",
["y"] = -11,
["z"] = 150 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{2} - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5",
["typ"] = "krat" },
["render"] = "(2\\frac{1}{2} - 1\\frac{5}{10}) \\cdot -6 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{5}}{(2\\frac{1}{2} - 1\\frac{5}{10}) \\cdot -6 \\cdot 5}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.59, bodu=112, $$\frac{1\frac{1}{6}}{\frac{4}{4\frac{2}{9}}} \cdot (-8 + 12)^4=\textcolor{white}{315\frac{7}{27}}$$return {
["body"] = 112,
["id"] = "lyomrd_1006_0844",
["obtiznost"] = 1.0928,
["reseni"] = {
["float"] = 315.25925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8512,
["jmenovatel"] = 27 },
["render"] = "\\frac{34048}{108}",
["typ"] = "cislo" },
["tex"] = "315\\frac{7}{27}",
["x"] = 315,
["y"] = 7,
["z"] = 27 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{4\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{1}{6}}{\\frac{4}{4\\frac{2}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-8 + 12)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{1}{6}}{\\frac{4}{4\\frac{2}{9}}} \\cdot (-8 + 12)^4",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.6, bodu=74, $$(-8 + 2\frac{4}{10}) \cdot (-8 + (-15)) \cdot \frac{-6}{11}=\textcolor{white}{-70\frac{14}{55}}$$return {
["body"] = 74,
["id"] = "kAgiH8_1006_0844",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -70.254545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3864,
["jmenovatel"] = 55 },
["render"] = "\\frac{-3864}{55}",
["typ"] = "cislo" },
["tex"] = "-70\\frac{14}{55}",
["x"] = -70,
["y"] = 14,
["z"] = 55 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(-8 + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-8 + (-15)",
["typ"] = "plus" },
["render"] = "(-8 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{11}",
["typ"] = "lomeno" },
["render"] = "(-8 + (-15)) \\cdot \\frac{-6}{11}",
["typ"] = "krat" },
["render"] = "(-8 + 2\\frac{4}{10}) \\cdot (-8 + (-15)) \\cdot \\frac{-6}{11}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.61, bodu=93, $$15 \cdot 4 + (-16 + (-11)) - (1\frac{2}{5} - 5)^2=\textcolor{white}{20{,}04}$$return {
["body"] = 93,
["id"] = "gRJd2D_1006_0844",
["obtiznost"] = 0.9496,
["reseni"] = {
["float"] = 20.04,
["objekt"] = {
["hodnota"] = {
["citatel"] = 501,
["jmenovatel"] = 25 },
["render"] = "\\frac{501}{25}",
["typ"] = "cislo" },
["tex"] = "20\\frac{1}{25}",
["tex_float"] = "20{,}04",
["x"] = 20,
["y"] = 1,
["z"] = 25 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "15 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 + (-11)",
["typ"] = "plus" },
["render"] = "15 \\cdot 4 + (-16 + (-11))",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{5} - 5)^2",
["typ"] = "mocnina" },
["render"] = "15 \\cdot 4 + (-16 + (-11)) - (1\\frac{2}{5} - 5)^2",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.62, bodu=76, $$\frac{-11 \cdot -17 \cdot 11}{\frac{-14}{4\frac{4}{10}}}=\textcolor{white}{-646\frac{17}{35}}$$return {
["body"] = 76,
["id"] = "9ysC4x_1006_0844",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -646.48571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22627,
["jmenovatel"] = 35 },
["render"] = "\\frac{22627}{-35}",
["typ"] = "cislo" },
["tex"] = "-646\\frac{17}{35}",
["x"] = -646,
["y"] = 17,
["z"] = 35 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -17 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 \\cdot -17 \\cdot 11}{\\frac{-14}{4\\frac{4}{10}}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.63, bodu=27, $$11 + 9 - (19 \cdot -16 + 15 - 10)=\textcolor{white}{319}$$return {
["body"] = 27,
["id"] = "o7DajM_1006_0844",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 319,
["jmenovatel"] = 1 },
["render"] = "\\frac{319}{1}",
["typ"] = "cislo" },
["tex"] = "319",
["x"] = 319 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "19 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "19 \\cdot -16 + 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "19 \\cdot -16 + 15 - 10",
["typ"] = "minus" },
["render"] = "(19 \\cdot -16 + 15 - 10)",
["typ"] = "zavorka" },
["render"] = "11 + 9 - (19 \\cdot -16 + 15 - 10)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.64, bodu=134, $$\frac{\frac{-15 + 4\frac{1}{5}}{\frac{-13}{3\frac{4}{6} - (-8)}}}{4\frac{4}{10}}=\textcolor{white}{2\frac{29}{143}}$$return {
["body"] = 134,
["id"] = "YAvuUL_1006_0844",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 2.2027972027972,
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 143 },
["render"] = "\\frac{630}{286}",
["typ"] = "cislo" },
["tex"] = "2\\frac{29}{143}",
["x"] = 2,
["y"] = 29,
