= 0?
-625, -1
Factor -4*k**4 - 120*k**3 - 900*k**2.
-4*k**2*(k + 15)**2
Solve 2*c**4/5 - 2056*c**3/5 + 792588*c**2/5 - 135796744*c/5 + 8724940802/5 = 0.
257
Suppose -2*f**2/3 - 358*f/3 + 1840/3 = 0. What is f?
-184, 5
Let -4*w**2/5 + 8*w - 96/5 = 0. Calculate w.
4, 6
Find j, given that -14*j**5 + 38*j**4 - 2*j**3 - 46*j**2 + 16*j + 8 = 0.
-1, -2/7, 1, 2
Factor -86*s**4/11 + 78*s**3 - 2130*s**2/11 - 50*s/11.
-2*s*(s - 5)**2*(43*s + 1)/11
Find c such that -10*c**4 + 86*c**3 + 42*c**2 - 54*c = 0.
-1, 0, 3/5, 9
Find m, given that 3*m**2 - 1077*m + 1074 = 0.
1, 358
Factor 2*x**4 - 26*x**3 + 46*x**2 - 22*x.
2*x*(x - 11)*(x - 1)**2
Find h, given that 2*h**2/3 + 18*h/5 + 4/3 = 0.
-5, -2/5
Factor p**2/9 - 676*p/9 + 114244/9.
(p - 338)**2/9
Factor -z**2 - 18*z + 19.
-(z - 1)*(z + 19)
Factor -2*p**3/3 + 16*p**2/3 - 10*p/3 - 28/3.
-2*(p - 7)*(p - 2)*(p + 1)/3
What is v in -v**3 + 22*v**2 - 76*v + 72 = 0?
2, 18
Factor 9*v**4 + 30*v**3 - 963*v**2 - 324*v.
3*v*(v - 9)*(v + 12)*(3*v + 1)
Factor -b**2/3 - 56*b/3 - 784/3.
-(b + 28)**2/3
Factor -b**3 - 4*b**2 - 3*b.
-b*(b + 1)*(b + 3)
Factor t**4/2 + 37*t**3/2 + 11*t**2 - 3792*t - 7488.
(t - 13)*(t + 2)*(t + 24)**2/2
Suppose 2*m**4/17 - 8*m**3/17 - 38*m**2/17 - 28*m/17 = 0. What is m?
-2, -1, 0, 7
Factor a**3/4 + 6*a**2 + 48*a + 128.
(a + 8)**3/4
Suppose 2*f**5/7 + 18*f**4/7 + 2*f**3 - 18*f**2/7 - 16*f/7 = 0. Calculate f.
-8, -1, 0, 1
Factor -2*o**2/13 - 90*o/13 - 700/13.
-2*(o + 10)*(o + 35)/13
Let -4*w**5/5 - 188*w**4/5 - 2956*w**3/5 - 17028*w**2/5 - 5184*w - 11664/5 = 0. Calculate w.
-18, -9, -1
Solve -4*p**5 + 19*p**4 - 4*p**3 - 54*p**2 + 27 = 0 for p.
-1, 3/4, 3
Factor 116*g**2 - 324*g - 72.
4*(g - 3)*(29*g + 6)
Factor w**4 - 54*w**3 + 53*w**2.
w**2*(w - 53)*(w - 1)
Determine s so that 2*s**5 - 6*s**4 - 18*s**3 + 46*s**2 + 48*s - 72 = 0.
-2, 1, 3
Suppose 723*b**3 - 5058*b**2 + 4317*b + 18 = 0. What is b?
-1/241, 1, 6
Let -5*k**3 - 355*k**2 + 370*k + 720 = 0. Calculate k.
-72, -1, 2
Suppose l**3/4 + 5*l**2/2 + 8*l + 8 = 0. Calculate l.
-4, -2
Find p such that 54*p**5/7 - 328*p**4/7 + 726*p**3/7 - 100*p**2 + 264*p/7 - 16/7 = 0.
2/27, 1, 2
Solve -t**2 + 188*t - 8836 = 0.
94
Determine b so that -102*b**3/7 - 114*b**2/7 - 12*b/7 = 0.
-1, -2/17, 0
What is z in z**2 + 601*z + 600 = 0?
-600, -1
Find k such that 867*k**4 + 9741*k**3 + 2256*k**2 + 132*k = 0.
-11, -2/17, 0
Factor 3*l**2/5 - 84*l + 2940.
3*(l - 70)**2/5
Solve -j**2 - 1275*j + 1276 = 0.
-1276, 1
Let -24*b**5 - 81*b**4 + 45*b**3 + 195*b**2 - 81*b - 54 = 0. Calculate b.
-3, -2, -3/8, 1
Factor 4*q**5/7 + 48*q**4/7 + 44*q**3/7.
4*q**3*(q + 1)*(q + 11)/7
Factor -4*t**3 + 84*t**2 - 224*t + 144.
-4*(t - 18)*(t - 2)*(t - 1)
Factor 5*f**4/4 - 45*f**3/2 + 405*f**2/4.
