ulate l.
-1268, -2
Let b**4/3 + b**3/3 - 20*b**2/3 = 0. Calculate b.
-5, 0, 4
Let 505*h**3/8 + 3029*h**2/8 + 4539*h/8 - 9/8 = 0. What is h?
-3, 1/505
Factor -2*m**3 + 330*m**2 + 666*m + 334.
-2*(m - 167)*(m + 1)**2
Factor -11*t**4/2 + 17*t**3 - 18*t**2 + 7*t - 1/2.
-(t - 1)**3*(11*t - 1)/2
Factor 45*r**3 + 160*r**2 + 165*r + 50.
5*(r + 1)*(r + 2)*(9*r + 5)
Find s such that -2*s**3/3 - 46*s**2/3 = 0.
-23, 0
Factor -5*a**2 - 350*a + 720.
-5*(a - 2)*(a + 72)
Factor -2*p**2/9 - 216*p + 1946/9.
-2*(p - 1)*(p + 973)/9
Factor 3*i**2 - 96*i + 261.
3*(i - 29)*(i - 3)
Factor h**2/6 - 37*h/2.
h*(h - 111)/6
Determine s, given that s**4/2 + 17*s**3/2 + 65*s**2/2 - 17*s/2 - 33 = 0.
-11, -6, -1, 1
Determine k, given that k**2/4 + 231*k/2 + 53361/4 = 0.
-231
Let s**4/2 + 7*s**3/2 + 11*s**2/2 - 7*s/2 - 6 = 0. Calculate s.
-4, -3, -1, 1
Factor -3*m**3/2 + 137*m**2 - 542*m/3 + 60.
-(m - 90)*(3*m - 2)**2/6
Determine b so that 4*b**5/3 - 124*b**4/3 + 68*b**3 + 796*b**2/3 + 464*b/3 = 0.
-1, 0, 4, 29
Determine a, given that 4*a**4/3 + 40*a**3/3 + 32*a**2 - 40*a/3 - 100/3 = 0.
-5, -1, 1
Determine q so that 294*q**3 - 1178*q**2 + 1184*q - 8 = 0.
1/147, 2
Factor o**5 + 26*o**4 + 24*o**3 - 26*o**2 - 25*o.
o*(o - 1)*(o + 1)**2*(o + 25)
Find l such that -l**2 + 4 = 0.
-2, 2
Find n such that 6*n**4/7 - 423*n**3/7 + 1080*n**2 - 525*n = 0.
0, 1/2, 35
Determine n, given that n**5/5 - 6*n**4/5 + 9*n**3/5 + 4*n**2/5 - 12*n/5 = 0.
-1, 0, 2, 3
What is d in -4*d**5 - 4*d**4 + 36*d**3 + 20*d**2 - 64*d - 48 = 0?
-3, -1, 2
Suppose -15*w**5 + 1375*w**4 - 8680*w**3 + 15380*w**2 - 6800*w = 0. What is w?
0, 2/3, 2, 4, 85
Factor 2*y**4/11 - 690*y**3/11 + 59166*y**2/11 + 59858*y/11.
2*y*(y - 173)**2*(y + 1)/11
Determine i, given that 5*i**5/4 - 137*i**4/4 - 373*i**3/2 + 80*i**2 = 0.
-5, 0, 2/5, 32
Factor 2*p**3/17 + 130*p**2/17 + 1294*p/17 + 1166/17.
2*(p + 1)*(p + 11)*(p + 53)/17
Determine p so that 3*p**2 - 522*p + 22707 = 0.
87
Let -21*r**5 + 13*r**4 + 293*r**3/4 - 289*r**2/4 + 4*r + 3 = 0. Calculate r.
-2, -1/6, 2/7, 1, 3/2
Determine n so that n**4 - 36*n**3 - 157*n**2 - 120*n = 0.
-3, -1, 0, 40
Solve y**5/2 + 29*y**4 + 594*y**3 + 4860*y**2 + 11664*y = 0.
-18, -4, 0
Let g**3 - 40*g**2 - 83*g - 42 = 0. Calculate g.
-1, 42
Let u**5/6 - 47*u**4/3 + 841*u**3/6 + 30700*u**2/3 + 303968*u/3 + 891136/3 = 0. Calculate u.
-8, 59
Let 3*j**2/4 - 57*j + 111 = 0. What is j?
2, 74
Determine y so that 4*y**4/5 - 24*y**3/5 + 128*y/5 = 0.
-2, 0, 4
Factor 3*y**4/5 - 15*y**2.
3*y**2*(y - 5)*(y + 5)/5
Solve d**2/3 + 152*d/3 + 5776/3 = 0.
-76
Let 4*g**5 - 167*g**4/7 - 52*g**3 - 115*g**2/7 + 54*g/7 = 0. Calculate g.
-1, 0, 1/4, 54/7
Factor 4*u**2 + 192*u + 188.
4*(u + 1)*(u + 47)
Factor 5*c**3 + 4050*c**2 - 16260*c + 16280.
5*(c - 2)**2*(c + 814)
Let 2*b**4 - 4*b**3 - 26*b**2 + 28*b + 48 = 0. What is b?
