2, -1, 0, 1
Factor w**5/2 - w**4/2 - 8*w**3 - 10*w**2.
w**2*(w - 5)*(w + 2)**2/2
What is o in -o**4/6 + 5*o**3/2 + o**2/6 - 5*o/2 = 0?
-1, 0, 1, 15
Factor 21*y**2 - 60*y - 9.
3*(y - 3)*(7*y + 1)
What is p in 5*p**5 - 30*p**3 + 40*p**2 - 15*p = 0?
-3, 0, 1
Factor 6*s**2 + 19*s + 3.
(s + 3)*(6*s + 1)
What is d in -4*d**3 + 3336*d**2 - 695556*d = 0?
0, 417
Find a such that 2*a**5/3 + 4*a**4/9 - 8*a**3/9 - 4*a**2/9 + 2*a/9 = 0.
-1, 0, 1/3, 1
Factor 10*i**5/7 + 22*i**4/7 + 2*i**3 + 2*i**2/7.
2*i**2*(i + 1)**2*(5*i + 1)/7
Let 5*x**2 + 40*x - 325 = 0. Calculate x.
-13, 5
Let 15*j**2 + 1509*j - 606 = 0. Calculate j.
-101, 2/5
Factor 3*w**4 - 9*w**3 - 45*w**2 - 51*w - 18.
3*(w - 6)*(w + 1)**3
Factor -5*g**2 + 845.
-5*(g - 13)*(g + 13)
Factor f**5/6 - 19*f**4/3 + 361*f**3/6.
f**3*(f - 19)**2/6
Solve 270*n**4 + 2085*n**3 - 845*n**2 - 1860*n + 800 = 0 for n.
-8, -1, 4/9, 5/6
Factor 2*n**3 - 58*n**2 + 294*n - 414.
2*(n - 23)*(n - 3)**2
Find g such that -2*g**5/3 + 8*g**4 - 106*g**3/3 + 220*g**2/3 - 72*g + 80/3 = 0.
1, 2, 5
Find v such that -4*v**3 + 120*v**2 - 548*v - 672 = 0.
-1, 7, 24
Factor 3*z**3 + 729*z**2 + 43173*z - 136161.
3*(z - 3)*(z + 123)**2
Factor 2*g**3 - 3806*g**2 + 1812606*g - 1808802.
2*(g - 951)**2*(g - 1)
Let 5*s**4 - 320*s**3 + 2070*s**2 - 4320*s + 2565 = 0. Calculate s.
1, 3, 57
Factor -6*s**3/5 + 6984*s**2/5 - 2790*s + 6972/5.
-6*(s - 1162)*(s - 1)**2/5
Factor 3*q**4 - 78*q**3 + 483*q**2 - 408*q.
3*q*(q - 17)*(q - 8)*(q - 1)
Suppose -64*a**5 - 224*a**4 + 28*a**3 + 548*a**2 + 36*a - 324 = 0. Calculate a.
-9/4, -1, 1
What is b in 4*b**3/9 + 244*b**2/3 + 14884*b/3 + 907924/9 = 0?
-61
Factor 8*j**2/9 + 118*j/3 + 88/9.
2*(j + 44)*(4*j + 1)/9
Find w such that 5*w**5 - 310*w**4 + 1190*w**3 - 1760*w**2 + 1165*w - 290 = 0.
1, 58
Suppose 3*m**2/2 + 14*m + 9/2 = 0. What is m?
-9, -1/3
Factor d**2 + 678*d + 2025.
(d + 3)*(d + 675)
Find a such that -2*a**4/15 + 2*a**3/3 + 2*a**2/5 - 26*a/15 - 4/3 = 0.
-1, 2, 5
Factor -d**4 - 524*d**3 - 1044*d**2.
-d**2*(d + 2)*(d + 522)
Let 5*r**3 + 75*r**2 - 360*r + 380 = 0. What is r?
