Sindbad~EG File Manager

/*  6.17.13,  problems read from nonparam.mhw */
char *problems41[] = {
"1. z = xy",
"2. z = cos x cos y",
""};

/*  6.17.13,  problems read from polarsrf.mhw */
char *problems42[] = {
"1. z = r^2       @This is called the \\it paraboloid.\\rm",
  " @It is obtained by revolving a parabola about its axis of symmetry.",
"2. z = r^2 cos 2 theta       @The real part of the complex function $z^2$.",
"3. z = ln(cos(x)/cos(y))       @This is Scherk's surface.  It is a \\it minimal surface \\rm,",
  " @which means that its area cannot be decreased by small perturbations.",
"4. z = theta       @This is called the \\it helicoid \\rm.  It is a minimal surface.",
"5. z = arccosh r       @One part of the \\it catenoid.\\rm  This surface",
  " @is obtained by rotating $r = cosh z$ about the $z$-axis,",
  " @but to write it in the form $z = f(x,y)$, we use",
  " @only the upper half.",
""};

/*  6.17.13,  problems read from surface.mhw */
char *problems43[] = {
"1. x = (cos theta) ( 1 + 0.4 cos r), y = (sin theta) (1 + 0.4 cos r), z = 0.4 sin r | -pi <= r <= pi, 0<=theta<=2pi       @This is called a \\it torus.",
"2. x = r cos theta, y = r sin theta, z = 0.2 * a theta | -2pi  <= theta <= 2pi, 0 <= r <= 1.5       @This is called the \\it helicoid.  \\rm Try changing the range of $theta$",
  " @or the parameter $a$.",
"3. x = r cos theta - (1/3) r^3 cos(3 theta), y = -r sin theta - (1/3) r^3 sin(3 theta), z = r^2 cos(2 theta)       @Enneper's surface, discovered in 1846.",
"4. x = cos theta, y = sin theta, z = r | 0 <= theta <= 2pi, -1 <= r <= 1       @This is a cylinder, because $x$ and $y$ describe a circle.",
"5. x = cosh r cos theta, y = cosh r sin theta, z = r | -1 <= r <= 1, 0 <= theta <= 2 pi       @This is the \\it catenoid, \\rm obtained by revolving $x = cosh z$ about the $z$-axis.  It is a minimal surface.",
"6. x = cosh r cos theta cos(pi b/2) + sinh r sin theta sin(pi b/2), y = cosh r sin theta cos(pi b/2) - sinh r cos theta sin(pi b/2), z = r cos (pi b/2) + theta sin(pi b/2) | -1 <= r <= 1, 0 <= theta <= 2 pi       @As b changes from 0 to 1, this surfaces changes from the helicoid to the catenoid.",
  " @This is an example of an \\it isometric deformation.",
""};

/*  6.17.13,  problems read from evalnum.mhw */
char *problems44[] = {
"1. (x+1)(x+2)",
"2. (x-1)^2",
"3. (x+2)(x+3)",
"4. (2x-1)(x+1)",
"5. x(x-y-1)",
"6. (x+1) (x^2 - x + 1)",
"7. (x-y)(x^2 + xy - y^2)",
"8. (x^3 + x + 1)(x^3 - x + 1)",
"9. (x-1)(x-2)(x-3)(x-4)",
"10. (x^2-1)(x^2 + 1)",
"11. (5x+2) + (7x-1) + (-4x-3)",
"12. (12x-9) - (-3x+4) - (7x+1)",
"13. 3x - (5x-(x+6))",
"14. 2x^2 - (-2x^2 - (x^2-4))",
"15. (4t^2 -(2t+1)+3)-(3t^2 + (2t-1)-5)",
"16. (4x^3)(9x)",
"17. (6x^3)(7x^2)",
"18. (-2x^2)(6x^3)",
"19. (3x)(-2x^2)(-5x ^3)",
"20. (-2x)(-6x^3)(x^2)",
"21. (-6x^2)(3x^3)x^4",
"22. (-7x^2)(3x)(4x^3)",
"23. (4x^3 - (2x^2-x-1)) - (-x^3 + (7x^2 -x + 10))",
"24. (-3y^2)(-2y^2)(-4y^5)",
"25. (-y^3)(-6y)(-8y^4)",
"26. (3xy^2)^3",
"27. (4x^2y^3)^3",
"28. (-2x^2y)^5",
"29. (-3xy^4)^3",
"30. (-x^4y^5)^4",
"31. (-x^5y^2)^4",
"32. (9xy^4)^2",
"33. (8x^2y^5)^2",
"34. (2xy)(-4x^2y)",
"35. (5xy)(-6y^3)",
"36. (-7xy)(4x^4)",
"37. (-x^3y^2)(xy^3)",
"38. ((2/5) xy^2)((3/4)x^2y^4)",
"39. ((1/2) x^2y^6)((2/3)xy)",
"40. (-(1/2)xy)((1/3)x^2y^3)",
"41. ((3/4)x^4y^5)(-x^2y)",
"42. (x^2y)(-3xy^2)(x^3y^3)",
"43. (xy^2)(-5xy)(x^2y^4)",
"44. ((2/3)xy)(-3x^2yy)(5x^4y^5)",
"45. ((3/4)x)(-4x^2y^2)(9y^3)",
"46. (12y)(-5x)(-(5/6)x^4y)",
"47. (-12x)(3y)(-(3/4)xy^6)",
"48. 9x^4/y^5/(3xy^2)",
"49. 12x^2y^7/(6x^2y^3)",
"50. 25x^5y^6/(-5x^2y^4)",
""};