-3, -1, 2, 4
Factor 5*n**2 - 24020*n - 24025.
5*(n - 4805)*(n + 1)
Find t, given that t**2/2 + 193*t/2 - 394 = 0.
-197, 4
Factor c**2/3 + 31*c/3 + 130/3.
(c + 5)*(c + 26)/3
Factor -3*f**3 + 3*f**2.
-3*f**2*(f - 1)
Factor i**4/5 - 6*i**3/5 + 13*i**2/5 - 12*i/5 + 4/5.
(i - 2)**2*(i - 1)**2/5
Factor -2*p**4 + 30*p**3 - 108*p**2 - 216*p + 1296.
-2*(p - 6)**3*(p + 3)
Factor -h**2/8 + 219*h - 95922.
-(h - 876)**2/8
Let -5*v**2 - 12700*v - 8064500 = 0. What is v?
-1270
Factor o**5 + 12*o**4 + 38*o**3 - 16*o**2 - 135*o + 100.
(o - 1)**2*(o + 4)*(o + 5)**2
Let -8*z**5 + 76*z**4 - 252*z**3 + 356*z**2 - 220*z + 48 = 0. What is z?
1/2, 1, 3, 4
Let -3*h**5 - 321*h**4 + 1671*h**3 - 1035*h**2 - 3024*h = 0. Calculate h.
-112, -1, 0, 3
Factor 5*a**5 - 30*a**4 + 55*a**3 - 30*a**2.
5*a**2*(a - 3)*(a - 2)*(a - 1)
Suppose -6*f**4/11 + 34*f**3/11 - 62*f**2/11 + 46*f/11 - 12/11 = 0. What is f?
2/3, 1, 3
Let -2*j**4 + 18*j**3 - 8*j**2 - 72*j + 64 = 0. Calculate j.
-2, 1, 2, 8
Factor 4*z**5 - 88*z**4 - 188*z**3 - 96*z**2.
4*z**2*(z - 24)*(z + 1)**2
Find l, given that -2*l**2/7 + 260*l/7 + 528/7 = 0.
-2, 132
Factor -2*x**4 - 29*x**3 - 39*x**2 + x + 13.
-(x + 1)**2*(x + 13)*(2*x - 1)
Factor 3*y**5 - 7*y**4/2 - 17*y**3/2 + 33*y**2/2 - 17*y/2 + 1.
(y - 1)**3*(y + 2)*(6*y - 1)/2
What is i in i**4 + 7*i**3 - i**2 - 7*i = 0?
-7, -1, 0, 1
Suppose -2*f**5 - 46*f**4 + 1412*f**3 - 2624*f**2 = 0. Calculate f.
-41, 0, 2, 16
Factor 2*f**3/5 - 206*f**2/5 + 5406*f/5 - 5202/5.
2*(f - 51)**2*(f - 1)/5
Find w such that 25*w**3/2 - 10*w**2 + 2*w = 0.
0, 2/5
What is o in -98*o**5/5 + 19544*o**4/5 + 31086*o**3/5 - 26428*o**2/5 - 20888*o/5 - 3216/5 = 0?
-2, -2/7, 1, 201
Factor 6*n**2/5 - 4*n/5.
2*n*(3*n - 2)/5
Suppose -u**2 + 62*u + 128 = 0. Calculate u.
-2, 64
Determine m so that 4*m**3 + 48*m**2 + 140*m + 96 = 0.
-8, -3, -1
Suppose 5*h**4 + 160*h**3 - 5*h**2 - 160*h = 0. What is h?
-32, -1, 0, 1
Find r such that 2*r**5/3 + 141*r**4 + 24934*r**3/3 + 87285*r**2 - 45738*r = 0.
-99, -14, 0, 1/2
Factor -2*u**2/23 + 440*u/23 - 24200/23.
-2*(u - 110)**2/23
What is d in -d**5 - 35*d**4 - 378*d**3 - 1206*d**2 - 405*d + 2025 = 0?
-15, -3, 1
Solve -r**2/4 - 19*r/2 - 345/4 = 0.
-23, -15
Factor -2*j**4/7 + 48*j**3/7 - 330*j**2/7 + 484*j/7.
-2*j*(j - 11)**2*(j - 2)/7
Factor r**3/2 - 43*r**2/2 - 68*r - 46.
(r - 46)*(r + 1)*(r + 2)/2
Suppose 51*f**4/2 + 48*f**3 - 210*f**2 + 24*f = 0. What is f?
-4, 0, 2/17, 2
Factor 2*s**4/5 - 34*s**3/5 + 192*s**2/5 - 416*s/5 + 256/5.
2*(s - 8)*(s - 4)**2*(s - 1)/5
What is a in 17*a**5/8 - 35*a**4/4 - 47*a**3/4 + 10*a**2 + 77*a/8 - 5/4 = 0?
-1, 2/17, 1, 5
Factor 2*o**2/3 + 38*o/3 - 340.
2*(o - 15)*(o + 34)/3
Factor -2*d**4 - 10*d**3 - 16*d**2 - 8*d.
