- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: c6KPczXaD2j5RxtONIG8_0, bodu=10, $$\frac{5}{8 \cdot 4}=\textcolor{white}{\frac{5}{32}}$$return {
["body"] = 10,
["id"] = "2zxYAe_0322_1203",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.15625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 32 },
["render"] = "\\frac{5}{32}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{32}",
["y"] = 5,
["z"] = 32 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0",
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{5}{8 \\cdot 4}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.01, bodu=5, $$8 + 11 + (-4) + 9 - 5=\textcolor{white}{19}$$return {
["body"] = 5,
["id"] = "aJt08N_0322_1203",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["tex_float"] = "19",
["x"] = 19 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.01",
["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 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 + 11 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 5",
["typ"] = "minus" },
["render"] = "8 + 11 + (-4) + 9 - 5",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.02, bodu=5, $$(6 + 6) \cdot (6 - 8)=\textcolor{white}{-24}$$return {
["body"] = 5,
["id"] = "sMyOx9_0322_1203",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "\\frac{-24}{1}",
["typ"] = "cislo" },
["tex"] = "-24",
["x"] = -24 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.02",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["render"] = "(6 - 8)",
["typ"] = "zavorka" },
["render"] = "(6 + 6) \\cdot (6 - 8)",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.03, bodu=10, $$(\frac{7}{8} + (-8)) \cdot 9=\textcolor{white}{-64{,}125}$$return {
["body"] = 10,
["id"] = "KtKKKe_0322_1203",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -64.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -513,
["jmenovatel"] = 8 },
["render"] = "\\frac{-513}{8}",
["typ"] = "cislo" },
["tex"] = "-64\\frac{1}{8}",
["tex_float"] = "-64{,}125",
["x"] = -64,
["y"] = 1,
["z"] = 8 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.03",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8} + (-8)",
["typ"] = "plus" },
["render"] = "(\\frac{7}{8} + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{8} + (-8)) \\cdot 9",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.04, bodu=5, $$10 \cdot 8 \cdot 4=\textcolor{white}{320}$$return {
["body"] = 5,
["id"] = "lL82Wa_0322_1203",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 320,
["jmenovatel"] = 1 },
["render"] = "\\frac{320}{1}",
["typ"] = "cislo" },
["tex"] = "320",
["tex_float"] = "320",
["x"] = 320 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8 \\cdot 4",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.05, bodu=11, $$\frac{9}{7 \cdot 6}=\textcolor{white}{\frac{3}{14}}$$return {
["body"] = 11,
["id"] = "ojrTLi_0322_1203",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 0.21428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 14 },
["render"] = "\\frac{9}{42}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{14}",
["y"] = 3,
["z"] = 14 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{9}{7 \\cdot 6}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.06, bodu=5, $$10 + (-3 + 9 \cdot 9)=\textcolor{white}{88}$$return {
["body"] = 5,
["id"] = "5ffEih_0322_1203",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 1 },
["render"] = "\\frac{88}{1}",
["typ"] = "cislo" },
["tex"] = "88",
["x"] = 88 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["render"] = "-3 + 9 \\cdot 9",
["typ"] = "plus" },
["render"] = "10 + (-3 + 9 \\cdot 9)",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.07, bodu=5, $$(8 \cdot 8 - 8) \cdot 11=\textcolor{white}{616}$$return {
["body"] = 5,
["id"] = "TdOh3G_0322_1203",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 616,
["jmenovatel"] = 1 },
["render"] = "\\frac{616}{1}",
["typ"] = "cislo" },
["tex"] = "616",
["tex_float"] = "616",
["x"] = 616 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8 - 8",
["typ"] = "minus" },
["render"] = "(8 \\cdot 8 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(8 \\cdot 8 - 8) \\cdot 11",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.08, bodu=23, $$-2 - (2\frac{4}{7} - 11 \cdot 4)=\textcolor{white}{39\frac{3}{7}}$$return {
["body"] = 23,
["id"] = "YDujFR_0322_1203",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 39.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 276,
["jmenovatel"] = 7 },
["render"] = "\\frac{276}{7}",
["typ"] = "cislo" },
["tex"] = "39\\frac{3}{7}",
["x"] = 39,
["y"] = 3,
["z"] = 7 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} - 11 \\cdot 4",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{7} - 11 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "-2 - (2\\frac{4}{7} - 11 \\cdot 4)",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.09, bodu=12, $$\frac{-10}{7 - (6 + 10)}=\textcolor{white}{1\frac{1}{9}}$$return {
["body"] = 12,
["id"] = "B7hunp_0322_1203",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 1.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "\\frac{-10}{-9}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{9}",
["x"] = 1,
["y"] = 1,
["z"] = 9 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["render"] = "(6 + 10)",
["typ"] = "zavorka" },
["render"] = "7 - (6 + 10)",
["typ"] = "minus" },
["render"] = "\\frac{-10}{7 - (6 + 10)}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.1, bodu=12, $$\frac{8}{-6 - 8 - 9}=\textcolor{white}{-\frac{8}{23}}$$return {
["body"] = 12,
["id"] = "NKQTsR_0322_1203",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -0.34782608695652,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 23 },
["render"] = "\\frac{8}{-23}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{23}",
["y"] = -8,
["z"] = 23 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 - 8 - 9",
["typ"] = "minus" },
["render"] = "\\frac{8}{-6 - 8 - 9}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.11, bodu=6, $$10 \cdot 4 \cdot 6=\textcolor{white}{240}$$return {
["body"] = 6,
["id"] = "pBwt6k_0322_1203",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 240,
["jmenovatel"] = 1 },
["render"] = "\\frac{240}{1}",
["typ"] = "cislo" },
["tex"] = "240",
["tex_float"] = "240",
["x"] = 240 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 \\cdot 6",
["typ"] = "krat" },
["render"] = "10 \\cdot 4 \\cdot 6",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.12, bodu=6, $$5 + 6 - (-4 \cdot 7)=\textcolor{white}{39}$$return {
["body"] = 6,
["id"] = "Eaz8W7_0322_1203",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 1 },
["render"] = "\\frac{39}{1}",
["typ"] = "cislo" },
["tex"] = "39",
["tex_float"] = "39",
["x"] = 39 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 - (-4 \\cdot 7)",
["typ"] = "minus" },
["render"] = "5 + 6 - (-4 \\cdot 7)",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.13, bodu=14, $$\frac{-8}{\frac{6}{-6} - 4}=\textcolor{white}{1{,}6}$$return {
["body"] = 14,
["id"] = "L3LJDU_0322_1203",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 1.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "\\frac{-8}{-5}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{5}",
["tex_float"] = "1{,}6",
["x"] = 1,
["y"] = 3,
["z"] = 5 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-6} - 4",
["typ"] = "minus" },
["render"] = "\\frac{-8}{\\frac{6}{-6} - 4}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.14, bodu=14, $$12 - \frac{10 - 9}{5}=\textcolor{white}{11{,}8}$$return {
["body"] = 14,
["id"] = "70ZUtf_0322_1203",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 11.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 5 },
["render"] = "\\frac{59}{5}",
["typ"] = "cislo" },
["tex"] = "11\\frac{4}{5}",
["tex_float"] = "11{,}8",
["x"] = 11,
["y"] = 4,
["z"] = 5 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 9}{5}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{10 - 9}{5}",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.15, bodu=15, $$(7 + \frac{8}{9}) \cdot 4=\textcolor{white}{31\frac{5}{9}}$$return {
["body"] = 15,
["id"] = "6VRQ5W_0322_1203",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 31.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 284,
["jmenovatel"] = 9 },
["render"] = "\\frac{284}{9}",
["typ"] = "cislo" },
["tex"] = "31\\frac{5}{9}",
["x"] = 31,
["y"] = 5,
["z"] = 9 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["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"] = "7 + \\frac{8}{9}",
["typ"] = "plus" },
["render"] = "(7 + \\frac{8}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(7 + \\frac{8}{9}) \\cdot 4",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.16, bodu=7, $$(3 - 9) \cdot 9 \cdot -6=\textcolor{white}{324}$$return {
["body"] = 7,
["id"] = "2YO1TZ_0322_1203",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 324,
["jmenovatel"] = 1 },
["render"] = "\\frac{324}{1}",
["typ"] = "cislo" },
["tex"] = "324",
["x"] = 324 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.16",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 - 9",
["typ"] = "minus" },
["render"] = "(3 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 \\cdot -6",
["typ"] = "krat" },
["render"] = "(3 - 9) \\cdot 9 \\cdot -6",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.17, bodu=30, $$2\frac{2}{4} + 10 + 9 \cdot 7=\textcolor{white}{75{,}5}$$return {
["body"] = 30,
["id"] = "VAC7eK_0322_1203",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 75.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 151,
