hat 25*g**2/2 + 5*g/2 - 10 = 0.
-1, 4/5
Determine q so that -4*q**2 - 64*q - 256 = 0.
-8
Factor a**3/6 - a**2/2 + a/2 - 1/6.
(a - 1)**3/6
Factor -2*n**2/19 - 5228*n/19 - 3416498/19.
-2*(n + 1307)**2/19
Factor -5*h**3/3 + 17395*h**2/3 + 69640*h/3 + 23220.
-5*(h - 3483)*(h + 2)**2/3
Factor 3*a**2/5 - 231*a/5 + 876/5.
3*(a - 73)*(a - 4)/5
Factor 35*g**4 + 10*g**3 - 105*g**2 + 40*g + 20.
5*(g - 1)**2*(g + 2)*(7*g + 2)
Suppose -10*m**5 + 76*m**4 - 118*m**3 - 140*m**2 + 128*m + 64 = 0. What is m?
-1, -2/5, 1, 4
Solve -5*f**5 - 30*f**4 - 25*f**3 + 60*f**2 = 0.
-4, -3, 0, 1
Solve 4*l**4 - 68*l**3 - 4*l**2 + 68*l = 0.
-1, 0, 1, 17
Suppose 3*c**3/5 + 108*c**2/5 + 369*c/5 - 96 = 0. Calculate c.
-32, -5, 1
What is d in 5*d**2 - 20*d = 0?
0, 4
Determine a, given that 10*a**5 - 55*a**4 + 20*a**3 + 145*a**2 + 60*a = 0.
-1, -1/2, 0, 3, 4
Solve -2*y**3 + 16*y**2 + 40*y = 0 for y.
-2, 0, 10
Factor -9*w**3 - 942*w**2 + 1269*w - 318.
-3*(w - 1)*(w + 106)*(3*w - 1)
Factor 64*g**3 + 32*g**2 + 4*g.
4*g*(4*g + 1)**2
Factor -4*s**2/5 - 4*s/5.
-4*s*(s + 1)/5
Factor p**3/3 - 32*p**2/3 + 29*p.
p*(p - 29)*(p - 3)/3
Find x, given that -3*x**4 - 9732*x**3 - 7892652*x**2 = 0.
-1622, 0
Let -2*r**4 - 4*r**3 + 6*r**2 = 0. What is r?
-3, 0, 1
Factor -2*j**2/5 + 276*j/5 + 278/5.
-2*(j - 139)*(j + 1)/5
Find d, given that 4*d**2 - 4*d - 24 = 0.
-2, 3
Suppose -147*x**4 - 7119*x**3 - 2952*x**2 + 3444*x - 576 = 0. Calculate x.
-48, -1, 2/7
Determine s so that -3*s**4 + 543*s**3 - 3177*s**2 + 4737*s - 2100 = 0.
1, 4, 175
Factor 5*r**3 + 20*r**2 + 5*r - 30.
5*(r - 1)*(r + 2)*(r + 3)
What is k in -6*k**5 + 123*k**4 - 528*k**3 - 1089*k**2 = 0?
-3/2, 0, 11
Determine w, given that -w**4/11 - 59*w**3/11 - 1003*w**2/11 - 351*w - 2916/11 = 0.
-27, -4, -1
Solve m**2 - 1697*m = 0.
0, 1697
Let -6*s**3 - 1184*s**2/3 + 2680*s - 576 = 0. Calculate s.
-72, 2/9, 6
Factor 5*g**3 + 415*g**2 - 5*g - 415.
5*(g - 1)*(g + 1)*(g + 83)
Factor -i**4/4 - 7*i**3/2 - 12*i**2 + 7*i/2 + 49/4.
-(i - 1)*(i + 1)*(i + 7)**2/4
Let -6*f**3 - 1335*f**2 - 657*f + 1998 = 0. What is f?
-222, -3/2, 1
Suppose -5*k**3 + 75*k**2 - 180*k = 0. What is k?
0, 3, 12
Factor 2*q**5 - 8*q**4 + 10*q**3 - 4*q**2.
2*q**2*(q - 2)*(q - 1)**2
Factor 7*z**5 - 2*z**4 - 21*z**3 + 20*z**2 - 4*z.
z*(z - 1)**2*(z + 2)*(7*z - 2)
Factor -8*y**4/7 + 886*y**3/7 - 4662*y**2 + 397010*y/7 + 101306/7.
-2*(y - 37)**3*(4*y + 1)/7
Factor 5*c**4 + 40*c**3 - 495*c**2 - 3510*c - 5400.
5*(c - 10)*(c + 3)**2*(c + 12)
Factor o**3 - 3*o + 2.
(o - 1)**2*(o + 2)
Determine q, given that q**4 + 309*q**3 + 23715*q**2 - 24025*q = 0.
-155, 0, 1
Factor b**2/5 - 17*b/5 + 6.
(b - 15)*(b - 2)/5
Find l such that 2*l**5 - 54*l**4 + 390*l**3 - 338*l**2 = 0.
0, 1, 13
Suppose 535*u**3/6 - 505*u**2/6 - 5*u = 0. Calculate u.
