etermine z, given that 4*z**3 + 88*z**2 + 164*z + 80 = 0.
-20, -1
Find t such that -t**4/4 - 7*t**3/4 + 3*t**2/4 + 23*t/4 + 7/2 = 0.
-7, -1, 2
Solve -4*b**3 + 8*b**2 + 44*b - 48 = 0 for b.
-3, 1, 4
Solve 2*y**4/3 - 10*y**3/3 - 36*y**2 - 248*y/3 - 176/3 = 0.
-2, 11
Determine j, given that -3*j**5 - 59*j**4 - 143*j**3 - 121*j**2 - 34*j = 0.
-17, -1, -2/3, 0
Suppose -c**2/4 + 153*c - 23409 = 0. What is c?
306
Suppose 14*m**2/9 - 340*m/9 + 32/3 = 0. What is m?
2/7, 24
Factor 2*w**2 + 78*w + 148.
2*(w + 2)*(w + 37)
Suppose -10*k**5/19 - 104*k**4/19 - 250*k**3/19 - 84*k**2/19 = 0. Calculate k.
-7, -3, -2/5, 0
What is b in 64*b**5/3 - 160*b**4/3 - 148*b**3 + 248*b**2/3 - 32*b/3 = 0?
-2, 0, 1/4, 4
Find w such that 4*w**5 + 32*w**4 + 20*w**3 - 200*w**2 = 0.
-5, 0, 2
Suppose 9*b**4 - 47*b**3 + 82*b**2 - 52*b + 8 = 0. What is b?
2/9, 1, 2
What is c in -c**2/9 + 7*c - 122/9 = 0?
2, 61
Factor 3*x**3 + 6777*x**2 + 3837456*x + 11451456.
3*(x + 3)*(x + 1128)**2
Solve 7*m**5 + 327*m**4 + 3126*m**3 - 8732*m**2 + 2232*m = 0 for m.
-31, -18, 0, 2/7, 2
Let -2*x**2 + 4832*x = 0. Calculate x.
0, 2416
Suppose 3*o**3/8 - 543*o**2/8 + 1575*o/4 = 0. Calculate o.
0, 6, 175
Factor 102*w**2/5 + 8*w.
2*w*(51*w + 20)/5
Factor -6*k**2 - 34*k/5 - 4/5.
-2*(k + 1)*(15*k + 2)/5
Find b, given that -4*b**5 + 80*b**4 - 336*b**3 + 568*b**2 - 428*b + 120 = 0.
1, 2, 15
Suppose -5*v**4 - 1870*v**3 + 9475*v**2 = 0. What is v?
-379, 0, 5
Find a, given that -a**5 - a**4 + 5*a**3 + 5*a**2 - 4*a - 4 = 0.
-2, -1, 1, 2
Let x**3 - 63*x**2 + 351*x - 513 = 0. Calculate x.
3, 57
Factor 5*y**4 + 20*y**3 - 80*y**2 - 320*y.
5*y*(y - 4)*(y + 4)**2
Suppose -9*t**5 + 32*t**4 + 196*t**3/3 - 286*t**2 + 141*t - 18 = 0. What is t?
-3, 2/9, 1/3, 3
What is y in -y**5 + 4*y**4 + 3*y**3 - 18*y**2 = 0?
-2, 0, 3
What is m in 4*m**3/3 - 80*m**2/3 + 356*m/3 - 280/3 = 0?
1, 5, 14
Factor -b**2/3 + 46*b + 139/3.
-(b - 139)*(b + 1)/3
What is g in 27*g**4 + 732*g**3 + 5346*g**2 + 5148*g + 507 = 0?
-13, -1, -1/9
What is z in 6*z**3/11 - 102*z**2/11 + 564*z/11 - 1008/11 = 0?
4, 6, 7
Factor -4*q**2/5 - 1752*q/5 - 1044.
-4*(q + 3)*(q + 435)/5
What is h in 2*h**2/11 + 160*h/11 + 3200/11 = 0?
-40
Find p, given that 3*p**2/8 - 1029*p/8 - 1035/4 = 0.
-2, 345
Factor -2*t**2/5 + 208*t/5 + 42.
-2*(t - 105)*(t + 1)/5
Suppose -35*j**3 - 1180*j**2 + 17665*j - 4950 = 0. What is j?
-45, 2/7, 11
Determine k, given that -45*k**2 + 170*k + 40 = 0.
-2/9, 4
Factor -4*o**4 + 120*o**3 - 628*o**2 - 4080*o - 4624.
-4*(o - 17)**2*(o + 2)**2
Factor -k**2/2 + 450*k.
-k*(k - 900)/2
Solve 2*p**3/17 - 10*p**2/17 - 16*p/17 + 24/17 = 0.
-2, 1, 6
Determine w, given that 76*w**4 - 302*w**3 + 372*w**2 - 142*w - 4 = 0.
-1/38, 1, 2
Factor 3*z**4/5 + 3*z**3 - 66*z**2/5 - 348*z/5 - 72.
3*(z - 5)*(z + 2)**2*(z + 6)/5
Factor 25*h**3 + 402*h**2 + 1632*h + 128.
