**2 + 1135*c - 5800 = 0.
-232, 5
Suppose -u**3/3 + 27*u**2 = 0. Calculate u.
0, 81
Let -2*g**3/15 - 4*g**2/15 = 0. Calculate g.
-2, 0
Solve -6*g**2/11 + 492*g/11 - 486/11 = 0 for g.
1, 81
Factor 4*o**4 - 132*o**3 + 884*o**2 - 2172*o + 1800.
4*(o - 25)*(o - 3)**2*(o - 2)
Factor 2*j**4/3 - 26*j**3/3.
2*j**3*(j - 13)/3
Suppose 4*h**2 + 1100*h - 1104 = 0. What is h?
-276, 1
Suppose 2*f**2/17 + 492*f/17 + 490/17 = 0. Calculate f.
-245, -1
Factor s**2 - 32*s + 60.
(s - 30)*(s - 2)
Factor 5*u**2 - 1835*u + 3650.
5*(u - 365)*(u - 2)
Solve a**5/3 + 4*a**4 + 35*a**3/3 - 4*a**2 - 12*a = 0 for a.
-6, -1, 0, 1
Suppose o**3 + 3335*o**2 - 3336*o = 0. Calculate o.
-3336, 0, 1
Suppose g**3/2 - 5*g**2/2 - 57*g/2 - 99/2 = 0. Calculate g.
-3, 11
Let 9*t**3/2 - 42*t**2 + 27*t/2 = 0. Calculate t.
0, 1/3, 9
What is c in -5*c**2 - 130*c - 125 = 0?
-25, -1
Solve w**2 + 70*w + 136 = 0 for w.
-68, -2
Let 2*y**2 - 348*y + 15138 = 0. What is y?
87
Factor 3*l**4 + 35*l**3 + 77*l**2 + 45*l.
l*(l + 1)*(l + 9)*(3*l + 5)
Factor 3*m**2 - 1518*m + 1515.
3*(m - 505)*(m - 1)
Solve 1372*p**5 + 18326*p**4/5 + 16884*p**3/5 + 5832*p**2/5 + 432*p/5 = 0.
-6/7, -1/10, 0
Suppose 18*p**5 + 90*p**4 + 154*p**3 + 102*p**2 + 20*p = 0. What is p?
-2, -5/3, -1, -1/3, 0
Find q such that q**2/5 - 56*q + 3920 = 0.
140
What is q in -5*q**2 - 36450*q - 66430125 = 0?
-3645
Factor 4*q**2 - 6984*q.
4*q*(q - 1746)
What is z in z**5 - 83*z**4 - 171*z**3 + 83*z**2 + 170*z = 0?
-2, -1, 0, 1, 85
Let -2*u**2/21 - 30*u/7 + 2108/21 = 0. Calculate u.
-62, 17
Determine n so that -7*n**4/3 + 271*n**3/3 + 26*n**2 = 0.
-2/7, 0, 39
Let -4*i**5 + 20*i**4 - 28*i**3 + 12*i**2 = 0. What is i?
0, 1, 3
Suppose -z**2/7 - 68*z - 8092 = 0. What is z?
-238
Factor 2*n**4/7 - 10*n**3/7 + 4*n**2/7 + 16*n/7.
2*n*(n - 4)*(n - 2)*(n + 1)/7
Determine k so that -2*k**5 - k**4 + 21*k**3 - 26*k**2 + 8*k = 0.
-4, 0, 1/2, 1, 2
Factor -3*d**3 + 27*d**2 - 24*d - 180.
-3*(d - 6)*(d - 5)*(d + 2)
Find l such that 4*l**2 + 872*l - 2652 = 0.
-221, 3
Find x, given that x**3/2 + 15*x**2/2 - 63*x = 0.
-21, 0, 6
Let -2*j**5/5 + 8*j**4/5 + 78*j**3/5 + 108*j**2/5 = 0. Calculate j.
-3, -2, 0, 9
Factor -3*w**2 - 3*w.
-3*w*(w + 1)
Factor 2*x**5/7 - 132*x**4/7 - 270*x**3/7 - 136*x**2/7.
2*x**2*(x - 68)*(x + 1)**2/7
Solve 75*m**2/8 - 3285*m/8 + 651/4 = 0.
2/5, 217/5
Factor 3*c**4/4 + 3*c**3/4 - 45*c**2/4 - 27*c/4 + 81/2.
3*(c - 3)*(c - 2)*(c + 3)**2/4
Factor 2*y**3/13 + 2*y**2/13 - 32*y/13 - 32/13.
2*(y - 4)*(y + 1)*(y + 4)/13
Factor i**4/4 - 84*i**3 + 669*i**2/4 - 167*i/2.
i*(i - 334)*(i - 1)**2/4
Factor -28*u**3/3 + 64*u**2/3.
-4*u**2*(7*u - 16)/3
Let 3*w**5 - 21*w**4 - 486*w**3 + 2154*w**2 + 21219*w - 22869 = 0. What is w?
-9, -7, 1, 11
Find f such that 2*f**3 - 40*f**2 + 178*f - 140 = 0.
