**3 - 11*m**2 + 8*m + 20.
(m - 10)*(m - 2)*(m + 1)
Factor -42*b**3/11 - 96*b**2/11 - 6*b - 12/11.
-6*(b + 1)**2*(7*b + 2)/11
Factor l**3 + 336*l**2 + 999*l.
l*(l + 3)*(l + 333)
Let -2*f**3/3 - 22*f**2/3 + 8*f/3 + 88/3 = 0. What is f?
-11, -2, 2
Factor 2*y**3/11 + 1114*y**2/11 + 155680*y/11 + 154568/11.
2*(y + 1)*(y + 278)**2/11
Determine n, given that -33*n**5 - 294*n**4 - 666*n**3 - 564*n**2 - 141*n + 18 = 0.
-6, -1, 1/11
Determine h, given that -5*h**4 - 30*h**3 + 135*h**2 - 20*h - 180 = 0.
-9, -1, 2
Let -2*n**3 + 9810*n**2 - 12024606*n - 12034418 = 0. Calculate n.
-1, 2453
What is d in 5*d**5 + 40*d**4 - 170*d**3 - 40*d**2 + 165*d = 0?
-11, -1, 0, 1, 3
Let -w**5 + 12*w**4 - 45*w**3 + 50*w**2 = 0. What is w?
0, 2, 5
Factor -y**3/9 - 10*y**2/9 + 103*y/9 + 112/9.
-(y - 7)*(y + 1)*(y + 16)/9
Solve -2*y**5/15 - 4*y**4/5 + 8*y**3 + 140*y**2/3 + 334*y/5 + 144/5 = 0.
-9, -3, -1, 8
Factor -2*j**4/13 - 170*j**3/13 + 522*j**2/13 - 526*j/13 + 176/13.
-2*(j - 1)**3*(j + 88)/13
Determine i so that 10*i**3/7 + 254*i**2/7 + 340*i/7 + 96/7 = 0.
-24, -1, -2/5
Factor i**3/4 - 21*i**2/4 + 37*i/2 + 24.
(i - 16)*(i - 6)*(i + 1)/4
Find v, given that -v**4/4 + v**3 + 13*v**2 + 20*v = 0.
-4, -2, 0, 10
Let a**3 - 259*a**2 + 17152*a - 49152 = 0. Calculate a.
3, 128
Factor -2*m**2 - 5692*m - 4049858.
-2*(m + 1423)**2
Solve 5*x**3 - 215*x**2 + 415*x - 205 = 0.
1, 41
Factor -3*r**2 + 33*r + 378.
-3*(r - 18)*(r + 7)
Factor 4*b**4 - 52*b**3 + 240*b**2 - 464*b + 320.
4*(b - 5)*(b - 4)*(b - 2)**2
Factor 2*g**4 + 12*g**3 + 2*g**2 - 48*g + 32.
2*(g - 1)**2*(g + 4)**2
Suppose 70*t**5 + 435*t**4 + 640*t**3 + 60*t**2 - 80*t = 0. Calculate t.
-4, -2, -1/2, 0, 2/7
Factor 4*z**2/7 - 33952*z/7 + 72046144/7.
4*(z - 4244)**2/7
Factor 3*b**4 + 645*b**3 - 9*b**2 - 1929*b + 1290.
3*(b - 1)**2*(b + 2)*(b + 215)
Let 2*m**2/9 - 620*m/3 + 3712/9 = 0. Calculate m.
2, 928
Determine d so that -2*d**3/9 + 1660*d**2/9 + 6664*d/9 + 2224/3 = 0.
-2, 834
Solve 5*c**5 - 230*c**4 - 5*c**3 + 230*c**2 = 0 for c.
-1, 0, 1, 46
Find n, given that -169*n**4/5 - 78*n**3 - 277*n**2/5 - 12*n - 4/5 = 0.
-1, -2/13
Solve 3*t**4/8 - 9*t**2/8 - 3*t/4 = 0 for t.
-1, 0, 2
Find g, given that 3*g**3/4 - 549*g**2/4 - 138*g = 0.
-1, 0, 184
Let -12636*x**5 - 111807*x**4 - 174423*x**3 - 78522*x**2 - 13812*x - 840 = 0. Calculate x.
-7, -5/4, -2/9, -2/13
Factor -4*g**5/3 - 41*g**4/3 - 110*g**3/3 - 25*g**2/3.
-g**2*(g + 5)**2*(4*g + 1)/3
Let -4*o**4/7 + 24*o**3/7 - 20*o**2/7 - 48*o/7 = 0. What is o?
-1, 0, 3, 4
Factor 6*y**4 - 8*y**3 - 10*y**2 + 4*y.
2*y*(y - 2)*(y + 1)*(3*y - 1)
Solve k**3 - 30*k**2 + 153*k + 184 = 0.
-1, 8, 23
Factor 3*n**4 - 189*n**3 - 36*n**2 + 2220*n + 3024.
3*(n - 63)*(n - 4)*(n + 2)**2
Determine j so that -j**2 - 177*j - 176 = 0.
