45)*(u - 2)*(u + 1)/3
Factor -2*n**4 + 28*n**3 - 122*n**2 + 168*n - 72.
-2*(n - 6)**2*(n - 1)**2
Factor -3*z**5 - 300*z**4 - 588*z**3.
-3*z**3*(z + 2)*(z + 98)
Determine o so that -3*o**3 + 24*o**2 - 45*o = 0.
0, 3, 5
Factor -5*s**2 + 190*s - 185.
-5*(s - 37)*(s - 1)
Factor -2*q**2 + 4*q.
-2*q*(q - 2)
Suppose -4*t**4/9 + 28*t**3/3 - 80*t**2/9 = 0. What is t?
0, 1, 20
What is h in 125*h**3 + 3600*h**2 + 34560*h + 110592 = 0?
-48/5
Determine o so that -4*o**3 - 26*o**2 + 52*o + 32 = 0.
-8, -1/2, 2
Factor 2*z**5/9 - 80*z**4/9 - 82*z**3/9.
2*z**3*(z - 41)*(z + 1)/9
Suppose f**5 - 46*f**4 - 99*f**3 + 136*f**2 + 380*f + 192 = 0. What is f?
-2, -1, 2, 48
Factor -4*w**2 - 76*w - 240.
-4*(w + 4)*(w + 15)
Factor -a**2 - 55*a/3 - 68/3.
-(a + 17)*(3*a + 4)/3
Solve f**4/3 + 38*f**3/3 - 355*f**2/3 + 592*f/3 - 92 = 0.
-46, 1, 6
Factor -u**5/3 - 4*u**4 - 56*u**3/3 - 42*u**2 - 45*u - 18.
-(u + 1)*(u + 2)*(u + 3)**3/3
Factor -2*c**4 - 4*c**3 + 4*c + 2.
-2*(c - 1)*(c + 1)**3
Determine d, given that 2*d**4 + 10*d**3 - 14*d**2 - 10*d + 12 = 0.
-6, -1, 1
Factor 2*v**3/3 - 128*v - 2048/3.
2*(v - 16)*(v + 8)**2/3
Let 2*r**3/7 - 412*r**2/7 + 816*r/7 = 0. Calculate r.
0, 2, 204
Factor -x**4/7 - x**3 + 17*x**2/7 - 9*x/7.
-x*(x - 1)**2*(x + 9)/7
Let 45*f**2 - 745*f + 700 = 0. Calculate f.
1, 140/9
Factor -159*j**2/4 - 141*j/4 + 9/2.
-3*(j + 1)*(53*j - 6)/4
Factor -2*l**3/7 + 590*l**2/7 + 1186*l/7 + 594/7.
-2*(l - 297)*(l + 1)**2/7
Find y such that 2*y**3/23 + 136*y**2/23 + 266*y/23 + 132/23 = 0.
-66, -1
Factor -4*r**3/3 + 856*r**2/3 + 860*r/3.
-4*r*(r - 215)*(r + 1)/3
Let -48*g**4 + 408*g**3 - 195*g**2 + 24*g = 0. What is g?
0, 1/4, 8
Solve r**4 + 407*r**3 + 41615*r**2 + 41209*r = 0 for r.
-203, -1, 0
Factor -f**3/4 + 17*f**2/2 - 80*f + 128.
-(f - 16)**2*(f - 2)/4
Determine b, given that 2*b**2/7 + 592*b/7 + 43808/7 = 0.
-148
Factor s**2/4 + 59*s/4 + 29/2.
(s + 1)*(s + 58)/4
Factor -3*p**4/4 - 219*p**3/4 - 54*p**2.
-3*p**2*(p + 1)*(p + 72)/4
Solve 2*v**5/11 + 14*v**4/11 - 36*v**3/11 + 4*v**2/11 + 34*v/11 - 18/11 = 0 for v.
-9, -1, 1
Let -21*r**3/2 - 219*r**2/2 - 45*r = 0. What is r?
-10, -3/7, 0
What is o in -o**5/8 + 455*o**4 + 7285*o**3/4 + 5465*o**2/2 + 14575*o/8 + 911/2 = 0?
-1, 3644
Find i, given that 6*i**5 - 117*i**4 + 246*i**3 + 153*i**2 = 0.
-1/2, 0, 3, 17
What is h in -2*h**2/9 - 17356*h/9 - 37653842/9 = 0?
-4339
Solve 13*p**5 - 908*p**4 + 15772*p**3 + 3358*p**2 - 15785*p - 2450 = 0 for p.
-1, -2/13, 1, 35
Factor i**3 + 10*i**2 - 31*i - 220.
(i - 5)*(i + 4)*(i + 11)
Let 18*q**5/17 - 888*q**4/17 + 508*q**3 + 58544*q**2/17 + 36018*q/17 + 5832/17 = 0. Calculate q.
-4, -1/3, 27
Factor 3*x**2/2 - 69*x/2 - 261.
3*(x - 29)*(x + 6)/2
Find k, given that 2*k**2/7 + 298*k/7 - 3520/7 = 0.
