25)*(g + 1)**2
Factor 5*y**5 + 20*y**4 - 60*y**3 - 160*y**2 + 320*y.
5*y*(y - 2)**2*(y + 4)**2
Solve -2*x**5/3 - 340*x**4/9 - 24*x**3 + 452*x**2/9 + 74*x/3 - 112/9 = 0.
-56, -1, 1/3, 1
Let -16*g**5 + 48*g**4 + 12*g**3 - 176*g**2 + 204*g - 72 = 0. Calculate g.
-2, 1, 3/2
What is c in c**5/2 + 2*c**4 - 3*c**3 - 2*c**2 + 5*c/2 = 0?
-5, -1, 0, 1
Determine w so that -2*w**2/11 + 278*w/11 + 564/11 = 0.
-2, 141
What is p in 2*p**2/9 - 34436*p/9 + 148229762/9 = 0?
8609
Suppose -h**4/3 + 2*h**3/3 + 19*h**2/3 - 20*h/3 = 0. What is h?
-4, 0, 1, 5
Let -x**4/4 - 55*x**3/2 - 3433*x**2/4 - 5610*x - 10404 = 0. What is x?
-51, -4
Factor 12*y**4 + 4292*y**3/3 + 952*y**2/3.
4*y**2*(y + 119)*(9*y + 2)/3
Factor 4*q**3 + 8*q**2 - 32*q.
4*q*(q - 2)*(q + 4)
Factor a**2 + 1841*a.
a*(a + 1841)
Suppose 78*p**3/5 + 177*p**2/5 + 33*p/5 - 18/5 = 0. What is p?
-2, -1/2, 3/13
Determine n so that 2*n**4/17 + 18*n**3/17 - 30*n**2/17 - 322*n/17 + 588/17 = 0.
-7, 2, 3
Find a such that -a**2/3 + 103*a - 308/3 = 0.
1, 308
Determine j so that -2*j**3/21 - 2572*j**2/21 - 734*j/3 - 856/7 = 0.
-1284, -1
Factor 4*y**2 + 112*y.
4*y*(y + 28)
Factor -31*q**3/3 - 146*q**2 - 525*q - 196/3.
-(q + 7)**2*(31*q + 4)/3
Factor -3*z**4/4 - 63*z**3/4 - 297*z**2/4 + 363*z/4.
-3*z*(z - 1)*(z + 11)**2/4
Determine g, given that -3*g**2 + 198*g - 2592 = 0.
18, 48
Solve 4*c**2 + 72*c - 252 = 0.
-21, 3
Let -9*y**4 + 219*y**3 - 1368*y**2 + 432*y = 0. What is y?
0, 1/3, 12
Solve 4*h**3/7 - 366*h**2/7 - 186*h/7 + 184/7 = 0 for h.
-1, 1/2, 92
Factor -3*i**3 + 30*i**2 + 213*i + 180.
-3*(i - 15)*(i + 1)*(i + 4)
Factor 4*a**2 + 64*a + 156.
4*(a + 3)*(a + 13)
What is g in -3*g**2/8 + 45*g/8 + 189/4 = 0?
-6, 21
Factor 8*o**3 - 434*o**2 + 918*o + 936.
2*(o - 52)*(o - 3)*(4*o + 3)
Factor 5*o**5 + 585*o**4 - 1190*o**3 + 10*o**2 + 1185*o - 595.
5*(o - 1)**3*(o + 1)*(o + 119)
Find h such that -2*h**2/5 - 956*h/5 + 958/5 = 0.
-479, 1
Determine g, given that -2*g**3/3 + 10*g**2/3 - 2*g - 6 = 0.
-1, 3
Factor -348*k**2 + 2776*k + 64.
-4*(k - 8)*(87*k + 2)
Factor 4*b**3/9 + 808*b**2/9 + 13328*b/3 - 9248.
4*(b - 2)*(b + 102)**2/9
Determine d, given that 2*d**2 - 94*d = 0.
0, 47
Let 3*j**2 - 8004*j + 5338668 = 0. What is j?
1334
Factor 2*u**2/5 + 2*u/5 - 12/5.
2*(u - 2)*(u + 3)/5
Factor -6*u**5/5 - 3*u**4/5 + 9*u**3/5.
-3*u**3*(u - 1)*(2*u + 3)/5
Determine w so that -w**5 - 2*w**4 + 5*w**3 + 10*w**2 - 4*w - 8 = 0.
-2, -1, 1, 2
Suppose 33*j**2 - 12*j - 21 = 0. Calculate j.
-7/11, 1
Factor 4*t**3 - 60*t**2 + 2000.
4*(t - 10)**2*(t + 5)
Factor p**4 + 26*p**3/3 + 52*p**2/3 + 8*p.
p*(p + 2)*(p + 6)*(3*p + 2)/3
Find z, given that -z**4/7 - 3*z**3 - 54*z**2/7 + 4*z/7 + 72/7 = 0.
-18, -2, 1
Factor 12*s**3 - 716*s**2 - 4140*s - 1300.
