Sindbad~EG File Manager

/*  6.17.13,  problems read from rootalg2.mhw */
char *problems81[] = {
"1. sqrt(16x^2)",
"2. sqrt(x+1)^2",
"3. sqrt(x^2-4x+4)",
"4. sqrt(4x^2+28x+49)",
"5. ( sqrt x)( sqrt x)",
"6. sqrt(9x^2-12x+4)",
"7. root(5, -32x^5)",
"8. (3 sqrt x)(7 sqrt x)",
"9. (2 root(3, x^2))(3 root(3, x))",
"10. root(10, (-5x)^(10))",
"11. root(5, -(1/32))",
"12. (3 + sqrt x)(sqrt x -3)",
"13. (sqrt x + 6)(sqrt x + 2)",
"14. root(4, (16x^4 y^2))",
"15. -root(3, -64x^3)",
"16. root(4, 81x^(12))",
"17. root(3, -216x^3)",
"18. (4 sqrt x - 2)(3 sqrt x + 2)",
"19. sqrt(25x^2-20x+4)",
"20. (sqrt x - 2)(sqrt x + 2)",
"21. root(3, x^3) - 2 root(3, x^4) + 3 root(3 ,x^5)",
"22. 2 root(3, x) (3 root(3, x^5) - 4 root(3 ,x^2))",
"23. sqrt(288x^5)",
"24. sqrt(75x^3)",
"25. sqrt(64y^2)",
"26. sqrt(40xy^2)",
"27. sqrt(36x^6y^6)",
"28. sqrt(14x^4y^16)",
"29. (1/3) sqrt(125x^4y^2)",
"30. sqrt(6/(4x^2))",
"31. sqrt(5x)/sqrt(8y^5)",
"32. sqrt(5y)/sqrt(8x^3)",
"33. sqrt(6a^2b)/sqrt(a^3b^3)",
"34. root(3, 20x^4)",
"35. root(3, 81x^3)",
"36. root(3, 24x^5y^7)",
"37. sqrt(27x+18y)",
"38. sqrt(10x) + 3 sqrt(5x) - 5 sqrt(20x)",
"39. 4 sqrt(ab) - 9 sqrt(36ab) + 6 sqrt(49ab)",
"40. (sqrt 2x)(3 sqrt y - 7 sqrt x)",
"41. (sqrt xy)(5 sqrt xy - 5 sqrt x)",
"42. 4(sqrt x^3)(2 sqrt xy - sqrt x)",
"43. (sqrt 5y)(sqrt 8x + sqrt(12y^2))",
"44. (sqrt 2x)(sqrt 10xy + sqrt 6y)",
"45. (3 sqrt x - 5 sqrt y)(3 sqrt x + 5 sqrt y)",
"46. ( sqrt x - 2)(sqrt x+ 5)(3 sqrt x +4)",
"47. (4 sqrt x- 5)(2(sqrt y) sqrt x +3(sqrt y) -7)",
"48. (sqrt (xy))^3 sqrt y sqrt x (sqrt(x^2 y))^2",
"49. 10(x- sqrt y)^2 (x- sqrt 5)^2 (20 sqrt x -1)",
"50. sqrt(2x^2 sqrt y) sqrt(8x^4 (sqrt y)^3)",
"51. (x + 1/2 + sqrt(5)/2) (x + 1/2 - sqrt(5)/2)",
""};

/*  6.17.13,  problems read from absval2.mhw */
char *problems82[] = {
"1. abs x < 5",
"2. abs x <= 15",
"3. abs x > 7",
"4. abs x >= 3",
"5. abs (x-2) < 8",
"6. abs(x+6) > 6",
"7. abs(x-5) >= 4",
"8. abs(x-10)=19",
"9. abs(x-3) > 13",
"10. abs(4x-4) = 16",
"11. abs(3x-6) = 18",
"12. abs(4x-2) >= 12",
"13. abs(5x+3) = 20",
"14. abs(2-2x) < 20",
"15. abs(5x+16) <= 8",
"16. abs(7x-6) >= 1",
"17. abs(x-1/5) = 3/4",
"18. abs((2x+1)/2) > 5",
"19. abs(x-7) - 3 >= 12",
"20. abs(1-2x) - 1 <= 6",
"21. abs(2(3-4x)-1)=4",
"22. abs(x)=x",
"23. abs(x)=-x",
"24. abs(x-3)= x+2",
"25. abs(2-7x)=abs(-2)",
"26. abs(2x+1)=x+4",
"27. abs(2-x)= 4-x",
"28. abs(x/3)=abs(x+2)",
"29. abs(2-3x)= abs(1-2x)",
"30. abs(x-3)=abs(x+1)",
"31. abs(2x-3)=abs(x-5)",
"32. abs(x-1)+abs(x+1)=2",
"33. (abs(x))^2 -2 abs(x) +1=0",
"34. abs(3x-2)<=0",
"35. abs(x) <-5",
"36. abs(1/x)>=2",
"37. abs((6+7x)/4)<26",
"38. abs((3-5x)/2)<=1/2",
"39. 1/abs(x-1) <2",
"40. abs(x) >x",
"41. abs(x) <x",
"42. abs(3x-5) <x",
"43. abs(3x-5)>= x",
"44. abs(x+3) <= 2x-1",
"45. 3x +2 >= abs(5-4x)",
"46. 7x + abs(5x+4) >5",
"47. abs(x/(x+1)) >1",
"48. abs(x^2 -1) <=3",
"49. abs(x-1) > abs(x-5)",
"50. abs(x-3) + abs(x) <=4",
"51. (abs(x))^2 - 2abs(x) +1 <=9",
""};

/*  6.17.13,  problems read from fractexp.mhw */
char *problems83[] = {
"1. root (3, -64)",
"2. sqrt (75) / sqrt 3",
"3. root (3, -3)",
"4. sqrt (10)/ (sqrt 8 sqrt 5)",
"5. 3 sqrt (10) - 4 sqrt (90)+5 root (3, 50)",
"6. sqrt 8 sqrt (96)",
"7. (2 sqrt 5 - 4)(3 sqrt 5+4)",
"8. 4 / (sqrt 6 - 2)",
"9. sqrt (root (3,2)) root (3, sqrt 2)",
"10. sqrt 5y",
"11. root(5, x^2y^4)",
"12. 5x sqrt y",
"13. sqrt (x sqrt x)",
"14. (20 x) / sqrt (5 x^3)",
"15. sqrt (12 x - y)",
"16. sqrt x root (3, x) root (4, x)",
"17. x^2 / (2 sqrt x)",
"18. root (8, (x+y)^4)",
"19. (x+y) sqrt (x+y)",
"20. root (3, sqrt (27x^5))",
"21. sqrt (3x^3) root (3, 81 x^5)",
"22. (3 sqrt (3y^3))^2",
"23. sqrt (1 / (3 x^3y))",
"24. root (6, (2 x^(-3) y^4)^6)",
"25. root (4, (x+1)^12 y^7)",
"26. root (7, x^4y^8)",
"27. root (3, -54 x^7y^3)",
"28. (sqrt (3xy^2))^2",
"29. sqrt ((16 x^6) / (9y^4))",
"30. root (5, (160 x^9 y^12) / (5 xy^2))",
"31. root (3, x^3 y^2 z)",
"32. root (8, 3^6 (x+y)^6)",
"33. root (4, (243 x^6 y^(-13) z^15) / (3 x^2 y^(-9) z^7))",
"34. (8 x^3y^5) / root (3, 4 x^2y)",
"35. ( sqrt (3 x^2 y^5))^3",
"36. root (4, 4 x^5 y) sqrt (4 x^3 y^4)",
"37. root (3, 5 x^2 y) sqrt (5 x^6 y^3)",
"38. root (3, x^4 / (24 y^6))",
"39. sqrt ((x+y)^3) (x+y)^5",
"40. sqrt (5 x^3 y) sqrt (10 y)",
"41. root (3, 9 xy) / root (3, 3 / x^2)",
"42. root (3, 3 x^4 y^2) root (3, -9 x^(-1) y^(-4))",
"43. (sqrt x) / sqrt (2 x^2 - x)",
"44. sqrt (2 (x+y)^3) sqrt (4 (x+1))",
"45. sqrt ( root (4, x^8 y^5))",
"46. (sqrt (2x) sqrt 6) / sqrt (24 x^3)",
"47. root (6, x^4 (y - x)^2)",
"48. root (3, x^2) ( sqrt (x^3) + 1 / root (3, x))",
"49. 1 / (root (3, a) - root (3, b))",
"50. sqrt (72 x^3) / (3y) - (x sqrt (10 x)) / (2 y)",
"51. x^2 / (sqrt (x^2+9) - 2)",
"52. sqrt (x/2) + sqrt (2/x)",
"53. (2 sqrt x) / (x - 2 sqrt x)",
"54. root (4, 16 x^3) - root (4, 8y)",
"55. (sqrt x + 1/ sqrt x)^2",
"56. root (4, x/y) - root (4, xy^3)",
"57. sqrt (x^2y^3) - root (3, xy^4)",
"58. sqrt (x^3 y / 2) + 1/2 sqrt (32 x y^7)",
"59. 2 x root (4, 16 y^12 x) + x^2 y root (4, y^4 x)",
"60. sqrt (xy^2)+sqrt (yx^2) - 8",
"61. root (3, x/y) + root (3, y/x)",
"62. root (3, 32 / x^2) - (2 root (3, x)) / root (3, 2 x^3)",
"63. (sqrt (2 / (x+h)) - sqrt (2/x)) / h",
"64. 3x sqrt (x^2+4) + (5x) / sqrt (x^2+4)",
"65. (sqrt (x - 6))^2 - (sqrt x - 6)^2",
"66. sqrt (x sqrt( x sqrt ( x sqrt x)))",
""};

