e u so that 3*u**2/4 + 519*u/4 = 0.
-173, 0
Factor -5*s**3/3 + 25*s**2/3 + 40*s/3 - 20.
-5*(s - 6)*(s - 1)*(s + 2)/3
Determine r, given that -2*r**2/3 + 68*r/3 + 48 = 0.
-2, 36
Suppose -y**5/5 + 10*y**4 - 137*y**3/5 - 40*y**2 + 564*y/5 = 0. What is y?
-2, 0, 2, 3, 47
Suppose -25*g**5/2 - 65*g**4/4 + 55*g**3/4 + 85*g**2/4 - 5*g/4 - 5 = 0. Calculate g.
-1, -4/5, 1/2, 1
Factor -j**2 + 7*j + 44.
-(j - 11)*(j + 4)
Solve l**5/7 - 9*l**4/7 - 81*l**3/7 - 131*l**2/7 - 60*l/7 = 0.
-4, -1, 0, 15
Solve i**4/6 + 8*i**3 + 311*i**2/3 + 184*i + 529/6 = 0.
-23, -1
Suppose -3*f**2 - 510*f + 2625 = 0. Calculate f.
-175, 5
Factor -j**4/6 - 28*j**3 + 511*j**2/6 - 57*j.
-j*(j - 2)*(j - 1)*(j + 171)/6
Factor 3*v**2 + 78*v + 75.
3*(v + 1)*(v + 25)
Find c such that 2*c**4 + 58*c**3 + 160*c**2 + 104*c = 0.
-26, -2, -1, 0
Suppose -2*q**5/7 + 18*q**4/7 - 58*q**3/7 + 78*q**2/7 - 36*q/7 = 0. Calculate q.
0, 1, 2, 3
Suppose 4*i**2 + 13648*i - 13652 = 0. What is i?
-3413, 1
Suppose -5*y**3/2 + 95*y**2/4 - 275*y/4 + 125/2 = 0. Calculate y.
2, 5/2, 5
Determine w, given that 3*w**3 - 2727*w**2 - 5463*w - 2733 = 0.
-1, 911
Let n**3 - 99*n**2 - 750*n + 848 = 0. Calculate n.
-8, 1, 106
Suppose 32*r**4 - 304*r**3 - 510*r**2 - 196*r - 22 = 0. Calculate r.
-1, -1/4, 11
Let -2*f**3/5 + 20*f**2 - 1344*f/5 + 2304/5 = 0. Calculate f.
2, 24
Factor -f**5 - 7*f**4 - 10*f**3 + 2*f**2 + 11*f + 5.
-(f - 1)*(f + 1)**3*(f + 5)
Factor -3*u**5/7 - 27*u**4/7 - 24*u**3/7.
-3*u**3*(u + 1)*(u + 8)/7
Solve -35*f**4 + 195*f**3 - 240*f**2 + 80*f = 0 for f.
0, 4/7, 1, 4
Solve 3*o**4 - 6*o**3 - 24*o**2 + 54*o - 27 = 0 for o.
-3, 1, 3
Let 3*n**3/2 - 873*n**2/2 + 84681*n/2 - 2738019/2 = 0. What is n?
97
Factor 5*a**2 + 21060*a + 22176180.
5*(a + 2106)**2
Factor q**4/4 + 32*q**3 + 717*q**2/4 - 911*q/2 + 244.
(q - 1)**2*(q + 8)*(q + 122)/4
Solve -5*u**3 + 50*u**2 - 65*u - 120 = 0.
-1, 3, 8
Factor 242*l**4/7 + 2068*l**3/7 + 4946*l**2/7 + 2256*l/7 + 288/7.
2*(l + 4)**2*(11*l + 3)**2/7
Find w, given that -5*w**3/3 + 35*w**2/3 + 80*w - 300 = 0.
-6, 3, 10
Solve -2*n**5/3 - 12*n**4 + 40*n**3 - 124*n**2/3 + 14*n = 0.
-21, 0, 1
Solve s**2 + 3*s = 0 for s.
-3, 0
Factor 2*m**4/15 + 56*m**3/15 + 332*m**2/15 - 56*m + 30.
2*(m - 1)**2*(m + 15)**2/15
Factor -n**4/5 + 18*n**3/5 + 83*n**2/5 + 108*n/5 + 44/5.
-(n - 22)*(n + 1)**2*(n + 2)/5
Factor u**2/2 + 41*u + 80.
(u + 2)*(u + 80)/2
Suppose -2*b**5/13 + 4*b**4/13 + 6*b**3/13 - 16*b**2/13 + 8*b/13 = 0. What is b?
-2, 0, 1, 2
What is i in -21*i**2/5 + 51*i/5 = 0?
0, 17/7
Factor -11*c**5 + 46*c**4 - 52*c**3 + 8*c**2.
-c**2*(c - 2)**2*(11*c - 2)
Suppose -180*v**4/19 - 94*v**3/19 + 168*v**2/19 + 94*v/19 + 12/19 = 0. Calculate v.
-1, -3/10, -2/9, 1
Determine l so that l**2 + 170*l + 825 = 0.