["jmenovatel"] = 2 },
["render"] = "\\frac{151}{2}",
["typ"] = "cislo" },
["tex"] = "75\\frac{1}{2}",
["tex_float"] = "75{,}5",
["x"] = 75,
["y"] = 1,
["z"] = 2 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["render"] = "2\\frac{2}{4} + 10 + 9 \\cdot 7",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.18, bodu=31, $$\frac{10}{9} + 9 + 2\frac{1}{4}=\textcolor{white}{12\frac{13}{36}}$$return {
["body"] = 31,
["id"] = "jT9ikp_0322_1203",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 12.361111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 445,
["jmenovatel"] = 36 },
["render"] = "\\frac{445}{36}",
["typ"] = "cislo" },
["tex"] = "12\\frac{13}{36}",
["x"] = 12,
["y"] = 13,
["z"] = 36 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9} + 9 + 2\\frac{1}{4}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.19, bodu=8, $$6 + 5 + 11 - (-11 + (-11))=\textcolor{white}{44}$$return {
["body"] = 8,
["id"] = "K1s2yi_0322_1203",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 1 },
["render"] = "\\frac{44}{1}",
["typ"] = "cislo" },
["tex"] = "44",
["tex_float"] = "44",
["x"] = 44 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 + 11",
["typ"] = "plus" },
["render"] = "6 + 5 + 11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 + (-11)",
["typ"] = "plus" },
["render"] = "(-11 + (-11))",
["typ"] = "zavorka" },
["render"] = "6 + 5 + 11 - (-11 + (-11))",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.2, bodu=27, $$\frac{(11 - 4)^3}{-9 \cdot 7}=\textcolor{white}{-5\frac{4}{9}}$$return {
["body"] = 27,
["id"] = "SglpaF_0322_1203",
["obtiznost"] = 0.3376,
["reseni"] = {
["float"] = -5.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 9 },
["render"] = "\\frac{343}{-63}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{4}{9}",
["x"] = -5,
["y"] = 4,
["z"] = 9 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{(11 - 4)^3}{-9 \\cdot 7}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.21, bodu=19, $$-12 \cdot 11 \cdot (\frac{3}{6})^4=\textcolor{white}{-8{,}25}$$return {
["body"] = 19,
["id"] = "8GdAJG_0322_1203",
["obtiznost"] = 0.2168,
["reseni"] = {
["float"] = -8.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 4 },
["render"] = "\\frac{-132}{16}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{1}{4}",
["tex_float"] = "-8{,}25",
["x"] = -8,
["y"] = 1,
["z"] = 4 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{3}{6})^4",
["typ"] = "mocnina" },
["render"] = "11 \\cdot (\\frac{3}{6})^4",
["typ"] = "krat" },
["render"] = "-12 \\cdot 11 \\cdot (\\frac{3}{6})^4",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.22, bodu=34, $$-9 - (2\frac{4}{6} + 7) - (-6 \cdot 6)=\textcolor{white}{17\frac{1}{3}}$$return {
["body"] = 34,
["id"] = "OYUsJz_0322_1203",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 17.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 3 },
["render"] = "\\frac{52}{3}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{3}",
["x"] = 17,
["y"] = 1,
["z"] = 3 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 7",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + 7)",
["typ"] = "zavorka" },
["render"] = "-9 - (2\\frac{4}{6} + 7)",
["typ"] = "minus" },
["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"] = "-9 - (2\\frac{4}{6} + 7) - (-6 \\cdot 6)",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.23, bodu=35, $$6 \cdot 4\frac{1}{6} + \frac{9}{6}=\textcolor{white}{26{,}5}$$return {
["body"] = 35,
["id"] = "V55RtN_0322_1203",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 26.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 2 },
["render"] = "\\frac{53}{2}",
["typ"] = "cislo" },
["tex"] = "26\\frac{1}{2}",
["tex_float"] = "26{,}5",
["x"] = 26,
["y"] = 1,
["z"] = 2 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot 4\\frac{1}{6} + \\frac{9}{6}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.24, bodu=31, $$(\frac{7}{2\frac{1}{1}})^3 \cdot 7 + 9=\textcolor{white}{97\frac{25}{27}}$$return {
["body"] = 31,
["id"] = "NRU3TN_0322_1203",
["obtiznost"] = 0.388,
["reseni"] = {
["float"] = 97.925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2644,
["jmenovatel"] = 27 },
["render"] = "\\frac{2644}{27}",
["typ"] = "cislo" },
["tex"] = "97\\frac{25}{27}",
["x"] = 97,
["y"] = 25,
["z"] = 27 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{1}{1}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{2\\frac{1}{1}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{2\\frac{1}{1}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{2\\frac{1}{1}})^3 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{2\\frac{1}{1}})^3 \\cdot 7 + 9",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.25, bodu=37, $$4\frac{1}{3} + (-8 - (-10 \cdot (-6 + 6)^4))=\textcolor{white}{-3\frac{2}{3}}$$return {
["body"] = 37,
["id"] = "z8xnBR_0322_1203",
["obtiznost"] = 0.4504,
["reseni"] = {
["float"] = -3.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 3 },
["render"] = "\\frac{-11}{3}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{2}{3}",
["x"] = -3,
["y"] = 2,
["z"] = 3 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 + 6",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-6 + 6)^4",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (-6 + 6)^4",
["typ"] = "krat" },
["render"] = "-8 - (-10 \\cdot (-6 + 6)^4)",
["typ"] = "minus" },
["render"] = "4\\frac{1}{3} + (-8 - (-10 \\cdot (-6 + 6)^4))",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.26, bodu=38, $$10 + 2 \cdot (-7 - (-7))^4 + 4\frac{5}{8}=\textcolor{white}{14{,}625}$$return {
["body"] = 38,
["id"] = "GVBUjQ_0322_1203",
["obtiznost"] = 0.4604,
["reseni"] = {
["float"] = 14.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 117,
["jmenovatel"] = 8 },
["render"] = "\\frac{117}{8}",
["typ"] = "cislo" },
["tex"] = "14\\frac{5}{8}",
["tex_float"] = "14{,}625",
["x"] = 14,
["y"] = 5,
["z"] = 8 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-7 - (-7))^4",
["typ"] = "mocnina" },
["render"] = "2 \\cdot (-7 - (-7))^4",
["typ"] = "krat" },
["render"] = "10 + 2 \\cdot (-7 - (-7))^4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 + 2 \\cdot (-7 - (-7))^4 + 4\\frac{5}{8}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.27, bodu=38, $$\frac{3\frac{5}{9}}{9 + (-11)} \cdot -5=\textcolor{white}{8\frac{8}{9}}$$return {
["body"] = 38,
["id"] = "DJrjHf_0322_1203",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 8.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 9 },
["render"] = "\\frac{80}{9}",
["typ"] = "cislo" },
["tex"] = "8\\frac{8}{9}",
["x"] = 8,
["y"] = 8,
["z"] = 9 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{9}}{9 + (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{9 + (-11)} \\cdot -5",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.28, bodu=25, $$\frac{5 + (11 - 8)^4}{6 + 6 + 6}=\textcolor{white}{4\frac{7}{9}}$$return {
["body"] = 25,
["id"] = "OuNbb7_0322_1203",
["obtiznost"] = 0.3128,
["reseni"] = {
["float"] = 4.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 9 },
["render"] = "\\frac{86}{18}",
["typ"] = "cislo" },
["tex"] = "4\\frac{7}{9}",
["x"] = 4,
["y"] = 7,
["z"] = 9 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(11 - 8)^4",
["typ"] = "mocnina" },
["render"] = "5 + (11 - 8)^4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["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 + 6",
["typ"] = "plus" },
["render"] = "\\frac{5 + (11 - 8)^4}{6 + 6 + 6}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.29, bodu=61, $$(13 + 7) \cdot 4\frac{4}{9} - (9 + 1\frac{3}{6})=\textcolor{white}{78\frac{7}{18}}$$return {
["body"] = 61,
["id"] = "b89DKN_0322_1203",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 78.388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1411,
["jmenovatel"] = 18 },
["render"] = "\\frac{1411}{18}",
["typ"] = "cislo" },
["tex"] = "78\\frac{7}{18}",
["x"] = 78,
["y"] = 7,
["z"] = 18 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 + 7",
["typ"] = "plus" },
["render"] = "(13 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(13 + 7) \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(9 + 1\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "(13 + 7) \\cdot 4\\frac{4}{9} - (9 + 1\\frac{3}{6})",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.3, bodu=15, $$((6 - 6)^2 - 6)^3 \cdot 9=\textcolor{white}{-1944}$$return {
["body"] = 15,
["id"] = "gpOOeI_0322_1203",
["obtiznost"] = 0.3872,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1944,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1944}{1}",
["typ"] = "cislo" },
["tex"] = "-1944",
["tex_float"] = "-1944",
["x"] = -1944 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(6 - 6)^2 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "((6 - 6)^2 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "((6 - 6)^2 - 6)^3 \\cdot 9",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.31, bodu=42, $$\frac{4\frac{2}{6}}{\frac{8 + 10}{7}}=\textcolor{white}{1\frac{37}{54}}$$return {
["body"] = 42,
["id"] = "7c3UGD_0322_1203",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 1.6851851851852,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 54 },
["render"] = "\\frac{91}{54}",
["typ"] = "cislo" },
["tex"] = "1\\frac{37}{54}",
["x"] = 1,
["y"] = 37,
["z"] = 54 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 10}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{6}}{\\frac{8 + 10}{7}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.32, bodu=49, $$\frac{(4 + 8)^2 + (-14)}{1\frac{3}{5} \cdot 11}=\textcolor{white}{7\frac{17}{44}}$$return {