-6/107, 0, 1
What is b in -26*b**3 - 908*b**2 + 70*b = 0?
-35, 0, 1/13
Determine j so that -5*j**5 - 65*j**4 - 285*j**3 - 475*j**2 - 250*j = 0.
-5, -2, -1, 0
Determine y, given that -5*y**4 + 93*y**3 - 219*y**2 + 179*y - 48 = 0.
3/5, 1, 16
Determine n, given that -10*n**3/3 + 416*n**2/3 - 242*n/3 - 164/3 = 0.
-2/5, 1, 41
Factor -5*p**2 + 675*p + 680.
-5*(p - 136)*(p + 1)
Suppose 24*m**4/7 + 52*m**3/7 + 32*m**2/7 + 4*m/7 = 0. What is m?
-1, -1/6, 0
Factor -5*f**2 + 85*f - 260.
-5*(f - 13)*(f - 4)
Determine d so that -2*d**4 - 14*d**3 - 16*d**2 + 56*d + 96 = 0.
-4, -3, -2, 2
Factor r**4 + 20*r**3 + 148*r**2 + 480*r + 576.
(r + 4)**2*(r + 6)**2
Let 12*j**2 - 447*j + 111 = 0. Calculate j.
1/4, 37
Solve a**2 + 259*a + 258 = 0 for a.
-258, -1
Determine k, given that 6*k**4/7 + 132*k**3/7 + 90*k**2/7 - 108*k = 0.
-21, -3, 0, 2
Solve -3*n**2 + 30*n - 48 = 0 for n.
2, 8
Solve 9*y**4 - 33*y**3 + 33*y**2 - 3*y - 6 = 0.
-1/3, 1, 2
Determine s so that 2*s**3 - 10*s**2 - 26*s - 14 = 0.
-1, 7
Find d such that -3*d**3 + 12*d**2 + 327*d + 312 = 0.
-8, -1, 13
Factor 5*c**3/2 + 55*c**2/2 - 415*c + 700.
5*(c - 7)*(c - 2)*(c + 20)/2
Find p such that -3*p**5/2 - 3*p**4 + 21*p**3/2 - 6*p**2 = 0.
-4, 0, 1
Factor r**4/8 + r**3/8 - 3*r**2/2.
r**2*(r - 3)*(r + 4)/8
Find i, given that 2*i**2 + 8*i + 6 = 0.
-3, -1
Factor 2*k**3/3 - 8*k**2 + 14*k + 196/3.
2*(k - 7)**2*(k + 2)/3
Let -v**5 - 42*v**4 - 441*v**3 = 0. Calculate v.
-21, 0
Solve -58*f**3/3 - 238*f**2/3 - 256*f/3 - 8 = 0.
-2, -3/29
Determine d, given that 2*d**5/11 - 10*d**4/11 - 2*d**3 + 146*d**2/11 - 196*d/11 + 80/11 = 0.
-4, 1, 2, 5
Factor -w**2/8 - 741*w/8 - 460.
-(w + 5)*(w + 736)/8
Factor 4*u**3 + 1052*u**2 - 4256*u + 4272.
4*(u - 2)**2*(u + 267)
Find b, given that -10*b**5 - 8*b**4 + 62*b**3 - 12*b**2 = 0.
-3, 0, 1/5, 2
Determine t so that -28*t**5 + 244*t**4 - 124*t**3 - 308*t**2 + 152*t + 64 = 0.
-1, -2/7, 1, 8
Let -b**3 + 554*b**2 + b - 554 = 0. Calculate b.
-1, 1, 554
Solve 3*x**3/4 - 533*x**2/4 - 89*x/2 = 0.
-1/3, 0, 178
Solve 2*j**3 - 12*j**2 - 50*j - 36 = 0.
-2, -1, 9
Suppose -2*c**2/7 + 36*c/7 - 162/7 = 0. What is c?
9
Factor -3*q**4/4 - 435*q**3/4 - 19737*q**2/4 - 210681*q/4 + 795906.
-3*(q - 8)*(q + 51)**3/4
Factor 3*n**4 - 13*n**3/2 + 4*n**2 - n/2.
n*(n - 1)**2*(6*n - 1)/2
Factor -i**4 + 13*i**3 + 38*i**2 - 120*i.
-i*(i - 15)*(i - 2)*(i + 4)
Factor -10*k**2/13 + 804*k/13 - 320/13.
-2*(k - 80)*(5*k - 2)/13
Factor 36*m**5 - 48*m**4 + 13*m**3 - m**2.
m**2*(m - 1)*(6*m - 1)**2
Factor q**2/7 - 50*q/7 + 96/7.
(q - 48)*(q - 2)/7
Factor 2*k**4/15 - 2452*k**3/15 + 251328*k**2/5 - 499392*k/5.
2*k*(k - 612)**2*(k - 2)/15
Factor -c**2 - 11*c + 42.
-(c - 3)*(c + 14)
Determine t so that 9*t**2 - 12*t - 21 = 0.
-1, 7/3
Factor -g**4/6 - 25*g**3/3 - 143*g**2/6 - 47*g/3.
