z**2 + 40*z - 20 = 0.
-1, 1, 2
Factor 122*n**3 - 489*n**2 + 492*n - 4.
(n - 2)**2*(122*n - 1)
Solve -r**4/2 - 39*r**3/2 - 75*r**2/2 - 37*r/2 = 0.
-37, -1, 0
What is f in 28*f**3 - 9568*f**2 + 816012*f + 233928 = 0?
-2/7, 171
Factor v**3/3 + 5*v**2/3 + 7*v/3 + 1.
(v + 1)**2*(v + 3)/3
Factor f**2 + 29*f + 180.
(f + 9)*(f + 20)
Let 3*k**3/2 - 39*k**2/2 + 63*k = 0. Calculate k.
0, 6, 7
Factor -r**4 + 2*r**3 + 9*r**2 - 18*r.
-r*(r - 3)*(r - 2)*(r + 3)
Let -5*s**2 + 44240*s - 97858880 = 0. What is s?
4424
Factor 3*x**2 - 36*x + 108.
3*(x - 6)**2
Determine n, given that -3*n**4/4 + 111*n**3/4 - 675*n**2/2 + 1701*n - 3078 = 0.
6, 19
Solve -4*d**2/3 + 8*d + 96 = 0.
-6, 12
Determine m so that -3*m**2 + 24*m + 27 = 0.
-1, 9
Determine j so that -j**5/2 - 17*j**4/2 - 61*j**3/2 + 117*j**2/2 + 81*j = 0.
-9, -1, 0, 2
Factor -2*a**5 + 18*a**3.
-2*a**3*(a - 3)*(a + 3)
Factor b**3/2 - 9*b**2/2.
b**2*(b - 9)/2
Suppose -r**3/9 + 88*r**2/9 - 173*r/9 + 86/9 = 0. Calculate r.
1, 86
Find c such that 2*c**4/9 - 4*c**3/9 - 8*c**2/3 - 28*c/9 - 10/9 = 0.
-1, 5
Suppose 2*l**5 + 28*l**4 - 266*l**3 + 572*l**2 - 336*l = 0. What is l?
-21, 0, 1, 2, 4
Factor 16*k**2 + 236*k + 868.
4*(k + 7)*(4*k + 31)
What is n in 18*n**5 - 41*n**4 - 46*n**3 + 19*n**2 + 6*n = 0?
-1, -2/9, 0, 1/2, 3
Factor -a**4/3 - 2*a**3 + 35*a**2/3 - 16*a + 20/3.
-(a - 2)*(a - 1)**2*(a + 10)/3
Factor 3*u**3 - 132*u**2 + 585*u.
3*u*(u - 39)*(u - 5)
Solve -5*i**5/7 + 81*i**4/7 + 683*i**3/7 - 139*i**2 - 402*i/7 + 88 = 0 for i.
-7, -4/5, 1, 22
Let -3*r**2/7 - 303*r/7 + 1590/7 = 0. Calculate r.
-106, 5
Determine m so that -6*m**4/5 - 4*m**3/5 + 90*m**2 + 360*m + 200 = 0.
-5, -2/3, 10
Factor -20*l**4 - 155*l**3 - 100*l**2 + 35*l.
-5*l*(l + 1)*(l + 7)*(4*l - 1)
Let -3*h**3 + 12*h**2 - 15*h + 6 = 0. Calculate h.
1, 2
Let -16*p**3/5 - 132*p**2 - 6692*p/5 - 1632/5 = 0. What is p?
-24, -17, -1/4
Solve 2*g**5 + 124*g**4 - 270*g**3 - 904*g**2 - 512*g = 0 for g.
-64, -1, 0, 4
Suppose -12*c**4 - 118*c**3 - 78*c**2 + 118*c + 90 = 0. What is c?
-9, -1, -5/6, 1
Factor -2*w**4 + 2750*w**3 - 1261332*w**2 + 193402408*w - 192143824.
