 60*m**2 - 65*m + 90.
5*(m - 2)*(m - 1)*(7*m + 9)
Find l, given that -l**2/3 - 18*l - 243 = 0.
-27
Find k such that -4*k**4/3 + 16*k**3/3 + 320*k**2/3 + 256*k = 0.
-4, 0, 12
Suppose -n**3/2 + 57*n**2 - 1680*n + 3136 = 0. Calculate n.
2, 56
Factor -3*t**3/7 + 120*t**2/7.
-3*t**2*(t - 40)/7
Find t, given that -t**4/2 - 65*t**3/2 + 133*t**2/2 - 67*t/2 = 0.
-67, 0, 1
Suppose -2*y**4/7 + 4*y**3/7 + 6*y**2/7 - 16*y/7 + 8/7 = 0. Calculate y.
-2, 1, 2
Determine w so that 2*w**2/5 - 34*w/5 + 32/5 = 0.
1, 16
What is c in 3*c**4/4 + 339*c**3 + 4047*c**2/4 + 1347*c/2 = 0?
-449, -2, -1, 0
Let 15*d**5 + 79*d**4 + 163*d**3 + 165*d**2 + 82*d + 16 = 0. What is d?
-8/5, -1, -2/3
Factor 39*l**2/5 + 41*l/5 + 2/5.
(l + 1)*(39*l + 2)/5
Factor -p**2 - 88*p.
-p*(p + 88)
Factor l**2 - 143*l + 282.
(l - 141)*(l - 2)
Factor 3*r**3 + 207*r**2 + 2310*r.
3*r*(r + 14)*(r + 55)
Find g such that 3*g**3 + 4599*g**2 + 1764864*g + 1760268 = 0.
-766, -1
Find h such that -3*h**3 + 336*h**2 - 969*h - 1308 = 0.
-1, 4, 109
Determine c, given that 9*c**4/7 + 6*c**3 + 24*c**2/7 = 0.
-4, -2/3, 0
Factor -d**4/2 - 25*d**3/2 - 83*d**2 - 48*d + 144.
-(d - 1)*(d + 2)*(d + 12)**2/2
Find n such that -3*n**5 - 6*n**4 + 27*n**3 + 54*n**2 = 0.
-3, -2, 0, 3
Find a, given that -a**3 - 4*a**2 + 3*a + 18 = 0.
-3, 2
Factor 3*z**2 + 636*z + 633.
3*(z + 1)*(z + 211)
Determine f, given that -f**3/4 + 359*f**2/4 - 32399*f/4 + 32041/4 = 0.
1, 179
Solve 3*a**5 - 258*a**4 + 255*a**3 = 0 for a.
0, 1, 85
Factor -27*q**3/7 - 492*q**2/7 - 2295*q/7 - 486/7.
-3*(q + 9)**2*(9*q + 2)/7
Solve a**2/6 - 29*a/6 = 0 for a.
0, 29
Factor 95*g**2 - 1712*g + 36.
(g - 18)*(95*g - 2)
Let -3*p**4 - 27*p**3 + 237*p**2 - 477*p + 270 = 0. What is p?
-15, 1, 2, 3
Factor -w**3/6 + 2*w**2 + w/6 - 2.
-(w - 12)*(w - 1)*(w + 1)/6
Let -2*g**4/5 + 86*g**3/5 = 0. What is g?
0, 43
Factor -b**2 + 15*b - 44.
-(b - 11)*(b - 4)
Factor -d**2/4 - 85*d/2 + 875/4.
-(d - 5)*(d + 175)/4
Determine l so that 3*l**5/5 - 6*l**4/5 - 3*l**3/5 + 6*l**2/5 = 0.
-1, 0, 1, 2
Factor -3*a**2 - 769*a + 514.
-(a + 257)*(3*a - 2)
Factor -2*a**2/7 - 52*a.
-2*a*(a + 182)/7
Factor -n**2 - 474*n.
-n*(n + 474)
Factor -21*h**3 + 46*h**2 - 29*h + 4.
-(h - 1)**2*(21*h - 4)
Factor -12*m**2 - 255*m - 63.
-3*(m + 21)*(4*m + 1)
Solve -u**4 - 1816*u**3 - 1236696*u**2 - 374306656*u - 42483805456 = 0.
-454
Factor 3*s**3 + 93*s**2 + 792*s + 2052.
3*(s + 6)**2*(s + 19)
Suppose s**4/4 + 107*s**3/4 - 3*s**2/4 - 319*s/4 + 107/2 = 0. What is s?
-107, -2, 1
Factor 54*a**5 - 2364*a**4 + 107480*a**3/3 - 206416*a**2 + 288512*a - 351232/3.
2*(a - 14)**3*(9*a - 8)**2/3
Solve q**5/4 - 111*q**4/4 + 219*q**3/4 - 109*q**2/4 = 0 for q.
0, 1, 109
What is k in -3*k**4/5 + 29*k**3/5 + 79*k**2/5 + 59*k/5 + 12/5 = 0?
-1, -1/3, 12
Factor 5*u**4 - 630*u**3 + 22205*u**2 - 148680*u + 278480.
