**3 - 5*t**2 + 29*t + 31*t = 0.
-2, -1/3, 2
Let k be (-18)/(10/(-15)*-3). Let l be 36/6*(-3)/k. Solve -80*n**l + 0*n**5 - 85*n**3 + 14*n**5 + 16*n**5 + 5*n**4 - 20*n = 0 for n.
-1, -2/3, -1/2, 0, 2
Let u(w) be the second derivative of -5/2*w**2 - 31*w - 5/3*w**3 - 5/12*w**4 + 0. Factor u(f).
-5*(f + 1)**2
Let h(j) be the second derivative of 1/510*j**5 + 7/2*j**2 + 1/34*j**4 + 3/17*j**3 - 4*j + 0. Let y(i) be the first derivative of h(i). Factor y(b).
2*(b + 3)**2/17
Let o be (6*(-1)/4)/(2/4). Let x be (4 - (2 + o)) + -20 + 18. Factor -3/7*q**x + 3/7*q**2 + 0*q + 0.
-3*q**2*(q - 1)/7
Let j be -16 - -14 - (384/(-45) - 14/105). Find n, given that -20/3*n**4 - 5/3*n - j*n**2 - 5/3*n**5 + 0 - 10*n**3 = 0.
-1, 0
Let p be 1/5 + ((-23)/460)/((-1)/(-4)). Let 0*b + p - 4/3*b**2 - 10/3*b**3 - 8/3*b**4 - 2/3*b**5 = 0. What is b?
-2, -1, 0
Let a(d) = 2*d**2 - 2*d. Let p be (5 - 1)*15/10. Let i(b) = -3*b + 0 + 0 + p*b**2 - b**2. Let f(u) = 7*a(u) - 4*i(u). Let f(n) = 0. What is n?
-1/3, 0
Let h = -33 + 36. Determine n, given that n**3 + n**3 - 2*n**4 - n**5 + 4*n**h + 4*n**2 - 2*n**5 - 3*n - 2 = 0.
-1, -2/3, 1
Let q(b) = 27*b**3 - 35*b**2 - 51*b + 21. Let y(t) = -4*t - 11 + 29*t + 17*t**2 + 0 - 13*t**3. Let h(n) = 3*q(n) + 5*y(n). Solve h(a) = 0.
-1, 1/4, 2
Let i = 81 + -77. Find u, given that -2*u**2 - 2*u**4 - 4*u**4 - 2*u**3 - 27*u + 29*u + 8*u**i = 0.
-1, 0, 1
Let q = 79 + -74. Let g be q - ((-174)/(-18) - 5). Factor 0*v + 0 + 0*v**3 + g*v**2 - 1/3*v**4.
-v**2*(v - 1)*(v + 1)/3
Factor 2/9*r**2 + 72 + 8*r.
2*(r + 18)**2/9
Let l be 6/21*28/2. Factor 4*b**5 + 107*b**4 - 2*b - 2*b - 115*b**l + 8*b**2.
4*b*(b - 1)**3*(b + 1)
Suppose h + 18 = 7*h. Factor -2*a**2 - a**2 + 12*a**3 - 17*a**h - 2*a**2.
-5*a**2*(a + 1)
Let o(q) be the third derivative of -q**8/2184 - 2*q**7/273 - 11*q**6/260 - 4*q**5/39 - 4*q**4/39 + 245*q**2. Solve o(h) = 0 for h.
-4, -1, 0
Let c(r) be the second derivative of -r**8/10080 - r**7/1260 - r**6/540 - r**4 + 15*r. Let d(f) be the third derivative of c(f). Factor d(l).
-2*l*(l + 1)*(l + 2)/3
Let k(x) be the first derivative of -375/2*x**2 + 25*x**3 - 5/4*x**4 + 625*x - 22. Determine g, given that k(g) = 0.
5
Factor 1521*l**2 + 27/4 - 351/2*l - 4394*l**3.
-(26*l - 3)**3/4
Let j(w) = -2*w**4 - 10*w**3 + 9*w**2. Let i(l) = l**3 - l**2. Let h(t) = 28*i(t) + 4*j(t). Factor h(y).
-4*y**2*(y + 2)*(2*y - 1)
Let x = -40432/45 - -4493/5. Let 5/9 - 5/9*u**2 + 1/9*u**3 - x*u = 0. What is u?
-1, 1, 5
Let z be ((-4)/6)/((-6)/72*4). Suppose -j + 3 = -0*j. Factor u**2 - u - 2 + 9*u**2 - 6*u**z + 3*u**j.
(u + 1)**2*(3*u - 2)
Let y(f) be the second derivative of f**7/840 - f**3 - 6*f. Let k(o) be the second derivative of y(o). Determine l so that k(l) = 0.
