*(x - 1)/5
Factor -3*t**4 - 5079*t**3 - 2147145*t**2 + 2152227*t.
-3*t*(t - 1)*(t + 847)**2
Factor -r**5 + 18*r**4 - 62*r**3 + 88*r**2 - 57*r + 14.
-(r - 14)*(r - 1)**4
Solve 4*y**4 - 16*y**3 + 20*y**2 - 8*y = 0 for y.
0, 1, 2
Suppose -2*k**2/15 - 26*k/15 - 44/15 = 0. What is k?
-11, -2
Determine k, given that -2*k**5/15 - 4*k**4/5 - 8*k**3/5 - 16*k**2/15 = 0.
-2, 0
Suppose -c**2/7 - 5244*c/7 - 6874884/7 = 0. Calculate c.
-2622
Solve -2*v**5 + 6*v**4 + 2*v**3 - 22*v**2 + 24*v - 8 = 0 for v.
-2, 1, 2
Factor -3*i**3/4 - 117*i**2/2 - 1107*i/4 - 219.
-3*(i + 1)*(i + 4)*(i + 73)/4
Find i such that -3*i**2 - 1638*i = 0.
-546, 0
Factor -2*y**4/3 + 4*y**3/3 - 4*y/3 + 2/3.
-2*(y - 1)**3*(y + 1)/3
Solve -2*b**3 - 24*b**2 - 70*b - 48 = 0.
-8, -3, -1
Suppose -3*c**4 - 39*c**3 + 87*c**2 - 45*c = 0. Calculate c.
-15, 0, 1
What is h in 4*h**2/5 + 32*h/5 + 48/5 = 0?
-6, -2
Factor -2*k**2/3 + 14*k/3 - 4.
-2*(k - 6)*(k - 1)/3
Factor 4*f**2 + 1288*f + 1284.
4*(f + 1)*(f + 321)
Factor 2*k**5/5 + 16*k**4/5 + 36*k**3/5 + 32*k**2/5 + 2*k.
2*k*(k + 1)**3*(k + 5)/5
Find h such that -2*h**5 + 98*h**4 - 370*h**3 + 454*h**2 - 180*h = 0.
0, 1, 2, 45
Suppose r**5 - 39*r**4 + 542*r**3 - 3096*r**2 + 6048*r - 3456 = 0. What is r?
1, 2, 12
Factor 3*u**2/7 + 270*u/7 + 6075/7.
3*(u + 45)**2/7
Solve 45*p**2 - 3025*p + 670 = 0.
2/9, 67
Suppose 9*z**4 - 714*z**3 + 1632*z**2 - 1158*z + 231 = 0. Calculate z.
1/3, 1, 77
Suppose -2*s**2 + 28*s - 98 = 0. What is s?
7
Find l, given that 2*l**3 + 72*l**2 + 138*l + 68 = 0.
-34, -1
Solve -3*k**4 + 9*k**3 + 165*k**2 - 9*k - 162 = 0.
-6, -1, 1, 9
What is d in -5*d**2/8 + 1009*d/8 + 101/4 = 0?
-1/5, 202
Factor -i**3/2 - 6*i**2 + 69*i/2 + 40.
-(i - 5)*(i + 1)*(i + 16)/2
Factor -y**2 - 45*y - 44.
-(y + 1)*(y + 44)
Determine o, given that 4*o**2 - 72*o + 68 = 0.
1, 17
Suppose 98*v**4/9 + 280*v**3/3 + 2024*v**2/9 + 320*v/3 + 128/9 = 0. What is v?
-4, -2/7
Factor -p**4 - 31*p**3 + 12*p**2 + 388*p + 496.
-(p - 4)*(p + 2)**2*(p + 31)
Factor -p**2/2 - 82*p - 474.
-(p + 6)*(p + 158)/2
Suppose -8*p**4 - 20*p**3 - 12*p**2 = 0. Calculate p.
-3/2, -1, 0
Solve -y**4/6 - y**3/3 + y/3 + 1/6 = 0.
-1, 1
Let 4*f**5/3 - 232*f**3/3 - 352*f**2/3 + 460*f - 800/3 = 0. Calculate f.
-5, 1, 8
Solve 4*l**5 + 186*l**4 + 620*l**3 + 784*l**2 + 432*l + 86 = 0 for l.
-43, -1, -1/2
Find v such that -v**3 + v**2 + 21*v - 45 = 0.
-5, 3
Factor 3*j**4/4 - 15*j**3/2 + 51*j**2/4 + 21*j.
3*j*(j - 7)*(j - 4)*(j + 1)/4
Factor 2*t**5/7 - 8*t**4/7 + 2*t**3/7 + 20*t**2/7 - 8*t/7 - 16/7.
2*(t - 2)**3*(t + 1)**2/7
Factor -3*f**5 + 183*f**4 - 3774*f**3 + 27240*f**2 - 16800*f - 48000.
-3*(f - 20)**3*(f - 2)*(f + 1)
Factor 35*q**3 - 970*q**2 - 280*q.
5*q*(q - 28)*(7*q + 2)
Determine w so that -w**4/2 + 11*w**3 - 21*w**2/2 = 0.