/*  6.17.13,  problems read from elimfrex.mhw */
char *problems84[] = {
"1. 16^(1/2)",
"2. 27^(1/3)",
"3. 32^(1/5)",
"4. -64^(1/2)",
"5. -27^(1/3)",
"6. 45^(-1/2)",
"7. (8/27)^(-1/3)",
"8. 16^(3/2)",
"9. 8^(2/3)",
"10. 125^(4/3)",
"11. 64^(7/2)",
"12. (-1)^(5/3)",
"13. (3/8)^(4/3)",
"14. (8/27)^(2/3)",
"15. (9/8)^(-2/3)",
"16. 64^(-3/6)",
"17. -16^(5/4)",
"18. 81^(7/4)",
"19. 4x^(1/2)",
"20. (4x)^(1/2)",
"21. (7xy)^(1/2)",
"22. (3a+b)^(3/5)",
"23. -x^(1/4)y^(3/4)",
"24. x^(5/7)y^(2/7)",
"25. 3x^(1/5)y^(4/5)",
"26. (2x^(1/5))(6x^(1/4))",
"27. (x^(1/4))(8x^(2/3))",
"28. y^(-1/3) y^(-1/4)",
"29. x^(3/4) x^(-1/2)",
"30. 5x^(-2/5) 4x^(-1/2)",
"31. (x^(1/3))(x^(-1/8))",
"32. (x^(1/2)y)^2",
"33. (3x^(1/3)2y^(1/5))^3",
"34. (8x^3y^9)^(1/3)",
"35. (16x^6y^4)^(1/2)",
"36. 9x^(3/5)/(3x^(1/3))",
"37. 18x^(1/4)/(9x^(1/2))",
"38. 8x^(1/3)/(12x^(3/4))",
"39. 5x^(5/6)/(10x^(1/4))",
"40. (6x^(3/5)/(y^(2/3)))^3",
"41. (x^(1/3)/(3y^(1/4)))^4",
"42. (x^2/y^5)^(-1/2)",
"43. (x^3/y^(-5))^(-1/3)",
"44. (6x^(1/3)/(18x^(1/4)))^5",
"45. (24x^(-3/4)/(6x^(1/2)))^2",
"46. (45x^(1/5)/(15x^(3/4)))^(-3)",
"47. (64x^(1/3)/(4x^(2/9)))^(-4)",
"48. ((2x^-(1/2))/x^(1/3))^(-6)",
"49. (x^(1/3)/x^-(1/4))^12",
"50. (4x^(4/5))/(12x^(1/4))",
""};

/*  6.17.13,  problems read from factquad.mhw */
char *problems85[] = {
"1. x^2+7x+6",
"2. a^2+5a-36",
"3. x^2-3x-54",
"4. x^2+3x-4",
"5. 6x^2+7x - 20",
"6. a^2+a - 20",
"7. 9x^2+30x+16",
"8. x^2+11x+18",
"9. 12n^2-43n-20",
"10. 9x^2+6x+1",
"11. 2x^2 - 7x - 15",
"12. 12x^2 - x - 6",
"13. 20y^2+31y-9",
"14. 6x^2+12x+6",
"15. 6x^2+48x+72",
"16. 21x^2+41x+10",
"17. 3x^3 - 3x^2 - 6x",
"18. 3m^3 - 6m^2+15m",
"19. 7n^2+31n +12",
"20. t^2+3t -180",
"21. 12x^2+10x - 12",
"22. 8x^2 - 9x+1",
"23. 3x^2 - 11x - 20",
"24. 10x^2 - 8x - 2",
"25. 7x^2 - 13x+6",
"26. 2x^2+3x - 20",
"27. 6x^2 - 5x - 6",
"28. 14x^2+37x+5",
"29. x^4 - 4x^2",
"30. 3x^4 + 7x^2 - 6",
"31. 2x^4+8x^2 - 42",
"32. x^4 - 10x^2+24",
"33. y^4 - 3y^2 - 4",
"34. x^4-17x^2 + 16",
"35. x^4+2x^2 - 35",
"36. x^4 - 2x^2+1",
"37. 2(x - 1)^2+3(x - 1)+1",
"38. 16x^2+8xy+y^2",
"39. x^3 - 4x^2 - 5x",
"40. x^3+x^2+2x",
"41. 45 x^2+38 xy+8y^2",
"42. y^6+7y^3 - 8",
"43. y^6 - 6y^3 - 16",
"44. x^8 - 17x^4+16",
"45. 25x^2 - 20 xy+4y^2",
"46. 63 x^2 - 46 xy+8y^2",
"47. 9x^2 + 15x - 14",
"48. 6x^2 - x - 35",
"49. 48 x^2 + 22 x - 5",
"50. x^4+2x^2y - 3y^2",
""};

/*  6.17.13,  problems read from quadform.mhw */
char *problems86[] = {
"1. x^2-4x-4=0",
"2. 3x^2 +5x+2=0",
"3. x^2+4x-3 = 0",
"4. 4x^2 -7x-2=0",
"5. 3x^2 -(sqrt 11) x +4=0",
"6. n^2+3n-2 = 0",
"7. x^2 +5x+4=0",
"8. 6x^2 +15x -9=0",
"9. 4x^2 = 16",
"10. a^2-6a= 8",
"11. x^2 -6x+1=0",
"12. x^2 +2=0",
"13. 2n^2 -3n + 5 = 0",
"14. 3x^2 -2x=-1",
"15. -2x^2+4x+1=0",
"16. 5x^2 -28x =12",
"17. 2a^2 -6a + 1 = 0",
"18. 4x =x^2 +1",
"19. x^2+19x+70 = 0",
"20. 6x^2 +7x -3=0",
"21. x^2=3(x-1)",
"22. -9x^2+12x-6=0",
"23. (x^2)/(x+100)=50",
"24. n^2-4n-192=0",
"25. 6x^2 -x=2",
"26. -y^2 + 7y = 14",
"27. x^2 -6x-3=0",
"28. -3n^2 - 11n + 4 = 0",
"29. 24x +9=-16x^2",
"30. (3/2)x^2 -4x -1=0",
"31. 2x^2 + 5x-2 = 0",
"32. x^2 -3x-10=0",
"33. 6x^2+11x-255=0",
"34. x^2 -6x +6=0",
"35. 3x^2 + 5x+10 = 0",
"36. -x^2 +6x -14=0",
"37. 3x^2 +7x +2 =0",
"38. 2t^2+6t-8 = 0",
"39. 5x^2 +2=2x",
"40. 7x^2 +6x+4=0",
"41. 2x^2 - 17x + 26 = 0",
"42. 2x^2 +1=4x",
"43. 7x^2 + 12x = 0",
"44. 5x^2 +8x+2=0",
"45. x^2 -2x+6=0",
"46. 9n^2 + 42n + 49 = 0",
"47. x^2 -6x+11=0",
"48. (x-2)(x+3)=(x-4)(x-5)",
"49. 6x^2 - 4x = 3",
"50. 2+3/x^2 =1/x",
"51. x^2 +(sqrt 2)x- sqrt 3=0",
"52. 6x^2 +5x=21",
"53. x-1/x=17",
"54. x^2 -3x +5 =0",
""};

