actor p**3/4 - 45*p**2/4 + 183*p/2 - 140.
(p - 35)*(p - 8)*(p - 2)/4
Factor -3*k**3 + 495*k**2 - 19656*k - 63504.
-3*(k - 84)**2*(k + 3)
Factor -k**2/2 + 12*k + 945/2.
-(k - 45)*(k + 21)/2
Determine i, given that 5*i**3 - 10395*i**2 + 5407995*i - 5397605 = 0.
1, 1039
Determine x, given that -3*x**2 - 462*x - 17787 = 0.
-77
Factor -4*u**5 + 84*u**4 - 512*u**3 + 1376*u**2 - 1728*u + 832.
-4*(u - 13)*(u - 2)**4
Solve 4*w**2 - 7720*w + 3724900 = 0 for w.
965
Factor -3*m**2 + 69*m + 72.
-3*(m - 24)*(m + 1)
Determine j so that 3*j**3 - 51*j**2 + 48*j = 0.
0, 1, 16
Suppose 4*x**3/5 - 8*x**2/5 - 32*x/5 = 0. What is x?
-2, 0, 4
Find d, given that 5*d**4 + 40*d**3 - 210*d**2 - 520*d - 275 = 0.
-11, -1, 5
Find t such that t**5/6 - 5*t**4/6 + 7*t**3/6 - t**2/2 = 0.
0, 1, 3
Factor -b**4 - 50*b**3 + 52*b**2 + 50*b - 51.
-(b - 1)**2*(b + 1)*(b + 51)
Find j, given that 2*j**3/5 + 54*j**2/5 - 36*j = 0.
-30, 0, 3
Suppose -3*w**3/2 - 83*w**2/4 - 16*w + 13/4 = 0. What is w?
-13, -1, 1/6
Factor 4*o**4 - 4*o**3 - 4*o**2 + 4*o.
4*o*(o - 1)**2*(o + 1)
Factor 2*n**4/7 + 230*n**3/7 + 928*n**2 - 6728*n/7.
2*n*(n - 1)*(n + 58)**2/7
Let 55*o**4 - 10*o**3 - 165*o**2 - 80*o + 20 = 0. What is o?
-1, 2/11, 2
Factor 36*t**4/5 - 76*t**3/5 + 44*t**2/5 - 4*t/5.
4*t*(t - 1)**2*(9*t - 1)/5
Let 2*w**3/3 - 52*w**2/3 + 184*w/3 - 176/3 = 0. Calculate w.
2, 22
Factor d**4 - 110*d**3 + 3133*d**2 - 5940*d + 2916.
(d - 54)**2*(d - 1)**2
Solve -15*a**5 - 115*a**4 - 155*a**3 - 25*a**2 + 30*a = 0.
-6, -1, 0, 1/3
Factor -2*l**2/9 + 16*l/3 - 46/9.
-2*(l - 23)*(l - 1)/9
Factor -y**4/6 - 34*y**3/3 - 331*y**2/3 - 1010*y/3 - 475/2.
-(y + 1)*(y + 5)**2*(y + 57)/6
Factor -20*d**5/3 + 28*d**4/3 - 8*d**3/3.
-4*d**3*(d - 1)*(5*d - 2)/3
Find l, given that l**2/3 - 4562*l + 15608883 = 0.
6843
What is y in 3*y**2 - 2715*y + 2712 = 0?
1, 904
Factor 12*o**4 - 8*o**3 - 23*o**2 + 22*o - 3.
(o - 1)**2*(2*o + 3)*(6*o - 1)
Solve 8*f**5 - 212*f**4 + 496*f**3 - 388*f**2 + 96*f = 0 for f.
0, 1/2, 1, 24
Factor -x**2/7 - 433*x/7.
-x*(x + 433)/7
Determine p so that p**3/4 + p**2/4 - p/2 = 0.
-2, 0, 1
Solve -5*r**3 + 135*r**2 - 255*r + 125 = 0.
1, 25
Let 3*p**3 + 6*p**2 = 0. What is p?
-2, 0
Factor -2*a**2/13 + 36*a/13 - 162/13.
-2*(a - 9)**2/13
Let 69*w**2 - 354*w + 45 = 0. What is w?
3/23, 5
Factor j**2/3 - 464*j/3 + 53824/3.
(j - 232)**2/3
Factor -x**3 + 39*x**2 - 399*x + 361.
-(x - 19)**2*(x - 1)
What is q in 2*q**3/11 + 1706*q**2/11 + 32682*q - 167310 = 0?
-429, 5
What is p in -2*p**4/5 - 96*p**3/5 - 1532*p**2/5 - 1824*p - 3610 = 0?
-19, -5
Solve 35*f**5 - 25*f**4 - 45*f**3 + 25*f**2 + 10*f = 0.
-1, -2/7, 0, 1
Let 3*n**5 - 15*n**4 + 6*n**3 + 60*n**2 - 72*n = 0. What is n?
-2, 0, 2, 3
Find g, given that 5*g**4 + 30*g**3 - 5*g**2 - 30*g = 0.
-6, -1, 0, 1
Factor -i**2 - 5*i + 14.
