 - 2*r**2/5 = 0. Calculate r.
0, 3
Factor -m**3/6 + m**2/3.
-m**2*(m - 2)/6
Find q, given that 6*q**4 + 14*q**3 - 18*q**2 - 14*q + 12 = 0.
-3, -1, 2/3, 1
Factor 7*t**4/2 + 27*t**3 + 33*t**2/2 - 7*t.
t*(t + 1)*(t + 7)*(7*t - 2)/2
Factor -w**3/5 - 831*w**2/5 - 1658*w/5.
-w*(w + 2)*(w + 829)/5
Solve g**3/3 + 2080*g**2/3 + 1077428*g/3 - 4343056/3 = 0.
-1042, 4
Factor -5*a**3 - 85*a**2 - 210*a.
-5*a*(a + 3)*(a + 14)
Factor -158*y**3/3 + 2*y**2/9.
-2*y**2*(237*y - 1)/9
Factor -k**4/5 - 199*k**3/5 + 603*k**2/5 - 121*k + 202/5.
-(k - 1)**3*(k + 202)/5
What is u in 10*u**3/11 - 4*u**2 + 46*u/11 - 12/11 = 0?
2/5, 1, 3
Factor -9*y**2/5 - 32*y + 36/5.
-(y + 18)*(9*y - 2)/5
Factor 3*p**2/4 - 522*p + 90828.
3*(p - 348)**2/4
Factor -k**2 + 57*k/8 - 99/8.
-(k - 3)*(8*k - 33)/8
Find p, given that -p**4/4 + p**3/4 + 7*p**2/2 - 6*p = 0.
-4, 0, 2, 3
Factor -r**2 + 197*r - 196.
-(r - 196)*(r - 1)
Factor 5*b**5 + 155*b**4 + 1120*b**3 - 1280*b**2.
5*b**2*(b - 1)*(b + 16)**2
Let -3*v**4 + 900*v**3 + 4551*v**2 + 7308*v + 3660 = 0. What is v?
-2, -1, 305
Factor -4*n**4/5 + 7*n**3/5 + 98*n**2/5 + 24*n/5.
-n*(n - 6)*(n + 4)*(4*n + 1)/5
Solve 76*r**4 + 136*r**3 - 108*r**2 - 136*r + 32 = 0 for r.
-2, -1, 4/19, 1
Find g, given that -3*g**4 - 9*g**3 + 57*g**2 + 9*g - 54 = 0.
-6, -1, 1, 3
Find q such that 5*q**4 + 230*q**3 + 615*q**2 - 1330*q - 1720 = 0.
-43, -4, -1, 2
Factor -2*h**2/9 + 8*h/3 - 8.
-2*(h - 6)**2/9
Solve -3*p**2 + 2457*p = 0.
0, 819
Find i, given that 16*i**4 + 32*i**3 - 196*i**2 + 208*i - 60 = 0.
-5, 1/2, 1, 3/2
Let -11*x**3/2 + 14*x**2 - 23*x/2 + 3 = 0. Calculate x.
6/11, 1
Factor -2*z**5 - 10*z**4.
-2*z**4*(z + 5)
Let -20*t**4 + 615*t**3 - 2525*t**2 + 1410*t + 520 = 0. Calculate t.
-1/4, 1, 4, 26
Let 28*m**5/5 + 64*m**4/5 - 628*m**3/5 + 152*m**2/5 + 1104*m/5 + 288/5 = 0. What is m?
-6, -1, -2/7, 2, 3
Factor 5*t**3 - 365*t**2 + 710*t.
5*t*(t - 71)*(t - 2)
Factor -20*m**3 + 436*m**2 - 2332*m - 484.
-4*(m - 11)**2*(5*m + 1)
Factor -5*m**3/6 - 40*m**2/3 - 130*m/3 - 40.
-5*(m + 2)**2*(m + 12)/6
Factor -2*r**5/13 - 1100*r**4/13 - 151250*r**3/13.
