ctor p**2/5 + 1682*p/5 - 3368/5.
(p - 2)*(p + 1684)/5
Find b such that -b**4 - 4*b**3 + 17*b**2 + 60*b = 0.
-5, -3, 0, 4
Find v, given that v**5/4 + 3*v**4/4 - v**3 - 3*v**2 = 0.
-3, -2, 0, 2
Factor 5*v**2 + 15*v.
5*v*(v + 3)
Suppose k**5/5 + k**4/5 - 17*k**3/5 - 21*k**2/5 + 36*k/5 = 0. Calculate k.
-3, 0, 1, 4
Suppose -3*t**4 - 45*t**3 + 48*t**2 = 0. What is t?
-16, 0, 1
Factor 5*j**2 + 200*j - 205.
5*(j - 1)*(j + 41)
Factor -4*g**3 + 24*g**2 + 4*g - 24.
-4*(g - 6)*(g - 1)*(g + 1)
Factor -n**2/4 + 65*n/4.
-n*(n - 65)/4
Factor -f**5/3 + 25*f**4/3 - 199*f**3/3 + 237*f**2 - 396*f + 252.
-(f - 14)*(f - 3)**3*(f - 2)/3
Determine i so that 3*i**2 + 1494*i = 0.
-498, 0
Factor t**5/3 + 4*t**4 + 50*t**3/3 + 28*t**2 + 15*t.
t*(t + 1)*(t + 3)**2*(t + 5)/3
Suppose -2*h**2 - 3128*h - 1223048 = 0. What is h?
-782
Determine b so that 22*b**4/5 - 10*b**3 - 318*b**2/5 + 882*b/5 - 216/5 = 0.
-4, 3/11, 3
Suppose 2*r**2/3 + 82*r/3 + 728/3 = 0. Calculate r.
-28, -13
Factor 27*y**5 - 171*y**4 + 336*y**3 - 192*y**2.
3*y**2*(y - 1)*(3*y - 8)**2
Factor 7*l**3/5 + 198*l**2/5 + 56*l/5.
l*(l + 28)*(7*l + 2)/5
Suppose -5*i**3 - 225*i**2 + 960*i - 980 = 0. Calculate i.
-49, 2
Factor 4*q**4/3 + 4*q**3/3.
4*q**3*(q + 1)/3
What is r in r**4 - 4128*r**3/5 + 171063*r**2 - 1360424*r/5 + 509232/5 = 0?
3/5, 1, 412
Factor x**5/4 - 7*x**4/4 + 9*x**3/2 - 5*x**2 + 2*x.
x*(x - 2)**3*(x - 1)/4
Let -u**4/4 - 5*u**3 - 11*u**2/2 + 195*u - 1521/4 = 0. What is u?
-13, 3
Factor -m**3/3 + 59*m**2/3 + 257*m/3 - 105.
-(m - 63)*(m - 1)*(m + 5)/3
Factor 21*v**3 - 351*v**2 - 129*v + 459.
3*(v - 17)*(v - 1)*(7*v + 9)
Factor 5*m**4 - 230*m**3 + 1065*m**2 - 1660*m + 820.
5*(m - 41)*(m - 2)**2*(m - 1)
Find g, given that g**4/6 - 259*g**3/6 + 257*g**2/3 = 0.
0, 2, 257
Factor -4*k**2 - 648*k + 3340.
-4*(k - 5)*(k + 167)
Suppose -w**3 + 12*w**2 + 28*w = 0. Calculate w.
-2, 0, 14
Let 2*i**2/9 - 8*i - 26 = 0. Calculate i.
-3, 39
Factor 2*r**5 - 10*r**4 + 2*r**3 + 34*r**2 - 44*r + 16.
2*(r - 4)*(r - 1)**3*(r + 2)
Solve w**5/9 - 20*w**4/9 - 143*w**3/9 - 326*w**2/9 - 308*w/9 - 104/9 = 0.