["z"] = 143 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-15 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{-13}{3\\frac{4}{6} - (-8)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15 + 4\\frac{1}{5}}{\\frac{-13}{3\\frac{4}{6} - (-8)}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-15 + 4\\frac{1}{5}}{\\frac{-13}{3\\frac{4}{6} - (-8)}}}{4\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.65, bodu=106, $$13 \cdot 15 \cdot (3\frac{2}{5} + (-17)) - (1\frac{4}{9} - 18)=\textcolor{white}{-2635\frac{4}{9}}$$return {
["body"] = 106,
["id"] = "HB0VMR_1006_0844",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -2635.4444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23719,
["jmenovatel"] = 9 },
["render"] = "\\frac{-23719}{9}",
["typ"] = "cislo" },
["tex"] = "-2635\\frac{4}{9}",
["x"] = -2635,
["y"] = 4,
["z"] = 9 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} + (-17)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{5} + (-17))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (3\\frac{2}{5} + (-17))",
["typ"] = "krat" },
["render"] = "13 \\cdot 15 \\cdot (3\\frac{2}{5} + (-17))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 18",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - 18)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot 15 \\cdot (3\\frac{2}{5} + (-17)) - (1\\frac{4}{9} - 18)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.66, bodu=74, $$\frac{-8}{11} \cdot \frac{-5}{(-9 - 10)^2}=\textcolor{white}{\frac{40}{3971}}$$return {
["body"] = 74,
["id"] = "ll99Oj_1006_0844",
["obtiznost"] = 0.8048,
["reseni"] = {
["float"] = 0.010073029463611,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 3971 },
["render"] = "\\frac{40}{3971}",
["typ"] = "cislo" },
["tex"] = "\\frac{40}{3971}",
["y"] = 40,
["z"] = 3971 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.66",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - 10)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-5}{(-9 - 10)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{11} \\cdot \\frac{-5}{(-9 - 10)^2}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.67, bodu=204, $$\frac{-14}{3\frac{5}{11} + 2\frac{5}{7} - 2\frac{4}{8} \cdot 2\frac{3}{11}} - 4\frac{2}{8}=\textcolor{white}{-32\frac{299}{300}}$$return {
["body"] = 204,
["id"] = "26xJQ6_1006_0844",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -32.996666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9899,
["jmenovatel"] = 300 },
["render"] = "\\frac{-9899}{300}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{299}{300}",
["x"] = -32,
["y"] = 299,
["z"] = 300 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot 2\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{7} - 2\\frac{4}{8} \\cdot 2\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "3\\frac{5}{11} + 2\\frac{5}{7} - 2\\frac{4}{8} \\cdot 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{-14}{3\\frac{5}{11} + 2\\frac{5}{7} - 2\\frac{4}{8} \\cdot 2\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{3\\frac{5}{11} + 2\\frac{5}{7} - 2\\frac{4}{8} \\cdot 2\\frac{3}{11}} - 4\\frac{2}{8}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.68, bodu=84, $$\frac{(9 + 2\frac{3}{7}) \cdot (-13 + 11)^3 \cdot 8}{-6}=\textcolor{white}{121\frac{19}{21}}$$return {
["body"] = 84,
["id"] = "BINxD9_1006_0844",
["obtiznost"] = 0.8836,
["reseni"] = {
["float"] = 121.90476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2560,
["jmenovatel"] = 21 },
["render"] = "\\frac{-5120}{-42}",
["typ"] = "cislo" },
["tex"] = "121\\frac{19}{21}",
["x"] = 121,
["y"] = 19,
["z"] = 21 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-13 + 11)^3 \\cdot 8",
["typ"] = "krat" },
["render"] = "(9 + 2\\frac{3}{7}) \\cdot (-13 + 11)^3 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{(9 + 2\\frac{3}{7}) \\cdot (-13 + 11)^3 \\cdot 8}{-6}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.69, bodu=112, $$2\frac{2}{7} - \frac{-8 \cdot (4\frac{1}{2} - (-12))}{-7}=\textcolor{white}{-16\frac{4}{7}}$$return {
["body"] = 112,
["id"] = "CGDGsL_1006_0844",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -16.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -116,
["jmenovatel"] = 7 },
["render"] = "\\frac{-116}{7}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{4}{7}",
["x"] = -16,
["y"] = 4,
["z"] = 7 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} - (-12)",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{2} - (-12))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (4\\frac{1}{2} - (-12))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot (4\\frac{1}{2} - (-12))}{-7}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{7} - \\frac{-8 \\cdot (4\\frac{1}{2} - (-12))}{-7}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.7, bodu=121, $$\frac{9 \cdot \frac{20}{2\frac{1}{7}}}{(14 + 11)^2}=\textcolor{white}{\frac{84}{625}}$$return {
["body"] = 121,
