181*s**2 + 541*s/3 + 60.
(s + 1)**3*(s + 180)/3
Solve -5*z**5 + 10*z**4 + 5*z**3 - 10*z**2 = 0.
-1, 0, 1, 2
Solve -4*q**4 - 1772*q**3 - 269412*q**2 - 15132260*q - 163755592 = 0.
-143, -14
Factor 392*s**3/9 + 77*s**2/9 - 52*s/9 - 4/3.
(7*s + 2)**2*(8*s - 3)/9
Let -5*b**2 + 5*b + 780 = 0. What is b?
-12, 13
What is y in -2*y**2 + 12*y + 14 = 0?
-1, 7
Factor -2*z**2 + 1320*z - 217800.
-2*(z - 330)**2
Determine x, given that 5*x**2 - 1120*x + 1115 = 0.
1, 223
Factor -p**4/3 + 8*p**3/3 - 22*p**2/3 + 8*p - 3.
-(p - 3)**2*(p - 1)**2/3
Factor b**5 + 96*b**4 + 2489*b**3 + 8926*b**2 + 10764*b + 4232.
(b + 1)**2*(b + 2)*(b + 46)**2
Find i such that -6*i**3/11 + 90*i**2/11 + 108*i/11 - 192/11 = 0.
-2, 1, 16
Solve -z**4/2 - 51*z**3/2 + 165*z**2 - 338*z + 228 = 0.
-57, 2
Factor -5*v**4 + 310*v**3.
-5*v**3*(v - 62)
Factor p**2/2 + 5*p/6 - 2.
(p + 3)*(3*p - 4)/6
Solve -3*n**5/5 - 381*n**4/5 - 2202*n**3/5 - 2886*n**2/5 + 441*n + 3267/5 = 0.
-121, -3, -1, 1
Let -2*q**2/7 + 820*q - 588350 = 0. What is q?
1435
Find a such that -2*a**5/13 - 4*a**4/13 + 6*a**3/13 = 0.
-3, 0, 1
Solve -3*x**5 + 12*x**4 + 9*x**3 - 42*x**2 + 24*x = 0 for x.
-2, 0, 1, 4
Factor 2*a**3 + 50*a**2 - 1826*a + 11374.
2*(a - 11)**2*(a + 47)
Factor x**2/3 + 119*x/3 - 122.
(x - 3)*(x + 122)/3
Factor -2*a**3/15 + 26*a**2/15 - 44*a/15.
-2*a*(a - 11)*(a - 2)/15
What is b in 27*b**4/5 + 2448*b**3/5 - 49956*b**2/5 + 63312*b/5 - 20736/5 = 0?
-108, 2/3, 16
Solve -5*p**2 - 66*p - 72 = 0.
-12, -6/5
Factor 2*y**3/3 - 10*y**2/3 - 16*y/3 + 8.
2*(y - 6)*(y - 1)*(y + 2)/3
Factor -15*d**4 - 25*d**3 - 10*d**2.
-5*d**2*(d + 1)*(3*d + 2)
Factor 4*z**5/3 + 120*z**4 - 736*z**3/3.
4*z**3*(z - 2)*(z + 92)/3
Suppose -j**2/5 - 300*j - 112500 = 0. What is j?
-750
What is p in -25*p**4/2 + 45*p**3/2 + 27*p**2/2 - 89*p/2 + 21 = 0?
-7/5, 1, 6/5
Factor 3*o**3 + 2028*o**2 + 4047*o + 2022.
3*(o + 1)**2*(o + 674)
Factor i**5 + 39*i**4 + 37*i**3 - 39*i**2 - 38*i.
i*(i - 1)*(i + 1)**2*(i + 38)
Factor -5*u**3/2 + 85*u**2/2 + 160*u - 200.
-5*(u - 20)*(u - 1)*(u + 4)/2
Factor 5*x**2 - 15*x - 20.
5*(x - 4)*(x + 1)
Find l such that 2*l**2 + 144*l + 2592 = 0.
-36
Determine v, given that -v**3/10 + 23*v**2/10 + v/10 - 23/10 = 0.
-1, 1, 23
Factor -15*n**4 + 85*n**3 - 140*n**2 + 60*n.
-5*n*(n - 3)*(n - 2)*(3*n - 2)
Factor 6*o**2 - 279*o/2 - 108.
3*(o - 24)*(4*o + 3)/2
Factor 3*g**2 - 21*g + 18.
3*(g - 6)*(g - 1)
Determine g, given that 3*g**3 + 1644*g**2 + 1635*g - 3282 = 0.
-547, -2, 1
Factor -5*g**3 - 805*g**2 - 15895*g - 84095.
-5*(g + 11)**2*(g + 139)
Find j such that 16*j**3/7 - 256*j**2/7 - 268*j/7 - 68/7 = 0.
-1/2, 17
Solve 5*f**2 - 605*f + 3450 = 0 for f.
6, 115
Factor x**3/7 + 3393*x**2/7 + 2879808*x/7 + 2876416/7.
(x + 1)*(x + 1696)**2/7
Suppose -4*t**4 - 11*t**3 + 132*t**2 - 268*t + 160 = 0. Calculate t.