-19, 2
Solve -o**2/7 + 634*o/7 + 1272/7 = 0 for o.
-2, 636
Solve 648*h**5/5 + 198*h**4/5 - 4234*h**3/5 + 2796*h**2/5 - 632*h/5 + 48/5 = 0 for h.
-3, 2/9, 1/4, 2
Factor -8*z**3 - 18*z**2 + 276*z + 70.
-2*(z - 5)*(z + 7)*(4*z + 1)
Factor 3*u**3/4 + 3933*u**2 + 31455*u/4 + 7863/2.
3*(u + 1)**2*(u + 5242)/4
Suppose 3*i**2/7 - 24*i/7 - 27/7 = 0. What is i?
-1, 9
Factor 2*x**2 + 34*x + 32.
2*(x + 1)*(x + 16)
Factor -2*i**2 - 256*i - 4830.
-2*(i + 23)*(i + 105)
Factor 4*z**5/9 - 4*z**4/9 - 8*z**3/9 + 8*z**2/9 + 4*z/9 - 4/9.
4*(z - 1)**3*(z + 1)**2/9
Factor -16*w**5/3 - 68*w**4/3 - 20*w**3.
-4*w**3*(w + 3)*(4*w + 5)/3
Solve -2*w**4/13 + 6*w**3/13 + 2*w**2/13 - 6*w/13 = 0 for w.
-1, 0, 1, 3
Factor -l**2/4 + 319*l/4.
-l*(l - 319)/4
Let -4*c**2 - 68*c + 72 = 0. What is c?
-18, 1
Factor 5*w**4 + 155*w**3 + 935*w**2 - 4335*w.
5*w*(w - 3)*(w + 17)**2
Factor -3*g**2/5 + 188*g/5 - 124/5.
-(g - 62)*(3*g - 2)/5
Factor 10985*h**4 + 24505*h**3 + 5265*h**2 + 395*h + 10.
5*(h + 2)*(13*h + 1)**3
Solve f**4/3 + 6*f**3 + 61*f**2/3 - 60*f + 100/3 = 0.
-10, 1
What is o in -50*o**5/3 + 122*o**4 - 304*o**3 + 856*o**2/3 - 64*o = 0?
0, 8/25, 2, 3
Factor -10*z**4 - 5*z**3 + 30*z**2.
-5*z**2*(z + 2)*(2*z - 3)
What is k in -4*k**2 - 20*k + 264 = 0?
-11, 6
Solve 4*v**5/13 + 10*v**4/13 - 2*v**3/13 - 12*v**2/13 = 0.
-2, -3/2, 0, 1
Factor 2*z**2/3 - 116*z/3.
2*z*(z - 58)/3
Determine j, given that -5*j**5 - 12*j**4 + j**3 + 12*j**2 + 4*j = 0.
-2, -1, -2/5, 0, 1
Factor -10*m**2 - 244*m + 150.
-2*(m + 25)*(5*m - 3)
Determine c so that -c**4 - 29*c**3 - 78*c**2 = 0.
-26, -3, 0
Factor z**2/2 + 2*z - 5/2.
(z - 1)*(z + 5)/2
Factor w**4/6 + w**3/3 - w**2/6 - w/3.
w*(w - 1)*(w + 1)*(w + 2)/6
Factor -2*c**3/5 + 312*c**2/5 - 16224*c/5 + 281216/5.
-2*(c - 52)**3/5
Solve -4*o**5/9 + 44*o**4/3 + 728*o**3/9 + 400*o**2/3 + 608*o/9 = 0 for o.
-2, -1, 0, 38
Factor -4*i**4 - 52*i**3 - 240*i**2 - 464*i - 320.
-4*(i + 2)**2*(i + 4)*(i + 5)
Suppose x**3/3 - 3*x**2 - 34*x/3 - 8 = 0. What is x?
