
Factor 3*w**4 - 144*w**3 - 459*w**2 - 12*w + 612.
3*(w - 51)*(w - 1)*(w + 2)**2
Factor 2*b**2/13 - 172*b/13 - 2134/13.
2*(b - 97)*(b + 11)/13
Solve -h**5/7 + 3*h**4/7 + 3*h**3/7 - h**2 - 6*h/7 = 0 for h.
-1, 0, 2, 3
Find t, given that -2*t**5 - 208*t**4 - 6186*t**3 - 40932*t**2 - 100224*t - 82944 = 0.
-48, -3, -2
Factor -x**4/2 - 19*x**3/2 - 32*x**2 - 30*x.
-x*(x + 2)**2*(x + 15)/2
Suppose -4*n**4 - 28*n**3 - 20*n**2 + 28*n + 24 = 0. Calculate n.
-6, -1, 1
Let 2*a**4/7 + 100*a**3/7 + 696*a**2/7 - 4048*a/7 + 640 = 0. What is a?
-40, -14, 2
Factor 2*u**3 + 218*u**2 + 5830*u - 6050.
2*(u - 1)*(u + 55)**2
Suppose -3*z**2/7 - 150*z/7 - 1875/7 = 0. Calculate z.
-25
Factor -5*d**4 - 10*d**3 + 15*d**2.
-5*d**2*(d - 1)*(d + 3)
Determine d so that d**4 - 35*d**3 + 202*d**2 - 168*d = 0.
0, 1, 6, 28
Let 4*c**3/3 + 64*c**2/3 + 52*c/3 - 40 = 0. Calculate c.
-15, -2, 1
Factor 2*z**5 + 560*z**4 + 39200*z**3.
2*z**3*(z + 140)**2
Determine x so that 4*x**5 - 28*x**3 + 24*x**2 = 0.
-3, 0, 1, 2
What is g in -g**4 - 15*g**3/4 + 129*g**2/4 + 415*g/4 - 525/4 = 0?
-5, 1, 21/4
Factor -f**4/6 + 32*f**3/3 + 115*f**2/2.
-f**2*(f - 69)*(f + 5)/6
Factor 2*f**2/5 - 22*f/5.
2*f*(f - 11)/5
Determine v so that 286*v**3 + 118*v**2 + 12*v = 0.
-3/13, -2/11, 0
Factor -5*w**3 + 510*w**2 - 17340*w + 196520.
-5*(w - 34)**3
Factor -9*b**5/2 + 33*b**4/2 - 45*b**3/2 + 27*b**2/2 - 3*b.
-3*b*(b - 1)**3*(3*b - 2)/2
Factor 5*y**3 + 1440*y**2.
5*y**2*(y + 288)
Factor k**4 - 4*k**3 - 35*k**2 + 6*k + 144.
(k - 8)*(k - 2)*(k + 3)**2
Suppose d**3/4 + 7*d**2/4 - 13*d/2 - 18 = 0. Calculate d.
-9, -2, 4
Solve y**3 + 19*y**2 - 45*y - 63 = 0.
-21, -1, 3
Determine v, given that 2*v**5/3 - 605*v**4/3 + 300*v**3 + 910*v**2/3 - 2110*v/3 + 301 = 0.
-3/2, 1, 301
Determine b, given that 4*b**5 + 164*b**4 + 1144*b**3 + 3000*b**2 + 3204*b + 1188 = 0.
-33, -3, -1
Factor 2*b**3/9 - 1754*b**2/9 - 1756*b/9.
2*b*(b - 878)*(b + 1)/9
Factor -10*s**3 + 18*s**2 + 4*s.
-2*s*(s - 2)*(5*s + 1)
Factor -4*p**2 + 163*p + 41.
-(p - 41)*(4*p + 1)
Factor -3*q**3 + 9*q**2.
-3*q**2*(q - 3)
What is j in 2*j**2 + 122*j = 0?
-61, 0
Determine p, given that -3*p**4 - 36*p**3 - 129*p**2 - 180*p - 84 = 0.
-7, -2, -1
Factor -d**3/4 - d**2/2 + 39*d/4 - 18.