["id"] = "G1gblM_1006_0844",
["obtiznost"] = 1.1504,
["reseni"] = {
["float"] = 0.1344,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 625 },
["render"] = "\\frac{84}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{84}{625}",
["y"] = 84,
["z"] = 625 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{20}{2\\frac{1}{7}}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9 \\cdot \\frac{20}{2\\frac{1}{7}}}{(14 + 11)^2}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.71, bodu=144, $$10 - ((-10 + 1\frac{1}{2}) \cdot 4\frac{3}{4} \cdot -8 - 1\frac{3}{9})=\textcolor{white}{-311\frac{2}{3}}$$return {
["body"] = 144,
["id"] = "wBAGYw_1006_0844",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -311.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -935,
["jmenovatel"] = 3 },
["render"] = "\\frac{-935}{3}",
["typ"] = "cislo" },
["tex"] = "-311\\frac{2}{3}",
["x"] = -311,
["y"] = 2,
["z"] = 3 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-10 + 1\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(-10 + 1\\frac{1}{2})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "(-10 + 1\\frac{1}{2}) \\cdot 4\\frac{3}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-10 + 1\\frac{1}{2}) \\cdot 4\\frac{3}{4} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(-10 + 1\\frac{1}{2}) \\cdot 4\\frac{3}{4} \\cdot -8 - 1\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "((-10 + 1\\frac{1}{2}) \\cdot 4\\frac{3}{4} \\cdot -8 - 1\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "10 - ((-10 + 1\\frac{1}{2}) \\cdot 4\\frac{3}{4} \\cdot -8 - 1\\frac{3}{9})",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.72, bodu=178, $$-14 - (16 + (-15 - 2\frac{4}{7} + 4\frac{3}{10} + 2\frac{2}{7}) - 1\frac{4}{6})=\textcolor{white}{-17\frac{73}{210}}$$return {
["body"] = 178,
["id"] = "2HzNFu_1006_0844",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -17.347619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3643,
["jmenovatel"] = 210 },
["render"] = "\\frac{-3643}{210}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{73}{210}",
["x"] = -17,
["y"] = 73,
["z"] = 210 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-15 - 2\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-15 - 2\\frac{4}{7} + 4\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-15 - 2\\frac{4}{7} + 4\\frac{3}{10} + 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "16 + (-15 - 2\\frac{4}{7} + 4\\frac{3}{10} + 2\\frac{2}{7})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "16 + (-15 - 2\\frac{4}{7} + 4\\frac{3}{10} + 2\\frac{2}{7}) - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(16 + (-15 - 2\\frac{4}{7} + 4\\frac{3}{10} + 2\\frac{2}{7}) - 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-14 - (16 + (-15 - 2\\frac{4}{7} + 4\\frac{3}{10} + 2\\frac{2}{7}) - 1\\frac{4}{6})",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.73, bodu=66, $$(\frac{18}{12} - (-9 \cdot -7)) \cdot -17=\textcolor{white}{1045{,}5}$$return {
["body"] = 66,
["id"] = "xBCXRK_1006_0844",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 1045.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2091,
["jmenovatel"] = 2 },
["render"] = "\\frac{2091}{2}",
["typ"] = "cislo" },
["tex"] = "1045\\frac{1}{2}",
["tex_float"] = "1045{,}5",
["x"] = 1045,
["y"] = 1,
["z"] = 2 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{18}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{18}{12} - (-9 \\cdot -7)",
["typ"] = "minus" },
["render"] = "(\\frac{18}{12} - (-9 \\cdot -7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(\\frac{18}{12} - (-9 \\cdot -7)) \\cdot -17",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.74, bodu=181, $$(11 - 2\frac{3}{8} \cdot 3\frac{2}{9} - 2\frac{2}{10}) \cdot 1\frac{3}{7}=\textcolor{white}{1\frac{23}{36}}$$return {
["body"] = 181,
["id"] = "su4lHn_1006_0844",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 1.6388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 36 },
["render"] = "\\frac{4130}{2520}",
["typ"] = "cislo" },
["tex"] = "1\\frac{23}{36}",
["x"] = 1,
["y"] = 23,
["z"] = 36 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "11 - 2\\frac{3}{8} \\cdot 3\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "11 - 2\\frac{3}{8} \\cdot 3\\frac{2}{9} - 2\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(11 - 2\\frac{3}{8} \\cdot 3\\frac{2}{9} - 2\\frac{2}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(11 - 2\\frac{3}{8} \\cdot 3\\frac{2}{9} - 2\\frac{2}{10}) \\cdot 1\\frac{3}{7}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.75, bodu=120, $$(12 - (-3)) \cdot (4\frac{1}{10} - 1\frac{1}{5} \cdot -17)=\textcolor{white}{367{,}5}$$return {
["body"] = 120,
["id"] = "Zz0x8q_1006_0844",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 367.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 735,