-g*(g + 1)*(g + 2)*(g + 47)/6
Factor -2*d**4 - 28*d**3 - 26*d**2.
-2*d**2*(d + 1)*(d + 13)
What is k in -k**2 + 724*k - 131044 = 0?
362
Factor 30*g**2/11 + 1024*g/11 + 136/11.
2*(g + 34)*(15*g + 2)/11
Suppose -h**5/2 - h**4 + h**3/2 + h**2 = 0. Calculate h.
-2, -1, 0, 1
Factor 2*y**3/9 - 44*y**2/3 + 130*y/9.
2*y*(y - 65)*(y - 1)/9
What is r in 3*r**2 - 219*r + 3600 = 0?
25, 48
Determine j so that 3*j**5 + 9*j**4 + 6*j**3 - 6*j**2 - 9*j - 3 = 0.
-1, 1
Factor 4*o**3 - 42*o**2 - 46*o.
2*o*(o + 1)*(2*o - 23)
Factor -h**2 + 1290*h.
-h*(h - 1290)
What is f in 4*f**2 + 26684*f - 26688 = 0?
-6672, 1
Solve g**2 + 24*g = 0.
-24, 0
What is o in o**3/5 - 2*o**2 - 88*o/5 - 128/5 = 0?
-4, -2, 16
Suppose 2*d**5/15 + 10*d**4/3 + 12*d**3 + 52*d**2/3 + 34*d/3 + 14/5 = 0. Calculate d.
-21, -1
Factor 4*h**2 - 588*h + 1728.
4*(h - 144)*(h - 3)
Find p, given that 3*p**2 - 54*p + 195 = 0.
5, 13
Factor -10*n**2 + 145*n/3 + 25/3.
-5*(n - 5)*(6*n + 1)/3
Factor -i**4 - 3*i**3.
-i**3*(i + 3)
Factor c**3/2 - 7*c/2 + 3.
(c - 2)*(c - 1)*(c + 3)/2
Factor -5*v**4 - 360*v**3 - 7470*v**2 - 35640*v - 49005.
-5*(v + 3)**2*(v + 33)**2
Factor -b**4/6 - 17*b**3/3 + 18*b**2 - 55*b/3 + 37/6.
-(b - 1)**3*(b + 37)/6
Factor d**3/4 + 175*d**2/4 + 129*d.
d*(d + 3)*(d + 172)/4
Solve -12*h**5 - 51*h**4/5 + 3*h**3 + 6*h**2/5 = 0.
-1, -1/4, 0, 2/5
Solve -2*y**5/15 + 4*y**4/5 + 128*y**3/15 + 64*y**2/5 = 0 for y.
-4, -2, 0, 12
Factor 4*x**4/3 + 7*x**3/3 - 130*x**2/3 - 352*x/3 + 32.
(x - 6)*(x + 4)**2*(4*x - 1)/3
What is v in 28*v**5 - 6*v**4 - 228*v**3 - 106*v**2 + 240*v + 72 = 0?
-2, -3/2, -2/7, 1, 3
Factor -5*k**2 - 420*k - 8820.
-5*(k + 42)**2
Let a**2/3 - 2*a - 7/3 = 0. What is a?
-1, 7
What is a in -4*a**2/9 - 8*a/3 + 220/9 = 0?
-11, 5
Factor 3*v**4 + 57*v**3 + 279*v**2 - 81*v - 1458.
3*(v - 2)*(v + 3)*(v + 9)**2
Factor -5*w**3 - 750*w**2 - 27360*w + 57760.
-5*(w - 2)*(w + 76)**2
What is k in k**5 + 97*k**4 - 713*k**3 + 1551*k**2 - 936*k = 0?
-104, 0, 1, 3
Determine y so that y**5/4 - 1039*y**4/4 = 0.
0, 1039
Solve 3*i**5 - 18*i**4 - 21*i**3 = 0.
-1, 0, 7
Find u, given that 2*u**3/17 + 6*u**2/17 - 36*u/17 = 0.
-6, 0, 3
Factor -y**2/6 - 25*y/6.
-y*(y + 25)/6
Let -8*c**4 + 30*c**3 + 45*c**2 - 85*c + 18 = 0. What is c?
-2, 1/4, 1, 9/2
Factor -2*i**2 - 182*i + 1800.
-2*(i - 9)*(i + 100)
Factor -2*j**4/5 + 12*j**3/5 - 18*j**2/5 + 8*j/5.
-2*j*(j - 4)*(j - 1)**2/5
Factor -4*r**3/9 - 124*r**2/9 + 16*r/9 + 496/9.
-4*(r - 2)*(r + 2)*(r + 31)/9
Let 5*y**3 - 4875*y**2 + 1190715*y - 1185845 = 0. Calculate y.
1, 487
Find r such that -3*r**4 - 15*r**3 - 12*r**2 = 0.
-4, -1, 0
Determine b, given that 147*b**5/2 + 1512*b**4 + 8196*b**3 + 4320*b**2 + 600*b = 0.
-10, -2/7, 0
Find v, given that -5*v**5/4 + 71*v**4/2 - 811*v**3/4