0
Let m(i) be the third derivative of -13*i**6/1800 + 7*i**5/150 - i**4/30 + 5*i**3/6 - 12*i**2. Let t(k) be the first derivative of m(k). Solve t(q) = 0.
2/13, 2
Let o(y) = -42*y**3 + 645*y**2 + 448*y + 75. Let g(s) = -545*s**3 + 8385*s**2 + 5825*s + 975. Let a(b) = -3*g(b) + 40*o(b). Factor a(u).
-5*(u - 15)*(3*u + 1)**2
Let z be (42/294)/((-10)/(-140)). What is d in -11/4*d + 1/4*d**5 + 5/4 + 1/2*d**z - 7/4*d**4 + 5/2*d**3 = 0?
-1, 1, 5
Let t(w) be the second derivative of w**5/50 - w**4/15 - 3*w**3/5 + 18*w**2/5 - 124*w. Determine f so that t(f) = 0.
-3, 2, 3
Let q be (-2585)/(-1175) - (12/(-15) - 1). Solve 51/2*d**3 + 3 - 9*d**5 - 9/2*d**2 + 15/2*d**q - 21/2*d = 0.
-1, 1/3, 1/2, 2
Let t(k) = 15*k**3 + 70*k**2 - 255*k - 720. Let x(p) = -22*p**3 - 105*p**2 + 383*p + 1080. Let o(y) = -7*t(y) - 5*x(y). Factor o(r).
5*(r - 4)*(r + 2)*(r + 9)
Let i(a) = a**2 - 2. Let u(t) = 35*t**2 - 285*t + 1920. Let j(x) = 20*i(x) - u(x). Let b(d) = -8*d**2 + 143*d - 980. Let h(l) = 5*b(l) - 3*j(l). Factor h(w).
5*(w - 14)**2
Factor 5780 - 136*g + 4/5*g**2.
4*(g - 85)**2/5
Let 3/2*q + 0 - 2*q**2 - q**3 - 1/2*q**5 + 2*q**4 = 0. What is q?
-1, 0, 1, 3
Let z = -59 - -71. Let m be (-30)/108*(-1)/(15/z). Solve -8/9*r + m*r**2 + 8/9 = 0 for r.
2
Let p(m) be the first derivative of 7*m**6/12 - 197*m**5/30 + 355*m**4/24 - 5*m**3/6 - 34*m**2/3 - 14*m/3 - 11. Suppose p(f) = 0. Calculate f.
-1/3, -2/7, 1, 2, 7
Let u be (4/(-12))/(2/(-18)). Determine y, given that -810*y**2 + y**5 - 99*y**3 - 45*y**4 + 1215*y + 262*y**u + 2*y**5 + 107*y**3 - 729 = 0.
3
Let d(a) = a**4 + a**2 + a - 1. Let t(h) = -4*h**4 + 33*h**3 - 256*h**2 - 360*h + 581. Let r(y) = 15*d(y) + 5*t(y). Factor r(c).
-5*(c - 17)**2*(c - 1)*(c + 2)
Let m(c) be the first derivative of -2 - 16*c - 4/3*c**3 - 3*c**4 + 16*c**2. Determine p, given that m(p) = 0.
-2, 2/3, 1
Let g = 12793/38406 - -3/12802. Solve 2/3*x**4 + 1/3*x**5 - 2/3*x**2 - g*x + 0 + 0*x**3 = 0.
-1, 0, 1
Let g(q) = -2*q**2 - 29*q + 19. Let s be g(-15). Factor n**2 + 7*n**3 + 5*n**3 - 10*n**3 + n**s.
n**2*(n + 1)**2
Let k be (-1 + -2)/(3 - 4). Let u be k - 12/(-3 - -7). Suppose 5*s - 9*s**3 + 20*s**2 - s**3 - 10 + u*s**3 - 5*s**3 = 0. What is s?
-2/3, 1
Suppose 0 = 5*j + 20, -3*n + 17 = -3*j - 562. Let y = n + -187. Factor 0*z - 1/4*z**5 + 0*z**4 + 0*z**y + z**3 + 0.
-z**3*(z - 2)*(z + 2)/4
Let u(x) be the second derivative of x**4/36 - 5*x**3/3 + 75*x**2/2 + 734*x. Let u(m) = 0. Calculate m.
15
Let a(l) = l**3 + 7*l**2 - 7*l + 5. Let s(j) = -3 - 8*j**2 - 3 - j**3 + 0*j**3 + 8*j. Let w(p) = -7*a(p) - 6*s(p). Factor w(i).
-(i - 1)*(i + 1)**2
Let t be (-6)/(-14) + (-119)/49. Let c be (t/2)/(9/(-27)). Solve u - 1 + 2*u + 0*u + 3*u**2 - c*u**3 - 2 = 0 for u.
