*b**3/7 - 12052*b**2/7 - 2481648*b/7 - 40908816/7 = 0.
-26, 123
Let -3*q**4 + 47*q**3 - 29*q**2 - 15*q = 0. Calculate q.
-1/3, 0, 1, 15
Factor -4*c**2/7 + 64*c/7.
-4*c*(c - 16)/7
Find y such that -5*y**5 - 25*y**4 - 45*y**3 - 35*y**2 - 10*y = 0.
-2, -1, 0
Factor -g**2/5 - 366*g/5 - 33489/5.
-(g + 183)**2/5
Factor -m**2/2 + 142*m + 286.
-(m - 286)*(m + 2)/2
Suppose 2*f**2/9 + 1808*f/3 + 408608 = 0. Calculate f.
-1356
Find r, given that -4*r**5 - 80*r**4 - 88*r**3 + 3120*r**2 - 6084*r = 0.
-13, 0, 3
Solve 2*n**2/11 + 16*n/11 - 6 = 0 for n.
-11, 3
Suppose 3*k**4/8 + 3*k**3/2 - 6*k - 6 = 0. What is k?
-2, 2
Determine k, given that -k**3/6 + 29*k**2/3 - 368*k/3 + 448 = 0.
8, 42
Factor -4*q**4 + 4*q**3 + 12*q**2 - 4*q - 8.
-4*(q - 2)*(q - 1)*(q + 1)**2
Factor s**3 + 576*s**2 + 110592*s + 7077888.
(s + 192)**3
Solve -2*m**4 + 30*m**3 + 292*m**2 - 3864*m - 8624 = 0 for m.
-11, -2, 14
Factor g**5/5 + 23*g**4/5 + 114*g**3/5 + 212*g**2/5 + 136*g/5.
g*(g + 2)**3*(g + 17)/5
Let -2*w**2/3 + 132*w - 6534 = 0. What is w?
99
Factor 3*b**3 - 18*b**2 - 21*b.
3*b*(b - 7)*(b + 1)
Factor 2*k**5 + 6*k**4 - 2*k**3 - 6*k**2.
2*k**2*(k - 1)*(k + 1)*(k + 3)
Factor 2*i**3/21 + 118*i**2/7 + 6962*i/7 + 410758/21.
2*(i + 59)**3/21
Factor 2*g**3/3 - 1430*g**2 + 766122*g + 2302658/3.
2*(g - 1073)**2*(g + 1)/3
Solve 125*v**5 - 3900*v**4 + 26560*v**3 - 28208*v**2 + 10800*v - 1408 = 0.
2/5, 8, 22
Let -c**4 - 2*c**3 + 8*c**2 = 0. Calculate c.
-4, 0, 2
Solve -10*f**3 + 406*f**2 + 2984*f + 1128 = 0.
-6, -2/5, 47
Find g such that 6*g**5 + 167*g**4/5 + 191*g**3/5 - 123*g**2/5 - 9*g/5 = 0.
-3, -1/15, 0, 1/2
Solve -2*t**3/7 - 2*t**2 - 8*t/7 + 24/7 = 0 for t.
-6, -2, 1
Let -t**3/3 + 25*t**2 - 584*t/3 - 220 = 0. What is t?
-1, 10, 66
Suppose -8*c**5/5 - 2*c**4/5 + 192*c**3/5 - 464*c**2/5 + 256*c/5 + 96/5 = 0. Calculate c.
-6, -1/4, 2
Factor 3*c**2 + 294*c - 297.
3*(c - 1)*(c + 99)
Factor -36*a**5/5 + 4656*a**4/5 - 201241*a**3/5 + 585789*a**2 - 959631*a/5 + 79507/5.
-(a - 43)**3*(6*a - 1)**2/5
What is n in 4*n**3/5 + 24*n**2/5 - 12*n + 32/5 = 0?
-8, 1
What is t in t**3/4 - 21*t**2/4 - 45*t/4 - 23/4 = 0?
-1, 23
Let -y**4 + 80*y**3 - 526*y**2 + 1104*y - 657 = 0. Calculate y.
1, 3, 73
Suppose j**5/8 + j**4/4 - 7*j**3/4 + j**2 + 13*j/8 - 5/4 = 0. What is j?
-5, -1, 1, 2
Solve c**5/10 + 2*c**4/5 - 21*c**3/10 = 0.
-7, 0, 3
Determine v so that -6*v**4/11 - 78*v**3/11 - 24*v**2 - 192*v/11 = 0.
-8, -4, -1, 0
What is p in -3*p**2 - 1956*p - 318828 = 0?
-326
Solve 8*z**3 - 188*z**2 + 185*z/2 - 23/2 = 0 for z.
1/4, 23
Let -x**3 + 3*x**2 - 2*x = 0. What is x?
0, 1, 2
Factor 5*b**2 - 2470*b + 2465.
5*(b - 493)*(b - 1)
Solve -2*j**3/3 + 70*j**2/3 - 122*j + 174 = 0.
3, 29
Determine d so that d**2/4 + 2087*d/4 - 522 = 0.
-2088, 1
Factor -4*m**2 - 60*m + 400.