(h + 8)**2*(25*h + 2)
Determine l, given that -5*l**2 - 55*l - 150 = 0.
-6, -5
Suppose -2*b**5/5 - 6*b**4/5 + 2*b**3/5 + 14*b**2/5 - 8/5 = 0. Calculate b.
-2, -1, 1
Factor 2*p**3/5 + 1158*p**2/5 + 223494*p/5 + 14378114/5.
2*(p + 193)**3/5
Suppose 3*g**4 + 42*g**3 - 408*g**2 + 678*g - 315 = 0. Calculate g.
-21, 1, 5
Determine j so that -6*j**5/5 - 2*j**4/5 + 2*j**3 + 2*j**2/5 - 4*j/5 = 0.
-1, 0, 2/3, 1
What is b in 52*b**4 + 172*b**3 + 152*b**2 + 32*b = 0?
-2, -1, -4/13, 0
Factor 15*t**5 + 6*t**4 - 90*t**3 - 156*t**2 - 93*t - 18.
3*(t - 3)*(t + 1)**3*(5*t + 2)
Let p**3/4 + 3*p**2/4 - 7*p = 0. Calculate p.
-7, 0, 4
Let x**3/6 - 3053*x**2/6 - 6109*x/6 - 3055/6 = 0. What is x?
-1, 3055
Suppose -10*b**3 - 44*b**2 - 56*b - 16 = 0. Calculate b.
-2, -2/5
Solve w**3 + 9*w**2 + 15*w + 7 = 0.
-7, -1
Find x, given that 18*x**5/7 - 292*x**4/7 + 1396*x**3/7 - 2168*x**2/7 + 1226*x/7 - 180/7 = 0.
2/9, 1, 5, 9
What is q in q**2/3 - 286*q + 61347 = 0?
429
Factor -2*n**3/21 + 6*n**2.
-2*n**2*(n - 63)/21
Find s such that -s**4/3 + 4*s**3 - 46*s**2/3 + 20*s - 25/3 = 0.
1, 5
Find u, given that -5*u**4 + 40*u**3 - 30*u**2 - 40*u + 35 = 0.
-1, 1, 7
Factor -121*n**2 + 66*n - 9.
-(11*n - 3)**2
Find t, given that 4*t**3 - 44*t**2 + 60*t + 108 = 0.
-1, 3, 9
Factor -4*j**2 + 344*j + 1068.
-4*(j - 89)*(j + 3)
Factor 4*v**3 - 6276*v**2 + 3282348*v - 572222668.
4*(v - 523)**3
Factor x**4 - 28*x**3 - 91*x**2 - 62*x.
x*(x - 31)*(x + 1)*(x + 2)
Determine g so that 105*g**5 - 108*g**4 - 600*g**3 + 384*g**2 + 720*g + 192 = 0.
-2, -4/7, -2/5, 2
Suppose 5*k**2 + 305*k - 6630 = 0. Calculate k.
-78, 17
What is u in 4*u**3 + 120*u**2 - 268*u - 384 = 0?
-32, -1, 3
Factor 5*w**3 - 655*w**2 + 21120*w + 21780.
5*(w - 66)**2*(w + 1)
Find r, given that -r**4/4 - 19*r**3/4 - 77*r**2/4 + 19*r/4 + 39/2 = 0.
-13, -6, -1, 1
Factor 2*u**2/9 - 446*u/3 - 1340/9.
2*(u - 670)*(u + 1)/9
Suppose 3*f**5/8 - 561*f**4/8 + 2757*f**3/8 - 4935*f**2/8 + 957*f/2 - 273/2 = 0. Calculate f.
1, 2, 182
Suppose -t**3/8 + 3*t**2/8 + t/2 - 3/2 = 0. Calculate t.
-2, 2, 3
Factor 2*j**3/3 - 8*j**2 - 24*j + 288.
2*(j - 12)*(j - 6)*(j + 6)/3
Factor -5*v**4 + 175*v**3 - 1895*v**2 + 6225*v - 4500.
-5*(v - 15)**2*(v - 4)*(v - 1)
Find i, given that 3*i**3/8 - 3*i**2/2 - 231*i/8 = 0.
-7, 0, 11
Factor -y**2/4 + 181*y - 32761.
-(y - 362)**2/4
Solve -20*p**3 + 61*p**2 - 62*p + 21 = 0.
1, 21/20
Factor 5*p**2 - 565*p - 1150.
5*(p - 115)*(p + 2)
Determine j so that -j**3/2 - 4*j**2 + 19*j/2 - 5 = 0.
-10, 1
Factor -8*i**3 + 74*i**2 + 158*i - 44.
-2*(i - 11)*(i + 2)*(4*i - 1)
Factor -d**3/4 + 434*d**2 - 188356*d.
-d*(d - 868)**2/4
Let -5*j**4/2 - 60*j**3 - 55*j**2 + 60*j + 115/2 = 0. Calculate j.
-23, -1, 1
Find o such that -6*o**5/7 - 28*o**4 - 110*o**3/7 + 600*o**2/7 + 776*o/7 + 256/7 = 0.