5*(u - 59)**2*(u - 4)**2
Suppose 2*v**3/5 + 108*v**2/5 - 222*v/5 + 112/5 = 0. What is v?
-56, 1
Suppose -3*n**3/8 - 285*n**2/8 + 441*n/4 = 0. Calculate n.
-98, 0, 3
Solve -87362*w**5 + 82346*w**4/3 + 1648*w**3/3 + 8*w**2/3 = 0 for w.
-2/209, 0, 1/3
Suppose -y**2 - 144*y - 423 = 0. Calculate y.
-141, -3
Factor -2*m**3/9 - 88*m**2/9 - 86*m/9.
-2*m*(m + 1)*(m + 43)/9
Let -m**4/5 + m**3 + 2*m**2/5 - 24*m/5 = 0. Calculate m.
-2, 0, 3, 4
Factor 3*l**4/8 + 675*l**3/8 + 50625*l**2/8 + 1265625*l/8.
3*l*(l + 75)**3/8
Determine s, given that -5*s**2 - 115*s + 250 = 0.
-25, 2
Suppose 4805*v**5/3 + 3317*v**4 - 13837*v**3/3 - 409*v**2 + 320*v/3 - 4 = 0. What is v?
-3, -1/5, 2/31, 1
Solve -4*f**2/5 + 602*f/5 - 60 = 0 for f.
1/2, 150
Determine c, given that 2*c**3/21 + 82*c**2/21 - 4*c = 0.
-42, 0, 1
Find g, given that -g**2/2 - 410*g - 84050 = 0.
-410
Find j such that -4*j**5/3 + 58*j**4/3 - 40*j**3 - 10*j**2/3 + 124*j/3 - 16 = 0.
-1, 1/2, 1, 2, 12
Factor q**2/3 - 109*q/3 + 36.
(q - 108)*(q - 1)/3
Determine k, given that 2*k**4 - 76*k**3 - 2*k**2 + 76*k = 0.
-1, 0, 1, 38
Factor 4*d**4/9 - 748*d**3/9 - 772*d**2 - 2340*d - 2352.
4*(d - 196)*(d + 3)**3/9
Determine t so that -2*t**2 - 1360*t - 231200 = 0.
-340
Factor -32*d**5/9 + 176*d**4/9 + 94*d**3/9 + 4*d**2/3.
-2*d**2*(d - 6)*(4*d + 1)**2/9
Suppose -2*q**3/5 + 34*q**2/5 - 62*q/5 + 6 = 0. What is q?
1, 15
Find v, given that v**5/7 - 4*v**4/7 - 57*v**3/7 - 40*v**2/7 + 100*v/7 = 0.
-5, -2, 0, 1, 10
Solve 3*r**5/5 - 38*r**4/5 + 33*r**3/5 + 618*r**2/5 + 32*r - 384/5 = 0 for r.
-3, -1, 2/3, 8
What is y in 5*y**5 - 275*y**4 - 295*y**3 + 815*y**2 + 1390*y + 560 = 0?
-1, 2, 56
Factor -3*g**3/4 + 189*g**2/2 - 1053*g - 136890.
-3*(g - 78)**2*(g + 30)/4
Let -3*t**2 + 2529*t - 5046 = 0. What is t?
2, 841
What is z in -z**4/4 + 27*z**3/4 - 51*z**2/4 + 25*z/4 = 0?
0, 1, 25
Solve 3*p**3 + 78*p**2 + 147*p + 72 = 0 for p.
-24, -1
Suppose -c**5 - 23*c**4 - 192*c**3 - 716*c**2 - 1216*c - 768 = 0. Calculate c.
-8, -3, -2
Factor -v**4/10 + 3*v**3/5 + 3*v**2/10 - 2*v + 6/5.
-(v - 6)*(v - 1)**2*(v + 2)/10
Factor 2*a**2/3 + 398*a/3 + 1940/3.
2*(a + 5)*(a + 194)/3
Factor -5*f**2 - 45*f + 50.
-5*(f - 1)*(f + 10)
Find u, given that 2*u**3/9 - 4*u**2/3 - 154*u/3 - 1960/9 = 0.
-7, 20
Factor 3*v**3/7 - 30567*v**2/7 + 77846505*v/7 + 77877075/7.
3*(v - 5095)**2*(v + 1)/7
Factor -2*z**5 + 18*z**4 - 46*z**3 - 18*z**2 + 216*z - 216.
-2*(z - 3)**3*(z - 2)*(z + 2)
Find w such that -4*w**4 - 8*w**3 + 8*w + 4 = 0.
-1, 1
Factor -3*i**2 - 3*i + 6.
-3*(i - 1)*(i + 2)
Factor h**2 - 1228*h + 376996.
(h - 614)**2
What is h in h**5/6 + 169*h**4/6 + 83*h**3/3 - 56*h**2 = 0?
-168, -2, 0, 1
Solve -3*i**5/4 + 21*i**4/4 + 51*i**3/4 + 27*i**2/4 = 0.