-8, 5/4, 2
Suppose -27*j**5/4 - 12*j**4 + j**3/4 + 19*j**2/2 + 4*j = 0. What is j?
-1, -2/3, 0, 8/9
Suppose 2*w**2/3 + 326*w/3 - 328/3 = 0. What is w?
-164, 1
Factor 2*w**5 + 4*w**4 - 52*w**3 + 112*w**2 - 94*w + 28.
2*(w - 2)*(w - 1)**3*(w + 7)
Solve -35*v**4 - 45*v**3 + 25*v**2 + 45*v + 10 = 0 for v.
-1, -2/7, 1
Factor -t**5 + 9*t**4 - 24*t**3 + 20*t**2.
-t**2*(t - 5)*(t - 2)**2
Determine w so that -5*w**3 - 7935*w**2 + 31800*w - 31820 = 0.
-1591, 2
Factor 3*l**3 + 9*l**2 - 18*l - 24.
3*(l - 2)*(l + 1)*(l + 4)
Solve 4*h**3/3 + 100*h**2/3 + 112*h = 0.
-21, -4, 0
Let -77*a**5 - 113*a**4 + 37*a**3 + 109*a**2 + 40*a + 4 = 0. What is a?
-1, -2/7, -2/11, 1
Determine c so that -c**4/6 - 27*c**3 - 1647*c**2/2 + 21870*c - 109350 = 0.
-90, 9
Determine z, given that 2*z**5/7 + 37*z**4/7 + 13*z**3/7 - 88*z**2/7 + 36*z/7 = 0.
-18, -2, 0, 1/2, 1
Factor 5*g**3/4 + 39*g**2/2 + 27*g - 14.
(g + 2)*(g + 14)*(5*g - 2)/4
Factor -g**4 + 16*g**3 + 54*g**2 + 56*g + 19.
-(g - 19)*(g + 1)**3
Factor -2*k**4 - 64*k**3 - 180*k**2 - 176*k - 58.
-2*(k + 1)**3*(k + 29)
Suppose 3*y**5 + 69*y**4 + 567*y**3 + 1911*y**2 + 2058*y = 0. What is y?
-7, -2, 0
Factor r**2/5 + 6*r - 64/5.
(r - 2)*(r + 32)/5
Find r such that -3*r**5/5 + 2031*r**4/5 - 810*r**3 - 6*r**2/5 + 4053*r/5 - 405 = 0.
-1, 1, 675
Factor r**2/3 - 2360*r/3 + 1392400/3.
(r - 1180)**2/3
Solve v**2/6 - 8*v/3 - 6 = 0.
-2, 18
Factor x**4 - 7*x**3 - 40*x**2 + 100*x.
x*(x - 10)*(x - 2)*(x + 5)
Suppose r**2/2 + 89*r + 7921/2 = 0. What is r?
-89
Factor -5*g**2 - 7475*g.
-5*g*(g + 1495)
Find t such that -63*t**2 - 26*t + 24 = 0.
-6/7, 4/9
Factor 28*n**3 - 156*n**2 + 192*n - 64.
4*(n - 4)*(n - 1)*(7*n - 4)
Factor 5*z**3 + 765*z**2 + 39015*z + 663255.
5*(z + 51)**3
Factor -3*m**4 + 102*m**3 - 1044*m**2 + 2970*m - 2025.
-3*(m - 15)**2*(m - 3)*(m - 1)
Determine w, given that -2*w**2/3 - 16*w/3 + 40/3 = 0.
-10, 2
Let -5*a**3 - 60*a**2 - 135*a = 0. What is a?
-9, -3, 0
Factor -2*u**4 + 10*u**3.
-2*u**3*(u - 5)
Solve 5*p**2/6 - 1345*p/2 = 0.
0, 807
Factor -2*c**3/3 + 206*c**2/3 - 5200*c/3 - 5408/3.
-2*(c - 52)**2*(c + 1)/3
Factor -t**3/7 - 20*t**2/7 + 43*t/7 - 22/7.
-(t - 1)**2*(t + 22)/7
Factor -2*g**2/7 + 30*g - 412/7.
-2*(g - 103)*(g - 2)/7
Factor 2*m**3/3 - 8*m**2/3 - 22*m/3 - 4.
2*(m - 6)*(m + 1)**2/3
What is j in j**3/3 - 758*j**2/3 = 0?
0, 758
Let -3*s**2 + 468*s + 2415 = 0. Calculate s.
-5, 161
Let 30*u**4 - 55*u**3 - 130*u**2 + 220*u + 40 = 0. Calculate u.
-2, -1/6, 2
Determine p so that -2*p**5 - 242*p**4 - 6936*p**3 + 24056*p**2 + 30752*p = 0.
-62, -1, 0, 4
Factor -t**2 - 5*t - 4.
-(t + 1)*(t + 4)
Factor -5*o**2 - 7550*o + 15120.
-5*(o - 2)*(o + 1512)
Factor -l**3/7 + 34*l**2/7 - 181*l/7 - 216/7.