/*  6.17.13,  problems read from quadeqn.mhw */
char *problems87[] = {
"1. 5x(3x-2)=0",
"2. (3x-1)^2-16 = 0",
"3. (x - 2)^2 = 9",
"4. x^2 - 6x = 0",
"5. 7 x^2 = 4x",
"6. x^2 - 3 = 0",
"7. (3x+1)^2 = 1",
"8. (2x+7)^2 = 36",
"9. 25 x^2  = 9",
"10. 8x^2+3x = 0",
"11. 2x (x+6) = 14x",
"12. 9 (x - 1)^2 = 7",
"13. 4 x^2 - 25 = 0",
"14. x^2+7x+10 = 0",
"15. x^2 - 2x - 8 = 0",
"16. n^2+20n+91 = 0",
"17. 6x^2+x - 12  = 0",
"18. x^2+4x-12=0",
"19. 5x^2 - 11x+2 = 0",
"20. n(n-24) = -128",
"21. x^2 - 4x - 4 = 0",
"22. 6x^2+25x+14 = 0",
"23. x^2 - 2x - 3 = 0",
"24. 3t(t-4) = 6",
"25. x^2+7x+12 = 0",
"26. a(a-1)=2",
"27. 2 (x^2 - 1) = 3x",
"28. (x-5)(x+3)= 9",
"29. x^2 - 3x - 18 = 0",
"30. n^2 + 7n - 44 = 0",
"31. x^2 - 2x - 15 = 0",
"32. 15x^2+34x+15 = 0",
"33. 3 (x^2+1) = 10x",
"34. 35n^2 -18n -8 = 0",
"35. 15 x^2+8x - 12 = 0",
"36. 9x^4-37x^2 + 4 = 0",
"37. 4 x^2 - 15x = -9",
"38. 2x^4+x^2-3=0",
"39. 4x^2 - 72x+324 = 0",
"40. (x+9)(x-6)= -24",
"41. x^2 - 5x+6 = 0",
"42. x^2 - 4x+4 = 0",
"43. 3x - 2(x^2-1) = 0",
"44. 12x^2+13x = 4",
"45. x^2 - 21 = 4x",
"46. x^2 + 2x + 1 = x^2 - 1",
"47. 2x^2+5x - 3 = 0",
"48. x^2 + 2x + 1 = 2x^2 - 2",
"49. 18x^2 - 23x = 6",
"50. (x+1) (x+2) = 30",
"51. x(3x+10) = 77",
"52. (x-3)^2 -x^2=5",
"53. x(x+2)=x(x+4) +12",
"54. x(x+4) -2=x^2-4(x+3)",
"55. (5x-7)(2x+1) -10x(x-4)=0",
"56. (3x-2)^2= (x-5)(9x+4)",
""};

/*  6.17.13,  problems read from advfact.mhw */
char *problems88[] = {
"1. a^2 - 4b^4",
"2. 8 - 27b^3",
"3. x^3 + 64y^6",
"4. x^5 - 32",
"5. a^8 - b^8",
"6. 5r^2 - 20s^2",
"7. x^9 + y^9",
"8. x^16 - 1",
"9. x^4 + 4",
"10. (a+b)^6 -a^6",
"11. m^2n^3 - 4m^4n",
"12. 16a^4 -625b^12",
"13. x^4 + x^2 + 1",
"14. x^4 + 3x^2 + 4",
"15. 2 x^4+8x^2 - 42",
"16. x^8 - 17 x^4+16",
"17. x^6 + 2x^3y^3 + y^6",
"18. x^6 - 2x^3y^3 + y^6",
"19. 6 (x - y)^2+23 (x - y) - 4",
"20. 8x^6+19 x^3 - 27",
"21. a^4 - 8ab^6",
"22. 4a^2 + 4ab + b^2",
"23. (a+b)^2 - 4(a+b) + 4",
"24. 2a^4 - 3a^2 - 20",
"25. a^4 -7a^2b^4 + b^8",
"26. a^4+2 a^2b^2 +b^4 - a^2b^2",
"27. 2 a m - 3 a n + 2 b m - 3 b n",
"28. x^4 + x^2y^2 + y^4",
"29. 4x^6y^2 + 32y^5",
"30. 2x + 4y + x^2 + 2xy",
"31. x^2 + xz + yz - y^2",
"32. 4 x^2y^2 - 4 xy^2 z+ z^2y^2",
"33. (2x-3y)^2 - (3x-2y)^2",
"34. (x+y)^3 - (x-y)^3",
"35. a^3b - 2a^2b^2+ab^3",
"36. a^2 -3ab + 2b^2",
"37. x^2 + xy - 2y^2",
"38. a^4 + 3a^2 b + 2b^2",
"39. 7 u^2+6u v - v^2",
"40. 4m^4 -17m^2n^2 + 4n^4",
"41. ax^2 -3bx^2 - 6by + 2ay",
"42. 2 ay^2 - a x y + 6 xy - 3 x^2",
"43. x^3 - 3x^2 -16",
"44. x^3 - x^2+2x-8",
"45. - x^3+15 x^2 - 75 x+125",
"46. x^3 + (1-a)x^2 + (4-a)x -4a", //the previous two are a=4 and a=2
"47. a^3b^3 -125c^3",
"48. 2a^2 + 2ab + ac^2 + bc^2",
"49. x^5+y^5 -x^2y^3 -x^3y^2",
"50. 50 x^2+45 xy - 18 y^2",
"51. 15x^2 - 16x -7",
"52. a^2 + 2ab + b^2 -2a -2b",
"53. 6 (x - y)^4 +23 (x - y)^2 - 4",
"54. r^2 - 4s^2 + (r + 2s)^2",
"55. x^2 + 2xy + y^2 - 3x - 3y + 2",
"56. x^8 - 5 x^7+2x - 10",
"57. 16 x^5y^2+8x^3y^3",
"58. (a+2b)^3 + (2a+b)^3",
"59. 15 x^3y^5 - 25 x^4y^2+10 x^6y^4",
"60. 2 - y^2+2x - xy^2",
"61. x^4+2x^2+1 - x^2",
""};

