85.
-5*(u + 1)**2*(u + 37)
Let 52*j**5 + 81*j**4 + 33*j**3 + 4*j**2 = 0. Calculate j.
-1, -4/13, -1/4, 0
Let 20*i**5/7 + 7908*i**4/7 + 11000*i**3/7 - 12624*i**2/7 - 6304*i/7 = 0. What is i?
-394, -2, -2/5, 0, 1
Factor 3*f**4 + 126*f**3 + 735*f**2.
3*f**2*(f + 7)*(f + 35)
Solve 8*n**5 + 38*n**4 + 46*n**3 + 10*n**2 - 6*n = 0 for n.
-3, -1, 0, 1/4
What is u in -3*u**5 - 18*u**4 - 18*u**3 + 48*u**2 + 45*u - 54 = 0?
-3, -2, 1
Let -6*h**2/7 + 396*h - 45738 = 0. What is h?
231
Factor -4*v**2 + 8*v + 140.
-4*(v - 7)*(v + 5)
Solve -s**5 - 20*s**4 - 64*s**3 + 322*s**2 - 367*s + 130 = 0 for s.
-13, -10, 1
Suppose 4*f**3 - 40*f**2 - 28*f + 784 = 0. Calculate f.
-4, 7
Find a, given that -a**4/3 - 28*a**3/3 + a**2/3 + 28*a/3 = 0.
-28, -1, 0, 1
Factor 4*t**2 + 132*t - 136.
4*(t - 1)*(t + 34)
Factor 14*t**3 - 956*t**2 + 272*t.
2*t*(t - 68)*(7*t - 2)
Find w, given that w**5/5 - 74*w**4/5 + 1872*w**3/5 - 3456*w**2 + 27648*w/5 = 0.
0, 2, 24
Solve -2*n**2 = 0.
0
Factor -4*v**3/7 + 8*v**2/7 + 96*v/7.
-4*v*(v - 6)*(v + 4)/7
Factor -3*k**2/5 - 168*k/5 - 324/5.
-3*(k + 2)*(k + 54)/5
What is h in -2*h**4/9 - 4*h**3 - 88*h**2/9 + 4*h + 10 = 0?
-15, -3, -1, 1
Factor 3*y**2 - 4164*y + 1444908.
3*(y - 694)**2
Determine a so that 3*a**4 + 588*a**3 + 28812*a**2 = 0.
-98, 0
Factor 289*k**5 - 1037*k**4 + 1402*k**3 - 874*k**2 + 245*k - 25.
(k - 1)**3*(17*k - 5)**2
Solve 4*m**2 + 452*m - 1872 = 0 for m.
-117, 4
Let 8*z**2/3 + 10*z/3 - 4 = 0. What is z?
-2, 3/4
What is r in r**5/2 - 12*r**4 - 26*r**3 = 0?
-2, 0, 26
Factor -g**3/3 - 7*g**2/3 - 4*g/3 + 4.
-(g - 1)*(g + 2)*(g + 6)/3
Determine f so that 9*f**4 - 74*f**3 + 97*f**2 + 144*f - 36 = 0.
-1, 2/9, 3, 6
Let -5*s**5/3 + 20*s**4/3 + 25*s**3/3 - 100*s**2/3 - 20*s/3 + 80/3 = 0. What is s?
-2, -1, 1, 2, 4
Find g such that -g**3/3 - 49*g**2 - 1776*g + 5476/3 = 0.
-74, 1
Find o, given that -o**4 - 10*o**3 - 29*o**2 - 32*o - 12 = 0.
-6, -2, -1
What is d in d**3 + 89*d**2 - 274*d + 184 = 0?
-92, 1, 2
Find n such that -2*n**4 + 72*n**3 - 316*n**2 + 168*n + 558 = 0.
-1, 3, 31
Factor -4*r**3 + 68*r**2.
-4*r**2*(r - 17)
Let -z**5/2 + 11*z**4 - 79*z**3 + 208*z**2 - 441*z/2 + 81 = 0. Calculate z.
1, 2, 9
Let -4*y**4 + 84*y**3 + 288*y**2 = 0. What is y?
-3, 0, 24
Factor -2*w**5/3 + 94*w**4/3 - 1232*w**3/3 + 968*w**2.
-2*w**2*(w - 22)**2*(w - 3)/3
Suppose -14*i**3 - 43*i**2 + 53*i + 4 = 0. Calculate i.
-4, -1/14, 1
Solve -2*z**2 + 12768*z - 20377728 = 0.
3192
Determine z so that -z**2/7 + 102*z/7 - 2201/7 = 0.
31, 71
Factor -y**2/2 - 7*y + 51/2.
-(y - 3)*(y + 17)/2
Find a such that 5*a**3 - 3775*a**2 + 714415*a - 710645 = 0.
1, 377
Factor 3*b**3/2 - 7*b**2/2 - 84*b - 54.
(b - 9)*(b + 6)*(3*b + 2)/2
Factor -2*k**4/19 + 148*k**3/19 - 136*k**2 - 304*k.
