ppose z**3/4 - 2*z**2 - z + 8 = 0. Calculate z.
-2, 2, 8
Factor j**2/9 - 307*j/9 + 34.
(j - 306)*(j - 1)/9
Factor -2*g**4 + 328*g**3 - 18144*g**2 + 349920*g - 629856.
-2*(g - 54)**3*(g - 2)
Factor 3*l**2/5 - 3343*l/5 - 446.
(l - 1115)*(3*l + 2)/5
Factor -2*q**2/5 + 2*q/5 + 12/5.
-2*(q - 3)*(q + 2)/5
Suppose -5*d**4 + 165*d**3 - 740*d**2 + 1140*d - 560 = 0. Calculate d.
1, 2, 28
Solve 8*r**4 - 2252*r**3 - 7964*r**2 - 4576*r + 4560 = 0.
-2, 1/2, 285
Factor -2*s**3/3 + 4*s**2/3 + 2*s/3 - 4/3.
-2*(s - 2)*(s - 1)*(s + 1)/3
Let n**4/7 - 4*n**3/7 - 87*n**2/7 + 94*n/7 + 176/7 = 0. Calculate n.
-8, -1, 2, 11
Find n, given that 2*n**2/7 - 32*n/7 + 128/7 = 0.
8
Factor -j**3/3 - 5*j**2 - 21*j - 49/3.
-(j + 1)*(j + 7)**2/3
Factor w**3 - 123*w**2 + 1139*w - 1017.
(w - 113)*(w - 9)*(w - 1)
Suppose 2*q**5/9 + 61*q**4/9 + 98*q**3/3 + 488*q**2/9 + 328*q/9 + 25/3 = 0. Calculate q.
-25, -3, -1, -1/2
Factor 3*j**4 + 330*j**3 + 1536*j**2 - 4074*j + 2205.
3*(j - 1)**2*(j + 7)*(j + 105)
Solve -3*f**5/5 + 87*f**4/5 - 912*f**3/5 + 840*f**2 - 1680*f + 1200 = 0.
2, 5, 10
Determine d so that -2*d**2/3 + 16*d - 238/3 = 0.
7, 17
Factor -4*h**4 + 292*h**3 - 5464*h**2 + 4608*h + 10368.
-4*(h - 36)**2*(h - 2)*(h + 1)
Solve -h**3 + 16*h**2 - 15*h = 0.
0, 1, 15
Determine z so that -4*z**3 - 68*z**2 - 224*z - 208 = 0.
-13, -2
Solve 155*i**2 + 12100*i + 780 = 0 for i.
-78, -2/31
Find f, given that 2*f**3 - 42*f**2 + 198*f - 270 = 0.
3, 15
Factor 196*d**2 - 84*d + 9.
(14*d - 3)**2
Let 4*d**5/5 + 24*d**4/5 - 168*d**3/5 - 464*d**2/5 + 3108*d/5 - 3528/5 = 0. What is d?
-7, 2, 3
Let -4*z**4 - 68*z**3 - 252*z**2 - 108*z + 432 = 0. Calculate z.
-12, -3, 1
Let 2*n**3/5 + 12*n**2/5 - 64/5 = 0. Calculate n.
-4, 2
Factor 5*m**4 + 15*m**3 - 165*m**2 + 265*m - 120.
5*(m - 3)*(m - 1)**2*(m + 8)
Find g, given that -303*g**3 + 604*g**2 - 299*g - 2 = 0.
-2/303, 1
Factor -25*i**5 - 130*i**4 + 116*i**3 - 24*i**2.
-i**2*(i + 6)*(5*i - 2)**2
What is n in -6*n**5/11 - 4632*n**4/11 = 0?
-772, 0
Solve 8*m**5/11 - 239*m**4/11 + 834*m**3/11 - 724*m**2/11 - 104*m/11 = 0.
-1/8, 0, 2, 26
Factor -3*y**2 + 3066*y - 783363.
-3*(y - 511)**2
Find n such that 60*n**4 - 302*n**3 + 200*n**2 + 474*n + 72 = 0.
-4/5, -1/6, 3
Factor -x**5/3 - 3*x**4 - 8*x**3/3.
-x**3*(x + 1)*(x + 8)/3
Let 4*m**4/13 - 2*m**3 - 14*m**2/13 + 144*m/13 + 72/13 = 0. Calculate m.
-2, -1/2, 3, 6
Solve -d**4/3 + 2*d**3 + 20*d**2/3 - 8*d - 64/3 = 0.
-2, 2, 8
What is p in -2*p**4/15 - 14*p**3/15 + 34*p**2/15 - 6*p/5 = 0?
-9, 0, 1
Suppose -2*k**2/5 - 318*k/5 = 0. What is k?
-159, 0
Suppose -2*a**3/7 + 120*a**2/7 - 1800*a/7 = 0. Calculate a.
0, 30
Factor -3*i**5/7 + 66*i**4/7 - 234*i**3/7 + 48*i**2 - 219*i/7 + 54/7.
