- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 4bq4Jk8GUxHXSqcNMIki_0, bodu=10, $$(\frac{3}{4} - 8) \cdot 7=\textcolor{white}{-50{,}75}$$return {
["body"] = 10,
["id"] = "T6mAvE_0628_1651",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -50.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -203,
["jmenovatel"] = 4 },
["render"] = "\\frac{-203}{4}",
["typ"] = "cislo" },
["tex"] = "-50\\frac{3}{4}",
["tex_float"] = "-50{,}75",
["x"] = -50,
["y"] = 3,
["z"] = 4 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{3}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3}{4} - 8",
["typ"] = "minus" },
["render"] = "(\\frac{3}{4} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{3}{4} - 8) \\cdot 7",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.01, bodu=10, $$7 \cdot \frac{-6}{9 - 8}=\textcolor{white}{-42}$$return {
["body"] = 10,
["id"] = "fCAVEE_0628_1651",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{1}",
["typ"] = "cislo" },
["tex"] = "-42",
["x"] = -42 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["render"] = "\\frac{-6}{9 - 8}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{-6}{9 - 8}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.02, bodu=5, $$(7 + (10 - 4)^2) \cdot 6=\textcolor{white}{258}$$return {
["body"] = 5,
["id"] = "8FFEx5_0628_1651",
["obtiznost"] = 0.0348,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 258,
["jmenovatel"] = 1 },
["render"] = "\\frac{258}{1}",
["typ"] = "cislo" },
["tex"] = "258",
["x"] = 258 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 4)^2",
["typ"] = "mocnina" },
["render"] = "7 + (10 - 4)^2",
["typ"] = "plus" },
["render"] = "(7 + (10 - 4)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 + (10 - 4)^2) \\cdot 6",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.03, bodu=5, $$(6 \cdot (-6 - (-5)) + 7)^2=\textcolor{white}{1}$$return {
["body"] = 5,
["id"] = "w0G6BX_0628_1651",
["obtiznost"] = 0.0308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.03",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-6 - (-5)",
["typ"] = "minus" },
["render"] = "(-6 - (-5))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (-6 - (-5))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot (-6 - (-5)) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot (-6 - (-5)) + 7)^2",
["typ"] = "mocnina" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.04, bodu=5, $$8 - (-8) - 7 \cdot 4=\textcolor{white}{-12}$$return {
["body"] = 5,
["id"] = "BGICgm_0628_1651",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-12}{1}",
["typ"] = "cislo" },
["tex"] = "-12",
["x"] = -12 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4",
["typ"] = "krat" },
["render"] = "8 - (-8) - 7 \\cdot 4",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.05, bodu=37, $$8 + 1\frac{4}{6} + (-10 \cdot 4\frac{1}{2})=\textcolor{white}{-35\frac{1}{3}}$$return {
["body"] = 37,
["id"] = "0l1p5M_0628_1651",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -35.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -106,
["jmenovatel"] = 3 },
["render"] = "\\frac{-106}{3}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{1}{3}",
["x"] = -35,
["y"] = 1,
["z"] = 3 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "8 + 1\\frac{4}{6} + (-10 \\cdot 4\\frac{1}{2})",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.06, bodu=21, $$-4 - (8 \cdot 3\frac{4}{8} + 8)=\textcolor{white}{-40}$$return {
["body"] = 21,
["id"] = "NKcXSq_0628_1651",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 1 },
["render"] = "\\frac{-40}{1}",
["typ"] = "cislo" },
["tex"] = "-40",
["tex_float"] = "-40",
["x"] = -40 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{4}{8} + 8",
["typ"] = "plus" },
["render"] = "(8 \\cdot 3\\frac{4}{8} + 8)",
["typ"] = "zavorka" },
["render"] = "-4 - (8 \\cdot 3\\frac{4}{8} + 8)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.07, bodu=11, $$\frac{9}{8} \cdot 6=\textcolor{white}{6{,}75}$$return {
["body"] = 11,
["id"] = "Xt6GgP_0628_1651",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 6.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 4 },
["render"] = "\\frac{54}{8}",
["typ"] = "cislo" },
["tex"] = "6\\frac{3}{4}",
["tex_float"] = "6{,}75",
["x"] = 6,
["y"] = 3,
["z"] = 4 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8} \\cdot 6",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.08, bodu=12, $$\frac{4 + 8}{11 + 8}=\textcolor{white}{\frac{12}{19}}$$return {
["body"] = 12,
["id"] = "9Ld3EM_0628_1651",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.63157894736842,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 19 },
["render"] = "\\frac{12}{19}",
["typ"] = "cislo" },
["tex"] = "\\frac{12}{19}",
["y"] = 12,
["z"] = 19 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.08",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 8",
["typ"] = "plus" },
["render"] = "\\frac{4 + 8}{11 + 8}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.09, bodu=6, $$(7 - 9) \cdot -5 \cdot 10=\textcolor{white}{100}$$return {
["body"] = 6,
["id"] = "SCCPPg_0628_1651",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 1 },
["render"] = "\\frac{100}{1}",
["typ"] = "cislo" },
["tex"] = "100",
["tex_float"] = "100",
["x"] = 100 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.09",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "(7 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 10",
["typ"] = "krat" },
["render"] = "(7 - 9) \\cdot -5 \\cdot 10",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.1, bodu=6, $$(6 + 5) \cdot 7 \cdot 8=\textcolor{white}{616}$$return {
["body"] = 6,
["id"] = "ocF0xr_0628_1651",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 616,
["jmenovatel"] = 1 },
["render"] = "\\frac{616}{1}",
["typ"] = "cislo" },
["tex"] = "616",
["x"] = 616 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["render"] = "(6 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(6 + 5) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 + 5) \\cdot 7 \\cdot 8",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.11, bodu=25, $$1\frac{2}{4} \cdot 7 \cdot -5=\textcolor{white}{-52{,}5}$$return {
["body"] = 25,
["id"] = "8Ag28C_0628_1651",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -52.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 2 },
["render"] = "\\frac{-105}{2}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{1}{2}",
["tex_float"] = "-52{,}5",
["x"] = -52,
["y"] = 1,
["z"] = 2 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 \\cdot -5",
["typ"] = "krat" },
["render"] = "1\\frac{2}{4} \\cdot 7 \\cdot -5",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.12, bodu=6, $$(9 - 9) \cdot 2 \cdot 5=\textcolor{white}{0}$$return {
["body"] = 6,
["id"] = "R86fmE_0628_1651",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["render"] = "(9 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(9 - 9) \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(9 - 9) \\cdot 2 \\cdot 5",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.13, bodu=7, $$7 \cdot (8 + 10 - 8)=\textcolor{white}{70}$$return {
["body"] = 7,
["id"] = "e2TsEm_0628_1651",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{70}{1}",
["typ"] = "cislo" },
["tex"] = "70",
["x"] = 70 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 10 - 8",
["typ"] = "minus" },
["render"] = "(8 + 10 - 8)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (8 + 10 - 8)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.14, bodu=14, $$\frac{10}{7 + 8} - 6=\textcolor{white}{-5\frac{1}{3}}$$return {
["body"] = 14,
["id"] = "hZGMCp_0628_1651",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -5.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 3 },
["render"] = "\\frac{-16}{3}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{3}",
["x"] = -5,
["y"] = 1,
["z"] = 3 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "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"] = "\\frac{10}{7 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7 + 8} - 6",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.15, bodu=7, $$9 - (3 \cdot 7 - 6)=\textcolor{white}{-6}$$return {
["body"] = 7,
["id"] = "1HE5xD_0628_1651",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6}{1}",
["typ"] = "cislo" },
["tex"] = "-6",
["tex_float"] = "-6",
["x"] = -6 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7 - 6",
["typ"] = "minus" },
["render"] = "(3 \\cdot 7 - 6)",
["typ"] = "zavorka" },
["render"] = "9 - (3 \\cdot 7 - 6)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.16, bodu=15, $$\frac{-8}{5} \cdot -10=\textcolor{white}{16}$$return {
["body"] = 15,
["id"] = "zSnMCa_0628_1651",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{5}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{5} \\cdot -10",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.17, bodu=16, $$5 \cdot \frac{12}{-5}=\textcolor{white}{-12}$$return {
["body"] = 16,
["id"] = "CjhOss_0628_1651",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-60}{5}",
["typ"] = "cislo" },
["tex"] = "-12",
["tex_float"] = "-12",
["x"] = -12 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-5}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{12}{-5}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.18, bodu=31, $$5 \cdot (7 + 1\frac{4}{5} - 3)=\textcolor{white}{29}$$return {
["body"] = 31,
["id"] = "zo5NdI_0628_1651",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 1 },
