actor o**2/6 - 1/6.
(o - 1)*(o + 1)/6
Factor -b**2 + 37*b.
-b*(b - 37)
Determine r, given that -36*r**3 - 292*r**2 + 688*r + 80 = 0.
-10, -1/9, 2
Factor t**5 + 19*t**4 + 92*t**3 + 80*t**2 - 192*t.
t*(t - 1)*(t + 4)**2*(t + 12)
Factor 4*g**4 - 16*g**3 - 40*g**2 + 112*g - 60.
4*(g - 5)*(g - 1)**2*(g + 3)
Find m, given that -2*m**2/13 - 132*m/13 - 2178/13 = 0.
-33
Suppose -75*t**5/4 + 255*t**4/2 - 747*t**3/4 - 132*t**2 + 165*t - 36 = 0. What is t?
-1, 2/5, 3, 4
Factor -x**3 + 3*x**2 + 105*x + 325.
-(x - 13)*(x + 5)**2
Let -2*l**4 + 374*l**3 - 2540*l**2 + 3600*l = 0. What is l?
0, 2, 5, 180
Factor -2*q**2/11 - 548*q/11 - 37538/11.
-2*(q + 137)**2/11
Factor 2*r**2/3 + 40*r/3 - 14.
2*(r - 1)*(r + 21)/3
Find m such that -3*m**3 + 3*m**2 + 6*m = 0.
-1, 0, 2
Factor -3*v**3/4 - 201*v**2/4 - 1989*v/4 + 50193/4.
-3*(v - 11)*(v + 39)**2/4
Suppose 5*a**2 - 90*a + 85 = 0. Calculate a.
1, 17
Factor -o**2/5 + 176*o/5 - 35.
-(o - 175)*(o - 1)/5
Determine z so that -441*z**5 - 2037*z**4 - 2907*z**3 - 1299*z**2 - 216*z - 12 = 0.
-2, -1/3, -1/7
Suppose 2*h**2/23 + 72*h/23 + 616/23 = 0. What is h?
-22, -14
Solve 5*v**3 + 25*v**2 + 35*v + 15 = 0.
-3, -1
Factor -r**3/5 - 57*r**2/5 - 254*r/5 + 312/5.
-(r - 1)*(r + 6)*(r + 52)/5
Find b such that b**4/2 + 13*b**3/2 + 27*b**2 + 46*b + 28 = 0.
-7, -2
Determine o, given that o**2/4 + 17*o/4 - 69/2 = 0.
-23, 6
Factor 2*h**2/13 - 1254*h/13 - 2516/13.
2*(h - 629)*(h + 2)/13
Factor -n**4/3 + 4*n**3 - 4*n**2 - 80*n/3.
-n*(n - 10)*(n - 4)*(n + 2)/3
Factor -t**2 - 449*t - 1780.
-(t + 4)*(t + 445)
Factor u**2 + 36*u - 76.
(u - 2)*(u + 38)
Factor b**5 - 4*b**4 + 3*b**3.
b**3*(b - 3)*(b - 1)
Let -2*y**3/3 + 19*y**2/3 - 17*y/3 = 0. Calculate y.
0, 1, 17/2
Determine a, given that -5*a**3/2 + 18*a**2 - 7*a/2 = 0.
0, 1/5, 7
Factor -2*j**2/5 + 14*j/5.
-2*j*(j - 7)/5
Let 4*u**5 - 12*u**4 + 8*u**3 = 0. What is u?
0, 1, 2
Let -5*c**3 - 1575*c**2 - 6240*c - 6220 = 0. Calculate c.
-311, -2
Factor 3*l**5/4 - 15*l**4/2 + 99*l**3/4 - 27*l**2.
3*l**2*(l - 4)*(l - 3)**2/4
Let -4*p**2 - 964*p + 968 = 0. Calculate p.
-242, 1
What is s in s**5/2 + 5*s**4 + 27*s**3/2 + 7*s**2 - 14*s - 12 = 0?
-6, -2, -1, 1
Factor -4*z**3 - 664*z**2 - 28208*z - 53792.
-4*(z + 2)*(z + 82)**2
Factor -4*w**3/3 - 352*w**2/3 + 1084*w/3 - 728/3.
-4*(w - 2)*(w - 1)*(w + 91)/3
Determine a, given that -a**3/2 + 13*a**2/4 - 17*a/4 - 3 = 0.
-1/2, 3, 4
Factor -4*a**3 - 72*a**2 - 60*a + 136.
-4*(a - 1)*(a + 2)*(a + 17)
Factor -4*g**2/5 + 1502*g/5 + 752/5.
-2*(g - 376)*(2*g + 1)/5
Solve -5*a**5 - 15*a**4 + 265*a**3 + 1275*a**2 + 1000*a = 0 for a.
-5, -1, 0, 8
Factor v**2/5 - 178*v/5.
v*(v - 178)/5
Factor 100*i**5/3 - 215*i**4/3 + 10*i**3.
5*i**3*(i - 2)*(20*i - 3)/3
Factor -v**2/6 + 3*v/2 - 7/3.
-(v - 7)*(v - 2)/6
Factor 4*q**2 - 21664*q - 21668.