/*  6.17.13,  problems read from polyiden.mhw */
char *problems45[] = {
"1. (x^2 + y^2)(x- y)(x+y) - x^4 = -y^4",
"2. (x^2x^2 + x^4)x^4 + x^8= 3x^8",
"3. (x-1)(x-2)+(x-3)(x-4)= 2(x^2-5x+7)",
"4. (x^2-1)(x^2 + 1) + (x^2-3)(x^2 + 3)= 2(x^4-5)",
"5. (6x+4) - (4x-2) + (-x^2 -1)= -x^2 +2x+5",
"6. (x^2x^2 + x^4)x^4 - x^8 = x^8",
"7. (x-1)(x+1)+(x+1)(x-1)= 2(x^2-1)",
"8. (2x(a+bx^2)-2bx^3)(a+bx^2)^2 = 2ax(bx^2 +a)^2",
"9. ((a^2-x^2) + x^2)(a^2-x^2)= a^2(a-x)(a+x)",
"10. (x+a)^2 - (x-a)^2  = 4ax",
"11. (x+a)^2 + (x-a)^2 = 2x^2 + 2a^2",
"12. x(2a-x) + 2x^2 + a^2 = (x-a)^2 + 4ax",
"13. (1-x)(1 + x + x^2 + x^3 + x^4) = 1-x^5",
"14. (1+x)(1 - x + x^2 - x^3 + x^4) = 1+x^5",
"15. (1-x^2)(1+x^2)(1+x)(1-x+x^2)=(1+x^3)(1-x)(1+x+x^2+x^3)",
"16. (a^2-b^2)(a^2+b^2) + 2b^4+2a^2b^2 = (a^2 +b^2)^2",
"17. u^2(u^2 + u^3) - u^3(u -u^2) = 2u^5",
"18. (x^3 x^2 + x^5)x^2 - (x^2 -x)x^5 = x^6(x + 1)",
"19. x(x+y)y + x(x-y)y = 2x^2 y",
"20. x(x+y)y - x(x-y)y = 2xy^2",
"21. x(x+y)^2 - x(x-y)^2 = y(x+y)^2 - y(x-y)^2 +4x^2y -4xy^2",
"22. x(x+y+z) + y(x+y+z) + z(x+y+z) = (x+y+z)^2",
"23. (x+y)^3 + (x-y)^3 = 2x^3 + 6xy^2",
"24. (x+y)^3 - (x-y)^3 = 6x^2y + 2y^3",
"25. x(x^2-y) - y(y^2-x) = (x-y)(x^2+xy+y^2)",
"26. x^2(x-y) + y(x^2+y^2) = x^3 + y^3",
"27. x(x^2 + x + 1) - x^2(x + 1) = x",
"28. x^2(x+2) - x(x+1)^2 = -x",
"29. x(x+1) + x^2(x+2) + x^3(x+3) = x + 3x^2 + 4x^3 + x^4",
"30. (x+1)(x+2) + (x-1)(x+2) = 2x^2 + 4x",
"31. (x+1)(x+2) + (x+3)(x+4) = 2x^2 + 10x + 14",
"32. x(x-1)(x-2)-1 = (x-1)^3 -x",
""};

/*  6.17.13,  problems read from lineq1.mhw */
char *problems46[] = {
"1. 4x+2 = 11",
"2. 7x+4 = -3",
"3. 5y-3 = 21",
"4. 3x-4 = 5x",
"5. -14 = 3a-2",
"6. -8y-2 = 8y",
"7. 7x+4 = -31",
"8. 4x - x = 3x",
"9. 7(2x - 1) = 5x + 2",
"10. 8x/7 = 56x/9",
"11. 5y+2 = 2y-14",
"12. 3x+4 = 5x+2",
"13. -6a -4 = -7a + 11",
"14. 2(3x-7) + 4x=12",
"15. 4x-2-x = 5x+1",
"16. 4x-1 - 2x = 8x-3+x",
"17. 4x -2=x+8",
"18. x+7=3x+3",
"19. 6n-4-3n = 3n + 10 + 4n",
"20. 3(x-2) = -150",
"21. 6x +1=2x/3",
"22. 5x/2 -5= 3x-15",
"23. -5(x-1) = 10",
"24. 5x-4(x+6) = -10",
"25. -2(3x-1) - 3 = -14",
"26. 2x-1 = 5(2x-9)",
"27. 2(1-x)= 2x -1+10",
"28. 4(x-2) + 3(x-1) = x+6",
"29. 3(2a-1) + 2(5a+1) = 3a+4",
"30. 3(2x-(x-2))=-6(3-2x)",
"31. -2(n-4) -(3n-1) = -2 + (2n-1)",
"32. 4-3x=3(4-x)",
"33. 1-12x =7(1+2x)",
""};