["render"] = "\\frac{145}{5}",
["typ"] = "cislo" },
["tex"] = "29",
["x"] = 29 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{4}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{4}{5} - 3",
["typ"] = "minus" },
["render"] = "(7 + 1\\frac{4}{5} - 3)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (7 + 1\\frac{4}{5} - 3)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.19, bodu=17, $$-5 \cdot \frac{8}{7}=\textcolor{white}{-5\frac{5}{7}}$$return {
["body"] = 17,
["id"] = "OIeI5x_0628_1651",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -5.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 7 },
["render"] = "\\frac{-40}{7}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{5}{7}",
["x"] = -5,
["y"] = 5,
["z"] = 7 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["render"] = "-5 \\cdot \\frac{8}{7}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.2, bodu=18, $$\frac{-3 - (13 + 6) \cdot 5}{11}=\textcolor{white}{-8\frac{10}{11}}$$return {
["body"] = 18,
["id"] = "I7eikv_0628_1651",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -8.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -98,
["jmenovatel"] = 11 },
["render"] = "\\frac{-98}{11}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{10}{11}",
["x"] = -8,
["y"] = 10,
["z"] = 11 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 + 6",
["typ"] = "plus" },
["render"] = "(13 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(13 + 6) \\cdot 5",
["typ"] = "krat" },
["render"] = "-3 - (13 + 6) \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-3 - (13 + 6) \\cdot 5}{11}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.21, bodu=9, $$10 \cdot (11 - (-8) - 10)=\textcolor{white}{90}$$return {
["body"] = 9,
["id"] = "htv4lK_0628_1651",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{1}",
["typ"] = "cislo" },
["tex"] = "90",
["x"] = 90 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 - (-8) - 10",
["typ"] = "minus" },
["render"] = "(11 - (-8) - 10)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (11 - (-8) - 10)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.22, bodu=35, $$(7 + (-11) - (-5 + 9)^2) \cdot 4\frac{4}{8}=\textcolor{white}{-90}$$return {
["body"] = 35,
["id"] = "G4Pnyq_0628_1651",
["obtiznost"] = 0.4268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 1 },
["render"] = "\\frac{-180}{2}",
["typ"] = "cislo" },
["tex"] = "-90",
["x"] = -90 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 + (-11)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 9)^2",
["typ"] = "mocnina" },
["render"] = "7 + (-11) - (-5 + 9)^2",
["typ"] = "minus" },
["render"] = "(7 + (-11) - (-5 + 9)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(7 + (-11) - (-5 + 9)^2) \\cdot 4\\frac{4}{8}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.23, bodu=22, $$(-9 \cdot (\frac{8}{-9 - 7})^2)^2=\textcolor{white}{5\frac{1}{16}}$$return {
["body"] = 22,
["id"] = "kRk4p1_0628_1651",
["obtiznost"] = 0.2708,
["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"] = "4bq4Jk8GUxHXSqcNMIki_0.23",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 - 7",
["typ"] = "minus" },
["render"] = "\\frac{8}{-9 - 7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-9 - 7})^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (\\frac{8}{-9 - 7})^2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-9 \\cdot (\\frac{8}{-9 - 7})^2)^2",
["typ"] = "mocnina" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.24, bodu=10, $$11 \cdot 5 - (9 - (-6))=\textcolor{white}{40}$$return {
["body"] = 10,
["id"] = "uBwDFl_0628_1651",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 1 },
["render"] = "\\frac{40}{1}",
["typ"] = "cislo" },
["tex"] = "40",
["tex_float"] = "40",
["x"] = 40 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 - (-6)",
["typ"] = "minus" },
["render"] = "(9 - (-6))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot 5 - (9 - (-6))",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.25, bodu=21, $$(\frac{-10}{-8 \cdot (-11 - (-10)) + 2})^2=\textcolor{white}{1}$$return {
["body"] = 21,
["id"] = "Y0IJLa_0628_1651",
["obtiznost"] = 0.2508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 - (-10)",
["typ"] = "minus" },
["render"] = "(-11 - (-10))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (-11 - (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-8 \\cdot (-11 - (-10)) + 2",
["typ"] = "plus" },
["render"] = "\\frac{-10}{-8 \\cdot (-11 - (-10)) + 2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{-8 \\cdot (-11 - (-10)) + 2})^2",
["typ"] = "mocnina" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.26, bodu=41, $$\frac{(3 - 3\frac{5}{8})^2}{10} \cdot 9=\textcolor{white}{\frac{45}{128}}$$return {
["body"] = 41,
["id"] = "3pVQyn_0628_1651",
["obtiznost"] = 0.4956,
["reseni"] = {
["float"] = 0.3515625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 128 },
["render"] = "\\frac{45}{128}",
["typ"] = "cislo" },
["tex"] = "\\frac{45}{128}",
["y"] = 45,
["z"] = 128 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3 - 3\\frac{5}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 - 3\\frac{5}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(3 - 3\\frac{5}{8})^2}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(3 - 3\\frac{5}{8})^2}{10} \\cdot 9",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.27, bodu=11, $$12 \cdot 7 \cdot -12 + 12=\textcolor{white}{-996}$$return {
["body"] = 11,
["id"] = "LQGBec_0628_1651",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -996,
["jmenovatel"] = 1 },
["render"] = "\\frac{-996}{1}",
["typ"] = "cislo" },
["tex"] = "-996",
["x"] = -996 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7 \\cdot -12 + 12",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.28, bodu=23, $$7 + \frac{5}{7} \cdot 4=\textcolor{white}{9\frac{6}{7}}$$return {
["body"] = 23,
["id"] = "OlePmK_0628_1651",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 9.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 7 },
["render"] = "\\frac{69}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{6}{7}",
["x"] = 9,
["y"] = 6,
["z"] = 7 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7} \\cdot 4",
["typ"] = "krat" },
["render"] = "7 + \\frac{5}{7} \\cdot 4",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.29, bodu=40, $$\frac{5}{3\frac{3}{4} - (-11) - (9 - 9)^3}=\textcolor{white}{\frac{20}{59}}$$return {
["body"] = 40,
["id"] = "HOgUrv_0628_1651",
["obtiznost"] = 0.4904,
["reseni"] = {
["float"] = 0.33898305084746,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 59 },
["render"] = "\\frac{20}{59}",
["typ"] = "cislo" },
["tex"] = "\\frac{20}{59}",
["y"] = 20,
["z"] = 59 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 9)^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{4} - (-11) - (9 - 9)^3",
["typ"] = "minus" },
["render"] = "\\frac{5}{3\\frac{3}{4} - (-11) - (9 - 9)^3}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.3, bodu=47, $$\frac{(\frac{7}{-6} + 2\frac{5}{6})^3}{10}=\textcolor{white}{\frac{25}{54}}$$return {
["body"] = 47,
["id"] = "YgK3FS_0628_1651",
["obtiznost"] = 0.5608,
["reseni"] = {
["float"] = 0.46296296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 54 },
["render"] = "\\frac{125}{270}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{54}",
["y"] = 25,
["z"] = 54 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6} + 2\\frac{5}{6}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{-6} + 2\\frac{5}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{-6} + 2\\frac{5}{6})^3}{10}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.31, bodu=29, $$\frac{8 + \frac{7}{-9}}{(-3 - (-14))^2}=\textcolor{white}{\frac{65}{1089}}$$return {
["body"] = 29,
["id"] = "V6v1vw_0628_1651",
["obtiznost"] = 0.3588,
["reseni"] = {
["float"] = 0.059687786960514,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 1089 },
["render"] = "\\frac{65}{1089}",
["typ"] = "cislo" },
["tex"] = "\\frac{65}{1089}",
["y"] = 65,
["z"] = 1089 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{7}{-9}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-3 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-3 - (-14))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 + \\frac{7}{-9}}{(-3 - (-14))^2}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.32, bodu=64, $$\frac{4\frac{3}{7}}{9} + \frac{3\frac{1}{2}}{6}=\textcolor{white}{1\frac{19}{252}}$$return {
["body"] = 64,
["id"] = "I8s4rZ_0628_1651",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 1.0753968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = 271,
["jmenovatel"] = 252 },
["render"] = "\\frac{813}{756}",
["typ"] = "cislo" },
["tex"] = "1\\frac{19}{252}",
["x"] = 1,
["y"] = 19,
["z"] = 252 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{2}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{7}}{9} + \\frac{3\\frac{1}{2}}{6}",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.33, bodu=44, $$\frac{-8 - (-5)}{4 \cdot (1\frac{1}{4} + 8)}=\textcolor{white}{-\frac{3}{37}}$$return {
["body"] = 44,
["id"] = "3Ckur5_0628_1651",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -0.081081081081081,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 37 },
["render"] = "\\frac{-3}{37}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{37}",
["y"] = -3,
["z"] = 37 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} + 8",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{4} + 8)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (1\\frac{1}{4} + 8)",