4*(s - 65)*(s + 5)*(3*s + 1)
Factor f**2 + 1190*f + 354025.
(f + 595)**2
Find t, given that 29*t**4/7 + 114*t**3/7 + 137*t**2/7 + 48*t/7 - 4/7 = 0.
-2, -1, 2/29
Factor 5*p**5 - 50*p**4 - 70*p**3 + 140*p**2 + 265*p + 110.
5*(p - 11)*(p - 2)*(p + 1)**3
Factor 3*h**5/4 + 3*h**4 + 3*h**3.
3*h**3*(h + 2)**2/4
Factor 3*u**2/5 - 159*u/5 - 252.
3*(u - 60)*(u + 7)/5
Factor 2*y**5 - 20*y**4 + 16*y**3 + 20*y**2 - 18*y.
2*y*(y - 9)*(y - 1)**2*(y + 1)
Solve o**5 + 3*o**4/4 - 109*o**3/4 - 73*o**2/4 + 225*o/4 - 25/2 = 0 for o.
-5, -2, 1/4, 1, 5
Factor 5*z**4 + 35*z**3 - 800*z**2 - 6500*z.
5*z*(z - 13)*(z + 10)**2
Factor 4805*z**4 + 1085*z**3 - 3000*z**2 + 720*z.
5*z*(z + 1)*(31*z - 12)**2
Solve 15*y**4 + 168*y**3 + 1692*y**2/5 - 1776*y/5 + 384/5 = 0 for y.
-8, -4, 2/5
Determine b, given that -b**5 - 3*b**4 - b**3 + 3*b**2 + 2*b = 0.
-2, -1, 0, 1
Suppose 24*w**5 - 34*w**4 - 30*w**3 + 28*w**2 = 0. What is w?
-1, 0, 2/3, 7/4
Solve -4*q**4 - 1284*q**3 + 1292*q**2 + 1284*q - 1288 = 0 for q.
-322, -1, 1
Suppose -2*u**3/15 + 598*u**2/15 - 238*u/3 + 198/5 = 0. What is u?
1, 297
What is p in -p**3 + 268*p**2 + 540*p = 0?
-2, 0, 270
Suppose 2*j**2/9 - 8*j/3 - 10 = 0. What is j?
-3, 15
Factor -2*m**3 - 52*m**2 + 194*m + 580.
-2*(m - 5)*(m + 2)*(m + 29)
Factor -5*b**2 - 50*b - 80.
-5*(b + 2)*(b + 8)
Let -180*g**5 - 555*g**4 - 635*g**3 - 320*g**2 - 60*g = 0. What is g?
-1, -3/4, -2/3, 0
Find g such that -2*g**4/11 + 52*g**3/11 + 232*g**2/11 + 240*g/11 = 0.
-2, 0, 30
Factor -11*y**2/5 + 9*y/5 + 26/5.
-(y - 2)*(11*y + 13)/5
Factor 3*s**3 - 96*s**2 + 540*s + 3888.
3*(s - 18)**2*(s + 4)
Factor -2*g**4 - 122*g**3 - 1920*g**2 - 1800*g.
-2*g*(g + 1)*(g + 30)**2
What is b in 5*b**3 - 95*b**2 + 175*b - 85 = 0?
1, 17
Find b, given that -2*b**5/5 - 1052*b**4/5 - 27456*b**3 + 278784*b**2/5 = 0.
-264, 0, 2
Factor -4*p**3/3 - 44*p**2 - 236*p/3 + 124.
-4*(p - 1)*(p + 3)*(p + 31)/3
Determine w, given that 4*w**3 - 52*w**2 + 140*w + 196 = 0.
-1, 7
Let -34*p**2/3 - 143*p/3 - 28/3 = 0. Calculate p.
-4, -7/34
Suppose g**4 + 4*g**3 - 219*g**2 - 446*g - 224 = 0. What is g?
-16, -1, 14
Suppose 3*j**4 + 70*j**3/3 + 128*j**2/3 - 32*j/3 = 0. What is j?
-4, 0, 2/9
Factor -4*i**2 - 3508*i + 3512.
-4*(i - 1)*(i + 878)
What is s in 5*s**5 - 445*s**4 + 2145*s**3 - 3815*s**2 + 2950*s - 840 = 0?
1, 2, 84
Factor -2*w**4 + 4*w**2 - 2.
-2*(w - 1)**2*(w + 1)**2
Factor 2*y**3/21 - 24*y**2/7 - 110*y/7 + 400/21.
2*(y - 40)*(y - 1)*(y + 5)/21
What is j in 5*j**4 + 8550*j**3 + 3663665*j**2 + 7301700*j + 3646580 = 0?
-854, -1
Factor 2*g**3/3 + 22*g**2/3 - 344*g/3 + 320/3.
2*(g - 8)*(g - 1)*(g + 20)/3
Determine w so that -12*w**5 - 2044*w**4 - 87372*w**3 - 27540*w**2 + 57800*w = 0.
-85, -1, 0, 2/3
Suppose -18*h**4/7 - 60*h**3 + 328*h**2/7 + 976*h/7 + 384/7 = 0. What is h?