["jmenovatel"] = 2 },
["render"] = "\\frac{735}{2}",
["typ"] = "cislo" },
["tex"] = "367\\frac{1}{2}",
["tex_float"] = "367{,}5",
["x"] = 367,
["y"] = 1,
["z"] = 2 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 - (-3)",
["typ"] = "minus" },
["render"] = "(12 - (-3))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} \\cdot -17",
["typ"] = "krat" },
["render"] = "4\\frac{1}{10} - 1\\frac{1}{5} \\cdot -17",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{10} - 1\\frac{1}{5} \\cdot -17)",
["typ"] = "zavorka" },
["render"] = "(12 - (-3)) \\cdot (4\\frac{1}{10} - 1\\frac{1}{5} \\cdot -17)",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.76, bodu=36, $$8 \cdot ((5 + (-13))^2 - (-6 - (-14 \cdot 10)))=\textcolor{white}{-560}$$return {
["body"] = 36,
["id"] = "QSe6mZ_1006_0844",
["obtiznost"] = 0.786,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -560,
["jmenovatel"] = 1 },
["render"] = "\\frac{-560}{1}",
["typ"] = "cislo" },
["tex"] = "-560",
["tex_float"] = "-560",
["x"] = -560 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "5 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 10",
["typ"] = "krat" },
["render"] = "-6 - (-14 \\cdot 10)",
["typ"] = "minus" },
["render"] = "(-6 - (-14 \\cdot 10))",
["typ"] = "zavorka" },
["render"] = "(5 + (-13))^2 - (-6 - (-14 \\cdot 10))",
["typ"] = "minus" },
["render"] = "((5 + (-13))^2 - (-6 - (-14 \\cdot 10)))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot ((5 + (-13))^2 - (-6 - (-14 \\cdot 10)))",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.77, bodu=125, $$(\frac{-19}{-8} + (\frac{11}{20})^2) \cdot 4\frac{1}{9}=\textcolor{white}{11\frac{3}{400}}$$return {
["body"] = 125,
["id"] = "QgHoAW_1006_0844",
["obtiznost"] = 1.1784,
["reseni"] = {
["float"] = 11.0075,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4403,
["jmenovatel"] = 400 },
["render"] = "\\frac{39627}{3600}",
["typ"] = "cislo" },
["tex"] = "11\\frac{3}{400}",
["x"] = 11,
["y"] = 3,
["z"] = 400 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{11}{20}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{20})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-19}{-8} + (\\frac{11}{20})^2",
["typ"] = "plus" },
["render"] = "(\\frac{-19}{-8} + (\\frac{11}{20})^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{-19}{-8} + (\\frac{11}{20})^2) \\cdot 4\\frac{1}{9}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.78, bodu=116, $$\frac{\frac{-9}{-9 \cdot (14 + 15)^2}}{-15}=\textcolor{white}{-\frac{1}{12615}}$$return {
["body"] = 116,
["id"] = "IJBx4E_1006_0844",
["obtiznost"] = 1.1168,
["reseni"] = {
["float"] = -7.927070947285e-05,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 12615 },
["render"] = "\\frac{1}{-12615}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{12615}",
["y"] = -1,
["z"] = 12615 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "14 + 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + 15)^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (14 + 15)^2",
["typ"] = "krat" },
["render"] = "\\frac{-9}{-9 \\cdot (14 + 15)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{-9 \\cdot (14 + 15)^2}}{-15}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.79, bodu=98, $$\frac{-11 - (-17)}{(-8 + 1\frac{1}{4}) \cdot -5 \cdot 14}=\textcolor{white}{\frac{4}{315}}$$return {
["body"] = 98,
["id"] = "K5xAje_1006_0844",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 0.012698412698413,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 315 },
["render"] = "\\frac{12}{945}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{315}",
["y"] = 4,
["z"] = 315 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-11 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-8 + 1\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-8 + 1\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 14",
["typ"] = "krat" },
["render"] = "(-8 + 1\\frac{1}{4}) \\cdot -5 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{-11 - (-17)}{(-8 + 1\\frac{1}{4}) \\cdot -5 \\cdot 14}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.8, bodu=159, $$15 - (\frac{\frac{4\frac{2}{9} - 16}{4\frac{1}{11}}}{1\frac{2}{7}} + 16 + 15)=\textcolor{white}{-13\frac{2773}{3645}}$$return {
["body"] = 159,
["id"] = "iVn22s_1006_0844",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -13.760768175583,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50158,
["jmenovatel"] = 3645 },
["render"] = "\\frac{-50158}{3645}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{2773}{3645}",
["x"] = -13,
["y"] = 2773,
["z"] = 3645 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9} - 16}{4\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{9} - 16}{4\\frac{1}{11}}}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "16 + 15",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{2}{9} - 16}{4\\frac{1}{11}}}{1\\frac{2}{7}} + 16 + 15",