-2, -1, 12
Factor -j**4/3 + 10*j**3/3 - 37*j**2/3 + 20*j - 12.
-(j - 3)**2*(j - 2)**2/3
Suppose -c**3 + 2*c**2 + 7*c + 4 = 0. What is c?
-1, 4
Solve f**3/2 + f**2/2 - 15*f - 36 = 0.
-4, -3, 6
Factor -m**5/3 + 763*m**4/3 - 72960*m**3 + 28085800*m**2/3 - 1385518000*m/3 + 1303210000.
-(m - 190)**4*(m - 3)/3
Determine y, given that 2*y**2 + 1480*y = 0.
-740, 0
Factor -l**4 - 433*l**3 - 62640*l**2 - 3048192*l - 2985984.
-(l + 1)*(l + 144)**3
Factor v**5/6 - v**4/6 - v**3 + 7*v**2/3 - 11*v/6 + 1/2.
(v - 1)**4*(v + 3)/6
Factor -4*r**4 - 24*r**3 - 44*r**2 - 24*r.
-4*r*(r + 1)*(r + 2)*(r + 3)
What is a in 3*a**4/2 - 357*a**3/2 + 5217*a**2 + 5760*a - 10800 = 0?
-2, 1, 60
Factor y**3 - 6*y**2 - y + 6.
(y - 6)*(y - 1)*(y + 1)
Factor 331*x**2/2 + 3*x/2.
x*(331*x + 3)/2
Factor 5*l**2 - 970*l - 975.
5*(l - 195)*(l + 1)
Factor g**3/4 + 5*g**2/2 + 25*g/4.
g*(g + 5)**2/4
Factor -2*p**3/19 - 34*p**2/19 - 54*p/19 + 90/19.
-2*(p - 1)*(p + 3)*(p + 15)/19
What is u in 22*u**4/5 + 328*u**3/5 + 152*u**2 - 192*u/5 - 1152/5 = 0?
-12, -2, 12/11
Find b, given that 3*b**3 - 45*b**2 + 81*b - 39 = 0.
1, 13
Factor 2*l**2 - 5390*l + 5388.
2*(l - 2694)*(l - 1)
Factor 2*u**2/7 + 8*u/7.
2*u*(u + 4)/7
Factor 3*q**3/7 - 387*q**2/7 + 5469*q/7 - 5085/7.
3*(q - 113)*(q - 15)*(q - 1)/7
Determine t so that -405*t**4 - 765*t**3 - 260*t**2 + 100*t = 0.
-10/9, -1, 0, 2/9
Factor k**2/10 - 3073*k/5 + 9443329/10.
(k - 3073)**2/10
Suppose -r**5/3 - 10*r**4 - 277*r**3/3 - 260*r**2 - 676*r/3 = 0. Calculate r.
-13, -2, 0
Solve 129*w**3 - 411*w**2 + 330*w - 48 = 0 for w.
8/43, 1, 2
Determine l so that 2*l**3 + 126*l**2 + 120*l - 248 = 0.
-62, -2, 1
Let -2*f**3/3 + 8*f**2 - 82*f/3 + 20 = 0. What is f?
1, 5, 6
Solve 27*d**5 + 60*d**4 - 1095*d**3 - 1380*d**2 - 252*d = 0.
-7, -1, -2/9, 0, 6
Determine s, given that -63*s**2 + 78*s - 24 = 0.
4/7, 2/3
What is o in 5*o**5 + 15*o**4 - 35*o**3 - 55*o**2 + 30*o + 40 = 0?
-4, -1, 1, 2
Find q, given that 44*q**3 - 96*q**2 + 60*q - 8 = 0.
2/11, 1
Find k such that -2*k**5/5 - 6*k**4/5 - 6*k**3/5 - 2*k**2/5 = 0.
-1, 0
Suppose 4*p**5 + 48*p**4 - 704*p**2 + 960*p = 0. What is p?