["typ"] = "krat" },
["render"] = "\\frac{-8 - (-5)}{4 \\cdot (1\\frac{1}{4} + 8)}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.34, bodu=45, $$\frac{4\frac{4}{10} - 10}{-12 + \frac{-4}{-7}}=\textcolor{white}{0{,}49}$$return {
["body"] = 45,
["id"] = "IsE1kh_0628_1651",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 0.49,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 100 },
["render"] = "\\frac{-196}{-400}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{100}",
["tex_float"] = "0{,}49",
["y"] = 49,
["z"] = 100 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-7}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{-4}{-7}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{10} - 10}{-12 + \\frac{-4}{-7}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.35, bodu=14, $$(15 - 13)^2 \cdot -9 \cdot -11=\textcolor{white}{396}$$return {
["body"] = 14,
["id"] = "F4j6JT_0628_1651",
["obtiznost"] = 0.352,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 396,
["jmenovatel"] = 1 },
["render"] = "\\frac{396}{1}",
["typ"] = "cislo" },
["tex"] = "396",
["tex_float"] = "396",
["x"] = 396 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.35",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "(15 - 13)^2 \\cdot -9 \\cdot -11",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.36, bodu=69, $$\frac{4\frac{1}{5}}{-7 - (8 + 13 \cdot 1\frac{4}{9})}=\textcolor{white}{-\frac{189}{1520}}$$return {
["body"] = 69,
["id"] = "ddJQVZ_0628_1651",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -0.12434210526316,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 1520 },
["render"] = "\\frac{189}{-1520}",
["typ"] = "cislo" },
["tex"] = "-\\frac{189}{1520}",
["y"] = -189,
["z"] = 1520 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "8 + 13 \\cdot 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(8 + 13 \\cdot 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-7 - (8 + 13 \\cdot 1\\frac{4}{9})",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{5}}{-7 - (8 + 13 \\cdot 1\\frac{4}{9})}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.37, bodu=48, $$\frac{-5}{-5 + (-9 + 8) \cdot 4\frac{3}{8}}=\textcolor{white}{\frac{8}{15}}$$return {
["body"] = 48,
["id"] = "rQV8fM_0628_1651",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.53333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 15 },
["render"] = "\\frac{-40}{-75}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{15}",
["y"] = 8,
["z"] = 15 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 + 8",
["typ"] = "plus" },
["render"] = "(-9 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(-9 + 8) \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "-5 + (-9 + 8) \\cdot 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-5}{-5 + (-9 + 8) \\cdot 4\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.38, bodu=35, $$(\frac{12}{(\frac{12}{10} \cdot 5)^2})^4=\textcolor{white}{\frac{1}{81}}$$return {
["body"] = 35,
["id"] = "jObEyk_0628_1651",
["obtiznost"] = 0.4276,
["reseni"] = {
["float"] = 0.012345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 81 },
["render"] = "\\frac{1}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{81}",
["y"] = 1,
["z"] = 81 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.38",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{10} \\cdot 5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{10} \\cdot 5)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{12}{(\\frac{12}{10} \\cdot 5)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{(\\frac{12}{10} \\cdot 5)^2})^4",
["typ"] = "mocnina" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.39, bodu=117, $$((\frac{2\frac{5}{6}}{1\frac{1}{6}})^2 - (-8)) \cdot 3\frac{2}{3}=\textcolor{white}{50\frac{47}{49}}$$return {
["body"] = 117,
["id"] = "PujX3k_0628_1651",
["obtiznost"] = 1.1252,
["reseni"] = {
["float"] = 50.959183673469,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2497,
["jmenovatel"] = 49 },
["render"] = "\\frac{7491}{147}",
["typ"] = "cislo" },
["tex"] = "50\\frac{47}{49}",
["x"] = 50,
["y"] = 47,
["z"] = 49 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{6}}{1\\frac{1}{6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{5}{6}}{1\\frac{1}{6}})^2 - (-8)",
["typ"] = "minus" },
["render"] = "((\\frac{2\\frac{5}{6}}{1\\frac{1}{6}})^2 - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "((\\frac{2\\frac{5}{6}}{1\\frac{1}{6}})^2 - (-8)) \\cdot 3\\frac{2}{3}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.4, bodu=51, $$-11 + 8 - (1\frac{5}{10} + \frac{5 - (-9)}{13})=\textcolor{white}{-5\frac{15}{26}}$$return {
["body"] = 51,
["id"] = "k6ONO4_0628_1651",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -5.5769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -145,
["jmenovatel"] = 26 },
["render"] = "\\frac{-145}{26}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{15}{26}",
["x"] = -5,
["y"] = 15,
["z"] = 26 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.4",
["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"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (-9)}{13}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{10} + \\frac{5 - (-9)}{13}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{10} + \\frac{5 - (-9)}{13})",
["typ"] = "zavorka" },
["render"] = "-11 + 8 - (1\\frac{5}{10} + \\frac{5 - (-9)}{13})",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.41, bodu=52, $$\frac{-13 \cdot 5 + 10 + 11}{3\frac{2}{9} - (-6)}=\textcolor{white}{-4\frac{64}{83}}$$return {
["body"] = 52,
["id"] = "5u3BNF_0628_1651",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -4.7710843373494,
["objekt"] = {
["hodnota"] = {
["citatel"] = -396,
["jmenovatel"] = 83 },
["render"] = "\\frac{-396}{83}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{64}{83}",
["x"] = -4,
["y"] = 64,
["z"] = 83 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "-13 \\cdot 5 + 10 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{-13 \\cdot 5 + 10 + 11}{3\\frac{2}{9} - (-6)}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.42, bodu=102, $$\frac{4\frac{4}{7}}{10} \cdot (2\frac{1}{4} - (15 + 1\frac{5}{10}))=\textcolor{white}{-6\frac{18}{35}}$$return {
["body"] = 102,
["id"] = "scYfVO_0628_1651",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -6.5142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -228,
["jmenovatel"] = 35 },
["render"] = "\\frac{-912}{140}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{18}{35}",
["x"] = -6,
["y"] = 18,
["z"] = 35 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "15 + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(15 + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{4} - (15 + 1\\frac{5}{10})",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - (15 + 1\\frac{5}{10}))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{4}{7}}{10} \\cdot (2\\frac{1}{4} - (15 + 1\\frac{5}{10}))",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.43, bodu=55, $$-9 \cdot 3\frac{4}{6} \cdot (-9 - 10 + 13)=\textcolor{white}{198}$$return {
["body"] = 55,
["id"] = "NEziiS_0628_1651",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 198,
["jmenovatel"] = 1 },
["render"] = "\\frac{198}{1}",
["typ"] = "cislo" },
["tex"] = "198",
["tex_float"] = "198",
["x"] = 198 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-9 - 10 + 13",
["typ"] = "plus" },
["render"] = "(-9 - 10 + 13)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{6} \\cdot (-9 - 10 + 13)",
["typ"] = "krat" },
["render"] = "-9 \\cdot 3\\frac{4}{6} \\cdot (-9 - 10 + 13)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.44, bodu=105, $$4\frac{2}{4} \cdot \frac{10}{1\frac{5}{11} - (-8 - 4\frac{2}{4})}=\textcolor{white}{3\frac{69}{307}}$$return {
["body"] = 105,
["id"] = "ATpTYB_0628_1651",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 3.2247557003257,
["objekt"] = {
["hodnota"] = {
["citatel"] = 990,
["jmenovatel"] = 307 },
["render"] = "\\frac{1980}{614}",
["typ"] = "cislo" },
["tex"] = "3\\frac{69}{307}",
["x"] = 3,
["y"] = 69,
["z"] = 307 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-8 - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(-8 - 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} - (-8 - 4\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "\\frac{10}{1\\frac{5}{11} - (-8 - 4\\frac{2}{4})}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{4} \\cdot \\frac{10}{1\\frac{5}{11} - (-8 - 4\\frac{2}{4})}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.45, bodu=57, $$\frac{8 \cdot (4\frac{1}{6} - 9)}{-6 \cdot -6}=\textcolor{white}{-1\frac{2}{27}}$$return {
["body"] = 57,
["id"] = "PV5NYW_0628_1651",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -1.0740740740741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 27 },
["render"] = "\\frac{-116}{108}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{27}",
["x"] = -1,
["y"] = 2,
["z"] = 27 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 9",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{6} - 9)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (4\\frac{1}{6} - 9)",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "\\frac{8 \\cdot (4\\frac{1}{6} - 9)}{-6 \\cdot -6}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.46, bodu=58, $$-9 \cdot 7 \cdot (-9 - 4\frac{1}{5}) - (-6)=\textcolor{white}{837{,}6}$$return {
["body"] = 58,
