*(9*a - 2)**2/3
Factor -54*o**2/7 - 158*o/7 + 12/7.
-2*(o + 3)*(27*o - 2)/7
Factor 4*z**5 - 28*z**4 - 4*z**3 + 28*z**2.
4*z**2*(z - 7)*(z - 1)*(z + 1)
Factor -4*o**2/5 + 5896*o/5 - 2172676/5.
-4*(o - 737)**2/5
Let 3*y**3 - 9*y**2 - 39*y + 45 = 0. What is y?
-3, 1, 5
Factor 2*o**3 + 1478*o**2 - 2*o - 1478.
2*(o - 1)*(o + 1)*(o + 739)
Let 4*q**4/9 - 1132*q**3/9 - 760*q**2/3 = 0. Calculate q.
-2, 0, 285
Suppose -2*n**3/5 + 42*n**2/5 + 248*n/5 + 312/5 = 0. What is n?
-3, -2, 26
Factor 2*k**3 - 258*k**2 + 11094*k - 159014.
2*(k - 43)**3
Find c such that -2*c**4 - 100*c**3 - 1706*c**2 - 11400*c - 25992 = 0.
-19, -6
Find q, given that -4*q**5/5 - 7*q**4/5 + 14*q**3/5 + 29*q**2/5 + 8*q/5 - 4/5 = 0.
-2, -1, 1/4, 2
Solve -5*x**3/7 + 12*x**2/7 - 9*x/7 + 2/7 = 0 for x.
2/5, 1
Factor 75*n**4/7 + 960*n**3/7 + 3432*n**2/7 + 2304*n/7 + 432/7.
3*(n + 6)**2*(5*n + 2)**2/7
Solve -2*s**4 - 1566*s**3 - 305760*s**2 + 307328*s = 0.
-392, 0, 1
Factor w**4 - 3*w**3 - 2*w**2 + 12*w - 8.
(w - 2)**2*(w - 1)*(w + 2)
Determine z, given that -3*z**2 + 27*z - 60 = 0.
4, 5
Determine r so that 5*r**2/2 + 8175*r/2 = 0.
-1635, 0
Factor 10*s**2/9 + 128*s/3 + 152/9.
2*(s + 38)*(5*s + 2)/9
Factor 3*o**3 - 18*o**2 - 75*o - 54.
3*(o - 9)*(o + 1)*(o + 2)
Let 12*f**4 - 880*f**3 + 17512*f**2 - 49840*f + 14700 = 0. Calculate f.
1/3, 3, 35
Suppose -q**5 - 11*q**4 + 15*q**3 + 35*q**2 - 14*q - 24 = 0. What is q?
-12, -1, 1, 2
Factor -3*v**3 + 168*v**2 - 1188*v + 1728.
-3*(v - 48)*(v - 6)*(v - 2)
Suppose -3*s**5/5 - 33*s**4/5 - 126*s**3/5 - 42*s**2 - 159*s/5 - 9 = 0. Calculate s.
-5, -3, -1
Factor 3*n**2/7 + 1581*n.
3*n*(n + 3689)/7
Factor 4*o**3/3 - 180*o**2 + 528*o.
4*o*(o - 132)*(o - 3)/3
Solve z**3/3 - 14*z**2/3 + 35*z/3 - 22/3 = 0.
1, 2, 11
Let 3*w**4/4 + 3*w**3/4 - 171*w**2/4 - 3*w/4 + 42 = 0. Calculate w.
-8, -1, 1, 7
Factor 3*f**4 - 6*f**3 - 369*f**2 - 1740*f - 2100.
3*(f - 14)*(f + 2)*(f + 5)**2
Find q, given that -5*q**3/3 - 2265*q**2 - 1026045*q - 154932795 = 0.
-453
Solve -2*n**3/7 - 46*n**2/7 - 268*n/7 - 32 = 0 for n.
