 0.
2, 31
Factor -54*q**5 - 132*q**4 - 314*q**3/3 - 88*q**2/3 - 8*q/3.
-2*q*(q + 1)**2*(9*q + 2)**2/3
Factor o**3/7 + 20*o**2/7 - 512*o/7 + 2304/7.
(o - 8)**2*(o + 36)/7
Solve 2*g**5 - 1216*g**4 + 1212*g**3 + 1216*g**2 - 1214*g = 0 for g.
-1, 0, 1, 607
Determine m so that 4*m**4/7 + 40*m**3/7 - 44*m**2/7 = 0.
-11, 0, 1
Let -b**5/3 - 23*b**4/3 + 49*b**3/3 - 25*b**2/3 = 0. Calculate b.
-25, 0, 1
Suppose x**3 + 858*x**2 + 245388*x + 23393656 = 0. What is x?
-286
Factor -q**2/2 + 71*q/2 - 399.
-(q - 57)*(q - 14)/2
Factor 4*s**3 - 4*s**2 - 32*s + 48.
4*(s - 2)**2*(s + 3)
Factor -3*n**3 + 2547*n**2 + 15363*n + 23085.
-3*(n - 855)*(n + 3)**2
Factor -5*h**3 + 303*h**2 + 432*h + 124.
-(h - 62)*(h + 1)*(5*h + 2)
Solve -q**3/2 - 133*q**2/2 = 0.
-133, 0
Factor 2*g**2/5 - 32/5.
2*(g - 4)*(g + 4)/5
Let -244*h**2 - 3*h/2 = 0. What is h?
-3/488, 0
Factor v**3/3 - 173*v**2/3 + 7568*v/3 - 7396/3.
(v - 86)**2*(v - 1)/3
Determine z so that 3*z**3/7 - 171*z**2/7 + 2160*z/7 + 8100/7 = 0.
-3, 30
Factor v**4 + 98*v**3 + 2197*v**2 - 9996*v + 10404.
(v - 2)**2*(v + 51)**2
Factor c**2/2 + 5*c/2.
c*(c + 5)/2
Factor -j**2/7 + 212*j - 1483/7.
-(j - 1483)*(j - 1)/7
Factor -h**2 - 1462*h - 534361.
-(h + 731)**2
Factor 3*o**3 - 63*o**2.
3*o**2*(o - 21)
Suppose f**3 - 20*f**2 - 67*f - 46 = 0. Calculate f.
-2, -1, 23
Factor -x**4/3 + 13*x**3/3 - 4*x**2 - 256*x/3 + 256/3.
-(x - 8)**2*(x - 1)*(x + 4)/3
What is t in 2*t**4/7 + 30*t**3/7 - 82*t**2/7 - 246*t/7 - 136/7 = 0?
-17, -1, 4
Factor 5*z**3 - 20*z**2 - 105*z.
5*z*(z - 7)*(z + 3)
Factor 2*c**2/9 + 2444*c/3 + 746642.
2*(c + 1833)**2/9
What is g in 4*g**5 + 100*g**4 + 760*g**3 + 720*g**2 - 12960*g - 38016 = 0?
-11, -6, 4
Solve 44*w**5/5 - 228*w**4/5 - 268*w**3/5 + 276*w**2/5 + 224*w/5 - 48/5 = 0.
-1, 2/11, 1, 6
Determine d, given that 2*d**2/9 - 348*d + 136242 = 0.
783
Let -4*t**5/7 - 12*t**4 - 360*t**3/7 = 0. Calculate t.
-15, -6, 0
Factor -f**2 - 8*f/5 + 4/5.
-(f + 2)*(5*f - 2)/5
Factor x**3/6 + 329*x**2/6 - x/6 - 329/6.
(x - 1)*(x + 1)*(x + 329)/6
Suppose 4*q**3/5 + 436*q**2/5 - 1344*q/5 = 0. Calculate q.
-112, 0, 3
Suppose c**4 - 305*c**3 - 3*c**2 + 917*c - 610 = 0. Calculate c.
-2, 1, 305
Determine s, given that 12*s**3/5 + 2182*s**2/5 - 364*s/5 = 0.
-182, 0, 1/6
Factor 4*b**5 - 52*b**4 + 160*b**3.
4*b**3*(b - 8)*(b - 5)
Factor -8*p**5 - 76*p**4/5 - 36*p**3/5.
-4*p**3*(p + 1)*(10*p + 9)/5
Let 3*v**4/5 - 9*v**3 + 144*v**2/5 - 132*v/5 = 0. Calculate v.
0, 2, 11
Determine f, given that 20*f**5 - 19475*f**4 + 4777310*f**3 - 17700055*f**2 + 14094100*f + 4704500 = 0.
-1/4, 2, 485
Factor 3*t**3 - 81*t**2 + 693*t - 1815.
3*(t - 11)**2*(t - 5)
Let -7*g**2 - 109*g - 234 = 0. What is g?
-13, -18/7
Factor -98*w**4/5 - 574*w**3/5 - 438*w**2/5 - 18*w.
