 9*t**3 - 30*t**2 - 24*t = 0.
-1, 0, 2, 4
Factor 3*t**2/8 - 10605*t/8.
3*t*(t - 3535)/8
Suppose 4*q**3 + 96*q**2 + 468*q - 1352 = 0. Calculate q.
-13, 2
Determine g, given that 3*g**5 - 3*g**4 - 36*g**3 - 12*g**2 + 48*g = 0.
-2, 0, 1, 4
Factor -324*h**2 + 141*h - 5/2.
-(12*h - 5)*(54*h - 1)/2
Solve 4*f**3/7 + 580*f**2/7 + 21312*f/7 + 20736/7 = 0 for f.
-72, -1
Factor -3*n**2/2 + 3*n + 45/2.
-3*(n - 5)*(n + 3)/2
Factor 3*k**2/5 - 3804*k/5 + 1205868/5.
3*(k - 634)**2/5
Factor 3*j**4/5 + 45*j**3 + 222*j**2/5.
3*j**2*(j + 1)*(j + 74)/5
Find f, given that -3*f**5/7 + 10*f**4/7 + 29*f**3/7 - 88*f**2/7 + 4*f/7 + 48/7 = 0.
-3, -2/3, 1, 2, 4
Find v such that 3*v**5/7 + 33*v**4/7 + 27*v**3/7 - 33*v**2/7 - 30*v/7 = 0.
-10, -1, 0, 1
Factor 3*h**4 - 126*h**3 + 351*h**2.
3*h**2*(h - 39)*(h - 3)
Factor -j**3/8 - 7*j**2/4 + 95*j/8.
-j*(j - 5)*(j + 19)/8
What is f in 3*f**5/2 + 21*f**4/2 + 24*f**3 + 18*f**2 = 0?
-3, -2, 0
Solve 3*t**4/2 + 18*t**3 = 0.
-12, 0
Determine n so that 2*n**2/9 + 58*n/9 + 56/9 = 0.
-28, -1
Factor -31746027*s**2/7 - 19518*s/7 - 3/7.
-3*(3253*s + 1)**2/7
What is u in -3*u**4/4 - 18*u**3 - 387*u**2/4 + 231*u/2 = 0?
-14, -11, 0, 1
What is n in 3*n**2/8 - 9*n/2 + 33/8 = 0?
1, 11
Let -2*y**5/9 + 14*y**4/9 + 56*y**3/3 - 584*y**2/9 + 32*y/9 + 256/3 = 0. Calculate y.
-8, -1, 2, 12
Factor -3*f**3/5 - 1329*f**2/5 - 2649*f/5 - 1323/5.
-3*(f + 1)**2*(f + 441)/5
Let 5*l**5 - 10*l**3 + 5*l = 0. What is l?
-1, 0, 1
Find h such that 5*h**4 - 305*h**3 + 5875*h**2 - 34375*h = 0.
0, 11, 25
What is u in -2*u**5/15 - 26*u**4/15 + 12*u**3/5 + 104*u**2/15 - 112*u/15 = 0?
-14, -2, 0, 1, 2
Find c, given that 2*c**4/11 - 26*c**3/11 - 70*c**2/11 + 138*c/11 + 180/11 = 0.
-3, -1, 2, 15
Factor 5*p**4 + 16*p**3 + 3*p**2.
p**2*(p + 3)*(5*p + 1)
Find i, given that -3*i**5/5 - 294*i**4/5 - 1497*i**3 - 2706*i**2 + 7488*i/5 + 13824/5 = 0.
-48, -2, -1, 1
Find b, given that -2*b**5/3 + 46*b**4/9 - 92*b**3/9 + 20*b**2/3 + 2*b/9 - 10/9 = 0.
-1/3, 1, 5
Determine p so that 6*p**4/5 + 38*p**3/5 + 236*p**2/15 + 184*p/15 + 16/5 = 0.
-3, -2, -2/3
Determine d, given that d**3 - 488*d**2 - 489*d = 0.
-1, 0, 489
Determine c so that -c**2 + 12978*c - 42107121 = 0.
6489
Factor -5*a**2 - 1130*a - 63845.
-5*(a + 113)**2
Find h, given that -3*h**2 - 486*h - 19683 = 0.
-81
Let -8*o**4 + 94*o**3 - 264*o**2 + 184*o + 64 = 0. What is o?
-1/4, 2, 8
Find t such that 5*t**5 - 32*t**4 - 11*t**3 + 146*t**2 - 36*t - 72 = 0.
-2, -3/5, 1, 2, 6
Solve 27*f**5 - 156*f**4 - 117*f**3 + 522*f**2 - 204*f - 72 = 0 for f.
-2, -2/9, 1, 6
Solve 5*n**5/2 - 23*n**4/2 - 15*n**3/2 + 23*n**2/2 + 5*n = 0.
-1, -2/5, 0, 1, 5
Let -p**2/6 - 81*p/2 = 0. Calculate p.
-243, 0
Factor -212*d**4 - 208*d**3 + 4*d**2.