-4*(m - 5)*(m + 20)
Solve -v**4 + 12*v**3 - 21*v**2 + 10*v = 0.
0, 1, 10
Find f such that -3*f**4 + 36*f**3 - 138*f**2 + 180*f - 75 = 0.
1, 5
Factor 3*y**2/7 - 24*y/7 + 3.
3*(y - 7)*(y - 1)/7
What is q in -2*q**4/5 + 808*q**3/5 - 804*q**2/5 - 808*q/5 + 806/5 = 0?
-1, 1, 403
Factor 5*b**5/2 - 19*b**4 + 37*b**3 - 22*b**2 - 7*b/2 + 5.
(b - 5)*(b - 1)**3*(5*b + 2)/2
Factor 2*l**3 + 24*l**2 - 26*l.
2*l*(l - 1)*(l + 13)
Find v, given that -5*v**3 + 725*v**2 - 32375*v + 459375 = 0.
35, 75
Factor 4*y**4 - 28*y**3 - 12*y**2 + 76*y + 56.
4*(y - 7)*(y - 2)*(y + 1)**2
Factor 2*z**3/5 + 82*z**2/5 + 704*z/5 - 2904/5.
2*(z - 3)*(z + 22)**2/5
Determine m so that -576*m**5 - 5856*m**4 + 3068*m**3 + 113528*m**2 + 18844*m + 784 = 0.
-7, -1/12, 4
Suppose -15*z**4 - 99*z**3 - 24*z**2 + 396*z + 336 = 0. What is z?
-28/5, -2, -1, 2
Factor -3*v**3 + 150*v**2 + 1989*v - 127764.
-3*(v - 39)**2*(v + 28)
Factor 2*x**4/21 + 1016*x**3/21 + 124904*x**2/21 - 349504*x/7 + 710016/7.
2*(x - 4)**2*(x + 258)**2/21
What is y in -3*y**4/5 + 1614*y**3/5 - 218691*y**2/5 + 432552*y/5 - 215472/5 = 0?
1, 268
Factor -2*j**2/9 + 1340*j/9 - 224450/9.
-2*(j - 335)**2/9
Suppose 5*y**5/6 + 125*y**4/3 + 520*y**3 - 125*y**2/3 - 3125*y/6 = 0. Calculate y.
-25, -1, 0, 1
Find c, given that -c**2/4 + 9*c/4 - 9/2 = 0.
3, 6
Factor -40*s**2/17 + 202*s/17 - 10/17.
-2*(s - 5)*(20*s - 1)/17
Determine o, given that 2*o**2/7 + 134*o/7 = 0.
-67, 0
Factor -x**4 - 2114*x**3 - 1115133*x**2 + 2236612*x - 1119364.
-(x - 1)**2*(x + 1058)**2
Factor -4*n**2/5 + 2192*n/5 - 300304/5.
-4*(n - 274)**2/5
Let -4*m**4 - 41*m**3 - 62*m**2 + 83*m + 24 = 0. What is m?
-8, -3, -1/4, 1
What is b in 2*b**4 + 11*b**3 + 19*b**2 + 13*b + 3 = 0?
-3, -1, -1/2
Determine z so that -2*z**2 + 634*z - 1884 = 0.
3, 314
Factor 3*q**3 + 102*q**2 + 480*q - 7200.
3*(q - 6)*(q + 20)**2
Solve -18*d**5/5 - 4*d**4/5 + 54*d**3/5 - 24*d**2/5 - 8*d/5 = 0 for d.
-2, -2/9, 0, 1
Factor 5*k**2 - 2960*k + 438080.
5*(k - 296)**2
Find d such that 3*d**2 + 143*d/3 - 170/3 = 0.
-17, 10/9
Suppose -4*h**2 - 168*h = 0. Calculate h.
-42, 0
Factor -q**2 - 20*q - 36.
-(q + 2)*(q + 18)
Suppose 3*r**3 + 75*r**2 - 246*r + 168 = 0. Calculate r.
-28, 1, 2
Factor 50*y**3 - 4730*y**2 - 31808*y - 51712.
2*(y - 101)*(5*y + 16)**2
Factor 3*m**3 - 360*m**2 - 741*m + 1098.
3*(m - 122)*(m - 1)*(m + 3)
Solve -2*l**2/7 + 246*l/7 + 248/7 = 0.
-1, 124
Factor j**5/4 - 573*j**4/4 + 1143*j**3/4 - 571*j**2/4.
j**2*(j - 571)*(j - 1)**2/4
Factor r**4 + 26*r**3 + 204*r**2 + 504*r.
r*(r + 6)**2*(r + 14)
Determine s, given that s**3/2 - 72*s**2 + 810*s - 2376 = 0.
6, 132
Let 24*t**5/17 + 8*t**4 - 1018*t**3/17 + 260*t**2/17 + 400*t/17 = 0. Calculate t.
-10, -1/2, 0, 5/6, 4
Factor z**2/3 + 834*z.
z*(z + 2502)/3
Solve 2*o**4/7 = 0 for o.
0
Factor 2*b**4/3 - 4*b**3 + 44*b/3 + 10.
