**2/7 + 104*n/7 - 1352/7 = 0.
26
Suppose -u**4 - 44*u**3 - 624*u**2 - 3280*u - 4400 = 0. What is u?
-22, -10, -2
Factor m**2 + 6*m - 27.
(m - 3)*(m + 9)
Find a, given that 2*a**3 + 16*a**2 + 34*a + 20 = 0.
-5, -2, -1
Factor -f**2/2 - 3*f - 5/2.
-(f + 1)*(f + 5)/2
Suppose -4*f**4 - 80*f**3/9 + 20*f**2/9 + 80*f/9 + 16/9 = 0. Calculate f.
-2, -1, -2/9, 1
Let u**4/5 + 26*u**3/5 + 141*u**2/5 - 364*u/5 + 196/5 = 0. What is u?
-14, 1
Find m, given that 14*m**2/3 - 11*m/3 - 34/3 = 0.
-17/14, 2
Factor -2*g**3/3 + 30*g**2 + 198*g - 15246.
-2*(g - 33)**2*(g + 21)/3
Suppose -m**3/8 - 41*m**2/8 + 21*m/4 = 0. Calculate m.
-42, 0, 1
Find v such that 2*v**3 - 36*v**2 - 78*v - 40 = 0.
-1, 20
Find d, given that -2*d**4 + 44*d**3 - 266*d**2 + 264*d + 576 = 0.
-1, 3, 8, 12
Factor -2*k**2/3 + 26*k + 80/3.
-2*(k - 40)*(k + 1)/3
Factor -x**3/9 + 164*x**2/3 + 1328*x/3 + 8000/9.
-(x - 500)*(x + 4)**2/9
Solve m**4/6 - 35*m**3/6 - 6*m**2 = 0 for m.
-1, 0, 36
Factor 46*l**2/9 + 170*l/3 + 44/9.
2*(l + 11)*(23*l + 2)/9
Find q such that -q**4/7 - 10*q**3/7 - 29*q**2/7 - 32*q/7 - 12/7 = 0.
-6, -2, -1
What is k in k**2/3 - 29*k/3 - 10 = 0?
-1, 30
Let 25*s**5/2 - 55*s**4/2 + 9*s**3 = 0. Calculate s.
0, 2/5, 9/5
Factor -4*v**2 + 216*v.
-4*v*(v - 54)
Let -3*g**4 + 45*g**3 - 207*g**2 + 195*g + 450 = 0. What is g?
-1, 5, 6
What is y in 3*y**3/2 - 45*y**2 - 189*y/2 - 48 = 0?
-1, 32
Factor 2*y**2/17 - 278*y/17 + 276/17.
2*(y - 138)*(y - 1)/17
Factor -4*f**4 - 56*f**3 - 196*f**2 - 144*f.
-4*f*(f + 1)*(f + 4)*(f + 9)
Factor w**4/4 + 1995*w**3/4 - 1997*w**2/2.
w**2*(w - 2)*(w + 1997)/4
Factor -k**4 + 33*k**3 - 113*k**2 - 105*k + 522.
-(k - 29)*(k - 3)**2*(k + 2)
What is r in 3*r**3 + 42*r**2 - 45*r = 0?
-15, 0, 1
Suppose -4*w**2 + 5576*w - 1943236 = 0. What is w?
697
Factor 3*t**2/5 - 654*t + 178215.
3*(t - 545)**2/5
Factor -5*u**3 + 3545*u**2 - 3540*u.
-5*u*(u - 708)*(u - 1)
Factor -f**5/7 - 12*f**4/7 + 4*f**3 - 2*f**2/7 - 27*f/7 + 2.
-(f - 1)**3*(f + 1)*(f + 14)/7
Find b, given that -5*b**3 + 100*b**2 - 185*b + 90 = 0.
1, 18
Solve -28*o**3 - 624*o**2 - 2556*o - 680 = 0 for o.
-17, -5, -2/7
Factor -d**3/4 + 13*d**2/4 - 23*d/4 + 11/4.
-(d - 11)*(d - 1)**2/4
Solve -4*p**4/3 + 28*p**3/3 + 328*p**2/3 - 1120*p/3 + 256 = 0 for p.
-8, 1, 2, 12
Factor -45*h**2 + 390*h - 845.
-5*(3*h - 13)**2
Solve -s**3 + 42*s**2 + 43*s = 0 for s.
-1, 0, 43
Let 4*l**2 - 36*l + 80 = 0. What is l?
4, 5
Suppose -c**5/2 - 9*c**4/2 - 19*c**3/2 + 21*c**2/2 + 46*c + 30 = 0. Calculate c.
-5, -3, -2, -1, 2
What is n in 3*n**5 + 23*n**4 - 209*n**3/3 + 19*n**2/3 + 92*n/3 + 20/3 = 0?
-10, -1/3, 1, 2
Factor -2*t**2 - 16*t - 30.
-2*(t + 3)*(t + 5)
What is g in 2*g**2/19 - 700*g/19 + 61250/19 = 0?
175
Factor 5*j**4 - 85*j**3 - 95*j**2 + 85*j + 90.