-2*r**3*(r + 275)**2/13
Suppose -2*x**2/17 - 9460*x/17 - 11186450/17 = 0. Calculate x.
-2365
Factor -2*c**4/9 + 10*c**3 - 150*c**2 + 750*c.
-2*c*(c - 15)**3/9
Factor -3*f**3/7 - 144*f**2/7 - 267*f/7 + 414/7.
-3*(f - 1)*(f + 3)*(f + 46)/7
Factor f**3/3 + 49*f**2 + 2392*f + 116272/3.
(f + 43)*(f + 52)**2/3
Solve -2*i**5 - 3*i**4/2 + 29*i**3/2 + 45*i**2/2 + 11*i/2 - 3 = 0 for i.
-2, -1, 1/4, 3
Factor 20*g**3 + 140*g**2 + 125*g + 30.
5*(g + 6)*(2*g + 1)**2
Factor 22*o**2 + 178*o + 16.
2*(o + 8)*(11*o + 1)
Factor -2*z**3/7 - 4*z**2/7 + 10*z/7 + 12/7.
-2*(z - 2)*(z + 1)*(z + 3)/7
Factor -5*a**2 - 65*a - 180.
-5*(a + 4)*(a + 9)
Factor 2*c**2/3 + 4*c - 48.
2*(c - 6)*(c + 12)/3
Factor -16*w**5/7 + 30*w**4/7 - 12*w**3/7 - 2*w**2/7.
-2*w**2*(w - 1)**2*(8*w + 1)/7
Factor f**5 - 11*f**4 + 8*f**3 + 20*f**2.
f**2*(f - 10)*(f - 2)*(f + 1)
Factor -i**4/5 + 16*i**3/5 - 96*i**2/5 + 256*i/5 - 256/5.
-(i - 4)**4/5
Factor -3*f**4/5 + 39*f**3/5 - 69*f**2/5 + 33*f/5.
-3*f*(f - 11)*(f - 1)**2/5
Factor l**4 + 492*l**3 + 61974*l**2 + 358668*l + 531441.
(l + 3)**2*(l + 243)**2
Factor 375*z**3 + 152775*z**2 + 20746845*z + 939140517.
3*(5*z + 679)**3
Factor -5*d**3/4 - 183*d**2/2 - 433*d/4 - 18.
-(d + 1)*(d + 72)*(5*d + 1)/4
Factor -4*c**2 + 28*c - 40.
-4*(c - 5)*(c - 2)
Find c, given that -8*c**3 + 2874*c**2/5 + 436*c/5 - 288/5 = 0.
-2/5, 1/4, 72
Solve -5*j**5 + 395*j**4 - 7590*j**3 - 8800*j**2 + 16000*j = 0 for j.
-2, 0, 1, 40
Find y such that -14*y**5/17 + 2020*y**4/17 - 12336*y**3/17 + 1568*y**2 - 22112*y/17 + 4416/17 = 0.
2/7, 2, 138
Find x, given that -3*x**3 + 177*x**2 - 2325*x - 8649 = 0.
-3, 31
Suppose 2*v**2 + 292*v + 10658 = 0. Calculate v.
-73
Let 2*x**3/17 + 292*x**2/17 + 3794*x/17 + 12936/17 = 0. Calculate x.
-132, -7
Let -2*c**4 + 20*c**3 + 200*c**2 - 2000*c = 0. What is c?
-10, 0, 10
Factor i**4/8 + 501*i**3/4 + 252001*i**2/8 + 62625*i + 31250.
(i + 1)**2*(i + 500)**2/8
Suppose -b**3/9 - 43*b**2/9 = 0. Calculate b.
-43, 0
Find n such that 5*n**2/3 + 90*n + 1215 = 0.
-27
Factor 70*h**3 - 545*h**2 + 395*h - 70.
