 1, 2
Find o such that 16*o**4 + 452*o**3 + 3648*o**2 + 6292*o + 1352 = 0.
-13, -2, -1/4
Solve 3*p**5 - 156*p**4 - 1185*p**3 - 3126*p**2 - 3516*p - 1416 = 0.
-2, -1, 59
Determine a, given that 2*a**2 - 170*a = 0.
0, 85
Factor 2*c**5 - 6*c**4 + 6*c**3 - 2*c**2.
2*c**2*(c - 1)**3
Factor 400*a**3 + 610*a**2 - 385*a - 10.
5*(a + 2)*(2*a - 1)*(40*a + 1)
Determine b so that b**5/5 + 223*b**4/5 + 663*b**3/5 + 661*b**2/5 + 44*b = 0.
-220, -1, 0
Let 5*h**3 - 23*h**2 + 12*h = 0. What is h?
0, 3/5, 4
Factor -y**4 + 14*y**3 - 11*y**2 - 26*y.
-y*(y - 13)*(y - 2)*(y + 1)
Factor -3*p**2 - 7920*p - 5227200.
-3*(p + 1320)**2
Factor -3*l**3/8 - 1695*l**2/8.
-3*l**2*(l + 565)/8
Solve 3*j**5/5 + 4056*j**4/5 + 1374978*j**3/5 + 547560*j**2 + 273375*j = 0 for j.
-675, -1, 0
What is x in -3*x**2 + 108*x - 972 = 0?
18
Factor -3*t**3/2 + 252*t**2 - 501*t/2.
-3*t*(t - 167)*(t - 1)/2
Let -14*h**2/3 - 1838*h/3 - 524/3 = 0. What is h?
-131, -2/7
Factor -3*f**3 + 39*f + 36.
-3*(f - 4)*(f + 1)*(f + 3)
Suppose -60*g**4 - 64*g**3 + 124*g**2 + 16*g - 16 = 0. What is g?
-2, -2/5, 1/3, 1
Determine g, given that 2*g**3 - 5*g**2 - 4*g + 3 = 0.
-1, 1/2, 3
Find d, given that 16*d**5/7 - 168*d**4 + 21313*d**3/7 + 1554*d**2 + 1369*d/7 = 0.
-1/4, 0, 37
Let -5*f**2 + 5150*f + 5155 = 0. Calculate f.
-1, 1031
Suppose -2*s**4/3 + 496*s**3 - 92256*s**2 = 0. Calculate s.
0, 372
Factor 2*h**2/9 - 2608*h/9 + 850208/9.
2*(h - 652)**2/9
Factor -5*c**3 + 275*c**2 + 280*c.
-5*c*(c - 56)*(c + 1)
Solve l**5/3 + 7*l**4/3 - 28*l**3/3 + 20*l**2/3 = 0 for l.
-10, 0, 1, 2
Factor 2*o**3/3 - 70*o**2/3 + 484*o/3 - 416/3.
2*(o - 26)*(o - 8)*(o - 1)/3
What is k in 28*k**4 - 328*k**3 + 912*k**2 - 608*k - 256 = 0?
-2/7, 2, 8
Solve -2*f**4/11 + 2*f**3/11 + 30*f**2/11 - 18*f/11 - 108/11 = 0 for f.
-3, -2, 3
Factor -a**2 + 220*a - 12100.
-(a - 110)**2
Factor 2*r**3/9 - 202*r**2/9 + 736*r/3 - 712.
2*(r - 89)*(r - 6)**2/9
Determine h, given that 3*h**4/4 - 327*h**3/2 + 486*h**2 - 969*h/2 + 645/4 = 0.
1, 215
Factor b**4/8 + 9*b**3/8 - b**2/8 - 9*b/8.
b*(b - 1)*(b + 1)*(b + 9)/8
Factor -867*q**3/8 - 765*q**2/8 + 99*q/8 - 3/8.
-3*(q + 1)*(17*q - 1)**2/8
Let -3*g**5/5 - 18*g**4 + 39*g**3 + 18*g**2 - 192*g/5 = 0. What is g?
-32, -1, 0, 1, 2
Factor 2*v**3 + 18*v**2 + 16*v.
2*v*(v + 1)*(v + 8)
Suppose -2*u**5 + 98*u**4 + 204*u**3 + 4*u**2 - 202*u - 102 = 0. What is u?
-1, 1, 51
Factor -j**5 + 2*j**4 + 12*j**3 - 40*j**2 + 32*j.
-j*(j - 2)**3*(j + 4)
Suppose 3*g**4/4 - 3*g**3 - 9*g**2/4 + 15*g/2 + 6 = 0. Calculate g.
-1, 2, 4
Factor 2*o**4 - 92*o**3 - 1216*o**2 - 2148*o - 1026.
2*(o - 57)*(o + 1)**2*(o + 9)
Solve -2*m**2 - 624*m - 48672 = 0 for m.
-156
Determine h so that -3*h**3/2 + 15*h**2/2 + 12*h - 18 = 0.
-2, 1, 6
Find r, given that 2*r**4/3 + 16*r**3/3 + 8*r**2 - 64*r/3 - 128/3 = 0.
