lve -5*t**5 - 60*t**4 + 770*t**3 - 800*t**2 - 4125*t - 2500 = 0.
-20, -1, 5
Determine v so that 164*v**5 + 156*v**4 - 1484*v**3 - 1404*v**2 + 72*v = 0.
-3, -1, 0, 2/41, 3
Find t such that 3*t**3 - 129*t**2 + 1317*t + 1449 = 0.
-1, 21, 23
Factor -2*b**2/5 - 1122*b/5.
-2*b*(b + 561)/5
Determine f so that -2*f**3/3 - 134*f**2/15 + 248*f/15 + 8 = 0.
-15, -2/5, 2
Determine z, given that -2*z**4 - 14*z**3 + 60*z**2 + 504*z + 432 = 0.
-6, -1, 6
Factor -5*f**2 - 200*f - 2000.
-5*(f + 20)**2
What is n in 3*n**4/5 + 21*n**3/5 + 54*n**2/5 + 12*n + 24/5 = 0?
-2, -1
Solve 2*v**4/11 + 16*v**3/11 + 4*v**2 + 48*v/11 + 18/11 = 0 for v.
-3, -1
Find c, given that -2*c**5/13 + 162*c**4/13 - 1214*c**3/13 + 3414*c**2/13 - 4112*c/13 + 1752/13 = 0.
1, 2, 3, 73
Factor -2*d**2/13 + 612*d/13.
-2*d*(d - 306)/13
Solve 2*g**3/17 + 100*g**2/17 - 1514*g/17 - 1612/17 = 0 for g.
-62, -1, 13
Factor 3*c**3/4 - 503*c**2/4 + 5250*c + 1764.
(c - 84)**2*(3*c + 1)/4
Factor -u**2/2 + 47*u - 2209/2.
-(u - 47)**2/2
Factor a**4/4 - 5*a**3 - 3*a**2/4 + 31*a/2 - 10.
(a - 20)*(a - 1)**2*(a + 2)/4
Factor 5*w**3 - 80*w**2 + 240*w.
5*w*(w - 12)*(w - 4)
Factor r**4 + 57*r**3 + 56*r**2.
r**2*(r + 1)*(r + 56)
Factor -n**2/2 + 4287*n/2.
-n*(n - 4287)/2
Factor u**4/4 - 5*u**3/4 - 17*u**2/4 + 21*u/4.
u*(u - 7)*(u - 1)*(u + 3)/4
Let -5*d**5 + 45*d**4 + 405*d**3 + 675*d**2 = 0. Calculate d.
-3, 0, 15
Factor -2*x**3 + 6*x**2 + 858*x + 6050.
-2*(x - 25)*(x + 11)**2
Factor 6*g**3 - 98*g**2 + 352*g.
2*g*(g - 11)*(3*g - 16)
Solve -2*q**2/7 + 30*q/7 - 52/7 = 0 for q.
2, 13
Let -14*q**5/9 + 164*q**4/9 - 218*q**3/9 - 244*q**2/9 + 232*q/9 + 80/9 = 0. Calculate q.
-1, -2/7, 1, 2, 10
Find q, given that -q**4 - 15*q**3 + 16*q**2 = 0.
-16, 0, 1
Factor 3*a**4 + 48*a**3 - 51*a**2.
3*a**2*(a - 1)*(a + 17)
Factor k**3/4 - 5*k**2/4 + k.
k*(k - 4)*(k - 1)/4
Factor -2*f**2/17 + 42*f/17 - 208/17.
-2*(f - 13)*(f - 8)/17
Find h such that 3*h**3/5 - 42*h**2 - 5709*h/5 - 33396/5 = 0.
-11, 92
Factor l**5/4 - 7*l**4/2 + 73*l**3/4 - 43*l**2 + 44*l - 16.
(l - 4)**3*(l - 1)**2/4
Factor 5*k**4 - 45*k**2.
5*k**2*(k - 3)*(k + 3)
Suppose 2*v**2 + 7312*v + 6683168 = 0. Calculate v.
-1828
Factor -w**4/5 - 16*w**3/5 + 57*w**2/5 - 4*w/5 - 76/5.
-(w - 2)**2*(w + 1)*(w + 19)/5
Suppose -14*y**4/9 - 16*y**3/3 - 2*y**2 = 0. What is y?
-3, -3/7, 0
Factor -5*b**5 + 55*b**4 + 280*b**3 + 300*b**2.
-5*b**2*(b - 15)*(b + 2)**2
Suppose 2*q**2 + 15324*q + 29353122 = 0. Calculate q.
-3831
What is k in -5*k**5/3 + 51*k**4 - 1453*k**3/3 + 4139*k**2/3 - 494*k - 1352/3 = 0?
-2/5, 1, 4, 13
Solve -g**4/3 - 97*g**3/3 - 156*g**2 - 740*g/3 - 368/3 = 0.
-92, -2, -1
Factor 2*w**2/7 - 1074*w/7.
2*w*(w - 537)/7
Solve 5*m**4 - 25*m**3 - 85*m**2 + 105*m = 0.