/*  6.17.13,  problems read from multpoly.mhw */
char *problems47[] = {
"1. (x+1)(x+2)",
"2. (x+3)(x-1)",
"3. (x+2)(x-1)",
"4. (x-1)^2",
"5. (x+1)^2",
"6. (x+2)^2",
"7. (x+2)(x+3)",
"8. (x+2)(x-3)",
"9. (2x+1)(x+1)",
"10. (2x-1)(x+1)",
"11. (x-y)(x+y)",
"12. (x-y)(x-1)",
"13. x(x-y-1)",
"14. (x+y)(x+y-1)",
"15. (x-1) (x^2 + x + 1)",
"16. (x+1) (x^2 - x + 1)",
"17. (1+x)(1-x-x^2)",
"18. (x+y)(x^2 - xy + y^2)",
"19. (x-y)(x^2 + xy - y^2)",
"20. (x+y+1)(x+y-1)",
"21. (x^2 + x + 1)(x^2 - x + 1)",
"22. (x^3 + x + 1)(x^3 - x + 1)",
"23. (x-1)(x^2-1)(x^3-1)",
"24. (x-1)(x-2)(x-3)",
"25. (x-1)(x-2)(x-3)(x-4)",
"26. (x^2-1)(x^2 + 1)",
"27. x (3x^2y+7xy^2)",
"28. c t^2 (3c - 2t+4)",
"29. (x - 2y) (y - 2x)",
"30. (9x+y) (9x - y)",
"31. (2x+4) (4+x - x^2)",
"32. (x^3 - 3) (x^2 - x - 12)",
"33. (x^n - 3) (x^n - 1)",
"34. (10 x^2 - 15)^2",
"35. (2x+y)^3",
"36. (1+x^3)^3",
"37. (3 - x) (x^2+x - 1)",
"38. 2x (x - y)^2 (1+y)",
"39. 3 (x+6) (x+5) (x+4)",
"40. (16+25x^4) (16 - 25x^4)",
"41. (x^3+2x^2 - 5x) (3x^2 - 3x - 10)",
"42. x^3 (x - 1) (1 - x^2)",
"43. 2 (x - 1) (3x+1) (2x+4)",
"44. (x^2 - x+a) (-5x^3 - x+4)",
"45. xy^2 (16 x^2 y^3 - 12 x^3 y^4+x^5 y^5)",
"46. (4x^2+5) (16x^4 - 20 x^2+10)",
"47. (2x - 9)^2 (2x+1)",
"48. (x^2 - 9) (x - 3)^2",
"49. (4+x)^2 (16+x^2)",
"50. (x^2 - y^2) (x - y)^2",
"51. (4a^4b - b^2) (4b^4a+a^2)",
""};

/*  6.17.13,  problems read from absval1.mhw */
char *problems48[] = {
"1. abs x < 2",
"2. abs x < 3",
"3. abs x <= 10",
"4. abs x <= 4",
"5. abs x > 5",
"6. abs x > 3",
"7. abs (x+1) < 2",
"8. abs (x-2) < 4",
"9. abs (x+2) <= 4",
"10. abs (x+1) <= 1",
"11. abs(x-2) > 11",
"12. abs(x+1) > 6",
"13. abs(x-3) >= 2",
"14. abs(x-2) >= 1",
"15. abs(x-1)=9",
"16. abs(x+2)=13",
"17. abs(x-2) > 5",
"18. abs(x-3) > 7",
"19. abs(x+3) < 8",
"20. abs(x+1) < 20",
"21. abs(2x-4) = 16",
"22. abs(3x-4) = 18",
"23. abs(2x-1) <=12",
"24. abs(3x+1) <= 9",
"25. abs(4x-2) >= 10",
"26. abs(5x-2) >= 12",
"27. abs(6x-4) = 11",
"28. abs(5x-3) = 15",
"29. abs(4-8x) = 5",
"30. abs(3-4x) = 10",
"31. abs(2-x) > 4",
"32. abs(3-x) > 3",
"33. abs(4-2x) < 2",
"34. abs(8-3x) < 5",
"35. abs(5x+8) <= 8",
"36. abs(7x-6) >= 22",
"37. abs(x-3/4) = 2/5",
"38. abs(x-1/2) = 3/5",
"39. abs(-2x+7) <= 13",
"40. abs(-3x+4) <= 15",
"41. abs((x-3)/4) < 8",
"42. abs((x+2)/3) < 10",
"43. abs((2x+1)/2) > 10",
"44. abs((3x-1)/4) > 13",
"45. abs(2x-3) - 2 = 50",
"46. abs(3x-1) +1 = 19",
"47. abs(x-7) - 3 >= 14",
"48. abs(x-2) - 4 >= 1",
"49. abs(2x+1) + 1 <= 6",
"50. abs(5x+3) - 2 <= 5",
""};

/*  6.17.13,  problems read from numpow.mhw */
char *problems49[] = {
"1. 2^3 2^5",
"2. 2^2 3^2",
"3. 2^3 2^4 3^2",
"4. 2^3 2^5 3^2 3^5",
"5. 2^3 3^3 2^4",
"6. 2^3 3^3 2^4 3^4",
"7. 2^(2^3)",
"8. (2^2)^3",
"9. 2^(2^2^2)",
"10. (2^2)^(2^2)",
"11. (2^2^2)^2",
"12. 2^(3^2)",
"13. 2^2^3 2^2",
"14. 2^2^3 (2^2)^3",
"15. 2^(2^3) - (2^2)^3",
"16. 12(3^3) 3",
"17. (2^3)4(3^2)",
"18. (-4^2)(-4) 2^3",
"19. 3^2 4^2 2 2^2 3^3",
"20. (6 2 3)^3(-6 2^3)",
"21. (4 3 5)(4 3^4)",
"22. (3 3^3 3)( 9 2^2^2)",
"23. (-2^3 5^2)(2 5^3)",
"24. (3/7) 3 7 (1/3)3^2^3",
"25. 5 (-2^3)(-5 2^2)",
"26. (-3 5)(-5 3^3)( 5^2)",
"27. (-2^2)(3^3)2^5",
"28. (5^2 3)(-5 5 3^2)(5^3 3^5)",
"29. (8 7^2)(-4 7)(2^2 7^3)",
"30. (3)(-2 3^2)^2",
"31. (3/4)(-2 3^2 5^2)(3 3^4)",
"32. (-8)(3 3^5)(-(3/4) 2^5)",
"33. (-2 3^2 2)^3",
"34. (-3 2^4)^4",
"35. (-2^5 3^2)^5",
"36. (3^2 4^3 2^5)^3",
"37. (2 3^3 2^2)^5",
"38. (2^2^2 2^5)^4",
"39. ((-2 3)^2 3^3)^2",
"40. -(-5 (-3)^3^2  5)^3",
"41. ((3^2 2^3)^2 6^2)^5",
"42. -(5 6^2  2^3)^7",
"43. ((-3)^3 3^3 2^2)^4",
"44. ((-4^2) 2^4^2)^5",
"45. 6 (3^2 2^6)/(6 3^2 2^4)",
"46. 2^6^4/(2^2^3)",
"47. (-3 (2 3)^4 2^5 3^7)/(4^2 (3 2)^3)",
"48. ((-5)^4 2^5 3)/(5^2 2^4 9)",
"49. 17 5 3^3/(-51)( 5^3 3^2)^3",
"50. -48 (3^2 2^3)^2 /(2 2^2^3 6)",
""};

