3/5, 2
Suppose 2*q**2/9 - 12*q + 208/9 = 0. What is q?
2, 52
Factor -5*a**4 - 35*a**3 + 85*a**2 - 45*a.
-5*a*(a - 1)**2*(a + 9)
Factor 3*p**3/4 - 12*p**2 - 3*p/4 + 12.
3*(p - 16)*(p - 1)*(p + 1)/4
Factor s**3 - 71*s**2 + 316*s + 924.
(s - 66)*(s - 7)*(s + 2)
Factor 4*h**3/5 + 1224*h**2 + 624240*h + 106120800.
4*(h + 510)**3/5
Factor y**3/2 + 693*y**2/2 + 160083*y/2 + 12326391/2.
(y + 231)**3/2
Suppose 3*u**5 - 3*u**4 - 15*u**3 + 15*u**2 + 12*u - 12 = 0. What is u?
-2, -1, 1, 2
Find t such that -15*t**4 + 85*t**3 + 120*t**2 - 460*t - 480 = 0.
-2, -1, 8/3, 6
Factor 2*u**4 - 2*u**3 - 14*u**2 + 26*u - 12.
2*(u - 2)*(u - 1)**2*(u + 3)
What is l in -4*l**3 - 3504*l**2 = 0?
-876, 0
Find g such that -2*g**5/15 + 8*g**4/5 - 14*g**3/5 - 196*g**2/15 = 0.
-2, 0, 7
Let -4*h**5/3 + 14*h**4/3 - 4*h**3/3 - 2*h**2 = 0. What is h?
-1/2, 0, 1, 3
Determine n, given that 10*n**3 - 176*n**2/9 - 8*n/9 = 0.
-2/45, 0, 2
Factor 2*t**3/3 - 22*t**2/9 - 32*t/3 + 8.
2*(t - 6)*(t + 3)*(3*t - 2)/9
Factor -8*q**4/7 - 314*q**3/7 - 78*q**2/7.
-2*q**2*(q + 39)*(4*q + 1)/7
Factor 3*p**2 - 426*p + 15123.
3*(p - 71)**2
What is z in z**2/2 - z + 1/2 = 0?
1
Find t such that 3*t**2/8 - 39*t/4 + 18 = 0.
2, 24
Suppose 4*w**3 + 24*w**2 - 64*w = 0. Calculate w.
-8, 0, 2
Factor -2*i**3/13 + 64*i**2/13 - 62*i/13.
-2*i*(i - 31)*(i - 1)/13
Factor 3*y**3 - 435*y**2 - 438*y.
3*y*(y - 146)*(y + 1)
Solve 55*x**5 - 120*x**4 - 35*x**3 + 120*x**2 - 20*x = 0.
-1, 0, 2/11, 1, 2
Factor -4*t**2 + 2160*t.
-4*t*(t - 540)
Factor 3*c**5 + 18*c**4 + 36*c**3 + 24*c**2.
3*c**2*(c + 2)**3
What is n in -2*n**5/15 - 14*n**4/5 + 92*n**3/15 = 0?
-23, 0, 2
Suppose -2*a**5/19 + 20*a**4/19 - 18*a**3/19 = 0. What is a?
0, 1, 9
Suppose s**4 - 208*s**3 + 14490*s**2 - 342792*s + 328509 = 0. Calculate s.
1, 69
Solve -2*u**4 - 178*u**3 - 5220*u**2 - 48600*u + 54000 = 0.
-30, 1
Suppose 3*c**2 - 48*c + 144 = 0. Calculate c.
4, 12
Find p such that -4*p**5 + 388*p**4 - 9964*p**3 + 26508*p**2 = 0.
0, 3, 47
Find a, given that 6*a**5/5 + 2*a**4/5 - 18*a**3/5 - 18*a**2/5 - 4*a/5 = 0.
-1, -1/3, 0, 2
Factor -2*k**3/11 + 26*k/11 - 24/11.
-2*(k - 3)*(k - 1)*(k + 4)/11
Determine w, given that -w**5/9 + 2*w**3 - 4*w**2/9 - 19*w/3 - 4 = 0.
-4, -1, 3
Factor 2*x**2 - 42*x - 1292.
2*(x - 38)*(x + 17)
Factor 2*m**4/5 + 202*m**3/5 + 1386*m**2 + 84942*m/5 + 143748/5.
2*(m + 2)*(m + 33)**3/5
Suppose s**5/6 + 55*s**4/6 - 19*s**3 = 0. What is s?
-57, 0, 2
Solve -n**5/7 + 16*n**4/7 - 58*n**3/7 + 24*n**2/7 + 99*n/7 = 0.
-1, 0, 3, 11
Determine g, given that 50*g**4/9 - 580*g**3/9 - 182*g**2 - 584*g/9 - 56/9 = 0.
-2, -1/5, 14
Factor -2*b**4 - 186*b**3 - 6090*b**2 - 79054*b - 292668.
-2*(b + 6)*(b + 29)**3
Factor -4*u**3 - 96*u**2 - 336*u - 320.
