*(5*m + 2)
Factor 2*s**2/15 + 26*s/15 - 28/15.
2*(s - 1)*(s + 14)/15
Solve -47524*g**2 + 2616*g - 36 = 0.
3/109
Suppose -4*j**3/5 - 44*j**2/5 - 76*j/5 - 36/5 = 0. Calculate j.
-9, -1
Determine f so that -f**5/2 - f**4/2 + 17*f**3/2 - 19*f**2/2 - 8*f + 10 = 0.
-5, -1, 1, 2
Factor -z**3 + 105*z**2 + 436*z.
-z*(z - 109)*(z + 4)
Let v**2/2 + 13*v/2 - 15 = 0. Calculate v.
-15, 2
Factor 2*o**2/3 - 3796*o/3.
2*o*(o - 1898)/3
Let p**3 - 5*p**2 - 92*p - 156 = 0. What is p?
-6, -2, 13
Factor 4*x**2 - 104*x + 676.
4*(x - 13)**2
Let -2*f**2/3 + 256*f/3 = 0. What is f?
0, 128
Factor -o**2/10 + 4*o - 231/10.
-(o - 33)*(o - 7)/10
What is b in 4*b**3 - 156*b**2 + 1404*b + 1564 = 0?
-1, 17, 23
What is p in -2*p**5/3 + 10*p**4/3 + 22*p**3 + 62*p**2/3 - 64*p/3 - 24 = 0?
-2, -1, 1, 9
Determine y, given that -y**5/4 - 17*y**4/4 - 39*y**3/2 - 23*y**2/2 + 79*y/4 + 63/4 = 0.
-9, -7, -1, 1
Factor -5*l**2 - 65*l - 60.
-5*(l + 1)*(l + 12)
Determine o, given that -o**3 + 30*o**2 + 31*o = 0.
-1, 0, 31
Factor 3*a**2 - 9*a - 30.
3*(a - 5)*(a + 2)
Factor 3*z**4/5 + 3156*z**3/5 + 221760*z**2 + 26166000*z + 51450000.
3*(z + 2)*(z + 350)**3/5
Determine i, given that -3*i**2 - 72*i - 285 = 0.
-19, -5
Factor -2*w**5/5 - 32*w**4/5 - 188*w**3/5 - 96*w**2 - 90*w.
-2*w*(w + 3)**2*(w + 5)**2/5
Factor -4*s**2 + 672*s - 1328.
-4*(s - 166)*(s - 2)
Let 4*b**2 + 224*b + 636 = 0. Calculate b.
-53, -3
Determine y so that -y**4/5 + 2*y**3/5 + 12*y**2/5 + 14*y/5 + 1 = 0.
-1, 5
Factor -5*w**3 - 15*w**2 + 20*w + 60.
-5*(w - 2)*(w + 2)*(w + 3)
Factor -m**2 + 43*m/8 - 15/8.
-(m - 5)*(8*m - 3)/8
Factor -4*t**3 + 92*t**2 - 80*t - 176.
-4*(t - 22)*(t - 2)*(t + 1)
Suppose 5*j**4 + 15*j**3 - 5*j**2 - 15*j = 0. What is j?
-3, -1, 0, 1
What is p in -6*p**5/7 - 4*p**4/7 + 18*p**3/7 - 8*p/7 = 0?
-2, -2/3, 0, 1
Factor -f**2/2 - 3*f + 27/2.
-(f - 3)*(f + 9)/2
Factor -r**3 - 63*r**2 - 891*r + 3267.
-(r - 3)*(r + 33)**2
Factor -51*q**2 + 1944*q - 228.
-3*(q - 38)*(17*q - 2)
Factor 4*b**4 + 12*b**3 - 12*b**2 - 44*b - 24.
4*(b - 2)*(b + 1)**2*(b + 3)
Factor -l**4/3 + 2*l**3 - 8*l**2/3.
-l**2*(l - 4)*(l - 2)/3
Factor w**3 + 97*w**2 + 1482*w.
w*(w + 19)*(w + 78)
Factor x**2 - 65*x - 66.
(x - 66)*(x + 1)
Let -2*q**4/15 - 4*q**3/5 + 226*q**2/15 + 4*q/5 - 224/15 = 0. What is q?
-14, -1, 1, 8
Suppose -55*u**4 + 400*u**3 - 930*u**2 + 720*u - 135 = 0. Calculate u.
3/11, 1, 3
Let -m**5 + 2*m**4 + m**3 - 2*m**2 = 0. What is m?
-1, 0, 1, 2
Let -3*o**4 - 537*o**3 - 1593*o**2 - 1587*o - 528 = 0. Calculate o.
-176, -1
Factor 3*h**3/2 + 1257*h**2 + 526683*h/2.
3*h*(h + 419)**2/2
Factor -2*g**2/3 - 32*g/3.
-2*g*(g + 16)/3
Factor 3*m**4/4 - 21*m**3/4 + 45*m**2/4 - 27*m/4.
3*m*(m - 3)**2*(m - 1)/4
Let 3*o**5/2 + 14*o**4 - 94*o**3 + 56*o**2 = 0. Calculate o.
