מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות פשוטות בנעלם אחד/תרגילים/רמה ה

תרגילים

למזוכיסטים שבינינו, הנה מספר גדול במיוחד של משוואות ארוכות במיוחד. ניתן להשתמש במחשבון, אך אתגר אמיתי ניתן למצוא כאן ללא שימוש בו. למותר לציין, כי תרגילים אלו כאן למען אותם תלמידים אשר מעוניינים לחדד את יכולתם מעבר לנדרש ברוב הרמות.

1. ${\frac {14}{9}}-{\frac {3}{8}}x+{\frac {1}{3}}+{\frac {3}{11}}x+{\frac {11}{9}}-{\frac {3}{5}}+{\frac {3}{13}}x-{\frac {17}{6}}x+{\frac {13}{18}}={\frac {4}{5}}+14x+{\frac {1730369}{4290}}$
2. ${\frac {4}{3}}x-{\frac {7}{9}}x-{\frac {5}{6}}-{\frac {3}{5}}+{\frac {7}{5}}-2x-{\frac {1}{3}}+{\frac {13}{11}}=-{\frac {1}{17}}+1+13x+{\frac {4859879}{16830}}$
3. $\ {\frac {6}{11}}x+{\frac {12}{17}}x{-{\frac {4}{3}}}x+{\frac {11}{15}}+{\frac {6}{5}}+{11}+{\frac {3}{2}}x={-{\frac {1}{5}}}{-{\frac {9}{2}}}x-{\frac {1}{3}}-{\frac {17}{10}}+{\frac {116617}{1122}}$
4. $\ {-1}+{\frac {6}{13}}x{-{\frac {16}{9}}}x{-{\frac {16}{9}}}{-{\frac {7}{5}}}+{\frac {1}{2}}x={\frac {11}{4}}+{\frac {3}{14}}x+{\frac {6}{5}}{-1}+{\frac {7}{5}}x{-{\frac {8549}{1820}}}$
5. $\ {\frac {12}{11}}x+{\frac {5}{14}}x{-{\frac {1}{3}}}x{-{\frac {3}{2}}}+{\frac {1}{3}}{-{\frac {9}{14}}}=-11x{-6}x{-{\frac {2}{3}}}+{\frac {8}{13}}+{\frac {7}{8}}+{\frac {864625}{2184}}$
6. $\ {-{\frac {5}{11}}}{-{\frac {17}{18}}}{-{\frac {1}{14}}}{-{\frac {1}{3}}}{-{\frac {1}{5}}}+{\frac {15}{11}}{-{\frac {11}{10}}}={\frac {17}{7}}{-{\frac {4}{3}}}x{-{\frac {3}{5}}}{-6}{-{\frac {13433}{990}}}$
7. $\ {-{\frac {8}{7}}}x{-{\frac {1}{3}}}{-{\frac {1}{14}}}{-11}+{\frac {16}{17}}+{\frac {3}{7}}x={\frac {11}{6}}x+{\frac {10}{13}}+{\frac {4}{5}}x+{\frac {11}{4}}+{7}x{-{\frac {18586273}{92820}}}$
8. $\ {\frac {4}{11}}x+{\frac {9}{4}}x{-12}x{-{\frac {11}{15}}}x{-{\frac {2}{3}}}{-{\frac {7}{12}}}x{-{\frac {7}{17}}}={9}+{\frac {16}{5}}x{-{\frac {1}{6}}}x{-{\frac {1}{2}}}x+{\frac {602906}{2805}}$
9. $\ {-{\frac {12}{17}}}{-{\frac {4}{3}}}x+{2}x+{\frac {14}{15}}{-1}+{\frac {9}{5}}={-4}x-x{-{\frac {16}{7}}}x{-{\frac {15}{14}}}+{\frac {1}{15}}x{-{\frac {696307}{3570}}}$
10. $\ {-2}+{\frac {7}{13}}{-{\frac {11}{18}}}x+{\frac {4}{3}}+x{-{\frac {8}{9}}}+{\frac {1}{5}}x={\frac {4}{7}}{-{\frac {5}{8}}}+{\frac {3}{2}}x+{\frac {7}{5}}{-{\frac {274543}{10920}}}$
11. $\ {-{\frac {2}{11}}}+{\frac {7}{2}}x{-11}{-{\frac {2}{9}}}x{-{\frac {1}{9}}}x{-{\frac {13}{14}}}={-{\frac {16}{7}}}{-{\frac {16}{3}}}+{\frac {2}{3}}x{-{\frac {5}{6}}}+{\frac {1}{13}}+{\frac {322913}{6006}}$
12. $\ {-{\frac {5}{6}}}+{\frac {4}{9}}+{1}{-17}x={-{\frac {9}{7}}}+{\frac {1}{12}}x{-{\frac {13}{8}}}{-{\frac {4}{5}}}x{-{\frac {5}{18}}}x+{\frac {2}{7}}x{-{\frac {2}{7}}}x+{\frac {258407}{840}}$