/*  6.17.13,  problems read from algpow.mhw */
char *problems50[] = {
"1. (x^3)(8x)",
"2. (3x^3)(4x^2)",
"3. (-a^2b)(-4ab ^3)",
"4. (-8a^2b^2)(-3ab^3)",
"5. (x^2yz^2)(-8xyz^3)",
"6. (6xy)(-6y^3)",
"7. (-4xy)(4x^4)",
"8. (3a^3b)(9a^2b^2)",
"9. (-8a^2b^3)(-12ab^4)",
"10. (-x^3y^2)(xy^3)",
"11. (-(3/7)ab)((1/7)a^2b^3)",
"12. (-(2/5)a^2)((3/5)ab^2)",
"13. x (-2x^3)(-5x ^2)",
"14. (-3x)(-5x^3)(x^2)",
"15. (-x^2)(3x^3)x^5",
"16. (x^2y)(-5xy^2)(x^3y^5)",
"17. (xy^2)(-4xy)(x^2y^3)",
"18. (4ab)(-2a^2b)(7a)",
"19. (3b)(-2ab^2)(7a)",
"20. (-5a^2b)(-ab^2)(-3a)",
"21. ((3/4)x)(-2x^2y^2)(3y^4)",
"22. (-8x)(3y)(-(3/4)xy^5)",
"23. (-2x^2y)^6",
"24. (-3xy^4)^5",
"25. (-x^5y^2)^7",
"26. (a^2b^3c^5)^3",
"27. (2a^3b^2)^8",
"28. (x^2y^5)^4",
"29. (-2a^2b^3)^2",
"30. -(5ab)^4",
"31. -(xy^2z^2)^7",
"32. -(xy^2z^3)^7",
"33. (-xy^3z^2)^8",
"34. (-x^2y^4z^5)^5",
"35. 6x^2y^6/(6x^2y^4)",
"36. 56x^6y^4/(-7x^2y^3)",
"37. (-8a^3bc^4)/(-6a^2c^3)",
"38. (-32x^4y^5z^7)/(x^2yz^3)",
"39. (-a^4b^5c)/(a^2b^4c)",
"40. 7ab^3/(-7ab)",
"41. (-12abc^2)/(3bc)",
"42. (-48xyz^2)/(2xz)",
"43. (2x^n)(7x^(2n))",
"44. a^(2n-1) a^(3n+5)",
"45. x^(3n+2) x^(n+1)",
"46. a^(10n-2) a^3",
"47. (2x^n)(-5x^n)",
"48. (-3a^2)(-4a^(n-2))",
"49. x^n(2x^(2n))(3x^2)",
"50. (6x^(n+1))x^(n-1)(4x^(2+n))",
""};

/*  6.17.13,  problems read from simpfact.mhw */
char *problems51[] = {
"1. 5x^2 + 6x",
"2. 7xy-3y",
"3. x^5 - 8 x^2",
"4. 7a^2b - 4ab^2",
"5. 4a^3b^2 + 36a^2b",
"6. x^2-16",
"7. x^2-49y^2",
"8. 4x^2-64",
"9. 3 b^2+6xb",
"10. x^3-25x",
"11. 8+x^3",
"12. 4x^3 + 9 x",
"13. 5y^2 - 80",
"14. x^3-27",
"15. (x - 1)^3+1",
"16. x^4 - 4x^2",
"17. (x+2)^2 - 9x^2",
"18. 9x^4 - 121 x^2",
"19. 8x^3 - 27y^3",
"20. 125x^3 + 64y^3",
"21. r^3 - t^3",
"22. 7x^3+7a^3",
"23. a^2x^2 - y^2",
"24. 49 - 9y^2",
"25. (2x - 1)^2 - (x+3)^2",
"26. (a+2)^3+8",
"27. (x-5)^2 - y^2",
"28. 25s^2 - (3t+1)^2",
"29. 8x^2-72",
"30. 9y^2-81x^2",
"31. (x+1) (x^2 - 5)^2+4x (x+1)^2 (x^2 - 5)",
"32. x(y+1) + 5(y+1)",
"33. x(x-1) +8(x-1)",
"34. 4x (x - 2)^2 (x - 1)+8 (x - 2) (x - 1)",
"35. x (x - 2)^2+2 (x - 2)",
"36. x^4 (x - 7)^2 - 4x^3 (x - 7)^3",
"37. 6x^5 - 18x^3 + 24x",
"38. 16 x^5y^2+8x^3y^3",
"39. 4x^5y^3 - 3x^4y^5 + 6x^2y^3",
"40. x^6-25y^2",
"41. 81 - y^4",
"42. 81 x^4 - 256y^4",
"43. x^4 - y^4",
"44. x^4 - 16",
"45. x^6 - 27y^3",
"46. 64 x^3 - y^6",
"47. x^4-81",
"48. 16 - x^4",
"49. x^6-y^6",
"50. x^6+y^6",
"51. 3 x^6 - 24y^6",
"52. x^8 - y^8",
""};