-3*(i - 18)*(i - 1)**4/7
Solve -y**5/8 + 9*y**4/4 - 21*y**3/4 - 7*y**2 + 171*y/8 - 45/4 = 0.
-2, 1, 3, 15
Solve 4*g**4 - 320*g**3 + 7284*g**2 - 56520*g + 86400 = 0 for g.
2, 15, 48
Find j such that -4*j**5 + 124*j**4/5 - 84*j**3/5 - 188*j**2/5 + 8*j = 0.
-1, 0, 1/5, 2, 5
Suppose 2*s**3/3 + 992*s**2/3 - 998*s/3 - 1988/3 = 0. What is s?
-497, -1, 2
Determine i so that -228*i**4/7 - 1376*i**3/7 - 300*i**2 - 72*i/7 = 0.
-3, -2/57, 0
Factor o**4 + 831*o**3 + 173053*o**2 + 170565*o - 344450.
(o - 1)*(o + 2)*(o + 415)**2
Suppose -3*m**3 - 6012*m**2 - 4016016*m - 894232896 = 0. Calculate m.
-668
Factor -2*k**3 - 142*k**2 - 2448*k + 2592.
-2*(k - 1)*(k + 36)**2
Factor s**3/8 - 129*s**2/4 + 19305*s/8 - 41067.
(s - 117)**2*(s - 24)/8
Suppose 2*s**5 + 18*s**4 + 54*s**3 + 46*s**2 - 48*s - 72 = 0. What is s?
-3, -2, 1
Factor -2*i**3/7 + 2*i**2/7 + 52*i/7 + 48/7.
-2*(i - 6)*(i + 1)*(i + 4)/7
Factor 4*r**2/7 - 2448*r/7.
4*r*(r - 612)/7
Factor 68*h**2 - 264*h - 32.
4*(h - 4)*(17*h + 2)
Determine j, given that j**4/4 + 51*j**3/4 + 141*j**2/2 + 137*j + 90 = 0.
-45, -2
Suppose -4*i**5 + 256*i**4 + 1068*i**3 + 1352*i**2 + 544*i = 0. Calculate i.
-2, -1, 0, 68
Suppose -4*t**4/3 + 13*t**3 + 18*t**2 + 11*t/3 = 0. Calculate t.
-1, -1/4, 0, 11
Suppose -w**3/2 - 14*w**2 - 98*w = 0. Calculate w.
-14, 0
Find o such that -2*o**2/5 - 280*o - 49000 = 0.
-350
Let -k**4 - 18*k**3 + 25*k**2 + 114*k = 0. What is k?
-19, -2, 0, 3
Factor -4*f**4 - 4*f**3 + 4*f**2 + 4*f.
-4*f*(f - 1)*(f + 1)**2
Let -2*h**2 + 44*h - 144 = 0. Calculate h.
4, 18
Factor 4*o**2 - 7608*o + 3617604.
4*(o - 951)**2
Solve -5*f**2/2 - 30*f + 65/2 = 0 for f.
-13, 1
Let -42592*m**5 - 3872*m**4 + 25520*m**3 - 11200*m**2 + 20750*m/11 - 1250/11 = 0. Calculate m.
-1, 5/22
Factor -4*b**2 + 44*b - 96.
-4*(b - 8)*(b - 3)
Find y such that 3*y**3/4 + 15*y**2/2 = 0.
-10, 0
Factor -q**4/2 - 3*q**3 + 229*q**2/2 + 117*q.
-q*(q - 13)*(q + 1)*(q + 18)/2
Suppose -32*l**3 - 200*l**2 + 748*l + 420 = 0. What is l?
-35/4, -1/2, 3
Let -v**3 - 3*v**2 + 4 = 0. What is v?
-2, 1
Solve -5*z**3 + 350*z**2 + 1460*z + 1480 = 0.
-2, 74
Factor -r**2/2 + 347*r - 120409/2.
-(r - 347)**2/2
Factor 4*n**2 - 144*n + 1292.
4*(n - 19)*(n - 17)
What is c in -c**2/4 + 27*c/4 - 25/2 = 0?
2, 25
Factor -4*g**2 + 5736*g - 5732.
-4*(g - 1433)*(g - 1)
Factor 4*v**2 - 9248*v + 5345344.
4*(v - 1156)**2
Factor -b**4 + 91*b**3 + 185*b**2 + 93*b.
-b*(b - 93)*(b + 1)**2
Find c such that -6591*c**4 - 569868*c**3 - 262080*c**2 - 40272*c - 2064 = 0.
-86, -2/13
Determine q so that 4*q**2 - 12*q - 216 = 0.
-6, 9
What is t in 722*t**2 - 3040*t + 3200 = 0?
40/19
Solve -3*x**3 + 2202*x**2 = 0 for x.
0, 734
Factor 2*y**3 - 1776*y**2 - 7128*y - 7136.
2*(y - 892)*(y + 2)**2
Let -5*y**4 + 40*y**3 - 115*y**2 + 140*y - 60 = 0. Calculate y.
1, 2, 3
Solve -3*y**5 + 54*y**4 + 972*y**3 + 3240*y**2 = 0.
