*o**2/11 + 128*o - 15360/11 = 0. What is o?
-30, 16
Determine g so that g**5/2 - 2*g**4 - 23*g**3/2 + 19*g**2 + 110*g + 100 = 0.
-2, 5
Factor -2*v**2/7 + 12*v - 682/7.
-2*(v - 31)*(v - 11)/7
Solve -o**5 + 331*o**4 - 26890*o**3 - 82666*o**2 - 83333*o - 27889 = 0 for o.
-1, 167
Suppose -p**2/2 - 14*p + 30 = 0. Calculate p.
-30, 2
Factor -p**2/2 - 7589*p - 57592921/2.
-(p + 7589)**2/2
What is n in 8*n**3 + 59*n**2 - 10*n - 525 = 0?
-5, 21/8
Factor 4*i**2 - 40*i + 96.
4*(i - 6)*(i - 4)
What is v in v**3/4 - 93*v**2/4 = 0?
0, 93
Suppose -5*s**4 - 60*s**3 - 270*s**2 - 540*s - 405 = 0. What is s?
-3
Solve 2*q**4/7 - 580*q**2/7 + 578/7 = 0 for q.
-17, -1, 1, 17
Solve 3*g**5 - 30*g**4 + 75*g**3 + 60*g**2 - 240*g - 192 = 0 for g.
-1, 4
What is r in -3*r**3 + 39*r**2 + 42*r = 0?
-1, 0, 14
Factor 4*r**2 - 236*r - 240.
4*(r - 60)*(r + 1)
Let m**4/2 - 587*m**3/2 + 585*m**2/2 + 587*m/2 - 293 = 0. What is m?
-1, 1, 586
Suppose 3*g**4 - 141*g**3 + 1965*g**2 - 7119*g + 5292 = 0. What is g?
1, 4, 21
Factor -k**3 + 24*k**2 - 23*k.
-k*(k - 23)*(k - 1)
Factor d**2/5 - 178*d + 39605.
(d - 445)**2/5
Determine p so that 3*p**4/8 - 3*p**3/4 - 219*p**2/8 + 327*p/4 - 54 = 0.
-9, 1, 2, 8
Factor v**2 + 120*v - 121.
(v - 1)*(v + 121)
Let -2*x**4 - 22*x**3 - 78*x**2 - 90*x = 0. Calculate x.
-5, -3, 0
Suppose -u**2/8 + 91*u/8 = 0. What is u?
0, 91
Factor 2*o**5/3 - 14*o**4/3 + 10*o**3 - 26*o**2/3 + 8*o/3.
2*o*(o - 4)*(o - 1)**3/3
What is j in 53*j**4 - 157*j**3 - 819*j**2/4 - 121*j/2 - 2 = 0?
-1/2, -2/53, 4
Factor -24*r**5 - 285*r**4 - 1260*r**3 - 2430*r**2 - 1620*r + 243.
-3*(r + 3)**4*(8*r - 1)
Solve -b**4/6 - 301*b**3/6 + 151*b**2/3 = 0.
-302, 0, 1
Factor 4*i**3 + 24*i**2 - 316*i - 1056.
4*(i - 8)*(i + 3)*(i + 11)
Factor u**3/6 - 17*u**2/6 + 31*u/6 - 5/2.
(u - 15)*(u - 1)**2/6
Factor -338*q**3 + 7670*q**2 + 2384*q + 184.
-2*(q - 23)*(13*q + 2)**2
Solve -5*f**4 + 25*f**3 - 30*f**2 = 0.
0, 2, 3
Find k, given that 2*k**3/7 - 234*k**2/7 + 6960*k/7 - 6728/7 = 0.
1, 58
Let 2*z**4/9 + 8*z**3/9 - 8*z**2/9 - 32*z/9 = 0. What is z?
-4, -2, 0, 2
Solve -10*y**5 + 1164*y**4 - 35234*y**3 + 78888*y**2 - 25992*y = 0 for y.
0, 2/5, 2, 57
Solve -5*u**5/3 + 175*u**4/3 + 250*u**3/3 - 28750*u**2/3 - 203125*u/3 - 390625/3 = 0.
-5, 25
Factor j**5/4 - 307*j**4 + 94249*j**3.
j**3*(j - 614)**2/4
Factor -2*j**3 - 70*j**2 + 76*j + 144.
-2*(j - 2)*(j + 1)*(j + 36)
Factor -4*q**3 + 28*q**2 + 224*q + 192.
-4*(q - 12)*(q + 1)*(q + 4)
Factor 5*x**2 + 345*x.
5*x*(x + 69)
Factor -5*h**2 + 2190*h.
-5*h*(h - 438)
Suppose 4*c**2 + 48*c + 144 = 0. Calculate c.
-6
Factor -10*f**3 - 174*f**2 - 668*f - 240.
-2*(f + 5)*(f + 12)*(5*f + 2)
Let -5*h**5 - 90*h**4 - 405*h**3 - 560*h**2 - 240*h = 0. What is h?
-12, -4, -1, 0
Factor 1058*t**2 + 5152*t + 6272.