-10, -6, 0, 2
Factor 12*x**3/5 - 81*x**2 + 3366*x/5 + 867/5.
3*(x - 17)**2*(4*x + 1)/5
What is q in 4*q**3/9 - 1108*q**2/3 - 2228*q - 3348 = 0?
-3, 837
Factor 2*g**5 - 32*g**4 + 32*g**3 + 1280*g**2 - 2048*g - 16384.
2*(g - 8)**3*(g + 4)**2
Let -49*s**5/4 - 77*s**4 + 327*s**3/2 + 1282*s**2 + 1355*s/4 - 75 = 0. Calculate s.
-5, -3/7, 1/7, 4
Solve -8*w**2/9 + 44*w/9 + 8/3 = 0 for w.
-1/2, 6
Determine q so that -q**2/4 + 85*q/4 - 21 = 0.
1, 84
Find i, given that -i**2 + 3*i = 0.
0, 3
Determine w, given that -2*w**5 + 36*w**4 - 78*w**3 - 1460*w**2 + 5568*w + 6912 = 0.
-6, -1, 8, 9
Let -2*y**5/17 + 2310*y**4/17 - 1067220*y**3/17 + 246527820*y**2/17 - 28473963210*y/17 + 1315497100302/17 = 0. What is y?
231
Solve -5*l**4/4 - 121*l**3/4 - 853*l**2/4 - 1463*l/4 - 363/2 = 0.
-11, -6/5, -1
Let -12*a**5 - 106*a**4 + 34*a**3 + 142*a**2 - 22*a - 36 = 0. Calculate a.
-9, -1, -1/2, 2/3, 1
Factor 4*o**3 - 496*o**2 + 15376*o.
4*o*(o - 62)**2
Determine v, given that 3*v**5/2 + 3309*v**4/2 + 458700*v**3 + 1361250*v**2 = 0.
-550, -3, 0
Find m, given that m**4/6 - 11*m**3/6 + 3*m**2/2 + 11*m/6 - 5/3 = 0.
-1, 1, 10
Factor -l**4/2 - l**3/2.
-l**3*(l + 1)/2
Let 7*r**3 + 40*r**2 + 44*r - 16 = 0. What is r?
-4, -2, 2/7
Factor -3*q**2 + 384*q - 12288.
-3*(q - 64)**2
Factor -6*z**2 + 139*z - 23.
-(z - 23)*(6*z - 1)
Solve 2*l**4 + 20*l**3 + 64*l**2 + 76*l + 30 = 0.
-5, -3, -1
Factor 24*y**3 + 183*y**2 + 96*y - 63.
3*(y + 1)*(y + 7)*(8*y - 3)
Let -3*b**5/7 + 6*b**4 - 144*b**3/7 - 6*b**2 + 21*b = 0. What is b?
-1, 0, 1, 7
What is w in -1220*w**2 - 2416*w + 48 = 0?
-2, 6/305
Factor -2*q**3/9 + 200*q**2/9 + 418*q/3 + 212.
-2*(q - 106)*(q + 3)**2/9
Determine t, given that t**4/3 - 8*t**3 - t**2 + 70*t/3 + 16 = 0.
-1, 2, 24
Factor d**2/5 + 3*d/5 - 18/5.
(d - 3)*(d + 6)/5
Factor -2*y**2/3 - 6*y + 380/3.
-2*(y - 10)*(y + 19)/3
Let 2*j**3/11 - 10*j**2/11 + 14*j/11 - 6/11 = 0. Calculate j.
1, 3
Let -x**3/5 + 591*x**2/5 - 1179*x/5 + 589/5 = 0. Calculate x.
1, 589
Let -2*d**5 - 26*d**4/3 - 86*d**3/9 + 14*d**2/9 + 32*d/9 - 8/9 = 0. Calculate d.
-2, -1, 1/3
Solve p**3 + 16*p**2 - 17*p = 0