13. $\ {\frac {15}{8}}x{-{\frac {16}{9}}}+{\frac {3}{7}}{-16}x+{2}x{-{\frac {17}{8}}}x={-{\frac {11}{13}}}+{\frac {11}{14}}{-{\frac {6}{7}}}x+{\frac {9}{13}}{-{\frac {17}{13}}}+{\frac {480419}{3276}}$
14. $\ {\frac {1}{4}}+{1}{-{\frac {8}{9}}}{-{\frac {1}{11}}}x+{\frac {1}{9}}x{-{\frac {15}{14}}}x={\frac {11}{6}}x{-{\frac {4}{7}}}{-{\frac {15}{4}}}x{-12}x+{\frac {7}{4}}x{-{\frac {30577}{252}}}$
15. $\ {-{\frac {1}{11}}}x+{\frac {1}{5}}+{\frac {15}{4}}x{-{\frac {16}{9}}}+{2}{-{\frac {18}{17}}}{-{\frac {2}{7}}}+{\frac {1}{2}}x+{\frac {1}{3}}={\frac {10}{7}}{-{\frac {2}{3}}}x+{\frac {1115437}{10710}}$
16. $\ {1}{-{\frac {6}{13}}}+{\frac {1}{3}}x{-4}x{-{\frac {2}{17}}}+{\frac {4}{17}}x+{\frac {7}{5}}x+{\frac {1}{8}}x={-{\frac {7}{12}}}{-{\frac {13}{2}}}x+{\frac {15}{13}}+{\frac {60713}{1326}}$
17. $\ {-{\frac {4}{11}}}-x{-{\frac {6}{7}}}x{-{\frac {7}{5}}}+{\frac {14}{11}}+{\frac {4}{7}}x={-{\frac {1}{3}}}x{-{\frac {17}{7}}}+{\frac {1}{13}}{-{\frac {6}{13}}}{-{\frac {13}{14}}}x+{\frac {35584}{15015}}$
18. $\ {\frac {5}{3}}+{\frac {2}{7}}+{\frac {11}{8}}x{-{\frac {1}{7}}}+{\frac {5}{8}}{-{\frac {3}{2}}}{-10}x{-{\frac {14}{17}}}+{\frac {13}{11}}x{-{\frac {1}{3}}}={\frac {1}{16}}x{-{\frac {8031119}{62832}}}$
19. $\ {\frac {7}{15}}{-{\frac {5}{18}}}+{\frac {6}{11}}x{-{\frac {5}{3}}}x+{\frac {17}{9}}+{\frac {14}{11}}={\frac {8}{7}}x+x+{\frac {3}{8}}x{-{\frac {13}{14}}}+{\frac {13}{9}}+{\frac {41277}{440}}$
20. $\ {\frac {1}{7}}x+{\frac {5}{7}}x+{\frac {5}{9}}{-1}{-{\frac {17}{14}}}+{\frac {2}{9}}x{-2}={\frac {17}{7}}+{\frac {4}{9}}{-{\frac {6}{13}}}x{-7}x{-{\frac {22951}{182}}}$
21. $\ {4}{-{\frac {8}{17}}}x{-{\frac {13}{12}}}{-{\frac {3}{11}}}x+{\frac {12}{13}}+{\frac {11}{12}}x{-{\frac {3}{16}}}={9}x{-{\frac {7}{2}}}x{-{\frac {9}{7}}}{-{\frac {7}{15}}}x{-{\frac {75360821}{816816}}}$
22. $\ {\frac {5}{13}}x{-{\frac {8}{9}}}+{\frac {17}{4}}x+{\frac {9}{4}}+{\frac {1}{7}}x+{\frac {9}{7}}x={\frac {17}{3}}x{-{\frac {17}{6}}}x+{\frac {15}{13}}+{\frac {1}{2}}x{-{\frac {7}{4}}}x+{\frac {220819}{3276}}$
23. $\ x+{\frac {5}{2}}{-2}x{-{\frac {7}{5}}}x{-{\frac {8}{11}}}+{\frac {16}{9}}x={\frac {5}{2}}+{\frac {4}{7}}x{-4}x{-{\frac {16}{13}}}{-3}{-{\frac {1864777}{45045}}}$
24. $\ {\frac {13}{17}}x+x+{\frac {10}{11}}x{-{\frac {9}{5}}}+{\frac {1}{4}}x+{3}x{-3}x{-17}={-{\frac {13}{9}}}x{-{\frac {9}{5}}}x{-{\frac {3}{14}}}+{\frac {1887461}{23562}}$
25. $\ {-{\frac {4}{3}}}x{-{\frac {1}{6}}}+{\frac {1}{9}}+{\frac {18}{5}}x+{9}{-7}x+{\frac {15}{4}}x+{\frac {11}{5}}={-1}+{\frac {17}{7}}x+{\frac {8}{17}}x+{\frac {176971}{21420}}$