["body"] = 49,
["id"] = "zfJx53_0322_1203",
["obtiznost"] = 0.578,
["reseni"] = {
["float"] = 7.3863636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 325,
["jmenovatel"] = 44 },
["render"] = "\\frac{650}{88}",
["typ"] = "cislo" },
["tex"] = "7\\frac{17}{44}",
["x"] = 7,
["y"] = 17,
["z"] = 44 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(4 + 8)^2 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{(4 + 8)^2 + (-14)}{1\\frac{3}{5} \\cdot 11}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.33, bodu=36, $$\frac{(-9 \cdot (\frac{-4}{6})^2)^4}{14}=\textcolor{white}{18\frac{2}{7}}$$return {
["body"] = 36,
["id"] = "mlFqol_0322_1203",
["obtiznost"] = 0.438,
["reseni"] = {
["float"] = 18.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 7 },
["render"] = "\\frac{256}{14}",
["typ"] = "cislo" },
["tex"] = "18\\frac{2}{7}",
["x"] = 18,
["y"] = 2,
["z"] = 7 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{6})^2",
["typ"] = "mocnina" },
["render"] = "-9 \\cdot (\\frac{-4}{6})^2",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(-9 \\cdot (\\frac{-4}{6})^2)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(-9 \\cdot (\\frac{-4}{6})^2)^4}{14}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.34, bodu=76, $$-6 \cdot 4\frac{2}{5} - (2\frac{1}{8} - (9 + 5)^2)=\textcolor{white}{167{,}475}$$return {
["body"] = 76,
["id"] = "6NgReE_0322_1203",
["obtiznost"] = 0.8188,
["reseni"] = {
["float"] = 167.475,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6699,
["jmenovatel"] = 40 },
["render"] = "\\frac{6699}{40}",
["typ"] = "cislo" },
["tex"] = "167\\frac{19}{40}",
["tex_float"] = "167{,}475",
["x"] = 167,
["y"] = 19,
["z"] = 40 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.34",
["zadani"] = {
["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 \\cdot 4\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 5)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{8} - (9 + 5)^2",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{8} - (9 + 5)^2)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot 4\\frac{2}{5} - (2\\frac{1}{8} - (9 + 5)^2)",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.35, bodu=28, $$\frac{-8}{11} + \frac{5}{8}=\textcolor{white}{-\frac{9}{88}}$$return {
["body"] = 28,
["id"] = "fwNwxA_0322_1203",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -0.10227272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 88 },
["render"] = "\\frac{-9}{88}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{88}",
["y"] = -9,
["z"] = 88 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{11} + \\frac{5}{8}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.36, bodu=47, $$\frac{-11}{\frac{4\frac{3}{8}}{13}} + 7=\textcolor{white}{-25\frac{24}{35}}$$return {
["body"] = 47,
["id"] = "QqVWDL_0322_1203",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -25.685714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -899,
["jmenovatel"] = 35 },
["render"] = "\\frac{-899}{35}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{24}{35}",
["x"] = -25,
["y"] = 24,
["z"] = 35 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{4\\frac{3}{8}}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{\\frac{4\\frac{3}{8}}{13}} + 7",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.37, bodu=48, $$4\frac{4}{9} \cdot (-13 + \frac{8}{6})=\textcolor{white}{-51\frac{23}{27}}$$return {
["body"] = 48,
["id"] = "8Q3ggD_0322_1203",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -51.851851851852,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1400,
["jmenovatel"] = 27 },
["render"] = "\\frac{-1400}{27}",
["typ"] = "cislo" },
["tex"] = "-51\\frac{23}{27}",
["x"] = -51,
["y"] = 23,
["z"] = 27 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["render"] = "-13 + \\frac{8}{6}",
["typ"] = "plus" },
["render"] = "(-13 + \\frac{8}{6})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{9} \\cdot (-13 + \\frac{8}{6})",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.38, bodu=16, $$((7 - 8)^3 \cdot (-8 - 12 + 11))^2=\textcolor{white}{81}$$return {
["body"] = 16,
["id"] = "0f9lTQ_0322_1203",
["obtiznost"] = 0.4136,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["x"] = 81 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.38",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 - 12 + 11",
["typ"] = "plus" },
["render"] = "(-8 - 12 + 11)",
["typ"] = "zavorka" },
["render"] = "(7 - 8)^3 \\cdot (-8 - 12 + 11)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((7 - 8)^3 \\cdot (-8 - 12 + 11))^2",
["typ"] = "mocnina" } }
seed: c6KPczXaD2j5RxtONIG8_0.39, bodu=73, $$1\frac{4}{8} \cdot \frac{4\frac{4}{8}}{11 + (-9) + (-8)}=\textcolor{white}{-1{,}125}$$return {
["body"] = 73,
["id"] = "BaB6EK_0322_1203",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -1.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 8 },
["render"] = "\\frac{-9}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{8}",
["tex_float"] = "-1{,}125",
["x"] = -1,
["y"] = 1,
["z"] = 8 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 + (-9) + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{8}}{11 + (-9) + (-8)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{8} \\cdot \\frac{4\\frac{4}{8}}{11 + (-9) + (-8)}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.4, bodu=74, $$\frac{13 + \frac{-13}{8}}{3\frac{1}{8} + 1\frac{2}{9}}=\textcolor{white}{2\frac{193}{313}}$$return {
["body"] = 74,
["id"] = "LX8ZLe_0322_1203",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 2.6166134185304,
["objekt"] = {
["hodnota"] = {
["citatel"] = 819,
["jmenovatel"] = 313 },
["render"] = "\\frac{6552}{2504}",
["typ"] = "cislo" },
["tex"] = "2\\frac{193}{313}",
["x"] = 2,
["y"] = 193,
["z"] = 313 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{8}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{-13}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} + 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "\\frac{13 + \\frac{-13}{8}}{3\\frac{1}{8} + 1\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.41, bodu=75, $$(7 + (-14) + 12 - 4\frac{4}{8})^2 \cdot \frac{3\frac{3}{10}}{9}=\textcolor{white}{\frac{11}{120}}$$return {
["body"] = 75,
["id"] = "5Dq82h_0322_1203",
["obtiznost"] = 0.812,
["reseni"] = {
["float"] = 0.091666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 120 },
["render"] = "\\frac{11}{120}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{120}",
["y"] = 11,
["z"] = 120 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.41",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "7 + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + (-14) + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "7 + (-14) + 12 - 4\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 + (-14) + 12 - 4\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{9}",
["typ"] = "lomeno" },
["render"] = "(7 + (-14) + 12 - 4\\frac{4}{8})^2 \\cdot \\frac{3\\frac{3}{10}}{9}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.42, bodu=17, $$(8 - 10)^2 \cdot (8 + 13) \cdot 12=\textcolor{white}{1008}$$return {
["body"] = 17,
["id"] = "D6v7cQ_0322_1203",
["obtiznost"] = 0.422,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1008,
["jmenovatel"] = 1 },
["render"] = "\\frac{1008}{1}",
["typ"] = "cislo" },
["tex"] = "1008",
["tex_float"] = "1008",
["x"] = 1008 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(8 + 13)",
["typ"] = "zavorka" },
["render"] = "(8 - 10)^2 \\cdot (8 + 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(8 - 10)^2 \\cdot (8 + 13) \\cdot 12",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.43, bodu=84, $$10 + (\frac{2\frac{3}{6}}{1\frac{1}{4}} + (-8) + 11)^3 + 4=\textcolor{white}{139}$$return {
["body"] = 84,
["id"] = "uWGOBP_0322_1203",
["obtiznost"] = 0.8804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 139,
["jmenovatel"] = 1 },
["render"] = "\\frac{139}{1}",
["typ"] = "cislo" },
["tex"] = "139",
["x"] = 139 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{1\\frac{1}{4}} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{1\\frac{1}{4}} + (-8) + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{3}{6}}{1\\frac{1}{4}} + (-8) + 11)^3",
["typ"] = "mocnina" },
["render"] = "10 + (\\frac{2\\frac{3}{6}}{1\\frac{1}{4}} + (-8) + 11)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 + (\\frac{2\\frac{3}{6}}{1\\frac{1}{4}} + (-8) + 11)^3 + 4",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.44, bodu=18, $$-5 + 9 - (9 - (-11)) \cdot -13=\textcolor{white}{264}$$return {
["body"] = 18,
["id"] = "uEMNf9_0322_1203",
["obtiznost"] = 0.44,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 264,
["jmenovatel"] = 1 },
["render"] = "\\frac{264}{1}",
["typ"] = "cislo" },
["tex"] = "264",
["x"] = 264 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.44",
["zadani"] = {
["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"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 - (-11)",
["typ"] = "minus" },
["render"] = "(9 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(9 - (-11)) \\cdot -13",
["typ"] = "krat" },
["render"] = "-5 + 9 - (9 - (-11)) \\cdot -13",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.45, bodu=64, $$\frac{5 \cdot 7}{1\frac{3}{7} - (\frac{-11}{7})^2}=\textcolor{white}{-33\frac{32}{51}}$$return {
["body"] = 64,
["id"] = "MgjMM1_0322_1203",
["obtiznost"] = 0.718,
["reseni"] = {
["float"] = -33.627450980392,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1715,
