**2 - 80*a - 20.
5*(a - 2)*(a + 1)*(7*a + 2)
Factor 5*w**3 - 100*w**2 + 65*w + 5070.
5*(w - 13)**2*(w + 6)
Determine i, given that 14*i**3 + 1264*i**2 - 9146*i - 2716 = 0.
-97, -2/7, 7
Suppose 4*s**4 + 32*s**3 - 612*s**2 + 432*s + 7344 = 0. Calculate s.
-17, -3, 6
Solve -2*z**4 - 70*z**3 - 494*z**2 + 2166*z = 0 for z.
-19, 0, 3
Suppose 78*n**4/7 - 30*n**3 + 54*n**2/7 + 30*n - 132/7 = 0. Calculate n.
-1, 1, 22/13
Factor 3*x**5 - 306*x**4 + 1194*x**3 - 1776*x**2 + 1179*x - 294.
3*(x - 98)*(x - 1)**4
Factor 5*v**4 - 15*v**3 + 15*v**2 - 5*v.
5*v*(v - 1)**3
Suppose -i**4/3 + 46*i**3/3 - 41*i**2/3 - 184*i/3 + 60 = 0. Calculate i.
-2, 1, 2, 45
Factor 5*m**3 - 158*m**2 - 64*m.
m*(m - 32)*(5*m + 2)
Let -2*v**4 + 2*v**3 + 44*v**2 + 88*v + 48 = 0. Calculate v.
-2, -1, 6
Factor -4*n**4 - 208*n**3 - 3456*n**2 - 15552*n + 46656.
-4*(n - 2)*(n + 18)**3
Find q, given that -4*q**3/9 + 3880*q**2/9 - 944768*q/9 + 1874048/9 = 0.
2, 484
Factor 6*a**3/7 + 72*a**2/7 + 66*a/7.
6*a*(a + 1)*(a + 11)/7
What is y in 2*y**3/5 + 4*y**2 - 74*y/5 + 52/5 = 0?
-13, 1, 2
Factor -4*p**4 - 120*p**3 + 1168*p**2 - 1824*p.
-4*p*(p - 6)*(p - 2)*(p + 38)
Factor 9*d**3 - 132*d**2 + 300*d - 144.
3*(d - 12)*(d - 2)*(3*d - 2)
Factor 2*h**2/5 + 1396*h + 1218010.
2*(h + 1745)**2/5
What is n in 20*n**4/9 - 188*n**3/9 - 2648*n**2/9 + 1088*n/9 = 0?
-8, 0, 2/5, 17
Solve 2*w**4 - 374*w**3 + 372*w**2 = 0 for w.
0, 1, 186
Solve -4*d**2 - 236*d - 1456 = 0.
-52, -7
Factor 98*l**5/9 + 70*l**4/3 - 190*l**3/3 - 530*l**2/9 + 160*l - 72.
2*(l - 1)**3*(7*l + 18)**2/9
Factor 3*r**2/5 + 1302*r.
3*r*(r + 2170)/5
Factor 4*q**4 + 68*q**3 + 104*q**2 - 272*q - 480.
4*(q - 2)*(q + 2)**2*(q + 15)
Factor -2*u**4/3 - 122*u**3/3 - 1840*u**2/3 - 8200*u/3.
-2*u*(u + 10)**2*(u + 41)/3
Factor -20*w**3 - 265*w**2 + 535*w + 150.
-5*(w - 2)*(w + 15)*(4*w + 1)
Find v such that 2*v**4/5 + 12*v**3 + 378*v**2/5 + 584*v/5 + 264/5 = 0.
-22, -6, -1
Find s, given that 4*s**4 - 144*s**3 + 636*s**2 - 496*s = 0.
0, 1, 4, 31
Find u, given that u**3/4 + 3111*u**2/2 + 2418024*u - 4842272 = 0.
-3112, 2
Find p such that -p**4/2 - 3*p**3/2 + 2*p**2 = 0.
-4, 0, 1
Find s such that -50*s**5/3 - 2290*s**4/3 - 28208*s**3/3 - 45680*s**2/3 - 23584*s/3 - 3872/3 = 0.
-22, -1, -2/5
Suppose 3*t**3/2 - 3*t**2 - 21*t/2 - 6 = 0. What is t?
-1, 4
Solve 2*y**3/7 - 36*y**2/7 + 66*y/7 - 32/7 = 0 for y.
1, 16
Find q, given that 5*q**5 - 25*q**4 + 100*q**2 - 80*q = 0.
-2, 0, 1, 2, 4
Factor f**2/4 + 97*f/2 - 198.
(f - 4)*(f + 198)/4
What is w in -w**4 - 32*w**3 - 308*w**2 - 784*w = 0?
-14, -4, 0
Suppose 3*p**5 + 45*p**4 + 174*p**3 - 54*p**2 - 609*p + 441 = 0. What is p?
-7, -3, 1
Find n, given that -3*n**5/2 - 419*n**4/2 - 338*n**3 + 976*n**2 + 1376*n - 552 = 0.