26. $\ {-{\frac {1}{3}}}x{-{\frac {2}{9}}}{-{\frac {13}{7}}}{-{\frac {1}{3}}}x{-{\frac {17}{6}}}{-{\frac {7}{8}}}{-{\frac {2}{3}}}={\frac {2}{13}}x{-{\frac {8}{5}}}x{-{\frac {13}{8}}}x{-{\frac {9}{2}}}+{\frac {100307}{4095}}$
27. $\ {-{\frac {16}{9}}}x+{\frac {4}{9}}x{-1}+{\frac {11}{2}}x+{2}+{\frac {2}{7}}x{-{\frac {4}{7}}}x={-{\frac {9}{5}}}+{\frac {5}{4}}x+{\frac {3}{4}}x{-{\frac {1}{2}}}+{\frac {3391}{70}}$
28. $\ {\frac {6}{5}}{-{\frac {2}{13}}}{-{\frac {7}{4}}}x{-{\frac {13}{2}}}+{1}{-{\frac {2}{3}}}={-{\frac {13}{12}}}{-{\frac {3}{8}}}+{\frac {7}{13}}{-2}x{-{\frac {3}{14}}}{-{\frac {62641}{10920}}}$
29. $\ {\frac {17}{12}}{-{\frac {9}{13}}}+{\frac {9}{2}}+{\frac {10}{3}}x{-{\frac {14}{15}}}x{-{\frac {4}{17}}}=-x+{\frac {11}{10}}+{2}{-{\frac {1}{2}}}x{-{\frac {7}{17}}}x{-{\frac {1404301}{13260}}}$
30. $\ {\frac {4}{5}}+{\frac {17}{7}}+{12}+{\frac {3}{5}}x+{\frac {1}{14}}x+{\frac {11}{8}}{-{\frac {9}{4}}}x={\frac {7}{4}}+{\frac {11}{9}}x{-{\frac {3}{17}}}{-{\frac {1}{4}}}x+{\frac {105353}{14280}}$
31. $\ {2}x+{\frac {5}{13}}{-{\frac {18}{5}}}+{7}x{-{\frac {16}{17}}}{-1}{-{\frac {9}{8}}}x+{\frac {3}{7}}{-{\frac {4}{5}}}x{-{\frac {5}{16}}}={-{\frac {17}{5}}}+{\frac {6801789}{123760}}$
32. $\ {\frac {1}{6}}x{-{\frac {1}{3}}}+{10}{-{\frac {3}{5}}}{-{\frac {16}{17}}}+{\frac {8}{3}}{-{\frac {1}{2}}}={-{\frac {7}{3}}}x{-{\frac {18}{13}}}x{-{\frac {17}{14}}}x+{\frac {17}{2}}+{\frac {159907}{23205}}$
33. $\ {\frac {16}{3}}{-{\frac {7}{13}}}x+{2}x+{\frac {5}{3}}{-5}{-2}+{\frac {1}{2}}={-{\frac {13}{16}}}x+{\frac {10}{11}}+{5}{-1}{-{\frac {7725}{572}}}$
34. $\ {\frac {5}{17}}{-2}x{-{\frac {1}{6}}}+{\frac {12}{13}}{-{\frac {9}{5}}}={\frac {17}{10}}x{-{\frac {2}{3}}}x{-{\frac {7}{5}}}x+{3}+x+{\frac {4}{5}}{-{\frac {198401}{3315}}}$
35. $\ {1}+{4}x+{\frac {15}{8}}x+{\frac {14}{13}}={4}x{-{\frac {3}{5}}}+{\frac {6}{7}}+{\frac {5}{3}}x+{\frac {2}{11}}{-{\frac {13}{9}}}x{-{\frac {9}{4}}}x{-{\frac {15175327}{180180}}}$
36. $\ {\frac {15}{4}}x{-7}{-{\frac {1}{2}}}{-{\frac {7}{10}}}+{\frac {6}{7}}={\frac {11}{2}}+{\frac {5}{14}}x-x+{\frac {17}{3}}+{9}x{-{\frac {2}{5}}}x+{\frac {17317}{210}}$
37. $\ {-{\frac {7}{8}}}+{\frac {5}{13}}{-2}x+{\frac {8}{11}}{-{\frac {3}{2}}}x+{\frac {2}{3}}={-{\frac {17}{10}}}{-{\frac {7}{5}}}{-{\frac {7}{3}}}x+{\frac {4}{5}}x{-11}+{\frac {37993}{3432}}$
38. $\ {\frac {17}{9}}{-1}+{\frac {5}{14}}x+{\frac {8}{3}}+{\frac {1}{2}}+{\frac {1}{2}}x={-{\frac {3}{13}}}{-{\frac {3}{13}}}x+{\frac {6}{5}}x+{\frac {18}{5}}{-{\frac {3}{10}}}x{-{\frac {1907}{585}}}$