["jmenovatel"] = 51 },
["render"] = "\\frac{1715}{-51}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{32}{51}",
["x"] = -33,
["y"] = 32,
["z"] = 51 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["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"] = "1\\frac{3}{7} - (\\frac{-11}{7})^2",
["typ"] = "minus" },
["render"] = "\\frac{5 \\cdot 7}{1\\frac{3}{7} - (\\frac{-11}{7})^2}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.46, bodu=82, $$1\frac{3}{7} \cdot 11 - (11 + (-8))^2 \cdot 1\frac{3}{8}=\textcolor{white}{3\frac{19}{56}}$$return {
["body"] = 82,
["id"] = "wNosNp_0322_1203",
["obtiznost"] = 0.864,
["reseni"] = {
["float"] = 3.3392857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 187,
["jmenovatel"] = 56 },
["render"] = "\\frac{187}{56}",
["typ"] = "cislo" },
["tex"] = "3\\frac{19}{56}",
["x"] = 3,
["y"] = 19,
["z"] = 56 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(11 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(11 + (-8))^2 \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "1\\frac{3}{7} \\cdot 11 - (11 + (-8))^2 \\cdot 1\\frac{3}{8}",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.47, bodu=83, $$(-9 - 2\frac{2}{7}) \cdot (3\frac{4}{10} \cdot 13 - 14)=\textcolor{white}{-340\frac{29}{35}}$$return {
["body"] = 83,
["id"] = "H1jNAI_0322_1203",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -340.82857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11929,
["jmenovatel"] = 35 },
["render"] = "\\frac{-11929}{35}",
["typ"] = "cislo" },
["tex"] = "-340\\frac{29}{35}",
["x"] = -340,
["y"] = 29,
["z"] = 35 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(-9 - 2\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 13 - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{10} \\cdot 13 - 14)",
["typ"] = "zavorka" },
["render"] = "(-9 - 2\\frac{2}{7}) \\cdot (3\\frac{4}{10} \\cdot 13 - 14)",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.48, bodu=89, $$(\frac{(-13 + 9)^2}{3\frac{5}{9}})^2 - 1\frac{5}{10} \cdot 9=\textcolor{white}{6{,}75}$$return {
["body"] = 89,
["id"] = "A5cYgb_0322_1203",
["obtiznost"] = 0.9208,
["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"] = "c6KPczXaD2j5RxtONIG8_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-13 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 9)^2}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(-13 + 9)^2}{3\\frac{5}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 9",
["typ"] = "krat" },
["render"] = "(\\frac{(-13 + 9)^2}{3\\frac{5}{9}})^2 - 1\\frac{5}{10} \\cdot 9",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.49, bodu=61, $$\frac{11 \cdot 2\frac{3}{4}}{\frac{8}{-11}}=\textcolor{white}{-41\frac{19}{32}}$$return {
["body"] = 61,
["id"] = "K9TOFV_0322_1203",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -41.59375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1331,
["jmenovatel"] = 32 },
["render"] = "\\frac{1331}{-32}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{19}{32}",
["x"] = -41,
["y"] = 19,
["z"] = 32 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{3}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 \\cdot 2\\frac{3}{4}}{\\frac{8}{-11}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.5, bodu=41, $$\frac{\frac{16}{11}}{4\frac{2}{2}} \cdot 17=\textcolor{white}{4\frac{52}{55}}$$return {
["body"] = 41,
["id"] = "YOt0QX_0322_1203",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 4.9454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 55 },
["render"] = "\\frac{272}{55}",
["typ"] = "cislo" },
["tex"] = "4\\frac{52}{55}",
["x"] = 4,
["y"] = 52,
["z"] = 55 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{16}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{16}{11}}{4\\frac{2}{2}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{16}{11}}{4\\frac{2}{2}} \\cdot 17",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.51, bodu=115, $$\frac{4\frac{4}{6} + 15 \cdot -3}{2\frac{1}{8} + (-7 - 2\frac{3}{7})}=\textcolor{white}{5\frac{641}{1227}}$$return {
["body"] = 115,
["id"] = "FDzY8S_0322_1203",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 5.5224123879381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6776,
["jmenovatel"] = 1227 },
["render"] = "\\frac{-6776}{-1227}",
["typ"] = "cislo" },
["tex"] = "5\\frac{641}{1227}",
["x"] = 5,
["y"] = 641,
["z"] = 1227 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "15 \\cdot -3",
["typ"] = "krat" },
["render"] = "4\\frac{4}{6} + 15 \\cdot -3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-7 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "2\\frac{1}{8} + (-7 - 2\\frac{3}{7})",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{6} + 15 \\cdot -3}{2\\frac{1}{8} + (-7 - 2\\frac{3}{7})}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.52, bodu=89, $$(13 + 3\frac{5}{10}) \cdot (9 - 4) \cdot (-8 + 4\frac{2}{5})=\textcolor{white}{-297}$$return {
["body"] = 89,
["id"] = "seWrak_0322_1203",
["obtiznost"] = 0.92,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -297,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2970}{10}",
["typ"] = "cislo" },
["tex"] = "-297",
["tex_float"] = "-297",
["x"] = -297 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["render"] = "(9 - 4)",
["typ"] = "zavorka" },
["render"] = "(13 + 3\\frac{5}{10}) \\cdot (9 - 4)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(-8 + 4\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "(13 + 3\\frac{5}{10}) \\cdot (9 - 4) \\cdot (-8 + 4\\frac{2}{5})",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.53, bodu=66, $$\frac{(15 + (-13))^3 + 8 - (2\frac{4}{9} - 11)}{-11}=\textcolor{white}{-2\frac{23}{99}}$$return {
["body"] = 66,
["id"] = "TIJRQe_0322_1203",
["obtiznost"] = 0.7336,
["reseni"] = {
["float"] = -2.2323232323232,
["objekt"] = {
["hodnota"] = {
["citatel"] = -221,
["jmenovatel"] = 99 },
["render"] = "\\frac{221}{-99}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{23}{99}",
["x"] = -2,
["y"] = 23,
["z"] = 99 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["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"] = "plus" },
["mocnitel"] = 3,
["render"] = "(15 + (-13))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(15 + (-13))^3 + 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - 11)",
["typ"] = "zavorka" },
["render"] = "(15 + (-13))^3 + 8 - (2\\frac{4}{9} - 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(15 + (-13))^3 + 8 - (2\\frac{4}{9} - 11)}{-11}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.54, bodu=45, $$-10 \cdot (-16 - 11 + \frac{-10}{19})=\textcolor{white}{275\frac{5}{19}}$$return {
["body"] = 45,
["id"] = "ISBcOz_0322_1203",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 275.26315789474,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5230,
["jmenovatel"] = 19 },
["render"] = "\\frac{5230}{19}",
["typ"] = "cislo" },
["tex"] = "275\\frac{5}{19}",
["x"] = 275,
["y"] = 5,
["z"] = 19 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-16 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{19}",
["typ"] = "lomeno" },
["render"] = "-16 - 11 + \\frac{-10}{19}",
["typ"] = "plus" },
["render"] = "(-16 - 11 + \\frac{-10}{19})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (-16 - 11 + \\frac{-10}{19})",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.55, bodu=93, $$(14 + \frac{4\frac{1}{3}}{-8}) \cdot (5 - 1\frac{5}{9})=\textcolor{white}{46\frac{77}{216}}$$return {
["body"] = 93,
["id"] = "BvknaA_0322_1203",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 46.356481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10013,
["jmenovatel"] = 216 },
["render"] = "\\frac{10013}{216}",
["typ"] = "cislo" },
["tex"] = "46\\frac{77}{216}",
["x"] = 46,
["y"] = 77,
["z"] = 216 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{3}}{-8}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{4\\frac{1}{3}}{-8}",
["typ"] = "plus" },
["render"] = "(14 + \\frac{4\\frac{1}{3}}{-8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "5 - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(5 - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "(14 + \\frac{4\\frac{1}{3}}{-8}) \\cdot (5 - 1\\frac{5}{9})",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.56, bodu=69, $$((15 - 4\frac{2}{6}) \cdot ((-8 + (-6)) \cdot (13 + (-13))^3)^2)^2=\textcolor{white}{0}$$return {
["body"] = 69,
["id"] = "N5m3Ts_0322_1203",
["obtiznost"] = 0.7612,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.56",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "15 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(15 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-8 + (-6)",
["typ"] = "plus" },
["render"] = "(-8 + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-13))^3",
["typ"] = "mocnina" },
["render"] = "(-8 + (-6)) \\cdot (13 + (-13))^3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-8 + (-6)) \\cdot (13 + (-13))^3)^2",
["typ"] = "mocnina" },
["render"] = "(15 - 4\\frac{2}{6}) \\cdot ((-8 + (-6)) \\cdot (13 + (-13))^3)^2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((15 - 4\\frac{2}{6}) \\cdot ((-8 + (-6)) \\cdot (13 + (-13))^3)^2)^2",
["typ"] = "mocnina" } }
seed: c6KPczXaD2j5RxtONIG8_0.57, bodu=95, $$\frac{11 \cdot 2\frac{4}{9} + 11 - 4\frac{4}{10}}{-7}=\textcolor{white}{-4\frac{247}{315}}$$return {
["body"] = 95,
["id"] = "LEW1Ve_0322_1203",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -4.784126984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1507,
["jmenovatel"] = 315 },