-(l - 27)*(l - 8)*(l + 1)/7
What is w in -2*w**2/5 + 242*w/5 - 708/5 = 0?
3, 118
Suppose -3*z**5/8 - 21*z**4/4 + 51*z**3/8 + 45*z**2/4 = 0. Calculate z.
-15, -1, 0, 2
Determine x so that 4*x**2/5 + 1092*x/5 + 2168/5 = 0.
-271, -2
Factor -g**4/4 - 27*g**3/2.
-g**3*(g + 54)/4
Factor -2*l**3/3 - l**2/3 + 5*l/3 - 2/3.
-(l - 1)*(l + 2)*(2*l - 1)/3
Factor 27*k**5 + 60*k**4 + 39*k**3 + 6*k**2.
3*k**2*(k + 1)**2*(9*k + 2)
Determine c, given that 231*c**5 - 717*c**4 + 60*c**3 + 36*c**2 = 0.
-2/11, 0, 2/7, 3
Factor q**2 + 1078*q + 290521.
(q + 539)**2
Find o, given that -5*o**4 - 3090*o**3 + 9300*o**2 - 9310*o + 3105 = 0.
-621, 1
Determine i, given that -2*i**3 + 108*i**2 - 658*i = 0.
0, 7, 47
Determine i so that -4*i**5 - 12*i**4 + 72*i**3 + 344*i**2 + 444*i + 180 = 0.
-3, -1, 5
Factor 4*f**3 - 332*f**2 - 1032*f.
4*f*(f - 86)*(f + 3)
Factor 2*t**2/5 - 6*t/5 - 220.
2*(t - 25)*(t + 22)/5
Determine k so that 4*k**2/7 - 1116*k + 15608/7 = 0.
2, 1951
Let -2*j**5/9 + 10*j**4/9 + 20*j**3/9 - 40*j**2/9 - 16*j/3 = 0. What is j?
-2, -1, 0, 2, 6
Suppose -4*q**3/5 + 476*q**2/5 - 3136*q + 87808/5 = 0. What is q?
7, 56
Suppose -4*y**2 + 44*y = 0. What is y?
0, 11
What is a in -5*a**2 - 65*a - 110 = 0?
-11, -2
Factor -2*n**4/9 + 140*n**3/3 - 21626*n**2/9 - 14840*n/3 - 22472/9.
-2*(n - 106)**2*(n + 1)**2/9
Find h such that -3*h**4 + 21*h**3 + 54*h**2 - 264*h + 192 = 0.
-4, 1, 2, 8
Let -2*d**2/13 + 28*d/13 = 0. What is d?
0, 14
Solve r**2/2 - 124*r + 7688 = 0 for r.
124
Find m such that 2*m**3 - 220*m**2 + 3474*m - 14904 = 0.
9, 92
Solve 4*f**5/7 + 272*f**4 + 301464*f**3/7 + 15775344*f**2/7 - 16078716*f/7 = 0 for f.
-159, 0, 1
Let -2*d**3 - 138*d**2 - 520*d = 0. What is d?
-65, -4, 0
Factor 3*v**2 + 1179*v - 2370.
3*(v - 2)*(v + 395)
Determine d so that -d**2 - 7*d + 8 = 0.
-8, 1
Factor 2*x**2/7 + 2*x/7 - 60/7.
2*(x - 5)*(x + 6)/7
Suppose -10*k**2 + 88*k + 18 = 0. What is k?
-1/5, 9
Solve -5*k**2 - 35*k + 40 = 0 for k.
-8, 1
Factor v**4 - 27*v**3 + 118*v**2 - 180*v + 88.
(v - 22)*(v - 2)**2*(v - 1)
Factor -28*l**4 - 8*l**3 + 28*l**2 + 8*l.
-4*l*(l - 1)*(l + 1)*(7*l + 2)
Determine m so that -3*m**5/4 + 27*m**4/2 - 99*m**3/4 - 363*m**2 = 0.
-4, 0, 11
Factor -12*a**2/5 + 178*a/5 + 38.
-2*(a + 1)*(6*a - 95)/5
Find b, given that b**5/2 - 3*b**4 - 3*b**3/2 + 8*b**2 + 6*b = 0.
-1, 0, 2, 6
Solve o**2 - 19*o - 20 = 0 for o.
-1, 20
Factor 2*v**2 - 34*v + 140.
2*(v - 10)*(v - 7)
Factor 3*w**4/2 + 9*w**3 - 9*w**2/2 - 30*w - 18.
3*(w - 2)*(w + 1)**2*(w + 6)/2
Suppose 3*g**5 - 15*g**4 - 27*g**3 + 39*g**2 + 84*g + 36 = 0. What is g?
-1, 2, 6
Suppose -2*k**3/5 - 12*k**2/5 + 198*k + 200 = 0. Calculate k.
-25, -1, 20
Let 3*r**2 - 42*r - 45 = 0. Calculate r.
-1, 15
Factor -u**3/6 - 9*u**2/2 - 77*u/2 - 605/6.
-(u + 5)*(u + 11)**2/6
Solve 60*t**5 - 164*