olve 2*n**5 + 30*n**4 + 90*n**3 + 10*n**2 - 132*n = 0 for n.
-11, -3, -2, 0, 1
Factor m**2 - 336*m - 676.
(m - 338)*(m + 2)
Factor 3*t**5 + 6*t**4 - 72*t**3 - 54*t**2 + 405*t.
3*t*(t - 3)**2*(t + 3)*(t + 5)
Suppose 3*s**2 + 327*s = 0. What is s?
-109, 0
Solve -2*i**2/5 + 18*i/5 - 8 = 0.
4, 5
Find b such that -2*b**2/15 - 82*b/5 = 0.
-123, 0
Suppose -2*p**3 - 18*p**2 + 80*p + 96 = 0. Calculate p.
-12, -1, 4
Determine h so that -12*h**4 - 844*h**3 + 568*h**2 = 0.
-71, 0, 2/3
Suppose t**2 - 405*t = 0. Calculate t.
0, 405
Factor 5*d**3 - 25*d**2 - 285*d - 495.
5*(d - 11)*(d + 3)**2
Let -2*m**4/15 - 412*m**3/15 + 138*m**2/5 = 0. Calculate m.
-207, 0, 1
Factor -3*u**3 + 24*u**2 - 60*u + 48.
-3*(u - 4)*(u - 2)**2
Determine t so that 4*t**4 - 72*t**3 + 324*t**2 - 448*t + 192 = 0.
1, 4, 12
Factor 5*c**2 - 810*c + 3160.
5*(c - 158)*(c - 4)
Let 4*q**4 + 8*q**3 - 48*q**2 - 160*q - 128 = 0. Calculate q.
-2, 4
Find w, given that 14*w**2/3 + 80*w/3 - 8 = 0.
-6, 2/7
Factor 35*w**4 + 25*w**3 - 570*w**2 + 860*w - 200.
5*(w - 2)**2*(w + 5)*(7*w - 2)
Let 2*j**3/7 + 22*j**2/7 - 24*j/7 = 0. What is j?
-12, 0, 1
Determine y so that -18*y**5/7 + 536*y**4/7 - 402*y**3/7 - 116*y**2/7 = 0.
-2/9, 0, 1, 29
Find i such that 32*i**5/15 + 16*i**4/15 - 94*i**3/15 + 16*i**2/15 + 26*i/15 + 4/15 = 0.
-2, -1/4, 1
Factor 16*r**3 + 2676*r**2 + 3324*r + 664.
4*(r + 1)*(r + 166)*(4*r + 1)
Let 2*z**4/5 - 88*z**3/15 + 64*z**2/3 - 416*z/15 + 32/3 = 0. Calculate z.
2/3, 2, 10
Solve -3*i**5/4 - 3*i**4/4 + 15*i**3/2 + 15*i**2/2 - 27*i/4 - 27/4 = 0.
-3, -1, 1, 3
Factor a**3 - 12*a**2 - 81*a - 68.
(a - 17)*(a + 1)*(a + 4)
Factor -44*k**2 + 52*k - 8.
-4*(k - 1)*(11*k - 2)
Factor -m**2 + 5*m.
-m*(m - 5)
Find g such that -4*g**2 + 25056*g = 0.
0, 6264
Factor 5*b**3 + 20*b**2 - 15*b - 90.
5*(b - 2)*(b + 3)**2
Factor 2*m**2/3 - 34*m - 3404/3.
2*(m - 74)*(m + 23)/3
Find q, given that 2*q**5/13 - 8*q**4/13 - 22*q**3/13 + 132*q**2/13 - 144*q/13 = 0.
-4, 0, 2, 3
Suppose 2*a**2/3 - 1582*a/3 + 1580/3 = 0. What is a?
1, 790
Find n, given that -2*n**4 - 32*n**3 - 30*n**2 + 784*n + 2080 = 0.
-13, -4, 5
Factor 2*y**3 - 4*y**2.
2*y**2*(y - 2)
Determine u, given that -3*u**2/5 - 81*u/5 = 0.
-27, 0
Factor -2*z**5/7 + 10*z**4/7 + 6*z**3 + 46*z**2/7 + 16*z/7.
-2*z*(z - 8)*(z + 1)**3/7
What is k in -3*k**4/2 + 15*k**3 - 24*k**2 = 0?
0, 2, 8
Factor 4*z**3 - 8*z**2 - 156*z - 288.
4*(z - 8)*(z + 3)**2
Factor -5*b**3 + 388*b**2 - 383*b.
-b*(b - 1)*(5*b - 383)
Find o, given that -500*o**4/7 - 9900*o**3/7 - 16740*o**2/7 - 1404*o - 1944/7 = 0.
-18, -3/5
Factor 4*i**3 + 40*i**2 - 92*i + 48.
4*(i - 1)**2*(i + 12)
Factor a**3 - 107*a**2 - 328*a - 220.
(a - 110)*(a + 1)*(a + 2)
Let -2*a**4/9 - 974*a**3/9 - 646*a**2/3 + 974*a/9 + 1940/9 = 0. What is a?