-165, -5
Factor 66*c**3/5 - 294*c**2/5 - 36*c.
6*c*(c - 5)*(11*c + 6)/5
Factor -3*h**3 - 3*h**2 + 243*h + 243.
-3*(h - 9)*(h + 1)*(h + 9)
Solve -5*q**2 - 14120*q - 9968720 = 0 for q.
-1412
Find v, given that 12*v**2 - 3*v/4 - 45/4 = 0.
-15/16, 1
Factor 2*l**3/7 + 54*l**2/7 + 390*l/7 + 850/7.
2*(l + 5)**2*(l + 17)/7
Determine x so that 2*x**2/9 + 32*x/3 - 1586/9 = 0.
-61, 13
Factor c**2/9 - 262*c/3 - 263.
(c - 789)*(c + 3)/9
Factor 3*d**2 + 36*d + 105.
3*(d + 5)*(d + 7)
Solve 14*h**3/9 + 68*h**2 + 2200*h/3 - 1936/9 = 0.
-22, 2/7
Factor c**4 - 38*c**3 + 425*c**2 - 1156*c.
c*(c - 17)**2*(c - 4)
Factor u**3/2 - u**2/2 - 9*u/2 + 9/2.
(u - 3)*(u - 1)*(u + 3)/2
Determine q, given that -4*q**3 - 176*q**2 - 2240*q - 6400 = 0.
-20, -4
Factor 3*b**4/5 + 12*b**3 + 234*b**2/5 - 132*b + 363/5.
3*(b - 1)**2*(b + 11)**2/5
Find j, given that 24389*j**5/9 - 14297*j**4/9 - 2900*j**3/3 - 1328*j**2/9 - 64*j/9 = 0.
-4/29, 0, 1
Factor -3*o**3/7 - 459*o**2/7 + 981*o - 3507.
-3*(o - 7)**2*(o + 167)/7
Factor -3*b**3 - 6*b**2 - 3*b.
-3*b*(b + 1)**2
Solve 5*r**3 + 205*r**2 - 1630*r + 2400 = 0.
-48, 2, 5
Factor -2*z**2 - 14264*z - 25432712.
-2*(z + 3566)**2
Suppose -5*l**4 + 3445*l**3 - 595120*l**2 + 591680*l = 0. What is l?
0, 1, 344
Suppose 2*b**2/9 + 466*b/9 - 52 = 0. What is b?
-234, 1
Factor b**5 - 11*b**4 + 27*b**3 - 25*b**2 + 8*b.
b*(b - 8)*(b - 1)**3
Solve h**2 - 9*h - 22 = 0 for h.
-2, 11
Determine l so that 2*l**2/3 - 112*l/3 + 1568/3 = 0.
28
Factor 2*j**2/9 + 3196*j/9 + 1276802/9.
2*(j + 799)**2/9
Factor -2*r**3/9 + 1004*r**2/9 + 1010*r/9 - 2012/9.
-2*(r - 503)*(r - 1)*(r + 2)/9
Factor d**2/8 - 4*d + 32.
(d - 16)**2/8
Determine x, given that 2*x**5 + 588*x**4 + 44360*x**3 + 165300*x**2 - 210250*x = 0.
-145, -5, 0, 1
Factor 3*d**2/5 + 48*d + 468/5.
3*(d + 2)*(d + 78)/5
Solve 2*i**3 - 10*i**2 + 8*i = 0 for i.
0, 1, 4
Factor w**3/2 + 99*w**2 - 199*w/2.
w*(w - 1)*(w + 199)/2
Let -n**4/2 - 15*n**3/4 - 5*n**2/4 + 15*n/4 + 7/4 = 0. What is n?
-7, -1, -1/2, 1
Suppose -65*b**3 + 193*b**2 + 6*b = 0. What is b?
-2/65, 0, 3
Factor 15*q**3/8 - 267*q**2/4 + 309*q/8 + 105/4.
3*(q - 35)*(q - 1)*(5*q + 2)/8
Determine r so that -2*r**3 - 2938*r**2/11 - 1596*r/11 = 0.
-133, -6/11, 0
Find u, given that 2*u**4/5 + 58*u**3/5 + 156*u**2/5 = 0.
-26, -3, 0
Solve -s**4/4 + 5*s**3/2 - 37*s**2/4 + 15*s - 9 = 0 for s.
2, 3
Determine c, given that -5*c**4 + 625*c**3 - 2440*c**2 + 2420*c = 0.
0, 2, 121
Solve -h**4 + 2*h**3/3 + 4*h**2/3 - 2*h/3 - 1/3 = 0.
-1, -1/3, 1
Let 3*z**3 + 9*z**2 - 30*z = 0. What is z?
-5, 0, 2
Find y, given that 15*y**4 - 63*y**3/5 - 87*y**2/5 + 63*y/5 + 12/5 = 0.
-1, -4/25, 1
Suppose 2*i**2/5 - 492*i/5 = 0. Calculate i.
0, 246
Factor 2*x**2/11 + 156*x/11 - 1376/11.
2*(x - 8)*(x + 86)/11
Solve -2*q**3/3 - 122*q**2/3 - 952*q/3 - 832/3 = 0 for q.