["id"] = "lbW7mw_0628_1651",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 837.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4188,
["jmenovatel"] = 5 },
["render"] = "\\frac{4188}{5}",
["typ"] = "cislo" },
["tex"] = "837\\frac{3}{5}",
["tex_float"] = "837{,}6",
["x"] = 837,
["y"] = 3,
["z"] = 5 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-9 - 4\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(-9 - 4\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-9 - 4\\frac{1}{5})",
["typ"] = "krat" },
["render"] = "-9 \\cdot 7 \\cdot (-9 - 4\\frac{1}{5})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7 \\cdot (-9 - 4\\frac{1}{5}) - (-6)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.47, bodu=45, $$9 - 5 - \frac{11}{(\frac{11}{7})^2}=\textcolor{white}{-\frac{5}{11}}$$return {
["body"] = 45,
["id"] = "e1Rowo_0628_1651",
["obtiznost"] = 0.538,
["reseni"] = {
["float"] = -0.45454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5}{11}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{11}",
["y"] = -5,
["z"] = 11 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(\\frac{11}{7})^2}",
["typ"] = "lomeno" },
["render"] = "9 - 5 - \\frac{11}{(\\frac{11}{7})^2}",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.48, bodu=84, $$(12 - 3\frac{3}{6}) \cdot (-7 - (2\frac{3}{6} - 9))^3=\textcolor{white}{-1\frac{1}{16}}$$return {
["body"] = 84,
["id"] = "YlVIKM_0628_1651",
["obtiznost"] = 0.8836,
["reseni"] = {
["float"] = -1.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 16 },
["render"] = "\\frac{-17}{16}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{16}",
["x"] = -1,
["y"] = 1,
["z"] = 16 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{6} - 9)",
["typ"] = "zavorka" },
["render"] = "-7 - (2\\frac{3}{6} - 9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-7 - (2\\frac{3}{6} - 9))^3",
["typ"] = "mocnina" },
["render"] = "(12 - 3\\frac{3}{6}) \\cdot (-7 - (2\\frac{3}{6} - 9))^3",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.49, bodu=97, $$\frac{(4\frac{3}{6} - (6 - (-6)))^2 + 3\frac{4}{11}}{13 + 4}=\textcolor{white}{3\frac{379}{748}}$$return {
["body"] = 97,
["id"] = "sLH9PC_0628_1651",
["obtiznost"] = 0.9816,
["reseni"] = {
["float"] = 3.5066844919786,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2623,
["jmenovatel"] = 748 },
["render"] = "\\frac{2623}{748}",
["typ"] = "cislo" },
["tex"] = "3\\frac{379}{748}",
["x"] = 3,
["y"] = 379,
["z"] = 748 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 - (-6)",
["typ"] = "minus" },
["render"] = "(6 - (-6))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} - (6 - (-6))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{6} - (6 - (-6)))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{6} - (6 - (-6)))^2 + 3\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 + 4",
["typ"] = "plus" },
["render"] = "\\frac{(4\\frac{3}{6} - (6 - (-6)))^2 + 3\\frac{4}{11}}{13 + 4}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.5, bodu=62, $$\frac{3 + 4\frac{4}{5}}{\frac{-14 \cdot 14}{5}}=\textcolor{white}{-\frac{39}{196}}$$return {
["body"] = 62,
["id"] = "B9qVSX_0628_1651",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -0.19897959183673,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 196 },
["render"] = "\\frac{195}{-980}",
["typ"] = "cislo" },
["tex"] = "-\\frac{39}{196}",
["y"] = -39,
["z"] = 196 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "3 + 4\\frac{4}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot 14}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{3 + 4\\frac{4}{5}}{\\frac{-14 \\cdot 14}{5}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.51, bodu=42, $$14 \cdot (13 + 16 - \frac{-8}{9})=\textcolor{white}{418\frac{4}{9}}$$return {
["body"] = 42,
["id"] = "Z3d8M8_0628_1651",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 418.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3766,
["jmenovatel"] = 9 },
["render"] = "\\frac{3766}{9}",
["typ"] = "cislo" },
["tex"] = "418\\frac{4}{9}",
["x"] = 418,
["y"] = 4,
["z"] = 9 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "13 + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{9}",
["typ"] = "lomeno" },
["render"] = "13 + 16 - \\frac{-8}{9}",
["typ"] = "minus" },
["render"] = "(13 + 16 - \\frac{-8}{9})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (13 + 16 - \\frac{-8}{9})",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.52, bodu=64, $$\frac{-14}{8 \cdot -7 \cdot 4\frac{4}{9} + 9}=\textcolor{white}{\frac{126}{2159}}$$return {
["body"] = 64,
["id"] = "Q7EPN3_0628_1651",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 0.058360352014822,
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 2159 },
["render"] = "\\frac{-126}{-2159}",
["typ"] = "cislo" },
["tex"] = "\\frac{126}{2159}",
["y"] = 126,
["z"] = 2159 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "8 \\cdot -7 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot -7 \\cdot 4\\frac{4}{9} + 9",
["typ"] = "plus" },
["render"] = "\\frac{-14}{8 \\cdot -7 \\cdot 4\\frac{4}{9} + 9}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.53, bodu=66, $$\frac{\frac{13}{17 \cdot 4\frac{4}{5}}}{-14 + 6}=\textcolor{white}{-\frac{65}{3264}}$$return {
["body"] = 66,
["id"] = "m9qcCn_0628_1651",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -0.019914215686275,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 3264 },
["render"] = "\\frac{65}{-3264}",
["typ"] = "cislo" },
["tex"] = "-\\frac{65}{3264}",
["y"] = -65,
["z"] = 3264 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 4\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "\\frac{13}{17 \\cdot 4\\frac{4}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-14 + 6",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{13}{17 \\cdot 4\\frac{4}{5}}}{-14 + 6}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.54, bodu=67, $$(4\frac{1}{2} - 8 \cdot -12) \cdot (10 - 17)=\textcolor{white}{-703{,}5}$$return {
["body"] = 67,
["id"] = "xDlyGT_0628_1651",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -703.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1407,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1407}{2}",
["typ"] = "cislo" },
["tex"] = "-703\\frac{1}{2}",
["tex_float"] = "-703{,}5",
["x"] = -703,
["y"] = 1,
["z"] = 2 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 \\cdot -12",
["typ"] = "krat" },
["render"] = "4\\frac{1}{2} - 8 \\cdot -12",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{2} - 8 \\cdot -12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "10 - 17",
["typ"] = "minus" },
["render"] = "(10 - 17)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{1}{2} - 8 \\cdot -12) \\cdot (10 - 17)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.55, bodu=93, $$\frac{\frac{\frac{3\frac{2}{6}}{12}}{1\frac{2}{7} + 4}}{-15}=\textcolor{white}{-\frac{7}{1998}}$$return {
["body"] = 93,
["id"] = "Jefy3P_0628_1651",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -0.0035035035035035,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1998 },
["render"] = "\\frac{35}{-9990}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{1998}",
["y"] = -7,
["z"] = 1998 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 4",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{2}{6}}{12}}{1\\frac{2}{7} + 4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{2}{6}}{12}}{1\\frac{2}{7} + 4}}{-15}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.56, bodu=69, $$3\frac{3}{9} - 8 + (-7 \cdot \frac{-14}{8})=\textcolor{white}{7\frac{7}{12}}$$return {
["body"] = 69,
["id"] = "fmUPU8_0628_1651",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 7.5833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 12 },
["render"] = "\\frac{91}{12}",
["typ"] = "cislo" },
["tex"] = "7\\frac{7}{12}",
["x"] = 7,
["y"] = 7,
["z"] = 12 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{8}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{-14}{8}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{9} - 8 + (-7 \\cdot \\frac{-14}{8})",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.57, bodu=95, $$\frac{2\frac{4}{7} - 6 - \frac{14}{2\frac{1}{6}}}{14}=\textcolor{white}{-\frac{450}{637}}$$return {
["body"] = 95,
["id"] = "mL0dBo_0628_1651",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -0.70643642072213,
["objekt"] = {
["hodnota"] = {
["citatel"] = -450,
["jmenovatel"] = 637 },
["render"] = "\\frac{-900}{1274}",
["typ"] = "cislo" },
["tex"] = "-\\frac{450}{637}",
["y"] = -450,
["z"] = 637 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{7} - 6 - \\frac{14}{2\\frac{1}{6}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7} - 6 - \\frac{14}{2\\frac{1}{6}}}{14}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.58, bodu=125, $$\frac{8 \cdot 11 \cdot 2\frac{3}{5}}{3\frac{3}{12} - 4\frac{1}{5}}=\textcolor{white}{-240\frac{16}{19}}$$return {
["body"] = 125,
["id"] = "O0DQF8_0628_1651",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -240.84210526316,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4576,
["jmenovatel"] = 19 },
["render"] = "\\frac{22880}{-95}",
["typ"] = "cislo" },
["tex"] = "-240\\frac{16}{19}",
["x"] = -240,
["y"] = 16,
["z"] = 19 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11 \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{12} - 4\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot 11 \\cdot 2\\frac{3}{5}}{3\\frac{3}{12} - 4\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.59, bodu=79, $$\frac{14}{4} - (2\frac{5}{10} - (11 - 16)^3)=\textcolor{white}{-124}$$return {