/*  6.17.13,  problems read from higheqn.mhw */
char *problems89[] = {
"1. x^4 - 6x^2 + 5 = 0",
"2. x^4 - 2x^2 - 3 = 0",
"3. 3x^4 + 8x^2 - 3 = 0",
"4. x^6 - 2x^3 - 3 = 0",
"5. x^4 - 81 = 0",
"6. sqrt x - root (4, x) - 6 = 0",
"7. (x / (x - 1))^4+(x / (x - 1))^2 - 20 = 0",
"8. (x / (x+1))^2+(x / (x+1)) - 20 = 0",
"9. t + sqrt t - 20 = 0",
"10. y^(2/3) - y^(1/3) - 2 = 0",
"11. sqrt (3x+1) +1 = x",
"12. x + 4 sqrt x - 5 = 0",
"13. 2y - 5 sqrt(y-1) - 5 = 0",
"14. 10 / sqrt (x+5) = sqrt (x+5) - 3",
"15. (x+1)^(1/2) - 3(x+1)^(1/4) - 10 = 0",
"16. sqrt (sqrt (x - 5)+x) = 5",
"17. x^2 + 2 sqrt(x^2-8) - 11 = 0",
"18. x / sqrt (x^2+16) - 1 = 0",
"19. 40 sqrt x - 3x^(3/2) - x^(5/2) = 0",
"20. (sqrt (2x+1) - 2)^2 - 4(sqrt (2x+1) - 2) = 5",
"21. 5 - 7(y-2)^(-1/3) + 2(y-2)^(-2/3) = 0",
"22. 2 x^(2/3) - x^(1/3) = 3",
"23. 8x^(-1/2) + 3x^(1/2) - 3x^(-3/2) = 0",
"24. (x+ sqrt 2)^2 - 3(x^2-2) + 2(x-sqrt 2)^2 = 0",
"25. 6y^2 + 12y - 17y sqrt(y+2) = 14y",
"26. x^(-4) - 10x^(-2)+25 = 0",
"27. 6x^(-2) - x^(-1) - 1 = 0",
"28. 13 - 6(x + x^(-1)) = 0",
"29. x^6 + 7x^3 - 8 = 0",
"30. x^6 = 10 x^4 - 9x^2",
"31. (x - 1)^3 = (x+1)^3 - 6x^2",
"32. 5(t/(t-1))^2 + 14t/(t-1) - 3 = 0",
"33. x /(1 - x) = ((1 - x) / x)^3",
"34. 2((x+1)/x)^2 + 9(x+1)/x = 35",
"35. x^4 + 6x^3 + 7x^2 - 6x -8 = 0", // yields to search for linear factor
"36. x^3 - 9x+4x^2 - 36 = 0",
"37. 3x^3 - 3x^2 - 6x = 0",
"38. (x^2 - 7x)^2 = 2 (x^2 - 7x)+48",
"39. 4 x^3 + 3 = 12 x^2 + x",
"40. x^9 - 256 x = 0",
"41. 3x^3 - 11 x^2 = 3x - 11",
"42. 2 x^3 - x^2 - 8x+4 = 0",
"43. x^3 + x^2 - 16x - 16 = 0",
"44. 6 / (x^2 - 2x - 3) + x / (x - 3) = 3",
"45. 1 / (x^2 - x - 2) - 3 / (x^2 - 2x - 3) = 1 / (x^2 - 5x+6)",
"46. 5 / (x - 3) = (33 - x) / (x^2 - 6x+9)",
"47. 11 / (x^2 - x+1) + 8 / (x+1) = 24 / (x^3+1)",
"48. 196/(x^2 - 7x+49) - (2x)/(x+7) = 2058 / (x^3+343)",
"49. (x+3)^3 - (x+1)^3 = 56",
"50. (x^2+x - 5) / x + (3x) / (x^2+x - 5) +4 = 0",
"51. 1 / (x^2+2) - 1 / (x^2+3) = 12",
"52. 4 / (x^2+4) +5 / (x^2+5) = 2",
"53. x^4 - 50 / (2x^4 - 7) = 14",
"54. 21 / (x^2 - 4x+10) - x^2+4x = 6",
"55. (x+2)^2 + 24 / (x^2+4x) = 18",
"56. 3(x+1/x^2) - 7(1+1/x) = 0",
"57. 4x^2 +12x + 12/x + 4/x^2 = 47",
"58. x^3 - 2x + 1",
"59. (x^2-a)(x^2+a) = 0       @Be careful not to wind up assuming that a is both nonpositive and nonnegative.",
//  60. x^4 - 4x^3 + 5x^2 - 2x -2 = 0 @ a product of two quadratic factors, which students cannot find.",
""};

/*  6.17.13,  problems read from fracteq2.mhw */
char *problems90[] = {
"1. (x+1)/4 + (x-2)/6 = 3/4",
"2. (x+2)/5 + (x-1)/6 = 3/5",
"3. 5/n + 1/3 = 7/n",
"4. 3/n + 1/6 = 11/(3n)",
"5. (x+1)/4 - (x-2)/6 = 1/4",
"6. (x-9)/3 = 3x/2 -11/6",
"7. (2x-5)/3 - x/4 =1/2",
"8. n + 1/n = 17/4",
"9. 1/n + 1/3 = 5/n",
"10. 2 - 5/(3x-7) = 2x",
"11. x + 1/x =(1-x)",
"12. 1 + 3x/(x-4) = 14/(x+7)",
"13. (x+4)/(2x-10)=8/7",
"14. 3-1/x +6/x^2 =0",
"15. 3/(2x-1) = 4/(3x-2)",
"16. a/(a+5) +1 = 2a/(a+5)",
"17. x/4 = 5/(12x-25)",
"18. n/(n+1) + 1/2 = -2/(n+2)",
"19. x/(4x-4) + 5/(x^2-1) = 1/8",
"20. (x-4)/(x-5)=1/(x-5)",
"21. 1/(x-1) +1/(x+2)=0",
"22. 1/(x-3)+2/(3-x)=1/2",
"23. x/(x+1)=(x+1)/x",
"24. 5/x - 5/6 = 1/(6x)",
"25. (x^2-1)/(3x) - 3x/(x^2-1) + 3/2 = 0",
"26. (x+4)/(x+1) = (x+2)/(x+3)",
"27. (x^2-x)/(x+2) = 11/30 - (x+2)/(x-x^2)",
"28. x/(x-1)-2/(x+1) = 4/3",
"29. (2x-3)/(3x+5)=(x+7)/(3x-4)",
"30. 3/(n-5) + 4/(n+7) = (2n+11)/(n^2 + 2n - 35)",
"31. 1/(x+4) + 3/(x-4)=(3x+8)/(x^2-16)",
"32. 1 - 1/(x+2)=2/(x+1)",
"33. 3/x +x/(x+4)=10/(x^2+4x)",
"34. (3x+1)/(6x-2)=(2x+5)/(4x-13)",
"35. 3 + 9/(n-3) = 27/(n^2-3n)",
"36. x/(x+3) - 7/(x-6) = 11/(x^2-3x-18)",
"37. 2/x -5/x=6",
"38. 3/(x^3-8)=1/(x-2)",
"39. 1/(3x-1)+1/(3x+1) =0",
"40. 5x/(x-2)-4x/(2x-7)=3",
"41. 2/(3x+2) - (x-1)/(9x^2-4) = 3/(12x-8)",
"42. 1/(2x^2-x-1) + 2/(2x^2+x) = 3/(x^2-1)",
"43. 2/(x-2)=4/(x-3)-1/(x+1)",
"44. 3/(x+1)=9/(x^2-3x-4)",
"45. 1/(x+1) +1/(x+2)=1/(x+3)",
"46. 2t/(2t^2+9t+10) + (1-3t)/(3t^2+4t-4) = 4/(6t^2+11t-10)",
"47. 11/(x^2-4) +(x+3)/(2-x)=(2x-3)/(x+2)",
"48. 3/(x^2-25)=5/(x-5)-5/(x+5)",
"49. (x+2)/(x+3) -(x^2)/(x^2-9)= 1-(x-1)/(3-x)",
"50. x/(x-2)=(x-3)/(x-4)",
"51. (x+4)/(x+1)=(x+2)/(x+3)",
"52. 1/(3x+1)=3x/(9x^2-1)",
"53. 3/(7x-2)=9/(3x+1)",
"54. (2+x)/(6x)-2=3/(5x)",
"55. 18/(x^2 +x-6) +(x-1)/(x^2 +5x+6) = 12/(x^2-4)",
"56. (-3)/(x+4) + x/(x-3)= 21/(x^2+x-12)",
"57. 2x/(x+2) + 15/(x^2+7x+10) = 3/(x+5)",
"58. (5y-4)/(6y^2 - y - 12) - 2/(2y-3) = 5/(3y+4)",
""};