-14, -8, -1
Factor 3*f**3 - 13*f**2 + 55*f/3 - 25/3.
(f - 1)*(3*f - 5)**2/3
Find w, given that -3*w**4/5 - 132*w**3/5 - 1314*w**2/5 + 3036*w/5 - 1587/5 = 0.
-23, 1
Solve -h**5/6 + h**4/2 - h**3/6 - h**2/2 + h/3 = 0 for h.
-1, 0, 1, 2
Factor -6*v**3 - 237*v**2 - 99*v + 702.
-3*(v + 2)*(v + 39)*(2*v - 3)
Determine b, given that b**4/2 + 47*b**3/2 - 51*b**2 - 9920*b - 19456 = 0.
-32, -2, 19
Factor -5*w**2/6 - 10*w/3 - 5/2.
-5*(w + 1)*(w + 3)/6
Factor -3*c**2/8 + 1779*c/8 - 1773/4.
-3*(c - 591)*(c - 2)/8
Factor 2*g**4 + 18*g**3 - 2*g**2 - 18*g.
2*g*(g - 1)*(g + 1)*(g + 9)
Let j**2 - 122*j + 3721 = 0. What is j?
61
Solve h**2/5 + 31*h/5 - 32/5 = 0.
-32, 1
Factor -2*f**4/3 + 2*f**3/3 + 8*f**2.
-2*f**2*(f - 4)*(f + 3)/3
Factor -25*m**2 + 10*m.
-5*m*(5*m - 2)
Factor 4*d**3 - 68*d**2 + 56*d + 128.
4*(d - 16)*(d - 2)*(d + 1)
Suppose 3*i**5/2 - 119*i**4 + 271*i**3 - 114*i**2 - 233*i/2 + 77 = 0. Calculate i.
-2/3, 1, 77
Factor r**2/4 + 885*r/4.
r*(r + 885)/4
Factor 2*q**5/5 + 8*q**4 - 42*q**3/5.
2*q**3*(q - 1)*(q + 21)/5
Factor 2*b**2 + 192*b + 4608.
2*(b + 48)**2
What is t in 20*t**5 + 176*t**4 - 836*t**3 - 560*t**2 + 3024*t - 576 = 0?
-12, -2, 1/5, 2, 3
Factor 33*j**3/2 - 162*j**2 + 366*j + 72.
3*(j - 6)*(j - 4)*(11*j + 2)/2
Solve 2*l**5/5 + 11*l**4/10 - 79*l**3/10 + 7*l**2/10 + 15*l/2 - 9/5 = 0.
-6, -1, 1/4, 1, 3
Factor 3*q**2 - 228*q + 225.
3*(q - 75)*(q - 1)
Factor -u**5 - 7*u**4 + 3*u**3 + 55*u**2 - 50*u.
-u*(u - 2)*(u - 1)*(u + 5)**2
Find y such that -2*y**4 + 6*y**3 + 22*y**2 - 6*y - 20 = 0.
-2, -1, 1, 5
Factor 4*o**2 - 3540*o - 3544.
4*(o - 886)*(o + 1)
Factor 4*s**5 - 93*s**4 + 23*s**3.
s**3*(s - 23)*(4*s - 1)
Factor 5*n**2 + 2650*n + 351125.
5*(n + 265)**2
Let -26*w**5/3 - 158*w**4/3 + 274*w**3/3 + 1582*w**2/3 - 2480*w/3 - 200/3 = 0. Calculate w.
-5, -1/13, 2
Solve -3*o**3 + 189*o**2 + 390*o = 0.
-2, 0, 65
Factor s**3 - 64*s**2/3 + 319*s/3 + 242/3.
(s - 11)**2*(3*s + 2)/3
Find u, given that -2*u**3/3 + 522*u**2 - 101920*u - 307328/3 = 0.
-1, 392
Determine d, given that -4*d**2/3 - 1120*d + 3372 = 0.
-843, 3
Factor -k**2 - 259*k.