-4*d**2*(d + 1)*(53*d - 1)
Factor -5*r**2 + 65*r - 110.
-5*(r - 11)*(r - 2)
Determine c so that -c**5/7 + 5*c**4/7 + 5*c**3/7 - 25*c**2/7 - 4*c/7 + 20/7 = 0.
-2, -1, 1, 2, 5
Determine j so that -32*j**3 - 316*j**2 - 248*j + 36 = 0.
-9, -1, 1/8
Let -2*l**2/15 - 1736*l/15 + 232 = 0. What is l?
-870, 2
Determine d, given that d**3/3 + 56*d**2/3 - 19*d = 0.
-57, 0, 1
Factor -p**3/4 - 2*p**2 + p/4 + 2.
-(p - 1)*(p + 1)*(p + 8)/4
Suppose -20*y**4 - 75*y**3 + 400*y**2 - 375*y + 70 = 0. What is y?
-7, 1/4, 1, 2
Factor -4*t**2 - 1328*t + 1332.
-4*(t - 1)*(t + 333)
Factor r**4/2 + 41*r**3/2 + 92*r**2 + 72*r.
r*(r + 1)*(r + 4)*(r + 36)/2
Suppose 5*u**5 + 15*u**4 - 20*u**3 - 60*u**2 = 0. What is u?
-3, -2, 0, 2
Factor -y**5 + 6*y**4 + 8*y**3 - 6*y**2 - 7*y.
-y*(y - 7)*(y - 1)*(y + 1)**2
Determine o, given that -3*o**4/5 + 38*o**3/5 + 321*o**2/5 - 608*o/5 + 252/5 = 0.
-7, 2/3, 1, 18
Determine q so that 3*q**4/5 + 6*q**3/5 - 24*q**2/5 = 0.
-4, 0, 2
Factor 2*n**3/7 + 726*n**2/7 + 87846*n/7 + 3543122/7.
2*(n + 121)**3/7
Find h such that -4*h**3 - 16*h**2 - 4*h + 24 = 0.
-3, -2, 1
Factor -2*b**4/3 + 22*b**3.
-2*b**3*(b - 33)/3
Factor 20*m**4 - 60*m**3 - 15*m**2 + 50*m - 15.
5*(m - 3)*(m + 1)*(2*m - 1)**2
Find c, given that -12*c**5 + 447*c**4 - 1755*c**3 + 2415*c**2 - 1293*c + 198 = 0.
1/4, 1, 2, 33
Let 50*a**5/7 + 96*a**4/7 - 158*a**3/7 - 188*a**2/7 + 216*a/7 - 16/7 = 0. Calculate a.
-2, 2/25, 1
Find p such that -p**5/2 + 14*p**4 + 15*p**3 - 14*p**2 - 29*p/2 = 0.
-1, 0, 1, 29
Factor -11*k**3/4 - k**2 + 11*k/4 + 1.
-(k - 1)*(k + 1)*(11*k + 4)/4
Factor r**2/5 - 468*r/5 + 54756/5.
(r - 234)**2/5
Let -u**4/7 + 29*u**3/7 - 123*u**2/7 + 9*u + 216/7 = 0. What is u?
-1, 3, 24
Factor -2*u**2 - 240*u - 7200.
-2*(u + 60)**2
Let 5*t**2 - 17800*t + 15842000 = 0. What is t?
1780
Factor 3*z**3 - 447*z**2 + 444*z.
3*z*(z - 148)*(z - 1)
Factor v**4/5 + 192*v**3/5 + 10296*v**2/5 + 20736*v + 58320.
(v + 6)**2*(v + 90)**2/5
Find o such that -3*o**2/4 + 1083*o/4 + 1095 = 0.
-4, 365
Factor m**2/10 - 3274*m/5 + 5359538/5.
(m - 3274)**2/10
Factor -4*c**2 - 824*c + 2508.
-4*(c - 3)*(c + 209)
Factor g**4/4 + g**3/2.
g**3*(g + 2)/4
Factor 2*k**2 + 540*k + 538.
2*(k + 1)*(k + 269)
Suppose -2*w**2/3 - 160*w - 9600 = 0. Calculate w.
-120
Let c**3/4 - 3*c**2/4 - 5*c/2 = 0. What is c?
-2, 0, 5
Find o, given that -3*o**4 - 42*o**3 - 192*o**2 - 288*o = 0.
-6, -4, 0
Factor 75*q**4 + 18315*q**3 - 14688*q**2 + 2940*q.
3*q*(q + 245)*(5*q - 2)**2
Find p, given that 3*p**5 - 6*p**4 - 168*p**3 - 624*p**2 - 912*p - 480 = 0.
-2, 10
Factor 3*v**2 - 267*v - 1116.
3*(v - 93)*(v + 4)
Determine i, given that -2*i**4 - 202*i**3 - 782*i**2 - 582*i = 0.
-97, -3, -1, 0
Solve r**2 + 164*r - 165 = 0.
-165, 1
Find m such that 2*m**4 - 8*m**3 - 32*m**2 + 128*m = 0.
-4, 0, 4
Factor -25*p**3 + 135*p**2 + 100*p - 60.