-4, -2, 2
Let -6*w**2/7 - 78*w/7 + 684/7 = 0. Calculate w.
-19, 6
Factor -10*c**5 + 16*c**4 + 8*c**3.
-2*c**3*(c - 2)*(5*c + 2)
Factor -s**2/11 - 3*s/11 + 70/11.
-(s - 7)*(s + 10)/11
Factor -4*t**4 + 16*t**3.
-4*t**3*(t - 4)
Factor 4*o**3/7 - 60*o**2/7 - 136*o/7.
4*o*(o - 17)*(o + 2)/7
Solve 6*z**4 - 129*z**3 - 90*z**2 + 516*z + 264 = 0.
-2, -1/2, 2, 22
Factor h**3/2 + 15*h**2/2 + 27*h/2 + 13/2.
(h + 1)**2*(h + 13)/2
Factor d**2/2 + 99*d.
d*(d + 198)/2
Factor 3*n**2 - 54*n - 120.
3*(n - 20)*(n + 2)
Let 3*d**2 - 4146*d + 1432443 = 0. What is d?
691
Factor 2*x**2/3 - 524*x/3 + 34322/3.
2*(x - 131)**2/3
Factor 708*w**3 + 12748*w**2 + 57420*w + 324.
4*(w + 9)**2*(177*w + 1)
Determine n, given that -5*n**2 + 30*n + 80 = 0.
-2, 8
Factor 16*u**4 - 220*u**3 - 56*u**2.
4*u**2*(u - 14)*(4*u + 1)
Let 4*g**2 - 4 = 0. What is g?
-1, 1
Determine t, given that -4*t**2 - 16*t + 20 = 0.
-5, 1
Factor -4*b**4 + 252*b**3 - 4320*b**2 + 10800*b.
-4*b*(b - 30)**2*(b - 3)
Factor 2*c**4/7 - 16*c**3/7 + 24*c**2/7.
2*c**2*(c - 6)*(c - 2)/7
Solve -5*m**4 - 155*m**3 + 160*m**2 = 0.
-32, 0, 1
Let -4*m**4 - 72*m**3 - 240*m**2 + 800*m = 0. What is m?
-10, 0, 2
Factor 3*f**2 + 1956*f + 318828.
3*(f + 326)**2
Determine k so that -k**3 - 222*k**2/7 - 356*k/7 + 120/7 = 0.
-30, -2, 2/7
Determine h so that -40*h**4/3 + 68*h**3 - 124*h**2 + 292*h/3 - 28 = 0.
1, 21/10
Suppose 6*a**5 + 218*a**4 + 626*a**3 - 1218*a**2 - 3096*a + 2376 = 0. What is a?
-33, -3, 2/3, 2
Find w, given that -3*w**5 - 42*w**4 - 99*w**3 + 12*w**2 + 132*w = 0.
-11, -2, 0, 1
Factor -45*h**5 - 255*h**4 - 575*h**3 - 645*h**2 - 360*h - 80.
-5*(h + 1)**3*(3*h + 4)**2
Determine z so that -272*z**5/5 + 538*z**4/5 + 828*z**3/5 - 214*z**2 - 1112*z/5 - 24/5 = 0.
-1, -3/136, 2
What is s in 2*s**3/3 - 1216*s**2/9 + 808*s/9 = 0?
0, 2/3, 202
Factor -3*d**2/4 + 243*d/2 - 19683/4.
-3*(d - 81)**2/4
Let -2*n**4/11 - 552*n**3/11 - 37530*n**2/11 + 77284*n/11 = 0. What is n?
-139, 0, 2
Find h, given that h**5/6 + 3*h**4/2 - 27*h**3/2 + 45*h**2/2 = 0.
-15, 0, 3
Factor u**3/5 - 43*u**2/5 - 18*u.
u*(u - 45)*(u + 2)/5
Suppose -4*z**5 + 20*z**4 + 36*z**3 - 52*z**2 - 112*z - 48 = 0. Calculate z.
-1, 2, 6
Factor -5*d**2 - 35*d - 30.
-5*(d + 1)*(d + 6)
Factor 2*o**3 - 318*o**2 - 324*o + 640.
2*(o - 160)*(o - 1)*(o + 2)
Factor -4*m**2 - 496*m.
-4*m*(m + 124)
What is d in -5*d**5 + 45*d**4 - 155*d**3 + 255*d**2 - 200*d + 60 = 0?
1, 2, 3
Factor -5*k**4 - 70*k**3 - 345*k**2 - 700*k - 500.
-5*(k + 2)**2*(k + 5)**2
Factor 3*u**2/7 + 30*u/7 - 72/7.
3*(u - 2)*(u + 12)/7
Let -50*l**5 - 620*l**4 - 1692*l**3 - 1504*l**2 - 418*l - 36 = 0. Calculate l.
-9, -2, -1, -1/5
Find r, given that -2*r**2/5 + 464*r/5 - 26912/5 = 0.
116
Factor h**5 - 21*h**4 + 147*h**3 - 343*h**2.
h**2*(h - 7)**3
Determine v, given that v**3 + 48*v**2 - 100*v = 0.