["body"] = 79,
["id"] = "Fbqwk0_0628_1651",
["obtiznost"] = 0.8404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -124,
["jmenovatel"] = 1 },
["render"] = "\\frac{-248}{2}",
["typ"] = "cislo" },
["tex"] = "-124",
["x"] = -124 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "11 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 16)^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{10} - (11 - 16)^3",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - (11 - 16)^3)",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{4} - (2\\frac{5}{10} - (11 - 16)^3)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.6, bodu=192, $$(2\frac{5}{10} \cdot 2\frac{4}{10} + (-5)) \cdot (1\frac{2}{7} - 3\frac{4}{8} + 4\frac{4}{9})=\textcolor{white}{2\frac{29}{126}}$$return {
["body"] = 192,
["id"] = "6bOyzJ_0628_1651",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 2.2301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 281,
["jmenovatel"] = 126 },
["render"] = "\\frac{281}{126}",
["typ"] = "cislo" },
["tex"] = "2\\frac{29}{126}",
["x"] = 2,
["y"] = 29,
["z"] = 126 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 2\\frac{4}{10} + (-5)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} \\cdot 2\\frac{4}{10} + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 3\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 3\\frac{4}{8} + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} - 3\\frac{4}{8} + 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{10} \\cdot 2\\frac{4}{10} + (-5)) \\cdot (1\\frac{2}{7} - 3\\frac{4}{8} + 4\\frac{4}{9})",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.61, bodu=175, $$(9 + 4\frac{3}{10} + (-15))^2 \cdot ((4 - 11)^3 - 3\frac{2}{9} + 4\frac{1}{4})=\textcolor{white}{-988\frac{1079}{3600}}$$return {
["body"] = 175,
["id"] = "AImXyk_0628_1651",
["obtiznost"] = 1.5032,
["reseni"] = {
["float"] = -988.29972222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3557879,
["jmenovatel"] = 3600 },
["render"] = "\\frac{-3557879}{3600}",
["typ"] = "cislo" },
["tex"] = "-988\\frac{1079}{3600}",
["x"] = -988,
["y"] = 1079,
["z"] = 3600 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.61",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} + (-15)",
["typ"] = "plus" },
["render"] = "9 + 4\\frac{3}{10} + (-15)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 4\\frac{3}{10} + (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(4 - 11)^3 - 3\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(4 - 11)^3 - 3\\frac{2}{9} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "((4 - 11)^3 - 3\\frac{2}{9} + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "(9 + 4\\frac{3}{10} + (-15))^2 \\cdot ((4 - 11)^3 - 3\\frac{2}{9} + 4\\frac{1}{4})",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.62, bodu=76, $$\frac{-6}{\frac{2\frac{1}{7}}{-8 \cdot -17}} + 12=\textcolor{white}{-368{,}8}$$return {
["body"] = 76,
["id"] = "dRGqGi_0628_1651",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -368.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1844,
["jmenovatel"] = 5 },
["render"] = "\\frac{-1844}{5}",
["typ"] = "cislo" },
["tex"] = "-368\\frac{4}{5}",
["tex_float"] = "-368{,}8",
["x"] = -368,
["y"] = 4,
["z"] = 5 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{7}}{-8 \\cdot -17}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{\\frac{2\\frac{1}{7}}{-8 \\cdot -17}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{\\frac{2\\frac{1}{7}}{-8 \\cdot -17}} + 12",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.63, bodu=55, $$\frac{-8 + (-13) - 5}{-8} \cdot -10 - (-9)=\textcolor{white}{-23{,}5}$$return {
["body"] = 55,
["id"] = "JSuTer_0628_1651",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -23.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 2 },
["render"] = "\\frac{-47}{2}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{1}{2}",
["tex_float"] = "-23{,}5",
["x"] = -23,
["y"] = 1,
["z"] = 2 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-8 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 + (-13) - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + (-13) - 5}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + (-13) - 5}{-8} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + (-13) - 5}{-8} \\cdot -10 - (-9)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.64, bodu=165, $$-8 + 3\frac{2}{5} - (7 - 3\frac{2}{8} + 8 + 3\frac{1}{2} + 1\frac{1}{5})=\textcolor{white}{-21{,}05}$$return {
["body"] = 165,
["id"] = "rFM4Hv_0628_1651",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -21.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = -421,
["jmenovatel"] = 20 },
["render"] = "\\frac{-2105}{100}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{1}{20}",
["tex_float"] = "-21{,}05",
["x"] = -21,
["y"] = 1,
["z"] = 20 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{2}{8} + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "7 - 3\\frac{2}{8} + 8 + 3\\frac{1}{2} + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(7 - 3\\frac{2}{8} + 8 + 3\\frac{1}{2} + 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "-8 + 3\\frac{2}{5} - (7 - 3\\frac{2}{8} + 8 + 3\\frac{1}{2} + 1\\frac{1}{5})",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.65, bodu=80, $$\frac{\frac{1\frac{3}{10} \cdot 9}{11}}{-11 \cdot -12}=\textcolor{white}{\frac{39}{4840}}$$return {
["body"] = 80,
["id"] = "omitOl_0628_1651",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 0.0080578512396694,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 4840 },
["render"] = "\\frac{117}{14520}",
["typ"] = "cislo" },
["tex"] = "\\frac{39}{4840}",
["y"] = 39,
["z"] = 4840 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10} \\cdot 9}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{3}{10} \\cdot 9}{11}}{-11 \\cdot -12}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.66, bodu=58, $$\frac{15 + \frac{-11 - (-12)}{9} + 11}{11 + 17}=\textcolor{white}{\frac{235}{252}}$$return {
["body"] = 58,
["id"] = "imxiyC_0628_1651",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 0.93253968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = 235,
["jmenovatel"] = 252 },
["render"] = "\\frac{235}{252}",
["typ"] = "cislo" },
["tex"] = "\\frac{235}{252}",
["y"] = 235,
["z"] = 252 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-11 - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (-12)}{9}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{-11 - (-12)}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 + \\frac{-11 - (-12)}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "11 + 17",
["typ"] = "plus" },
["render"] = "\\frac{15 + \\frac{-11 - (-12)}{9} + 11}{11 + 17}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.67, bodu=128, $$(1\frac{2}{4} + (-4))^3 + \frac{3\frac{2}{6} + (-13 + (13 + (-14))^3)^2}{-5}=\textcolor{white}{-55\frac{59}{120}}$$return {
["body"] = 128,
["id"] = "Kgpj4x_0628_1651",
["obtiznost"] = 1.2028,
["reseni"] = {
["float"] = -55.491666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6659,
["jmenovatel"] = 120 },
["render"] = "\\frac{-6659}{120}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{59}{120}",
["x"] = -55,
["y"] = 59,
["z"] = 120 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.67",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} + (-4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{2}{4} + (-4))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "13 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-14))^3",
["typ"] = "mocnina" },
["render"] = "-13 + (13 + (-14))^3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + (13 + (-14))^3)^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{6} + (-13 + (13 + (-14))^3)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6} + (-13 + (13 + (-14))^3)^2}{-5}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{2}{4} + (-4))^3 + \\frac{3\\frac{2}{6} + (-13 + (13 + (-14))^3)^2}{-5}",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.68, bodu=119, $$4\frac{3}{8} - (12 \cdot -11 - \frac{1\frac{3}{8}}{(3 + 9)^2})=\textcolor{white}{136\frac{443}{1152}}$$return {
["body"] = 119,
["id"] = "NYU0hl_0628_1651",
["obtiznost"] = 1.138,
["reseni"] = {
["float"] = 136.38454861111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 157115,
["jmenovatel"] = 1152 },
["render"] = "\\frac{1256920}{9216}",
["typ"] = "cislo" },
["tex"] = "136\\frac{443}{1152}",
["x"] = 136,
["y"] = 443,
["z"] = 1152 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{8}}{(3 + 9)^2}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot -11 - \\frac{1\\frac{3}{8}}{(3 + 9)^2}",
["typ"] = "minus" },
["render"] = "(12 \\cdot -11 - \\frac{1\\frac{3}{8}}{(3 + 9)^2})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} - (12 \\cdot -11 - \\frac{1\\frac{3}{8}}{(3 + 9)^2})",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.69, bodu=173, $$\frac{2\frac{1}{5}}{-4 + 1\frac{1}{6}} \cdot (\frac{3\frac{1}{3}}{2\frac{5}{8}} - 13)=\textcolor{white}{9\frac{193}{1785}}$$return {
["body"] = 173,
["id"] = "5BhsQ9_0628_1651",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = 9.1081232492997,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16258,
["jmenovatel"] = 1785 },
["render"] = "\\frac{48774}{5355}",
["typ"] = "cislo" },
["tex"] = "9\\frac{193}{1785}",
["x"] = 9,
["y"] = 193,