-4*(u + 2)**2*(u + 20)
Factor n**3 + 34*n**2.
n**2*(n + 34)
Factor p**3/5 + 6*p**2/5 - 99*p/5 - 104/5.
(p - 8)*(p + 1)*(p + 13)/5
Suppose 75*x**5 + 470*x**4 + 1020*x**3 + 840*x**2 + 160*x = 0. Calculate x.
-2, -4/15, 0
What is f in 20*f**4 - 175*f**3 + 475*f**2 - 350*f - 120 = 0?
-1/4, 2, 3, 4
Factor 2*z**2/9 - 12808*z/9 + 20505608/9.
2*(z - 3202)**2/9
What is d in 2*d**2/7 - 88*d/7 + 390/7 = 0?
5, 39
Determine t, given that 4*t**3/9 + 14*t**2/9 - 136*t/3 = 0.
-12, 0, 17/2
Determine q so that -2*q**3/9 - 758*q**2/3 - 287282*q/3 - 108879878/9 = 0.
-379
Determine j so that -4*j**2 - 280*j + 576 = 0.
-72, 2
Factor -w**2/6 - 1373*w/6 + 229.
-(w - 1)*(w + 1374)/6
Factor -5*c**3 + 40*c**2 - 5*c - 210.
-5*(c - 7)*(c - 3)*(c + 2)
Let 2*k**5/11 + 76*k**4/11 + 146*k**3/11 + 72*k**2/11 = 0. What is k?
-36, -1, 0
Factor 3*l**2/7 - 603*l/7 + 3510/7.
3*(l - 195)*(l - 6)/7
Let -6*l**3 + 28*l**2 + 48*l = 0. What is l?
-4/3, 0, 6
Find u, given that 16*u**3 - 28*u**2 + 8*u + 4 = 0.
-1/4, 1
Solve 4*p**3 + 172*p**2 + 2432*p + 11264 = 0 for p.
-16, -11
Factor 9*p**3 - 42*p**2 + 39*p + 18.
3*(p - 3)*(p - 2)*(3*p + 1)
Let 2*w**2/17 + 36*w/17 = 0. Calculate w.
-18, 0
Factor -2*s**4/5 - 34*s**3/5 + 36*s**2 + 1160*s + 5200.
-2*(s - 13)*(s + 10)**3/5
Suppose 50653*s**3 + 53391*s**2 + 18759*s + 2197 = 0. What is s?
-13/37
What is a in -a**4 - 11*a**3 - 44*a**2 - 76*a - 48 = 0?
-4, -3, -2
Factor 5*n**2 + 345*n + 1890.
5*(n + 6)*(n + 63)
Find g, given that -205*g**5 + 195*g**4 + 420*g**3 + 20*g**2 = 0.
-1, -2/41, 0, 2
Determine n so that 3*n**3 - 174*n**2 + 495*n = 0.
0, 3, 55
Factor -4*f**2 - 388*f - 384.
-4*(f + 1)*(f + 96)
Factor -a**3/2 + 8*a**2 - 25*a/2 - 21.
-(a - 14)*(a - 3)*(a + 1)/2
Factor 4*g**3 - 3*g**2 - 49*g - 12.
(g - 4)*(g + 3)*(4*g + 1)
Factor 3*h**2/4 + h/8.
h*(6*h + 1)/8
What is u in -3*u**5/5 + 81*u**4/5 - 216*u**3/5 - 12*u**2/5 + 288*u/5 = 0?
-1, 0, 2, 24
Factor g**5/3 + 50*g**4/3 + 272*g**3 + 4046*g**2/3 - 4913*g/3.
g*(g - 1)*(g + 17)**3/3
What is l in l**5/5 + 144*l**4 + 128152*l**3/5 - 104256*l**2 + 524176*l/5 = 0?
-362, 0, 2
Factor 3*h**3/4 - 3*h**2 - 327*h/4 - 78.
3*(h - 13)*(h + 1)*(h + 8)/4
Suppose -y**4/5 + 3*y**3/5 + 8*y**2/5 - 12*y/5 - 16/5 = 0. Calculate y.
-2, -1, 2, 4
Find k, given that -15*k**4/4 - 3*k**3/2 + 285*k**2/4 - 84*k - 45 = 0.
-5, -2/5, 2, 3
Suppose -8*b**5 + 908*b**4 - 1344*b**3 - 4*b**2 + 448*b = 0. Calculate b.
-1/2, 0, 1, 112
Factor 3*g**2/5 - 9*g - 102/5.
3*(g - 17)*(g + 2)/5
Factor -6*r**2 + 376*r - 248.
-2*(r - 62)*(3*r - 2)
Determine j so that -121*j**3/3 - 473*j**2/3 + 208*j - 60 = 0.
-5, 6/11
Factor -3*m**4 - 300*m**3 + 1239*m**2 - 936*m.
-3*m*(m - 3)*(m - 1)*(m + 104)
Let -20*b**2 + 6476*b + 1296 = 0. Calculate b.
-1/5, 324
Determine j so that -2*j**3 - 20*j**2 + 46*j + 264 = 0.