["render"] = "\\frac{1507}{-315}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{247}{315}",
["x"] = -4,
["y"] = 247,
["z"] = 315 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "11 \\cdot 2\\frac{4}{9} + 11 - 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 2\\frac{4}{9} + 11 - 4\\frac{4}{10}}{-7}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.58, bodu=81, $$(-7 - (10 - (7 - 11))^2) \cdot 2\frac{4}{11}=\textcolor{white}{-479\frac{9}{11}}$$return {
["body"] = 81,
["id"] = "Faotlg_0322_1203",
["obtiznost"] = 0.8588,
["reseni"] = {
["float"] = -479.81818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5278,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5278}{11}",
["typ"] = "cislo" },
["tex"] = "-479\\frac{9}{11}",
["x"] = -479,
["y"] = 9,
["z"] = 11 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.58",
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["render"] = "(7 - 11)",
["typ"] = "zavorka" },
["render"] = "10 - (7 - 11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (7 - 11))^2",
["typ"] = "mocnina" },
["render"] = "-7 - (10 - (7 - 11))^2",
["typ"] = "minus" },
["render"] = "(-7 - (10 - (7 - 11))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(-7 - (10 - (7 - 11))^2) \\cdot 2\\frac{4}{11}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.59, bodu=98, $$\frac{3\frac{5}{10}}{-12 + 15 - (\frac{1\frac{5}{11}}{5} + 4)}=\textcolor{white}{-2\frac{101}{142}}$$return {
["body"] = 98,
["id"] = "5h7wfE_0322_1203",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -2.7112676056338,
["objekt"] = {
["hodnota"] = {
["citatel"] = -385,
["jmenovatel"] = 142 },
["render"] = "\\frac{385}{-142}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{101}{142}",
["x"] = -2,
["y"] = 101,
["z"] = 142 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{5} + 4",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{5}{11}}{5} + 4)",
["typ"] = "zavorka" },
["render"] = "15 - (\\frac{1\\frac{5}{11}}{5} + 4)",
["typ"] = "minus" },
["render"] = "-12 + 15 - (\\frac{1\\frac{5}{11}}{5} + 4)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{10}}{-12 + 15 - (\\frac{1\\frac{5}{11}}{5} + 4)}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.6, bodu=119, $$(-10 + 3\frac{3}{10} + 11) \cdot (\frac{3\frac{2}{6}}{(-13 + 11)^2})^3=\textcolor{white}{2\frac{211}{432}}$$return {
["body"] = 119,
["id"] = "QSTaG7_0322_1203",
["obtiznost"] = 1.1384,
["reseni"] = {
["float"] = 2.4884259259259,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1075,
["jmenovatel"] = 432 },
["render"] = "\\frac{5375}{2160}",
["typ"] = "cislo" },
["tex"] = "2\\frac{211}{432}",
["x"] = 2,
["y"] = 211,
["z"] = 432 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} + 11",
["typ"] = "plus" },
["render"] = "-10 + 3\\frac{3}{10} + 11",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{3}{10} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{2}{6}}{(-13 + 11)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3\\frac{2}{6}}{(-13 + 11)^2})^3",
["typ"] = "mocnina" },
["render"] = "(-10 + 3\\frac{3}{10} + 11) \\cdot (\\frac{3\\frac{2}{6}}{(-13 + 11)^2})^3",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.61, bodu=134, $$11 - (2\frac{3}{7} \cdot 4\frac{2}{8} + 11 + (\frac{15}{3\frac{3}{9}})^2)=\textcolor{white}{-30\frac{4}{7}}$$return {
["body"] = 134,
["id"] = "MCCmiw_0322_1203",
["obtiznost"] = 1.244,
["reseni"] = {
["float"] = -30.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -214,
["jmenovatel"] = 7 },
["render"] = "\\frac{-214}{7}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{4}{7}",
["x"] = -30,
["y"] = 4,
["z"] = 7 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{3\\frac{3}{9}})^2",
["typ"] = "mocnina" },
["render"] = "11 + (\\frac{15}{3\\frac{3}{9}})^2",
["typ"] = "plus" },
["render"] = "2\\frac{3}{7} \\cdot 4\\frac{2}{8} + 11 + (\\frac{15}{3\\frac{3}{9}})^2",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} \\cdot 4\\frac{2}{8} + 11 + (\\frac{15}{3\\frac{3}{9}})^2)",
["typ"] = "zavorka" },
["render"] = "11 - (2\\frac{3}{7} \\cdot 4\\frac{2}{8} + 11 + (\\frac{15}{3\\frac{3}{9}})^2)",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.62, bodu=103, $$(14 - 12)^4 - (2\frac{4}{11} + 10 - \frac{4\frac{4}{12}}{-7})=\textcolor{white}{3\frac{4}{231}}$$return {
["body"] = 103,
["id"] = "mUgwgB_0322_1203",
["obtiznost"] = 1.0268,
["reseni"] = {
["float"] = 3.017316017316,
["objekt"] = {
["hodnota"] = {
["citatel"] = 697,
["jmenovatel"] = 231 },
["render"] = "\\frac{697}{231}",
["typ"] = "cislo" },
["tex"] = "3\\frac{4}{231}",
["x"] = 3,
["y"] = 4,
["z"] = 231 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(14 - 12)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{-7}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{11} + 10 - \\frac{4\\frac{4}{12}}{-7}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{11} + 10 - \\frac{4\\frac{4}{12}}{-7})",
["typ"] = "zavorka" },
["render"] = "(14 - 12)^4 - (2\\frac{4}{11} + 10 - \\frac{4\\frac{4}{12}}{-7})",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.63, bodu=132, $$1\frac{2}{6} \cdot 11 \cdot -12 - (4\frac{3}{9} - 1\frac{2}{4})=\textcolor{white}{-178\frac{5}{6}}$$return {
["body"] = 132,
["id"] = "ZHAync_0322_1203",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -178.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1073,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1073}{6}",
["typ"] = "cislo" },
["tex"] = "-178\\frac{5}{6}",
["x"] = -178,
["y"] = 5,
["z"] = 6 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 11 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - 1\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{9} - 1\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{6} \\cdot 11 \\cdot -12 - (4\\frac{3}{9} - 1\\frac{2}{4})",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.64, bodu=56, $$\frac{-15}{-12 \cdot 11} - 17 \cdot -15=\textcolor{white}{255\frac{5}{44}}$$return {
["body"] = 56,
["id"] = "YNL0QC_0322_1203",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 255.11363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11225,
["jmenovatel"] = 44 },
["render"] = "\\frac{11225}{44}",
["typ"] = "cislo" },
["tex"] = "255\\frac{5}{44}",
["x"] = 255,
["y"] = 5,
["z"] = 44 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-15}{-12 \\cdot 11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "17 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{-15}{-12 \\cdot 11} - 17 \\cdot -15",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.65, bodu=106, $$\frac{(\frac{-6}{-14} - 1\frac{3}{7})^3}{\frac{1\frac{4}{11} + 14}{10}}=\textcolor{white}{-\frac{110}{169}}$$return {
["body"] = 106,
["id"] = "T7ku7A_0322_1203",
["obtiznost"] = 1.0508,
["reseni"] = {
["float"] = -0.6508875739645,
["objekt"] = {
["hodnota"] = {
["citatel"] = -110,
["jmenovatel"] = 169 },
["render"] = "\\frac{-110}{169}",
["typ"] = "cislo" },
["tex"] = "-\\frac{110}{169}",
["y"] = -110,
["z"] = 169 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-14} - 1\\frac{3}{7}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{-14} - 1\\frac{3}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11} + 14}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{-6}{-14} - 1\\frac{3}{7})^3}{\\frac{1\\frac{4}{11} + 14}{10}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.66, bodu=81, $$-10 + \frac{\frac{-10}{\frac{11}{-6}}}{2\frac{3}{7}}=\textcolor{white}{-7\frac{141}{187}}$$return {
["body"] = 81,
["id"] = "aCqjnP_0322_1203",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -7.7540106951872,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1450,
["jmenovatel"] = 187 },
["render"] = "\\frac{-1450}{187}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{141}{187}",
["x"] = -7,
["y"] = 141,
["z"] = 187 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10}{\\frac{11}{-6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{\\frac{11}{-6}}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{\\frac{-10}{\\frac{11}{-6}}}{2\\frac{3}{7}}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.67, bodu=83, $$\frac{13 + \frac{20}{\frac{2\frac{2}{6}}{14}}}{(-12 - (-13))^3}=\textcolor{white}{133}$$return {
["body"] = 83,
["id"] = "Epq3in_0322_1203",
["obtiznost"] = 0.8708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 133,
["jmenovatel"] = 1 },
["render"] = "\\frac{133}{1}",
["typ"] = "cislo" },
["tex"] = "133",
["tex_float"] = "133",
["x"] = 133 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{20}{\\frac{2\\frac{2}{6}}{14}}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{20}{\\frac{2\\frac{2}{6}}{14}}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-12 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-13))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13 + \\frac{20}{\\frac{2\\frac{2}{6}}{14}}}{(-12 - (-13))^3}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.68, bodu=60, $$\frac{-5 \cdot (\frac{-12}{-14} + 8)}{6}=\textcolor{white}{-7\frac{8}{21}}$$return {
["body"] = 60,
["id"] = "b0wqrw_0322_1203",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -7.3809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 21 },
["render"] = "\\frac{-310}{42}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{21}",
["x"] = -7,
["y"] = 8,
["z"] = 21 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-14} + 8",
["typ"] = "plus" },