-485, -2, -1, 1
Find i, given that 5*i**4 + 10*i**3 - 10*i - 5 = 0.
-1, 1
Factor -4*t**4 + 672*t**3 + 2068*t**2 - 2736*t.
-4*t*(t - 171)*(t - 1)*(t + 4)
Factor -46*t**2 + 142*t - 12.
-2*(t - 3)*(23*t - 2)
Suppose -b**5/5 - 2*b**4/5 + b**3 + 6*b**2/5 = 0. What is b?
-3, -1, 0, 2
Find k such that -2*k**3/5 + 207*k**2/5 + 107*k/5 - 312/5 = 0.
-3/2, 1, 104
Factor 27*k**4 - 3948*k**3 + 876*k**2.
3*k**2*(k - 146)*(9*k - 2)
Let -10*v**5 + 34*v**4 + 68*v**3 - 152*v**2 - 112*v + 64 = 0. What is v?
-2, -1, 2/5, 2, 4
Factor -3*r**3 + 951*r**2 + 1911*r + 957.
-3*(r - 319)*(r + 1)**2
Solve y**5/5 - 41*y**3/5 + 72*y**2/5 + 112*y/5 = 0 for y.
-7, -1, 0, 4
Determine n so that n**4/3 - 307*n**3/3 - 1552*n**2/3 - 2492*n/3 - 416 = 0.
-2, -1, 312
Solve -2*u**3/15 + 16*u**2/5 - 6*u + 44/15 = 0.
1, 22
Determine d, given that -d**5/6 - 8*d**4/3 + 17*d**3/6 = 0.
-17, 0, 1
Factor o**2 + 24*o - 81.
(o - 3)*(o + 27)
Suppose j**3/4 - 25*j**2/4 + 22*j - 21 = 0. What is j?
2, 21
Let -2*x**2/5 - 88*x/5 = 0. What is x?
-44, 0
Let -5*b**3 + 28*b**2 - 33*b - 18 = 0. What is b?
-2/5, 3
Suppose -3*c**4 + 45*c**3 - 114*c**2 + 72*c = 0. Calculate c.
0, 1, 2, 12
Let -5*y**2 + 1860*y - 1855 = 0. Calculate y.
1, 371
Solve -3*w**3 - 138*w**2 - 1440*w + 3456 = 0.
-24, 2
Find t such that 5*t**4/6 + 70*t**3 + 265*t**2/2 - 1040*t/3 - 410 = 0.
-82, -3, -1, 2
Factor -5*y**3 + 80*y**2 - 145*y + 70.
-5*(y - 14)*(y - 1)**2
Find r such that r**5/4 - 12*r**4 + 56*r**3 - 197*r**2/2 + 303*r/4 - 43/2 = 0.
1, 2, 43
Let a**4/7 + a**3 - 54*a**2/7 + 72*a/7 = 0. What is a?
-12, 0, 2, 3
What is d in -2*d**3/9 + 310*d**2/9 - 904*d/9 - 1216/9 = 0?
-1, 4, 152
Find x such that -5*x**3 + 35*x**2 - 60*x = 0.
0, 3, 4
Determine q so that -2*q**5/13 + 126*q**4/13 - 236*q**3/13 - 492*q**2/13 + 238*q/13 + 366/13 = 0.
-1, 1, 3, 61
Determine z so that 1029*z**4/5 + 45276*z**3 + 225687*z**2/5 + 14724*z + 7884/5 = 0.
-219, -3/7, -2/7
Factor -2*v**4 - 126*v**3 + 1296*v**2.
-2*v**2*(v - 9)*(v + 72)
Factor -r**3 + 23*r**2 + 305*r + 825.
-(r - 33)*(r + 5)**2
Find g, given that g**4 + 13*g**3 - 31*g**2 - 13*g + 30 = 0.
-15, -1, 1, 2
Factor -3*l**4 - 906*l**3 - 69303*l**2 - 135900*l - 67500.
-3*(l + 1)**2*(l + 150)**2
Factor -530*q**2 - 6364*q - 48.
-2*(q + 12)*(265*q + 2)
Factor -g**2 - 110*g - 3025.
-(g + 55)**2
Factor m**4 + 12*m**3 - 108*m**2 - 864*m + 5184.
(m - 6)**2*(m + 12)**2
Factor -8*g**3 + 4230*g**2 + 1058*g.
-2*g*(g - 529)*(4*g + 1)
Factor 2*w**3/7 - 2*w**2 + 4*w - 16/7.
2*(w - 4)*(w - 2)*(w - 1)/7
Factor 3*c**3 - 20*c**2 + 39*c - 18.
(c - 3)**2*(3*c - 2)
Factor -2*a**3/3 - 52*a**2 + 482*a/3 - 108.
-2*(a - 2)*(a - 1)*(a + 81)/3
Suppose 2*s**3 - 24*s + 32 = 0. Calculate s.
-4, 2
Solve f**3/6 - 215*f**2/6 + 1908*f + 1944 = 0 for f.