-(i - 2)*(i + 7)
Let -f**3/6 - 53*f**2/6 - 161*f/3 = 0. What is f?
-46, -7, 0
Let -16*t**4/5 + 94*t**3/5 - 36*t**2 + 104*t/5 + 16/5 = 0. Calculate t.
-1/8, 2
What is w in 4*w**4 - 28*w**3 - 400*w**2 - 1136*w - 960 = 0?
-4, -2, 15
Factor -i**4 + 4*i**3 - i**2 - 6*i.
-i*(i - 3)*(i - 2)*(i + 1)
Factor -c**4/2 - 20*c**3 - 471*c**2/2 - 702*c - 486.
-(c + 1)*(c + 3)*(c + 18)**2/2
Factor h**4/3 + 8*h**3/3 + 20*h**2/3 + 16*h/3.
h*(h + 2)**2*(h + 4)/3
Find h such that -3*h**3 - 69*h**2 - 213*h + 285 = 0.
-19, -5, 1
Suppose 169*c**3/3 + 5980*c**2/3 - 3728*c/3 + 192 = 0. Calculate c.
-36, 4/13
Determine c, given that -3*c**5 + 381*c**3 + 702*c**2 - 1080*c = 0.
-10, -3, 0, 1, 12
Factor g**4/3 - 10*g**3 + 75*g**2.
g**2*(g - 15)**2/3
What is y in -2*y**3/15 + 178*y**2/15 + 74*y/3 - 182/5 = 0?
-3, 1, 91
Factor 2*c**2/5 - 763*c - 1908/5.
(c - 1908)*(2*c + 1)/5
Factor -f**2 + 70*f.
-f*(f - 70)
Factor -x**5 + 18*x**4 - 97*x**3 + 144*x**2 - 64*x.
-x*(x - 8)**2*(x - 1)**2
Find a such that -2*a**5 - 16*a**4 + 4*a**3 + 32*a**2 - 2*a - 16 = 0.
-8, -1, 1
Let -3*a**2 - 42*a + 285 = 0. Calculate a.
-19, 5
Find n such that -5*n**3 + 125*n**2 - 110*n - 240 = 0.
-1, 2, 24
Determine a, given that 5*a**2 - 1090*a + 59405 = 0.
109
Factor -5*g**4 - 695*g**3 - 28975*g**2 - 316285*g.
-5*g*(g + 17)*(g + 61)**2
Suppose -4*l**4 + 140*l**3 - 116*l**2 - 668*l - 408 = 0. What is l?
-1, 3, 34
Factor 4*a**2/7 + 544*a/7 + 540/7.
4*(a + 1)*(a + 135)/7
Factor 5*z**3 - 105*z**2 + 315*z + 425.
5*(z - 17)*(z - 5)*(z + 1)
Solve -p**3/4 - p**2/2 + 5*p/4 + 3/2 = 0 for p.
-3, -1, 2
Factor q**3/9 - 17*q**2/3 + 96*q - 540.
(q - 18)**2*(q - 15)/9
Determine i so that -i**5/11 + 12*i**4/11 + i**3/11 - 12*i**2/11 = 0.
-1, 0, 1, 12
Suppose 6*x**5/7 - 573*x**4/7 + 18141*x**3/7 - 187104*x**2/7 - 15360*x + 98304/7 = 0. Calculate x.
-1, 1/2, 32
Let 3*f**3 + 89*f**2 - 1112*f - 780 = 0. Calculate f.
-39, -2/3, 10
Factor -3*q**3 - 36*q**2 + 84*q.
-3*q*(q - 2)*(q + 14)
Factor -f**2/5 + 94*f/5 + 19.
-(f - 95)*(f + 1)/5
Factor 27*g**3/2 - 195*g**2/2 + 174*g.
3*g*(g - 4)*(9*g - 29)/2
Factor 2*u**3/11 + 18*u**2/11 - 70*u + 750/11.
2*(u - 15)*(u - 1)*(u + 25)/11
Let -21*b**3 - 117*b**2 - 186*b - 72 = 0. What is b?
-3, -2, -4/7
Factor -3*t**3 - 1035*t**2.
-3*t**2*(t + 345)
Solve 3*t**3/7 + 54*t**2/7 + 45*t + 84 = 0 for t.
-7, -4
Suppose -q**5 - 3*q**4 + 4*q**2 = 0. What is q?
-2, 0, 1
Suppose -27*m**3 + 6*m**2 = 0. What is m?
0, 2/9
Factor -6*t**3/5 - 14*t**2/5 + 4*t/5 + 16/5.
-2*(t - 1)*(t + 2)*(3*t + 4)/5
Factor 2*u**4/9 + 8*u**3/9 - 10*u**2/3 - 4*u.
2*u*(u - 3)*(u + 1)*(u + 6)/9
Factor -3*w**3/2 + 118*w**2 - 387*w/2 + 77.
-(w - 77)*(w - 1)*(3*w - 2)/2
Factor 4*d**3 - 56*d**2 - 60*d.
4*d*(d - 15)*(d + 1)
Factor 2*i**2/7 - 16568*i/7 + 34312328/7.