2*(b - 5)*(b - 3)*(b + 1)**2/3
Factor 5*u**3 - 95*u**2 + 540*u - 900.
5*(u - 10)*(u - 6)*(u - 3)
Factor 4*j**4 - 12*j**3 - 132*j**2 + 220*j + 1200.
4*(j - 5)**2*(j + 3)*(j + 4)
Solve 2*p**3 + 62*p**2 - 274*p + 210 = 0.
-35, 1, 3
Find t, given that -50*t**4 + 415*t**3 - 920*t**2 + 240*t = 0.
0, 3/10, 4
Determine z, given that z**3 + 1415*z**2/3 - 158*z - 944/3 = 0.
-472, -2/3, 1
Factor 4*n**5 - 220*n**4 - 456*n**3 - 8*n**2 + 452*n + 228.
4*(n - 57)*(n - 1)*(n + 1)**3
Suppose -y**2 - 7*y/3 - 4/3 = 0. Calculate y.
-4/3, -1
Let -39*n**4/2 - 79*n**3/2 - n**2 = 0. What is n?
-2, -1/39, 0
Factor -16*d**4 - 68*d**3 - 108*d**2 - 76*d - 20.
-4*(d + 1)**3*(4*d + 5)
Suppose 3*k**4/5 + 117*k**3/5 + 1521*k**2/5 + 6591*k/5 = 0. What is k?
-13, 0
Factor -9*i**2 - 136*i - 15.
-(i + 15)*(9*i + 1)
Solve -2*g**5/3 + 10*g**4/3 - 4*g**3/3 - 16*g**2/3 = 0.
-1, 0, 2, 4
Suppose 2*x**2/15 + 52*x/5 + 1014/5 = 0. Calculate x.
-39
Factor -m**3 - 5*m**2 - 4*m.
-m*(m + 1)*(m + 4)
Factor 2*y**4 - 220*y**3 + 7226*y**2 - 64680*y + 172872.
2*(y - 49)**2*(y - 6)**2
Factor -4*o**2 + 44*o + 504.
-4*(o - 18)*(o + 7)
Find a such that 4*a**2 + 3224*a - 6464 = 0.
-808, 2
Factor 2*k**5 + 6*k**4 - 44*k**3 - 148*k**2 - 150*k - 50.
2*(k - 5)*(k + 1)**3*(k + 5)
Factor -2*n**3 + 1460*n**2 - 266450*n.
-2*n*(n - 365)**2
Factor -3*h**2 + 3288*h - 900912.
-3*(h - 548)**2
Solve 5*g**3 + 190*g**2 + 1405*g + 2900 = 0.
-29, -5, -4
Factor 5*a**3 + 6370*a**2 - 19145*a + 12770.
5*(a - 2)*(a - 1)*(a + 1277)
Suppose -n**3/7 + 4*n**2/7 + 12*n/7 = 0. Calculate n.
-2, 0, 6
Factor -3*k**4 + 21*k**3 - 45*k**2 + 27*k.
-3*k*(k - 3)**2*(k - 1)
Find w, given that 2*w**3 + 398*w**2 + 19998*w + 19602 = 0.
-99, -1
Factor 5*d**4 + 30*d**3 + 55*d**2 + 30*d.
5*d*(d + 1)*(d + 2)*(d + 3)
Factor o**4/4 + 5*o**3/4 - 6*o**2.
o**2*(o - 3)*(o + 8)/4
Factor -n**2/4 - 97*n/2 - 9409/4.
-(n + 97)**2/4
Find a, given that -4*a**4/7 + 72*a**3/7 - 236*a**2/7 + 24*a = 0.
0, 1, 3, 14
Suppose 3*r**3/4 - 549*r**2/4 + 1089*r/4 - 543/4 = 0. What is r?
1, 181
Factor d**2/3 - 53*d - 160/3.
(d - 160)*(d + 1)/3
Factor -j**3/3 + 7*j/3 + 2.
-(j - 3)*(j + 1)*(j + 2)/3
Factor 2*t**5 - 124*t**4 + 1008*t**3 - 2916*t**2 + 2862*t.
2*t*(t - 53)*(t - 3)**3
Factor -l**5/3 + 4*l**4 - 15*l**3 + 50*l**2/3.
-l**2*(l - 5)**2*(l - 2)/3
Suppose 3*s**2 - 108*s = 0. What is s?
0, 36
Solve -3*l**3/4 - 13*l**2/2 + 83*l/4 + 33/2 = 0 for l.
-11, -2/3, 3
Let -3*c**5/8 + 15*c**4/8 + 21*c**3/8 - 15*c**2/8 - 9*c/4 = 0. Calculate c.
-1, 0, 1, 6
Factor -t**3 - 873*t**2 - 872*t.
-t*(t + 1)*(t + 872)
Factor -2*q**2/5 - 84*q/5 + 176/5.
-2*(q - 2)*(q + 44)/5
What is f in 3*f**5/7 + 15*f**4/7 + 24*f**3/7 + 12*f**2/7 = 0?
-2, -1, 0
Suppose -135*i**4 + 75*