-2*(w - 458)**3*(w - 1)
Find g, given that 4*g**2 - 7184*g + 3225616 = 0.
898
Factor -2*f**5 + 110*f**4 - 1664*f**3 + 4056*f**2.
-2*f**2*(f - 26)**2*(f - 3)
Let 5*j**2 + 70*j - 475 = 0. Calculate j.
-19, 5
Factor 5*v**2/6 + 196*v + 235/6.
(v + 235)*(5*v + 1)/6
What is n in -225*n**3 + 1130*n**2 - 1536*n + 288 = 0?
2/9, 12/5
Factor o**5/5 - 16*o**4 + 2104*o**3/5 - 17334*o**2/5 - 24057*o/5 + 39366/5.
(o - 27)**3*(o - 1)*(o + 2)/5
Factor -3*b**4/2 - 15*b**3/2 - 9*b**2 + 6*b + 12.
-3*(b - 1)*(b + 2)**3/2
Factor -v**4/5 + 51*v**3/5 - 673*v**2/5 + 105*v + 250.
-(v - 25)**2*(v - 2)*(v + 1)/5
Factor 2*o**3 - 2*o**2 - 92*o - 160.
2*(o - 8)*(o + 2)*(o + 5)
Factor i**3/8 - 3*i**2/4 - 5*i.
i*(i - 10)*(i + 4)/8
Factor -2*d**3/13 + 70*d**2/13 - 646*d/13 + 578/13.
-2*(d - 17)**2*(d - 1)/13
Factor -r**5 + 110*r**4 - 4840*r**3 + 106480*r**2 - 1171280*r + 5153632.
-(r - 22)**5
Find z such that 6*z**4/17 + 16*z**3/17 - 66*z**2/17 + 20*z/17 = 0.
-5, 0, 1/3, 2
Factor -5*t**3/2 - 10*t**2 - 25*t/2 - 5.
-5*(t + 1)**2*(t + 2)/2
Suppose -4*x**3/7 + 148*x**2/7 - 144*x/7 = 0. Calculate x.
0, 1, 36
Factor -17*y**2/5 + 235*y - 138/5.
-(y - 69)*(17*y - 2)/5
Factor -x**2 + 616*x - 94864.
-(x - 308)**2
Let -4*y**4 + 656*y**3 - 644*y**2 - 1304*y = 0. Calculate y.
-1, 0, 2, 163
Determine k so that 2*k**2 + 58*k - 420 = 0.
-35, 6
What is m in -2*m**5/17 + 312*m**4/17 - 922*m**3/17 + 36*m**2 = 0?
0, 1, 2, 153
Factor -4*g**4 - 168*g**3 + 176*g**2 + 168*g - 172.
-4*(g - 1)**2*(g + 1)*(g + 43)
Solve i**3/4 + 7*i**2/2 + 15*i + 18 = 0.
-6, -2
Suppose 4*l**4/7 + 4*l**3/7 - 24*l**2/7 = 0. What is l?
-3, 0, 2
Factor h**3/5 - 8*h**2/5 + 3*h.
h*(h - 5)*(h - 3)/5
What is h in -2*h**2/5 + 388*h/5 + 5382/5 = 0?
-13, 207
Factor -t**3/2 + 6*t - 8.
-(t - 2)**2*(t + 4)/2
Solve g**3/2 - 24*g**2 + 90*g + 5400 = 0 for g.
-12, 30
Factor w**5 - 6*w**4 - 16*w**3.
w**3*(w - 8)*(w + 2)
Factor -363*g**3 + 1947*g**2 - 3312*g + 1728.
-3*(g - 1)*(11*g - 24)**2
Determine m so that -2*m**5/5 + 18*m**4/5 - 8*m**3 - 32*m**2/5 + 192*m/5 - 32 = 0.