39. $\ {\frac {1}{3}}{-{\frac {5}{4}}}{-{\frac {5}{16}}}x{-{\frac {8}{5}}}={-{\frac {7}{13}}}+{2}{-15}+{\frac {1}{17}}x+{\frac {8}{13}}x+{\frac {17}{9}}x+{5}{-{\frac {9565807}{159120}}}$
40. $\ {\frac {3}{11}}+{\frac {1}{13}}x{-2}{-{\frac {1}{13}}}x+{\frac {3}{16}}x+{\frac {1}{3}}x{-{\frac {11}{16}}}+{\frac {4}{3}}x+{\frac {11}{4}}={1}+{\frac {15}{7}}{-{\frac {30871}{1232}}}$
41. $\ {\frac {13}{11}}-x{-{\frac {4}{13}}}{-{\frac {9}{13}}}x{-{\frac {4}{9}}}x+{\frac {4}{3}}x+{\frac {9}{4}}={16}{-{\frac {1}{8}}}x{-{\frac {4}{7}}}x{-{\frac {2}{13}}}x{-{\frac {1853}{154}}}$
42. $\ {\frac {5}{9}}x+{\frac {9}{2}}{-{\frac {5}{2}}}x+{\frac {7}{13}}+{\frac {3}{8}}x{-{\frac {1}{4}}}x={-{\frac {17}{5}}}x-x{-{\frac {3}{11}}}+{\frac {11}{2}}+{\frac {5}{2}}x+{\frac {907}{17160}}$
43. $\ {\frac {8}{7}}x+{1}+{\frac {5}{9}}+{\frac {17}{11}}x+{\frac {15}{14}}={-{\frac {5}{2}}}{-{\frac {14}{5}}}x{-{\frac {17}{2}}}x+{\frac {1}{8}}x+{\frac {5}{4}}x{-{\frac {13}{10}}}+{\frac {1926361}{27720}}$
44. $\ {-{\frac {2}{3}}}+{\frac {11}{18}}x{-{\frac {1}{17}}}{-{\frac {1}{2}}}x{-3}x{-8}x+{\frac {4}{3}}x{-{\frac {7}{5}}}={\frac {11}{7}}x+{\frac {2}{5}}+x+{\frac {515012}{1785}}$
45. $\ {-{\frac {2}{7}}}+{\frac {7}{16}}x{-{\frac {4}{3}}}+{\frac {12}{11}}x{-{\frac {8}{11}}}x{-{\frac {5}{18}}}={-{\frac {2}{3}}}x{-{\frac {9}{14}}}x+{11}+{6}x{-4}{-{\frac {155789}{1584}}}$
46. $\ {-{\frac {1}{6}}}x{-{\frac {2}{13}}}+{\frac {8}{13}}+{\frac {3}{7}}{-{\frac {3}{7}}}{-{\frac {9}{7}}}x={15}x{-{\frac {5}{2}}}{-{\frac {1}{15}}}x{-{\frac {13}{4}}}+{\frac {7}{8}}x+{\frac {32545}{182}}$
47. $\ {-{\frac {1}{12}}}x{-{\frac {1}{5}}}+{\frac {15}{17}}{-{\frac {5}{11}}}x{-{\frac {8}{3}}}={\frac {10}{11}}x{-{\frac {11}{4}}}+{\frac {16}{15}}{-{\frac {3}{7}}}+{\frac {10}{17}}+{\frac {9}{4}}{-{\frac {942243}{26180}}}$
48. $\ {2}x+{\frac {9}{7}}{-{\frac {2}{5}}}+{\frac {13}{16}}x{-{\frac {7}{3}}}+{\frac {3}{2}}x-x={-{\frac {18}{13}}}+{\frac {16}{3}}x{-2}x{-{\frac {13}{3}}}x+{\frac {94099}{1365}}$
49. $\ {\frac {1}{5}}+{\frac {3}{4}}x{-{\frac {8}{9}}}x+{\frac {12}{13}}x+{\frac {13}{10}}+{\frac {1}{2}}x={-{\frac {12}{13}}}+{\frac {3}{8}}x{-{\frac {8}{7}}}+{\frac {9}{7}}{-{\frac {6}{13}}}x+{\frac {106261}{3276}}$
50. $\ {-{\frac {6}{17}}}x{-{\frac {9}{7}}}+{\frac {1}{7}}{-{\frac {13}{4}}}={-{\frac {14}{9}}}x+{\frac {1}{5}}+{\frac {9}{8}}x+{2}{-{\frac {12}{13}}}+{\frac {1}{6}}x+{\frac {5}{11}}x{-{\frac {51384479}{6126120}}}$
51. $\ {-{\frac {2}{7}}}+{\frac {7}{18}}x{-{\frac {3}{13}}}+{\frac {8}{7}}+{\frac {6}{5}}x+{8}x{-{\frac {13}{10}}}x{-{\frac {2}{17}}}x={-{\frac {2}{3}}}x{-{\frac {4}{9}}}{-{\frac {1}{11}}}+{\frac {6820091}{45045}}$