-50, 0, 2
Factor -c**3/2 + 13*c**2/2 - 6*c.
-c*(c - 12)*(c - 1)/2
Factor 3*g**2/2 + 15*g/2 - 21.
3*(g - 2)*(g + 7)/2
Factor 4*j**2 + 68*j + 120.
4*(j + 2)*(j + 15)
Factor -5*c**5 + 10*c**3 - 5*c.
-5*c*(c - 1)**2*(c + 1)**2
Let -20*z**4 + 15*z**2 - 5*z = 0. What is z?
-1, 0, 1/2
Determine w so that 3*w**4 - 78*w**3 + 387*w**2 - 552*w + 240 = 0.
1, 4, 20
Factor 4*i**2 - 72*i - 76.
4*(i - 19)*(i + 1)
What is x in 5*x**4/4 - 2465*x**3/4 - 7425*x**2/4 - 7435*x/4 - 620 = 0?
-1, 496
Factor 2*t**2/7 - 150*t/7 + 148/7.
2*(t - 74)*(t - 1)/7
Solve t**5 - 2*t**4 - 6*t**3 + 4*t**2 + 13*t + 6 = 0 for t.
-1, 2, 3
Factor 4*r**3 + 86*r**2 + 296*r - 170.
2*(r + 5)*(r + 17)*(2*r - 1)
What is h in -2*h**5 + 6*h**4 + 42*h**3 - 22*h**2 - 96*h + 72 = 0?
-3, -2, 1, 6
Factor -g**5 + 17*g**4 - 72*g**3 - 76*g**2 + 704*g - 768.
-(g - 8)**2*(g - 2)**2*(g + 3)
Let p**2/8 + 61*p/8 + 59/4 = 0. Calculate p.
-59, -2
Factor -5*z**4 - 185*z**3 + 800*z**2 - 820*z.
-5*z*(z - 2)**2*(z + 41)
Solve -j**5/2 + 27*j**4/2 + 749*j**3/2 + 2925*j**2/2 - 4100*j + 2250 = 0.
-10, 1, 45
Let 4*z**4/3 - 32*z**3/3 - 292*z**2/3 - 592*z/3 - 112 = 0. Calculate z.
-3, -2, -1, 14
Suppose 3*q**4/4 - 3*q**3 + 9*q**2/4 = 0. Calculate q.
0, 1, 3
Solve r**5/4 + 31*r**4/4 + 163*r**3/4 + 337*r**2/4 + 76*r + 25 = 0.
-25, -2, -1
Determine h, given that 2*h**3 + 2204*h**2 + 607202*h = 0.
-551, 0
Solve -2*l**3/13 - 10*l**2/13 + 114*l/13 - 198/13 = 0.
-11, 3
Let 2*u**4/9 - 376*u**3/9 + 124*u**2/3 + 376*u/9 - 374/9 = 0. What is u?
-1, 1, 187
Determine p, given that -2*p**5/5 + 8*p**4 - 36*p**3/5 - 8*p**2 + 38*p/5 = 0.
-1, 0, 1, 19
Factor -5454*m**2/7 + 5458*m/7 - 4/7.
-2*(m - 1)*(2727*m - 2)/7
Factor -16*h**5/3 + 532*h**4/3 - 1980*h**3 + 22748*h**2/3 - 5324*h/3.
-4*h*(h - 11)**3*(4*h - 1)/3
Factor z**2/3 - 39*z + 1352/3.
(z - 104)*(z - 13)/3
Factor -10*w**2 + 45*w + 175.
-5*(w - 7)*(2*w + 5)
Factor -a**3/2 - 211*a**2 + 423*a/2.
-a*(a - 1)*(a + 423)/2
Factor 20*w**3 - 36*w**2 + 16*w.
4*w*(w - 1)*(5*w - 4)
Find i, given that i**4/6 - 5*i**3/2 + 2*i**2 + 14*i/3 = 0.
-1, 0, 2, 14
Factor l**4/3 - 2*l**2 - 8*l/3 - 1.
(l - 3)*(l + 1)**3/3
Factor -4*f**2 - 568*f - 564.
-4*(f + 1)*(f + 141)
Factor 4*s**3 + 24*s**2 - 36*s - 56.
4*(s - 2)*(s + 1)*(s + 7)
Factor -2*k**3/9 + 38*k**2/9 - 172*k/9 + 208/9.
-2*(k - 13)*(k - 4)*(k - 2)/9
Suppose -4*h**4 - 304*h**3 - 588*h**2 + 304*h + 592 = 0. What is h?
-74, -2, -1, 1
Find d such that 25*d**5 - 135*d**4 + 275*d**3 - 265*d**2 + 120*d - 20 = 0.
2/5, 1, 2
Factor -2*b**3/9 - 4*b**2/3 - 8*b/3 - 16/9.
-2*(b + 2)**3/9
Factor -2*y**2 - 58*y - 200.
-2*(y + 4)*(y + 25)
Let -6*c**5/11 + 188*c**4/11 + 130*c**3/11 - 64*c**2/11 = 0. What is c?
-1, 0, 1/3, 32
Factor