-6, 0, 30
What is g in -g**2 - 324*g - 26244 = 0?
-162
What is f in -f**3/4 + 171*f**2/4 - 9747*f/4 + 185193/4 = 0?
57
Solve -11*g**2/9 - 14*g/9 + 16/9 = 0.
-2, 8/11
Factor 3364*u**3/7 + 2900*u**2 + 697*u/7 + 6/7.
(u + 6)*(58*u + 1)**2/7
Suppose -s**2 - 39*s - 324 = 0. Calculate s.
-27, -12
Factor 4*h**2 - 12068*h + 12064.
4*(h - 3016)*(h - 1)
Find r such that -r**5/5 + 38*r**4/5 + r**3 - 38*r**2 - 4*r/5 + 152/5 = 0.
-2, -1, 1, 2, 38
Determine d so that d**5 + 4*d**4 - 2*d**3 - 12*d**2 + 9*d = 0.
-3, 0, 1
Find i such that -i**5 - 10*i**4 - 18*i**3 + 40*i**2 + 19*i - 30 = 0.
-6, -5, -1, 1
Factor -4*s**2 + 1136*s + 1140.
-4*(s - 285)*(s + 1)
Solve -m**3/4 - 81*m**2/2 - 6561*m/4 = 0 for m.
-81, 0
Solve -5*p**5 - 715*p**4 + 2175*p**3 - 2185*p**2 + 730*p = 0.
-146, 0, 1
Factor 7*k**3/6 - 58*k**2/3 + 32*k/3.
k*(k - 16)*(7*k - 4)/6
Factor -2*r**2/5 + 12*r + 62/5.
-2*(r - 31)*(r + 1)/5
Find r such that r**5/7 - 12*r**4/7 + 8*r**3/7 + 38*r**2/7 - 57*r/7 + 22/7 = 0.
-2, 1, 11
What is r in r**5/3 - 85*r**4/3 + 557*r**3/3 - 863*r**2/3 + 130*r = 0?
0, 1, 5, 78
Solve 15*s**4 - 25*s**3 - 25*s**2 + 25*s + 10 = 0 for s.
-1, -1/3, 1, 2
Determine h, given that h**4/2 - 70*h**3 + 2379*h**2 + 4970*h + 5041/2 = 0.
-1, 71
Determine w so that -3*w**3 - 35562*w**2 - 105387987*w = 0.
-5927, 0
Suppose -2*z**4/9 - 4*z**3/3 + 26*z**2/3 - 32*z/9 - 40/3 = 0. What is z?
-10, -1, 2, 3
Factor -5*x**3 - 335*x**2 + 5*x + 335.
-5*(x - 1)*(x + 1)*(x + 67)
Suppose -5*w**4 + 225*w**3 + 490*w**2 - 900*w - 1880 = 0. Calculate w.
-2, 2, 47
Factor -2*n**2 - 368*n + 1504.
-2*(n - 4)*(n + 188)
Factor -3*p**3 + 21*p - 18.
-3*(p - 2)*(p - 1)*(p + 3)
Let -8*j**3/9 + 70*j**2/9 + 98*j/9 + 20/9 = 0. What is j?
-1, -1/4, 10
Factor -3*r**2/2 + 18*r - 81/2.
-3*(r - 9)*(r - 3)/2
Factor -2*b**5/9 + 22*b**4/9 - 14*b**3/9 - 98*b**2/3.
-2*b**2*(b - 7)**2*(b + 3)/9
Factor w**2/6 + 13*w/3 + 23/2.
(w + 3)*(w + 23)/6
Factor 3*g**2 + 12*g - 15.
3*(g - 1)*(g + 5)
Suppose g**4/5 - 9*g**3 + 464*g**2/5 - 84*g = 0. Calculate g.
0, 1, 14, 30
Find t such that 5*t**3/4 - 233*t**2/4 + 69*t/2 = 0.
0, 3/5, 46
Suppose 2106*y**2 + 72*y + 8/13 = 0. Calculate y.
-2/117
Factor 2*o**2/5 + 38*o/5 + 96/5.
2*(o + 3)*(o + 16)/5
Find l such that 2*l**5 + 8*l**4 - 106*l**3 + 152*l**2 + 104*l - 160 = 0.
-10, -1, 1, 2, 4
Solve 39*v**4 - 119*v**3 + 84*v**2 - 4*v = 0 for v.
0, 2/39, 1, 2
Factor -5*x**2 - 950*x.
-5*x*(x + 190)
Solve 25*d**2 + 20*d = 0 for d.
-4/5, 0
Let 20*o**5 + 15*o**4 - 65*o**3 - 85*o**2 - 15*o + 10 = 0. What is o?
-1, 1/4, 2
What is k in 3*k**3 - 7512*k**2/7 + 670713*k/7 + 192246/7 = 0?
-2/7, 179
Determine t so that 12*t**4 - 128*t**3 + 404*t**2 - 432*t + 144 = 0.
2/3, 1, 3, 6
Let 9*q**5/4 + 87*q**4/2 + 291*q**3/2 - 612*q**2 + 2409*q/4 - 363/