-5*(p - 6)*(p + 1)*(5*p - 2)
Factor 2*u**2 - 372*u + 17298.
2*(u - 93)**2
Factor 32*x**3/5 + 48*x**2/5 + 18*x/5 + 2/5.
2*(x + 1)*(4*x + 1)**2/5
Solve 2*l**4/5 - 54*l**3/5 + 86*l**2/5 + 342*l/5 + 40 = 0 for l.
-1, 4, 25
What is p in 3*p**3 - 1443*p**2 + 174240*p - 172800 = 0?
1, 240
Determine y, given that -y**3/5 + 3816*y**2/5 - 4853952*y/5 + 2058075648/5 = 0.
1272
Factor 2*y**3/11 + 2*y**2/11 - 16*y/11 - 24/11.
2*(y - 3)*(y + 2)**2/11
Factor -2*z**3 + 184*z**2 - 5320*z + 46208.
-2*(z - 38)**2*(z - 16)
Solve 3*z**2/8 - 87*z/2 + 2289/8 = 0.
7, 109
Let -2*t**2/5 + 96*t/5 + 98/5 = 0. Calculate t.
-1, 49
Let -4*g**4/7 + 36*g**3/7 - 44*g**2/7 - 12*g = 0. What is g?
-1, 0, 3, 7
Let -2*a**4/3 + 8*a**3 - 12*a**2 - 280*a/3 + 98 = 0. What is a?
-3, 1, 7
Find o such that -2*o**5/11 - 6*o**4/11 + 8*o**2/11 = 0.
-2, 0, 1
Let 4*p**4/9 - 260*p**3/3 + 38404*p**2/9 - 12028*p/3 - 75272/9 = 0. Calculate p.
-1, 2, 97
Solve -5*l**5/2 + 131*l**4/2 - 163*l**3 - 475*l**2 - 373*l/2 + 115/2 = 0 for l.
-1, 1/5, 5, 23
Factor 4*i**2 - 728*i + 724.
4*(i - 181)*(i - 1)
Determine l so that 675*l**3/7 - 495*l**2/7 - 24*l - 12/7 = 0.
-2/15, 1
Factor 25*w**2 - 120*w - 180.
5*(w - 6)*(5*w + 6)
Find k such that -4*k**2 + 4*k + 8 = 0.
-1, 2
What is a in -4*a**3 - 52*a**2 - 88*a = 0?
-11, -2, 0
Factor 3*o**2 + 4704*o + 1843968.
3*(o + 784)**2
Find x such that 6*x**2 - 130*x/3 + 28/3 = 0.
2/9, 7
Solve -3*p**2 - 147*p - 414 = 0.
-46, -3
Factor 578*o**2 - 7616*o/3 + 25088/9.
2*(51*o - 112)**2/9
Solve -3*i**2/4 + 393*i/2 - 51483/4 = 0.
131
Factor v**4/5 + 52*v**3/5 + 717*v**2/5 + 170*v - 1000.
(v - 2)*(v + 4)*(v + 25)**2/5
Determine k, given that 5*k**3 + 4040*k**2 + 832000*k + 6400000 = 0.
-400, -8
Find u such that -u**2 - 1074*u - 288369 = 0.
-537
Find l, given that 2*l**3/9 - 40*l**2/3 - 82*l/3 - 124/9 = 0.
-1, 62
Factor v**3/7 + 16*v**2/7 + 64*v/7.
v*(v + 8)**2/7
Determine m so that m**4 - 3*m**2 + 2*m = 0.
-2, 0, 1
Determine w so that -5*w**4 - 20*w**3 + 230*w**2 + 20*w - 225 = 0.
-9, -1, 1, 5
Factor 7*x**3/4 - 87*x**2/4 - 75*x/2 - 14.
(x - 14)*(x + 1)*(7*x + 4)/4
Factor -2*n**3/23 - 164*n**2/23 - 478*n/23 - 316/23.
-2*(n + 1)*(n + 2)*(n + 79)/23
Factor -a**2 + 28*a - 27.
-(a - 27)*(a - 1)
Factor h**5 - 518*h**4 + 66560*h**3 + 135200*h**2.
h**2*(h - 260)**2*(h + 2)
Factor 9*f**3/4 - 15*f**2 + 33*f/4 + 9/2.
3*(f - 6)*(f - 1)*(3*f + 1)/4
Suppose -3*l**3/4 - 21*l**2/4 - 45*l/4 - 27/4 = 0. What is l?
-3, -1
Factor 2*b**3 - 4344*b**2 + 8682*b - 4340.
2*(b - 2170)*(b - 1)**2
Solve -3*n**3/2 + 11*n**2/4 + 7*n - 13 = 0.
-13/6, 2
Factor p**2/3 + 65*p/3 + 62.
(p + 3)*(p + 62)/3
Suppose -2*g**2/5 + 216*g/5 - 5832/5 = 0. What is g?
54
Solve -f**4/3 - f**3 + 5*f**2/3 + f - 4/3 = 0 for f.
-4, -1, 1
What is t in -15*t**4/4