-14, 0, 2/3, 4
Suppose -18*l**5/7 - 6*l**4 + 142*l**3/7 + 66*l**2/7 - 12*l + 16/7 = 0. What is l?
-4, -1, 1/3, 2
Factor 63*g**3 - 14395*g**2 - 7324*g - 916.
(g - 229)*(7*g + 2)*(9*g + 2)
Factor 2*i**5/5 - 18*i**4/5 - 66*i**3/5 - 14*i**2 - 24*i/5.
2*i*(i - 12)*(i + 1)**3/5
Determine v, given that v**5/3 - 7*v**4/3 - 40*v**3/3 - 44*v**2/3 = 0.
-2, 0, 11
Factor l**2/2 + 199*l/4.
l*(2*l + 199)/4
Factor -c**3 - 216*c**2 - 15552*c - 373248.
-(c + 72)**3
Find u, given that u**5/10 + 4*u**4/5 + 11*u**3/5 + 12*u**2/5 + 9*u/10 = 0.
-3, -1, 0
Factor -l**4/5 - 6*l**3 - 45*l**2.
-l**2*(l + 15)**2/5
Suppose -2*f**2/9 + 14*f/9 = 0. What is f?
0, 7
Solve -14*b**5/15 + 256*b**4/15 - 1234*b**3/15 + 2264*b**2/15 - 104*b + 96/5 = 0 for b.
2/7, 1, 2, 3, 12
Solve 24*t**5/5 + 146*t**4/5 - 638*t**3/5 - 66*t**2/5 + 54*t/5 = 0 for t.
-9, -1/3, 0, 1/4, 3
Determine b, given that -2*b**5/5 - 4*b**4/5 + 4*b**2/5 + 2*b/5 = 0.
-1, 0, 1
Factor 2*p**2/3 + 8*p/3 - 3034/3.
2*(p - 37)*(p + 41)/3
Factor 3*j**2/2 + 18*j - 135/2.
3*(j - 3)*(j + 15)/2
Let -5*r**4 - 35*r**3 - 55*r**2 + 35*r + 60 = 0. Calculate r.
-4, -3, -1, 1
Find i, given that -4*i**2 - 464*i - 13456 = 0.
-58
Factor -4*z**3 + 728*z**2 - 33124*z.
-4*z*(z - 91)**2
Factor 3*z**4 + 87*z**3 + 204*z**2 - 780*z.
3*z*(z - 2)*(z + 5)*(z + 26)
Let 4*i**4/5 + 18*i**3/5 - 36*i**2/5 + 2*i/5 + 12/5 = 0. What is i?
-6, -1/2, 1
Factor -3*b**3 + 55*b**2 - 68*b.
-b*(b - 17)*(3*b - 4)
Find q, given that 6*q**4 + 2*q**3 - 28*q**2 - 8*q + 16 = 0.
-2, -1, 2/3, 2
Find u, given that u**4/3 - 8*u**3/3 - 355*u**2/3 - 682*u/3 - 112 = 0.
-14, -1, 24
Find m, given that -15*m**4/8 + 7*m**3/4 + 61*m**2/8 - 7*m - 1/2 = 0.
-2, -1/15, 1, 2
Factor p**3/5 - 12*p**2/5 + 9*p - 10.
(p - 5)**2*(p - 2)/5
Suppose -1596*a**5 - 776*a**4 + 6624*a**3 + 3136*a**2 - 960*a - 128 = 0. Calculate a.
-2, -2/3, -2/19, 2/7, 2
Let 5*d**3 - 35*d**2 + 50*d = 0. What is d?
0, 2, 5
Factor -27*s**2 + 102*s - 63.
-3*(s - 3)*(9*s - 7)
Determine p so that -p**4/3 - 5*p**3/3 + 6*p**2 + 20*p/3 - 56/3 = 0.
-7, -2, 2
Determine f, given that -4*f**5 + 8*f**4 + 52*f**3 + 40*f**2 = 0.
-2, -1, 0, 5
Suppose -4*x**5 + 240*x**4 + 2848*x**3 - 3320*x**2 - 2844*x + 3080 = 0. What is x?
-11, -1, 1, 70
Factor 21*a**2 - 99*a - 30.
3*(a - 5)*(7*a + 2)
Factor -5*n**4 + 1202*n**3 + 1940*n**2 - 968*n.
-n*(n - 242)*(n + 2)*(5*n - 2)
Let -t**3/3 - 11*t**2/3 - 34*t/3 - 8 = 0. Calculate t.
-6, -4, -1
Factor 5*m**4 - 515*m**3 - 15*m**2 + 1535*m + 1030.
5*(m - 103)*(m - 2)*(m + 1)**2
Factor -50*s**5 + 870*s**4 - 2292*s**3 - 12596*s**2 - 14586*s - 5202.
-2*(s + 1)**3*(5*s - 51)**2
Factor -4*o**4 - 236*o**3 + 736*o**2 - 496*o.
-4*o*(o - 2)*(o - 1)*(o + 62)
Solve -14*w**5/5 + 2048*w**4/5 + 1502*w**3/5 - 4712*w**2/5 + 1176*w/5 = 0 for w.