-3, 0, 1, 7
Suppose -4*x**5 + 76*x**4 - 332*x**3 + 260*x**2 = 0. Calculate x.
0, 1, 5, 13
Suppose -5*n**5 + 170*n**4 - 470*n**3 + 140*n**2 + 475*n - 310 = 0. Calculate n.
-1, 1, 2, 31
Let o**2 + 84*o + 164 = 0. What is o?
-82, -2
Determine l so that l**2/2 + l/2 - 1 = 0.
-2, 1
Find x, given that 184815*x**4 + 109890*x**3 - 70245*x**2 + 4600*x - 80 = 0.
-1, 4/111, 1/3
Factor 2*d**3 - 214*d**2 - 434*d - 218.
2*(d - 109)*(d + 1)**2
Factor -l**2/4 - 671*l/2 - 450241/4.
-(l + 671)**2/4
Factor -2*l**3/11 - 36*l**2/11 - 94*l/11 - 60/11.
-2*(l + 1)*(l + 2)*(l + 15)/11
Factor -y**3/7 + 12*y**2/7 + 4*y/7 - 48/7.
-(y - 12)*(y - 2)*(y + 2)/7
Find r, given that -5*r**5 - 30*r**4 + 75*r**3 - 40*r**2 = 0.
-8, 0, 1
Factor b**2/8 - 13*b/8 + 9/2.
(b - 9)*(b - 4)/8
Solve 108*f**2/7 - 111*f/7 + 3/7 = 0.
1/36, 1
Factor -y**2/3 + 38*y/3 - 361/3.
-(y - 19)**2/3
Factor f**2 + 1409*f - 2822.
(f - 2)*(f + 1411)
Let 4*r**2 + 440*r + 12100 = 0. Calculate r.
-55
Factor -g**2 + 403*g + 404.
-(g - 404)*(g + 1)
Factor 2*b**2/13 + 6*b/13 - 8/13.
2*(b - 1)*(b + 4)/13
Determine j, given that -2*j**5/11 + 2*j**4 - 52*j**3/11 - 8*j**2 + 240*j/11 = 0.
-2, 0, 2, 5, 6
Factor 52*p**2/5 + 12*p - 112/5.
4*(p - 1)*(13*p + 28)/5
Factor z**3/5 - 119*z**2/5 - 4*z/5 + 476/5.
(z - 119)*(z - 2)*(z + 2)/5
Factor u**4/2 - 217*u**3/2 + 534*u**2 - 850*u + 424.
(u - 212)*(u - 2)**2*(u - 1)/2
Find s such that -3*s**3 - 72*s**2 - 540*s - 1200 = 0.
-10, -4
Factor 4*r**5 - 312*r**4 - 2016*r**3 - 216*r**2 + 17820*r + 27216.
4*(r - 84)*(r - 3)*(r + 3)**3
Factor h**2 - 12*h + 11.
(h - 11)*(h - 1)
Find v such that -2*v**4 + 58*v**3 - 180*v**2 - 6016*v + 35840 = 0.
-10, 7, 16
Suppose -4*x**2 - 104*x - 676 = 0. What is x?
-13
Factor 3*q**2/2 + 165*q/2 - 84.
3*(q - 1)*(q + 56)/2
Factor -n**2/4 - 147*n - 21609.
-(n + 294)**2/4
Factor 5*a**5 + 25*a**4 + 10*a**3 - 100*a**2 - 120*a.
5*a*(a - 2)*(a + 2)**2*(a + 3)
Determine l, given that -2*l**3/9 + 122*l**2/9 + 250*l/9 + 14 = 0.
-1, 63
Factor -j**4/3 + 19*j**3/3 + 21*j**2 + 65*j/3 + 22/3.
-(j - 22)*(j + 1)**3/3
Factor 2*p**2/7 - 176*p/7 - 178/7.
2*(p - 89)*(p + 1)/7
Factor 5*r**2 - 850*r + 36125.
5*(r - 85)**2
Factor -179*c**3/2 + 178*c**2 - 175*c/2 - 1.
-(c - 1)**2*(179*c + 2)/2
Solve 5*z**4 - 35*z**3 - 50*z**2 + 80*z = 0.
-2, 0, 1, 8
Suppose o**2/6 + 227*o/3 + 51529/6 = 0. Calculate o.
-227
Factor b**3 - 44*b**2/3 - 21*b - 16/3.
(b - 16)*(b + 1)*(3*b + 1)/3
Factor w**2/4 - 6719*w/2 + 45144961/4.
(w - 6719)**2/4
Determine n so that -2*n**5 + 12*n**4 - 18*n**3 + 8*n**2 = 0.
0, 1, 4
What is x in 6*x**5 - 12*x**4 - 141*x**3/2 - 177*x**2/2 - 87*x/2 - 15/2 = 0?
-1, -1/2, 5
What is h in -h**2/3 + 1183*h/9 + 790/9 = 0?
-2/3, 395
Factor -2*k**2/9 - 74*k/9 - 224/3.
-2*(k + 16)*(k + 21)/9
Factor -4*k**2 - 32*k + 420.