-1, 0, 9
Factor -42*w**3/5 + 118*w**2/15 + 8*w/15.
-2*w*(w - 1)*(63*w + 4)/15
Factor -6*h**3/5 + 2*h**2 - 4*h/5.
-2*h*(h - 1)*(3*h - 2)/5
Factor 2*t**2 - 4*t - 48.
2*(t - 6)*(t + 4)
Factor z**2 + 1027*z + 1026.
(z + 1)*(z + 1026)
Suppose -x**4/11 + 3*x**2/11 - 2*x/11 = 0. What is x?
-2, 0, 1
Let -3*n**3/4 + 39*n**2/4 - 24*n + 15 = 0. What is n?
1, 2, 10
Find r, given that 15*r**2 - 1315*r + 870 = 0.
2/3, 87
Factor -c**4/3 - c**3/3 + 2*c**2.
-c**2*(c - 2)*(c + 3)/3
Factor 4*p**4 - 96*p**3 - 100*p**2.
4*p**2*(p - 25)*(p + 1)
Find z, given that 4*z**4 + 232*z**3 + 3572*z**2 + 5600*z - 9408 = 0.
-28, -3, 1
Determine d, given that -5*d**5 + 20*d**3 + 10*d**2 - 15*d - 10 = 0.
-1, 1, 2
Suppose m**2 - 166*m = 0. Calculate m.
0, 166
Factor 4*h**4/7 - 24*h**3/7 - 340*h**2/7 - 312*h/7.
4*h*(h - 13)*(h + 1)*(h + 6)/7
Factor 2*u**2 - 40*u + 38.
2*(u - 19)*(u - 1)
Solve 2*c**2/3 + 184*c/3 + 1408 = 0.
-48, -44
Factor 5*l**5 - 30*l**4 - 115*l**3 + 300*l**2 - 160*l.
5*l*(l - 8)*(l - 1)**2*(l + 4)
Determine v, given that 150*v**2 - 3*v = 0.
0, 1/50
Solve -q**2 + 49*q - 220 = 0.
5, 44
Determine i, given that 4*i**5/7 + 8*i**4/7 - 4*i**3/7 - 8*i**2/7 = 0.
-2, -1, 0, 1
Factor 2*i**2 + 72*i + 648.
2*(i + 18)**2
Factor -3*t**2 - 72*t.
-3*t*(t + 24)
Factor o**5/4 + 353*o**4/4 + 31675*o**3/4 + 91875*o**2/4.
o**2*(o + 3)*(o + 175)**2/4
Find l such that 2*l**2/3 - 8/3 = 0.
-2, 2
Let -5*t**2 + 20*t + 105 = 0. Calculate t.
-3, 7
Suppose 4*s**3 - 3676*s**2 + 846396*s - 842724 = 0. What is s?
1, 459
Determine i, given that 5*i**2/3 + 26*i - 32/3 = 0.
-16, 2/5
Factor k**4/2 - 11*k**3/2 - 6*k**2 + 74*k - 88.
(k - 11)*(k - 2)**2*(k + 4)/2
Determine y, given that 4*y**3 + 92*y**2/3 - 140*y/3 + 12 = 0.
-9, 1/3, 1
Factor -2*b**3/5 - 1374*b**2/5 + 2*b/5 + 1374/5.
-2*(b - 1)*(b + 1)*(b + 687)/5
Let -5*n**4/4 + 3*n**3/4 + 3*n**2 + n = 0. What is n?
-1, -2/5, 0, 2
Determine y so that y**5/5 + 10*y**4 + 48*y**3/5 - 10*y**2 - 49*y/5 = 0.
-49, -1, 0, 1
Solve -8*k**4 + 92*k**3 - 240*k**2 + 112*k + 128 = 0 for k.
-1/2, 2, 8
Solve p**4/9 - 307*p**3/9 + 10403*p**2/3 - 1029073*p/9 - 2185454/9 = 0 for p.
-2, 103
Factor 3*c**2/5 + 75*c + 372/5.
3*(c + 1)*(c + 124)/5
Determine a, given that -8*a**2 + 11674*a - 2918 = 0.
1/4, 1459
Let -4*x**2/5 + 336*x/5 + 432 = 0. Calculate x.
-6, 90
Factor 2*z**2 - 22*z + 20.
2*(z - 10)*(z - 1)
Factor 4*m**2 + 116*m.
4*m*(m + 29)
Factor 5*d**2/3 - 8645*d/3 - 8660.
5*(d - 1732)*(d + 3)/3
Let -z**4 + 17*z**3 - 93*z**2 + 207*z - 162 = 0. Calculate z.
2, 3, 9
Find y, given that y**2/3 + 2*y + 5/3 = 0.
-5, -1
Suppose 18*n**4 + 105*n**3 - 1152*n**2 + 2133*n - 324 = 0. What is n?
-12, 1/6, 3
Factor 2*g**3/19 - 42*g**2/19 - 48*g/19 + 88/19.
2*(g - 22)*(g - 1)*(g + 2)/19
Factor -5*k**4 + 120*k**3 - 810*k**2 + 1