/*  6.17.13,  problems read from factquad.mhw */
char *problems52[] = {
"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 grouping.mhw */
char *problems53[] = {
"1. x+1+y+xy",
"2. 2 - y^2+2x - xy^2",
"3. 2a(a+3) -(3+a)",
"4. -y - x+1+xy",
"5. (5x - 2) (x - 2)+(3x+8) (5x - 2)",
"6. a^2 (x - 1)+ b^2 (1 - x)",
"7. 9 (x - 5) + x^2 (5 - x)",
"8. 5x^4 (x+7)^2+ 4x^3 (x+7)^3",
"9. x^2 - 2x+3x - 6",
"10. (x-3)^2 - x^2 +9",
"11. x^2y - 3+3x^2 - y",
"12. 5x^2 - 40x - x+8",
"13. a^5 - a^3 - a^2+1",
"14. x^2(x-y) + y^2(y-x)",
"15. x^2 +4x+4 - 9y^2",
"16. x^2+y^2-2xy -1",
"17. x^2 - y - x+xy",
"18. y^2 - 2xy+x^2 - y+x",
"19. y^2+9 - 6y - 4x^2",
"20. x^2y - 2z^2 - 2xyz+xz",
"21. 2ax+bx - 4a - 2b",
"22. a^5 - a^3 - a^2+1",
"23. x^4 + 2x^3 - x - 2",
"24. (12x^2-8xy) - 5(3xz-2yz)",
"25. 2ax - 2ay+x - y",
"26. 2xy - 3y+2xz - 3z",
"27. p^2-2pq + pr - 2qr",
"28. xy - zy - xw+zw",
"29. 4z^3 - 6z^2 - 6z + 9",
"30. 4x^2+y^2+4xy - 1",
"31. h^2-4k^2-4h + 4",
"32. 2ax -6bx +ay -3by",
"33. 8ac+3bd - 6bc - 4ad",
"34. x^4+x^3y-xy^3-y^4",
"35. p^2 + q^2 - r^2 -2pq + 2r - 1",
"36. a^4+ab^3-a^3b -b^4",
"37. 2x^3 -50x +2x^2 -50",
"38. y^3 - 3y^2 - 4y+12",
"39. x^3 - 5x - 3x^2+15",
"40. x^3 - y^3+xy^2 - yx^2",
"41. a^3+1+3a+3a^2",
"42. 15x^3 y^5 - 25 x^4 y^2+10 x^6 y^4",
"43. x^5 - x^2 - 4x^3+4",
"44. u^2-v^2 + 2v-1",
"45. u^2 - 2uv - 15v^2",
"46. 63 u^2 - 46 uv + 8v^2",
"47. (h^2k^2 + 4k^2) + (h^2k + 4k)",
"48. 70a -84b +20ab -24b^2",
"49. 21bc^2 -6c-3c^3 +42b",
"50. 12y-9x^2+36-3x^2y",
"51. 30a^3 -18a^2b -72b +120a",
"52. x^3+y^3+2x^2-2xy+2y^2",
"53. a^3-b^3+3a^2 +3ab+3b^2",
"54. a^4+ab^3-a^3b -b^4",
"55. 3 ay^2 - a x y + 9 xy - 3 x^2",
""};

/*  6.17.13,  problems read from complesq.mhw */
char *problems54[] = {
"1. x^2 + 2x -1 = 0",
"2. y^2+8y = 10",
"3. 3x^2 -2x-2=0",
"4. -y^2 = -9y + 5",
"5. z^2-6z-307=8",
"6. 2x^2 -4x+1=0",
"7. 2x^2 + x-4 = 0",
"8. w^2 + w = 3",
"9. 2x^2 -4x +3=0",
"10. 2y^2/3 - y - 3 = 0",
"11. x^2 -x/2 +1=0",
"12. 3a^2 - 8a+2 = 0",
"13. -x^2 +3x -4=0",
"14. y^2/2 - y/4 = 3",
"15. x^2 -3x+4=0",
"16. 4x^2 +20x +13=0",
"17. n^2+5n-3= 0",
"18. -2x^2 -6x -5=0",
"19. a^2-8a = 4",
"20. x^2 +4x+4=0",
"21. n^2+5n+8 = 0",
"22. 3x^2 -4x-2=0",
"23. x^2-18x+80 = 0",
"24. x^2 -2x+2=0",
"25. 4x^2+7x+2=0",
"26. x^2 -6x +1 =0",
"27. 4x^2 -12x -11=0",
"28. -2n^2 + 3n+5 = 0",
"29. 2x^2 +6x+8=0",
"30. 3x^2 + 19x + 20 = 0",
"31. x^2 -6x +1 =0",
"32. x^2 -8x+11=0",
"33. 36n^2 - 60n + 25 = 0",
"34. x^2 +2x-4=0",
"35. x^2 +6x +7=0",
"36. 4x^2 - 2x = 3",
"37. x^2 +x-1=0",
"38. 3x^2 -6x +5=0",
"39. 5x^2 - 13x = 0",
"40. x^2 +2x -2=0",
"41. 2x^2 +4x-3=0",
"42. 2x^2 +8x+1=0",
"43. 6t^2  +t - 3 = 0",
"44. x^2 +2x -4=0",
"45. n^2+32n+252 = 0",
"46. 3x^2 -10x -1=0",
"47. 12x^2-73x+110=0",
"48. 7x +10 =3x^2",
"49. -3x^2+6x+4=0",
"50. x^2 = 3x-5",
"51. -6x^2+2x+1=0",
"52. x^2 -4x+2=0",
"53. x^2 +5x-10=0",
"54. x^2 +mx +n =0",
""};