5*f**2*(f - 9)**2/4
Let 2*z**4/3 + 164*z**3 + 29762*z**2/3 - 20336*z + 30752/3 = 0. Calculate z.
-124, 1
Factor -2*t**2/3 - 12*t - 64/3.
-2*(t + 2)*(t + 16)/3
Suppose 4*x**3 + 10*x**2 - 44*x + 30 = 0. Calculate x.
-5, 1, 3/2
Factor 2*q**3/5 - 2*q**2 - 12*q/5.
2*q*(q - 6)*(q + 1)/5
Factor -2*s**4/5 + 22*s**3/5 + 986*s**2/5 - 13294*s/5.
-2*s*(s - 17)**2*(s + 23)/5
Solve -z**5 - 18*z**4 - 56*z**3 + 198*z**2 + 1161*z + 1404 = 0.
-13, -3, 4
Factor 3*v**2 + 3918*v + 1279227.
3*(v + 653)**2
Factor 2*j**3 + 4*j**2 - 50*j - 100.
2*(j - 5)*(j + 2)*(j + 5)
Determine p, given that p**4/3 - 2*p**3/3 - 4*p**2/3 + 8*p/3 = 0.
-2, 0, 2
Factor b**2 - 766*b + 146689.
(b - 383)**2
Determine h so that -2*h**3/5 + 1832*h**2/3 - 3499118*h/15 + 2328676/15 = 0.
2/3, 763
Factor -5*j**4 + 45*j**3 + 110*j**2.
-5*j**2*(j - 11)*(j + 2)
What is h in 3*h**2 - 30*h + 48 = 0?
2, 8
Factor -f**2/3 - 694*f/3 + 695/3.
-(f - 1)*(f + 695)/3
Suppose 2*w**2/23 + 2*w + 152/23 = 0. Calculate w.
-19, -4
Determine f, given that -f**4/4 - 5*f**3/2 - 25*f**2/4 = 0.
-5, 0
Let s**4 + 86*s**3/3 + 556*s**2/3 - 290*s + 75 = 0. What is s?
-15, 1/3, 1
Factor 5*a**3 - 40*a**2 + 85*a - 50.
5*(a - 5)*(a - 2)*(a - 1)
Factor -a**3/4 + 69*a**2/4 - 387*a/4 - 31433/4.
-(a - 43)**2*(a + 17)/4
What is s in -s**5 + 7*s**4 + s**3 - 7*s**2 = 0?
-1, 0, 1, 7
Solve -3*j**3 + 33*j**2 - 108*j + 108 = 0.
2, 3, 6
Factor 2*w**4 - 30*w**3 + 158*w**2 - 330*w + 200.
2*(w - 5)**2*(w - 4)*(w - 1)
Factor m**5 + 2*m**4 - 2*m**2 - m.
m*(m - 1)*(m + 1)**3
Let 4*i**4 - 24*i**3 + 48*i**2 - 40*i + 12 = 0. What is i?
1, 3
Suppose -3*f**2/5 + 44*f/5 + 64/5 = 0. What is f?
-4/3, 16
Let -2*s**5/3 + 28*s**4/3 - 38*s**3 + 136*s**2/3 + 88*s/3 - 64 = 0. What is s?
-1, 2, 3, 8
Let -4*q**5 + 4*q**4 + 20*q**3 - 20*q**2 - 16*q + 16 = 0. What is q?
-2, -1, 1, 2
Let r**3/4 - r**2 + 5*r/4 - 1/2 = 0. What is r?
1, 2
Factor 4*d**4 - 2716*d**3 - 8172*d**2 - 8180*d - 2728.
4*(d - 682)*(d + 1)**3
Factor -2*g**2/3 - 88*g/3.
-2*g*(g + 44)/3
Find m, given that 5*m**3/2 - 20*m**2 + 65*m/2 - 15 = 0.
1, 6
Factor 4*c**4 - 4*c**3 - 8*c**2.
4*c**2*(c - 2)*(c + 1)
Determine k, given that k**4 + 2*k**3 - 12*k**2 - 18*k + 27 = 0.
-3, 1, 3
Find i, given that 2*i**4 - 72*i**3 - 358*i**2 + 1548*i - 1120 = 0.
-7, 1, 2, 40
Factor f**2/5 - 89*f/5 + 276.
(f - 69)*(f - 20)/5
Factor g**2 - 11238*g + 31573161.
(g - 5619)**2
Factor -2*q**4 - 4*q**3 + 24*q**2 + 36*q - 54.
-2*(q - 3)*(q - 1)*(q + 3)**2
Suppose 3*l**4 - 1587*l**3 - 3183*l**2 - 1593*l = 0. What is l?
-1, 0, 531
Determine o, given that o**4 + 7*o**3/2 - 207*o**2/2 - 1183*o/2 - 539/2 = 0.
-7, -1/2, 11
Factor -2*b**2/9 + 22*b/9 + 8/3.
-2*(b - 12)*(b + 1)/9
Factor h**3/3 - 140*h**2/3 - 1168*h/3 - 2368/3.
(h - 148)*(h + 4)**2/3
Suppose -9*t**3/5 - 237*t**2 + 402*t/5 + 792/5 = 0. Calculate t.
