n**2 - 9012*n + 20304036.
(n - 4506)**2
What is o in 3*o**5/4 - o**4 - 23*o**3/4 + 11*o**2 - 3*o = 0?
-3, 0, 1/3, 2
Suppose 21*u**4 + 300*u**3 + 1155*u**2 + 1440*u + 324 = 0. Calculate u.
-9, -3, -2, -2/7
Factor 3*n**3 - 4653*n**2 + 1806525*n - 1801875.
3*(n - 775)**2*(n - 1)
Suppose 5*o**5 + 32*o**4 + 12*o**3 - 160*o**2 - 64*o = 0. Calculate o.
-4, -2/5, 0, 2
Solve -b**2 + 3*b - 2 = 0 for b.
1, 2
Factor l**5 - 14*l**4 + 46*l**3 + 40*l**2 - 119*l - 98.
(l - 7)**2*(l - 2)*(l + 1)**2
Suppose 2*b**5 + 44*b**4 - 212*b**3 - 80*b**2 + 642*b + 468 = 0. What is b?
-26, -1, 3
Let -16*r**2 + 30*r = 0. What is r?
0, 15/8
Factor -2*i**3/23 + 72*i**2/23 - 810*i/23 + 2700/23.
-2*(i - 15)**2*(i - 6)/23
Solve 4*k**4/9 + 38*k**3/3 - 20*k**2 + 2*k/9 + 20/3 = 0 for k.
-30, -1/2, 1
Determine a so that 3*a**4/2 - 3293*a**3 + 3290*a**2/3 + 1829*a + 2195/6 = 0.
-1/3, 1, 2195
Factor 4*o**5 - 20*o**4 + 8*o**3 + 32*o**2.
4*o**2*(o - 4)*(o - 2)*(o + 1)
Factor -2*d**2 - 7128*d - 6351048.
-2*(d + 1782)**2
Let 4*l**2/7 + 120*l/7 + 32 = 0. What is l?
-28, -2
Factor -7*b**3/4 + 6*b**2 + 19*b/4 - 3.
-(b - 4)*(b + 1)*(7*b - 3)/4
What is b in -15*b**2/7 - 6*b/7 = 0?
-2/5, 0
Solve v**2/4 + 1585*v/4 = 0.
-1585, 0
Find j such that -5*j**5 + 415*j**4 + 850*j**3 + 10*j**2 - 845*j - 425 = 0.
-1, 1, 85
Factor -3*u**3 + 30*u**2 - 96*u + 96.
-3*(u - 4)**2*(u - 2)
Solve -5*i**2 + 80*i = 0 for i.
0, 16
Factor 5*r**4 + 165*r**3 + 1275*r**2 - 1445*r.
5*r*(r - 1)*(r + 17)**2
Factor 5*r**3 + 180*r**2 + 340*r.
5*r*(r + 2)*(r + 34)
Determine p so that 12*p**3/7 + 590*p**2/7 - 502*p/7 - 100/7 = 0.
-50, -1/6, 1
Solve g**4/8 - 285*g**3/4 - 143*g**2/2 + 285*g/4 + 571/8 = 0.
-1, 1, 571
Factor 2*n**4 - 102*n**3 + 98*n**2 + 102*n - 100.
2*(n - 50)*(n - 1)**2*(n + 1)
Factor -5*x**4 + 20*x**3 - 15*x**2.
-5*x**2*(x - 3)*(x - 1)
Find p, given that -3*p**4/2 + 48*p**3 + 3*p**2/2 - 48*p = 0.
-1, 0, 1, 32
Factor 2*d**3/13 - 1494*d**2/13 - 1496*d/13.
2*d*(d - 748)*(d + 1)/13
Suppose -n**4 - 4*n**3 - 3*n**2 = 0. What is n?
-3, -1, 0
Factor -4*f**4 + 360*f**3 - 7348*f**2 - 33840*f - 35344.