/*  6.17.13,  problems read from rooteqn.mhw */
char *problems91[] = {
"1. sqrt 3x = 9",
"2. 3 sqrt n = 5",
"3. sqrt(2y-3) = 5",
"4. sqrt (4x+9) = 5",
"5. root (4, y^2 - 6y) = 2",
"6. root (3, x+1) = 4",
"7. 3 sqrt x = 2 sqrt 3",
"8. sqrt ((2x - 1)^2) = 2x - 1",
"9. 3 + sqrt (2x - 1) = 0",
"10. root (3, 5 - 11x) = 3",
"11. sqrt (x^2+1/2) = 1/sqrt 3",
"12. root (3, 3x+7) = 4",
"13. sqrt (x^2 - 36) = 8",
"14. 1 - sqrt (-x) = 1/2",
"15. 2 + sqrt (7x - 3) = 7",
"16. sqrt (x+5) = x - 1",
"17. sqrt(x^2+2x+1) = x+3",
"18. sqrt (x+5) = x+1",
"19. sqrt (x^2 - x+1) = x - 1",
"20. sqrt (8x^2 - 5x+7) = 3x - 1",
"21. root (5, (x - 4)(x - 8)) = 2",
"22. root (4, 2x^2 - 1) = x",
"23. sqrt (x+1) +1 =x",
"24. sqrt (5 sqrt x) = sqrt (2x - 3)",
"25. sqrt(7x-6) - sqrt(5x+2) = 0",
"26. sqrt (2 sqrt (x+1)) = sqrt (3x - 5)",
"27. sqrt (x+1) / sqrt (x+2) + sqrt (x+2) / sqrt (x+1) = 0",
"28. sqrt (x+3) = root (4, 2x+6)",
"29. root (4, x^2+x+6) = root (4, x^2+3x+2)",
"30. root (6, 2x+2) = root (3, 3x - 1)",
"31. x = x^(3/8)",
"32. x^(4/3) = -3x",
"33. x = 7 sqrt x+30",
"34. x - 10 sqrt x+9 = 0",
"35. x = 15 - 2 sqrt x",
"36. x - 11 sqrt x+18 = 0",
"37. root (3, x) + root (6, x) - 2 = 0",
"38. sqrt x - 1 / (2 sqrt x) = 0",
"39. root (3, x^2) + 2 root (3, x) - 6 = 0",
"40. 4x^(-1) - 9x^(-1/2)+2 = 0",
"41. (5x - 6)^(1/5) + x / (5x - 6)^(4/5) = 0",
"42. (1+sqrt x) / (1 - sqrt x) = 1 / (1+sqrt x)",
"43. x sqrt (4 - x) = sqrt (9x - 36)",
"44. root (3, x - 3) = root (3, 3x^2+2x - 5)",
"45. x / (2 sqrt (x+1)) + sqrt (x+1) = 0",
"46. sqrt (4x+1) + sqrt (x+7) = 6",
"47. sqrt(n-3) + sqrt(n+5) = 2 sqrt n",
"48. sqrt (3x+4) = 2+ sqrt x",
"49. sqrt (7x - 2) - sqrt (x+1) = sqrt 3",
"50. sqrt (20 - x) + sqrt (20+x) = 5",
"51. sqrt (2x - 5) = 1+ sqrt (x - 4)",
"52. sqrt (x - 1) + sqrt (x+4) = 5",
"53. root (3, (x^2+2x)^2) - root (3, x^2+2x) - 2 = 0",
"54. sqrt (4x+2) + sqrt (2x) - sqrt 2 = 0",
"55. sqrt x + sqrt (x+4) = sqrt (2x+4)",
"56. sqrt (2x+3) - sqrt (x - 2) = sqrt (x+1)",
"57. sqrt (5 - 2x) - sqrt (x+6) = sqrt (x+3)",
"58. 4 sqrt (1+3x) + sqrt (6x+3) = sqrt (-6x - 1)",
""};

/*  6.17.13,  problems read from rootfrac.mhw */
char *problems92[] = {
"1. 10 sqrt((x-9)/x) - 4 sqrt(x/(x-9)) = 3",
"2. x/sqrt(x-2) + 3 sqrt(x-2)/x = 4",
"3. sqrt(x+1)/sqrt(x+2) + sqrt(x+2)/ sqrt(x+1) =0",
"4. sqrt x - 1/(2 sqrt x) = 0",
"5. 4/x -9/sqrt x + 2 =0",
"6. x^(-3/2) -(1/9) x^(-1/2) =0",
"7. (3/2) x^(1/2) -(3/2) x^(-1/2) =0",
"8. (1/2) x^2 (x+5)^(-1/2) +2x (x+5)^(1/2) = 0",
"9. root(5, 5x-6) + x/ root(5, (5x-6)^4) =0",
"10. (1+ sqrt x)/(1- sqrt x) = 1/(1+ sqrt x)",
"11. x/(2 sqrt(x+1)) + sqrt(x+1)=0",
"12. sqrt(9-5x) = sqrt(3-x) + 6/ sqrt(3-x)",
"13. 3/sqrt x - 9 sqrt x = sqrt(6x-2)",
"14. sqrt x = 3/(6sqrt x + sqrt(4x-2))",
"15. sqrt((x+5)/(2x+1)) - sqrt(5x-3) =0",
"16. root(5, x^2) =3 + 4/root(5, x^2)",
"17. (2x+1)/x -2sqrt((2x+1)/x) =3",
"18. sqrt((20+x)/x) + sqrt((20-x)/x) = sqrt 6",
"19. (sqrt x)/sqrt(x+1) + sqrt((x+1)/x) = 5/2",
"20. 1/(1-sqrt(1-x)) + 1/(1+sqrt(1-x)) = (2sqrt 2)/sqrt(1-x)",
"21. sqrt((x+5)/x) +4sqrt(x/(x+5)) = 4",
"22. 1/(x-sqrt(x^2-x)) - 1/(x+sqrt(x^2-x)) = sqrt 3",
"23. (x^(4/3) -1)/(x^(2/3) -1)- (x^(2/3)-1)/(x^(1/3)+1)=4",
"24. root(7, (5-x)/(x+3)) + root(7, (x+3)/(5-x)) = 2",
"25. root(5, 16x/(x-1)) + root(5, (x-1)/(16x)) = 5/2",
"26. (sqrt x + root(3, x))/(sqrt x - root(3, x)) = 3",
"27. sqrt((18-7x-x^2)/(8-6x+x^2)) + sqrt((8-6x+x^2)/ (18-7x-x^2)) = 13/6",
"28. x/(x+1) -2sqrt((x+1)/x) =3",
"29. 20/sqrt x + x sqrt x + x = 22",
"30. (2+x)/(2-x) + sqrt x = 1",
"31. (x root(5, x)-1)/(root(5, x^3) -1) + (root(5, x^3) -1)/ (root(5, x)-1) = 16",
"32. (x^2)/ sqrt(5x+4) + sqrt(5x+4) = 4x/3 +2",
"33. (x^2)/ sqrt(2x+15) + sqrt(2x+15) = 2x",
"34. 1/(sqrt x + root(3 ,x)) + 1/(sqrt x - root(3, x)) = 1/3",
"35. (sqrt (x+1))/ sqrt (x+2) - sqrt (x+2) / sqrt (x+1) = 0",
"36. (sqrt (x+1)) / sqrt (x - 1) - sqrt (x - 1) / sqrt (x+1) = 1",
"37. (2x+3) / sqrt (5x^2+45) = 1",
"38. 1 / (2 sqrt (x+4)) = 1",
"39. x sqrt (x+3) + x^2 / sqrt (x+3) = 0",
"40. x / (2 sqrt (x - 1)) + sqrt (x - 1) = 2",
"41. 1 / sqrt (x+1) - x / (2(x+1) sqrt (x+1)) = 1",
"42. 10 / sqrt (x - 5) = sqrt (x - 5) - 3",
"43. root (3, x) - 1 = 2 / root (3, x)",
"44. x / sqrt (x^2+16) - 1 = 0",
"45. x / (2 sqrt (x+1))+ sqrt (x+1) = -1",
"46. (3 (sqrt x) sqrt (x+1)) / 2+ (x sqrt x) / (2 sqrt (x+1)) = 0",
""};

/*  6.17.13,  problems read from linineq.mhw */
char *problems93[] = {
"1. 2 < 3x",
"2. 1 + 3x < 4",
"3. x < x+1",
"4. x < x - 1",
"5. 1+x > 3",
"6. 1+x >= 3",
"7. 1 + 4x < 5x",
"8. 3(x+1) < 9",
"9. 2(x+2) < 36",
"10. 2(x-1) <= x+3",
"11. 4 <= 2x - 1",
"12. (2 - x) / 5 >= 0",
"13. 2x+9 > 0",
"14. -5x > 50",
"15. 2x +4 <= 7",
"16. - 9x < - 45",
"17. 3 - x/2 <= 8",
"18. 3x - 8 <= 13x - 9",
"19. x - 8 < 5x + 8",
"20. 3/4 x + 4 > 4",
"21. 3x+5 <= - 17",
"22. 6x + 13 <= 6 (x+1)",
"23. 5x - 4 < 6+4x",
"24. x - 6 < 5x+4",
"25. 6x - 13 <= 6 (x+1)",
"26. 4 (x+5) < 5x+3",
"27. 6x - 1 <= 2/3 x +1",
"28. (x - 1) / 2 < (x+1)/3",
"29. 4 - 6x <= -7+9x",
"30. x/2 - 4 > 8 - x",
"31. 2 (x+3) <= 6(x+1)",
"32. 3 (x - 1) >= 2 (x - 1)",
"33. 100 + 5x <= - 4x +10",
"34. 2 (1 - x) >= 5x",
"35. 1/2 x - 5 <= 1/4 x - 3",
"36. (9x - 5) / 7 > (2x+4) / 3",
"37. (3x+2) / (- 3) >= (5x+1) / 4",
"38. x + 3(x - 7) >= 3x + 2 (x - 1)",
"39. x/3 +7/2 >= 3/2x - 1/3",
"40. 3 (7x +11) < 4 (3x - 7) - 3 (5 - 3x)",
"41. 0 < x+7 < 3",
"42. 1 < 2x - 1 < 6",
"43. -1 <= 3x+4 < 16",
"44. -4 < 3x - 2 <= 4",
"45. -2 <= 1 - x < 5",
"46. 0 <= 1+x <1",
"47. -3/2 < 1/3 - x < 7",
"48. 15 < 7 - 3x < 17",
"49. -1 < (5 - x) / 3 < 3",
"50. -10 < 4+2x <= 16",
"51. 0 < 4+x/2 < 2",
"52. -2 < (4x - 1) /3 <= 0",
"53. -5 <= 2 - x <= 5",
"54. 2 <= (6 - 5x) / 3 < 5",
"55. 0 < (2 - x) / 5 <= 1/2",
""};