5*(h - 7)*(2*h - 1)*(7*h - 2)
Solve -2*l**5/7 - 6*l**4/7 + 16*l**3/7 + 24*l**2/7 - 32*l/7 = 0 for l.
-4, -2, 0, 1, 2
Suppose 21*j**2/4 - 39*j/4 = 0. Calculate j.
0, 13/7
Find q such that -5*q**4 - 1125*q**3 - 1120*q**2 = 0.
-224, -1, 0
Factor u**3 - 9*u**2 - 82*u - 120.
(u - 15)*(u + 2)*(u + 4)
Factor 4*q**4 - 4*q**3 - 28*q**2 + 52*q - 24.
4*(q - 2)*(q - 1)**2*(q + 3)
Factor 2*a**2/5 - 66*a + 328/5.
2*(a - 164)*(a - 1)/5
Suppose o**2/3 - 89*o/3 + 86 = 0. Calculate o.
3, 86
Determine t so that -16*t**3 - 52*t**2 - 44*t - 8 = 0.
-2, -1, -1/4
Let 2*a**3/11 + 1242*a**2/11 + 193440*a/11 + 192200/11 = 0. What is a?
-310, -1
Determine v so that 2*v**3 + 86*v**2 - 368*v + 376 = 0.
-47, 2
Factor 5*x**5 - 5*x**4 - 45*x**3 - 55*x**2 - 20*x.
5*x*(x - 4)*(x + 1)**3
Factor -5*r**4 - 510*r**3 - 1005*r**2 - 500*r.
-5*r*(r + 1)**2*(r + 100)
Factor 3*w**2/5 - 216*w/5 + 3888/5.
3*(w - 36)**2/5
Let 2*n**5/3 + 2*n**4/3 - 2*n**3 - 2*n**2/3 + 4*n/3 = 0. What is n?
-2, -1, 0, 1
What is f in f**4/6 + 2*f**3/3 + f**2/3 - 2*f/3 - 1/2 = 0?
-3, -1, 1
Factor 2*s**2/11 + 196*s/11 + 194/11.
2*(s + 1)*(s + 97)/11
Suppose 5*q**5 - 360*q**4 + 2300*q**3 - 1590*q**2 - 2305*q + 1950 = 0. Calculate q.
-1, 1, 6, 65
Determine z so that 2*z**4/3 + 16*z**3 + 30*z**2 + 44*z/3 = 0.
-22, -1, 0
What is m in 4*m**3/5 - 12*m/5 + 8/5 = 0?
-2, 1
Factor -3*t**5 - 75*t**4 - 567*t**3 - 729*t**2 + 4374*t.
-3*t*(t - 2)*(t + 9)**3
Solve 3*s**5 - 48*s**4 + 207*s**3 - 6*s**2 - 840*s - 576 = 0.
-1, 4, 6, 8
Suppose 108*w**5 - 69*w**4 - 156*w**3 + 87*w**2 + 30*w = 0. What is w?
-10/9, -1/4, 0, 1
What is k in -k**4/3 - 2*k**3 + 8*k**2 - 26*k/3 + 3 = 0?
-9, 1
Solve -v**3 + 8*v**2 + 25*v - 200 = 0.
-5, 5, 8
Find d, given that -d**2 - 209*d/4 + 159/4 = 0.
-53, 3/4
Let k**5/2 - 3*k**4/2 - 3*k**3 + 14*k**2 - 12*k = 0. Calculate k.
-3, 0, 2
Factor 1024*y**3 - 63616*y**2 + 7940*y - 248.
4*(y - 62)*(16*y - 1)**2
Find x, given that -105*x**3 - 535*x**2 - 680*x - 60 = 0.
-3, -2, -2/21
Let -5*q**3 - 15*q**2 - 10*q = 0. What is q?
-2, -1, 0
Factor -2*j**2/21 - 562*j/21 + 2860/21.
-2*(j - 5)*(j + 286)/21
Factor -4*t**2 + 64.