-2, -1, 26
Factor 2*g**2/13 - 70*g/13 - 688/13.
2*(g - 43)*(g + 8)/13
Suppose -4*s**2 - 8*s + 1152 = 0. Calculate s.
-18, 16
Factor 3*j**5 - 9*j**4 + 3*j**3 + 9*j**2 - 6*j.
3*j*(j - 2)*(j - 1)**2*(j + 1)
Find p, given that -2*p**3/9 - 16*p**2/9 - 10*p/3 = 0.
-5, -3, 0
Find o, given that 2*o**3/7 - 4*o**2/7 - 2*o/7 + 4/7 = 0.
-1, 1, 2
Factor 2*r**3/9 + 4*r**2/3.
2*r**2*(r + 6)/9
Suppose -2*v**2/19 + 162*v/19 + 164/19 = 0. Calculate v.
-1, 82
Factor 4*h**4/5 - 8*h**3/5 - 44*h**2/5 + 48*h/5.
4*h*(h - 4)*(h - 1)*(h + 3)/5
Factor h**4/3 + 110*h**3/3 + 803*h**2 - 11640*h + 10800.
(h - 9)*(h - 1)*(h + 60)**2/3
Suppose z**5 + 23*z**4 + 110*z**3 + 130*z**2 - 111*z - 153 = 0. Calculate z.
-17, -3, -1, 1
What is b in 10*b**3/7 - 94*b**2/7 + 190*b/7 + 150/7 = 0?
-3/5, 5
Let -2*m**2/5 - 6*m/5 + 16 = 0. What is m?
-8, 5
Determine o, given that -45*o**4 - 1122*o**3 + 1251*o**2 + 72*o - 156 = 0.
-26, -1/3, 2/5, 1
Let -l**3/10 - 753*l**2/10 = 0. What is l?
-753, 0
Find n, given that -4*n**4/3 - 616*n**3/3 + 1244*n**2/3 - 208*n = 0.
-156, 0, 1
Factor -2*j**4 - 70*j**3 - 456*j**2 - 648*j.
-2*j*(j + 2)*(j + 6)*(j + 27)
Factor -y**4/2 - 16*y**3 - 45*y**2 - 44*y - 29/2.
-(y + 1)**3*(y + 29)/2
Determine p, given that 3*p**3/2 - 9*p**2 + 27*p/2 - 6 = 0.
1, 4
Solve -3*j**4/7 + 45*j**3 + 3*j**2/7 - 45*j = 0 for j.
-1, 0, 1, 105
Determine j, given that -14*j**4 - 170*j**3/3 + 64*j**2 - 40*j/3 = 0.
-5, 0, 2/7, 2/3
Factor -3*u**2/4 + 18*u - 33.
-3*(u - 22)*(u - 2)/4
What is j in -52*j**4 + 336*j**3 - 720*j**2 + 512*j = 0?
0, 2, 32/13
What is z in -z**3/2 - 4*z**2 - 10*z - 8 = 0?
-4, -2
Suppose -5*j**3 - 5*j**2 + 60*j = 0. What is j?
-4, 0, 3
Determine d, given that d**3 + 19*d**2 - 525*d - 10143 = 0.
-21, 23
Factor -2*v**3 - 2618*v**2 + 5242*v - 2622.
-2*(v - 1)**2*(v + 1311)
Factor 4*f**2/9 - 40*f/3 - 124/9.
4*(f - 31)*(f + 1)/9
Find x, given that 2*x**4/3 + 16*x**3/3 - 2*x**2/3 - 16*x/3 = 0.
-8, -1, 0, 1
Factor 3*v**2/5 - 30*v + 147/5.
3*(v - 49)*(v - 1)/5
Solve -8*x**4/9 - 22*x**3/9 + 86*x**2/9 - 20*x/9 = 0 for x.