1, 5, 14
Factor s**3/3 - 3*s**2.
s**2*(s - 9)/3
Factor -b**3/2 - 6*b**2 + 138*b + 616.
-(b - 14)*(b + 4)*(b + 22)/2
Factor -5*r**2 - 95*r - 300.
-5*(r + 4)*(r + 15)
Factor -2*c**3/5 - 18*c**2/5 + 324*c/5.
-2*c*(c - 9)*(c + 18)/5
Factor w**5/2 - w**4 - 3*w**3/2 + 4*w**2 - 2*w.
w*(w - 2)*(w - 1)**2*(w + 2)/2
Suppose -5*h**4 - 180*h**3 - 2340*h**2 - 12960*h - 25920 = 0. What is h?
-12, -6
Factor 2*j**2 - 218*j + 216.
2*(j - 108)*(j - 1)
Find x, given that -29*x**3/5 + 8*x**2/5 = 0.
0, 8/29
Let r**4 - 89*r**3 + 345*r**2 - 427*r + 170 = 0. Calculate r.
1, 2, 85
What is l in -189*l**4 + 4062*l**3 + 2100*l**2 + 264*l = 0?
-2/7, -2/9, 0, 22
Determine p so that 8*p**5 - 2900*p**4 + 263528*p**3 - 128144*p**2 - 263536*p + 131044 = 0.
-1, 1/2, 1, 181
Find h such that 2*h**3/3 - 2*h**2 - 8*h/3 = 0.
-1, 0, 4
Factor -2*s**2/13 + 2020*s/13 - 510050/13.
-2*(s - 505)**2/13
Determine v so that -v**2/6 - 3617*v/3 - 13082689/6 = 0.
-3617
Factor -2*r**3/13 - 288*r**2/13 - 22*r.
-2*r*(r + 1)*(r + 143)/13
Solve -2*w**2 - 128*w - 2048 = 0 for w.
-32
Let -2*d**5/3 - 14*d**4/3 + 2*d**3/3 + 14*d**2/3 = 0. What is d?
-7, -1, 0, 1
What is b in 2*b**2 - 32 = 0?
-4, 4
Factor -5*f**2 - 425*f.
-5*f*(f + 85)
Suppose -y**3/7 + 10*y**2/7 - 17*y/7 + 8/7 = 0. Calculate y.
1, 8
Factor -o**3/4 - 19*o**2/4 + o/4 + 19/4.
-(o - 1)*(o + 1)*(o + 19)/4
Factor -2*q**2 - 106*q.
-2*q*(q + 53)
Find d such that -3*d**2/8 + 75*d/8 + 81/4 = 0.
-2, 27
Factor -15*v**4 - 550*v**3 - 5220*v**2 - 3240*v.
-5*v*(v + 18)**2*(3*v + 2)
Factor 21*c**3/2 + 33*c**2 - 369*c/2 - 27.
3*(c - 3)*(c + 6)*(7*c + 1)/2
Factor m**5 + 2789*m**4 + 1940443*m**3 - 5838073*m**2 + 5843656*m - 1948816.
(m - 1)**3*(m + 1396)**2
Factor d**2 + 31*d + 30.
(d + 1)*(d + 30)
Factor -2*l**4/3 + 10*l**3/3 - 16*l**2/3 + 8*l/3.
-2*l*(l - 2)**2*(l - 1)/3
What is y in 5*y**4 - 15*y**3 + 15*y**2 - 5*y = 0?
0, 1
Solve -3*l**3/2 + 27*l**2 + 705*l/2 + 324 = 0 for l.
-8, -1, 27
Suppose -2*g**2 + 30712*g - 117903368 = 0. Calculate g.
7678
Factor i**4 - 41*i**3/4 - 17*i**2/2 + 11*i/4.
i*(i - 11)*(i + 1)*(4*i - 1)/4
Find o, given that -3*o**3/2 - 60*o**2 - 111*o/2 + 117 = 0.
-39, -2, 1
Determine g so that -5*g**2 + 540*g + 2240 = 0.
-4, 112
Factor -4*z**2 + 220*z - 2856.
-4*(z - 34)*(z - 21)
Factor 5*m**4 - 225*m**3 + 2845*m**2 - 7035*m + 4410.
5*(m - 21)**2*(m - 2)*(m - 1)
Suppose -2*l**4/15 + 28*l**3/15 + 632*l**2/15 + 1988*l/15 - 882/5 = 0. What is l?
-7, 1, 27
Factor q**4 - 6*q**3/5 - 81*q**2/5 - 14*q.
q*(q - 5)*(q + 1)*(5*q + 14)/5
Suppose 2*u**3/3 + 212*u**2/3 - 430*u/3 + 72 = 0. Calculate u.
-108, 1
Factor -15*w**2 + 264*w + 108.
-3*(w - 18)*(5*w + 2)
Factor u**3/2 + 2*u**2 - 41*u/2 + 18.
(u - 4)*(u - 1)*(u + 9)/2
Suppose 2*l**4/11 + 24*l**3/11 - 56*l**2/11 = 0. Calculate l.