-4*(t - 4)*(t + 4)
Factor i**3/2 + 63*i**2/2 + 891*i/2 - 3267/2.
(i - 3)*(i + 33)**2/2
Suppose 3*v**2/7 - 177*v/7 - 180/7 = 0. What is v?
-1, 60
Factor -115*r**4 - 25*r**3.
-5*r**3*(23*r + 5)
Factor s**2/3 - 790*s/3 + 1576/3.
(s - 788)*(s - 2)/3
Let 2*m**4 + 14*m**3 + 22*m**2 + 10*m = 0. What is m?
-5, -1, 0
What is c in 4*c**4 + 20*c**3 - 12*c**2 - 52*c + 40 = 0?
-5, -2, 1
Factor -i**2/3 + 8*i/3 + 3.
-(i - 9)*(i + 1)/3
Let u**3 + 6*u**2 - 36*u + 40 = 0. Calculate u.
-10, 2
Suppose -2*k**2/3 + 24*k - 216 = 0. Calculate k.
18
Determine l, given that -3*l**3/5 - 1467*l**2/5 - 585*l - 1461/5 = 0.
-487, -1
Factor -2*n**4/3 - 1580*n**3/3 - 526*n**2.
-2*n**2*(n + 1)*(n + 789)/3
Factor -s**3/9 + 10*s**2/9 - 28*s/9 + 8/3.
-(s - 6)*(s - 2)**2/9
Suppose -2*z**4/11 - 2*z**3/11 + 16*z**2/11 + 24*z/11 = 0. What is z?
-2, 0, 3
Factor -3*n**3/4 - 255*n**2/4 - 5289*n/4 + 5547/4.
-3*(n - 1)*(n + 43)**2/4
Factor -2*w**5/15 + 2*w**3/5 - 4*w**2/15.
-2*w**2*(w - 1)**2*(w + 2)/15
Suppose 4*s**2/3 - 4*s/3 - 8 = 0. What is s?
-2, 3
Let -30*y**5 - 682*y**4/5 - 466*y**3/5 + 866*y**2/5 + 504*y/5 - 72/5 = 0. What is y?
-3, -2, -2/3, 3/25, 1
Factor 3*c**2/7 + 24*c/7 + 36/7.
3*(c + 2)*(c + 6)/7
Factor 9*s**2 - 147*s + 48.
3*(s - 16)*(3*s - 1)
Factor c**2/4 - 2533*c/2 + 6416089/4.
(c - 2533)**2/4
Solve -y**4/4 - y**3/4 + y**2/2 = 0.
-2, 0, 1
Factor 2*c**2/11 + 100*c/11 + 1250/11.
2*(c + 25)**2/11
Solve 2*g**3/3 - 230*g**2 + 19722*g + 59858/3 = 0.
-1, 173
Factor 4*m**5/7 - 4*m**4 + 64*m**3/7 - 48*m**2/7.
4*m**2*(m - 3)*(m - 2)**2/7
Factor 4*m**3 + 4*m**2 - 384*m - 1584.
4*(m - 11)*(m + 6)**2
Solve z**4/5 + 42*z**3/5 + 76*z**2/5 - 168*z/5 - 64 = 0 for z.
-40, -2, 2
Let m**5/8 - 15*m**4/4 - 53*m**3/2 - 75*m**2/4 + 211*m/8 + 45/2 = 0. Calculate m.
-5, -1, 1, 36
Let -38809*q**2 + 197*q - 1/4 = 0. What is q?
1/394
Factor -16*s**4 + 1320*s**3 - 649*s**2 - 573*s - 82.
-(s - 82)*(s - 1)*(4*s + 1)**2
Factor -4*t**2 + 24*t + 108.
-4*(t - 9)*(t + 3)
Find z such that -2*z**3/9 - 8*z**2/3 + 56*z/9 = 0.
-14, 0, 2
Solve -2*f*