-176, -1
Factor 4*y**5 - 12*y**4 + 8*y**3.
4*y**3*(y - 2)*(y - 1)
Suppose -m**5/3 + 127*m**4 - 253*m**3 + 379*m**2/3 = 0. What is m?
0, 1, 379
Factor 3*v**3/7 - 228*v**2/7 + 2304*v/7.
3*v*(v - 64)*(v - 12)/7
Find q such that 35*q**5 - 50*q**4 - 20*q**3 + 50*q**2 - 15*q = 0.
-1, 0, 3/7, 1
Factor 4*b**4 + 84*b**3 - 88*b**2.
4*b**2*(b - 1)*(b + 22)
Factor h**2 + 884*h + 195364.
(h + 442)**2
Determine r so that -21*r**4/5 - 291*r**3 - 4614*r**2/5 - 3972*r/5 - 792/5 = 0.
-66, -2, -1, -2/7
Determine g, given that 5*g**2 - 40*g - 525 = 0.
-7, 15
Determine f so that -f**3/5 + 263*f**2/5 - 52*f - 524/5 = 0.
-1, 2, 262
Factor -2*j**5/9 - 128*j**4/9 - 1960*j**3/9 - 8800*j**2/9.
-2*j**2*(j + 10)**2*(j + 44)/9
Suppose -2*r**5/7 - 2*r**4/7 + 22*r**3/7 + 18*r**2/7 - 36*r/7 = 0. What is r?
-3, -2, 0, 1, 3
Factor -q**2/4 + q/2 + 2.
-(q - 4)*(q + 2)/4
Factor 8*m**3/19 - 914*m**2/19 + 12*m.
2*m*(m - 114)*(4*m - 1)/19
Let 3*i**3/4 + 189*i**2/4 - 198*i + 201 = 0. Calculate i.
-67, 2
Suppose 3*g**4 + 150*g**3 + 2799*g**2 + 23100*g + 71148 = 0. What is g?
-14, -11
Solve 2*g**5 - 10*g**4 - 2*g**3 + 10*g**2 = 0.
-1, 0, 1, 5
Factor 2*i**5 + 218*i**4 + 7512*i**3 + 65056*i**2 - 600704*i - 658464.
2*(i - 6)*(i + 1)*(i + 38)**3
Determine h so that 10*h**4 - 266*h**3 + 1572*h**2 + 2632*h + 784 = 0.
-1, -2/5, 14
Find s, given that s**4 - 22*s**3 + 16*s**2 + 102*s + 63 = 0.
-1, 3, 21
Suppose r**4/8 + r**3/2 + 3*r**2/8 = 0. What is r?
-3, -1, 0
Solve 2*j**3 - 12*j**2 - 32*j = 0.
-2, 0, 8
Suppose 4*z**3 + 220*z**2 - 928*z + 944 = 0. What is z?
-59, 2
Factor -5*m**3 + 50*m**2 - 135*m + 90.
-5*(m - 6)*(m - 3)*(m - 1)
Factor r**3 - 14*r**2 + 24*r.
r*(r - 12)*(r - 2)
Factor -3*y**2/7 - 72*y - 3024.
-3*(y + 84)**2/7
What is d in -1058*d**4/3 + 38962*d**3/3 + 15668*d**2 + 7288*d/3 + 304/3 = 0?
-1, -2/23, 38
Solve 2*a**3 - 24*a**2 + 64*a = 0.
0, 4, 8
Suppose -p**4/3 + 7*p**3/3 - 8*p**2/3 - 16*p/3 = 0. What is p?
-1, 0, 4
Find d, given that d**3 + 163*d**2 + 6880*d + 19200 = 0.
-80, -3
Factor 3*o**2 - 3*o - 18.
3*(o - 3)*(o + 2)
Determine s, given that -2*s**2/5 + 64*s - 942/5 = 0.
3, 157
What is w in -5*w**5 - 60*w**4 - 140*w**3 + 240*w**2 + 640*w = 0?
-8, -4, -2, 0, 2
Find f such that 2*f**2/11 + 8*f - 490/11 = 0.
-49, 5
Solve -3*l**3 + 9*l**2/2 + 18*l - 30 = 0 for l.
-5/2, 2
Suppose 5*m**2 - 20*m + 15 = 0. What is m?
1, 3
Determine q, given that -2*q**4 + 670*q**3/3 - 2392*q**2/3 + 1720*q/3 + 288 = 0.
-1/3, 2, 108
Solve 4*b**2 - 276*b + 1512 = 0 for b.
6, 63
Let 3*u**4 + 9*u**3 - 3*u**2 - 9*u = 0. Calculate u.
-3, -1, 0, 1
Solve -20*a**3 - 17832*a**2 + 24996*a - 7144 = 0.
-893, 2/5, 1
Factor -6*a**2 - 86*a + 60.
-2*(a + 15)*(3*a - 2)
Let 15*q**5/2 - 909*q**4/2 + 1122*q**3 + 522*q**2 = 0. What is q?
-2/5, 0, 3, 58
Factor 5*v**3 + 210*v**2 - 435*v + 220.