-2*d*(d + 1)*(d + 2)**2
Solve 10*c**4/17 - 106*c**3/17 + 216*c**2/17 - 56*c/17 - 64/17 = 0.
-2/5, 1, 2, 8
Let -2*a**2/9 + 3724*a/9 - 1733522/9 = 0. Calculate a.
931
Factor -7*o**4/2 + 33*o**3/2 + 5*o**2.
-o**2*(o - 5)*(7*o + 2)/2
Factor -n**4/3 + 5*n**3/3 + n**2/3 - 5*n/3.
-n*(n - 5)*(n - 1)*(n + 1)/3
Solve -14*t**3 + 18*t**2 - 4*t = 0.
0, 2/7, 1
Let 2*m**5 + 23*m**4/3 - 54*m**3 + 93*m**2 - 194*m/3 + 16 = 0. Calculate m.
-8, 2/3, 1, 3/2
Solve -2*g**4 + 140*g**3 - 2586*g**2 + 4760*g - 2312 = 0.
1, 34
Determine t, given that t**4 - 6*t**3 - t**2 + 6*t = 0.
-1, 0, 1, 6
Let 12*f**4 - 8*f**3 - 28*f**2 - 8*f = 0. What is f?
-1, -1/3, 0, 2
Suppose s**3 - 127*s**2 - 1381*s + 1507 = 0. Calculate s.
-11, 1, 137
Determine c so that -c**4/2 - 4*c**3 - c**2 + 16*c - 21/2 = 0.
-7, -3, 1
Find l such that -l**4 + 20*l**3 + 300*l**2 = 0.
-10, 0, 30
Determine j so that -2*j**5/3 + 44*j**4/3 + 46*j**3/3 = 0.
-1, 0, 23
Let -15*f**2 - 57*f - 42 = 0. Calculate f.
-14/5, -1
Find u, given that -u**2/4 + 10*u - 39/4 = 0.
1, 39
Solve 2*o**4/3 - 56*o**3/3 + 196*o**2 - 2744*o/3 + 4802/3 = 0.
7
Find y such that -2*y**4/13 - 68*y**3/13 - 630*y**2/13 - 1444*y/13 - 880/13 = 0.
-20, -11, -2, -1
Find h, given that 4*h**2 - 8640*h + 4665600 = 0.
1080
Let -2*j**3/7 + 22*j**2/7 - 36*j/7 = 0. What is j?
0, 2, 9
Solve 18*m**2 + 1166*m - 260 = 0 for m.
-65, 2/9
Find m, given that -3*m**4 + 480*m**3 - 18216*m**2 - 78720*m - 80688 = 0.
-2, 82
Factor -u**4/6 - 75*u**3.
-u**3*(u + 450)/6
Find o, given that 3*o**4/2 - 36*o**3 - 237*o**2 + 576*o - 609/2 = 0.
-7, 1, 29
Factor 4*n**3 + 36*n**2 - 160*n - 192.
4*(n - 4)*(n + 1)*(n + 12)
Determine s so that -3*s**4/5 + 52*s**3/5 + 153*s**2/5 + 138*s/5 + 8 = 0.
-1, -2/3, 20
Let h**2/2 + 307*h/2 = 0. Calculate h.
-307, 0
Factor 3*c**2 + 1740*c + 252300.
3*(c + 290)**2
Solve -6*c**4 + 256*c**3/3 - 254*c**2/3 - 424*c/3 + 104/3 = 0.
-1, 2/9, 2, 13
Solve -32*n**5/7 - 220*n**4/7 - 60*n**3 - 200*n**2/7 + 32*n/7 = 0 for n.
-4, -2, -1, 0, 1/8
Determine a, given that -2*a**3/11 + 30*a**2/11 + 1952*a/11 + 1920/11 = 0.
-24, -1, 40
Factor o**3/6 - o**2/6 - 37*o/6 - 35/6.
(o - 7)*(o + 1)*(o + 5)/6
Solve m**5/6 - m**4/6 - 5*m**3/3 - 4*m**2/3 = 0 for m.
-2, -1, 0, 4
Factor 3*a**3 + 63*a**2 + 114*a.
3*a*(a + 2)*(a + 19)
Factor -2*q**2 - 270*q.
-2*q*(q + 135)
Factor r**3 + 5916*r**2 + 11666352*r + 7668682048.
(r + 1972)**3
Factor 2*z**3/7 + 76*z**2/7 - 1600*z/7 + 6912/7.
2*(z - 8)**2*(z + 54)/7
Let -s**5/2 - 9*s**4 - 119*s**3/2 - 177*s**2 - 234*s - 108 = 0. Calculate s.
-6, -3, -2, -1
Suppose 891*f**3/8 - 279*f**2/8 + 29*f/8 - 1/8 = 0. What is f?
1/11, 1/9
Suppose 2*b**5/5 + 112*b**4/15 + 78*b**3/5 - 136*b**2/5 - 184*b/3 - 128/5 = 0. What is b?
-16, -3, -1, -2/3, 2
Factor 2*y**5/7 + 10*y**4/7 + 16*y**3/7 