-11, -3, 4
Factor 2112*v**3 - 3040*v**2/3 + 332*v/3 + 8/3.
4*(4*v - 1)**2*(99*v + 2)/3
Suppose -6*o**4 - 964*o**3 - 37070*o**2 + 133496*o - 40344 = 0. Calculate o.
-82, 1/3, 3
Find d, given that d**2 - 1894*d - 1895 = 0.
-1, 1895
Solve -14*r**5/13 - 446*r**4/13 - 3030*r**3/13 + 8534*r**2/13 - 1156*r/13 = 0 for r.
-17, 0, 1/7, 2
Suppose 2*a**2 - 98*a + 188 = 0. What is a?
2, 47
Factor -2*i**3/15 - 12*i**2.
-2*i**2*(i + 90)/15
Factor r**2/12 + 109*r/3 + 11881/3.
(r + 218)**2/12
Factor -11552*m**2/5 - 5784*m/5 - 4/5.
-4*(2*m + 1)*(1444*m + 1)/5
What is h in -h**4 - 529*h**3 - 528*h**2 = 0?
-528, -1, 0
Let 2*a**3/9 + 134*a**2/9 - 80*a = 0. Calculate a.
-72, 0, 5
Factor q**3/3 + 2*q**2 - 37*q/3 + 10.
(q - 3)*(q - 1)*(q + 10)/3
What is x in 3*x**2 - 57*x + 234 = 0?
6, 13
Find y, given that 5*y**4 + 20870*y**3 + 21756965*y**2 - 43576560*y + 21798720 = 0.
-2088, 1
Factor 4*p**2/5 + 8*p/5 - 32/5.
4*(p - 2)*(p + 4)/5
Find w such that 2*w**3/7 - 48*w**2/7 + 88*w/7 = 0.
0, 2, 22
Let 2*i**3/19 - 5306*i**2/19 + 3521856*i/19 - 3516552/19 = 0. Calculate i.
1, 1326
Determine w, given that -w**4 + w**3 + 7*w**2 - 13*w + 6 = 0.
-3, 1, 2
Factor -2*v**2/11 + 38*v/11 - 68/11.
-2*(v - 17)*(v - 2)/11
Solve -8*m**4/11 + 2914*m**3/11 - 271448*m**2/11 + 1104480*m/11 - 259200/11 = 0.
1/4, 4, 180
Suppose 20*j**5 - 88*j**4 - 68*j**3 + 760*j**2 - 1008*j + 288 = 0. What is j?
-3, 2/5, 2, 3
Find l such that -21*l**4/4 + 83*l**3/4 + 111*l**2/4 - 3*l/4 - 5/2 = 0.
-1, -1/3, 2/7, 5
Determine b so that -b**5 + 9*b**4 - 5*b**3 - 29*b**2 + 42*b - 16 = 0.
-2, 1, 8
Determine i so that 3*i**4/7 + 38*i**3/7 - 16*i**2/7 - 38*i/7 + 13/7 = 0.
-13, -1, 1/3, 1
Factor 3*q**2/5 - 102*q/5 + 867/5.
3*(q - 17)**2/5
Let 10*s**2 - 64*s + 512/5 = 0. What is s?
16/5
Factor 2*b**2/17 + 64*b/17 + 62/17.
2*(b + 1)*(b + 31)/17
Factor -g**5 + 2*g**4 + 3*g**3 - 8*g**2 + 4*g.
-g*(g - 2)*(g - 1)**2*(g + 2)
Determine x so that -3*x**2/7 + 123*x/7 = 0.
0, 41
Factor -4*t**3 + 600*t**2 - 22500*t.
-4*t*(t - 75)**2
Factor t**3 - 7*t + 6.
(t - 2)*(t - 1)*(t + 3)
Factor 4*v**2 - 40*v + 84.
4*(v - 7)*(v - 3)
Factor -b**4 + 9*b**3 - 25*b**2 + 27*b - 10.
-(b - 5)*(b - 2)*(b - 1)**2
Solve -4*y**4 + 20*y**3 - 28*y**2 + 12*y = 0.
0, 1, 3
Factor 4*t**2 - 696*t + 692.
4*(t - 173)*(t - 1)
Factor -5*v**2 + 490*v + 1000.
-5*(v - 100)*(v + 2)
Factor 3*s**2 - 1293*s/4 + 963/4.
3*(s - 107)*(4*s - 3)/4
Factor 3*q**3 - 114*q**2 - 768*q - 1056.
3*(q - 44)*(q + 2)*(q + 4)
Factor 22*x**3/5 + 1916*x**2/5 + 42742*x/5 + 44376/5.
2*(x + 43)**2*(11*x + 12)/5
Suppose -2*f**5/17 - 12*f**4/17 - 10*f**3/17 + 32*f**2/17 + 24*f/17 - 32/17 = 0. Calculate f.
-4, -2, 1
Determine x so that -3*x**2 + 117*x + 120 = 0.
-1, 40
Find b such that 35*b**4/2 + 881*b**3/3 - 3053*b**2/6 + 685*b/3 - 92/3 = 0.
-92/5, 2/7, 1/3