["typ"] = "plus" },
["render"] = "(\\frac{\\frac{4\\frac{2}{9} - 16}{4\\frac{1}{11}}}{1\\frac{2}{7}} + 16 + 15)",
["typ"] = "zavorka" },
["render"] = "15 - (\\frac{\\frac{4\\frac{2}{9} - 16}{4\\frac{1}{11}}}{1\\frac{2}{7}} + 16 + 15)",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.81, bodu=160, $$-12 + 3\frac{1}{5} - (2\frac{3}{5} - 19) - (9 + 4\frac{4}{7}) \cdot -13=\textcolor{white}{184\frac{1}{35}}$$return {
["body"] = 160,
["id"] = "I1b32a_1006_0844",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 184.02857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6441,
["jmenovatel"] = 35 },
["render"] = "\\frac{6441}{35}",
["typ"] = "cislo" },
["tex"] = "184\\frac{1}{35}",
["x"] = 184,
["y"] = 1,
["z"] = 35 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 19",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{5} - 19)",
["typ"] = "zavorka" },
["render"] = "-12 + 3\\frac{1}{5} - (2\\frac{3}{5} - 19)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(9 + 4\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(9 + 4\\frac{4}{7}) \\cdot -13",
["typ"] = "krat" },
["render"] = "-12 + 3\\frac{1}{5} - (2\\frac{3}{5} - 19) - (9 + 4\\frac{4}{7}) \\cdot -13",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.82, bodu=90, $$(\frac{-6}{18})^4 - (\frac{-12}{-11 + 18})^2 + 21 + 14=\textcolor{white}{32\frac{292}{3969}}$$return {
["body"] = 90,
["id"] = "hGdJZg_1006_0844",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 32.073570168808,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127300,
["jmenovatel"] = 3969 },
["render"] = "\\frac{127300}{3969}",
["typ"] = "cislo" },
["tex"] = "32\\frac{292}{3969}",
["x"] = 32,
["y"] = 292,
["z"] = 3969 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{18}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{18})^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-11 + 18",
["typ"] = "plus" },
["render"] = "\\frac{-12}{-11 + 18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{-11 + 18})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{-6}{18})^4 - (\\frac{-12}{-11 + 18})^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "21 + 14",
["typ"] = "plus" },
["render"] = "(\\frac{-6}{18})^4 - (\\frac{-12}{-11 + 18})^2 + 21 + 14",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.83, bodu=104, $$\frac{(17 + (-14))^2}{-5 \cdot 1\frac{5}{6} + (-16 \cdot -10)}=\textcolor{white}{\frac{54}{905}}$$return {
["body"] = 104,
["id"] = "etJPIl_1006_0844",
["obtiznost"] = 1.034,
["reseni"] = {
["float"] = 0.059668508287293,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 905 },
["render"] = "\\frac{54}{905}",
["typ"] = "cislo" },
["tex"] = "\\frac{54}{905}",
["y"] = 54,
["z"] = 905 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.83",
["zadani"] = {
["c1"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(17 + (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -10",
["typ"] = "krat" },
["render"] = "-5 \\cdot 1\\frac{5}{6} + (-16 \\cdot -10)",
["typ"] = "plus" },
["render"] = "\\frac{(17 + (-14))^2}{-5 \\cdot 1\\frac{5}{6} + (-16 \\cdot -10)}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.84, bodu=192, $$4\frac{3}{10} \cdot (\frac{3\frac{1}{6}}{11} + \frac{(-12 + (-18))^2}{9})=\textcolor{white}{431\frac{157}{660}}$$return {
["body"] = 192,
["id"] = "Gywu0A_1006_0844",
["obtiznost"] = 1.6004,
["reseni"] = {
["float"] = 431.23787878788,
["objekt"] = {
["hodnota"] = {
["citatel"] = 284617,
["jmenovatel"] = 660 },
["render"] = "\\frac{284617}{660}",
["typ"] = "cislo" },
["tex"] = "431\\frac{157}{660}",
["x"] = 431,
["y"] = 157,
["z"] = 660 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-12 + (-18)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-18))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(-12 + (-18))^2}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{6}}{11} + \\frac{(-12 + (-18))^2}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{1}{6}}{11} + \\frac{(-12 + (-18))^2}{9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{10} \\cdot (\\frac{3\\frac{1}{6}}{11} + \\frac{(-12 + (-18))^2}{9})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.85, bodu=167, $$\frac{4\frac{5}{11}}{\frac{1\frac{3}{6}}{12} + 20 - 4\frac{1}{10} \cdot 16}=\textcolor{white}{-\frac{1960}{20009}}$$return {
["body"] = 167,
["id"] = "0AwFXj_1006_0844",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -0.097955919836074,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1960,
["jmenovatel"] = 20009 },
["render"] = "\\frac{1960}{-20009}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1960}{20009}",
["y"] = -1960,