-5, 0, 1/4, 2
Find n such that -8*n**4 - 28*n**3 + 20*n**2 + 112*n + 48 = 0.
-3, -2, -1/2, 2
Factor -k**3 - 2*k**2 + 15*k.
-k*(k - 3)*(k + 5)
Factor -5*z**4 - 135*z**3 + 435*z**2 - 445*z + 150.
-5*(z - 1)**3*(z + 30)
Factor -3*y**4 + 3*y**3 + 3*y**2 - 3*y.
-3*y*(y - 1)**2*(y + 1)
What is g in 5*g**3 - 5*g**2 - 45*g + 45 = 0?
-3, 1, 3
Suppose 21*b**5/2 + 45*b**4 + 87*b**3/2 - 33*b**2 - 54*b - 12 = 0. Calculate b.
-2, -1, -2/7, 1
Factor -5*d**3/2 - 25*d**2/2 + 5*d/2 + 25/2.
-5*(d - 1)*(d + 1)*(d + 5)/2
Find w such that 2*w**3/3 + 16*w**2/3 - 88*w/3 + 32 = 0.
-12, 2
Find d such that 2*d**2/5 - 10396*d/5 + 13509602/5 = 0.
2599
Determine h, given that -h**2 + 8*h + 33 = 0.
-3, 11
Solve 2*n**5/5 - 2*n**4/5 - 6*n**3/5 + 2*n**2/5 + 4*n/5 = 0 for n.
-1, 0, 1, 2
Let -4*s**4/5 - 48*s**3/5 - 116*s**2/5 - 72*s/5 = 0. What is s?
-9, -2, -1, 0
Let -5*y**2/8 - 119*y/8 + 3 = 0. Calculate y.
-24, 1/5
Factor 3*z**4 + 18*z**3 + 12*z**2 - 18*z - 15.
3*(z - 1)*(z + 1)**2*(z + 5)
Let -u**4/3 + 3*u**3 - 2*u**2/3 - 16*u = 0. Calculate u.
-2, 0, 3, 8
Factor -3*j**2/2 + 534*j - 47526.
-3*(j - 178)**2/2
Solve 12*y**4 + 32*y**3 - 120*y**2 - 288*y + 108 = 0.
-3, 1/3, 3
Determine v so that 4*v**3 - 924*v**2 + 56448*v - 351232 = 0.
7, 112
What is g in 3*g**2 - 75*g - 162 = 0?
-2, 27
Factor 4*y**4/7 - 20*y**3/7 - 128*y**2/7 - 144*y/7.
4*y*(y - 9)*(y + 2)**2/7
Let -2*i**2/3 + 3810*i - 11428/3 = 0. What is i?
1, 5714
Solve 5*r**4 + 90*r**3 - 1795*r**2 - 19800*r + 242000 = 0 for r.
-20, 11
Find t such that -3*t**2 - 72*t + 75 = 0.
-25, 1
Let -y**5 + 304*y**4 + 1537*y**3 + 2468*y**2 + 1236*y = 0. What is y?
-2, -1, 0, 309
Factor -s**2/3 - 2344*s/3 - 1373584/3.
-(s + 1172)**2/3
Factor -3*z**2 + 16212*z - 21902412.
-3*(z - 2702)**2
Determine q so that -q**5/3 + 23*q**4/3 - 143*q**3/3 + 121*q**2/3 = 0.
0, 1, 11
Solve 6*v**3 - 31*v**2 + 29*v - 4 = 0 for v.
1/6, 1, 4
Factor 2*o**2/5 - 3392*o/5 + 1438208/5.
2*(o - 848)**2/5
Factor l**4 - 76*l**3 + 1366*l**2 + 2964*l + 1521.
(l - 39)**2*(l + 1)**2
Determine o, given that o**5/3 + 2*o**4/3 - 23*o**3/3 - 28*o**2/3 + 112*o/3 - 64/3 = 0.