-2*k*(k - 38)**2*(k + 2)/19
Determine v so that -5*v**3 + 20*v**2 + 20*v - 80 = 0.
-2, 2, 4
Find j such that j**5 - 39*j**4 - 168*j**3 - 172*j**2 = 0.
-2, 0, 43
Suppose 5*n**4 + 175*n**3 + 910*n**2 + 1160*n = 0. Calculate n.
-29, -4, -2, 0
Determine p, given that 12*p**3 + 1040*p**2 + 684*p - 344 = 0.
-86, -1, 1/3
Suppose 5*b**3/4 - 5*b**2 - 95*b/4 - 35/2 = 0. What is b?
-2, -1, 7
Find c such that c**4/6 - 47*c**3/2 - c**2/2 + 425*c/6 - 47 = 0.
-2, 1, 141
Factor r**2 + 39*r + 198.
(r + 6)*(r + 33)
Factor 2*g**4/11 + 316*g**3/11 + 936*g**2/11 + 932*g/11 + 310/11.
2*(g + 1)**3*(g + 155)/11
Suppose 33*d**5/7 + 303*d**4/7 - 1530*d**3/7 + 204*d**2 + 312*d/7 = 0. What is d?
-13, -2/11, 0, 2
Factor -y**4/3 - 28*y**3/3 - 12*y**2 + 864*y.
-y*(y - 8)*(y + 18)**2/3
What is x in 147*x**4/8 + 84*x**3 - 2739*x**2/8 - 429*x/2 - 63/2 = 0?
-7, -2/7, 3
Let -2*b**3/5 - 138*b**2/5 - 462*b + 490 = 0. Calculate b.
-35, 1
Solve 3*o**2/5 - 3*o/5 = 0 for o.
0, 1
Solve 3*b**4 + 6*b**3 - 171*b**2 - 510*b - 336 = 0.
-7, -2, -1, 8
Find g, given that g**5/4 - 61*g**3 + 361*g**2/2 - 717*g/4 + 119/2 = 0.
-17, 1, 14
Solve -242*x**5 - 572*x**4 + 1510*x**3 - 368*x**2 - 296*x - 32 = 0.
-4, -2/11, 1
Let 4*b**5 + 24*b**4 + 20*b**3 - 48*b**2 = 0. What is b?
-4, -3, 0, 1
Factor c**3 - 200*c**2 - 403*c - 202.
(c - 202)*(c + 1)**2
What is a in -2*a**5/9 + 4*a**3/9 - 2*a/9 = 0?
-1, 0, 1
Solve 3*l**4 + 39*l**3 + 144*l**2 + 204*l + 96 = 0.
-8, -2, -1
Find x such that -3*x**2 + 93*x - 720 = 0.
15, 16
Factor 4*y**3 - 2468*y**2 + 14700*y - 21996.
4*(y - 611)*(y - 3)**2
Factor 3*i**2/4 - 21*i/4 + 9.
3*(i - 4)*(i - 3)/4
Factor -5*y**3 + 235*y**2 - 880*y + 860.
-5*(y - 43)*(y - 2)**2
Factor a**3/2 - a**2 - 3*a/2.
a*(a - 3)*(a + 1)/2
Determine p, given that -3*p**2/7 + 33*p/7 + 180/7 = 0.
-4, 15
Factor 2*u**4/5 + 24*u**3/5 + 22*u**2/5.
2*u**2*(u + 1)*(u + 11)/5
Factor -4*w**2 - 252*w - 248.
-4*(w + 1)*(w + 62)
Factor -2*w**4/3 + 17*w**3/3 - 40*w**2/3 + 16*w/3.
-w*(w - 4)**2*(2*w - 1)/3
Factor -10*v**4 + 54*v**3 - 14*v**2 - 30*v.
-2*v*(v - 5)*(v - 1)*(5*v + 3)
Factor l**2/3 + 106*l/3 + 2809/3.
(l + 53)**2/3
Let 3*n**2 + 6*n + 3 = 0. What is n?
-1
Let -60*r**5 - 8*r**4/11 + 45*r**3 - 159*r**2/11 - 2*r/11 = 0. Calculate r.
-1, -2/165, 0, 1/2
Factor -a**4/8 - 19*a**3/4 - 9*a**2/2 + 19*a/4 + 37/8.
-(a - 1)*(a + 1)**2*(a + 37)/8
Solve -l**3/5 - 36*l**2/5 + 15*l - 38/5 = 0.
-38, 1
Suppose -2*o**5/3 + 122*o**4/3 - 1748*o**3/3 - 13900*o**2/3 + 253750*o/3 + 1531250/3 = 0. Calculate o.
-7, 25
Factor -o**4/4 - o**3/2 + 3*o**2 + 9*o/2 - 27/4.
-(o - 3)*(o - 1)*(o + 3)**2/4
Suppose 4*l**3 + 3396*l**2 + 961068*l + 90660748 = 0. What is l?
-283
Factor -4*v**4 - 12*v**3 + 20*v**2 + 12*v - 16.
-4*(v - 1)**2*(v + 1)*(v + 4)
Suppose 4*i**2 - 328*i - 7200 = 0. What is i?