/*  6.17.13,  problems for  _alg1_linear_inequality */
char *problems55[] = {
"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 twoeqns.mhw */
char *problems56[] = {
"1. y = x, y=3x - 1",
"2. y= - 3 - x, y = 2x+3",
"3. y = x - 2, y = 5x+6",
"4. - 2x - y = - 5, 5x - 7y = 0",
"5. 2x - y = 0, 3x+y = 5",
"6. 3x-2y =1, 5x+y = 6",
"7. 2x+7y = 3, x-14y = -1",
"8. 5x-3y=2, 15x-9y = -4",
"9. 8x+6y = 24, 4x+3y=12",
"10. y = 1/3x - 5, x - y - 15 = 0",
"11. 3 x - y = 4, 3y = x - 4",
"12. 5x+2y = 1, 2x - 3y = - 11",
"13. 4y = 3x+2, 2x = 3y - 3",
"14. 2x+3y = 2, x - 2y = 8",
"15. 4x+2y = 2, 6x - 5y = 27",
"16. 4x - y = 13, x+2y = 1",
"17. 4x = 7y - 6, 9y = - 12x+12",
"18. x - 2y = 1, 2x - y = 5",
"19. 3x+y = 7, x - y = 1",
"20. - x+2y = - 4, x - y = 3",
"21. x - 2y = 3, y - 3x = - 14",
"22. x - 3y = 10, 3x+2y = 2",
"23. x+7y = -1, 3x+21y = - 3",
"24. 2x - y = 3, x+2y = 14",
"25. 2x+8y = 7, 3x - 5y = 4",
"26. 2x+y = 1, - 3x+2y = 9",
"27. 2x - 4y = - 2, 3x+6y = 3",
"28. 2x - 2y = 12, - 2x+3y = 10",
"29. 3x - y = - 6, 2y = 4x+12",
"30. 3x - y = - 5, x+3y = 5",
"31. 3x+y = 11, 2x - 5y = 13",
"32. 3x+8y = 4, 12y+6x = - 1",
"33. 3x - 2y = 15, 2x+y = 10",
"34. 5x - 4y = 0, x = y-1",
"35. 5x - y = 12, 3x+2y = 15",
"36. 5x - 2y = 1, x - 5y = - 32",
"37. 7x - 2y - 19 = 0, 3x+5y+14 = 0",
"38. 9x - 3y = 1, 6x - 2y = - 5",
"39. 9/2 x - 4y = - 3, 4/3x - 1/2y = 7/6",
"40. 1/2x - 1/3y = 2, 3/4x+2/5y = - 1",
"41. x/5 +y/3 = 2, x/4 +y/3 = 2",
"42. 2/3x+8y = 6/7, 3/4x+9y =3",
"43. (sqrt 3)x - (sqrt 2)y = 2 sqrt 3, (2 sqrt 2)x+(sqrt 3)y = sqrt 2",
"44. (x - y)/4+(x+y)/3 = 1, (x+2y)/3+(3x - y)/2 = - 2",
"45. (x+y)/4 - (x - y)/3 = 1, (x+y)/4+(x - y)/2 = 9",
"46. (x+3)/2+(y - 4)/3 = 10/6, (x - 2)/3+(x - 2)/2 = 2",
""};

/*  6.17.13,  problems read from simprat1.mhw */
char *problems57[] = {
"1. (a^2b^2)/(ab) (a^3)/(ab^3)",
"2. (4x^2y)/(xy^3)/(33x^4/(x^2y^2))",
"3. (1-x^2)/(x^3-1)",
"4. x/(x-1)- 1/(x^2-x)",
"5. ((3x+9)/(2x)) (11x^2)/(x^2 - 9)",
"6. (x/(x+1) + 2/x) / (2/x+1 / (x+1))",
"7. x^2/(x+3) - 9/(x+3)",
"8. 3x/(x+2)-1/x",
"9. ((xy)^3 - 8) / (xy - 2)",
"10. (x - y) (3 - (2x - y) / (x - y))",
"11. (9x^2-4)/(6x-9x^2)",
"12. (xy-1)/(x^3 y^3 -1)",
"13. 1 /(x^2 - 1) - 2 / (x^2 - 2x+1)",
"14. x/(x^2+x - 2) - 3 / (x^2 - 5x+4)",
"15. (x+ 5/x)/(1+ 5/x^2)",
"16. (x/2-2/x)/(x/2+2/x)",
"17. 4/(5 (x - 1)(x - 2)^2) + x / (2(x - 1)^2 (x - 2))",
"18. (3x+8) / (x^2) - (2x - 1)/ x^3 - 12/(8x)",
"19. (2x+3)/(x-3) -(x-1)/(x+3)",
"20. 1/(x+1)^2 - 1/(x+1)^3",
"21. (2x) / (x+2) - 6/(x^2+2x) - 3/x",
"22. x/(2x+3) - 6/(2x^2+3x) -1/x",
"23. 1/x^2 + 4/x - 5/x^3",
"24. (1/x + 6/y)/(1/x^2 - 36/y^2)",
"25. 2y/(y+3) - 1/(y - 3) + y/(y^2 - 9)",
"26. 1/(x+1) + 3/(x+1)^2 + 1/(x^2 - 1)",
"27. ((3+x)/(4+x) -3/4)/x",
"28. 8/(x+1) -4/(x-1) (x^2-1)/(2x^3)",
"29. 3/(x+2) + 1/(x^2 - 4) +8/(x^2 - x - 2)",
"30. 10/(x+1 + x/(1 + 1/x))",
"31. (2/(x-3) +8/(x+3) x/(x-3)) (9-x^2)/14",
"32. (x+2)/(x^2 +8x-9) (2x+18)/(x^2-4)",
"33. ((x-y) / (x+2y)) / ((x-y) / (xy))^2",
"34. (y^2 / x^2 - 1) / (y / x + 1)",
"35. (x+4)/(x^2-x-2) (x-2)/(3x^2 -4x+1)",
"36. ( 2x^2/(x^2+3x+9))/((2x^3-18x)/(x^3-27))",
"37. ((x+1)/(x - 4)) / ((x+1)/(x+2) - x/(x - 4))",
"38. (9x - 1/x) / (3+1/x)",
"39. ((x-1)/(x^2-1) (2x+2)/(x^2-4))/((5x+5)/(x^2+4x+4))",
"40. ( 2/(x-2) +3)/(1/(x^3-8))",
"41. 5x / (x+1 /(5+4/x))",
"42. 3 - 2/(2-2/(2-2/(2-x)))",
"43. ((2x-1)/(3x+1) + 3x/(9x^2-1))/( 2/(3x-1) +2)",
"44. x/(4x-4) + 5/(x^2-1)",
"45. (x^2-1)/(3x) - 3x/(x^2-1) + 3/2",
"46. (x+4)/(x+1) - (x+2)/(x+3)",
"47. 1/(x+4) + 3/(x-4)-(3x+8)/(x^2-16)",
"48. 11/(x^2-4) +(x+3)/(2-x)-(2x-3)/(x+2)",
"49. (x+2)/(x+3) -(x^2)/(x^2-9)-(x-1)/(3-x)",
"50. 2x/(x+2) + 15/(x^2-7x+10) - 3/(x+5)",
""};