-4, 1, 4
Let -s**2 + 70*s - 1225 = 0. What is s?
35
Suppose -2*k**3 + 16*k**2 - 14*k = 0. Calculate k.
0, 1, 7
Determine b so that b**5 + 65*b**4/3 + 254*b**3/3 + 274*b**2/3 + 31*b/3 - 17 = 0.
-17, -3, -1, 1/3
Solve -u**3 - 64*u**2 + 67*u + 130 = 0 for u.
-65, -1, 2
Factor -5*g**2/6 + 50*g/3 - 85/2.
-5*(g - 17)*(g - 3)/6
Suppose h**4/5 + 6*h**3 - 180*h**2 + 1000*h = 0. What is h?
-50, 0, 10
Factor 16*s**3/3 - 1436*s**2/3 - 120*s.
4*s*(s - 90)*(4*s + 1)/3
Factor 3*z**2/7 + 1146*z/7 + 109443/7.
3*(z + 191)**2/7
Factor 2*w**2/9 - 4*w/9 + 2/9.
2*(w - 1)**2/9
Factor -3*h**2 + 540*h.
-3*h*(h - 180)
Factor s**5 - 3*s**3 - 2*s**2.
s**2*(s - 2)*(s + 1)**2
Solve 4*g**5 + 16*g**4 - 648*g**3 + 1808*g**2 - 1756*g + 576 = 0 for g.
-16, 1, 9
Let 4*m**2/7 - 312*m/7 - 316/7 = 0. Calculate m.
-1, 79
Factor -5*m**3/2 + 485*m**2/2.
-5*m**2*(m - 97)/2
Solve 3*w**5 - 66*w**4 + 123*w**3 - 60*w**2 = 0.
0, 1, 20
Factor 4*p**2 + 5132*p - 5136.
4*(p - 1)*(p + 1284)
Factor 2*v**2/5 - 632*v/5 - 634/5.
2*(v - 317)*(v + 1)/5
Let -3*z**4/2 - 210*z**3 - 7137*z**2 + 14910*z - 15123/2 = 0. Calculate z.
-71, 1
Factor -4*n**4 - 44*n**3 + 164*n**2 + 780*n.
-4*n*(n - 5)*(n + 3)*(n + 13)
Factor 5975*c**3 - 10*c**2.
5*c**2*(1195*c - 2)
Factor -2*o**4/7 - 126*o**3 - 96798*o**2/7 + 97682*o/7.
-2*o*(o - 1)*(o + 221)**2/7
Find a such that 52*a**3 - 332*a**2 + 508*a - 228 = 0.
1, 57/13
Factor -4*w**5/3 + 532*w**4/3 - 6860*w**3/3 + 23324*w**2/3.
-4*w**2*(w - 119)*(w - 7)**2/3
Solve -5*q**2/2 + 30*q + 65/2 = 0 for q.
-1, 13
Suppose 25*g**3 - 185*g**2 + 220*g - 60 = 0. What is g?
2/5, 1, 6
Let -2*v**4 - 2*v**3 + 20*v**2 - 16*v = 0. Calculate v.
-4, 0, 1, 2
Solve -2*a**2 - 1626*a = 0.
-813, 0
Factor 5*m**4/2 + 35*m**3 + 215*m**2/2 + 75*m.
5*m*(m + 1)*(m + 3)*(m + 10)/2
Determine d, given that -d**5/7 - 23*d**4/7 + 131*d**3/7 - 35*d**2 + 194*d/7 - 8 = 0.
-28, 1, 2
Factor 3*w**3/7 + 138*w**2/7 + 204*w - 3432/7.
3*(w - 2)*(w + 22)*(w + 26)/7
Suppose 5*m**3/4 - 5*m**2/2 - 255*m/4 - 135 = 0. What is m?
-4, -3, 9
Factor 2*i**2 - 46*i + 44.
2*(i - 22)*(i -