2*(23*t + 56)**2
Factor 2*z**4/3 - 4*z**3/3 - 2*z**2/3 + 4*z/3.
2*z*(z - 2)*(z - 1)*(z + 1)/3
Let 5*m**4 + 960*m**3 - 1940*m**2 = 0. What is m?
-194, 0, 2
Let 5*p**3 - 855*p**2 + 2520*p = 0. What is p?
0, 3, 168
Suppose -g**4/5 + 368*g**3 - 1129146*g**2/5 + 231473704*g/5 - 230346397/5 = 0. Calculate g.
1, 613
Factor 4*f**3 + 1420*f**2 - 1448*f - 8544.
4*(f - 3)*(f + 2)*(f + 356)
Factor 4*z**5 + 600*z**4 + 20640*z**3 - 138560*z**2 + 287040*z - 194688.
4*(z - 2)**3*(z + 78)**2
Determine x, given that x**4 - 33*x**3 - 105*x**2 - 107*x - 36 = 0.
-1, 36
Factor -4*g**3 + 164*g**2 - 1400*g - 1568.
-4*(g - 28)*(g - 14)*(g + 1)
Suppose 3*h**3 - 27*h**2/4 - 477*h/2 + 60 = 0. Calculate h.
-8, 1/4, 10
Factor -3*n**3 + 12*n**2.
-3*n**2*(n - 4)
Solve -4*l**2 - 108*l + 360 = 0 for l.
-30, 3
Factor u**2/3 + 31*u - 94/3.
(u - 1)*(u + 94)/3
Let -v**3 - 84*v**2 - 900*v - 2592 = 0. Calculate v.
-72, -6
Factor 2*w**3 - 558*w**2 - 1122*w - 562.
2*(w - 281)*(w + 1)**2
Let -2*q**4/17 + 14*q**3/17 - 24*q**2/17 - 8*q/17 + 32/17 = 0. What is q?
-1, 2, 4
Factor -2*n**2 - 40*n - 200.
-2*(n + 10)**2
Suppose -c**3/8 - 2255*c**2/4 - 5085025*c/8 = 0. What is c?
-2255, 0
Factor 4*t**3/5 - 16*t/5.
4*t*(t - 2)*(t + 2)/5
Factor -3*k**3/4 + 387*k**2/4 + 99*k - 195.
-3*(k - 130)*(k - 1)*(k + 2)/4
Factor -s**2/3 - 9*s - 54.
-(s + 9)*(s + 18)/3
Solve 2*t**2/3 + 16*t/3 - 32 = 0 for t.
-12, 4
Factor -4*a**4/7 + 1160*a**3/7.
-4*a**3*(a - 290)/7
Factor -5*o**3 - 1120*o**2 - 64900*o - 242000.
-5*(o + 4)*(o + 110)**2
Factor m**5/5 + 2*m**4 + 16*m**3/5.
m**3*(m + 2)*(m + 8)/5
Suppose -9*w**3 - 9*w**2 - 2*w = 0. Calculate w.
-2/3, -1/3, 0
Factor -3*d**5/2 - 9*d**4/2 + 27*d**3/2 - 15*d**2/2.
-3*d**2*(d - 1)**2*(d + 5)/2
Suppose -5*m**4 + 55*m**3 - 165*m**2 + 185*m - 70 = 0. Calculate m.
1, 2, 7
Solve k**3/3 - 49*k**2/3 + 156*k = 0 for k.
0, 13, 36
Factor -5*g**5 + 870*g**4 - 36960*g**3 - 77440*g**2.
-5*g**2*(g - 88)**2*(g + 2)
Factor w**2 + 298*w - 299.
(w - 1)*(w + 299)
What is m in -4*m**2 - 25112*m - 25108 = 0?
-6277, -1
Solve 2*v**4/13 - 14*v**3/13 - 66*v**2/13 + 710*v/13 - 1400/13 = 0 for v.
-7, 4, 5
Find g such that 4*g**4/3 + 5*g**3/3 - 19*g**2/3 + 7*g/3 + 1 = 0.
-3, -1/4, 1
Factor -z**3 + 414*z**2 - 42009*z - 174724.
-(z - 209)**2*(z + 4)
Suppose -h**4/2 - 20*h**3 - 273*h**2/2 - 277*h - 160 = 0. Calculate h.
-32, -5, -2, -1
Factor n**3 - 200*n**2 + 10388*n - 38416.
(n - 98)**2*(n - 4)
Factor -4*t**5/3 + 32*t**4/3 - 16*t**3.
-4*t**3*(t - 6)*(t - 2)/3
Factor 2*m**4 + 4*m**3 - 6*m**2 - 16*m - 8.
2*(m - 2)*(m + 1)**2*(m + 2)
Factor -5*b**2 + 17*b - 6.
-(b - 3)*(5*b - 2)
Determine x so that -5*x**3 - 50*x**2 - 115*x - 70 = 0.
-7, -2, -1
Find v, given that -2*v**5/3 - 238*v**4/3 - 7198*v**3/3 - 6962*v**2/3 = 0.