-160, 11
Let 2*j**5 + 68*j**4 - 146*j**3 - 68*j**2 + 144*j = 0. Calculate j.
-36, -1, 0, 1, 2
Factor t**2 + 67*t - 600.
(t - 8)*(t + 75)
Suppose -i**2/2 - 26*i - 51/2 = 0. Calculate i.
-51, -1
Factor 4*q**4 + 232*q**3 + 3588*q**2 + 6496*q + 3136.
4*(q + 1)**2*(q + 28)**2
Factor 2*q**4 - 12*q**3 + 18*q**2 - 8*q.
2*q*(q - 4)*(q - 1)**2
Find f, given that 20*f**5 - 115*f**4 - 770*f**3 + 1135*f**2 + 4650*f + 1080 = 0.
-4, -2, -1/4, 3, 9
Determine a so that -4*a**2/3 - 20*a + 136/3 = 0.
-17, 2
Factor -g**4/2 - 7*g**3.
-g**3*(g + 14)/2
Factor 3*a**4/5 + 18*a**3/5 + 3*a**2.
3*a**2*(a + 1)*(a + 5)/5
Solve -5*y**4 + 520*y**3 - 1525*y**2 + 1010*y = 0.
0, 1, 2, 101
Let -3*a**2/2 + 7902*a - 10406934 = 0. What is a?
2634
Let -15*h**5 + 114*h**4 - 153*h**3 + 54*h**2 = 0. What is h?
0, 3/5, 1, 6
Suppose 34*k**3/11 + 69*k**2/11 - 508*k/11 - 15/11 = 0. What is k?
-5, -1/34, 3
Let -35*y**5 + 3160*y**4 + 22480*y**3 + 30490*y**2 + 6355*y - 4850 = 0. Calculate y.
-5, -1, 2/7, 97
Factor 2*b**3/11 - 18*b**2/11 + 40*b/11 - 24/11.
2*(b - 6)*(b - 2)*(b - 1)/11
Factor -c**2/12 - 6*c - 108.
-(c + 36)**2/12
Find d, given that -3*d**4 + 12*d**3 + 57*d**2 + 42*d = 0.
-2, -1, 0, 7
Determine z, given that -8*z**5 + 20*z**4 - 12*z**3 - 4*z**2 + 4*z = 0.
-1/2, 0, 1
Let 4*h**3 - 6504*h**2 - 13020*h - 6512 = 0. Calculate h.
-1, 1628
Factor -2*o**3/13 - 30*o**2/13 + 8*o/13 + 120/13.
-2*(o - 2)*(o + 2)*(o + 15)/13
Factor -5*v**3 - 410*v**2 - 1195*v - 790.
-5*(v + 1)*(v + 2)*(v + 79)
Solve -2*i**2 - 6148*i - 6146 = 0 for i.
-3073, -1
Solve -s**2/3 + 4504*s - 15214512 = 0.
6756
Factor -4*q**3 - 60*q**2 + 136*q.
-4*q*(q - 2)*(q + 17)
Find z, given that 2*z**3/3 - 614*z**2/3 + 15810*z - 15606 = 0.
1, 153
Factor 2*g**5/19 - 2*g**4/19 - 12*g**3/19.
2*g**3*(g - 3)*(g + 2)/19
Let -5*g**5 + 240*g**4 - 3580*g**3 + 19360*g**2 - 11520*g - 133120 = 0. Calculate g.
-2, 8, 26
Factor -5*z**3 - 150*z**2 - 645*z - 500.
-5*(z + 1)*(z + 4)*(z + 25)
Factor -3*y**5 - 27*y**4 + 1863*y**3 + 19035*y**2 - 291600*y - 3280500.
-3*(y - 18)**2*(y + 15)**3
Factor -95*s**3 + 295*s**2 - 220*s + 20.
-5*(s - 2)*(s - 1)*(19*s - 2)
Determine q so that 2*q**2/7 + 424*q/7 + 22472/7 = 0.
-106
Factor g**3 - 5*g**2 + 2*g + 8.
(g - 4)*(g - 2)*(g + 1)
What is q in 5*q**2 + 5*q - 10 = 0?
-2, 1
Let -2*t**2/7 - 194*t/7 + 28 = 0. What is t?
-98, 1
Factor p**3/2 + 133*p**2 + 265*p/2.
p*(p + 1)*(p + 265)/2
Let -3*f**3/4 + 693*f**2/2 - 160083*f/4 = 0. Calculate f.
0, 231
Factor -18*v**2 - 528*v - 3872.
-2*(3*v + 44)**2
Solve -3*k**5 + 174*k**4 - 1395*k**3 + 3576*k**2 - 2352*k = 0.
0, 1, 4, 49
Factor -2*x**5 - 10*x**4 - 2*x**3 + 34*x**2 + 44*x + 16.
-2*(x - 2)*(x + 1)**3*(x + 4)
Factor -3*k**2 + 16710*k - 23268675.
-3*(k - 2785)**2
Factor l**2 + 19*l/2 + 15.