4*(q - 5417)*(q + 1)
Solve 4*y**3/5 + 27*y**2/5 + 17*y/5 - 6/5 = 0 for y.
-6, -1, 1/4
What is u in -u**5 - u**4 + 12*u**3 = 0?
-4, 0, 3
What is j in 25*j**4 - 35*j**3 - 90*j**2 + 140*j - 40 = 0?
-2, 2/5, 1, 2
What is u in u**2/3 - 7*u/3 = 0?
0, 7
Factor 25*j**2 + 15*j - 10.
5*(j + 1)*(5*j - 2)
Factor m**4 - 2*m**3 - 3*m**2 + 8*m - 4.
(m - 2)*(m - 1)**2*(m + 2)
Suppose 2*z**2 + 20*z/11 - 2/11 = 0. What is z?
-1, 1/11
Factor -20*d**4 + 68*d**3 - 64*d**2 + 16*d.
-4*d*(d - 2)*(d - 1)*(5*d - 2)
Factor h**2/3 - 3860*h/3 + 3724900/3.
(h - 1930)**2/3
Suppose -20*d**4 - 1068*d**3 + 2936*d**2 + 1344*d = 0. What is d?
-56, -2/5, 0, 3
What is k in 2*k**3 - 12*k**2 - 50*k - 36 = 0?
-2, -1, 9
Find j, given that -2*j**3/3 + 196*j**2/3 - 1984*j + 19200 = 0.
24, 50
Determine l, given that -242*l**4 + 2750*l**3 - 6784*l**2 + 2200*l - 192 = 0.
2/11, 3, 8
Factor 5*o**2 - 1025*o - 2070.
5*(o - 207)*(o + 2)
Factor y**2/3 - 31*y/3.
y*(y - 31)/3
Solve -2*c**4/11 + 4*c**3/11 - 4*c/11 + 2/11 = 0 for c.
-1, 1
Determine q, given that q**2/4 + 39*q/4 - 10 = 0.
-40, 1
Factor 5*s**3 - 17*s**2 - 14*s + 8.
(s - 4)*(s + 1)*(5*s - 2)
Solve -5*x**2 + 350*x - 345 = 0 for x.
1, 69
Factor -5*r**3/2 - 3*r**2/2 + r.
-r*(r + 1)*(5*r - 2)/2
Factor 2*q**5/5 - 24*q**4/5 + 94*q**3/5 - 104*q**2/5 - 96*q/5 + 128/5.
2*(q - 4)**3*(q - 1)*(q + 1)/5
Factor g**5 + g**4 - 3*g**3 - g**2 + 2*g.
g*(g - 1)**2*(g + 1)*(g + 2)
Determine b so that 7*b**5 - 491*b**4/3 + 592*b**3 + 1592*b**2 - 2320*b/3 - 336 = 0.
-2, -2/7, 2/3, 7, 18
Factor 5*x**4 + 15*x**3.
5*x**3*(x + 3)
Factor 3*v**3/4 + 9*v**2/2 - 3*v/4 - 9/2.
3*(v - 1)*(v + 1)*(v + 6)/4
Factor -3*t**3 - 105*t**2 + 222*t.
-3*t*(t - 2)*(t + 37)
Let -4*q**2/7 + 524*q/7 - 520/7 = 0. What is q?
1, 130
Suppose -2*a**2/15 - 796*a/15 + 806/3 = 0. What is a?
-403, 5
Find c such that -25*c**4 + 4660*c**3 + 2865*c**2 - 11240*c + 3740 = 0.
-2, 2/5, 1, 187
Solve -2*y**5/7 + 2*y**4 - 30*y**3/7 + 10*y**2/7 + 32*y/7 - 24/7 = 0 for y.
-1, 1, 2, 3
Let -14*p**3/17 - 4316*p**2/17 - 5530*p/17 - 1228/17 = 0. Calculate p.
-307, -1, -2/7
Solve 12*k**5 + 45*k**4 - 48*k**3 - 111*k**2 + 126*k - 24 = 0.
-4, -2, 1/4, 1
Suppose -4*z**2 - 12*z + 112 = 0. What is z?
-7, 4
Suppose 2*a**2/3 - 256*a + 24576 = 0. What is a?
192
Factor 2*y**5 + 14*y**4 + 12*y**3 - 64*y**2 - 64*y.
2*y*(y - 2)*(y + 1)*(y + 4)**2
Factor 32*d**4/5 - 252*d**3 + 15288*d**2/5 - 38416*d/5 - 230496/5.
4*(d - 14)**3*(8*d + 21)/5
Find a such that -4*a**4 - 8*a**3 + 44*a**2 + 48*a = 0.
-4, -1, 0, 3
What is a in 2*a**2/3 + 3562*a/3 + 3560/3 = 0?
-1780, -1
Factor -o**2/8 - 283*o/2 - 1131/8.
-(o + 1)*(o + 1131)/8
Find a such that a**3 + 171*a**2 = 0.
-171, 0
Factor 6*v**4/7 - 216*v**3/7 + 2616*v**2/7 - 1728*v + 2688.