/*  6.17.13,  problems read from polyineq.mhw */
char *problems94[] = {
"1. 0 < 1-x^2",
"2. x^3 - x < 0",
"3. x^4 - 2x^2 + 1  < 4",
"4. x^2 < 4",
"5. x^2+1 < 0",
"6. x^2+1 >= 0",
"7. x^2 < 3x",
"8. x^2 - 5 <= 0",
"9. x^4 - 16 > 0",
"10. x^3 > x",
"11. x^3 - x <= 0",
"12. 2x^2 - x - 2 >= 0",
"13. 2x^2 - x - 2 <= 0",
"14. 3x^2 - x+1 > 0",
"15. 3x^2 - x+1 <= 0",
"16. 2x^2+x <= 1",
"17. (x - sqrt 2)(x+sqrt 2) < 0",
"18. (x+4)^2(x - 3)(x - 1) <= 0",
"19. (x - 3)(x+5)(2x - 8) < 0",
"20. x^3+2x^2 <= 8x",
"21. x^3+x^2 - 9x - 9 > 0",
"22. x^4+4x^3+3x^2 > 0",
"23. 4x^4+4 <= 17 x^2",
"24. x^4 < x^2+12",
"25. x^4+36 >= 13 x^2",
"26. x^(-2) - 4 x^(-1)+4 > 0",
"27. 6x^3+15x < 4x^2+10",
"28. x^3+x^2+x+1 > 0",
"29. x^2 + 9x + 20 <= 0",
"30. x^2 - 15 - 2x > 0",
"31. x^2 - x < 56",
"32. 35x^2 + 34x > -8",
"33. x^3 + x^2 - x < 0",
"34. 63x^3 + 111x^2 + 36x <= 0",
"35. 18x^3 - 3x^2 > 10x",
"36. 14x^4 - 19x^3 <= 3x^2",
"37. 56x + x^2 > x^3",
"38. 6x^6 + x^3 >= 2",
"39. 15x^2 - 47x < 10",
"40. 9x^2 + 6x <= 8",
"41. 40x^4 +16x^2 < 12",
"42. 6x^2 - 10 > 7x",
"43. 115x^2 + 60x > -50x^3",
"44. 3x + x(x - 2) < 0",
"45. 5x^2 > 13x + 7",
"46. 9x^4 + 5 > 14x^2",
"47. (x^2 - 3x)^2 - 10(x^2 - 3x) > -24",
"48. (x^2 - 9)^2 - 2 < -3(x^2 - 9)",
"49. x^4 + 20 >= 9x^2",
"50. 3x + x(x - 2) <= 0",
""};

/*  6.17.13,  problems read from ratineq.mhw */
char *problems95[] = {
"1. x/x > 0",
"2. 1 >= 3/x",
"3. 4/x <= x",
"4. 4 / (x - 1) > 3",
"5. 1/x > 3",
"6. (x - 4) / (x^2+2x) <= 0",
"7. (x^2 - 1) / (x^2+1) >= 0",
"8. (x - 2) / (x - 8) < 0",
"9. (2x - 5) / x >= 0",
"10. (x^2 - 9) / (x+4) < 0",
"11. (x^2 - 16) / (x^4 - 16) < 0",
"12. (3x - 6) / (x+2) >= 0",
"13. (x - 2) / ((x - 1)(x - 3)) >= 0",
"14. 1/x <= 1/(x - 2)",
"15. 1 / (x - 1) + 1 / (x+2) < 0",
"16. 2 / (x+1) >= 1/(x - 2)",
"17. 6 / (x - 1) - 6/x <= 1",
"18. (x - 3) / (2x+5) > 1",
"19. (2x - 3) / (x - 3) <= 1",
"20. (2x+1) / (x - 1) >= (x - 1) / (x+1)",
"21. x / (x^2 - 5x - 14) >= 2 / (x - 7)",
"22. -3 < 1/x <= 1",
"23. 1/(x+1) + 1/(x+2) <= 1/(x+3)",
"24. 9/(4x) + 1/3 < 5/(2x)",
"25. 3/(4x) + 5/6 >= 4/(3x)",
"26. 5/(7x) - 5/6 > 1/(6x)",
"27. x - 2/x <= (23)/5",
"28. x + 1/x < (17)/4",
"29. x - 3/x >= (26)/3",
"30. (x + 6)/(27) < 1/x",
"31. x/5 > (10)/(x - 5)",
"32. 7/(x+4) <= 3/(x-8)",
"33. 3/(x-1) > 4/(x+2)",
"34. 1 < 1/x < 6",
"35. 6 < 1/(x-1) <= 2",
"36. -2 < (x+2)/3 < 8",
"37. 1 < 1/(x+1) <= 6",
"38. 1 < (2y+5)/3 < 9",
"39. x/(x-4) - 2/(x+8) < 63/(x^2+4x-32)",
"40. 2/x - 3/x +4/x >= 5",
"41. 5/(x+4) <= 3/(x-2)",
"42. (x-5)/(x+1) >= 3/5",
"43. x + 4/x < -5",
"44. 1/(2x^2-x-1) + 3/(2x^2+x) > 2/(x^2-1)",
"45. 2/(x-4) <= 5/(x-1)",
"46. 4/(x-1) < 3/(x+2)",
"47. 3/(x+1) >= 2/(x-3)",
"48. (x-1)/(x-3) < 1/(x-3)",
"49. x + 5/x < -6",
"50. 7/(5x-2) <= 5/(4x)",
""};

/*  6.17.13,  problems read from rootineq.mhw */
char *problems96[] = {
"1. sqrt (x+1) >= 9",
"2. 1/4 < sqrt(1-x^2)",
"3. sqrt(x^2 - x - 1) < x",
"4. sqrt (3 - x^2) < x+1",
"5. sqrt(x^2+1) < x+1",
"6. sqrt(x^2+1) < x+1",
"7. sqrt(9x - 20) < x",
"8. sqrt(17 - 15x - 2x^2)/(x+3) > 0",
"9. (x-7)/sqrt(4x^2 - 19x + 12) < 0",
"10. x - 2 sqrt x - 1 > 0",
"11. sqrt(x + 3) <  sqrt(x-1) + sqrt(x-2)",
"12. sqrt(2x) - 1 > 7",
"13. sqrt (x^2 - 36) > 8",
"14. 1 - sqrt (-x) <= 1/2",
"15. 2 + sqrt (7x - 3) > 7",
"16. sqrt (x+5) <  x - 1",
"17. sqrt(x^2+2x+1)  >= x+3",
"18. sqrt (x+5) > x+1",
"19. sqrt (x^2 - x+1)  <= x - 1",
"20. sqrt (8x^2 - 5x+7) > 3x - 1",
"21. sqrt (x+1) +1 < x",
"22. sqrt(7x-6) - sqrt(5x+2) >= 0",
"23. sqrt (2 sqrt (x+1)) < sqrt (3x - 5)",
"24. sqrt (x+1) - 5 >= 8",
"25. sqrt (x-5) + sqrt x < 5",
"26. x <= 7 sqrt x+30",
"27. x - 10 sqrt x+9 >= 0",
"28. x < 15 - 2 sqrt x",
"29. x - 11 sqrt x+18 <= 0",
"30. 8 sqrt x <= 2",
"31. sqrt(x+4) + 6 > 7",
"32. sqrt(2x+3) - 5 <= -2",
"33. sqrt(x+3) < 6",
"34. 3 sqrt x > 6",
"35. 2 sqrt(1-x) < sqrt 5",
"36. x / (2 sqrt (x+1)) + sqrt (x+1) > 0",
"37. sqrt (4x+1) + sqrt (x+7) >= 6",
"38. sqrt(n-3) + sqrt(n+5) <= 2 sqrt n",
"39. sqrt (3x+4) < 2+ sqrt x",
"40. sqrt (x+4) - 11 > 0",
"41. sqrt (20 - x) + sqrt (20+x) >= 5",
"42. sqrt (2x - 5) < 1+ sqrt (x - 4)",
"43. sqrt (x - 1) + sqrt (x+4) >= 5",
"44. sqrt(3x+1) < sqrt(2x+6)",
"45. sqrt(2x-3) <= 1",
"46. sqrt (4x+2) + sqrt (2x) - sqrt 2 >= 0",
"47. sqrt x + sqrt (x+4) < sqrt (2x+4)",
"48. sqrt (2x+3) - sqrt (x - 2) <= sqrt (x+1)",
"49. x^4 - 2x^2 + 1  < 1/4",
"50. 4 sqrt (1+3x) + sqrt (6x+3) > sqrt (-6x - 1)",
""};