-4*(k - 7)*(k + 15)
Factor 504990784*w**4 - 19056256*w**3 + 269664*w**2 - 1696*w + 4.
4*(106*w - 1)**4
Factor 3*t**2 - 282*t - 285.
3*(t - 95)*(t + 1)
Suppose -5*n**4/2 + 555*n**3/2 - 1605*n**2 + 3170*n - 2100 = 0. What is n?
2, 105
Suppose -w**5/4 - w**4/2 + 7*w**3/4 - w**2 = 0. Calculate w.
-4, 0, 1
Factor -2*a**2/3 - 5968*a/3 + 11944/3.
-2*(a - 2)*(a + 2986)/3
Let -m**5/3 + m**4 + 10*m**3/3 - 8*m**2 = 0. What is m?
-3, 0, 2, 4
Let 3*c**3/5 - 6*c**2/5 - 3*c + 18/5 = 0. Calculate c.
-2, 1, 3
Solve -8*j**5 - 148*j**4 - 436*j**3 + 928*j**2 - 336*j = 0.
-14, -6, 0, 1/2, 1
Factor 6*v**4/7 + 24*v**3/7 + 30*v**2/7 + 12*v/7.
6*v*(v + 1)**2*(v + 2)/7
Solve -5*h**2 + 140*h + 145 = 0.
-1, 29
Factor k**5/3 - 19*k**4/3 - 21*k**3 - 65*k**2/3 - 22*k/3.
k*(k - 22)*(k + 1)**3/3
Determine k so that -15*k**4 + 16195*k**3 + 37845*k**2 + 27045*k + 5410 = 0.
-1, -1/3, 1082
Factor 3*j**3 - 36*j**2 + 60*j.
3*j*(j - 10)*(j - 2)
Let -3*x**2 + 102*x - 360 = 0. What is x?
4, 30
Solve -2*n**4 - 1256*n**3 - 197192*n**2 = 0.
-314, 0
Determine h, given that 2*h**3/11 - 84*h**2/11 + 312*h/11 - 304/11 = 0.
2, 38
Factor 12*w**3 - 2264*w**2 + 1500*w + 752.
4*(w - 188)*(w - 1)*(3*w + 1)
Factor -2*j**2 + 22*j + 1044.
-2*(j - 29)*(j + 18)
Factor x**4/4 - 45*x**3 + 6075*x**2/2 - 91125*x + 4100625/4.
(x - 45)**4/4
Let 37*g**2/4 - 19*g + 1 = 0. What is g?
2/37, 2
Factor -20*b**3 - 1795*b**2 + 14030*b - 3395.
-5*(b - 7)*(b + 97)*(4*b - 1)
Factor 3*s**3 + 4284*s**2 + 1529388*s.
3*s*(s + 714)**2
Factor 5*o**2 - 230*o + 1025.
5*(o - 41)*(o - 5)
Determine m, given that 3*m**3 - 228*m**2 + 219*m + 450 = 0.
-1, 2, 75
Factor 2*h**2/7 + 718*h/7 - 720/7.
2*(h - 1)*(h + 360)/7
Let 2*f**3/3 + 128*f**2 + 6014*f - 37636/3 = 0. Calculate f.
-97, 2
Suppose 20*u**4 + 5*u**3 - 60*u**2 - 55*u - 10 = 0. What is u?
-1, -1/4, 2
What is z in 13230*z**4/11 - 47054*z**3/11 + 23060*z**2/11 - 2888*z/11 - 48/11 = 0?
-2/135, 2/7, 3
Factor -y**2 - 570*y - 1136.
-(y + 2)*(y + 568)
What is j in 16*j**3/7 + 7228*j**2/7 - 1808*j/7 = 0?
-452, 0, 1/4
Determine a, given that -5*a**2 + 1040*a - 1035 = 0.
1, 207
Factor 2*a**3 + 108*a**2 - 456*a + 464.
2*(a - 2)**2*(a + 58)
Factor o**3/4 - 35*o**2/4 + 58*o - 108.
(o - 27)*(o - 4)**2/4
Solve -2*i**4 + 6*i**2 + 4*i = 0.
-1, 0, 2
Factor 16*f**5/5 - 24*f**4 - 63*f**3/5 - 8*f**2/5.
f**2*(f - 8)*(4*f + 1)**2/5
Let -4*f**5 + 1220*f**4 - 93628*f**3 + 91196*f**2 + 93632*f - 92416 = 0. What is f?
-1, 1, 152
Solve -4*t**5 + 40*t**4 + 16*t**3 - 544*t**2 - 768*t = 0.
-2, 0, 6, 8
Factor -5*j**2 - 9570*j.
-5*j*(j + 1914)
What is p in -4*p**5 + 24*p**4 - 52*p**3 + 48*p**2 - 16*p = 0?
0, 1, 2
Factor -2*h**3/13 - 20*h**2/13 - 22*h/13 + 140/13.
-2*(h - 2)*(h + 5)*(h + 7)/13
Factor 3*g**4/5 + 219*g**3 + 2181*g**2/5 + 1089*g/5.
3*g*(g + 1)**2*(g + 363)/5
Factor -8*h**2/5 