-138, -2, 1/3, 2
Let -10*d**3/7 + 304*d**2/7 + 3880*d/7 - 1600/7 = 0. Calculate d.
-10, 2/5, 40
Factor 3*q**4 + 99*q**3.
3*q**3*(q + 33)
Determine a so that -3*a**5 + 21*a**4 + 24*a**3 = 0.
-1, 0, 8
Determine k so that -5*k**2 + 110*k - 105 = 0.
1, 21
Suppose -21*o**3 - 183*o**2 + 264*o - 60 = 0. What is o?
-10, 2/7, 1
Factor s**3/4 - 13*s**2 + 725*s/4 - 625/2.
(s - 25)**2*(s - 2)/4
Factor -4*u**3 - 32*u**2 - 28*u.
-4*u*(u + 1)*(u + 7)
Factor 2*h**2 + 18*h - 72.
2*(h - 3)*(h + 12)
Determine h, given that 4*h**5/5 - 4*h**4/5 - 16*h**3/5 + 16*h**2/5 = 0.
-2, 0, 1, 2
Solve 5*n**3 + 25*n**2 - 10*n - 120 = 0 for n.
-4, -3, 2
Factor -5*r**2 + 1285*r + 2590.
-5*(r - 259)*(r + 2)
Let 2*z**4/9 - 14*z**3/9 = 0. Calculate z.
0, 7
Factor 2*w**5 - 14*w**4 + 20*w**3 + 4*w**2 - 22*w + 10.
2*(w - 5)*(w - 1)**3*(w + 1)
Determine d, given that -2*d**4/9 - 2*d**3 - 58*d**2/9 - 26*d/3 - 4 = 0.
-3, -2, -1
Solve v**5/4 - 5*v**4 - 227*v**3 + 2520*v**2 + 63504*v = 0.
-18, 0, 28
Factor 20*g**3 - 548*g**2 - 5384*g + 2240.
4*(g - 35)*(g + 8)*(5*g - 2)
Solve 10*f**5 + 2495*f**4 - 1280*f**3 - 7505*f**2 - 1240*f + 2500 = 0.
-250, -1, 1/2, 2
Determine n, given that -27*n**4/2 + 327*n**3 + 531*n**2/2 - 75*n = 0.
-1, 0, 2/9, 25
Factor -x**2/5 + 766*x/5 + 767/5.
-(x - 767)*(x + 1)/5
Let -c**2 - 9*c - 14 = 0. What is c?
-7, -2
Factor 5*h**2/9 - 262*h/9 + 119/3.
(h - 51)*(5*h - 7)/9
Factor -16*o**3 - 404*o**2 - 100*o.
-4*o*(o + 25)*(4*o + 1)
Let -55*y**2 - 10*y = 0. Calculate y.
-2/11, 0
Factor u**4/4 + 157*u**3/2 + 625*u**2/4 + 78*u.
u*(u + 1)**2*(u + 312)/4
Factor -2*v**5/5 - 2*v**4 - 16*v**3/5 - 8*v**2/5.
-2*v**2*(v + 1)*(v + 2)**2/5
Factor -4*h**4/7 + 40*h**3/7 + 732*h**2/7 - 4160*h/7 - 43264/7.
-4*(h - 13)**2*(h + 8)**2/7
Factor -5*y**3/3 - 115*y**2.
-5*y**2*(y + 69)/3
Solve -2*d**2/17 + 20*d/17 + 1518/17 = 0 for d.
-23, 33
Factor 5*a**3 + 150*a**2 + 540*a + 520.
5*(a + 2)**2*(a + 26)
Let -9*g**3/7 + 4647*g**2/7 - 6184*g/7 + 2060/7 = 0. Calculate g.
2/3, 515
Determine l so that l**2/3 + 6*l - 216 = 0.
-36, 18
Suppose -8*r**2/3 + 4*r/3 - 1/6 = 0. What is r?
1/4
Solve -z**4 + 358*z**3 - 42840*z**2 + 1727642*z - 1685159 = 0.
1, 119
Find p such that 2*p**3 - 1872*p**2 - 7512*p - 7520 = 0.
-2, 940
Suppose -3*s**3/5 - 27*s**2/5 + 3*s/5 + 27/5 = 0. Calculate s.
-9, -1, 1
Factor -5*a**5 + 410*a**4 - 805*a**3 + 400*a**2.
-5*a**2*(a - 80)*(a - 1)**2
Determine w so that 2*w**3 - 322*w**2 + 12464*w + 40344 = 0.
-3, 82
Suppose n**2/4 + 5*n + 25 = 0. Calculate n.
-10
Factor -2*o**3/5 - 192*o**2/5 - 38*o.
-2*o*(o + 1)*(o + 95)/5
Let 4*r**2 + 4*r - 24 = 0. What is r?
-3, 2
Find b such that 6*b**3/11 + 72*b**2/11 + 210*b/11 = 0.
-7, -5, 0
Factor 2*h**2/5 - 2*h/5.
2*h*(h - 1)/5
Factor 4*q**3/5 + 64*q**2/5 - 68*q/5.