-2, 2, 5
Factor -12*q**5 - 32*q**4 + 16*q**3 + 64*q**2.
-4*q**2*(q + 2)**2*(3*q - 4)
Suppose -5*y**4/3 - 20*y**3/3 + 25*y**2 + 30*y = 0. What is y?
-6, -1, 0, 3
Factor 3*k**4/7 + 285*k**3/7 + 6624*k**2/7 - 6912*k/7.
3*k*(k - 1)*(k + 48)**2/7
Solve -2*t**4 + 68*t**3 - 358*t**2 + 628*t - 336 = 0.
1, 2, 3, 28
Suppose -4*z**4 - 403*z**3 - 299*z**2 + 100*z = 0. What is z?
-100, -1, 0, 1/4
Factor 5*r**2 + 2240*r + 250880.
5*(r + 224)**2
Factor 4*h**3/3 - 20*h**2 - 44*h - 68/3.
4*(h - 17)*(h + 1)**2/3
Factor v**3/7 - 2*v**2/7.
v**2*(v - 2)/7
Determine x, given that 3*x**3 - 51*x**2 + 132*x - 84 = 0.
1, 2, 14
What is d in -2*d**3 - 1068*d**2/7 - 20520*d/7 - 5776/7 = 0?
-38, -2/7
Find g, given that -2*g**5/7 + 2*g**4/7 + 18*g**3/7 + 22*g**2/7 + 8*g/7 = 0.
-1, 0, 4
Factor -a**4 - 1803*a**3 - 815402*a**2 - 2433600*a - 1620000.
-(a + 1)*(a + 2)*(a + 900)**2
Factor -3*a**3/5 - 24*a**2/5 - 51*a/5 - 6.
-3*(a + 1)*(a + 2)*(a + 5)/5
Factor 3*a**3 + 591*a**2 - 2403*a + 1809.
3*(a - 3)*(a - 1)*(a + 201)
Factor -2*g**4/3 - 16*g**3/3 + 40*g**2/3.
-2*g**2*(g - 2)*(g + 10)/3
What is g in 9*g**3 + 444*g**2 - 759*g + 306 = 0?
-51, 2/3, 1
Factor 3*f**2 + 240*f - 492.
3*(f - 2)*(f + 82)
Solve -2*j**2/3 + 10*j/3 - 4 = 0.
2, 3
Find i, given that 2*i**5 - 82*i**4 + 158*i**3 - 78*i**2 = 0.
0, 1, 39
Let -5*g**5 - 50*g**4 - 165*g**3 - 160*g**2 + 140*g + 240 = 0. What is g?
-4, -3, -2, 1
Solve 405*h**5 - 729*h**4 + 189*h**3 + 273*h**2 - 162*h + 24 = 0 for h.
-2/3, 1/3, 4/5, 1
Factor -4*j**3/5 - 4*j**2.
-4*j**2*(j + 5)/5
Factor m**3/5 + 2*m**2/5 - 19*m + 60.
(m - 5)**2*(m + 12)/5
Solve i**4/8 - 81*i**3/2 + 637*i**2/8 + 1125*i/4 + 161 = 0.
-1, 4, 322
Solve 3*y**4 - 12*y**2 = 0.
-2, 0, 2
Solve -2*m**4/5 + 12*m**3/5 - 2*m**2/5 - 48*m/5 - 32/5 = 0 for m.
-1, 4
Factor p**2/3 + 529*p/3 + 1054/3.
(p + 2)*(p + 527)/3
Solve 5*o**5 - 55*o**4 - 45*o**3 + 515*o**2 - 160*o - 660 = 0.
-3, -1, 2, 11
Factor o**4/2 - 9*o**3 + 93*o**2/2 - 40*o - 96.
(o - 8)**2*(o - 3)*(o + 1)/2
Determine h, given that 7*h**5 + 1741*h**4 - 9367*h**3 + 7931*h**2 + 14460*h - 4572 = 0.