-59, -1, 0
Factor -2*i**3/3 - 236*i**2/3 - 1792*i/3 - 3520/3.
-2*(i + 4)**2*(i + 110)/3
Suppose 6*u**2/19 - 28*u/19 - 160/19 = 0. What is u?
-10/3, 8
Suppose -6*y**3 - 1359*y**2 - 77292*y - 38307 = 0. What is y?
-113, -1/2
Determine l, given that -l**2 - 97*l - 282 = 0.
-94, -3
Factor -u**3/2 - 19*u**2/4 - 11*u/2 + 4.
-(u + 2)*(u + 8)*(2*u - 1)/4
What is d in 2*d**5/17 - 4*d**4/17 + 2*d**3/17 = 0?
0, 1
Factor 3*r**3 - 376*r**2/3 + 212*r + 160/3.
(r - 40)*(r - 2)*(9*r + 2)/3
Factor -3*l**2/7 + 2187*l/7 + 6588/7.
-3*(l - 732)*(l + 3)/7
What is h in h**5/4 - 26*h**4 + 3673*h**3/4 - 23171*h**2/2 + 20519*h - 9826 = 0?
1, 34
Factor k**2/6 - 8/3.
(k - 4)*(k + 4)/6
Determine f so that -f**2/6 + 926*f/3 - 428738/3 = 0.
926
Find n, given that 4*n**5 - 34*n**4 - 106*n**3 - 44*n**2 = 0.
-2, -1/2, 0, 11
Factor 2*k**3/9 + 4*k**2/3 + 16*k/9.
2*k*(k + 2)*(k + 4)/9
Factor 4*x**4 - 168*x**3 + 140*x**2 + 984*x.
4*x*(x - 41)*(x - 3)*(x + 2)
Factor -9*h**4 - 151*h**3 + 367*h**2 - 245*h + 38.
-(h - 1)**2*(h + 19)*(9*h - 2)
Determine z, given that z**3/4 - 157*z**2/4 + 231*z/2 = 0.
0, 3, 154
Factor -q**2 + 5*q - 4.
-(q - 4)*(q - 1)
Factor 4*n**3 + 8676*n**2 + 4700220*n - 4708900.
4*(n - 1)*(n + 1085)**2
Find t such that 3*t**5 + 93*t**4 - 978*t**3 - 35718*t**2 + 975*t + 35625 = 0.
-25, -1, 1, 19
Factor -3*n**3 - 48*n**2 - 156*n - 144.
-3*(n + 2)**2*(n + 12)
Factor -4*u**2 - 184*u + 188.
-4*(u - 1)*(u + 47)
Solve -15*r**4 - 84*r**3 - 99*r**2 + 54*r = 0.
-3, 0, 2/5
Determine t so that -2*t**4/7 + 30*t**3/7 - 130*t**2/7 + 30*t - 108/7 = 0.
1, 2, 3, 9
Factor 2*x**2/15 - 304*x/15 - 102/5.
2*(x - 153)*(x + 1)/15
Solve v**4/5 - 2*v**3/5 - 3*v**2/5 + 8*v/5 - 4/5 = 0.
-2, 1, 2
Let 3*y**5 + 348*y**4 + 675*y**3 - 1038*y**2 - 1356*y + 1368 = 0. Calculate y.
-114, -2, 1
Factor 2*c**3/17 + 28*c**2/17 + 98*c/17 + 72/17.
2*(c + 1)*(c + 4)*(c + 9)/17
Factor 2*c**2/5 - 2*c/5.
2*c*(c - 1)/5
Suppose -2*z**2/7 - 12*z/7 = 0. What is z?
-6, 0
Suppose -g**4/2 - 24*g**3 - 575*g**2/2 + 24*g + 288 = 0. What is g?
-24, -1, 1
Determine g so that 2*g**4/9 - 8*g**3/3 - 86*g**2/9 - 20*g/3 = 0.
-2, -1, 0, 15
Factor -12*y**3 - 188*y**2 - 648*y - 352.
-4*(y + 4)*(y + 11)*(3*y + 2)
Factor -3*t**2 - 36*t + 975.
-3*(t - 13)*(t + 25)
Find i such that -5*i**4/4 + 23*i**3/4 - 5*i**2/2 - 2*i = 0.
-2/5, 0, 1, 4
Determine s so that 5*s**5/4 - 19*s**4/2 - 9*s**3 + 38*s**2 + 16*s = 0.
-2, -2/5, 0, 2, 8
What is p in -5*p**4 + 15*p**2 - 10*p = 0?
-2, 0, 1
Factor -g**3/4 - 31*g**2/4.
-g**2*(g + 31)/4
Let -84*s**4 + 375*s**3 + 31635*s**2 + 16860*s + 2244 = 0. What is s?
-17, -2/7, -1/4, 22
Find r, given that 3*r**2/2 + 7401*r/2 + 3699 = 0.
-2466, -1
Factor 5*t**5 - 15*t**4 - 15*t**3 + 55*t**2 - 30*t.
5*t*(t - 3)*(t - 1)**2*(t + 2)
Factor b**3/6 + 467*b**2/6 + 928*b/3 + 926/