4*q*(q - 1)*(q + 17)/5
Let -50*u**5/19 - 360*u**4/19 - 338*u**3/19 + 156*u**2/19 + 136*u/19 - 48/19 = 0. What is u?
-6, -1, 2/5
Suppose -5*s**5/3 + 41*s**4/3 - s**3 - 41*s**2/3 + 8*s/3 = 0. Calculate s.
-1, 0, 1/5, 1, 8
Factor 2*t**3/15 + 46*t**2/15 + 70*t/3 + 294/5.
2*(t + 7)**2*(t + 9)/15
Factor 3*r**3 - 93*r**2 + 840*r - 1764.
3*(r - 14)**2*(r - 3)
Determine o, given that 4*o**4 - 20*o**3 + 20*o**2 + 20*o - 24 = 0.
-1, 1, 2, 3
Factor q**4 + 82*q**3 + 239*q**2 + 158*q.
q*(q + 1)*(q + 2)*(q + 79)
Let -2*q**4/7 + 3280*q**3/7 - 468*q**2 - 3280*q/7 + 3278/7 = 0. What is q?
-1, 1, 1639
Suppose -4*m**2 + 1064*m - 2112 = 0. What is m?
2, 264
Suppose 5*i**3 - 15*i**2 - 300*i - 500 = 0. What is i?
-5, -2, 10
Suppose 2*k**5 - 84*k**4 + 698*k**3 - 1872*k**2 + 416*k + 3072 = 0. Calculate k.
-1, 3, 4, 32
Factor -4*c**3 - 672*c**2 - 29520*c - 107584.
-4*(c + 4)*(c + 82)**2
Factor 56*j**3 + 316*j**2 + 404*j + 144.
4*(j + 1)*(j + 4)*(14*j + 9)
Factor 3*j**4 + 12*j**3 - 9*j**2 - 30*j + 24.
3*(j - 1)**2*(j + 2)*(j + 4)
Solve 5*f**3 - 540*f**2 + 1065*f - 530 = 0.
1, 106
Suppose 2*j**5/15 - 4*j**4/3 - 24*j**3/5 - 76*j**2/15 - 26*j/15 = 0. What is j?
-1, 0, 13
Factor 4*m**2 + 11456*m + 8202496.
4*(m + 1432)**2
Find j such that j**3 + 18*j**2 + 56*j = 0.
-14, -4, 0
Find b such that 3*b**3 - 21*b**2 + 33*b - 15 = 0.
1, 5
Determine q, given that 2*q**2/3 + 100*q + 3750 = 0.
-75
What is u in -u**3/2 + 4*u**2 - 21*u/2 + 9 = 0?
2, 3
Solve 158*k**2/5 + 1258*k/5 - 48/5 = 0.
-8, 3/79
Determine g so that -3*g**4 - 84*g**3 - 459*g**2 - 378*g = 0.
-21, -6, -1, 0
Suppose -5*x**4 - 46*x**3 - 144*x**2 - 162*x - 27 = 0. What is x?
-3, -1/5
Factor 5*n**3/2 - 190*n**2 - 2055*n/2 + 1215.
5*(n - 81)*(n - 1)*(n + 6)/2
Factor -2*n**2 - 766*n + 768.
-2*(n - 1)*(n + 384)
Factor 4*i**5/5 + 2644*i**4/5 + 435596*i**3/5 - 438244*i**2/5.
4*i**2*(i - 1)*(i + 331)**2/5
Factor i**2/5 - 4*i/5 + 3/5.
(i - 3)*(i - 1)/5
Factor -a**5/5 + 144*a**4/5 - 57*a**3 + 142*a**2/5.
-a**2*(a - 142)*(a - 1)**2/5
Factor -69*o**2 + 357*o - 60.
-3*(o - 5)*(23*o - 4)
Suppose -2*c**5 - 204*c**4 - 1324*c**3 + 680*c**2 + 10350*c - 9500 = 0. What is c?
-95, -5, 1, 2
Find t, given that 968*t**3/7 - 198*t**2/7 - 324*t/7 - 54/7 = 0.
-3/11, 3/4
Determine t, given that t**4/4 + 91*t**3/4 + 88*t**2 + 87*t = 0.
-87, -2, 0
Find v such that 3*v**2/2 - 387*v/2 + 3531 = 0.
22, 107
Factor 2*f**4 - 3*f**3 - 11*f**2 + 6*f.
f*(f - 3)*(f + 2)*(2*f - 1)
Factor -12*x**3/5 + 22*x**2/5 - 8*x/5 - 2/5.
-2*(x - 1)**2*(6*x + 1)/5
Factor 3*o**2 - 345*o + 1008.
3*(o - 112)*(o - 3)
Factor w**5/3 - 4*w**4/3 - 8*w**3/3 + 10*w**2/3 + 23*w/3 + 10/3.
(w - 5)*(w - 2)*(w + 1)**3/3
Factor x**2/3 - 67*x/3 + 850/3.
(x - 50)*(x - 17)/3
Suppose -4*y**3 + 136*y**2 - 692*y + 560 = 0. What is y?
1, 5, 28
Factor 3*v**4/5 + 28*v**3/5 + 81*v**2/5 + 84*v/