(l + 2)*(2*l + 15)/2
Suppose 4*h**4/5 - 48*h**3/5 + 68*h**2/5 + 72*h = 0. What is h?
-2, 0, 5, 9
Suppose 2*y**2/17 + 10*y/17 + 8/17 = 0. What is y?
-4, -1
Find h, given that -5*h**4 + 1270*h**3 - 2500*h**2 - 5080*h + 10080 = 0.
-2, 2, 252
Determine t, given that -3*t**4/4 + 3*t**3/2 + 243*t**2/4 - 3*t/2 - 60 = 0.
-8, -1, 1, 10
Determine v so that 3*v**3 - 84*v**2 + 156*v = 0.
0, 2, 26
Determine k so that 3*k**5 + 19*k**4 + 7*k**3 - 59*k**2 + 30*k = 0.
-5, -3, 0, 2/3, 1
Factor 2*m**4 + 4*m**3 - 22*m**2 - 24*m + 72.
2*(m - 2)**2*(m + 3)**2
Determine o, given that -2*o**5/5 + 336*o**4/5 - 19482*o**3/5 + 455956*o**2/5 - 802368*o + 1270080 = 0.
2, 20, 63
Suppose 7*d**4/2 - 20*d**3 - 75*d**2/2 + 180*d + 54 = 0. What is d?
-3, -2/7, 3, 6
Find s such that 3*s**4 + 810*s**3 + 52164*s**2 - 342792*s = 0.
-138, 0, 6
Let x**2 - 49*x - 330 = 0. What is x?
-6, 55
Factor -2*f**3/13 - 2*f**2 + 36*f/13 + 720/13.
-2*(f - 5)*(f + 6)*(f + 12)/13
Factor 2*o**4 + 4*o**3 + 2*o**2.
2*o**2*(o + 1)**2
Factor -4*b**4/3 + 176*b**3/3 - 1748*b**2/3 - 4232*b/3.
-4*b*(b - 23)**2*(b + 2)/3
Suppose 2*w**2/5 - 7872*w/5 + 7746048/5 = 0. Calculate w.
1968
What is w in w**5 + 11*w**4 + 46*w**3 + 92*w**2 + 88*w + 32 = 0?
-4, -2, -1
Factor -2*r**3/11 - 38*r**2/11 + 2*r/11 + 38/11.
-2*(r - 1)*(r + 1)*(r + 19)/11
What is v in 3*v**3/2 - 6249*v**2/2 = 0?
0, 2083
Let -2*p**4/9 + 530*p**3/9 - 1052*p**2/9 = 0. Calculate p.
0, 2, 263
Factor -r**3/5 - 2*r**2 + 52*r/5 - 56/5.
-(r - 2)**2*(r + 14)/5
Factor -2*i**5/7 - 30*i**4/7.
-2*i**4*(i + 15)/7
Suppose 2*c**2/7 - 13348*c/7 + 22271138/7 = 0. Calculate c.
3337
Let 363*n**4/5 + 32901*n**3/5 - 2400*n**2 + 1092*n/5 = 0. What is n?
-91, 0, 2/11
Determine x, given that -5*x**2 + 75*x + 170 = 0.
-2, 17
What is n in 2*n**4 - 242*n**3 - 740*n**2 - 496*n = 0?
-2, -1, 0, 124
Factor 9*j**3 - 222*j**2 - 324*j + 312.
3*(j - 26)*(j + 2)*(3*j - 2)
What is f in -3*f**4/7 + 33*f**3/7 - 114*f**2/7 + 156*f/7 - 72/7 = 0?
1, 2, 6
Factor 4*v**5/7 - 460*v**4/7 + 5136*v**3/7 - 20032*v**2/7 + 26368*v/7.
4*v*(v - 103)*(v - 4)**3/7
Factor -28*t**3/9 + 4504*t**2/3 - 544660*t/3 + 929296/9.
-4*(t - 241)**2*(7*t - 4)/9
Find h such that 375*h**5 + 1325*h**4 + 510*h**3 - 1140*h**2 + 280*h = 0.
-7/3, -2, 0, 2/5
Factor 6*v**5/5 + 24*v**4/5 + 18*v**3/5.
6*v**3*(v + 1)*(v + 3)/5
Find l such that -5*l**4/2 - 35*l**3/2 + 265*l**2/2 - 405*l/2 + 90 = 0.
-12, 1, 3
Factor 101*x**2/2 + 103*x/2 + 1.
(x + 1)*(101*x + 2)/2
Factor 4*p**4 + 3984*p**3 + 1318680*p**2 + 143712144*p - 443112444.
4*(p - 3)*(p + 333)**3
Factor -2*k**4/11 + 54*k**3/11 + 240*k**2/11 + 248*k/11.
-2*k*(k - 31)*(k + 2)**2/11
Find m such that 36*m**5 + 12*m**4 - 92*m**3 + 52*m**2 - 8*m = 0.
-2, 0, 1/3, 1
Factor -21*g**3 + 36*g**2 + 27*g - 30.
-3*(g - 2)*(g + 1)*(7*g - 5)
Factor x**2/7 + 446*x +