-14, 0, 2
Factor -3*l**4 - 63*l**3 - 168*l**2 - 108*l.
-3*l*(l + 1)*(l + 2)*(l + 18)
What is z in 5*z**5 - 105*z**4 - 485*z**3 - 375*z**2 = 0?
-3, -1, 0, 25
Suppose -3*m**2/4 - 1239*m/4 = 0. What is m?
-413, 0
Find d, given that -2*d**4/11 + 40*d**3/11 - 18*d**2 - 40*d/11 + 200/11 = 0.
-1, 1, 10
Factor 5*m**3 + 10*m**2 - 25*m - 30.
5*(m - 2)*(m + 1)*(m + 3)
Find c such that 292*c**3 - 1614*c**2 + 2088*c - 56 = 0.
2/73, 2, 7/2
Factor -2*a**5 + 46*a**4 - 404*a**3 + 1692*a**2 - 3402*a + 2646.
-2*(a - 7)**2*(a - 3)**3
What is j in 12*j**5 + 32*j**4 + 12*j**3 - 8*j**2 = 0?
-2, -1, 0, 1/3
Solve -17*v**3 - 1937*v**2 - 55119*v + 3249 = 0 for v.
-57, 1/17
Let -58*a**3/19 + 344*a**2/19 + 430*a/19 + 28/19 = 0. Calculate a.
-1, -2/29, 7
Factor -5*z**3 + 50*z**2 - 105*z.
-5*z*(z - 7)*(z - 3)
Factor 2*s**2/7 - 116*s/7 - 118/7.
2*(s - 59)*(s + 1)/7
Factor -a**2 - 471*a + 472.
-(a - 1)*(a + 472)
What is z in -4*z**3 + 164*z**2 - 1504*z + 1344 = 0?
1, 12, 28
Factor 2*w**3/9 - 14*w**2/9 + 28*w/9 - 16/9.
2*(w - 4)*(w - 2)*(w - 1)/9
Factor 2*k**4/15 + 148*k**3/15 + 2882*k**2/15 + 1776*k/5 + 864/5.
2*(k + 1)**2*(k + 36)**2/15
Suppose -2*v**2 - 522*v = 0. Calculate v.
-261, 0
Factor -w**3 + 14*w**2 - 11*w - 26.
-(w - 13)*(w - 2)*(w + 1)
Let 6*m**3/7 - 74*m**2/7 + 186*m/7 - 54/7 = 0. Calculate m.
1/3, 3, 9
Solve -2*b**5 - 12*b**4 - 24*b**3 - 20*b**2 - 6*b = 0.
-3, -1, 0
Factor 2*l**3/9 - 94*l**2/3 + 62*l - 278/9.
2*(l - 139)*(l - 1)**2/9
Suppose 6*g**5 + 88*g**4 + 134*g**3 - 1460*g**2 + 936*g + 1296 = 0. Calculate g.
-9, -2/3, 2
Suppose 7*o**5/3 - 11*o**4 - 17*o**3/3 + 11*o**2 + 10*o/3 = 0. Calculate o.
-1, -2/7, 0, 1, 5
Suppose -99*o**4 + 294*o**3 - 189*o**2 - 6*o = 0. Calculate o.
-1/33, 0, 1, 2
Factor b**5/3 - 12*b**4 + 358*b**3/3 - 204*b**2 + 289*b/3.
b*(b - 17)**2*(b - 1)**2/3
Factor -2*c**5 + 10*c**4 - 18*c**3 + 14*c**2 - 4*c.
-2*c*(c - 2)*(c - 1)**3
Factor -r**5 - 5*r**4 - 2*r**3 + 8*r**2.
-r**2*(r - 1)*(r + 2)*(r + 4)
Let -4*p**4 - 40*p**3 - 68*p**2 + 112*p = 0. Calculate p.
-7, -4, 0, 1
Solve 4*j**2 - 3088*j + 3084 = 0.
1, 771
Factor -250*c**4/11 + 6050*c**3 - 79620*c**2/11 + 31816*c/11 - 4240/11.
-2*(c - 265)*(5*c - 2)**3/11
Solve -x**3 + 22*x**2 - 85*x = 0.
0, 5, 17
Determine h, given that -34*h**2/7 - 26*h/7 + 8/7 = 0.
-1, 4/17
Suppose -16*k**4 + 16*k**3 + 92*k**2 - 48*k - 144 = 0. Calculate k.
-3/2, 2
Determine p, given that -2*p**3/3 + 56*p**2/3 + 286*p = 0.
-11, 0, 39
Suppose 2*h**2 - 22*h + 48 = 0. What is h?
3, 8
Determine j so that -4*j**4/7 - 144*j**3/7 + 964*j**2/7 - 1824*j/7 + 144 = 0.
-42, 1, 2, 3
Factor 2*u**3 + 90*u**2 - 594*u + 918.
2*(u - 3)**2*(u + 51)
Find y such that 3*y**5/2 + 13*y**4 + 16*y**3 - 63*y**2 - 35*y/2 + 50 = 0.
-5, -1, 1, 4/3
Solve 5*b**3 + 175*b**2 + 1235*b - 5415 = 0 fo