-2*w*(w + 5)*(7*w + 3)**2/5
Factor g**4/3 - 2*g**3 - 8*g**2/3 + 2*g + 7/3.
(g - 7)*(g - 1)*(g + 1)**2/3
Find v such that -v**2/2 - 120*v = 0.
-240, 0
Let -2*w**3/3 + 62*w**2/3 + 44*w = 0. Calculate w.
-2, 0, 33
Let -5*r**5 + 15*r**4 + 30*r**3 - 40*r**2 = 0. Calculate r.
-2, 0, 1, 4
Let 2*c**4 - 14*c**3/3 + 10*c**2/3 - 2*c/3 = 0. Calculate c.
0, 1/3, 1
Determine u, given that -17*u**2/3 - 6*u - 1/3 = 0.
-1, -1/17
Factor 2*i**2 + 28*i - 102.
2*(i - 3)*(i + 17)
Suppose -4*r**4 + 160*r**3 - 2076*r**2 + 9520*r - 7600 = 0. Calculate r.
1, 10, 19
What is l in 2*l**5/5 + 98*l**4/5 + 282*l**3/5 + 278*l**2/5 + 92*l/5 = 0?
-46, -1, 0
Factor 4*a**4/5 - 8*a**3/5 - 16*a**2 - 96*a/5.
4*a*(a - 6)*(a + 2)**2/5
Factor -3*m**2/5 + 39*m - 2898/5.
-3*(m - 42)*(m - 23)/5
Factor 5*g**3/2 - 67*g**2 + 103*g/2 + 13.
(g - 26)*(g - 1)*(5*g + 1)/2
Solve 25*f**3/4 + 135*f**2/4 + 25*f/2 = 0.
-5, -2/5, 0
Find c such that 4*c**3/3 - 104*c**2 = 0.
0, 78
Let c**5/4 + c**4 + c**3/2 - c**2 - 3*c/4 = 0. What is c?
-3, -1, 0, 1
Factor -5*c**2 + 3105*c + 6230.
-5*(c - 623)*(c + 2)
Factor -78*c**3/5 + 6252*c**2/5 - 25152*c + 3840.
-6*(c - 40)**2*(13*c - 2)/5
What is t in 3*t**4 - 15*t**3 - 264*t**2 - 624*t = 0?
-4, 0, 13
Factor 2*g**2/3 - 76*g/3 - 82.
2*(g - 41)*(g + 3)/3
Let -2*q**4/17 - 76*q**3/17 + 240*q**2/17 - 244*q/17 + 82/17 = 0. Calculate q.
-41, 1
Factor -4*t**2/7 - 1268*t/7 + 1272/7.
-4*(t - 1)*(t + 318)/7
Solve 15*t**4 + 680*t**3 + 885*t**2 + 220*t = 0.
-44, -1, -1/3, 0
Factor -4*j**4 + 32*j**3 + 12*j**2 - 520*j + 800.
-4*(j - 5)**2*(j - 2)*(j + 4)
Suppose b**4 + 56*b**3 + 1126*b**2 + 9576*b + 29241 = 0. What is b?
-19, -9
Suppose -2*l**5/3 - 250*l**4/3 - 2146*l**3/3 - 6806*l**2/3 - 3028*l - 1392 = 0. Calculate l.
-116, -3, -2, -1
Find u such that u**4/11 + 39*u**3/11 - 261*u**2/11 + 405*u/11 = 0.
-45, 0, 3
What is j in 3*j**4/4 - 3*j**3/2 + 3*j**2/4 = 0?
0, 1
What is r in -21*r**5 - 207*r**4 + 1941*r**3 - 1953*r**2 + 240*r = 0?
-16, 0, 1/7, 1, 5
Solve 2*m**3 - 828*m**2 + 88914*m - 659344 = 0 for m.
8, 203
Determine i so that -i**5/3 - 33*i**4 - 643*i**3/3 + 33*i**2 + 644*i/3 = 0.
-92, -7, -1, 0, 1
Suppose -4*w**5/5 - 44*w**4/5 - 172*w**3/5 - 292*w**2/5 - 224*w/5 - 64/5 = 0. What is w?
-4, -1
Factor 2*i**2 - 1364*i.
2*i*(i - 682)
Factor 2*n**3 - 407*n**2/3 + 6868*n/3 + 1156/3.
(n - 34)**2*(6*n + 1)/3
Determine m, given that -192*m**3 + 10800*m**2 - 2691*m + 168 = 0.
1/8, 56
Factor 6*k**4 - 10*k**3 + 4*k**2.
2*k**2*(k - 1)*(3*k - 2)
Factor -3*v**3 - 243*v**2 - 6525*v - 58029.
-3*(v + 23)*(v + 29)**2
Find m, given that 2*m**2/3 + 80*m/3 + 26 = 0.
-39, -1
Factor 3*z**5 + 33*z**4 - 78*z**3 + 6*z**2 + 75*z - 39.
3*(z - 1)**3*(z + 1)*(z + 13)
Suppose 3*h**4 - 3426*h**3 + 1306440*h**2 - 167215200*h + 329232000 = 0. Calculate h.