2*(i - 4142)**2/7
Determine t, given that 2*t**3/11 - 380*t**2/11 + 754*t/11 - 376/11 = 0.
1, 188
Suppose q**2/11 + 509*q/11 + 508/11 = 0. Calculate q.
-508, -1
Determine w so that -4*w**3/3 + 8*w**2/3 + 52*w + 96 = 0.
-3, 8
What is s in -2*s**2/3 + 44*s/3 - 70 = 0?
7, 15
Factor 2*c**4/7 + 10*c**3/7 - 34*c**2/7 - 6*c.
2*c*(c - 3)*(c + 1)*(c + 7)/7
Suppose -2*x**4 + 314*x**3 - 11152*x**2 - 94136*x = 0. What is x?
-7, 0, 82
Factor 4*y**5 - 8*y**4 - 72*y**3 - 128*y**2 - 92*y - 24.
4*(y - 6)*(y + 1)**4
Factor -3*c**3 - 993*c**2.
-3*c**2*(c + 331)
Factor -3*n**2 - 8265*n - 8262.
-3*(n + 1)*(n + 2754)
Let 6*w**2 + 27*w + 27 = 0. Calculate w.
-3, -3/2
Solve -6*i**3 - 500*i**2/7 - 792*i/7 + 80/7 = 0.
-10, -2, 2/21
Suppose -30*t**5 - 298*t**4 - 376*t**3 + 680*t**2 - 192*t = 0. Calculate t.
-8, -3, 0, 2/5, 2/3
Factor -33*a**3 + 390*a**2 + 501*a + 78.
-3*(a - 13)*(a + 1)*(11*a + 2)
Factor -m**4/7 + 72*m**3/7 - 1942*m**2/7 + 23256*m/7 - 104329/7.
-(m - 19)**2*(m - 17)**2/7
Find g such that 2*g**4 + 6*g**3 - 24*g**2 - 40*g + 96 = 0.
-4, -3, 2
Factor 2*p**2/7 + 148*p/7 + 2738/7.
2*(p + 37)**2/7
Factor 5*i**2 - 5510*i - 5515.
5*(i - 1103)*(i + 1)
Factor -2*d**2 - 1916*d - 1914.
-2*(d + 1)*(d + 957)
Factor 5*f**4 - 30*f**3 - 380*f**2 - 930*f - 585.
5*(f - 13)*(f + 1)*(f + 3)**2
Factor 3*x**3/7 + 30*x**2/7 + 87*x/7 + 60/7.
3*(x + 1)*(x + 4)*(x + 5)/7
What is y in -2*y**4/5 + 152*y**3/5 - 1482*y**2/5 - 3428*y/5 - 1792/5 = 0?
-1, 14, 64
What is y in 2*y**3/7 + 12*y**2/7 + 18*y/7 + 8/7 = 0?
-4, -1
Factor 2*a**2 + 18*a.
2*a*(a + 9)
Solve u**3/3 - 9*u - 18 = 0 for u.
-3, 6
Suppose -753*p**2/7 - 759*p/7 - 6/7 = 0. What is p?
-1, -2/251
Determine y so that y**3/8 - 257*y**2/8 - 395*y/4 + 325 = 0.
-5, 2, 260
Factor 45*j**5 - 25*j**4 - 20*j**3.
5*j**3*(j - 1)*(9*j + 4)
Solve 2*w**5/3 + 180*w**4 + 37514*w**3/3 + 47880*w**2 + 141512*w/3 = 0 for w.
-133, -2, 0
Factor x**2/3 + 1444*x/3 + 521284/3.
(x + 722)**2/3
Factor 3*q**2 - 192*q + 189.
3*(q - 63)*(q - 1)
Factor 2*r**5 + 16*r**4 + 50*r**3 + 76*r**2 + 56*r + 16.
2*(r + 1)**2*(r + 2)**3
Factor 2*h**2/15 + 28*h/3 + 46/5.
2*(h + 1)*(h + 69)/15
Determine m, given that 5*m**4 - 120*m**3 - 15*m**2 + 370*m - 240 = 0.
-2, 1, 24
Factor -5*x**3 - 165*x**2.
-5*x**2*(x + 33)
Factor q**5/3 - 19*q**4/3 + 35*q**3/3 - 17*q**2/3.
q**2*(q - 17)*(q - 1)**2/3
Let 4*w**5 + 14*w**4 - 48*w**3 - 92*w**2 - 4*w + 30 = 0. Calculate w.
-5, -1, 1/2, 3
Suppose -3*r**3 + 6*r**2 + 63*r + 54 = 0. Calculate r.
-3, -1, 6
Factor -243*t**4 + 108*t**3 - 12*t**2.
-3*t**2*(9*t - 2)**2
Determine p, given that 2*p**5/3 - 2*p**4/3 - 6*p**3 - 22*p**2/3 - 8*p/3 = 0.
-1, 0, 4
Factor -2*a**2 + 492*a - 30258.
-2*(a - 123)**2
Let -3*a**5/4 + 111*a**4/4 - 105*a**3/4 - 111*a**2/4 + 27*a = 0. W