/*  6.17.13,  problems read from addfract.mhw */
char *problems58[] = {
"1. 1/2 + 1/3",
"2. 1/3 + 1/4",
"3. 1/4 + 1/5",
"4. 2/3 + 1/4",
"5. 2/3 + 3/4",
"6. 3/8 + 1/5",
"7. 2/7 + 1/9",
"8. 1/5 + 1/7",
"9. 1/4 + 1/10",
"10. 1/3 + 1/9",
"11. 1/6 + 1/3",
"12. 3/5 + 6/7",
"13. 2/7 - 1/9",
"14. 7/11 + 11/7",
"15. 1/10 + 1/100",
"16. 1/10 + 1/100 + 1/1000",
"17. 1/2 + 1/3 + 1/4",
"18. 1/3 + 1/4 + 1/5",
"19. 3/4 - 1/2 + 8/11",
"20. 1/2 + 1/4 + 1/8",
"21. 5/8 - 6/7 + 6/5",
"22. -4/5 + 5/4 +1",
"23. 3/4 - 2/3 + 1/2",
"24. 45/3 - 45/9 - (- 54/6)",
"25. 2/7 - 45/11 + 34/9",
"26. 5 + 1/10 + 3/100",
"27. 1 + 3/10+4/100+7/1000",
"28. 1/10+10(1/100)+100(1/1000)",
"29. (2/3)(- 5/8) +3/4",
"30. (2/3)(9/5) - (4/5)(10/8)",
"31. 2 (1/2) - 4 (1/4) + 5 (1/2)",
"32. 3/5 (- 2/3) + 1/2",
"33. 4 (3/8) - 10 (1/5)",
"34. 2 - 3 (1/3) + 4 (5/6)",
"35. 3 (- 1/2) - 2/3 - 5 (1/6)",
"36. 12 (3/8) - 5 (-1/4) + 7(1/2)",
"37. - 5(- 4/9) + 3(- 5/6)",
"38. 8 (1/3) - 6(1/2) - 3(5/6)",
"39. 2(5/6) - (1/5) (1/9) + (5/7) (1/7)",
"40. 1/2 + 2(1/4) + 4(1/8) +8(1/16)",
"41. 1/3 +3(1/6) - 6(1/12)",
"42. 7/8 - 3(1/4) - 2(1/16)",
"43. 21/7+21/3 - (1/2) (1/3)- 10",
"44. (- 3/4) - (2/3)^2",
"45. (- 2/5)^2 - 3/4",
"46. -3 +(2/3)(1/2)^2 - 3(1/6) (1/2)",
"47. 3 (- 1/2)^2 - 2(1/2) +11",
"48. 2 (- 1/4)^2 - 3(- 1/4) +6",
"49. 7/72 + 11 / 54",
"50. 4/63 - 5/42",
"51. 3/50 + 7/30",
""};

/*  6.17.13,  problems read from simpfrac.mhw */
char *problems59[] = {
"1. x^2/x^3",
"2. x^3/x^2",
"3. 3x^2/x^3",
"4. pi r^2/ (2 pi r)",
"5. x^2y/(yx^2)",
"6. x^2 y/(xy^2)",
"7. x^(k+1)/x",
"8. x^(k+1)/x^k",
"9. ((2x)/(5y))( (5y^2)/(8x^4))",
"10. ((20x)/(10y))( (15y)/(30x))",
"11. (x^2 + x)/x",
"12. (6-3x)/(x^2-4)",
"13. 10(x^2-1)/(x+1)",
"14. (x^2 + x - 2)/(x +2)",
"15. (x^2 + x)/(x + 1)",
"16. (x^2 -1)/(x+1)",
"17. (x^2 - 3x+ 2)/(x-1)",
"18. (x^2 - x - 2)/(x+1)",
"19. (x^3+y^3)(x^2-y^2)",
"20. (x-y)/(ax(y-x))",
"21. ((xy)^3-1)/(xy-1)",
"22. (x^3-y^3)/(x^2-y^2)",
"23. (x-y)(2-(2x-y)/(x-y))",
"24. (x^3-(x-1)3x^2)/x^6",
"25. (x^4-y^4)/(x-y)",
"26. (x^3-x^2+x-1)/(x-1)",
"27. (a^3+8)/(a^2-4)",
"28. (x+4)^2 x/(16-x^2)",
"29. (x^2-xy)/(xy+y^2)",
"30. (x^2-y^2)/(x^2+2xy+y^2)",
"31. (x^2-y^2)/(x^2-2xy+y^2)",
"32. ((x+1)^2-2x(x+1))/(x+1)^4",
"33. (x^2-4)/(x^2-4x-12)",
"34. (x^2-25)/(x^3-125)",
"35. (x^2-9)/(x^2+2x+1)",
"36. (x^3-3x^2+9x-27)/(x^4-81)",
"37. (t^2+t+1)/(t^3-1)",
"38. (x^2+4x+4)/(x^2-4)",
"39. (10+3x-x^2)/(x^4+2x^3)",
"40. (6x^2-5x-6)/(2x^2-3x)",
"41. (x^2+4x+4)/(2x+x^2)",
"42. x(x^2-x-6)/(x^2+2x)",
"43. (3x^2+6x-24)/(3x^2+4x)",
"44. (9x^2-4)/(27x^4+8x)",
"45. (6x^2-7x-5)/(4x^2+4x+1)",
"46. (x^2-2x-15)/(x^3-3x^2-10x)",
"47. ((2-x)/(2x+x^2)) ((x^2+4x+4)/(x^2-4))",
"48. ((x^3-y^3)/(x-y)^3) ((x^2-2xy+y^2)/(x^2+xy+y^2))",
"49. ((2x^2-7x+6)/(x^2-x-6)) ((5x-15)/(x^2-4))",
"50. ((2x^2-2ax+2a^2)/(ax)^3) (ax^3/(a^3+x^3))",
""};