/*  6.17.13,  problems read from onecubic.mhw */
char *problems97[] = {
"1. x^3 + x + 1 = 0",
"2. x^3 + 2x + 1 = 0",
"3. x^3 + 2x + 3 = 0",
"4. x^3 + 3x + 2 = 0",
"5. 2x^3 + x + 1 = 0",
"6. x^3 + 2x + 2 = 0",
"7. x^3 - x + 1 = 0",
"8. x^3- x^2 + x - 1 = 0",
"9. x^3- x^2 + 4x - 4 = 0",
"10. x^3- 2x^2 + 3x - 1 = 0",
"11. x^3- 2x^2 + 3x + 1 = 0",
"12. x^3- 2x^2 + 3x + 1 = 0",
"13. 1 - 1/(x+2)=2/(x(x+1))",
"14. x^3 -x + 2 = 0",
"15. x^3 -2x + 3 = 0",
"16. x^3 -3x + 3 = 0",
"17. x^3 -3x + 4 = 0",
"18. x^3 -x + 3 = 0",
"19. x^3 -x^2 -x + 2 = 0",
"20. x^3 + x^2 - 1 = 0",
"21. x^3 + 2x^2 + x - 1 = 0",
"22. x^3-x^2 +x- 1 = 0",
"23. x^3-x^2 +x- 5 = 0",
"24. x^3-x^2 + 13 = 0",
"25. 3x^3+x^2 + x + 10 = 0",
"26. x^3 + 2x + 2 = 0",
"27. 2x^3 + 3x + 3 = 0",
"28. 2x^3 + 2x^2 + 1 = 0",
"29. x^3-2x^2 + 3x + 2 = 0",
"30. 3x^3 + 2x + 1 = 0",
"31. 3x^3 + 3x + 2 = 0",
"32. x^3 - 2x + 2 = 0",
"33. 5x^3-x^2 - 2x + 5 = 0",
"34. x^3 - 4x + 8 = 0",
"35. -x^3+x^2 - 2x + 10 = 0",
"36. x^3 - 4x + 13 = 0",
"37. x^3 - 6x^2 + x-18 = 0",
"38. x^3 + x^2 + 4x + 3 = 0",
"39. x^3 - x^2 + 7x + 10 = 0",
"40. x^3 + 18x + 72 = 0",
"41. x^3 + 4x^2 - 12 = 0",
"42. 6x^3 + 25x + 14 = 0",
"43. 3x^3 - x + 75 = 0",
"44. x^3 + x^2 - 2 = 0",
"45. 15x^3 + 34x + 15 = 0",
"46. 4x^3 - 13x^2 + 9 = 0",
"47. -3x^3 - 19x + 14 = 0",
"48. x^3 + 5x^2 + 43x = 24",
"49. 9x^3 - 37x^2 - 4 = 0",
"50. -x^3 - 7x^2 + 6x = 9",
""};

/*  6.17.13,  problems read from eqnrev.mhw */
char *problems98[] = {
"1. 3(x-2) = -15",
"2. -5(x-1) = 12",
"3. (2/3) x = -14",
"4. x^2+18x+72 = 0",
"5. x^2+7x-30=0",
"6. 16x^2 - 72x + 81 = 0",
"7. 7x^2+62x-9=0",
"8. x(x+2)=360",
"9. x^4+5x^2-36=0",
"10. 12x^3+46x^2+40x=0",
"11. abs x = 2",
"12. abs (x+2) = 4",
"13. abs (x+1) = 1",
"14. abs(x-3) = 2",
"15. abs(2x-1) =9",
"16. abs(5x-2) = 10",
"17. abs(-3x-4) = 15",
"18. abs(x+7) - 3= 4",
"19. abs(2x-1) + 1 = 6",
"20. abs(3x-5) =x",
"21. abs(x+3) = 2x-1",
"22. 3x +2 = abs(5-4x)",
"23. 7x + abs(5x+4) =5",
"24. abs(x/(x+1)) =1",
"25. abs(x^2 -1) =3",
"26. abs(x-1) = abs(x-5)",
"27. abs(x-3) + abs(x) =4",
"28. (abs(x))^2 - 2abs(x) +1 =9",
"29. sqrt x - root (4, x) - 6 = 0",
"30. x^(2/3) - x^(1/3) - 2 = 0",
"31. 10 / sqrt (x+5) = sqrt (x+5) - 3",
"32. 5 - 7(y-2)^(-1/3) + 2(y-2)^(-2/3) = 0",
"33. x^6 + 7x^3 - 8 = 0",
"34. x /(1 - x) = ((1 - x) / x)^3",
"35. (x^2 - 7x)^2 = 2 (x^2 - 7x)+48",
"36. 2 x^3 - x^2 - 8x+4 = 0",
"37. (x^2+x - 5) / x + (3x) / (x^2+x - 5) +4 = 0",
"38. 3/(4x) + 5/6 = 4/(3x)",
"39. 5/(7x-3) = 3/(4x-5)",
"40. (3x-7)/10 = 2/x",
"41. x/(x-6) -3 = 6/(x-6)",
"42. x/(x+1) + 3 = 4/(x+1)",
"43. -1 + 2x/(x+3) = (-4)/(x+4)",
"44. 7/(x+4) = 3/(x-8)",
"45. x/(x-4) - 2/(x+3) = 20/(x^2-x-12)",
"46. 2/(2x-3) - 2/(10x^2-13x-3) = x/(5x+1)",
"47. (x+1)/(2x^2+7x-4) - x/(2x^2-7x+3) = 1/(x^2+x-12)",
"48. (x+1)/(x^3-9x) - 1/(2x^2+x-21) = 1/(2x^2+13x + 21)",
"49. x/(2x^2 + 5x) - x/(2x^2+7x+5) = 2/(x^2+x)",
"50. sqrt(5x+2) = sqrt(6x+1)",
"51. sqrt(x^2+13x+37) = 1",
"52. sqrt 3y = y-6",
"53. sqrt(x+19) - sqrt(x+28) = -1",
"54. sqrt(x+4) = sqrt(x-1) + 1",
"55. sqrt(3x+1) + sqrt(2x+4) = 3",
"56. sqrt(2x-1) - sqrt(x+3) = 1",
"57. sqrt x - 1/(2 sqrt x) = 0",
"58. sqrt((20+x)/x) + sqrt((20-x)/x) = sqrt 6",
"59. x/(x+1) -2sqrt((x+1)/x) =3",
"60. (x^2)/ sqrt(5x+4) + sqrt(5x+4) = 4x/3 +2",
"61. (3 (sqrt x) sqrt (x+1)) / 2+ (x sqrt x) / (2 sqrt (x+1)) = 0",
"62. sqrt(t+3) - sqrt(t-2) = sqrt(7-t)",
"63. sqrt(t+7) - 2 sqrt(t-8) = sqrt(t-5)",
""};