["z"] = 1785 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{5}}{-4 + 1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{2\\frac{5}{8}} - 13",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{1}{3}}{2\\frac{5}{8}} - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{5}}{-4 + 1\\frac{1}{6}} \\cdot (\\frac{3\\frac{1}{3}}{2\\frac{5}{8}} - 13)",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.7, bodu=86, $$\frac{18}{\frac{2\frac{4}{9} + 12}{7 \cdot 13}}=\textcolor{white}{113{,}4}$$return {
["body"] = 86,
["id"] = "yDeEeq_0628_1651",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 113.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 5 },
["render"] = "\\frac{1134}{10}",
["typ"] = "cislo" },
["tex"] = "113\\frac{2}{5}",
["tex_float"] = "113{,}4",
["x"] = 113,
["y"] = 2,
["z"] = 5 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{9} + 12}{7 \\cdot 13}",
["typ"] = "lomeno" },
["render"] = "\\frac{18}{\\frac{2\\frac{4}{9} + 12}{7 \\cdot 13}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.71, bodu=88, $$9 + 4\frac{1}{6} - (-14 - (-13 - (-5) - 8))=\textcolor{white}{11\frac{1}{6}}$$return {
["body"] = 88,
["id"] = "4lIfzz_0628_1651",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 11.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 67,
["jmenovatel"] = 6 },
["render"] = "\\frac{67}{6}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{6}",
["x"] = 11,
["y"] = 1,
["z"] = 6 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-13 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 - (-5) - 8",
["typ"] = "minus" },
["render"] = "(-13 - (-5) - 8)",
["typ"] = "zavorka" },
["render"] = "-14 - (-13 - (-5) - 8)",
["typ"] = "minus" },
["render"] = "(-14 - (-13 - (-5) - 8))",
["typ"] = "zavorka" },
["render"] = "9 + 4\\frac{1}{6} - (-14 - (-13 - (-5) - 8))",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.72, bodu=116, $$8 \cdot 1\frac{5}{6} \cdot (11 + 9) \cdot (-4 + 4\frac{5}{9})=\textcolor{white}{162\frac{26}{27}}$$return {
["body"] = 116,
["id"] = "btI7Bp_0628_1651",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 162.96296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4400,
["jmenovatel"] = 27 },
["render"] = "\\frac{4400}{27}",
["typ"] = "cislo" },
["tex"] = "162\\frac{26}{27}",
["x"] = 162,
["y"] = 26,
["z"] = 27 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["render"] = "(11 + 9)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 1\\frac{5}{6} \\cdot (11 + 9)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-4 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(-4 + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 1\\frac{5}{6} \\cdot (11 + 9) \\cdot (-4 + 4\\frac{5}{9})",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.73, bodu=157, $$(-16 + 1\frac{1}{6} + 13)^2 - 3\frac{2}{6} \cdot -5 \cdot 4\frac{1}{5}=\textcolor{white}{73\frac{13}{36}}$$return {
["body"] = 157,
["id"] = "s5KI0i_0628_1651",
["obtiznost"] = 1.3928,
["reseni"] = {
["float"] = 73.361111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2641,
["jmenovatel"] = 36 },
["render"] = "\\frac{2641}{36}",
["typ"] = "cislo" },
["tex"] = "73\\frac{13}{36}",
["x"] = 73,
["y"] = 13,
["z"] = 36 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 13",
["typ"] = "plus" },
["render"] = "-16 + 1\\frac{1}{6} + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-16 + 1\\frac{1}{6} + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot -5 \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "(-16 + 1\\frac{1}{6} + 13)^2 - 3\\frac{2}{6} \\cdot -5 \\cdot 4\\frac{1}{5}",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.74, bodu=149, $$\frac{-14}{4\frac{5}{9} \cdot -14 + 4\frac{2}{10} + 18 + 3\frac{2}{4}}=\textcolor{white}{\frac{1260}{3427}}$$return {
["body"] = 149,
["id"] = "HGc16V_0628_1651",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 0.36766851473592,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1260,
["jmenovatel"] = 3427 },
["render"] = "\\frac{-1260}{-3427}",
["typ"] = "cislo" },
["tex"] = "\\frac{1260}{3427}",
["y"] = 1260,
["z"] = 3427 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{10} + 18 + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{9} \\cdot -14 + 4\\frac{2}{10} + 18 + 3\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{-14}{4\\frac{5}{9} \\cdot -14 + 4\\frac{2}{10} + 18 + 3\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.75, bodu=183, $$2\frac{4}{8} \cdot \frac{3\frac{3}{5}}{4\frac{2}{9} - 1\frac{4}{10} - (-11)}=\textcolor{white}{\frac{405}{622}}$$return {
["body"] = 183,
["id"] = "5hVPPU_0628_1651",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 0.65112540192926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 405,
["jmenovatel"] = 622 },
["render"] = "\\frac{405}{622}",
["typ"] = "cislo" },
["tex"] = "\\frac{405}{622}",
["y"] = 405,
["z"] = 622 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} - 1\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} - 1\\frac{4}{10} - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{3}{5}}{4\\frac{2}{9} - 1\\frac{4}{10} - (-11)}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{8} \\cdot \\frac{3\\frac{3}{5}}{4\\frac{2}{9} - 1\\frac{4}{10} - (-11)}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.76, bodu=102, $$-17 - (\frac{-13}{13 + 9})^2 \cdot (-13 + 18)=\textcolor{white}{-18\frac{361}{484}}$$return {
["body"] = 102,
["id"] = "GSXHLi_0628_1651",
["obtiznost"] = 1.0212,
["reseni"] = {
["float"] = -18.745867768595,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9073,
["jmenovatel"] = 484 },
["render"] = "\\frac{-9073}{484}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{361}{484}",
["x"] = -18,
["y"] = 361,
["z"] = 484 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-13}{13 + 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{13 + 9})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-13 + 18",
["typ"] = "plus" },
["render"] = "(-13 + 18)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-13}{13 + 9})^2 \\cdot (-13 + 18)",
["typ"] = "krat" },
["render"] = "-17 - (\\frac{-13}{13 + 9})^2 \\cdot (-13 + 18)",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.77, bodu=187, $$\frac{-20 - 4\frac{2}{8} + 4\frac{2}{7}}{2\frac{4}{10} \cdot -21 - 4\frac{5}{11}}=\textcolor{white}{\frac{30745}{84476}}$$return {
["body"] = 187,
["id"] = "N8EMlL_0628_1651",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 0.3639495241252,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30745,
["jmenovatel"] = 84476 },
["render"] = "\\frac{-30745}{-84476}",
["typ"] = "cislo" },
["tex"] = "\\frac{30745}{84476}",
["y"] = 30745,
["z"] = 84476 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{2}{8} + 4\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -21 - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "\\frac{-20 - 4\\frac{2}{8} + 4\\frac{2}{7}}{2\\frac{4}{10} \\cdot -21 - 4\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.78, bodu=97, $$\frac{1\frac{3}{8}}{\frac{-9 \cdot (6 + (-13))}{-13}}=\textcolor{white}{-\frac{143}{504}}$$return {
["body"] = 97,
["id"] = "Aiocgb_0628_1651",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -0.28373015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 504 },
["render"] = "\\frac{143}{-504}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{504}",
["y"] = -143,
["z"] = 504 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "6 + (-13)",
["typ"] = "plus" },
["render"] = "(6 + (-13))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (6 + (-13))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot (6 + (-13))}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{8}}{\\frac{-9 \\cdot (6 + (-13))}{-13}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.79, bodu=126, $$\frac{\frac{\frac{2\frac{3}{11}}{-11}}{13}}{4\frac{4}{9} - (-16)}=\textcolor{white}{-\frac{225}{289432}}$$return {
["body"] = 126,
["id"] = "LnvHMs_0628_1651",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -0.0007773846706653,
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 289432 },
["render"] = "\\frac{-225}{289432}",
["typ"] = "cislo" },
["tex"] = "-\\frac{225}{289432}",
["y"] = -225,
["z"] = 289432 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{11}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{11}}{-11}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - (-16)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{3}{11}}{-11}}{13}}{4\\frac{4}{9} - (-16)}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.8, bodu=100, $$\frac{(-21 - (-14 + (-18))) \cdot -15}{17 - (14 + 4\frac{3}{7})}=\textcolor{white}{115{,}5}$$return {
["body"] = 100,
["id"] = "JIffIX_0628_1651",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 115.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1155}{-10}",
["typ"] = "cislo" },
["tex"] = "115\\frac{1}{2}",
["tex_float"] = "115{,}5",
["x"] = 115,
["y"] = 1,
["z"] = 2 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-14 + (-18)",
["typ"] = "plus" },
["render"] = "(-14 + (-18))",
["typ"] = "zavorka" },
["render"] = "-21 - (-14 + (-18))",
["typ"] = "minus" },
["render"] = "(-21 - (-14 + (-18)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-21 - (-14 + (-18))) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "14 + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(14 + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "17 - (14 + 4\\frac{3}{7})",
["typ"] = "minus" },