52. $\ {-{\frac {3}{2}}}{-9}{-{\frac {10}{11}}}{-{\frac {1}{6}}}x{-{\frac {3}{5}}}x{-{\frac {18}{17}}}x=x-x+{\frac {9}{16}}+{\frac {1}{6}}+{\frac {1}{8}}x{-{\frac {415023}{14960}}}$
53. $\ {\frac {5}{6}}x+x{-1}{-{\frac {7}{3}}}x+{\frac {6}{5}}+{1}{-12}x={\frac {12}{13}}x{-{\frac {1}{3}}}x{-{\frac {17}{8}}}{-2}x+{\frac {70929}{520}}$
54. $\ {-{\frac {2}{3}}}+{\frac {1}{3}}x{-{\frac {7}{15}}}x+{\frac {3}{16}}{-{\frac {10}{3}}}{-{\frac {7}{13}}}={\frac {4}{9}}x+{\frac {9}{8}}{-{\frac {1}{4}}}x{-{\frac {7}{9}}}{-{\frac {1}{3}}}{-{\frac {971}{9360}}}$
55. $\ {-3}x+{\frac {17}{14}}x+{6}+{\frac {1}{10}}x{-{\frac {7}{2}}}x+{\frac {7}{5}}x+{\frac {16}{17}}={1}{-{\frac {5}{3}}}{-15}x+{\frac {1}{13}}{-{\frac {277322}{4641}}}$
56. $\ {-{\frac {1}{5}}}x{-{\frac {4}{9}}}x+{\frac {9}{5}}+{\frac {9}{13}}x{-{\frac {7}{13}}}+{\frac {1}{2}}x{-3}x={\frac {12}{13}}x{-{\frac {5}{6}}}x+{3}{-{\frac {11}{16}}}+{\frac {46491}{1040}}$
57. $\ {\frac {1}{2}}+{\frac {5}{6}}x{-{\frac {4}{3}}}x+{1}{-{\frac {1}{6}}}x{-{\frac {1}{15}}}x={\frac {7}{9}}x{-{\frac {3}{11}}}+{2}{-{\frac {4}{15}}}x{-5}x+{\frac {3693}{110}}$
58. $\ {-{\frac {10}{17}}}+{\frac {9}{4}}x+{\frac {7}{15}}x+x+{9}+{\frac {13}{15}}={-{\frac {13}{17}}}x{-{\frac {11}{17}}}{-1}+x{-{\frac {7}{17}}}{-{\frac {48803}{1020}}}$
59. $\ {-{\frac {1}{2}}}x+{\frac {6}{5}}x{-{\frac {3}{8}}}+{\frac {9}{8}}x+{\frac {5}{16}}{-{\frac {3}{2}}}x{-{\frac {1}{7}}}x{-{\frac {7}{13}}}={-{\frac {5}{6}}}x{-{\frac {1}{2}}}x{-{\frac {8}{7}}}+{\frac {105713}{3120}}$
60. $\ -x+{\frac {7}{9}}x{-{\frac {1}{9}}}{-17}+{\frac {17}{6}}x+{\frac {2}{9}}x={\frac {1}{5}}{-{\frac {1}{4}}}+{\frac {11}{13}}x+{\frac {3}{13}}x{-{\frac {11}{8}}}+{\frac {2573}{360}}$
61. $\ {-4}{-{\frac {5}{11}}}x{-{\frac {15}{8}}}{-{\frac {1}{5}}}x+{\frac {12}{11}}{-{\frac {1}{5}}}x+{\frac {8}{15}}{-{\frac {1}{3}}}={-6}x{-{\frac {7}{6}}}+{\frac {5}{6}}x{-{\frac {8649}{88}}}$
62. $\ {-{\frac {7}{3}}}x+{\frac {1}{3}}{-{\frac {12}{13}}}{-{\frac {5}{4}}}+{6}x+{\frac {7}{6}}{-{\frac {14}{15}}}x={-{\frac {1}{15}}}x-x+{\frac {11}{10}}x{-{\frac {18}{11}}}x+{\frac {84889}{2860}}$
63. $\ {\frac {5}{3}}+{\frac {4}{5}}x+x{-{\frac {14}{9}}}x{-{\frac {12}{11}}}{-4}x={\frac {10}{11}}x{-{\frac {3}{5}}}+{\frac {1}{15}}x{-{\frac {1}{17}}}x+{\frac {11}{7}}+{\frac {765991}{11781}}$
64. $\ {\frac {3}{2}}+{\frac {7}{16}}x{-{\frac {7}{3}}}x{-{\frac {7}{8}}}+{2}x+{\frac {6}{7}}{-{\frac {4}{13}}}{-{\frac {3}{4}}}x={2}+{6}x{-{\frac {1}{9}}}x+{\frac {588599}{13104}}$
65. $\ {-{\frac {6}{7}}}x{-{\frac {5}{18}}}{-{\frac {3}{5}}}x+{\frac {4}{3}}x+{\frac {2}{9}}x={\frac {3}{4}}{-{\frac {7}{4}}}{-2}x{-{\frac {5}{4}}}x+{2}x{-{\frac {9}{5}}}x+{\frac {48059}{630}}$