-254, -1, 2/7, 3
Let -10*a**2/9 + 106*a/3 + 64/9 = 0. Calculate a.
-1/5, 32
Factor 3*r**3 + 72*r**2 - 75*r.
3*r*(r - 1)*(r + 25)
Let -n**5 - n**4 + 21*n**3 - 47*n**2 + 40*n - 12 = 0. What is n?
-6, 1, 2
Factor 2*p**2 - 5712*p + 4078368.
2*(p - 1428)**2
Factor -3*z**4 - 48*z**3 - 237*z**2 - 468*z - 324.
-3*(z + 2)**2*(z + 3)*(z + 9)
Suppose -4*t**5/7 - 48*t**4/7 - 32*t**3/7 + 512*t**2/7 + 192*t/7 - 1280/7 = 0. Calculate t.
-10, -4, -2, 2
Factor m**3 + 54*m**2 + 689*m - 744.
(m - 1)*(m + 24)*(m + 31)
Factor 3*a**4/8 - 27*a**3/8 + 81*a**2/8 - 93*a/8 + 9/2.
3*(a - 4)*(a - 3)*(a - 1)**2/8
Find o, given that -2*o**4/3 + 98*o**3/3 - 362*o**2/3 + 26*o + 180 = 0.
-1, 2, 3, 45
Factor 3*m**4/4 + 3*m**3 - 9*m**2/4 - 21*m/2 - 6.
3*(m - 2)*(m + 1)**2*(m + 4)/4
Find j such that -2*j**3/11 - 8*j**2/11 - 6*j/11 = 0.
-3, -1, 0
Factor -r**5/3 - r**4/3 + 8*r**3/3 + 4*r**2.
-r**2*(r - 3)*(r + 2)**2/3
Factor 4*k**3 - 152*k**2 + 1840*k - 7200.
4*(k - 18)*(k - 10)**2
Suppose -o**4/6 - 5*o**3/6 + 8*o**2/3 + 34*o/3 + 8 = 0. What is o?
-6, -2, -1, 4
Let 3*k**3 + 20997*k**2 + 48986001*k + 38094780111 = 0. Calculate k.
-2333
Factor -2646*k**3 + 378*k**2 - 18*k + 2/7.
-2*(21*k - 1)**3/7
Let 2*f**2 - 100*f = 0. Calculate f.
0, 50
Determine x, given that x**4/3 - 47*x**3/3 - 148*x**2/3 - 100*x/3 = 0.
-2, -1, 0, 50
Factor -4*u**4 + 360*u**3 - 708*u**2 + 352*u.
-4*u*(u - 88)*(u - 1)**2
What is r in r**3 - 77*r**2 - 498*r = 0?
-6, 0, 83
Let 3*z**3 + 9912*z**2 + 8197215*z + 16354806 = 0. What is z?
-1651, -2
Suppose 2*j**5/5 + 58*j**4/5 - 172*j**3/5 - 1488*j**2/5 = 0. What is j?
-31, -4, 0, 6
Solve -64*x**5/5 - 912*x**4/5 - 828*x**3 - 6507*x**2/5 - 4212*x/5 - 972/5 = 0 for x.
-6, -3/4
Suppose 5*j**2/4 + 38*j + 15 = 0. Calculate j.
-30, -2/5
Determine s, given that -s**3/6 + 10*s**2/3 - 8*s - 96 = 0.
-4, 12
Suppose 4*l**5/7 - 12*l**4/7 + 12*l**3/7 - 4*l**2/7 = 0. Calculate l.
0, 1
Solve 2*z**3/7 + 62*z**2/7 - 68*z/7 - 128/7 = 0.
-32, -1, 2
Factor 605*v**2/4 + 825*v/2 + 1125/4.
5*(11*v + 15)**2/4
Let -v**2/4 - 71*v/4 - 35/2 = 0. What is v?
-70, -1
Facto