["render"] = "\\frac{(-21 - (-14 + (-18))) \\cdot -15}{17 - (14 + 4\\frac{3}{7})}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.81, bodu=160, $$(-8 + (-12)) \cdot (3\frac{5}{11} + 4\frac{2}{4}) \cdot -14 \cdot 2\frac{1}{4}=\textcolor{white}{5011\frac{4}{11}}$$return {
["body"] = 160,
["id"] = "4ad0Bq_0628_1651",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 5011.3636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55125,
["jmenovatel"] = 11 },
["render"] = "\\frac{220500}{44}",
["typ"] = "cislo" },
["tex"] = "5011\\frac{4}{11}",
["x"] = 5011,
["y"] = 4,
["z"] = 11 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(-8 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} + 4\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{11} + 4\\frac{2}{4}) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{11} + 4\\frac{2}{4}) \\cdot -14 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "(-8 + (-12)) \\cdot (3\\frac{5}{11} + 4\\frac{2}{4}) \\cdot -14 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.82, bodu=162, $$-7 \cdot 4\frac{4}{14} \cdot 3\frac{4}{10} \cdot 9 \cdot 1\frac{5}{15}=\textcolor{white}{-1224}$$return {
["body"] = 162,
["id"] = "EWKIgD_0628_1651",
["obtiznost"] = 1.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1224,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1224}{1}",
["typ"] = "cislo" },
["tex"] = "-1224",
["x"] = -1224 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{4}{14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{4}{14} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{15}",
["typ"] = "krat" },
["render"] = "-7 \\cdot 4\\frac{4}{14} \\cdot 3\\frac{4}{10} \\cdot 9 \\cdot 1\\frac{5}{15}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.83, bodu=163, $$\frac{-9}{\frac{-13}{1\frac{1}{5}}} \cdot (-6 - 4\frac{2}{5} + 4\frac{1}{7} + (-16))=\textcolor{white}{-18\frac{1116}{2275}}$$return {
["body"] = 163,
["id"] = "Knvafe_0628_1651",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -18.490549450549,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42066,
["jmenovatel"] = 2275 },
["render"] = "\\frac{-42066}{2275}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{1116}{2275}",
["x"] = -18,
["y"] = 1116,
["z"] = 2275 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{-13}{1\\frac{1}{5}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{2}{5} + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{2}{5} + 4\\frac{1}{7} + (-16)",
["typ"] = "plus" },
["render"] = "(-6 - 4\\frac{2}{5} + 4\\frac{1}{7} + (-16))",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{\\frac{-13}{1\\frac{1}{5}}} \\cdot (-6 - 4\\frac{2}{5} + 4\\frac{1}{7} + (-16))",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.84, bodu=164, $$((-12 \cdot (4\frac{2}{4} - 4\frac{5}{12}))^3 \cdot -22)^2 - \frac{21}{-20}=\textcolor{white}{485{,}05}$$return {
["body"] = 164,
["id"] = "FuVaov_0628_1651",
["obtiznost"] = 1.4348,
["reseni"] = {
["float"] = 485.05,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9701,
["jmenovatel"] = 20 },
["render"] = "\\frac{9701}{20}",
["typ"] = "cislo" },
["tex"] = "485\\frac{1}{20}",
["tex_float"] = "485{,}05",
["x"] = 485,
["y"] = 1,
["z"] = 20 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.84",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{4} - 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (4\\frac{2}{4} - 4\\frac{5}{12})",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(-12 \\cdot (4\\frac{2}{4} - 4\\frac{5}{12}))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "(-12 \\cdot (4\\frac{2}{4} - 4\\frac{5}{12}))^3 \\cdot -22",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-12 \\cdot (4\\frac{2}{4} - 4\\frac{5}{12}))^3 \\cdot -22)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{21}{-20}",
["typ"] = "lomeno" },
["render"] = "((-12 \\cdot (4\\frac{2}{4} - 4\\frac{5}{12}))^3 \\cdot -22)^2 - \\frac{21}{-20}",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.85, bodu=106, $$\frac{2}{14 + (-3) - (-8 - (14 - (-11)) + 3\frac{5}{8})}=\textcolor{white}{\frac{16}{323}}$$return {
["body"] = 106,
["id"] = "nd0eYY_0628_1651",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 0.04953560371517,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 323 },
["render"] = "\\frac{16}{323}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{323}",
["y"] = 16,
["z"] = 323 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "14 + (-3)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 - (-11)",
["typ"] = "minus" },
["render"] = "(14 - (-11))",
["typ"] = "zavorka" },
["render"] = "-8 - (14 - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-8 - (14 - (-11)) + 3\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(-8 - (14 - (-11)) + 3\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "14 + (-3) - (-8 - (14 - (-11)) + 3\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "\\frac{2}{14 + (-3) - (-8 - (14 - (-11)) + 3\\frac{5}{8})}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.86, bodu=268, $$((\frac{13}{2\frac{3}{11} \cdot 3\frac{3}{10}})^2 + 3\frac{2}{6}) \cdot (4\frac{5}{9} - (-17))=\textcolor{white}{136\frac{1244}{2025}}$$return {
["body"] = 268,
["id"] = "6roVXA_0628_1651",
["obtiznost"] = 2.0204,
["reseni"] = {
["float"] = 136.61432098765,
["objekt"] = {
["hodnota"] = {
["citatel"] = 276644,
["jmenovatel"] = 2025 },
["render"] = "\\frac{276644}{2025}",
["typ"] = "cislo" },
["tex"] = "136\\frac{1244}{2025}",
["x"] = 136,
["y"] = 1244,
["z"] = 2025 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} \\cdot 3\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{13}{2\\frac{3}{11} \\cdot 3\\frac{3}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{2\\frac{3}{11} \\cdot 3\\frac{3}{10}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{2\\frac{3}{11} \\cdot 3\\frac{3}{10}})^2 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "((\\frac{13}{2\\frac{3}{11} \\cdot 3\\frac{3}{10}})^2 + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - (-17)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{9} - (-17))",
["typ"] = "zavorka" },
["render"] = "((\\frac{13}{2\\frac{3}{11} \\cdot 3\\frac{3}{10}})^2 + 3\\frac{2}{6}) \\cdot (4\\frac{5}{9} - (-17))",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.87, bodu=204, $$3\frac{5}{9} - 1\frac{2}{11} - (\frac{11 \cdot 18}{3\frac{3}{5}} - 3\frac{3}{8})=\textcolor{white}{-49\frac{199}{792}}$$return {
["body"] = 204,
["id"] = "AsZMEI_0628_1651",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -49.251262626263,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39007,
["jmenovatel"] = 792 },
["render"] = "\\frac{-39007}{792}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{199}{792}",
["x"] = -49,
["y"] = 199,
["z"] = 792 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 1\\frac{2}{11}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "11 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 18}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 18}{3\\frac{3}{5}} - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(\\frac{11 \\cdot 18}{3\\frac{3}{5}} - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{9} - 1\\frac{2}{11} - (\\frac{11 \\cdot 18}{3\\frac{3}{5}} - 3\\frac{3}{8})",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.88, bodu=145, $$(17 + (-8))^2 \cdot 14 \cdot (\frac{18}{3\frac{5}{11}} + 4\frac{2}{8})=\textcolor{white}{10728\frac{9}{38}}$$return {
["body"] = 145,
["id"] = "u9kwNF_0628_1651",
["obtiznost"] = 1.3128,
["reseni"] = {
["float"] = 10728.236842105,
["objekt"] = {
["hodnota"] = {
["citatel"] = 407673,
["jmenovatel"] = 38 },
["render"] = "\\frac{407673}{38}",
["typ"] = "cislo" },
["tex"] = "10728\\frac{9}{38}",
["x"] = 10728,
["y"] = 9,
["z"] = 38 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.88",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "17 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(17 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{3\\frac{5}{11}} + 4\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{18}{3\\frac{5}{11}} + 4\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (\\frac{18}{3\\frac{5}{11}} + 4\\frac{2}{8})",
["typ"] = "krat" },
["render"] = "(17 + (-8))^2 \\cdot 14 \\cdot (\\frac{18}{3\\frac{5}{11}} + 4\\frac{2}{8})",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.89, bodu=141, $$\frac{6}{3\frac{2}{6}} + 18 + 13 - (2\frac{5}{15} \cdot -17 + 9)=\textcolor{white}{63\frac{7}{15}}$$return {
["body"] = 141,
["id"] = "ugHkAq_0628_1651",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 63.466666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 952,
["jmenovatel"] = 15 },
["render"] = "\\frac{952}{15}",
["typ"] = "cislo" },
["tex"] = "63\\frac{7}{15}",
["x"] = 63,
["y"] = 7,
["z"] = 15 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{15} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{15} \\cdot -17 + 9",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{15} \\cdot -17 + 9)",
["typ"] = "zavorka" },
["render"] = "13 - (2\\frac{5}{15} \\cdot -17 + 9)",
["typ"] = "minus" },
["render"] = "18 + 13 - (2\\frac{5}{15} \\cdot -17 + 9)",
["typ"] = "plus" },
["render"] = "\\frac{6}{3\\frac{2}{6}} + 18 + 13 - (2\\frac{5}{15} \\cdot -17 + 9)",
["typ"] = "plus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.9, bodu=175, $$(3\frac{2}{9} + 11 + 1\frac{2}{8} \cdot -7) \cdot 4\frac{3}{9} \cdot -9=\textcolor{white}{-213\frac{5}{12}}$$return {
["body"] = 175,