["z"] = 20009 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot 16",
["typ"] = "krat" },
["render"] = "20 - 4\\frac{1}{10} \\cdot 16",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{6}}{12} + 20 - 4\\frac{1}{10} \\cdot 16",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{1\\frac{3}{6}}{12} + 20 - 4\\frac{1}{10} \\cdot 16}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.86, bodu=202, $$(3\frac{4}{4} + 3\frac{3}{8}) \cdot \frac{\frac{\frac{-4}{2\frac{1}{8}}}{2\frac{2}{9}}}{2\frac{4}{11}}=\textcolor{white}{-2\frac{1421}{2210}}$$return {
["body"] = 202,
["id"] = "ZKlLOV_1006_0844",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -2.6429864253394,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5841,
["jmenovatel"] = 2210 },
["render"] = "\\frac{-23364}{8840}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1421}{2210}",
["x"] = -2,
["y"] = 1421,
["z"] = 2210 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{4} + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{4} + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{2\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-4}{2\\frac{1}{8}}}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-4}{2\\frac{1}{8}}}{2\\frac{2}{9}}}{2\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{4}{4} + 3\\frac{3}{8}) \\cdot \\frac{\\frac{\\frac{-4}{2\\frac{1}{8}}}{2\\frac{2}{9}}}{2\\frac{4}{11}}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.87, bodu=109, $$(14 - 1\frac{1}{6}) \cdot \frac{-9}{18 + 13 \cdot -23}=\textcolor{white}{\frac{231}{562}}$$return {
["body"] = 109,
["id"] = "xmJSaT_1006_0844",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.41103202846975,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 562 },
["render"] = "\\frac{693}{1686}",
["typ"] = "cislo" },
["tex"] = "\\frac{231}{562}",
["y"] = 231,
["z"] = 562 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "14 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(14 - 1\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "13 \\cdot -23",
["typ"] = "krat" },
["render"] = "18 + 13 \\cdot -23",
["typ"] = "plus" },
["render"] = "\\frac{-9}{18 + 13 \\cdot -23}",
["typ"] = "lomeno" },
["render"] = "(14 - 1\\frac{1}{6}) \\cdot \\frac{-9}{18 + 13 \\cdot -23}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.88, bodu=206, $$\frac{3\frac{1}{4} + 2\frac{2}{6} + (-12) - 1\frac{1}{6}}{(\frac{12 - 12}{2\frac{4}{6}})^3 + 2}=\textcolor{white}{-3\frac{19}{24}}$$return {
["body"] = 206,
["id"] = "om7GCb_1006_0844",
["obtiznost"] = 1.6804,
["reseni"] = {
["float"] = -3.7916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 24 },
["render"] = "\\frac{-91}{24}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{19}{24}",
["x"] = -3,
["y"] = 19,
["z"] = 24 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-12) - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{4} + 2\\frac{2}{6} + (-12) - 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12 - 12}{2\\frac{4}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12 - 12}{2\\frac{4}{6}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(\\frac{12 - 12}{2\\frac{4}{6}})^3 + 2",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{4} + 2\\frac{2}{6} + (-12) - 1\\frac{1}{6}}{(\\frac{12 - 12}{2\\frac{4}{6}})^3 + 2}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.89, bodu=175, $$\frac{2\frac{1}{7} \cdot 4\frac{2}{5}}{(7 - 4)^3 - (1\frac{3}{8} - (-12))}=\textcolor{white}{\frac{528}{763}}$$return {
["body"] = 175,
["id"] = "xveg4a_1006_0844",
["obtiznost"] = 1.5012,
["reseni"] = {
["float"] = 0.69200524246396,
["objekt"] = {
["hodnota"] = {
["citatel"] = 528,
["jmenovatel"] = 763 },
["render"] = "\\frac{528}{763}",
["typ"] = "cislo" },
["tex"] = "\\frac{528}{763}",
["y"] = 528,
["z"] = 763 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 4\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-12)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{8} - (-12))",
["typ"] = "zavorka" },
["render"] = "(7 - 4)^3 - (1\\frac{3}{8} - (-12))",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{7} \\cdot 4\\frac{2}{5}}{(7 - 4)^3 - (1\\frac{3}{8} - (-12))}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.9, bodu=143, $$\frac{5 - 2\frac{4}{9}}{(4\frac{3}{10} - (-7)) \cdot 11 + 11}=\textcolor{white}{\frac{230}{12177}}$$return {
["body"] = 143,
["id"] = "gM6eaz_1006_0844",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 0.018888067668555,
["objekt"] = {
["hodnota"] = {
["citatel"] = 230,
["jmenovatel"] = 12177 },
["render"] = "\\frac{230}{12177}",
["typ"] = "cislo" },
["tex"] = "\\frac{230}{12177}",
["y"] = 230,
["z"] = 12177 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "5 - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} - (-7)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{10} - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{10} - (-7)) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{10} - (-7)) \\cdot 11 + 11",