-52, -8, -1
Factor -r**4/7 - 11*r**3/7 - 5*r**2 - 25*r/7.
-r*(r + 1)*(r + 5)**2/7
Factor -j**2/3 + 2*j - 3.
-(j - 3)**2/3
What is k in 5*k**3/6 - 365*k**2/6 + 815*k/3 + 2380/3 = 0?
-2, 7, 68
Determine s so that -147*s**5 - 63*s**4 + 1542*s**3 - 2028*s**2 + 792*s - 96 = 0.
-4, 2/7, 1, 2
Factor -f**5/2 - 88*f**4 + 267*f**3 - 268*f**2 + 179*f/2.
-f*(f - 1)**3*(f + 179)/2
Factor j**2 - 208*j + 207.
(j - 207)*(j - 1)
Let 27*j**4 + 1179*j**3 + 4017*j**2 + 2289*j + 360 = 0. What is j?
-40, -3, -1/3
Factor -z**3/3 - 56*z**2/3 + 115*z/3 - 58/3.
-(z - 1)**2*(z + 58)/3
Solve 2*u**2 + 18*u - 44 = 0.
-11, 2
Find m such that m**4 + 4*m**3 + 3*m**2 - 4*m - 4 = 0.
-2, -1, 1
Factor -z**2 - 566*z + 567.
-(z - 1)*(z + 567)
Find g, given that 4*g**3 + 28*g**2 - 4*g - 28 = 0.
-7, -1, 1
Solve 2*b**3 + 2*b**2 = 0.
-1, 0
Solve h**2/8 + 25*h/4 + 625/8 = 0.
-25
Solve 3*m**3 - 51*m**2 + 168*m - 156 = 0 for m.
2, 13
Find q such that -4*q**4/9 - 626*q**3/9 - 2150*q**2/9 - 1216*q/9 + 136 = 0.
-153, -2, 1/2
Let 2*j**3/3 - 632*j**2 + 149150*j + 902500/3 = 0. What is j?
-2, 475
Determine o, given that 243*o**4/4 - 2565*o**3/4 + 627*o**2/2 + 237*o + 30 = 0.
-2/9, 1, 10
Find h such that h**2/5 - 76*h/5 - 237/5 = 0.
-3, 79
Solve 52*u**4 + 164*u**3 + 180*u**2 + 76*u + 8 = 0 for u.
-1, -2/13
Factor -2*n**2/5 - 6*n - 28/5.
-2*(n + 1)*(n + 14)/5
What is m in 18*m**4/13 + 58*m**3/13 + 48*m**2/13 + 8*m/13 = 0?
-2, -1, -2/9, 0
Let 3*b**4 - 14*b**3 - 41*b**2 + 96*b + 36 = 0. What is b?
-3, -1/3, 2, 6
Factor l**2 + 41*l - 42.
(l - 1)*(l + 42)
Suppose h**4/3 + 30*h**3 - 185*h**2/3 - 30*h + 184/3 = 0. What is h?
-92, -1, 1, 2
Factor 3*s**4 - 30*s**3 + 84*s**2 - 18*s - 135.
3*(s - 5)*(s - 3)**2*(s + 1)
Factor -r**3/4 - 547*r**2/4 - 18632*r + 18769.
-(r - 1)*(r + 274)**2/4
Solve 2*g**3 - 132*g**2 - 414*g = 0 for g.
-3, 0, 69
Let -k**4/3 + 22*k**3/3 - 41*k**2/3 + 20*k/3 = 0. What is k?
0, 1, 20
Determine b so that -b**3/6 + 34*b**2/3 - 569*b/6 - 319/3 = 0.
-1, 11, 58
Determine k so that -k**5/4 - 3*k**4/4 + 3*k**3/4 + 11*k**2/4 + 3*k/2 = 0.
-3, -1, 0, 2
Solve g**4 + 12*g**3 + 46*g**2 + 60*g + 25 = 0 for g.
-5, -1
Determine h, given that 9*h**3 + 83*h**2 - 180*h - 44 = 0.
-11, -2/9, 2
Factor 2*a**2/3 + 68*a/3 - 70/3.
2*(a - 1)*(a + 35)/3
Factor 12*r**2/7 - 356*r/7 + 232/7.
4*(r - 29)*(3*r - 2)/7
Factor -2*v**3/3 + 62*v**2 - 60*v - 368/3.
-2*(v - 92)*(v - 2)*(v + 1)/3
Suppose 3*q**4/2 - 234*q**3 + 8889*q**2 + 18486*q + 18723/2 = 0. Calculate q.
-1, 79
Let 2*w**2/9 - 456*w - 4106/9 = 0. Calculate w.
-1, 2053
Determine t so that 5*t**4 - 45*t**3 + 540*t = 0.
-3, 0, 6
Factor -w**4 + 182*w**3 - 533*w**2 - 716*w.
-w*(w - 179)*(w - 4)*(w + 1)
Let -3*p**4 + 15*p**2 - 12 = 0. Calculate p.
-2, -1, 1, 2
Determine p, given that -2*p**