6*(v - 14)**2*(v - 4)**2/7
Suppose -10*d**5/3 + 44*d**4/3 + 30*d**3 + 12*d**2 = 0. What is d?
-1, -3/5, 0, 6
Suppose -162*q**2 - 17748*q - 486098 = 0. Calculate q.
-493/9
Suppose -700*f**5 - 3145*f**4 - 5585*f**3 - 4895*f**2 - 2115*f - 360 = 0. What is f?
-8/7, -1, -3/4, -3/5
Determine w so that w**3/4 - 55*w**2/2 + 109*w/4 = 0.
0, 1, 109
Suppose 20*h**3 - 124*h**2 + 24*h = 0. Calculate h.
0, 1/5, 6
Factor -4*a**3/5 + 5976*a**2/5 - 2388*a + 5968/5.
-4*(a - 1492)*(a - 1)**2/5
Solve j**5/5 - 12*j**3/5 + 2*j**2/5 + 27*j/5 - 18/5 = 0 for j.
-3, -2, 1, 3
Factor 4*w**5 + 48*w**4 + 192*w**3 + 256*w**2.
4*w**2*(w + 4)**3
Factor 6*d**2 - 238*d + 156.
2*(d - 39)*(3*d - 2)
Find u such that 3*u**2 - 252*u - 255 = 0.
-1, 85
Solve 46*i**3/3 + 10*i**2/3 = 0.
-5/23, 0
Suppose 28*k**2 + 11808*k - 3376 = 0. What is k?
-422, 2/7
Factor 5*c**3 - 780*c**2.
5*c**2*(c - 156)
Let 25*h**4 + 45*h**3 - 35*h**2 - 45*h + 10 = 0. Calculate h.
-2, -1, 1/5, 1
Find r such that 2*r**4 - 2*r**3 - 8*r**2 + 8*r = 0.
-2, 0, 1, 2
What is k in 4*k**4 - 348*k**3 - 1068*k**2 - 1076*k - 360 = 0?
-1, 90
Factor -4*p**4/9 - 88*p**3/9 + 188*p**2/9 - 32*p/3.
-4*p*(p - 1)**2*(p + 24)/9
Factor -5*j**3 + 4205*j**2 - 16760*j + 16740.
-5*(j - 837)*(j - 2)**2
Let -7*w**5 - 1038*w**4 + 5038*w**3 - 1752*w**2 - 10575*w - 2754 = 0. What is w?
-153, -1, -2/7, 3
Let -3*b**4/4 + 25*b**3/2 - 31*b**2 - 121*b/2 - 65/4 = 0. What is b?
-1, -1/3, 5, 13
What is y in 4*y**5/9 + 26*y**4/3 + 176*y**3/9 + 34*y**2/3 = 0?
-17, -3/2, -1, 0
Determine k, given that 556*k**2 + 548*k - 8 = 0.
-1, 2/139
Determine j, given that -j**2/2 + 29*j - 841/2 = 0.
29
Factor -m**5/11 + 4*m**4/11 - 4*m**3/11 - 2*m**2/11 + 5*m/11 - 2/11.
-(m - 2)*(m - 1)**3*(m + 1)/11
Factor -w**5/3 - 16*w**4/3 - 88*w**3/3 - 64*w**2 - 48*w.
-w*(w + 2)**2*(w + 6)**2/3
Factor -8*s**2 - 692*s - 344.
-4*(s + 86)*(2*s + 1)
Factor 5*h**3 + 65*h**2 + 260*h + 300.
5*(h + 2)*(h + 5)*(h + 6)
Solve 4*x**5 + 504*x**4 + 3376*x**3 + 5208*x**2 - 3380*x - 5712 = 0.
-119, -4, -3, -1, 1
Factor c**5 - 120*c**4 + 3597*c**3 + 358*c**2 - 10560*c - 7200.
(c - 60)**2*(c - 2)*(c + 1)**2
Let -2*a**2/13 + 218*a/13 - 216/13 = 0. What is a?
1, 108
Solve -f**2 + 33*f + 280 = 0 for f.
-7, 40
Find b, given that -2*b**2/5 - 4*b/5 + 6/5 = 0.
-3, 1
Factor -x**3/5 + 17*x**2/5 - 47*x/5 - 13.
-(x - 13)*(x - 5)*(x + 1)/5
Let 5*p**2 - 1385*p/2 - 695/2 = 0. Calculate p.
-1/2, 139
Factor z**5 - 48*z**4 + 621*z**3 - 1102*z**2 + 528*z.
z*(z - 24)*(z - 22)*(z - 1)**2
Factor 4*a**3 - 411*a**2 - 519*a - 104.
(a - 104)*(a + 1)*(4*a + 1)
Factor -z**2/4 + 287*z/4 + 72.
-(z - 288)*(z + 1)/4
Solve n**2/5 - 48*n/5 + 576/5 = 0 for n.
24
Solve -x**5/7 - 29*x**4/7 - 55*x**3/7 - 27*x**2/7 = 0 for x.
-27, -1, 0
Factor -5*c**3 + 25*c**2 - 20*c.
-5*c*(c - 4)*(c - 