-132, -2/3, 1
Factor -2*v**2/5 - 1334*v/5.
-2*v*(v + 667)/5
Suppose -2*i**3/11 - 16*i**2/11 - 42*i/11 - 36/11 = 0. What is i?
-3, -2
Factor 2*t**5 - 8*t**4 - 60*t**3 + 200*t**2 + 250*t.
2*t*(t - 5)**2*(t + 1)*(t + 5)
Determine x, given that 338*x**3/11 - 66690*x**2/11 + 20496*x/11 - 1576/11 = 0.
2/13, 197
Determine d, given that 2*d**5/19 + 12*d**4/19 + 24*d**3/19 + 20*d**2/19 + 6*d/19 = 0.
-3, -1, 0
Find h such that -h**2 + 19*h + 182 = 0.
-7, 26
Determine u so that -u**3 + 329*u**2 - 326*u - 656 = 0.
-1, 2, 328
Determine t, given that -2*t**3/3 - 6*t**2 + 68*t/3 - 16 = 0.
-12, 1, 2
Factor k**3 + 13*k**2 + 12*k.
k*(k + 1)*(k + 12)
Let 5*t**2 - 4465*t - 4470 = 0. What is t?
-1, 894
Factor 3*l**3 + 189*l**2 + 180*l - 372.
3*(l - 1)*(l + 2)*(l + 62)
Factor 3*t**3/5 - 66*t**2/5 + 468*t/5 - 216.
3*(t - 10)*(t - 6)**2/5
Factor 3*u**2/5 + 66*u/5 - 69/5.
3*(u - 1)*(u + 23)/5
Factor 2*r**2/5 + 188*r/5.
2*r*(r + 94)/5
Solve 5*o**3 - 180*o**2 + 1785*o - 2890 = 0 for o.
2, 17
Factor o**3/8 + 2085*o**2/2 + 4347225*o/2.
o*(o + 4170)**2/8
Find m, given that m**2/3 + 138*m + 413/3 = 0.
-413, -1
Solve w**3 - 16*w**2 + 84*w - 144 = 0.
4, 6
Solve -l**2/5 - 82*l - 8405 = 0 for l.
-205
Factor 18*q**5/11 - 96*q**4/11 + 144*q**3/11 - 96*q/11.
6*q*(q - 2)**3*(3*q + 2)/11
Solve -2*u**2/5 + 54*u/5 + 56/5 = 0.
-1, 28
Find c, given that -5*c**3/4 + 1335*c**2/2 = 0.
0, 534
Factor -j**2/4 + 16*j - 112.
-(j - 56)*(j - 8)/4
Factor -6*z**3/5 + 157*z**2/5 - 208*z + 169/5.
-(z - 13)**2*(6*z - 1)/5
Factor 2*n**5 + 60*n**4.
2*n**4*(n + 30)
Factor 16*q**2/5 + 39804*q/5 - 9952/5.
4*(q + 2488)*(4*q - 1)/5
Determine d so that 5*d**4 + 35*d**3 + 90*d**2 + 100*d + 40 = 0.
-2, -1
Suppose 2*k**4 + 18*k**3 - 6*k**2 - 50*k + 36 = 0. What is k?
-9, -2, 1
Let 3*f**2 - 2886*f = 0. What is f?
0, 962
Factor 5*s**4/2 + 6*s**3 - 11*s**2/2 - 3*s.
s*(s - 1)*(s + 3)*(5*s + 2)/2
Factor -5*o**4 - 25*o**3 + 5*o**2 + 85*o - 60.
-5*(o - 1)**2*(o + 3)*(o + 4)
Determine l, given that 2*l**4 + 34*l**3 - 44*l**2 - 136*l + 144 = 0.
-18, -2, 1, 2
Factor -15*a**2/8 + 81*a/8 - 15/4.
-3*(a - 5)*(5*a - 2)/8
Find s, given that -2*s**3 - 276*s**2 + 846*s = 0.
-141, 0, 3
Factor 3*o**4 - 15*o**3 - 126*o**2 - 228*o - 120.
3*(o - 10)*(o + 1)*(o + 2)**2
What is k in 5*k**2 + 1570*k + 123245 = 0?
-157
Factor o**3 - 12*o**2 - 27*o + 486.
(o - 9)**2*(o + 6)
Factor k**4/4 + 17*k**3/4 + 7*k**2/2 - 8*k.
k*(k - 1)*(k + 2)*(k + 16)/4
Factor -c**2 + 94*c + 927.
-(c - 103)*(c + 9)
Factor 2*z**4/7 - 66*z**3/7 + 576*z**2/7 - 512*z/7.
2*z*(z - 16)**2*(z - 1)/7
Find u such that -2*u**4/3 + 8*u**3/3 + 38*u**2/3 + 28*u/3 = 0.
-2, -1, 0, 7
Solve m**3/2 + 59*m**2/2 + 212*m + 408 = 0 for m.
-51, -4
Factor 5*v**4 + 710*v**3 - 2160*v**2 + 2170*v - 725.
5*(v - 1)**3*(v + 145)