/*  6.17.13,  problems read from numfract.mhw */
char *problems60[] = {
"1. (3+3/5)/(5-1/8)",
"2. (2/3-1/2)/(1/8+2/5)",
"3. (1/2)/(2/3-1/2)",
"4. (3/5-1/2)/(7/10 +2)",
"5. (4-2/3)/(2/5-6)",
"6. (1/8)/(-1/4)^3",
"7. (1/3+1/9)/(1/9)",
"8. (1/2-1/4)/(3(3/4)+2/3)",
"9. (4-2(1/2)(3/5))/(3(1/3)-1/3)",
"10. (3(2/15)-2/5)/(1/3-2(1/5))",
"11. (2+5/7)/(3-2/7)",
"12. (1/2 - 1/4)/ (5/8 + 3/4)",
"13. (3/8 + 3/4)/(5/8 - 7/12)",
"14. (3/28 - 5/14)/(5/7 + 1/4)",
"15. (5/9 + 7/36)/(3/18 - 5/12)",
"16. (3 + 1/4) / (5 - 2/5)",
"17. (2+5/7)/(3-2/7)",
"18. (1/2 - 1/4)/ (5/8 + 3/4)",
"19. (5/18+11/12) / (7/6 - 2/9)",
"20. (3/8 + 1/4)/(5/8 + 7/12)",
"21. (3/28 + 5/14)/(5/7 + 1/4)",
"22. (1/9 + 7/36)/(3/18 - 3/12)",
"23. (1/2 - 1/4) / (2 - 4)",
"24. 1 / (1/2+1/5)",
"25. (3/2)/(1/(3/2)+4) + 1",
"26. (1/16 - 1/3^2) / (3+4)",
"27. (1 - 1/3^2) / ((3 - 1)/3)",
"28. (5/2 + 7/2^2)/(5/3 + 1/3^2)",
"29. 7/3 - 2/7 + 3 (3/7^2)",
"30. (1 / (1/4 - 3) - 1/3) / (1/4)",
"31. [1/3-2/(1/3+1)]/[1/3+(1/3-3)/(1/3+1)]",
"32. (1 / (2/3+2) - 3) / (4/(2/3) - 2/3)",
"33. (1/(5/2)+1/(2/3)) / (1 / (5/2+2/3))",
"34. (1/3+1/5) / (1/3^2 - 1/5^2)",
"35. 6/(1/7) - 3/(2(1/7)^2)",
"36. (3/5) / (3/5 - 2 / (3 - 1/(3/5)))",
"37. (1/3+1/11) / (1/(33))",
"38. ((1/2)/(1/7)^2 + (1/7) / (1/2)^2) / (1 / (1/7)^2 - 1/(1/2)^2)",
"39. (3/(2(1/5)-1) - 1/(1+2(1/5))) /( (5-4(1/5))/(1-4(1/5)^2))",
"40. (2/(1/3) - 2/(1/3+2))/(3/((1/3)^2+2(1/3)) - 3/(1/3))",
"41. 1/2 - (3/7) / ((1/2)/(3/7) + (3/7)/(1/2))",
"42. (5 / (3/5+1) + (2(3/5)) / (3/5+3)) / ((3/5) / (3/5+1) - 7 / (3/5+3))",
"43. (1/(2/3-3/5) - 3/(2/3+3/5))/(3/(2/3+3/5) + 1/((2/3)^2-(3/5)^2))",
"44. 1 / (7/8+1/(7/8) - (7/8) / (1 - 1/(7/8)))",
"45. (1+1/(5/8+4)) / ((5/8+5) / ((5/8)^2 - 16))",
"46. 1+1 / (1+1/(1+3/5))",
"47. 1 - 1/(1 - 1/(1 - 1/(7/5)))",
"48. (2+1/(2 - 1/2)) / (1 - 2/(2-1/2))",
"49. (3/(3/7)+(3/7)/3+1) / ((3/7+1)/3+(3/7+1)/(3/7))",
"50. (1/2+1/3+1/5) / (1/(6)+1/(15))",
"51. (3 + 1/4) / (5 - 2/5)",
"52. (2+5/7)/(3-2/7)",
"53. (1/2 - 1/4)/ (5/8 + 3/4)",
"54. (5/18+11/12) / (7/6 - 2/9)",
"55. (3/8 + 1/4)/(5/8 + 7/12)",
"56. (3/28 + 5/14)/(5/7 + 1/4)",
"57. (1/9 + 7/36)/(3/18 - 3/12)",
""};