5*(v - 1)**2*(v + 44)
Factor -t**4 - 99*t**3 + 407*t**2 - 513*t + 206.
-(t - 2)*(t - 1)**2*(t + 103)
Factor v**2/6 + 13*v + 132.
(v + 12)*(v + 66)/6
Factor -2*n**4/5 + 256*n**3/5 - 504*n**2/5.
-2*n**2*(n - 126)*(n - 2)/5
Solve 4*n**2/7 + 244*n/7 - 1040/7 = 0.
-65, 4
Factor r**2 - 3*r - 40.
(r - 8)*(r + 5)
Suppose 5*u**5 + 40*u**4 - 25*u**3 - 200*u**2 + 20*u + 160 = 0. Calculate u.
-8, -2, -1, 1, 2
Suppose -3*c**3/4 - 15*c**2/4 + 27*c/2 + 54 = 0. What is c?
-6, -3, 4
Let f**5/2 + 17*f**4/2 - 77*f**3 + 164*f**2 - 96*f = 0. Calculate f.
-24, 0, 1, 2, 4
Factor 2*z**4/5 - 6*z**3/5 - 18*z**2/5 - 2*z.
2*z*(z - 5)*(z + 1)**2/5
Let -a**4/5 - 29*a**3/5 - 50*a**2 - 384*a/5 + 2016/5 = 0. Calculate a.
-12, -7, 2
Let -3*i**4 - 123*i**3 - 1557*i**2 - 5253*i + 6936 = 0. Calculate i.
-17, -8, 1
Factor -n**3/3 + 19*n**2/3.
-n**2*(n - 19)/3
Determine i so that 2*i**3 - 30*i**2 + 94*i - 66 = 0.
1, 3, 11
Determine u so that 380*u**2 - 378*u - 2 = 0.
-1/190, 1
Determine m, given that m**4/7 - 676*m**3/7 + 115588*m**2/7 - 64896*m + 64512 = 0.
2, 336
Solve -s**5/2 + 8*s**4 - 69*s**3/2 + 27*s**2 = 0 for s.
0, 1, 6, 9
Determine u, given that -2*u**3 - 44*u**2 - 322*u - 784 = 0.
-8, -7
Factor -5*c**2/4 + 460*c - 42320.
-5*(c - 184)**2/4
Solve 3*g**2/8 - 513*g/4 + 87723/8 = 0.
171
Suppose 2*w**4/21 + 26*w**3/21 + 106*w**2/21 + 142*w/21 + 20/7 = 0. What is w?
-6, -5, -1
Suppose -r**4 - 29*r**3 + 318*r**2 - 896*r + 608 = 0. What is r?
-38, 1, 4
Find g, given that 8*g**5/9 + 38*g**4/9 - 2*g**3 - 38*g**2/9 + 10*g/9 = 0.
-5, -1, 0, 1/4, 1
Factor -2*w**3 - 70*w**2 - 356*w + 1008.
-2*(w - 2)*(w + 9)*(w + 28)
Solve -2*x**4/15 + 196*x**3/15 - 64*x**2/5 - 196*x/15 + 194/15 = 0.
-1, 1, 97
Factor -5*f**2 - 1420*f + 4305.
-5*(f - 3)*(f + 287)
Factor w**4/7 - w**3 + 16*w**2/7 - 12*w/7.
w*(w - 3)*(w - 2)**2/7
Find z, given that -35*z**2/2 - 39645*z/2 + 5665 = 0.
-1133, 2/7
Factor 5*x**3 + 270*x**2 - 1545*x - 4130.
5*(x - 7)*(x + 2)*(x + 59)
What is g in -2*g**4 - 84*g**3 + 176*g**2 = 0?
-44, 0, 2
Factor -2*v**4/11 + 4*v**3 + 270*v**2/11.
-2*v**2*(v - 27)*(v + 5)/11
Factor -3*q**3/4 - 5661*q**2/4 - 2673405*q/4 - 2667747/4.
-3*(q + 1)*(q + 943)**2/4
Factor -8*s**2/3 - 14*s/3 - 2.
-2*(s + 1)*(4*s + 3)/3
Solve 2*u**4/5 + 51*u**3/5 - 32*u**2/5 - 156*u/5 = 0.
-26, -3/2, 0, 2
Factor 4*r**4/3 + 16*r**3/3 - 28*r**2.
4*r**2*(r - 3)*(r + 7)/3
Find v, given that -v**5/3 - 59*v**4/3 + 82*v**3 - 374*v**2/3 + 251*v/3 - 21 = 0.
-63, 1
Factor 4*q**4 + 176*q**3 - 2928*q**2 - 107008*q + 1478656.
4*(q - 16)**2*(q + 38)**2
Let -4*f**5/3 + 386*f**4/15 - 1262*f**3/15 - 5878*f**2/15 - 3542*f/15 - 484/15 = 0. What is f?
-2, -1/2, -1/5, 11
Factor r**4 - 10*r**3 - 56*r**2.
r**2*(r - 14)*(r + 4)
Solve -3*s**5/5 + 14*s**4/5 - 23*s**3/