["typ"] = "plus" },
["render"] = "\\frac{5 - 2\\frac{4}{9}}{(4\\frac{3}{10} - (-7)) \\cdot 11 + 11}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.91, bodu=246, $$((13 - 14)^4 + 2\frac{1}{9} - 2\frac{2}{9} \cdot (-12 + 3\frac{2}{4}))^2 \cdot 2\frac{4}{10}=\textcolor{white}{1161{,}6}$$return {
["body"] = 246,
["id"] = "7YBEpS_1006_0844",
["obtiznost"] = 1.9048,
["reseni"] = {
["float"] = 1161.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5808,
["jmenovatel"] = 5 },
["render"] = "\\frac{5808}{5}",
["typ"] = "cislo" },
["tex"] = "1161\\frac{3}{5}",
["tex_float"] = "1161{,}6",
["x"] = 1161,
["y"] = 3,
["z"] = 5 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.91",
["zadani"] = {
["c1"] = {
["c"] = {
["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"] = 4,
["render"] = "(13 - 14)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(-12 + 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} \\cdot (-12 + 3\\frac{2}{4})",
["typ"] = "krat" },
["render"] = "2\\frac{1}{9} - 2\\frac{2}{9} \\cdot (-12 + 3\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "(13 - 14)^4 + 2\\frac{1}{9} - 2\\frac{2}{9} \\cdot (-12 + 3\\frac{2}{4})",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "((13 - 14)^4 + 2\\frac{1}{9} - 2\\frac{2}{9} \\cdot (-12 + 3\\frac{2}{4}))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "((13 - 14)^4 + 2\\frac{1}{9} - 2\\frac{2}{9} \\cdot (-12 + 3\\frac{2}{4}))^2 \\cdot 2\\frac{4}{10}",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.92, bodu=146, $$-13 + 7 - \frac{4\frac{4}{8} - 8}{-5 \cdot 4\frac{5}{7}}=\textcolor{white}{-6\frac{49}{330}}$$return {
["body"] = 146,
["id"] = "XybSfL_1006_0844",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -6.1484848484848,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2029,
["jmenovatel"] = 330 },
["render"] = "\\frac{-2029}{330}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{49}{330}",
["x"] = -6,
["y"] = 49,
["z"] = 330 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{8} - 8}{-5 \\cdot 4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{4\\frac{4}{8} - 8}{-5 \\cdot 4\\frac{5}{7}}",
["typ"] = "minus" },
["render"] = "-13 + 7 - \\frac{4\\frac{4}{8} - 8}{-5 \\cdot 4\\frac{5}{7}}",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.93, bodu=239, $$\frac{1\frac{2}{9}}{\frac{3\frac{3}{9}}{(2\frac{3}{4} - 9) \cdot (20 + 9)^2}}=\textcolor{white}{-1927\frac{7}{24}}$$return {
["body"] = 239,
["id"] = "1I7ptA_1006_0844",
["obtiznost"] = 1.8668,
["reseni"] = {
["float"] = -1927.2916666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -46255,
["jmenovatel"] = 24 },
["render"] = "\\frac{138765}{-72}",
["typ"] = "cislo" },
["tex"] = "-1927\\frac{7}{24}",
["x"] = -1927,
["y"] = 7,
["z"] = 24 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{4} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "20 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(20 + 9)^2",
["typ"] = "mocnina" },
["render"] = "(2\\frac{3}{4} - 9) \\cdot (20 + 9)^2",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{9}}{(2\\frac{3}{4} - 9) \\cdot (20 + 9)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{9}}{\\frac{3\\frac{3}{9}}{(2\\frac{3}{4} - 9) \\cdot (20 + 9)^2}}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.94, bodu=151, $$\frac{(-16 + 22)^2}{12} \cdot \frac{-10}{4\frac{4}{10}} - 2\frac{2}{8}=\textcolor{white}{-9\frac{3}{44}}$$return {
["body"] = 151,
["id"] = "nb9Q5T_1006_0844",
["obtiznost"] = 1.3548,
["reseni"] = {
["float"] = -9.0681818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -399,
["jmenovatel"] = 44 },
["render"] = "\\frac{-399}{44}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{3}{44}",
["x"] = -9,
["y"] = 3,
["z"] = 44 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "-16 + 22",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-16 + 22)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(-16 + 22)^2}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-16 + 22)^2}{12} \\cdot \\frac{-10}{4\\frac{4}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(-16 + 22)^2}{12} \\cdot \\frac{-10}{4\\frac{4}{10}} - 2\\frac{2}{8}",
["typ"] = "minus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.95, bodu=183, $$7 + \frac{-4 - 1\frac{4}{9} \cdot (2\frac{4}{13} - 3\frac{4}{13})^2}{15}=\textcolor{white}{6\frac{86}{135}}$$return {
["body"] = 183,
["id"] = "IVUrLw_1006_0844",
["obtiznost"] = 1.5508,
["reseni"] = {
["float"] = 6.637037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 896,
["jmenovatel"] = 135 },
["render"] = "\\frac{896}{135}",
["typ"] = "cislo" },
["tex"] = "6\\frac{86}{135}",
["x"] = 6,
["y"] = 86,