5*(j - 18)*(j - 1)*(j + 1)**2
Suppose 2*u**5/7 - 2*u**3/7 = 0. What is u?
-1, 0, 1
Let -5*j**5 + 20*j**4 + 45*j**3 - 200*j**2 + 20*j + 240 = 0. What is j?
-3, -1, 2, 4
Determine r, given that -3*r**4 + 36*r**3 - 93*r**2 - 36*r + 96 = 0.
-1, 1, 4, 8
Find a, given that -a**3/4 + a**2/4 = 0.
0, 1
Solve 3*f**2/2 + 195*f/2 = 0.
-65, 0
Let -484*s**5 - 5280*s**4 - 13652*s**3 + 5400*s**2 + 9936*s - 4320 = 0. Calculate s.
-6, -5, -1, 6/11
Let 2*i**5/15 + 34*i**4/15 + 82*i**3/15 - 34*i**2/15 - 28*i/5 = 0. Calculate i.
-14, -3, -1, 0, 1
Solve 3*v**4 + 9*v**3 - 9*v**2 - 21*v + 18 = 0 for v.
-3, -2, 1
What is j in -33*j**5 + 3129*j**4 + 3738*j**3 + 576*j**2 = 0?
-1, -2/11, 0, 96
Factor -k**2/3 + 7*k/3 - 4.
-(k - 4)*(k - 3)/3
Solve -g**5/7 - 5*g**4/7 + 17*g**3/7 + 7*g**2 - 160*g/7 + 100/7 = 0 for g.
-5, 1, 2
Factor 3*h**4/2 - 15*h**3/2 - 12*h**2 + 18*h.
3*h*(h - 6)*(h - 1)*(h + 2)/2
Factor q**2 + 218*q + 217.
(q + 1)*(q + 217)
Let -2*w**3/5 + 16*w**2/5 - 8*w + 32/5 = 0. Calculate w.
2, 4
Let -14*t**5/17 - 60*t**4/17 + 152*t**3/17 + 48*t**2/17 = 0. What is t?
-6, -2/7, 0, 2
Solve 2*s**3 + 190*s**2 - 388*s = 0 for s.
-97, 0, 2
Factor -3*k**3 + 12*k**2 - 9*k.
-3*k*(k - 3)*(k - 1)
Factor -4*f**2 - 60*f - 104.
-4*(f + 2)*(f + 13)
Suppose -2*a**4 - 70*a**3 + 74*a**2 + 70*a - 72 = 0. What is a?
-36, -1, 1
Factor 2*n**4 - 24*n**3 - 90*n**2.
2*n**2*(n - 15)*(n + 3)
Factor 5*f**4 + 5*f**3 - 5*f**2 - 5*f.
5*f*(f - 1)*(f + 1)**2
Factor -2*g**4 + 4*g**3 + 72*g**2 - 144*g.
-2*g*(g - 6)*(g - 2)*(g + 6)
Factor -n**2 + 68*n - 1156.
-(n - 34)**2
Factor 2*r**2 - 14*r + 49/2.
(2*r - 7)**2/2
Factor -2*m**2/3 - 6124*m - 14063766.
-2*(m + 4593)**2/3
Find o, given that 20*o**3 - 556*o**2 - 692*o - 116 = 0.
-1, -1/5, 29
Let -8*z**5 + 110*z**4 - 452*z**3 + 536*z**2 - 116*z - 70 = 0. What is z?
-1/4, 1, 5, 7
Determine f so that -f**2 + 760*f - 144400 = 0.
380
Let -5*v**5 + 85*v**4 - 285*v**3 - 245*v**2 + 730*v + 600 = 0. What is v?
-1, 2, 5, 12
Let 9*o**2/7 + 1158*o/7 - 387/7 = 0. What is o?
-129, 1/3
Determine r, given that -12*r**5 + 44*r**4 - 36*r**3 - 28*r**2 + 48*r - 16 = 0.
-1, 2/3, 1, 2
Let -c**2/5 - 1436*c/5 + 1437/5 = 0. Calculate c.
-1437, 1
Suppose a**2 - 10*a + 16 = 0. Calculate a.
2, 8
Suppose -4*u**3 + 56*u**2 - 128*u - 512 = 0. What is u?
-2, 8
What is t in -t**3/4 + 575*t**2/4 + 144*t = 0?
-1, 0, 576
Factor 3*i**2 + 72*i + 69.
3*(i + 1)*(i + 23)
Factor -2*b**2 - 664*b - 55112.
-2*(b + 166)**2
What is k in -2*k**4/5 + 22*k**3/5 - 18*k**2/5 - 22*k/5 + 4 = 0?
-1, 1, 10
Determine z so that z**2 - z - 6 = 0.
-2, 3
Suppose -w**4 - 5*w**3 + 24*w**2 - 4*w - 32 = 0. What is w?
-8, -1, 2
Find h, given that -1250*h**3 - 3100*h**2 - 1272*h - 144 = 0.
-2, -6/25
Factor 2*j**3/13 + 28*j**2/13 + 50*j/13 + 24/13.