["id"] = "Nty1RP_0628_1651",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -213.41666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2561,
["jmenovatel"] = 12 },
["render"] = "\\frac{-7683}{36}",
["typ"] = "cislo" },
["tex"] = "-213\\frac{5}{12}",
["x"] = -213,
["y"] = 5,
["z"] = 12 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot -7",
["typ"] = "krat" },
["render"] = "11 + 1\\frac{2}{8} \\cdot -7",
["typ"] = "plus" },
["render"] = "3\\frac{2}{9} + 11 + 1\\frac{2}{8} \\cdot -7",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} + 11 + 1\\frac{2}{8} \\cdot -7)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot -9",
["typ"] = "krat" },
["render"] = "(3\\frac{2}{9} + 11 + 1\\frac{2}{8} \\cdot -7) \\cdot 4\\frac{3}{9} \\cdot -9",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.91, bodu=144, $$4 - \frac{1\frac{5}{14}}{4\frac{1}{7}} \cdot (-9 \cdot -9 - (-19))=\textcolor{white}{-28\frac{22}{29}}$$return {
["body"] = 144,
["id"] = "DGMrcd_0628_1651",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -28.758620689655,
["objekt"] = {
["hodnota"] = {
["citatel"] = -834,
["jmenovatel"] = 29 },
["render"] = "\\frac{-834}{29}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{22}{29}",
["x"] = -28,
["y"] = 22,
["z"] = 29 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{14}}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -9 - (-19)",
["typ"] = "minus" },
["render"] = "(-9 \\cdot -9 - (-19))",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{5}{14}}{4\\frac{1}{7}} \\cdot (-9 \\cdot -9 - (-19))",
["typ"] = "krat" },
["render"] = "4 - \\frac{1\\frac{5}{14}}{4\\frac{1}{7}} \\cdot (-9 \\cdot -9 - (-19))",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.92, bodu=178, $$\frac{-15 - \frac{2\frac{1}{10}}{\frac{11}{4\frac{2}{7} + 4\frac{3}{12}}}}{19}=\textcolor{white}{-\frac{7317}{8360}}$$return {
["body"] = 178,
["id"] = "vP7F25_0628_1651",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -0.87523923444976,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7317,
["jmenovatel"] = 8360 },
["render"] = "\\frac{-7317}{8360}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7317}{8360}",
["y"] = -7317,
["z"] = 8360 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 4\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "\\frac{11}{4\\frac{2}{7} + 4\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{10}}{\\frac{11}{4\\frac{2}{7} + 4\\frac{3}{12}}}",
["typ"] = "lomeno" },
["render"] = "-15 - \\frac{2\\frac{1}{10}}{\\frac{11}{4\\frac{2}{7} + 4\\frac{3}{12}}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-15 - \\frac{2\\frac{1}{10}}{\\frac{11}{4\\frac{2}{7} + 4\\frac{3}{12}}}}{19}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.93, bodu=193, $$(\frac{-9}{1\frac{4}{10}} + 1\frac{2}{8} + (-10)) \cdot (1\frac{1}{4} - (-6 + 6))^3=\textcolor{white}{-29\frac{1157}{1792}}$$return {
["body"] = 193,
["id"] = "JSt6Mb_0628_1651",
["obtiznost"] = 1.6056,
["reseni"] = {
["float"] = -29.645647321429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53125,
["jmenovatel"] = 1792 },
["render"] = "\\frac{-53125}{1792}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{1157}{1792}",
["x"] = -29,
["y"] = 1157,
["z"] = 1792 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{4}{10}} + 1\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{4}{10}} + 1\\frac{2}{8} + (-10)",
["typ"] = "plus" },
["render"] = "(\\frac{-9}{1\\frac{4}{10}} + 1\\frac{2}{8} + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 + 6",
["typ"] = "plus" },
["render"] = "(-6 + 6)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{4} - (-6 + 6)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{1}{4} - (-6 + 6))^3",
["typ"] = "mocnina" },
["render"] = "(\\frac{-9}{1\\frac{4}{10}} + 1\\frac{2}{8} + (-10)) \\cdot (1\\frac{1}{4} - (-6 + 6))^3",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.94, bodu=119, $$\frac{4\frac{1}{8}}{-10} \cdot \frac{10 + 16 + 15}{15 - 11}=\textcolor{white}{-4\frac{73}{320}}$$return {
["body"] = 119,
["id"] = "mLdAz8_0628_1651",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -4.228125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1353,
["jmenovatel"] = 320 },
["render"] = "\\frac{-1353}{320}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{73}{320}",
["x"] = -4,
["y"] = 73,
["z"] = 320 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "10 + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "10 + 16 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 - 11",
["typ"] = "minus" },
["render"] = "\\frac{10 + 16 + 15}{15 - 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{8}}{-10} \\cdot \\frac{10 + 16 + 15}{15 - 11}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.95, bodu=183, $$3\frac{2}{4} - \frac{-4}{-9} - (-14 \cdot 4\frac{5}{7} - 2\frac{5}{11})=\textcolor{white}{71\frac{101}{198}}$$return {
["body"] = 183,
["id"] = "E9yLoJ_0628_1651",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 71.510101010101,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14159,
["jmenovatel"] = 198 },
["render"] = "\\frac{14159}{198}",
["typ"] = "cislo" },
["tex"] = "71\\frac{101}{198}",
["x"] = 71,
["y"] = 101,
["z"] = 198 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-9}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{4} - \\frac{-4}{-9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{5}{7} - 2\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(-14 \\cdot 4\\frac{5}{7} - 2\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{4} - \\frac{-4}{-9} - (-14 \\cdot 4\\frac{5}{7} - 2\\frac{5}{11})",
["typ"] = "minus" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.96, bodu=256, $$\frac{\frac{4\frac{3}{7}}{1\frac{1}{2} \cdot 4\frac{2}{12}}}{(-4 - 3\frac{4}{9}) \cdot 2\frac{3}{8}}=\textcolor{white}{-\frac{8928}{222775}}$$return {
["body"] = 256,
["id"] = "IxLOrX_0628_1651",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = -0.040076310178431,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8928,
["jmenovatel"] = 222775 },
["render"] = "\\frac{8928}{-222775}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8928}{222775}",
["y"] = -8928,
["z"] = 222775 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{2} \\cdot 4\\frac{2}{12}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{7}}{1\\frac{1}{2} \\cdot 4\\frac{2}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-4 - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-4 - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(-4 - 3\\frac{4}{9}) \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{3}{7}}{1\\frac{1}{2} \\cdot 4\\frac{2}{12}}}{(-4 - 3\\frac{4}{9}) \\cdot 2\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.97, bodu=187, $$\frac{\frac{4\frac{4}{6} + 2\frac{3}{11}}{-9}}{-12 \cdot 2\frac{3}{8} + 13}=\textcolor{white}{\frac{458}{9207}}$$return {
["body"] = 187,
["id"] = "LaIzBj_0628_1651",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 0.049744759422179,
["objekt"] = {
["hodnota"] = {
["citatel"] = 458,
["jmenovatel"] = 9207 },
["render"] = "\\frac{-458}{-9207}",
["typ"] = "cislo" },
["tex"] = "\\frac{458}{9207}",
["y"] = 458,
["z"] = 9207 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 2\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6} + 2\\frac{3}{11}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 2\\frac{3}{8} + 13",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{4}{6} + 2\\frac{3}{11}}{-9}}{-12 \\cdot 2\\frac{3}{8} + 13}",
["typ"] = "lomeno" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.98, bodu=155, $$(7 + 4) \cdot -7 \cdot \frac{3\frac{4}{9} \cdot 3\frac{4}{10}}{-15}=\textcolor{white}{60\frac{79}{675}}$$return {
["body"] = 155,
["id"] = "mcFy6N_0628_1651",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 60.117037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40579,
["jmenovatel"] = 675 },
["render"] = "\\frac{40579}{675}",
["typ"] = "cislo" },
["tex"] = "60\\frac{79}{675}",
["x"] = 60,
["y"] = 79,
["z"] = 675 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 + 4",
["typ"] = "plus" },
["render"] = "(7 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(7 + 4) \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9} \\cdot 3\\frac{4}{10}}{-15}",
["typ"] = "lomeno" },
["render"] = "(7 + 4) \\cdot -7 \\cdot \\frac{3\\frac{4}{9} \\cdot 3\\frac{4}{10}}{-15}",
["typ"] = "krat" } }
seed: 4bq4Jk8GUxHXSqcNMIki_0.99, bodu=58, $$19 + (23 + (-16))^3 + (-10) - (-18 - 17) \cdot 10=\textcolor{white}{702}$$return {
["body"] = 58,
["id"] = "z4j1qP_0628_1651",
["obtiznost"] = 1.1276,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 702,
["jmenovatel"] = 1 },
["render"] = "\\frac{702}{1}",
["typ"] = "cislo" },
["tex"] = "702",
["tex_float"] = "702",
["x"] = 702 },
["seed"] = "4bq4Jk8GUxHXSqcNMIki_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "23 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(23 + (-16))^3",
["typ"] = "mocnina" },
["render"] = "19 + (23 + (-16))^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "19 + (23 + (-16))^3 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-18 - 17",
["typ"] = "minus" },
["render"] = "(-18 - 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-18 - 17) \\cdot 10",
["typ"] = "krat" },
["render"] = "19 + (23 + (-16))^3 + (-10) - (-18 - 17) \\cdot 10",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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5ba.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
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