-18, 100
Let q**2 + 33*q - 34 = 0. Calculate q.
-34, 1
Factor -f**2 - 1507*f + 4530.
-(f - 3)*(f + 1510)
Factor v**3 + 1142*v**2 + 324896*v - 654368.
(v - 2)*(v + 572)**2
Factor 4*a**5/7 - 92*a**4/7 + 108*a**3 - 364*a**2 + 392*a.
4*a*(a - 7)**3*(a - 2)/7
Factor h**2/3 + 2*h/3 - 8.
(h - 4)*(h + 6)/3
Determine i, given that 3*i**2 + 3150*i + 3147 = 0.
-1049, -1
Factor -5*a**4 + 5*a**2.
-5*a**2*(a - 1)*(a + 1)
Find i such that 5*i**2 - 190*i - 400 = 0.
-2, 40
Factor 4*m**2/5 - 16*m/5 + 12/5.
4*(m - 3)*(m - 1)/5
Suppose -o**2 + 3*o + 18 = 0. What is o?
-3, 6
Factor -4*y**3 + 152*y**2 - 292*y + 144.
-4*(y - 36)*(y - 1)**2
Factor -5*u**5 + 1660*u**4 + 3335*u**3 + 1670*u**2.
-5*u**2*(u - 334)*(u + 1)**2
What is w in -w**5/9 + 13*w**4/9 - 11*w**3/9 - 13*w**2/9 + 4*w/3 = 0?
-1, 0, 1, 12
Find l, given that 2*l**2 + 2108*l + 2106 = 0.
-1053, -1
Find o such that -4*o**4/5 + 104*o**3/5 - 96*o**2/5 - 104*o/5 + 20 = 0.
-1, 1, 25
Factor 3*i**3 + 66*i**2 + 111*i - 180.
3*(i - 1)*(i + 3)*(i + 20)
Factor 3*b**4/2 + 93*b**3 + 1890*b**2 + 11907*b - 27783/2.
3*(b - 1)*(b + 21)**3/2
Factor r**5 - 5*r**4 + 7*r**3 - 3*r**2.
r**2*(r - 3)*(r - 1)**2
Factor -2*q**2 - 10*q - 12.
-2*(q + 2)*(q + 3)
Solve -3*k**4 - 2100*k**3 - 359004*k**2 + 2973600*k - 6015168 = 0.
-354, 4
Solve -4*l**2 - 8*l + 12 = 0 for l.
-3, 1
Factor -2*z**2 + 3980*z - 1980050.
-2*(z - 995)**2
Factor -3*f**4/2 + 9*f**3 + 3*f**2/2 - 9*f.
-3*f*(f - 6)*(f - 1)*(f + 1)/2
Find r such that -3*r**2 - 642*r - 3135 = 0.
-209, -5
Determine w so that -2*w**2/3 + 16*w/3 + 6 = 0.
-1, 9
Find a such that a**2/2 - 18*a + 34 = 0.
2, 34
Factor -3*s**4 - 870*s**3 + 1749*s**2 - 876*s.
-3*s*(s - 1)**2*(s + 292)
Factor 4*l**5 - 44*l**4 - 100*l**3 - 52*l**2.
4*l**2*(l - 13)*(l + 1)**2
Solve 4*l**3/7 + 192*l**2/7 - 4*l/7 - 192/7 = 0 for l.
-48, -1, 1
Factor -g**4 + 1496*g**3 - 560998*g**2 + 1117512*g - 558009.
-(g - 747)**2*(g - 1)**2
Find g such that -3*g**4 - 42*g**3 - 60*g**2 + 168*g + 288 = 0.
-12, -2, 2
What is v in v**4/2 - 41*v**3/2 - 21*v**2 = 0?
-1, 0, 42
Factor 2*r**2/3 + 40*r/3 + 24.
2*(r + 2)*(r + 18)/3
Factor 108*n**4/7 + 44244*n**3/7 + 4523943*n**2/7 - 1511670*n/7 + 126075/7.
3*(n + 205)**2*(6*n - 1)**2/7
Factor 128*z**4/7 + 32*z**3/7 - 30*z**2/7 - 9*z/7.
z*(2*z - 1)*(8*z + 3)**2/7
Factor 14*v**2/9 + 10*v/3 - 4.
2*(v + 3)*(7*v - 6)/9
Solve -12*y**4 - 39*y**3 - 24*y**2 + 21*y + 18 = 0.
-2, -1, 3/4
Factor 4*t**3/5 + 16*t**2 + 308*t/5 - 968/5.
4*(t - 2)*(t + 11)**2/5
Factor 4*b**2 - 1080*b + 72900.
4*(b - 135)**2
Let 4*z**5/7 + 4*z**4 + 12*z**3/7 - 236*z**2/7 - 416*z/7 - 192/7 = 0. What is z?
-4, -1, 3
Suppose -2*u**5 - 22*u**4 + 38*u**3 + 142*u**2 - 300*u + 144 = 0. What is u?
-12, -3, 1, 2
Factor -3*x**2 - 90*x - 375.
-3*(x + 5)*(x + 25)
Determine j, given that -j**2/