-1, 108
Determine p so that 4*p**3 - 194*p**2/3 + 800*p/3 - 128/3 = 0.
1/6, 8
Let 3*q**2 + 1998*q - 2001 = 0. What is q?
-667, 1
Factor 7*q**4 + 271*q**3 + 2715*q**2 + 1729*q - 722.
(q + 1)*(q + 19)**2*(7*q - 2)
Solve 2*b**3/3 - 432*b**2 + 3874*b/3 - 860 = 0 for b.
1, 2, 645
Find n, given that 32*n**4 + 1648*n**3 + 3874*n**2 - 2248*n + 294 = 0.
-49, -3, 1/4
Let -2*f**5/17 - 42*f**4/17 - 232*f**3/17 + 320*f**2/17 + 4608*f/17 + 4096/17 = 0. What is f?
-8, -1, 4
Solve -5*x**2 - 65*x - 60 = 0 for x.
-12, -1
Factor 4*b**4 - 460*b**3 + 2200*b**2.
4*b**2*(b - 110)*(b - 5)
Let 5*f**2 - 160*f + 155 = 0. Calculate f.
1, 31
Let -3*a**2 - 570*a - 27075 = 0. What is a?
-95
Find r, given that 3*r**5 - 133*r**4 - 513*r**3 - 711*r**2 - 430*r - 96 = 0.
-1, -2/3, 48
Factor 2*o**4/9 - 2*o**3/9 - 4*o**2/3 + 8*o/9 + 16/9.
2*(o - 2)**2*(o + 1)*(o + 2)/9
Solve -94*y**5/9 + 286*y**4/9 + 82*y**3/9 - 286*y**2/9 + 4*y/3 = 0 for y.
-1, 0, 2/47, 1, 3
Solve 2*l**2/3 - 4*l/3 - 2 = 0.
-1, 3
Factor -2*f**2/9 + 1444*f/9.
-2*f*(f - 722)/9
Solve -p**2/2 - 111*p/4 - 315/4 = 0.
-105/2, -3
Factor 2*j**2 - 3374*j + 6740.
2*(j - 1685)*(j - 2)
Factor -m**5/2 + 22*m**4 - 282*m**3 + 880*m**2 - 800*m.
-m*(m - 20)**2*(m - 2)**2/2
Solve -5*x**4 - 320*x**3 - 4440*x**2 + 21760*x - 23120 = 0.
-34, 2
Let -n**3/5 + 72*n**2/5 + 459*n/5 + 702/5 = 0. What is n?
-3, 78
Factor j**3 + 108*j**2 + 2805*j - 6050.
(j - 2)*(j + 55)**2
Find n, given that 3*n**5/5 - 93*n**4/5 - 627*n**3/5 - 1407*n**2/5 - 264*n - 444/5 = 0.
-2, -1, 37
Factor -a**3/4 + a**2 + 5*a/4.
-a*(a - 5)*(a + 1)/4
Factor -5*l**3 + 10*l**2 + 20*l - 40.
-5*(l - 2)**2*(l + 2)
Factor 4*m**5 - 28*m**4 + 44*m**3 - 20*m**2.
4*m**2*(m - 5)*(m - 1)**2
Determine t so that 3*t**2/7 - 120*t/7 - 123/7 = 0.
-1, 41
Determine l so that -4*l**2 + 128*l + 132 = 0.
-1, 33
Let -3*a**3 + 15*a**2 + 18*a = 0. What is a?
-1, 0, 6
Factor -7*f**2 - 241*f - 102.
-(f + 34)*(7*f + 3)
Find u such that 2*u**3/11 - 34*u**2/11 + 32*u/11 = 0.
0, 1, 16
Factor -v**4 + v**3 + 7*v**2 - 13*v + 6.
-(v - 2)*(v - 1)**2*(v + 3)
Factor 5*z**3/3 - 1980*z**2 + 784080*z - 103498560.
5*(z - 396)**3/3
Determine i, given that -i**3/4 + 15*i**2 - 59*i/4 = 0.
0, 1, 59
What is b in -4*b**5 - 28*b**4 + 44*b**3 + 92*b**2 - 40*b - 64 = 0?
-8, -1, 1, 2
Let -3*r**4 - 114*r**3 - 1080*r**2 + 114*r + 1083 = 0. Calculate r.
-19, -1, 1
Suppose -12*r**4/11 - 2*r**3/11 + 62*r**2/11 + 8*r/11 - 56/11 = 0. What is r?
-2, -7/6, 1, 2
Find j such that -121*j**5/3 - 209*j**4/3 + 17*j**3/3 + 193*j**2/3 + 104*j/3 + 16/3 = 0.
-1, -4/11, 1
Determine k, given that 796005*k**2 - 7980*k + 20 = 0.
2/399
Determine p so that 5*p**4 - 145*p**3 + 895*p**2 + 2245*p + 1200 = 0.
-1, 15, 16
Suppose h**2/3 - h = 0. What is h?
0, 3
What is x in 4*x**5 + 212*x**4 + 1148*x**3 + 940*x**2 = 0?
-47, 