["z"] = 135 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{13} - 3\\frac{4}{13}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{13} - 3\\frac{4}{13})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{4}{9} \\cdot (2\\frac{4}{13} - 3\\frac{4}{13})^2",
["typ"] = "krat" },
["render"] = "-4 - 1\\frac{4}{9} \\cdot (2\\frac{4}{13} - 3\\frac{4}{13})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-4 - 1\\frac{4}{9} \\cdot (2\\frac{4}{13} - 3\\frac{4}{13})^2}{15}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{-4 - 1\\frac{4}{9} \\cdot (2\\frac{4}{13} - 3\\frac{4}{13})^2}{15}",
["typ"] = "plus" } }
seed: etkOZy7FyTWE2oB5kZfO_0.96, bodu=185, $$\frac{(2\frac{1}{11} - 4\frac{1}{8}) \cdot -18}{(11 - 3\frac{1}{9}) \cdot 15}=\textcolor{white}{\frac{4833}{15620}}$$return {
["body"] = 185,
["id"] = "HkIFEo_1006_0844",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 0.30941101152369,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4833,
["jmenovatel"] = 15620 },
["render"] = "\\frac{4833}{15620}",
["typ"] = "cislo" },
["tex"] = "\\frac{4833}{15620}",
["y"] = 4833,
["z"] = 15620 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{11} - 4\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{11} - 4\\frac{1}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{11} - 4\\frac{1}{8}) \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(11 - 3\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(11 - 3\\frac{1}{9}) \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{(2\\frac{1}{11} - 4\\frac{1}{8}) \\cdot -18}{(11 - 3\\frac{1}{9}) \\cdot 15}",
["typ"] = "lomeno" } }
seed: etkOZy7FyTWE2oB5kZfO_0.97, bodu=221, $$(14 + 2\frac{4}{8} \cdot 13) \cdot (1\frac{5}{11} + \frac{4\frac{1}{9}}{4\frac{2}{4}})=\textcolor{white}{110\frac{35}{297}}$$return {
["body"] = 221,
["id"] = "fUZdg2_1006_0844",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 110.11784511785,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32705,
["jmenovatel"] = 297 },
["render"] = "\\frac{196230}{1782}",
["typ"] = "cislo" },
["tex"] = "110\\frac{35}{297}",
["x"] = 110,
["y"] = 35,
["z"] = 297 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot 13",
["typ"] = "krat" },
["render"] = "14 + 2\\frac{4}{8} \\cdot 13",
["typ"] = "plus" },
["render"] = "(14 + 2\\frac{4}{8} \\cdot 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{4\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} + \\frac{4\\frac{1}{9}}{4\\frac{2}{4}}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{11} + \\frac{4\\frac{1}{9}}{4\\frac{2}{4}})",
["typ"] = "zavorka" },
["render"] = "(14 + 2\\frac{4}{8} \\cdot 13) \\cdot (1\\frac{5}{11} + \\frac{4\\frac{1}{9}}{4\\frac{2}{4}})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.98, bodu=260, $$2\frac{1}{5} \cdot (1\frac{2}{10} + 3\frac{5}{10} + \frac{14}{-18 - 4\frac{4}{6} - 1\frac{5}{12}})=\textcolor{white}{9\frac{883}{14450}}$$return {
["body"] = 260,
["id"] = "SafLiS_1006_0844",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 9.061107266436,
["objekt"] = {
["hodnota"] = {
["citatel"] = 130933,
["jmenovatel"] = 14450 },
["render"] = "\\frac{130933}{14450}",
["typ"] = "cislo" },
["tex"] = "9\\frac{883}{14450}",
["x"] = 9,
["y"] = 883,
["z"] = 14450 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-18 - 4\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-18 - 4\\frac{4}{6} - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "\\frac{14}{-18 - 4\\frac{4}{6} - 1\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{10} + 3\\frac{5}{10} + \\frac{14}{-18 - 4\\frac{4}{6} - 1\\frac{5}{12}}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{10} + 3\\frac{5}{10} + \\frac{14}{-18 - 4\\frac{4}{6} - 1\\frac{5}{12}})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} \\cdot (1\\frac{2}{10} + 3\\frac{5}{10} + \\frac{14}{-18 - 4\\frac{4}{6} - 1\\frac{5}{12}})",
["typ"] = "krat" } }
seed: etkOZy7FyTWE2oB5kZfO_0.99, bodu=190, $$\frac{\frac{4\frac{1}{7} + (-12)}{9 \cdot 3\frac{4}{12} \cdot -13}}{4\frac{2}{12}}=\textcolor{white}{\frac{11}{2275}}$$return {
["body"] = 190,
["id"] = "rq9X5p_1006_0844",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.0048351648351648,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2275 },
["render"] = "\\frac{66}{13650}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{2275}",
["y"] = 11,
["z"] = 2275 },
["seed"] = "etkOZy7FyTWE2oB5kZfO_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{4}{12} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{7} + (-12)}{9 \\cdot 3\\frac{4}{12} \\cdot -13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{1}{7} + (-12)}{9 \\cdot 3\\frac{4}{12} \\cdot -13}}{4\\frac{2}{12}}",
["typ"] = "lomeno" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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