2*(j + 1)**2*(j + 12)/13
Let t**3/5 + 2*t**2 + 17*t/5 + 8/5 = 0. Calculate t.
-8, -1
Let 36*t**2 + 748*t - 168 = 0. What is t?
-21, 2/9
Determine j so that 3*j**3 - 9*j + 6 = 0.
-2, 1
Factor -4*z**5/3 - 28*z**4 - 296*z**3/3 - 424*z**2/3 - 92*z - 68/3.
-4*(z + 1)**4*(z + 17)/3
Let q**2/3 + 3*q + 8/3 = 0. What is q?
-8, -1
Suppose -x**3 + 4*x**2 + 19*x + 14 = 0. What is x?
-2, -1, 7
Let 3*k**2 - 57*k + 102 = 0. What is k?
2, 17
Solve -25*h**4 - 240*h**3 - 225*h**2 + 730*h - 240 = 0 for h.
-8, -3, 2/5, 1
Suppose -2*w**3/3 - 580*w**2/3 - 42050*w/3 = 0. Calculate w.
-145, 0
Let 3*o**5/8 + 465*o**4/8 + 9123*o**3/4 + 8661*o**2/4 - 18249*o/8 - 17787/8 = 0. What is o?
-77, -1, 1
Factor -q**5/9 + 2*q**4/9 - 2*q**2/9 + q/9.
-q*(q - 1)**3*(q + 1)/9
Factor z**2/2 + 109*z.
z*(z + 218)/2
Factor -3*g**4 - 168*g**3 + 357*g**2 + 522*g.
-3*g*(g - 3)*(g + 1)*(g + 58)
Find x such that -238521*x**5/5 + 4787061*x**4/5 - 333207*x**3/5 + 7743*x**2/5 - 12*x = 0.
0, 1/43, 20
Factor -2*g**2 + 154*g.
-2*g*(g - 77)
Factor -2*g**2/9 - 10*g/9.
-2*g*(g + 5)/9
Determine u, given that -4*u**3 + 16*u**2 + 28*u - 40 = 0.
-2, 1, 5
Factor -4*s**3 - 132*s**2.
-4*s**2*(s + 33)
Suppose 2*g**4 + 110*g**3 - 226*g**2 + 114*g = 0. Calculate g.
-57, 0, 1
What is r in -r**5/2 - 63*r**4/2 + 337*r**3/2 - 209*r**2/2 - 168*r + 136 = 0?
-68, -1, 1, 4
Suppose 2*l**2/7 + 6*l - 44/7 = 0. What is l?
-22, 1
Factor 2*g**4/3 + 20*g**3/3 + 58*g**2/3 + 64*g/3 + 8.
2*(g + 1)**2*(g + 2)*(g + 6)/3
Let -5*q**4 - 100*q**3 - 695*q**2 - 1860*q - 1260 = 0. What is q?
-7, -6, -1
Factor r**3 - 3*r**2 - 144*r - 140.
(r - 14)*(r + 1)*(r + 10)
Factor -2*u**2 - 892*u - 99458.
-2*(u + 223)**2
Suppose -5*p**2/6 - 3065*p/6 = 0. What is p?
-613, 0
Let -10443*p**2/4 + 1416*p - 192 = 0. Calculate p.
16/59
Suppose j**5/4 - 5*j**4/4 - 3*j**3/4 + 13*j**2/4 + 5*j/2 = 0. Calculate j.
-1, 0, 2, 5
Solve t**2/3 + 11*t/3 - 20 = 0.
-15, 4
What is r in -4*r**4 - 48*r**3 - 204*r**2 - 352*r - 192 = 0?
-4, -3, -1
Solve -2*h**2/25 - 26*h/25 - 44/25 = 0.
-11, -2
Let -2*b**4/11 + 26*b**3/11 - 114*b**2/11 + 190*b/11 - 100/11 = 0. What is b?
1, 2, 5
Factor p**5 + 3*p**4 - 2*p**3 - 6*p**2 + p + 3.
(p - 1)**2*(p + 1)**2*(p + 3)
Solve 5*o**3 + 70*o**2 - 75*o = 0 for o.
-15, 0, 1
Factor -3*o**5 - 1437*o**4 - 230394*o**3 - 12515526*o**2 - 24345603*o - 12059037.
-3*(o + 1)**2*(o + 159)**3
Solve -8*i**5/5 + 146*i**4/5 - 14*i**3/5 - 384*i**2/5 - 216*i/5 = 0 for i.
-1, -3/4, 0, 2, 18
Let -d**4 + d**3 + 52*d**2 + 44*d - 96 = 0. Calculate d.
-6, -2, 1, 8
Find d such that -5*d**3 - 355*d**2 - 6120*d + 6480 = 0.
-36, 1
Factor -l**2 + 100*l - 2500.
-(l - 50)**2
Factor 4*c**5 - 12540*c**4 + 15725160*c**3 - 9859675320*c**2 + 3091008212820*c - 387612429887628.
4*(c - 627)**5
Factor 5*l**3 + 95*l**2 - 100*l.
5*l*(l - 1)*(l +