66. $\ {\frac {17}{12}}x{-{\frac {2}{11}}}x+{\frac {2}{3}}{-{\frac {5}{6}}}+{\frac {2}{7}}+{\frac {1}{7}}={\frac {4}{9}}+{\frac {3}{2}}{-{\frac {3}{4}}}{-{\frac {1}{7}}}x{-{\frac {11}{13}}}x+{\frac {23267}{18018}}$
67. $\ {-{\frac {9}{17}}}x{-{\frac {2}{3}}}x+{\frac {7}{6}}+{3}x{-{\frac {3}{11}}}+{\frac {1}{3}}={-15}+{\frac {5}{11}}{-{\frac {1}{15}}}+{\frac {2}{5}}x+{9}x{-{\frac {252053}{5610}}}$
68. $\ {\frac {2}{5}}+{\frac {2}{13}}+{\frac {1}{6}}x{-16}{-{\frac {13}{18}}}x{-{\frac {1}{3}}}x{-{\frac {8}{5}}}{-16}={\frac {7}{12}}{-17}x{-{\frac {11}{8}}}{-{\frac {151}{4680}}}$
69. $\ {\frac {2}{7}}x+{\frac {5}{4}}+x+{\frac {2}{3}}+{3}={\frac {9}{4}}-x{-{\frac {8}{7}}}x+{\frac {12}{17}}+{\frac {17}{14}}x+{\frac {9}{7}}x{-{\frac {1915}{714}}}$
70. $\ {-{\frac {8}{3}}}x+{2}x+{2}+{\frac {17}{10}}x{-{\frac {1}{6}}}x={-{\frac {1}{3}}}x{-{\frac {14}{5}}}x{-{\frac {5}{9}}}+{\frac {3}{7}}x{-{\frac {4}{3}}}+{1}+{\frac {4682}{63}}$
71. $\ {\frac {12}{7}}x+{8}x{-{\frac {9}{7}}}x-x{-{\frac {5}{8}}}{-{\frac {7}{10}}}x+{\frac {2}{7}}x+{1}={\frac {7}{6}}+{\frac {7}{9}}{-{\frac {14}{11}}}x{-{\frac {2110949}{27720}}}$
72. $\ {-{\frac {11}{15}}}x+x+{\frac {2}{13}}x{-{\frac {1}{8}}}x={-{\frac {1}{3}}}+x{-{\frac {11}{3}}}x+{\frac {11}{13}}+{\frac {2}{7}}{-{\frac {7}{15}}}+x{-{\frac {4527}{728}}}$
73. $\ {-{\frac {2}{11}}}{-18}x+{2}x+{\frac {5}{8}}{-{\frac {8}{15}}}x+{\frac {4}{3}}=x{-{\frac {7}{2}}}x+{\frac {9}{2}}x{-{\frac {1}{9}}}+{\frac {11}{10}}+{\frac {1030607}{3960}}$
74. $\ {-{\frac {1}{5}}}x{-{\frac {8}{9}}}x{-{\frac {18}{11}}}x+{\frac {9}{2}}x+{\frac {7}{11}}x+{\frac {11}{17}}+{\frac {7}{13}}x+{\frac {17}{7}}x={-4}{-{\frac {1}{2}}}{-{\frac {11}{10}}}x+{\frac {1859029}{10710}}$
75. $\ {-{\frac {17}{11}}}x{-{\frac {1}{6}}}x{-{\frac {9}{2}}}x{-{\frac {7}{8}}}x{-{\frac {1}{6}}}x{-{\frac {5}{9}}}x={-{\frac {17}{2}}}{-2}-x{-{\frac {1}{5}}}{-{\frac {2}{9}}}{-{\frac {59269}{1980}}}$
76. $\ {\frac {4}{13}}x+{\frac {4}{17}}{-{\frac {11}{6}}}x{-{\frac {16}{7}}}{-11}x+{16}x{-{\frac {11}{10}}}x{-{\frac {2}{7}}}={\frac {9}{8}}x+{\frac {14}{9}}{-{\frac {15}{7}}}+{\frac {6679763}{556920}}$
77. $\ {-3}x{-{\frac {1}{2}}}x+{2}{-2}+{\frac {7}{11}}{-{\frac {5}{3}}}{-{\frac {6}{17}}}x{-{\frac {10}{13}}}x{-{\frac {5}{7}}}x{-{\frac {3}{8}}}x={-{\frac {13}{8}}}x{-{\frac {9389573}{204204}}}$
78. $\ {\frac {18}{7}}x+{\frac {11}{16}}{-{\frac {9}{2}}}{-{\frac {7}{6}}}x{-{\frac {5}{14}}}x{-{\frac {5}{8}}}+{\frac {11}{2}}x={1}+{\frac {3}{8}}{-{\frac {16}{5}}}{-{\frac {1}{3}}}+{\frac {172171}{1680}}$