["render"] = "(\\frac{-12}{-14} + 8)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (\\frac{-12}{-14} + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-5 \\cdot (\\frac{-12}{-14} + 8)}{6}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.69, bodu=112, $$-11 \cdot \frac{4\frac{5}{7}}{-16} - \frac{1\frac{3}{6}}{-16}=\textcolor{white}{3\frac{75}{224}}$$return {
["body"] = 112,
["id"] = "QkWxvP_0322_1203",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 3.3348214285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 747,
["jmenovatel"] = 224 },
["render"] = "\\frac{11952}{3584}",
["typ"] = "cislo" },
["tex"] = "3\\frac{75}{224}",
["x"] = 3,
["y"] = 75,
["z"] = 224 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{-16}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{4\\frac{5}{7}}{-16}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{-16}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{4\\frac{5}{7}}{-16} - \\frac{1\\frac{3}{6}}{-16}",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.7, bodu=113, $$4\frac{3}{8} \cdot 4\frac{1}{8} \cdot 9 \cdot -7 + (-12)=\textcolor{white}{-1148\frac{61}{64}}$$return {
["body"] = 113,
["id"] = "M2ghQl_0322_1203",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -1148.953125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -73533,
["jmenovatel"] = 64 },
["render"] = "\\frac{-73533}{64}",
["typ"] = "cislo" },
["tex"] = "-1148\\frac{61}{64}",
["x"] = -1148,
["y"] = 61,
["z"] = 64 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 \\cdot -7",
["typ"] = "krat" },
["render"] = "4\\frac{3}{8} \\cdot 4\\frac{1}{8} \\cdot 9 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 4\\frac{1}{8} \\cdot 9 \\cdot -7 + (-12)",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.71, bodu=115, $$-6 - (13 - 3\frac{4}{9}) + (-10 \cdot -17) + 2\frac{1}{7}=\textcolor{white}{156\frac{37}{63}}$$return {
["body"] = 115,
["id"] = "yvx9I0_0322_1203",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 156.5873015873,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9865,
["jmenovatel"] = 63 },
["render"] = "\\frac{9865}{63}",
["typ"] = "cislo" },
["tex"] = "156\\frac{37}{63}",
["x"] = 156,
["y"] = 37,
["z"] = 63 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(13 - 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-6 - (13 - 3\\frac{4}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -17",
["typ"] = "krat" },
["render"] = "-6 - (13 - 3\\frac{4}{9}) + (-10 \\cdot -17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-6 - (13 - 3\\frac{4}{9}) + (-10 \\cdot -17) + 2\\frac{1}{7}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.72, bodu=116, $$\frac{3\frac{1}{5} \cdot -12 \cdot (-12 + 1\frac{3}{10})}{-7}=\textcolor{white}{-58\frac{122}{175}}$$return {
["body"] = 116,
["id"] = "Y9IwVk_0322_1203",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -58.697142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10272,
["jmenovatel"] = 175 },
["render"] = "\\frac{10272}{-175}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{122}{175}",
["x"] = -58,
["y"] = 122,
["z"] = 175 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-12 + 1\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} \\cdot -12 \\cdot (-12 + 1\\frac{3}{10})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5} \\cdot -12 \\cdot (-12 + 1\\frac{3}{10})}{-7}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.73, bodu=180, $$\frac{(2\frac{1}{5} \cdot 2\frac{4}{11} + (-18)) \cdot 3\frac{3}{10} + 2\frac{4}{13}}{11}=\textcolor{white}{-3\frac{2253}{3575}}$$return {
["body"] = 180,
["id"] = "wd61i3_0322_1203",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -3.6302097902098,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12978,
["jmenovatel"] = 3575 },
["render"] = "\\frac{-12978}{3575}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{2253}{3575}",
["x"] = -3,
["y"] = 2253,
["z"] = 3575 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 2\\frac{4}{11} + (-18)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{5} \\cdot 2\\frac{4}{11} + (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{5} \\cdot 2\\frac{4}{11} + (-18)) \\cdot 3\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{5} \\cdot 2\\frac{4}{11} + (-18)) \\cdot 3\\frac{3}{10} + 2\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{1}{5} \\cdot 2\\frac{4}{11} + (-18)) \\cdot 3\\frac{3}{10} + 2\\frac{4}{13}}{11}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.74, bodu=146, $$\frac{\frac{-19}{16}}{4\frac{4}{10} - (15 - 4\frac{3}{6})^2}=\textcolor{white}{\frac{95}{8468}}$$return {
["body"] = 146,
["id"] = "JkhmJN_0322_1203",
["obtiznost"] = 1.318,
["reseni"] = {
["float"] = 0.011218705715635,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 8468 },
["render"] = "\\frac{-380}{-33872}",
["typ"] = "cislo" },
["tex"] = "\\frac{95}{8468}",
["y"] = 95,
["z"] = 8468 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "15 - 4\\frac{3}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - 4\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{10} - (15 - 4\\frac{3}{6})^2",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-19}{16}}{4\\frac{4}{10} - (15 - 4\\frac{3}{6})^2}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.75, bodu=151, $$4\frac{1}{2} - 4\frac{4}{8} - (12 \cdot 13 + 1\frac{3}{8} - (-18))=\textcolor{white}{-175{,}375}$$return {
["body"] = 151,
["id"] = "gHL1XS_0322_1203",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -175.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1403,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1403}{8}",
["typ"] = "cislo" },
["tex"] = "-175\\frac{3}{8}",
["tex_float"] = "-175{,}375",
["x"] = -175,
["y"] = 3,
["z"] = 8 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} - 4\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-18)",
["typ"] = "minus" },
["render"] = "12 \\cdot 13 + 1\\frac{3}{8} - (-18)",
["typ"] = "plus" },
["render"] = "(12 \\cdot 13 + 1\\frac{3}{8} - (-18))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{2} - 4\\frac{4}{8} - (12 \\cdot 13 + 1\\frac{3}{8} - (-18))",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.76, bodu=122, $$\frac{\frac{6}{-13}}{15} \cdot 3\frac{5}{8} \cdot 4\frac{2}{4}=\textcolor{white}{-\frac{261}{520}}$$return {
["body"] = 122,
["id"] = "TjCRov_0322_1203",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -0.50192307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -261,
["jmenovatel"] = 520 },
["render"] = "\\frac{-522}{1040}",
["typ"] = "cislo" },
["tex"] = "-\\frac{261}{520}",
["y"] = -261,
["z"] = 520 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{-13}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{6}{-13}}{15} \\cdot 3\\frac{5}{8} \\cdot 4\\frac{2}{4}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.77, bodu=111, $$(\frac{13}{-11})^2 \cdot 12 \cdot 10 - 3\frac{4}{5}=\textcolor{white}{163\frac{486}{605}}$$return {
["body"] = 111,
["id"] = "lbNixK_0322_1203",
["obtiznost"] = 1.086,
["reseni"] = {
["float"] = 163.80330578512,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99101,
["jmenovatel"] = 605 },
["render"] = "\\frac{99101}{605}",
["typ"] = "cislo" },
["tex"] = "163\\frac{486}{605}",
["x"] = 163,
["y"] = 486,
["z"] = 605 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{-11})^2 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{-11})^2 \\cdot 12 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{-11})^2 \\cdot 12 \\cdot 10 - 3\\frac{4}{5}",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.78, bodu=125, $$(-9 - (-8))^2 \cdot 3\frac{2}{5} - \frac{16}{3\frac{2}{6}}=\textcolor{white}{-1{,}4}$$return {
["body"] = 125,
["id"] = "7ujWf8_0322_1203",
["obtiznost"] = 1.1808,
["reseni"] = {
["float"] = -1.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 5 },
["render"] = "\\frac{-7}{5}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{5}",
["tex_float"] = "-1{,}4",
["x"] = -1,
["y"] = 2,
["z"] = 5 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-9 - (-8))^2 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "(-9 - (-8))^2 \\cdot 3\\frac{2}{5} - \\frac{16}{3\\frac{2}{6}}",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.79, bodu=98, $$10 \cdot 20 \cdot (-19 + 3\frac{3}{11}) \cdot -10=\textcolor{white}{31454\frac{6}{11}}$$return {
["body"] = 98,
["id"] = "l1Ox7N_0322_1203",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 31454.545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 346000,
["jmenovatel"] = 11 },
["render"] = "\\frac{346000}{11}",
["typ"] = "cislo" },
["tex"] = "31454\\frac{6}{11}",
["x"] = 31454,
["y"] = 6,
["z"] = 11 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-19 + 3\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(-19 + 3\\frac{3}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-19 + 3\\frac{3}{11}) \\cdot -10",
["typ"] = "krat" },
["render"] = "20 \\cdot (-19 + 3\\frac{3}{11}) \\cdot -10",
["typ"] = "krat" },
["render"] = "10 \\cdot 20 \\cdot (-19 + 3\\frac{3}{11}) \\cdot -10",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.8, bodu=104, $$9 \cdot (-16 + 21 + (\frac{-10}{-14})^2 - (16 - 2\frac{3}{10}))=\textcolor{white}{-73\frac{347}{490}}$$return {
["body"] = 104,
["id"] = "VRz6PW_0322_1203",
["obtiznost"] = 1.0296,
["reseni"] = {
["float"] = -73.708163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36117,
["jmenovatel"] = 490 },
["render"] = "\\frac{-36117}{490}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{347}{490}",
["x"] = -73,
["y"] = 347,