-2, 0, 2/7, 1, 147
Factor r**2/4 - 5*r - 21/4.
(r - 21)*(r + 1)/4
Solve b**4 - 578*b**3 = 0.
0, 578
What is d in -2*d**2 + 1288*d - 207368 = 0?
322
Factor 3*o**4/5 - 156*o**3/5 + 864*o**2/5 - 336*o + 1104/5.
3*(o - 46)*(o - 2)**3/5
Suppose -3*a**5/5 + 9*a**4/5 + 9*a**3/5 - 33*a**2/5 + 18*a/5 = 0. What is a?
-2, 0, 1, 3
Factor 4*x**4/3 + 28*x**3 - 196*x**2/3 - 92*x.
4*x*(x - 3)*(x + 1)*(x + 23)/3
Solve c**3 + 457*c**2 + 52440*c + 51984 = 0.
-228, -1
Determine y so that -2*y**5 + 26*y**4 - 108*y**3 + 184*y**2 - 112*y = 0.
0, 2, 7
Determine v so that -6*v**3/11 + 2284*v**2/11 - 1520*v/11 = 0.
0, 2/3, 380
Factor n**2/2 + 3365*n + 11323225/2.
(n + 3365)**2/2
Determine g, given that -25947*g**3/5 + 27063*g**2/5 - 1128*g/5 + 12/5 = 0.
2/93, 1
Determine q, given that -2*q**2/15 - 94*q/15 + 336/5 = 0.
-56, 9
Solve -5*v**4 - 430*v**3 + 1800*v**2 = 0.
-90, 0, 4
Find m, given that -5*m**4 - 5*m**3 = 0.
-1, 0
Factor -33*t**2 + 414*t - 945.
-3*(t - 3)*(11*t - 105)
Factor j**2/2 + 4385*j + 19228225/2.
(j + 4385)**2/2
Determine l so that 21*l**4/2 - 279*l**3/2 + 39*l**2 = 0.
0, 2/7, 13
Determine a, given that 2*a**3/9 - 22*a**2 + 702*a - 7098 = 0.
21, 39
Find u such that -10*u**4/3 - 184*u**3/3 - 224*u**2 + 1760*u/3 + 800/3 = 0.
-10, -2/5, 2
Factor -d**3 - 14*d**2 + 215*d - 600.
-(d - 5)**2*(d + 24)
Find x such that -x**4/9 - 1376*x**3/9 - 474718*x**2/9 - 315104*x/3 - 52441 = 0.
-687, -1
Factor j**3/2 - 10*j**2 + 66*j - 144.
(j - 8)*(j - 6)**2/2
Factor -j**4 - 90*j**3 - 1833*j**2 + 8836*j.
-j*(j - 4)*(j + 47)**2
What is o in -3*o**5/5 - 24*o**4/5 - 18*o**3/5 + 24*o**2 - 15*o = 0?
-5, 0, 1
Solve h**2 - 184*h + 895 = 0 for h.
5, 179
Factor 2*w**3/3 + 8518*w**2/3 + 3021760*w - 3024600.
2*(w - 1)*(w + 2130)**2/3
Factor -4*j**4/3 + 4*j**3 + 20*j**2 + 68*j/3 + 8.
-4*(j - 6)*(j + 1)**3/3
Let d**5 - 25*d**4 + 142*d**3 - 94*d**2 - 143*d + 119 = 0. Calculate d.
-1, 1, 7, 17
Determine z, given that 7*z**3/3 + 10*z**2 + 29*z/3 + 2 = 0.
-3, -1, -2/7
Factor -5*o**2 + 1105*o + 10350.
-5*(o - 230)*(o + 9)
Determine d so that 2*d**3/11 - 424*d**2/11 - 4390*d/11 - 11100/11 = 0.
-5, 222
Let -4*h**3 + 72*h**2 - 108*h - 1080 = 0. Calculate h.
-3, 6, 15
Find m, given that 3*m**3 - 1335*m**2 - 5388*m = 0.
-4, 0, 449
Factor -7*y**2/4 + 33*y/4 + 5/2.
-(y - 5)*(7*y + 2)/4
Find m such that -2*m**5 - 18*m**4 - 10*m**3 + 58*m**2 + 84*m + 32 = 0.
-8, -1, 2
Solve -2*n**3/9 - 1246*n**2/9 - 194686*n/9 - 193442/9 = 0 for n.
-311, -1
Factor 3*h**5 - 996*h**4 + 83658*h**3 - 164340*h**2 + 81675*h.
3*h*(h - 165)**2*(h - 1)**2
What is s in s**4/9 + 5*s**3/9 + 7*s**2/9 + s/3 = 0?
-3, -1, 0
Find p such that 2*p**5/7 - 8*p**4 - 14*p**3 + 1160*p**2/7 = 0.
-5, 0, 4, 29
Solve -3*v**4/2 - 545*v**3 - 49322*v**2 + 33124*v = 0.
-182, 0, 2/3
Suppose -m**5/4 - 9*m**4/2 