-k*(k + 259)
Factor 6*m**3 - 596*m**2 + 194*m + 396.
2*(m - 99)*(m - 1)*(3*m + 2)
Factor -3*p**3 + 144*p**2 - 2304*p + 12288.
-3*(p - 16)**3
Factor -4*p**2/7 - 40*p/7.
-4*p*(p + 10)/7
Let 5*a**5 + 420*a**4 - 4535*a**3 + 15310*a**2 - 18720*a + 7520 = 0. Calculate a.
-94, 1, 4
Factor 28*g**2 - 10060*g + 2872.
4*(g - 359)*(7*g - 2)
What is c in -2*c**2/7 + 542*c/7 + 544/7 = 0?
-1, 272
Determine m, given that m**2/5 + 2*m/5 + 1/5 = 0.
-1
Let -b**2/7 + 60*b/7 - 900/7 = 0. Calculate b.
30
Factor -3*h**2 + 2421*h + 2424.
-3*(h - 808)*(h + 1)
Find p, given that 2*p**4/13 - 176*p**3/13 - 548*p**2/13 + 176*p/13 + 42 = 0.
-3, -1, 1, 91
Factor 4*x**5 + 16*x**4 + 24*x**3 + 16*x**2 + 4*x.
4*x*(x + 1)**4
Solve 20*k**5 - 368*k**4 + 1104*k**3 - 1304*k**2 + 668*k - 120 = 0 for k.
2/5, 1, 15
Factor -3*w**2 + 12*w.
-3*w*(w - 4)
Factor 4*x**3/3 - 32*x**2/3 + 20*x/3 + 56/3.
4*(x - 7)*(x - 2)*(x + 1)/3
What is l in l**3/4 + 367*l**2/4 + 34571*l/4 + 163805/4 = 0?
-181, -5
Factor -g**2/4 - 119*g/4 + 30.
-(g - 1)*(g + 120)/4
Factor -o**3/2 + 11*o**2 + o/2 - 11.
-(o - 22)*(o - 1)*(o + 1)/2
Factor 2*j**2/9 + 4*j/3.
2*j*(j + 6)/9
What is q in 224*q**4 + 2600*q**3 - 1076*q**2 - 236*q + 48 = 0?
-12, -1/4, 1/7, 1/2
Factor -r**3/4 - 37*r**2/4 - 41*r - 32.
-(r + 1)*(r + 4)*(r + 32)/4
Find w such that w**2 + 19*w - 42 = 0.
-21, 2
Determine d so that 4*d**5/5 - 17*d**4/5 + 12*d**3/5 + 14*d**2/5 - 16*d/5 + 3/5 = 0.
-1, 1/4, 1, 3
Factor u**4/6 - u**3/3 + u/3 - 1/6.
(u - 1)**3*(u + 1)/6
Factor 3*s**2 + 87*s + 570.
3*(s + 10)*(s + 19)
Factor 3*f**2/4 + 375*f + 46875.
3*(f + 250)**2/4
Determine a so that -2*a**5/7 - 22*a**4/7 + 60*a**3/7 + 100*a**2/7 - 58*a/7 - 78/7 = 0.
-13, -1, 1, 3
Factor y**5/4 + 5*y**4/2 + 39*y**3/4 + 37*y**2/2 + 17*y + 6.
(y + 1)*(y + 2)**3*(y + 3)/4
Factor 2*q**2 + 96*q - 98.
2*(q - 1)*(q + 49)
Suppose 2*v**3/17 + 14*v**2 + 7198*v/17 + 6962/17 = 0. What is v?
-59, -1
Factor -u**3 + 5*u**2 + 14*u.
-u*(u - 7)*(u + 2)
Let 26*d**5 - 186*d**4 + 158*d**3 + 162*d**2 - 184*d + 24 = 0. Calculate d.
-1, 2/13, 1, 6
Factor -o**3/4 + 31*o**2/4 - 255*o/4 + 225/4.