-24, -2/3, 2
What is d in 2*d**4/9 - 20*d**3/3 - 22*d**2/3 + 124*d/9 = 0?
-2, 0, 1, 31
Suppose 7*u**4 - 317*u**3 + 384*u**2 + 532*u - 176 = 0. What is u?
-1, 2/7, 2, 44
Factor 14*g**3/3 + 100*g**2 - 176*g/3.
2*g*(g + 22)*(7*g - 4)/3
Suppose -3*h**4 + 18*h**3 - 27*h**2 + 12*h = 0. Calculate h.
0, 1, 4
Find c such that -2*c**3 - 2*c**2 + 4*c = 0.
-2, 0, 1
Let -138*h**5 - 418*h**4/3 + 410*h**3/3 + 418*h**2/3 + 4*h/3 = 0. What is h?
-1, -2/207, 0, 1
Factor 4*r**3/5 + 6*r**2 + 12*r/5 - 14/5.
2*(r + 1)*(r + 7)*(2*r - 1)/5
Let -20*u**4 + 1340*u**3 - 3885*u**2 + 2880*u = 0. What is u?
0, 3/2, 64
Suppose -1209*p**2/5 - 1203*p/5 + 6/5 = 0. What is p?
-1, 2/403
Suppose -3*g**2/8 + 21*g/8 - 9/4 = 0. Calculate g.
1, 6
Determine u so that -5*u**3 + 55*u**2 + 200*u + 140 = 0.
-2, -1, 14
Factor 3*d**2 - 285*d.
3*d*(d - 95)
Determine t, given that -t**3/2 + 12*t**2 - 165*t/2 + 175 = 0.
5, 14
Determine n, given that 3*n**5 - 3*n**4 - 33*n**3 - 21*n**2 + 30*n + 24 = 0.
-2, -1, 1, 4
Factor -j**5 - 29*j**4 - 26*j**3 + 56*j**2.
-j**2*(j - 1)*(j + 2)*(j + 28)
Find z such that 3*z**4 - 552*z**3 + 25392*z**2 = 0.
0, 92
Factor 2*r**3 + 1072*r**2 - 2152*r.
2*r*(r - 2)*(r + 538)
What is i in 3*i**2 + 2166*i + 390963 = 0?
-361
Find l such that -9*l**4/2 + 93*l**3/2 + 87*l**2 + 36*l = 0.
-1, -2/3, 0, 12
Determine d, given that -3*d**5/2 + 16*d**4 + 8*d**3 - 27*d**2 - 13*d/2 + 11 = 0.
-1, 2/3, 1, 11
Solve 4*z**3 + 28*z**2 - 196*z - 1372 = 0 for z.
-7, 7
Determine j so that -4*j**4/5 + 28*j**3/5 + 4*j**2/5 - 28*j/5 = 0.
-1, 0, 1, 7
Suppose -n**3/11 - 13*n**2/11 + 64*n/11 - 68/11 = 0. What is n?
-17, 2
Factor -16*d**3 + 52*d**2 + 52*d - 16.
-4*(d - 4)*(d + 1)*(4*d - 1)
Find n such that -n**5 + 8*n**4 - 20*n**3 + 16*n**2 = 0.
0, 2, 4
Find y such that -y**4/8 - 17*y**3/8 - 15*y**2/4 = 0.
-15, -2, 0
Factor 4*k**4 + 152*k**3 - 828*k**2 + 1360*k - 688.
4*(k - 2)**2*(k - 1)*(k + 43)
Determine o so that o**2/8 - 123*o/8 - 31/2 = 0.
-1, 124
Solve t**4/6 - t**3/3 + t**2/6 = 0 for t.
0, 1
Factor -2*k**2/3 + 10*k/3 + 28/3.
-2*(k - 7)*(k + 2)/3
Factor 5*l**2 - 1730*l - 1735.
5*(l - 347)*(l + 1)
Determine f so that 3*f**3/4 + 377*f**2/4 - 507*f/4 + 127/4 = 0.
-127, 1/3, 1
Find j, given that 2*j**4 - 276*j**3 - 280*j**2 + 276*j + 278 = 0.
-1, 1, 139
Find i such that -3*i**5 + 39*i**4 + 246*i**3 + 420*i**2 + 216*i = 0.
-2, -1, 0, 18
Determine s, given that -3*s**4 + 93*s**3 - 324*s**2 = 0.
0, 4, 27
Factor 2*f**5/15 + 6*f**4/5 + 14*f**3/5 + 38*f**2/15 + 4*f/5.
2*f*(f + 1)**3*(f + 6)/15
Determine r, given that 2*r**3 - 180*r**2 - 1536*r - 3136 = 0.
-4, 98
Factor -5*q**3 - 270*q**2 - 3645*q.
-5*q*(q + 27)**2
Determine z, given that 5*z**4 + 230*z**3 + 435*z**2 - 230*z - 440 = 0.
-44, -2, -1, 1
What is c in -2*c**3/3 + 14*c**2 - 66*c - 242/3 = 0?
-1, 11