0, 1, 21
Find w, given that 5*w**2 + 60*w - 65 = 0.
-13, 1
Suppose -12*w**3 - 231*w**2 + 183*w + 60 = 0. What is w?
-20, -1/4, 1
Factor -2*l**3/7 + 96*l**2/7 - 216*l + 7776/7.
-2*(l - 18)**2*(l - 12)/7
Suppose 6*r**4 + 98*r**3/5 + 78*r**2/5 - 2*r/5 - 12/5 = 0. What is r?
-2, -1, -3/5, 1/3
Factor 4*j**3 - 36*j**2 - 84*j + 980.
4*(j - 7)**2*(j + 5)
Let 15*r**4/2 - 21*r**3/2 - 147*r**2 + 60*r = 0. What is r?
-4, 0, 2/5, 5
What is c in -28*c**3/5 - 1504*c**2/5 + 432*c/5 = 0?
-54, 0, 2/7
Factor -4*o**2 - 488*o - 14884.
-4*(o + 61)**2
Suppose 4*p**5 + 320*p**4/3 - 40*p**3 - 320*p**2/3 + 36*p = 0. What is p?
-27, -1, 0, 1/3, 1
Factor 2*v**5 - 18*v**3 - 8*v**2 + 24*v.
2*v*(v - 3)*(v - 1)*(v + 2)**2
Factor 4*a**5/3 - 3472*a**4/3 + 995200*a**3/3 - 91459072*a**2/3 - 780336128*a/3 - 1593413632/3.
4*(a - 292)**3*(a + 4)**2/3
Let -r**5 + 23*r**4 - 160*r**3 + 296*r**2 + 80*r - 400 = 0. What is r?
-1, 2, 10
Let -u**3 - 879*u**2 - 257547*u - 25153757 = 0. Calculate u.
-293
Factor 5*g**2/2 - 115*g/2 - 1050.
5*(g - 35)*(g + 12)/2
Suppose g**5/6 + 5*g**4 - 16*g**3 + 49*g**2/3 - 11*g/2 = 0. Calculate g.
-33, 0, 1
Factor -4*a**4 + 132*a**3 - 128*a**2.
-4*a**2*(a - 32)*(a - 1)
Suppose t**3/12 - 5*t**2/12 + t/3 = 0. Calculate t.
0, 1, 4
Suppose -m**2 - 10*m + 119 = 0. Calculate m.
-17, 7
Suppose -p**3/3 + 7*p**2/3 - 4*p/3 - 4 = 0. Calculate p.
-1, 2, 6
Solve -x**5 + 47*x**4 - 619*x**3 + 1585*x**2 - 1496*x + 484 = 0.
1, 22
Let -3*t**5/7 + 9*t**4 - 222*t**3/7 + 318*t**2/7 - 207*t/7 + 51/7 = 0. Calculate t.
1, 17
Factor -b**3/3 - b**2 + 13*b/3 + 5.
-(b - 3)*(b + 1)*(b + 5)/3
Factor -t**2/4 + 273*t/4.
-t*(t - 273)/4
Solve 60*a**2 + 188*a + 24 = 0.
-3, -2/15
What is t in 2*t**5/11 + 12*t**4/11 + 16*t**3/11 - 12*t**2/11 - 18*t/11 = 0?
-3, -1, 0, 1
Determine f so that 3*f**3 + 1398*f**2 - 2805*f + 1404 = 0.
-468, 1
Factor -5*b**4 - 55*b**3 - 190*b**2 - 260*b - 120.
-5*(b + 1)*(b + 2)**2*(b + 6)
Factor 3*x**4 + 42*x**3 + 99*x**2.
3*x**2*(x + 3)*(x + 11)
Let -3*v**4 - 174*v**3 - 2688*v**2 - 4704*v = 0. What is v?
-28, -2, 0
Factor 9*x**3/5 - 30*x**2 + 231*x/5 - 18.
3*(x - 15)*(x - 1)*(3*x - 2)/5
Suppose 375*g**4 + 4350*g**3 + 15120*g**2 + 7938*g - 27783 = 0. Calculate g.
-21/5, 1
Let -3*o**4 + 801*o**3 + 4878*o**2 + 9804*o + 6552 = 0. What is o?
-2, 273
Determine k so that -3*k**3/2 + 3*k**2/2 + 3*k = 0.
-1, 0, 2
Determine s, given that -s**3/4 + 9*s**2 - 357*s/4 + 289/2 = 0.
2, 17
Let -r**2/2 + 268*r = 0. Calculate r.
0, 536
Factor -2*c**2/7 + 26*c/7 + 4.
-2*(c - 14)*(c + 1)/7
Factor 2*x**2 - 1260*x + 198450.
2*(x - 315)**2
Factor 2*i**2/19 + 6*i/19 + 4/19.
2*(i + 1)*(i + 2)/19
Factor 2*l**2/9 + 14*l/3 - 44/9.
2*(l - 1)*(l + 22)/9
Find o such that o**3 + 22*o**2 - 47*o + 24 = 0.
-24, 1
Factor 2*g**2 - 396*g - 398.