-4*(f - 47)**2*(f + 2)**2
Factor 2*u**3/5 - 26*u**2/5 + 16*u - 72/5.
2*(u - 9)*(u - 2)**2/5
Solve -m**5/8 + 27*m**4/8 - 215*m**3/8 + 493*m**2/8 - 111*m/2 + 35/2 = 0 for m.
1, 10, 14
Find d, given that -d**4/3 + 165*d**3 - 329*d**2 + 493*d/3 = 0.
0, 1, 493
Solve -g**5 + g**4 + 14*g**3 + 26*g**2 + 19*g + 5 = 0 for g.
-1, 5
What is h in h**3 - 8*h**2 - 20*h = 0?
-2, 0, 10
What is d in -2*d**4/13 - 592*d**3/13 - 41326*d**2/13 + 375136*d/13 + 415872/13 = 0?
-152, -1, 9
Find s, given that -5*s**3 + 75*s**2 - 310*s + 240 = 0.
1, 6, 8
Factor -a**2/8 - 7*a/8 - 5/4.
-(a + 2)*(a + 5)/8
Find n, given that 2*n**2 - 12*n = 0.
0, 6
Let -k**5/2 + 13*k**4/2 - 31*k**3/2 - 153*k**2/2 + 216*k + 270 = 0. Calculate k.
-3, -1, 5, 6
Determine t, given that 2*t**3 - 4*t**2 - 42*t - 36 = 0.
-3, -1, 6
Factor 12*p**3 - 448*p**2 + 580*p - 144.
4*(p - 36)*(p - 1)*(3*p - 1)
Factor n**3/5 + 18*n**2/5 - 119*n.
n*(n - 17)*(n + 35)/5
Factor -3*q**4/2 - 204*q**3 - 9729*q**2 - 189924*q - 2600283/2.
-3*(q + 19)**2*(q + 49)**2/2
Factor -8*k**3 + 38*k**2 + 10*k.
-2*k*(k - 5)*(4*k + 1)
Find h, given that -3*h**3/5 - 441*h**2/5 + 891*h/5 - 447/5 = 0.
-149, 1
Factor -2*p**3 - 20*p**2 - 54*p - 36.
-2*(p + 1)*(p + 3)*(p + 6)
Factor -2*m**2 + 32*m + 3234.
-2*(m - 49)*(m + 33)
Let -b**5 + 17*b**4 - 102*b**3 + 230*b**2 - 25*b - 375 = 0. What is b?
-1, 3, 5
Factor -2*n**3/3 - 3*n**2 - 10*n/3 - 1.
-(n + 1)*(n + 3)*(2*n + 1)/3
Let u**4/3 + 133*u**3/3 + 258*u**2 + 1532*u/3 + 1016/3 = 0. Calculate u.
-127, -2
Factor -147*a**4/2 + 1015*a**3 - 3818*a**2 + 2116*a.
-a*(3*a - 2)*(7*a - 46)**2/2
Factor -3*a**3 + 24*a**2 + 129*a - 330.
-3*(a - 11)*(a - 2)*(a + 5)
Factor -t**2 - 18*t - 17.
-(t + 1)*(t + 17)
Factor z**5 + 5*z**4 - 54*z**3 + 124*z**2 - 88*z.
z*(z - 2)**3*(z + 11)
Factor -l**3/3 - 17*l**2/9 - 32*l/9 - 20/9.
-(l + 2)**2*(3*l + 5)/9
Suppose -2*n**3/13 - 276*n**2/13 - 9522*n/13 = 0. Calculate n.
-69, 0
Find m such that -m**2 + 4*m + 77 = 0.
-7, 11
Factor 5*z**4 + 140*z**3 + 425*z**2 - 1290*z + 720.
5*(z - 1)**2*(z + 6)*(z + 24)
Factor -o**5 + 8*o**4 - 2*o**3 - 32*o**2 - 21*o.