/*  6.17.13,  problems read from rtpower.mhw */
char *problems99[] = {
"1. (1+ sqrt 3)(2- sqrt 3)",
"2. (2 sqrt 5 -4)(3 sqrt 5 +2)",
"3. 10 sqrt 5 +3 sqrt 45 - 2 sqrt 20",
"4. (7 sqrt 6 - 2 sqrt 3) (2 sqrt 6 + sqrt 3)",
"5. sqrt (2x^2 2y^2)",
"6. (sqrt(x) + sqrt(y))^2 - 2 sqrt (xy)",
"7. sqrt(x^2 + 2xy + y^2)",
"8. (sqrt x - sqrt y)(sqrt x + sqrt y)",
"9. (root(3, x) - 1)((root(3, x)+1)^2 - root(3, x))",
"10. (3 sqrt x- sqrt y)^2",
"11. 4 root(3, x)(2-3 root(3, x))",
"12. ((sqrt x-5)^2 )  x^3",
"13. root(8, 3^6 (x+y)^12)",
"14. sqrt ( root(6, x^8 y^14))",
"15. (sqrt x -2)^2 -(sqrt(x-2))^2",
"16. 3xy sqrt(x^2y) 2x sqrt(18xy^2)",
"17. root(3, (x^2+1)) root(3, (x^2+1)^2)",
"18. (root(3, x) + root(3, y)) (root(3, x^2) - root(3,x) root(3, y) + root(3, y^2))",
"19. root(3, x^7 y) - 2x root(3, -8x^4y) + x^2 root(3, 27xy)",
"20. sqrt(50x^3y) +x sqrt(xy/2) -2 sqrt(9x^3y/2)",
"21. sqrt((x^2+1)^2 - (x^2-1)^2)",
"22. (x sqrt y)^4 - (root(3, x) root(3, y))^3",
"23. (3 sqrt x - 2)(sqrt x- 5)(5 sqrt x +4)",
"24. (4 sqrt x-5)(2x sqrt x +3x -7)",
"25. (root(6, x^5) - root(6, y^3))^2",
"26. (sqrt (xy))^3 sqrt y sqrt x (sqrt(x^2 y))^2",
"27. sqrt(2x^2y) sqrt(8x^4y^3)",
"28. x root(5, 3^6 x^7 y^11)",
"29. 3 root(4, x^3) (4 root(4, x) -2x)",
"30. (5 sqrt x + sqrt y)  (5 sqrt x - sqrt y)",
"31. root(4, 4x^5 y) root(8, 6x^6 y^8)",
"32. (sqrt x -1)^2 + (sqrt x^2 + sqrt x + 1)",
"33. ((sqrt x) -(sqrt y))^2 - 3((sqrt x)^2 + (sqrt x) (sqrt y)  - (sqrt y)^2)",
"34. (sqrt x -1)^2 - (sqrt x-2)( sqrt x-3)",
"35. (sqrt x-1)( sqrt x-2)+( sqrt x-3)( sqrt x-4)",
"36. ((root(4, x))^2-1)( (root(4, x))^2 + 1) + ((root(4, x))^2-3)( (root(4, x))^2 + 3)",
"37. 2 root(3, x)^3 - (-2 root(3, x)^2 - (root(3, x)^2+4))",
"38. 4 root(3, x)^3 - (-(sqrt x)^2 + (5(sqrt x)^2-6))",
"39. (root(4, x))^2 - ((root(4, x))^2 -2(sqrt x)-( (root(4, x))^2-2(sqrt x)+7))",
"40. (9x(sqrt y)  -(4x+x(sqrt y) -(sqrt y))) +(4(sqrt y) -(2x-x(sqrt y) +2(sqrt y)))",
"41. ((root(4, x))^2 (root(4, x))^2 + (root(4, x))^4) (root(4, x))^4 + (root(4, x))^8",
"42. 2(sqrt x)^2 - ((sqrt x)-3)(2(sqrt x)+1)",
"43. 4(root(4, x))^2(sqrt y)  - (root(4, x)) ((root(4, x))(sqrt y) -(sqrt y) (2(sqrt y) -(root(4, x))))",
"44. (root(3, x)-1)( root(3, x)+1)+( root(3, x)+1)( root(3, x)-1)",
"45. (2 (sqrt x) (a+b (sqrt x)^2)-2b (sqrt x)^3)(a+b (sqrt x)^2)^2",
"46. ((a^2-(root(4, x))^2) + (root(4, x))^2)(a^2-(root(4, x))^2)",
"47. ((root(4, x))^2+4(root(4, x))+3)+( (root(4, x))^2+8(root(4, x))+7)",
"48. (1-3 (sqrt x))( (sqrt x)+1)-(2 (sqrt x)-3 (sqrt x)^2)^2",
"49. (sqrt x +1)^2 - (root(3, x^3) + sqrt(x-1))^2",
"50. 2(sqrt x)^2 - (sqrt x-2)(sqrt x + 2)",
""};

/*  6.17.13,  problems read from rtfract.mhw */
char *problems100[] = {
"1. 1/sqrt(2)  + 1/sqrt(3)",
"2. 1 / (3 - sqrt 5)",
"3. (1 - sqrt 3) / sqrt 3",
"4. 4 sqrt (1/5) + 2 sqrt (125)",
"5. 6 sqrt (1/6) - sqrt (2/3)",
"6. 3 / (sqrt 2 + sqrt 5)",
"7. sqrt(2)/sqrt(3) + sqrt(3)/sqrt(2)",
"8. (2 sqrt 5 - 3 sqrt 2) / (5 sqrt 5 + 2 sqrt 2)",
"9. (sqrt 3) / (1 - sqrt 3)",
"10. (1 + sqrt 7) / sqrt 7",
"11. 1 / (sqrt 12 + sqrt 18)",
"12. sqrt (1/x^2 + 1/y^2)",
"13. 1 / ( sqrt x - sqrt y)",
"14. ( sqrt x + 6) / (sqrt x - 6)",
"15. sqrt(x^2 + 3x + 2)/sqrt(x+1)",
"16. sqrt(x^2 -1)/sqrt(x+1)",
"17. sqrt(x^2x^2 + x^4)/x",
"18. root(3 ,x^3x^3 + 7x^6)/x",
"19. sqrt(x^2-y^2)/sqrt(x-y)",
"20. sqrt(x^2 - 5x + 6)/sqrt(x-3)",
"21. sqrt(x-1)/sqrt(x^2-2x+1)",
"22. sqrt(x^2 + 4x+ 4)/sqrt(x^2+x+2)",
"23. (5 sqrt x) / (3 - 2 sqrt x)",
"24. (sqrt x +2 - 3 /(sqrt x+4)) / ((sqrt x)/(sqrt x+4) + 1/(sqrt x+4))",
"25. 1 / (sqrt x+ sqrt (x - 3))",
"26. sqrt(x)/sqrt(y) - sqrt(y)/sqrt(x)",
"27. 1 / ( sqrt x - sqrt y)",
"28. 6x sqrt((x^2 - 4)) (2x+1)^2 + x (2x+1)^3 (1/sqrt((x^2 - 4)))",
"29. sqrt(x^4 + 2x^3 + x^2)/sqrt(x^3+1)",
"30. ( sqrt y - 9) / (sqrt y + 9)",
"31. sqrt(x^2 + 2x + 1)/sqrt(x+1)",
"32. sqrt(x^3 -1)/sqrt(x-1)",
"33. sqrt((3x^2)^2 + 7x^4)/x",
"34. sqrt(x^4-y^4)/sqrt(x+y)",
"35. (1/(sqrt x) - 1/4) / ((sqrt x) - 4)",
"36. (sqrt x)/(1/(sqrt x)+4) + 1",
"37. sqrt (x^3-1) / sqrt(x-1)",
"38. sqrt(x^2 - 6x + 5)/sqrt(x-1)",
"39. sqrt(x^2 + 6x+ 9)/(x+3)",
"40. ( sqrt y) / (5 -  sqrt y)",
"41. 1 / (sqrt (x+3)+ sqrt (x - 3))",
"42. sqrt(x^4 + 2x^2 + 1)/sqrt(x^2+1)",
"43. ((sqrt x) - 16) / (1/(4 sqrt x) - 1/4)",
"44. (sqrt x)/(1/(sqrt x +4) + 1)",
"45. sqrt (x^6-1) / sqrt(x-1)",
"46. 2(sqrt t) / ((sqrt t) - 1 / (1 - 1/(sqrt t)))",
"47. 1-1 / (1-1/(1-(sqrt u)))",
"48. (1 / ((sqrt x) - 3) - 1/3) / (sqrt x)",
"49. [(sqrt x)-2/((sqrt x)+1)]/[ (sqrt x)+( (sqrt x)-3)/( (sqrt x)+1)]",
"50. (sqrt x) / ((sqrt x) - 2 / (3 - 1/(sqrt x)))",
"51. 1+1 / (1+1/(1+(sqrt x)))",
"52. (2+1/((sqrt x) - (sqrt y))) / (1 - 2/((sqrt x)- (sqrt y)))",
"53. ((3(sqrt x)^2+5(sqrt x))/( (sqrt x)^2 - 25)) / (2/((sqrt x)-5) +1/((sqrt x)+5))",
""};