79. $\ {-{\frac {6}{5}}}+{\frac {2}{7}}x{-{\frac {1}{5}}}{-{\frac {2}{5}}}={-{\frac {11}{13}}}x+{\frac {5}{18}}x+{\frac {13}{6}}+{\frac {13}{9}}{-4}{-1}+{\frac {13}{9}}x+{\frac {83663}{8190}}$
80. $\ {-{\frac {11}{3}}}+{\frac {11}{10}}x+{\frac {1}{3}}x+{\frac {11}{8}}+{9}x{-{\frac {7}{2}}}+{\frac {17}{5}}{-{\frac {4}{9}}}={\frac {7}{5}}x{-{\frac {13}{14}}}+{12}{-{\frac {38879}{504}}}$
81. $\ {\frac {7}{6}}x+{\frac {13}{6}}x+{\frac {13}{10}}x{-{\frac {7}{12}}}x{-11}x={-1}{-{\frac {17}{18}}}+{3}x+{6}x{-{\frac {7}{2}}}+{\frac {13}{5}}x{-{\frac {42917}{90}}}$
82. $\ {\frac {3}{5}}x{-{\frac {14}{17}}}x+{\frac {1}{3}}x{-11}{-{\frac {3}{13}}}{-{\frac {5}{8}}}x{-{\frac {12}{5}}}x+x={\frac {18}{17}}x{-{\frac {7}{6}}}x{-16}x+{\frac {778961}{8840}}$
83. $\ {-{\frac {3}{2}}}x{-{\frac {6}{5}}}+{\frac {5}{9}}{-{\frac {15}{2}}}x+{\frac {1}{4}}+{\frac {11}{12}}={-{\frac {1}{7}}}x{-{\frac {18}{11}}}x{-{\frac {17}{10}}}{-{\frac {18}{13}}}x+{\frac {1}{2}}x{-{\frac {1672435}{18018}}}$
84. $-{\frac {15}{17}}x-{\frac {5}{8}}-{\frac {1}{16}}x+{\frac {3}{16}}-{\frac {8}{3}}x=-{\frac {1}{15}}x-{\frac {5}{6}}x-{\frac {11}{4}}+x+{\frac {3}{2}}x-{\frac {10}{11}}+{\frac {60883}{748}}$
85. $\ {-{\frac {5}{16}}}{-{\frac {16}{15}}}{-{\frac {5}{8}}}x+{\frac {5}{3}}x={\frac {1}{4}}{-{\frac {7}{17}}}x{-{\frac {5}{8}}}x+{\frac {5}{6}}x+{\frac {14}{5}}+{\frac {7}{5}}x{-{\frac {3}{8}}}{-{\frac {24757}{4080}}}$
86. $\ {\frac {5}{3}}{-{\frac {16}{13}}}{-{\frac {6}{13}}}{-{\frac {5}{2}}}=x{-{\frac {2}{5}}}x{-{\frac {1}{6}}}+{\frac {5}{18}}x{-{\frac {2}{7}}}{-2}x+{\frac {5}{8}}x{-{\frac {41068}{4095}}}$
87. $\ {-{\frac {5}{8}}}{-{\frac {8}{17}}}{-{\frac {5}{2}}}+{\frac {1}{2}}{-{\frac {2}{3}}}x{-{\frac {1}{7}}}{-{\frac {9}{5}}}={-{\frac {5}{2}}}x+{\frac {8}{15}}{-7}x{-{\frac {5}{8}}}x+{\frac {56801}{714}}$
88. $\ {-{\frac {17}{3}}}+{\frac {13}{2}}x+{\frac {3}{5}}{-{\frac {5}{8}}}+{8}x={-{\frac {14}{9}}}x{-2}{-{\frac {11}{17}}}x+{\frac {13}{5}}x+{\frac {3}{4}}{-{\frac {3}{5}}}+{\frac {26157}{680}}$
89. $\ {\frac {5}{2}}x{-{\frac {16}{9}}}x+{\frac {6}{5}}+{\frac {7}{3}}x{-{\frac {9}{13}}}x{-{\frac {9}{11}}}={-{\frac {13}{14}}}x+x-x{-{\frac {6}{11}}}+{3}x{-{\frac {23956}{45045}}}$
90. $\ {-{\frac {1}{2}}}x+{\frac {1}{6}}x{-{\frac {5}{2}}}+{\frac {1}{3}}{-{\frac {1}{11}}}+{\frac {11}{16}}{-{\frac {5}{16}}}x={\frac {3}{7}}{-{\frac {5}{3}}}+{\frac {8}{9}}x{-{\frac {2}{9}}}{-{\frac {137353}{11088}}}$
91. $\ {\frac {9}{2}}x{-{\frac {9}{8}}}x+{\frac {3}{7}}+{1}+{\frac {5}{7}}+x={-{\frac {14}{3}}}x{-2}x{-{\frac {14}{13}}}x{-{\frac {14}{3}}}x+{\frac {1}{3}}+{\frac {331907}{1092}}$