-o*(o - 7)*(o - 3)*(o + 1)**2
Suppose -d**3/4 + 5*d**2/4 - 3*d/4 - 9/4 = 0. Calculate d.
-1, 3
Let 5*q**5 - 385*q**4 + 7210*q**3 + 7990*q**2 - 7215*q - 7605 = 0. What is q?
-1, 1, 39
Determine v, given that 6*v**5 - 15*v**4 + 6*v**3 + 12*v**2 - 12*v + 3 = 0.
-1, 1/2, 1
Find q such that q**5/5 - 6*q**3/5 + 8*q**2/5 - 3*q/5 = 0.
-3, 0, 1
Factor 2*n**2/9 + 22*n/3 + 484/9.
2*(n + 11)*(n + 22)/9
Suppose -2*x**2/5 - 336*x/5 + 1376/5 = 0. Calculate x.
-172, 4
Factor 4*n**5 - 2920*n**4 + 852640*n**3 - 124485440*n**2 + 9087437120*n - 265353163904.
4*(n - 146)**5
Factor -20*d**5 - 475*d**4 - 2760*d**3 + 720*d**2.
-5*d**2*(d + 12)**2*(4*d - 1)
Find t, given that 104*t**2/3 - 1970*t/3 - 38 = 0.
-3/52, 19
Factor 3*v**2/4 + 3*v - 9.
3*(v - 2)*(v + 6)/4
Let 2*m**2/11 + 54*m/11 - 180/11 = 0. Calculate m.
-30, 3
Factor -i**2 + 522*i - 68121.
-(i - 261)**2
What is z in z**4/4 + 10*z**3 + 367*z**2/4 + 60*z - 1296 = 0?
-27, -8, 3
Factor 2*z**3/5 + 8*z**2/5 + 8*z/5.
2*z*(z + 2)**2/5
Find f such that 75*f**4/8 + 325*f**3/8 + 327*f**2/8 + 83*f/8 + 3/4 = 0.
-3, -1, -1/5, -2/15
Factor 3*j**4 - 128*j**3 - 456*j**2 - 192*j + 368.
(j - 46)*(j + 2)**2*(3*j - 2)
Factor 2*w**3 - 6*w**2 - 18*w - 10.
2*(w - 5)*(w + 1)**2
Solve -35*q**5 - 200*q**4 + 1495*q**3 - 200*q**2 - 1460*q + 400 = 0.
-10, -1, 2/7, 1, 4
Suppose -2*l**2/7 - 232*l/7 = 0. What is l?
-116, 0
Factor z**4/3 + 7*z**3/3 + 16*z**2/3 + 4*z.
z*(z + 2)**2*(z + 3)/3
Factor -h**3/4 + h**2/4 + 3*h/2.
-h*(h - 3)*(h + 2)/4
Factor -3*l**2 - 90*l + 93.
-3*(l - 1)*(l + 31)
Factor 4*h**4 - 1540*h**3 + 147453*h**2 + 148610*h + 37249.
(h - 193)**2*(2*h + 1)**2
Solve -2*o**2 + 56*o - 104 = 0 for o.
2, 26
Factor -5*x**4/2 - 75*x**3 - 480*x**2 + 1280*x.
-5*x*(x - 2)*(x + 16)**2/2
Factor -t**2/3 - 14*t/3.
-t*(t + 14)/3
Let 5*c**5/4 - 45*c**4/2 - 5*c**3/2 + 45*c**2 + 5*c/4 - 45/2 = 0. What is c?
-1, 1, 18
Factor 2*p**4 - 2*p**3 - 42*p**2 + 18*p + 216.
2*(p - 4)*(p - 3)*(p + 3)**2
Factor -2*v**2 + 34*v + 36.
-2*(v - 18)*(v + 1)
Factor 20*p**4 - 15*p**3 - 25*p**2 + 15*p + 5.