-1, 1
Let l = 10 + -8. Suppose -21 = -r - l*r. Factor 8*k**3 - r*k**3 - 6*k**2 - 8 + 12*k + 0*k**2.
(k - 2)**3
Let a be 8/(-12) - (-70)/24. Let w be -6 + (-39)/(-4) + -3. Suppose w*k**3 + 9/4*k - 3/4 - a*k**2 = 0. What is k?
1
Suppose 12*k - 4*k = 32. Determine b, given that -2*b**2 + 5 + k*b - 8 + 1 = 0.
1
Let f(k) be the second derivative of 7*k**4/78 + 66*k**3/13 + 56*k**2/13 - 51*k + 2. Determine j so that f(j) = 0.
-28, -2/7
Let l(g) be the first derivative of g**7/252 - g**5/60 + g**3/36 + 22*g + 19. Let s(t) be the first derivative of l(t). Factor s(w).
w*(w - 1)**2*(w + 1)**2/6
Let p(q) be the first derivative of -q**6/120 + q**5/60 + 5*q**4/24 + q**3/2 + 11*q**2/2 + 10. Let a(s) be the second derivative of p(s). Factor a(f).
-(f - 3)*(f + 1)**2
Let u = 60 + -58. Factor -u*t**2 - 3*t**5 + 2*t**5 + 3*t**4 + 2*t**3 + 1 + 3*t**4 - 5*t**4 - t.
-(t - 1)**3*(t + 1)**2
Let c(o) be the third derivative of -1/180*o**6 - 7*o**2 - 1/180*o**5 + 0*o**4 + 0 + 0*o**3 + 0*o - 1/630*o**7. Solve c(r) = 0.
-1, 0
Let a = -10314/11 + 938. Suppose 2/11*x**2 - 6/11*x + a = 0. What is x?
1, 2
Let m = -21 - -25. Suppose -3*k - m*d = -k + 16, -25 = -5*k + 3*d. Determine o so that 119*o**2 - 3*o**3 - o**3 - o**3 - 129*o**k - 5*o = 0.
-1, 0
Let o(c) = 2*c - 2. Let a(t) = 2*t**2 - 32*t - 12. Let j(b) = 2*a(b) + 20*o(b). Solve j(i) = 0 for i.
-2, 8
Find w, given that -111 + 3*w**3 + 918*w**2 - 1700*w**2 + 893*w**2 - 3*w = 0.
-37, -1, 1
Factor -24/5*y**2 - 1/5*y**4 + 32/5 + 4/5*y - 11/5*y**3.
-(y - 1)*(y + 2)**2*(y + 8)/5
Let a(j) be the second derivative of 121*j**7/126 - 275*j**6/18 + 1413*j**5/20 - 3949*j**4/36 + 524*j**3/9 - 14*j**2 - 411*j. Let a(q) = 0. Calculate q.
2/11, 1, 3, 7
Suppose -3*g - b = -4, -3*b = -2*g + 4 + 6. Factor 11 - 31 - t**g + 6*t**2.
5*(t - 2)*(t + 2)
Let g(a) = 23*a**3 - 335*a**2 + 1296*a + 190. Let r(k) = -116*k**3 + 1676*k**2 - 6480*k - 949. Let q(f) = 11*g(f) + 2*r(f). Factor q(x).
3*(x - 8)**2*(7*x + 1)
Suppose -1/4*j**2 - 89/2*j - 7921/4 = 0. Calculate j.
-89
Suppose 7 = 6*z - 11. Let k(y) be the second derivative of 0*y**4 - z*y + 0*y**2 - 1/84*y**7 + 1/20*y**5 + 0*y**6 + 0 - 1/12*y**3. Factor k(t).
-t*(t - 1)**2*(t + 1)**2/2
Suppose -2*x + 21 = 11. Let l(o) be the first derivative of -x + 1/3*o**3 + 1/4*o + 1/2*o**2. Suppose l(w) = 0. What is w?
-1/2
Let s be (-65)/(-52)*(-96)/(-90). Let -64/3*f**2 - 32/3*f - s = 0. What is f?
-1/4
Let a(y) = -5*y**2 + 4*y + 4. Let m be a(-2). Let i = 172/7 + m. Factor 0 - 2/7*u**2 + i*u.
-2*u*(u - 2)/7
Let r be 0/1 + 346/(-12). Let k = r + 29. Determine t, given that -2/3*t**2 + 5/6*t - k = 0.
1/4, 1
Let l(o) be the second derivative of o**6/18 - o**5/6 - 5*o**4/12 + 20*o**3/9 - 10*o**2/3 - 11*o + 10. Factor l(b).
5*(b - 2)*(b - 1)**2*(b + 2)/3
Let l = 2871 + -2867. Factor 3/8*a**l + 3/8*a**2 - 3/4 - 9/