2, 380
Solve -w**4 + 17*w**3 - 88*w**2 + 144*w = 0.
0, 4, 9
Suppose 3*p**2/5 + 72*p/5 - 108 = 0. Calculate p.
-30, 6
Determine s so that 3*s**2 + 66*s + 63 = 0.
-21, -1
Let 25*x**5 + 15*x**4 - 105*x**3 - 155*x**2 - 60*x = 0. Calculate x.
-1, 0, 12/5
Determine y so that 2*y**5/7 + 4*y**4 - 322*y**3 + 17944*y**2/7 + 42752*y/7 + 22528/7 = 0.
-44, -1, 16
Solve 36*h**3 - 120*h**2 + 112*h - 32 = 0 for h.
2/3, 2
Find m such that -m**2/10 - 3*m/5 - 1/2 = 0.
-5, -1
Find h, given that 4*h**4 - 212*h**3 + 1504*h**2 - 2880*h = 0.
0, 4, 45
Suppose 12*n**4 + 124*n**3 + 80*n**2 - 2064*n - 4032 = 0. What is n?
-6, -7/3, 4
Find s, given that -2*s**2/7 + 14*s + 100/7 = 0.
-1, 50
Factor -12*c**3/5 - 31*c**2/5 + 17*c/5 + 6/5.
-(c + 3)*(3*c - 2)*(4*c + 1)/5
Solve -4*s**4 + 180*s**3 + 576*s**2 = 0.
-3, 0, 48
Find b, given that 5*b**4 - 495*b**3 + 1390*b**2 + 4800*b = 0.
-2, 0, 5, 96
Factor -3*t**3/8 - 27*t**2/2 - 162*t - 648.
-3*(t + 12)**3/8
Suppose 12*k**5 - 32*k**4 - 200*k**3/3 + 16*k**2/3 + 68*k/3 - 16/3 = 0. What is k?
-1, 1/3, 4
Factor -q**3/5 - 51*q**2/5 - 144*q - 1728/5.
-(q + 3)*(q + 24)**2/5
Suppose -c**2/3 - 29*c/3 - 208/3 = 0. What is c?
-16, -13
Factor y**4/8 + 5*y**3/4 - 3*y**2/8 - 35*y/2 + 49/2.
(y - 2)**2*(y + 7)**2/8
Factor -4*q**2/7 - 26616*q/7 - 44275716/7.
-4*(q + 3327)**2/7
Factor 65*t**4 - 270*t**3 + 235*t**2 - 30*t.
5*t*(t - 3)*(t - 1)*(13*t - 2)
Factor 2*u**3/7 - 52*u**2/7 + 64*u - 1280/7.
2*(u - 10)*(u - 8)**2/7
Determine z, given that 2*z**2/7 + 1420*z/7 + 252050/7 = 0.
-355
Determine a, given that a**5 - 8*a**4 + 21*a**3 - 14*a**2 - 20*a + 24 = 0.
-1, 2, 3
Factor 2*m**2/5 + 228*m/5 + 666/5.
2*(m + 3)*(m + 111)/5
Solve -12*o**2 - 484*o - 160 = 0.
-40, -1/3
Solve 2*z**4 - 746*z**3 + 93000*z**2 - 3905504*z + 3813248 = 0 for z.
1, 124
Factor 4*z**4 + 824*z**3 + 816*z**2 - 824*z - 820.
4*(z - 1)*(z + 1)**2*(z + 205)
Suppose -2*c**5/5 - 52*c**4/5 - 336*c**3/5 + 224*c**2 + 3040*c + 4800 = 0. What is c?
-10, -2, 6
Factor q**2/2 - 59*q/2 - 30.
(q - 60)*(q + 1)/2
Solve -5*r**2/3 + 80*r + 245/3 = 0 for r.
-1, 49
Suppose 5*m**3 - 110*m**2 + 605*m = 0. Calculate m.
0, 11
Suppose 3*c**4 - 63*c**3 + 99*c**2 + 303*c - 342 = 0. Calculate c.
-2, 1, 3, 19
Let 4*n**5 + 72*n**4 + 56*n**3 - 208*n**2 - 60*n + 136 = 0. Calculate n.
-17, -2, -1, 1
Find v, given that -3*v**2 - 18*v + 120 = 0.
-10, 4
Factor -2*h**2 - 270*h + 272.
-2*(h - 1)*(h + 136)
Find b such that -2*b**3 + 8*b**2 + 168*b + 288 = 0.
-6, -2, 12
Let 4*l**5 + 12*l**4 - 31*l**3 - 44*l**2 + 60*l - 16 = 0. Calculate l.
-4, -2, 1/2, 2
Solve -5*d**4/4 - 23*d**3/4 - 37*d**2/4 - 25*d/4 - 3/2 = 0.
-2, -1, -3/5
Suppose v**5/2 - v**4/6 - 3*v**3 - 3*v**2 - v/6 + 1/2 = 0. What is v?
-1, 1/3, 3
Factor -3*g**4 + 5*g**3 - g**2 - g.
-g*(g - 1)**2*(3*g + 1)
Determine a 