["z"] = 490 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-16 + 21",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{-14})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "16 - 2\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(16 - 2\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-10}{-14})^2 - (16 - 2\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "-16 + 21 + (\\frac{-10}{-14})^2 - (16 - 2\\frac{3}{10})",
["typ"] = "plus" },
["render"] = "(-16 + 21 + (\\frac{-10}{-14})^2 - (16 - 2\\frac{3}{10}))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (-16 + 21 + (\\frac{-10}{-14})^2 - (16 - 2\\frac{3}{10}))",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.81, bodu=160, $$\frac{\frac{1\frac{2}{9}}{21}}{1\frac{4}{8}} \cdot (2\frac{3}{5} - 6 - 11)=\textcolor{white}{-\frac{176}{315}}$$return {
["body"] = 160,
["id"] = "T8Jt5p_0322_1203",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -0.55873015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = -176,
["jmenovatel"] = 315 },
["render"] = "\\frac{-1584}{2835}",
["typ"] = "cislo" },
["tex"] = "-\\frac{176}{315}",
["y"] = -176,
["z"] = 315 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{2}{9}}{21}}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 6 - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{5} - 6 - 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{1\\frac{2}{9}}{21}}{1\\frac{4}{8}} \\cdot (2\\frac{3}{5} - 6 - 11)",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.82, bodu=162, $$\frac{1\frac{3}{9} - 13}{\frac{-13}{1\frac{2}{5}}} - (-13 + 2\frac{4}{10})=\textcolor{white}{11\frac{167}{195}}$$return {
["body"] = 162,
["id"] = "zdx3pI_0322_1203",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 11.85641025641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2312,
["jmenovatel"] = 195 },
["render"] = "\\frac{2312}{195}",
["typ"] = "cislo" },
["tex"] = "11\\frac{167}{195}",
["x"] = 11,
["y"] = 167,
["z"] = 195 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{9} - 13}{\\frac{-13}{1\\frac{2}{5}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{3}{9} - 13}{\\frac{-13}{1\\frac{2}{5}}} - (-13 + 2\\frac{4}{10})",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.83, bodu=163, $$\frac{\frac{2\frac{2}{10} - (-5)}{13 - (-9)}}{4\frac{5}{9} + 4\frac{2}{9}}=\textcolor{white}{\frac{162}{4345}}$$return {
["body"] = 163,
["id"] = "lws6DJ_0322_1203",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 0.037284234752589,
["objekt"] = {
["hodnota"] = {
["citatel"] = 162,
["jmenovatel"] = 4345 },
["render"] = "\\frac{162}{4345}",
["typ"] = "cislo" },
["tex"] = "\\frac{162}{4345}",
["y"] = 162,
["z"] = 4345 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} - (-5)",
["typ"] = "minus" },
["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"] = "minus" },
["render"] = "\\frac{2\\frac{2}{10} - (-5)}{13 - (-9)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 4\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{2}{10} - (-5)}{13 - (-9)}}{4\\frac{5}{9} + 4\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.84, bodu=105, $$-3 \cdot 10 + \frac{-19}{3\frac{2}{4} \cdot -17} - (-11)=\textcolor{white}{-18\frac{81}{119}}$$return {
["body"] = 105,
["id"] = "WEWth9_0322_1203",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -18.680672268908,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2223,
["jmenovatel"] = 119 },
["render"] = "\\frac{-2223}{119}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{81}{119}",
["x"] = -18,
["y"] = 81,
["z"] = 119 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{-19}{3\\frac{2}{4} \\cdot -17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{3\\frac{2}{4} \\cdot -17} - (-11)",
["typ"] = "minus" },
["render"] = "-3 \\cdot 10 + \\frac{-19}{3\\frac{2}{4} \\cdot -17} - (-11)",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.85, bodu=167, $$2\frac{4}{10} - \frac{-11}{19} - 4\frac{5}{15} \cdot 4\frac{1}{8} \cdot -14=\textcolor{white}{253\frac{87}{380}}$$return {
["body"] = 167,
["id"] = "3NfVAb_0322_1203",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 253.22894736842,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96227,
["jmenovatel"] = 380 },
["render"] = "\\frac{96227}{380}",
["typ"] = "cislo" },
["tex"] = "253\\frac{87}{380}",
["x"] = 253,
["y"] = 87,
["z"] = 380 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{19}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{10} - \\frac{-11}{19}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{15} \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{15} \\cdot 4\\frac{1}{8} \\cdot -14",
["typ"] = "krat" },
["render"] = "2\\frac{4}{10} - \\frac{-11}{19} - 4\\frac{5}{15} \\cdot 4\\frac{1}{8} \\cdot -14",
["typ"] = "minus" } }
seed: c6KPczXaD2j5RxtONIG8_0.86, bodu=211, $$12 \cdot 2\frac{4}{12} \cdot (13 \cdot -18 + (1\frac{3}{6} + (-14))^2 - 1\frac{4}{13})=\textcolor{white}{-2213\frac{8}{13}}$$return {
["body"] = 211,
["id"] = "7uI6f8_0322_1203",
["obtiznost"] = 1.7116,
["reseni"] = {
["float"] = -2213.6153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28777,
["jmenovatel"] = 13 },
["render"] = "\\frac{-115108}{52}",
["typ"] = "cislo" },
["tex"] = "-2213\\frac{8}{13}",
["x"] = -2213,
["y"] = 8,
["z"] = 13 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "13 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + (-14)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} + (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{6} + (-14))^2 - 1\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "13 \\cdot -18 + (1\\frac{3}{6} + (-14))^2 - 1\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(13 \\cdot -18 + (1\\frac{3}{6} + (-14))^2 - 1\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot 2\\frac{4}{12} \\cdot (13 \\cdot -18 + (1\\frac{3}{6} + (-14))^2 - 1\\frac{4}{13})",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.87, bodu=204, $$\frac{2\frac{1}{7}}{1\frac{5}{10}} \cdot (2\frac{1}{10} + 11 - (3\frac{2}{7} - 10))=\textcolor{white}{28\frac{15}{49}}$$return {
["body"] = 204,
["id"] = "vrYxXb_0322_1203",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 28.30612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1387,
["jmenovatel"] = 49 },
["render"] = "\\frac{13870}{490}",
["typ"] = "cislo" },
["tex"] = "28\\frac{15}{49}",
["x"] = 28,
["y"] = 15,
["z"] = 49 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 10",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - 10)",
["typ"] = "zavorka" },
["render"] = "11 - (3\\frac{2}{7} - 10)",
["typ"] = "minus" },
["render"] = "2\\frac{1}{10} + 11 - (3\\frac{2}{7} - 10)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{10} + 11 - (3\\frac{2}{7} - 10))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{7}}{1\\frac{5}{10}} \\cdot (2\\frac{1}{10} + 11 - (3\\frac{2}{7} - 10))",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.88, bodu=172, $$(3\frac{2}{9} - (-15 - 19 - 1\frac{2}{10}) + (-14)) \cdot \frac{3\frac{3}{12}}{21}=\textcolor{white}{3\frac{421}{540}}$$return {
["body"] = 172,
["id"] = "G2e8iW_0322_1203",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 3.7796296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2041,
["jmenovatel"] = 540 },
["render"] = "\\frac{14287}{3780}",
["typ"] = "cislo" },
["tex"] = "3\\frac{421}{540}",
["x"] = 3,
["y"] = 421,
["z"] = 540 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-15 - 19",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-15 - 19 - 1\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(-15 - 19 - 1\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{9} - (-15 - 19 - 1\\frac{2}{10})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - (-15 - 19 - 1\\frac{2}{10}) + (-14)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} - (-15 - 19 - 1\\frac{2}{10}) + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{12}}{21}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{2}{9} - (-15 - 19 - 1\\frac{2}{10}) + (-14)) \\cdot \\frac{3\\frac{3}{12}}{21}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.89, bodu=243, $$4\frac{2}{4} - (4\frac{5}{12} - (16 + \frac{16}{4\frac{2}{8}})) + 1\frac{3}{9} + 3\frac{2}{13}=\textcolor{white}{24\frac{889}{2652}}$$return {
["body"] = 243,
["id"] = "6R8Lc0_0322_1203",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = 24.335218702866,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64537,
["jmenovatel"] = 2652 },
["render"] = "\\frac{193611}{7956}",
["typ"] = "cislo" },
["tex"] = "24\\frac{889}{2652}",
["x"] = 24,
["y"] = 889,
["z"] = 2652 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "16 + \\frac{16}{4\\frac{2}{8}}",
["typ"] = "plus" },
["render"] = "(16 + \\frac{16}{4\\frac{2}{8}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} - (16 + \\frac{16}{4\\frac{2}{8}})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - (16 + \\frac{16}{4\\frac{2}{8}}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{4} - (4\\frac{5}{12} - (16 + \\frac{16}{4\\frac{2}{8}}))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 13 },
["render"] = "3\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 3\\frac{2}{13}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{4} - (4\\frac{5}{12} - (16 + \\frac{16}{4\\frac{2}{8}})) + 1\\frac{3}{9} + 3\\frac{2}{13}",
["typ"] = "plus" } }
seed: c6KPczXaD2j5RxtONIG8_0.9, bodu=143, $$\frac{3\frac{4}{9} + 7}{\frac{\frac{24}{-13}}{4\frac{1}{3}} - (13 + 20)}=\textcolor{white}{-\frac{15886}{50841}}$$return {
["body"] = 143,
["id"] = "r5l7Vv_0322_1203",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -0.31246434963907,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15886,
["jmenovatel"] = 50841 },
["render"] = "\\frac{15886}{-50841}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15886}{50841}",