92. $\ {\frac {12}{13}}x{-2}x{-{\frac {2}{5}}}-x{-{\frac {7}{9}}}+{\frac {4}{7}}x+{\frac {3}{2}}={\frac {3}{2}}+{\frac {16}{5}}{-6}x+{\frac {16}{9}}x{-{\frac {197}{45}}}$
93. $x-{\frac {2}{5}}x-4+{\frac {2}{17}}-{\frac {1}{4}}+x-{\frac {3}{2}}-5={\frac {1}{5}}-{\frac {5}{6}}-8+{\frac {30601}{1020}}$
94. $\ {-{\frac {15}{16}}}x+{3}{-{\frac {17}{15}}}+{\frac {7}{5}}{-{\frac {7}{3}}}x={7}{-{\frac {7}{15}}}x+{\frac {1}{4}}x{-{\frac {3}{8}}}x+{\frac {2}{7}}{-{\frac {11}{2}}}+{\frac {23749}{840}}$
95. $\ {\frac {12}{5}}+{\frac {1}{12}}x+{\frac {1}{6}}x{-{\frac {5}{9}}}x{-{\frac {5}{14}}}x+{\frac {18}{5}}x+{\frac {3}{11}}x+{6}={\frac {8}{15}}x{-{\frac {1}{3}}}{-{\frac {17}{4}}}{-{\frac {373763}{6930}}}$
96. $\ {-{\frac {13}{8}}}x+{4}+{\frac {4}{5}}{-{\frac {10}{7}}}x{-{\frac {8}{11}}}x{-7}x{-{\frac {11}{8}}}={\frac {18}{5}}+{\frac {10}{3}}x{-{\frac {16}{11}}}+{\frac {1}{12}}+{\frac {271883}{9240}}$
97. $\ -x+{\frac {17}{14}}x+{11}+{\frac {4}{13}}+{\frac {5}{7}}{-{\frac {15}{4}}}={\frac {3}{8}}x+{\frac {7}{8}}{-{\frac {11}{5}}}+{6}{-{\frac {15}{4}}}+{\frac {25573}{3640}}$
98. $\ {\frac {8}{7}}{-{\frac {15}{2}}}x+{\frac {5}{3}}x{-{\frac {15}{11}}}x+{4}x+{\frac {13}{3}}x{-2}+{\frac {16}{15}}x{-{\frac {11}{5}}}x{-{\frac {8}{3}}}x={-{\frac {18}{17}}}x+{\frac {9787}{13090}}$
99. $\ {\frac {3}{8}}{-{\frac {7}{10}}}x+{3}x{-{\frac {13}{17}}}x+{\frac {2}{15}}x+{8}+{\frac {11}{18}}{-{\frac {4}{3}}}{-{\frac {7}{15}}}={-{\frac {14}{13}}}x{-{\frac {11}{9}}}x{-{\frac {335551}{26520}}}$
100. $\ {\frac {8}{11}}x+{3}+{\frac {8}{9}}+{2}+{\frac {1}{11}}x=-{\frac {5}{2}}x-{\frac {17}{14}}x+{\frac {7}{11}}x+x-8+{\frac {3}{11}}+{\frac {128}{63}}$

תשובות סופיות

1. $-24$
2. $-20$
3. $15$
4. $-1$
5. $22$
6. $-12$
7. $18$
8. $-17$
9. $-25$
10. $25$
11. $23$
12. $-19$
13. $-11$
14. $-11$
15. $22$
16. $10$
17. $-2$
18. $17$
19. $-25$
20. $-14$
21. $20$
22. $15$
23. $-16$
24. $16$
25. $1$
26. $11$
27. $24$
28. $-7$
29. $-25$
30. $3$
31. $8$
32. $1$
33. $-4$
34. $21$
35. $-22$
36. $-24$
37. $2$
38. $-21$
39. $23$
40. $-12$
41. $18$
42. $3$
43. $5$
44. $-24$
45. $23$
46. $-10$
47. $23$
48. $16$
49. $22$
50. $5$
51. $17$
52. $8$
53. $-12$
54. $-13$
55. $-6$
56. $-18$
57. $9$
58. $-17$
59. $22$
60. $13$
61. $-22$
62. $7$
63. $-14$
64. $-7$
65. $24$
66. $1$
67. $8$
68. $2$
69. $-5$
70. $20$
71. $-9$
72. $-3$
73. $-14$
74. $26$
75. $6$
76. $11$
77. $11$
78. $16$
79. $-18$
80. $-7$
81. $26$
82. $7$
83. $15$
84. $-15$
85. $13$
86. $-16$
87. $9$
88. $3$
89. $-5$
90. $8$
91. $18$
92. $0$
93. $20$
94. $-10$
95. $-25$
96. $-2$
97. $2$
98. $-1$
99. $-5$
100. $-4$