-(o - 15)**2*(o - 1)/4
Find i, given that -2*i**4 + 12*i**3 - 18*i**2 = 0.
0, 3
Solve -4*r**2 + 140*r + 800 = 0 for r.
-5, 40
Solve -4*r**3/5 - 84*r**2/5 - 152*r/5 = 0 for r.
-19, -2, 0
Suppose 3*a**5/2 - 303*a**4 + 1782*a**3 - 3540*a**2 + 2352*a = 0. Calculate a.
0, 2, 196
Factor 3*o**3 - 39*o**2 - 270*o.
3*o*(o - 18)*(o + 5)
Let -7*t**4 + 772*t**3 - 9971*t**2 + 35714*t - 9408 = 0. What is t?
2/7, 7, 96
Factor -3*u**5 + 24*u**3 - 48*u.
-3*u*(u - 2)**2*(u + 2)**2
Factor 4*v**5/3 + 404*v**4/3 + 796*v**3/3 + 132*v**2.
4*v**2*(v + 1)**2*(v + 99)/3
Determine b, given that 9*b**4/5 - 34*b**3/5 - 8*b**2/5 = 0.
-2/9, 0, 4
Suppose 2*k**2/7 - 216*k/7 + 214/7 = 0. What is k?
1, 107
Solve -4*w**5 + 76*w**4 - 124*w**3 - 236*w**2 + 560*w - 272 = 0 for w.
-2, 1, 2, 17
Let -2*j**4 - 2*j**3 + 60*j**2 = 0. Calculate j.
-6, 0, 5
What is h in -48*h**4/7 - 242*h**3/7 - 346*h**2/7 - 158*h/7 - 6/7 = 0?
-3, -1, -1/24
Determine a, given that 95*a**3/7 + 258*a**2/7 - 227*a/7 - 18 = 0.
-63/19, -2/5, 1
Factor 4*u**3/5 - 1032*u**2/5 + 88752*u/5 - 2544224/5.
4*(u - 86)**3/5
Factor -2*p**4/17 + 16*p**3/17 + 18*p**2/17.
-2*p**2*(p - 9)*(p + 1)/17
Factor -5*i**5 - 5*i**4 + 5*i**3 + 5*i**2.
-5*i**2*(i - 1)*(i + 1)**2
Find r, given that -12*r**5 + 432*r**4 + 1377*r**3 + 1053*r**2 = 0.
-3/2, 0, 39
Factor 3*h**3/5 + 51*h**2/5 + 237*h/5 + 189/5.
3*(h + 1)*(h + 7)*(h + 9)/5
Solve 2*f**4/3 - 8*f**3 - 40*f**2 + 1600*f/3 = 0.
-8, 0, 10
Suppose 8*x**5/5 + 56*x**4/5 - 294*x**3/5 - 544*x**2/5 - 22*x/5 + 36 = 0. What is x?
-10, -1, 1/2, 9/2
Solve -5*b**5 - 415*b**4 - 10310*b**3 - 71730*b**2 - 194805*b - 184815 = 0.
-37, -3
Let 4*d**5 + 52*d**4 + 180*d**3 - 100*d**2 - 1000*d = 0. What is d?
-5, 0, 2
Factor -4*q**2/5 - 96*q - 476/5.
-4*(q + 1)*(q + 119)/5
Factor -y**4/4 + y**3/4 + 3*y**2/4 - 5*y/4 + 1/2.
-(y - 1)**3*(y + 2)/4
Factor h**3/4 + 45*h**2/4 + 271*h/2 + 228.
(h + 2)*(h + 19)*(h + 24)/4
Factor -3*w**5 + 54*w**4 - 312*w**3 + 816*w**2 - 1008*w + 480.
-3*(w - 10)*(w - 2)**4
Determine o so that -o**2 + 8*o + 20 = 0.
-2, 10
Solve 3*h**3/7 - 57*h**2/7