["y"] = -15886,
["z"] = 50841 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{24}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{24}{-13}}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "13 + 20",
["typ"] = "plus" },
["render"] = "(13 + 20)",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{24}{-13}}{4\\frac{1}{3}} - (13 + 20)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{9} + 7}{\\frac{\\frac{24}{-13}}{4\\frac{1}{3}} - (13 + 20)}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.91, bodu=128, $$\frac{\frac{-9 - 15}{4}}{(-9 \cdot (-13 - (-14)))^3}=\textcolor{white}{\frac{2}{243}}$$return {
["body"] = 128,
["id"] = "atpB9R_0322_1203",
["obtiznost"] = 1.202,
["reseni"] = {
["float"] = 0.0082304526748971,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 243 },
["render"] = "\\frac{-6}{-729}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{243}",
["y"] = 2,
["z"] = 243 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-9 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 15}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 - (-14)",
["typ"] = "minus" },
["render"] = "(-13 - (-14))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-13 - (-14))",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(-9 \\cdot (-13 - (-14)))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-9 - 15}{4}}{(-9 \\cdot (-13 - (-14)))^3}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.92, bodu=213, $$(4\frac{4}{15} - 4\frac{4}{13} + 4) \cdot \frac{3\frac{1}{5} - 1\frac{2}{8}}{13}=\textcolor{white}{\frac{193}{325}}$$return {
["body"] = 213,
["id"] = "oU8DlX_0322_1203",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 0.59384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 193,
["jmenovatel"] = 325 },
["render"] = "\\frac{2316}{3900}",
["typ"] = "cislo" },
["tex"] = "\\frac{193}{325}",
["y"] = 193,
["z"] = 325 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 15 },
["render"] = "4\\frac{4}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{15} - 4\\frac{4}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{15} - 4\\frac{4}{13} + 4",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{15} - 4\\frac{4}{13} + 4)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 1\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5} - 1\\frac{2}{8}}{13}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{4}{15} - 4\\frac{4}{13} + 4) \\cdot \\frac{3\\frac{1}{5} - 1\\frac{2}{8}}{13}",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.93, bodu=148, $$\frac{9 \cdot 21 - (-16) + 2\frac{4}{14} + 2\frac{2}{8}}{-8 + 19}=\textcolor{white}{19\frac{15}{308}}$$return {
["body"] = 148,
["id"] = "gTAIxT_0322_1203",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 19.048701298701,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5867,
["jmenovatel"] = 308 },
["render"] = "\\frac{5867}{308}",
["typ"] = "cislo" },
["tex"] = "19\\frac{15}{308}",
["x"] = 19,
["y"] = 15,
["z"] = 308 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "9 \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "9 \\cdot 21 - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "9 \\cdot 21 - (-16) + 2\\frac{4}{14} + 2\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-8 + 19",
["typ"] = "plus" },
["render"] = "\\frac{9 \\cdot 21 - (-16) + 2\\frac{4}{14} + 2\\frac{2}{8}}{-8 + 19}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.94, bodu=181, $$\frac{-18 \cdot \frac{-19}{-12 + 1\frac{2}{10} \cdot 4\frac{1}{10}}}{1\frac{4}{10}}=\textcolor{white}{-34\frac{208}{413}}$$return {
["body"] = 181,
["id"] = "LNND3E_0322_1203",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -34.503631961259,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14250,
["jmenovatel"] = 413 },
["render"] = "\\frac{-14250}{413}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{208}{413}",
["x"] = -34,
["y"] = 208,
["z"] = 413 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} \\cdot 4\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "-12 + 1\\frac{2}{10} \\cdot 4\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-19}{-12 + 1\\frac{2}{10} \\cdot 4\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "-18 \\cdot \\frac{-19}{-12 + 1\\frac{2}{10} \\cdot 4\\frac{1}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 \\cdot \\frac{-19}{-12 + 1\\frac{2}{10} \\cdot 4\\frac{1}{10}}}{1\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.95, bodu=183, $$\frac{1\frac{1}{3} + (-11 - 5)}{(1\frac{4}{6} + 4\frac{4}{14}) \cdot \frac{13}{-9}}=\textcolor{white}{1\frac{1147}{1625}}$$return {
["body"] = 183,
["id"] = "n7aXcl_0322_1203",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 1.7058461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2772,
["jmenovatel"] = 1625 },
["render"] = "\\frac{-8316}{-4875}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1147}{1625}",
["x"] = 1,
["y"] = 1147,
["z"] = 1625 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 - 5",
["typ"] = "minus" },
["render"] = "1\\frac{1}{3} + (-11 - 5)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} + 4\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{6} + 4\\frac{4}{14})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-9}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{4}{6} + 4\\frac{4}{14}) \\cdot \\frac{13}{-9}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{3} + (-11 - 5)}{(1\\frac{4}{6} + 4\\frac{4}{14}) \\cdot \\frac{13}{-9}}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.96, bodu=185, $$1\frac{1}{10} \cdot 3\frac{3}{9} \cdot 3\frac{4}{7} \cdot (19 - (24 + 9))=\textcolor{white}{-183\frac{1}{3}}$$return {
["body"] = 185,
["id"] = "eYMe6n_0322_1203",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -183.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -550,
["jmenovatel"] = 3 },
["render"] = "\\frac{-3850}{21}",
["typ"] = "cislo" },
["tex"] = "-183\\frac{1}{3}",
["x"] = -183,
["y"] = 1,
["z"] = 3 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} \\cdot 3\\frac{3}{9} \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "24 + 9",
["typ"] = "plus" },
["render"] = "(24 + 9)",
["typ"] = "zavorka" },
["render"] = "19 - (24 + 9)",
["typ"] = "minus" },
["render"] = "(19 - (24 + 9))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{10} \\cdot 3\\frac{3}{9} \\cdot 3\\frac{4}{7} \\cdot (19 - (24 + 9))",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.97, bodu=159, $$14 \cdot (3\frac{2}{12} - (-21) + (-15 - (-6))^2 - (3\frac{4}{7} - (-21)))=\textcolor{white}{1128\frac{1}{3}}$$return {
["body"] = 159,
["id"] = "zUsu0G_0322_1203",
["obtiznost"] = 1.4028,
["reseni"] = {
["float"] = 1128.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3385,
["jmenovatel"] = 3 },
["render"] = "\\frac{47390}{42}",
["typ"] = "cislo" },
["tex"] = "1128\\frac{1}{3}",
["x"] = 1128,
["y"] = 1,
["z"] = 3 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{12} - (-21)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-15 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-6))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - (-21)",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{7} - (-21))",
["typ"] = "zavorka" },
["render"] = "(-15 - (-6))^2 - (3\\frac{4}{7} - (-21))",
["typ"] = "minus" },
["render"] = "3\\frac{2}{12} - (-21) + (-15 - (-6))^2 - (3\\frac{4}{7} - (-21))",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{12} - (-21) + (-15 - (-6))^2 - (3\\frac{4}{7} - (-21)))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (3\\frac{2}{12} - (-21) + (-15 - (-6))^2 - (3\\frac{4}{7} - (-21)))",
["typ"] = "krat" } }
seed: c6KPczXaD2j5RxtONIG8_0.98, bodu=188, $$\frac{2\frac{1}{13} \cdot 1\frac{5}{11} \cdot 2\frac{2}{9} \cdot 17}{-5}=\textcolor{white}{-22\frac{118}{143}}$$return {
["body"] = 188,
["id"] = "05y8tw_0322_1203",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -22.825174825175,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3264,
["jmenovatel"] = 143 },
["render"] = "\\frac{16320}{-715}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{118}{143}",
["x"] = -22,
["y"] = 118,
["z"] = 143 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 13 },
["render"] = "2\\frac{1}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 17",
["typ"] = "krat" },
["render"] = "1\\frac{5}{11} \\cdot 2\\frac{2}{9} \\cdot 17",
["typ"] = "krat" },
["render"] = "2\\frac{1}{13} \\cdot 1\\frac{5}{11} \\cdot 2\\frac{2}{9} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{13} \\cdot 1\\frac{5}{11} \\cdot 2\\frac{2}{9} \\cdot 17}{-5}",
["typ"] = "lomeno" } }
seed: c6KPczXaD2j5RxtONIG8_0.99, bodu=157, $$(2\frac{1}{7} - (-12)) \cdot (\frac{-15}{14} - (-12) + 2\frac{1}{5})=\textcolor{white}{185\frac{331}{490}}$$return {
["body"] = 157,
["id"] = "5rydHF_0322_1203",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 185.67551020408,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90981,
["jmenovatel"] = 490 },
["render"] = "\\frac{90981}{490}",
["typ"] = "cislo" },
["tex"] = "185\\frac{331}{490}",
["x"] = 185,
["y"] = 331,
["z"] = 490 },
["seed"] = "c6KPczXaD2j5RxtONIG8_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{14} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{14} - (-12) + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{-15}{14} - (-12) + 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{7} - (-12)) \\cdot (\\frac{-15}{14} - (-12) + 2\\frac{1}{5})",
["typ"] = "krat" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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