5*(p - 1)**2*(p + 1)*(4*p + 1)
Find w such that -2*w**5/13 - 10*w**4/13 + 2*w**3/13 + 82*w**2/13 + 144*w/13 + 72/13 = 0.
-3, -2, -1, 3
Factor -b**4/2 + b**3 + 4*b**2 - 9*b + 9/2.
-(b - 3)*(b - 1)**2*(b + 3)/2
Factor -p**4/4 + p**2/4.
-p**2*(p - 1)*(p + 1)/4
Find t such that 3*t**5/4 + 25*t**4/4 + 6*t**3 - 25*t**2 + 12*t = 0.
-6, -4, 0, 2/3, 1
Determine i, given that 8*i**4 + 42*i**3 + 16*i**2 - 174*i - 180 = 0.
-3, -5/4, 2
Factor 2*t**2 + 72*t - 320.
2*(t - 4)*(t + 40)
Determine x, given that -2*x**5/7 + 48*x**4/7 - 74*x**3/7 - 324*x**2/7 + 328*x/7 + 528/7 = 0.
-2, -1, 2, 3, 22
Determine q, given that -4*q**4 - 76*q**3 + 264*q**2 - 16*q - 352 = 0.
-22, -1, 2
Factor y**5 + 41*y**4 + 117*y**3 + 115*y**2 + 38*y.
y*(y + 1)**3*(y + 38)
Factor 2*w**2/9 + 13*w/9 + 20/9.
(w + 4)*(2*w + 5)/9
Solve -k**2/2 + 285*k - 81225/2 = 0.
285
What is r in -3*r**2 + 18*r + 165 = 0?
-5, 11
What is m in -95*m**4 + 1890*m**3 + 200*m**2 = 0?
-2/19, 0, 20
Factor 25*y**4 + 35*y**3 + 10*y**2.
5*y**2*(y + 1)*(5*y + 2)
Factor p**4 - 33*p**3 + 197*p**2 - 399*p + 234.
(p - 26)*(p - 3)**2*(p - 1)
Determine m so that -6*m**5/5 + 52*m**4/5 - 22*m**3 - 128*m**2/5 + 552*m/5 - 288/5 = 0.
-2, 2/3, 3, 4
Suppose 2*z**2/13 - 62*z/13 + 60/13 = 0. What is z?
1, 30
Suppose -5*y**4 + 20*y**3 + 65*y**2 - 200*y - 240 = 0. Calculate y.
-3, -1, 4
Factor 3*r**2/8 - 75*r/8.
3*r*(r - 25)/8
Solve 5*d**3/4 + 15*d**2/4 - 405*d/4 - 1215/4 = 0.
-9, -3, 9
Factor s**4 - 105*s**3 + 3306*s**2 - 15884*s - 493848.
(s - 38)**3*(s + 9)
Let -3*v**2/2 - 153*v - 300 = 0. What is v?
-100, -2
Find f, given that 2*f**4/7 - 2*f**3/7 - 6*f**2/7 + 10*f/7 - 4/7 = 0.
-2, 1
Find z, given that -2*z**3/5 + 12*z**2/5 - 16*z/5 = 0.
0, 2, 4
Solve -14*v**4/3 + 10126*v**3/3 - 609124*v**2 - 1313336*v/3 + 524176/3 = 0 for v.
-1, 2/7, 362
Let 3*c**2/7 - 1854*c/7 = 0. What is c?
0, 618
What is k in 4*k**4 + 51*k**3/5 + 18*k**2/5 - 8*k/5 = 0?
-2, -4/5, 0, 1/4
Factor 2*p**4/7 + 32*p**3/7 + 82*p**2/7 + 52*p/7.
2*p*(p + 1)*(p + 2)*(p + 13)/7
Suppose 4*f**2/5 - 44*f/5 - 48/5 = 0. Calculate f.
-1, 12
Factor -4*m