-32, -1, -2/3, 2
Factor 8*u**3/5 + 22*u**2/5 - 6*u/5.
2*u*(u + 3)*(4*u - 1)/5
Factor -i**5 - 13*i**4 + 9*i**3 + 405*i**2.
-i**2*(i - 5)*(i + 9)**2
Factor -5*z**2 + 780*z - 775.
-5*(z - 155)*(z - 1)
What is d in 5*d**2 - 1035*d + 7960 = 0?
8, 199
Factor -10*x**4 + 1015*x**3 - 34170*x**2 + 375700*x + 196520.
-5*(x - 34)**3*(2*x + 1)
Factor 5*a**3 - 55*a**2 + 75*a + 135.
5*(a - 9)*(a - 3)*(a + 1)
Let -4*g**5 + 44*g**4 + 8*g**3 - 88*g**2 - 4*g + 44 = 0. What is g?
-1, 1, 11
Find l such that 3*l**2/7 + 537*l/7 - 1086/7 = 0.
-181, 2
Factor 26*m**3 + 18*m**2 - 8*m.
2*m*(m + 1)*(13*m - 4)
Let -2*i**2/7 - 32*i/7 - 30/7 = 0. Calculate i.
-15, -1
Factor -2*s**5 + 2*s**4 + 6*s**3 - 10*s**2 + 4*s.
-2*s*(s - 1)**3*(s + 2)
Factor -2*p**2/9 - 46*p/3 + 48.
-2*(p - 3)*(p + 72)/9
Let 2*z**4/5 - 78*z**3/5 + 216*z**2/5 = 0. Calculate z.
0, 3, 36
Factor 4*k**2 - 452*k - 1392.
4*(k - 116)*(k + 3)
Factor -2*m**2 - 356*m - 704.
-2*(m + 2)*(m + 176)
Factor m**5/3 - 6*m**4 + 4*m**3 + 584*m**2/3 + 512*m + 384.
(m - 12)**2*(m + 2)**3/3
Factor -3*r**2 - 12*r + 420.
-3*(r - 10)*(r + 14)
Determine p so that -4*p**3 + 12*p**2 + 4*p - 12 = 0.
-1, 1, 3
Let 19*k**2 + 222*k - 72 = 0. What is k?
-12, 6/19
Factor -3*h**4 - 102*h**3 - 1095*h**2 - 4452*h - 5292.
-3*(h + 2)*(h + 7)**2*(h + 18)
Let 243*z**5/8 + 3267*z**4/8 + 1635*z**3 + 1761*z**2 + 558*z + 54 = 0. Calculate z.
-6, -1, -2/9
Factor -5*h**4 + 80*h**3 - 400*h**2 + 640*h.
-5*h*(h - 8)*(h - 4)**2
Solve s**2/9 - 65*s/9 + 64/9 = 0 for s.
1, 64
Determine g so that -2*g**4 + 8*g**3 + 22*g**2 + 12*g = 0.
-1, 0, 6
Determine f, given that 72*f**2/17 + 1704*f/17 + 10082/17 = 0.
-71/6
Factor s**3 - 76*s**2 + 1444*s.
s*(s - 38)**2
Solve -k**5 + 8*k**4 - 16*k**3 - 16*k**2 + 80*k - 64 = 0 for k.
-2, 2, 4
Factor 2*k**3 - 2094*k**2 + 547056*k + 549152.
2*(k - 524)**2*(k + 1)
Let -4*t**5 - 52*t**4 - 92*t**3 - 44*t**2 = 0. What is t?
-11, -1, 0
Find j, given that -j**3/2 - 19*j**2/2 - 99*j/2 - 81/2 = 0.
-9, -1
Find c such that c**4 - 22*c**3 + 111*c**2 + 22*c - 112 = 0.
-1, 1, 8, 14
Find q, given that 9*q**4 - 75*q**3 + 196*q**2 - 172*q + 48 = 0.
2/3, 3, 4
Solve -5*u**5 + 30*u**4 + 60*u**3 - 190*u**2 + 105*u = 0.
-3, 0, 1, 7
Factor -y**3/4 + 9*y**2/4 + 13*y.
-y*(y - 13)*(y + 4)/4
Solve 12*n**4 + 9*n**3 - 15*n**2 - 9*n + 3 = 0.
-1, 1/4, 1
Determine m so that -m**4 - 2*m**3 + 2*m + 1 = 0.
-1, 1
Factor -2*a**2/7 + 524*a/7 - 34322/7.
-2*(a - 131)**2/7
Factor -m**4/6 + 37*m**3/3 - 228*m**2 - 37*m/3 + 1369/6.
-(m - 37)**2*(m - 1)*(m + 1)/6
Find s such that 21*s**4 + 216*s**3 - 24*s**2 - 864*s - 240 = 0.
-10, -2, -2/7, 2
Let 3*b**2/4 - 417*b/2 + 57963/4 = 0. Calculate b.
139
Factor 3*d**3/4 - 12*d**2 + 75*d/4 