2*(g - 199)*(g + 1)
Factor -5*d**3 + 245*d**2.
-5*d**2*(d - 49)
What is q in q**4/3 + 8*q**3/3 + 22*q**2/3 + 8*q + 3 = 0?
-3, -1
Let 3*k**5 - 18*k**4 + 39*k**3 - 36*k**2 + 12*k = 0. What is k?
0, 1, 2
Factor c**2/4 - 345*c/2 + 119025/4.
(c - 345)**2/4
Determine k, given that -5*k**5 - 60*k**4 - 275*k**3 - 600*k**2 - 620*k - 240 = 0.
-4, -3, -2, -1
Determine n, given that -4*n**2 + 112*n - 208 = 0.
2, 26
Suppose -7*p**3/4 + 1803*p**2/4 - 115713*p/4 - 49923/4 = 0. Calculate p.
-3/7, 129
Determine d so that -2*d**5/11 - 2*d**4 + 82*d**3/11 - 34*d**2/11 - 80*d/11 + 56/11 = 0.
-14, -1, 1, 2
Factor 5*t**4 - 65*t**3.
5*t**3*(t - 13)
Solve -162*j**3 - 3528*j**2 - 17978*j + 40804/3 = 0.
-101/9, 2/3
Let 5*n**3 + 510*n**2 + 10080*n - 156800 = 0. What is n?
-56, 10
Suppose 3*c**4 + 24*c**3 - 63*c**2 - 24*c + 60 = 0. What is c?
-10, -1, 1, 2
Find z, given that -5*z**3 - 15*z**2 + 720*z + 2160 = 0.
-12, -3, 12
Factor -2*v**2 + 4*v.
-2*v*(v - 2)
Suppose s**3/9 + 181*s**2/9 + 79*s + 59 = 0. Calculate s.
-177, -3, -1
Factor 5*u**3 - 25*u**2 + 10*u + 40.
5*(u - 4)*(u - 2)*(u + 1)
Factor 5*i**5 + 325*i**4 + 4775*i**3 - 16325*i**2 + 17000*i - 5780.
5*(i - 1)**3*(i + 34)**2
Factor -3*r**2 + 339*r + 3690.
-3*(r - 123)*(r + 10)
Solve -r**2 + 11*r - 18 = 0 for r.
2, 9
Solve 5*c**4 + 165*c**3 + 1275*c**2 - 1445*c = 0 for c.
-17, 0, 1
Factor -2*p**4/3 - 4*p**3 + 14*p**2/3.
-2*p**2*(p - 1)*(p + 7)/3
Find m such that m**2/2 - 37*m/2 + 18 = 0.
1, 36
Factor y**4/2 - 24*y**3 + 431*y**2 - 3432*y + 20449/2.
(y - 13)**2*(y - 11)**2/2
Factor -3*s**5/2 + 243*s**4 - 20163*s**3/2 + 19440*s**2 - 9600*s.
-3*s*(s - 80)**2*(s - 1)**2/2
Determine f so that 5*f**4 + 200*f**3 - 5*f**2 - 200*f = 0.
-40, -1, 0, 1
Solve -118*u**4/7 + 468*u**3/7 - 456*u**2/7 - 16*u/7 = 0.
-2/59, 0, 2
Factor v**2/6 + 59*v/3.
v*(v + 118)/6
Factor 5*s**4 + 100*s**3 - 585*s**2 + 980*s - 500.
5*(s - 2)**2*(s - 1)*(s + 25)
Factor -4*a**4 - 52*a**3 - 88*a**2.
-4*a**2*(a + 2)*(a + 11)
Suppose 16*z**3 + 180*z**2 + 428*z + 96 = 0. Calculate z.
-8, -3, -1/4
Factor -3*x**3/4 + 273*x**2/2 - 537*x + 534.
-3*(x - 178)*(x - 2)**2/4
Factor 2*q**3 + 22*q**2 + 70*q + 50.
2*(q + 1)*(q + 5)**2
Solve -l**2 + 8*l - 16 = 0.
4
Solve -2*i**3/3 + 8*i**2/3 - 10*i/3 + 4/3 = 0.
1, 2
Solve -300*q**5 + 5240*q**4 - 2148*q**3 - 4120*q**2 + 3024*q - 544 = 0 for q.
-1, 2/5, 2/3, 17
Factor 3*q**3/4 + 117*q**2/2 - 3*q - 234.
3*(q - 2)*(q + 2)*(q + 78)/4
Suppose -k**5/3 - 7*k**4/3 - 19*k**3/3 - 25*k**2/3 - 16*k/3 - 4/3 = 0. Calculate k.
-2, -1
What is c in 3*c**3/8 - 15*c**2/8 - 39*c/8 - 21/8 = 0?
-1, 7
Factor -v**5/2 - v**4 + 7*v**3/2 - 2*v**2.
-v**2*(v - 1)**2*(v + 4)/2
Factor -2*v**2/9 - 2*v/9 + 368/3.
-2*(v - 23)*(v + 24)/9
Solve -2*y**2 + 764*y + 3870 = 0 for y.
-5, 387
Factor -q**2 - 