-(d - 3)**2*(d + 8)/4
Factor x**3 - 59*x**2 + 327*x - 477.
(x - 53)*(x - 3)**2
Suppose r**3/7 + 25*r**2/7 - 62*r/7 - 216/7 = 0. What is r?
-27, -2, 4
Factor -20*h**3 + 952*h**2 + 384*h.
-4*h*(h - 48)*(5*h + 2)
Suppose 5*d**2 + 150*d - 155 = 0. Calculate d.
-31, 1
Factor 2*y**5 - 2*y**4 - 6*y**3 + 2*y**2 + 4*y.
2*y*(y - 2)*(y - 1)*(y + 1)**2
Suppose c**3/5 + 6*c**2 - 31*c/5 = 0. What is c?
-31, 0, 1
Suppose 5*u**2 - 1285*u + 1280 = 0. Calculate u.
1, 256
Determine h so that 8*h**2/5 - 1134*h/5 - 284/5 = 0.
-1/4, 142
Suppose 3*o**2/8 - 627*o/8 + 675 = 0. What is o?
9, 200
Factor 2*j**4/3 + 8*j**3/3 + 2*j**2 - 8*j/3 - 8/3.
2*(j - 1)*(j + 1)*(j + 2)**2/3
Solve -4*x**4 + 60*x**3 = 0.
0, 15
What is l in -4*l**3 - 10360*l**2 + 4*l + 10360 = 0?
-2590, -1, 1
Factor z**3/2 + 327*z**2/2 + 35643*z/2 + 1295029/2.
(z + 109)**3/2
Factor -4*p**3 - 52*p**2 - 48*p.
-4*p*(p + 1)*(p + 12)
Factor 243*k**3 + 70821*k**2 + 31440*k + 3492.
3*(k + 291)*(9*k + 2)**2
Let 4*l**5 - 12*l**4 - 24*l**3 + 104*l**2 - 108*l + 36 = 0. Calculate l.
-3, 1, 3
Suppose 117*m**2 - 6*m = 0. Calculate m.
0, 2/39
Let -25*u**3 - 60*u**2 - 20*u = 0. Calculate u.
-2, -2/5, 0
Solve -u**5 + 59*u**4 + 9*u**3 - 535*u**2 + 224*u + 708 = 0 for u.
-3, -1, 2, 59
Let -u**2 + 645*u + 1294 = 0. Calculate u.
-2, 647
Find q, given that -20*q**4 - 85*q**3 - 115*q**2 - 50*q = 0.
-2, -5/4, -1, 0
Find p such that 4*p**5 - 259*p**4 + 936*p**3 - 1294*p**2 + 796*p - 183 = 0.
3/4, 1, 61
Factor -2*k**2/13 + 400*k/13 - 20000/13.
-2*(k - 100)**2/13
Factor 54*i**4/5 - 84*i**3/5 - 136*i**2/15 - 16*i/15.
2*i*(i - 2)*(9*i + 2)**2/15
Let 4*j**4 + 32*j**3 - 172*j**2 + 232*j - 96 = 0. Calculate j.
-12, 1, 2
Factor 2*v**3 - 126*v + 324.
2*(v - 6)*(v - 3)*(v + 9)
Let z**3 - 23*z**2/5 - 38*z - 72/5 = 0. What is z?
-4, -2/5, 9
Find v, given that 3*v**5 - 25*v**4/4 - 23*v**3/2 + 7*v**2 + 17*v/2 - 3/4 = 0.
-1, 1/12, 1, 3
Factor -15*c**3 - 275*c**2 - 570*c - 160.
-5*(c + 2)*(c + 16)*(3*c + 1)
Factor v**4 + 37*v**3 + 137*v**2 + 167*v + 66.
(v + 1)**2*(v + 2)*(v + 33)
Find r, given that 3*r**2 + 36*r + 108 = 0.
-6
What is k in -5*k**2 + 41090*k - 84419405 = 0?
4109
Factor 18*r**2 + 140*r - 32.
2*(r + 8)*(9*r - 2)
Let -2*f**2/9 + 668*f/9 - 55778/9 = 0. What is f?
167
Factor 5*t**3 - 40*t**2 - 475*t - 750.
5*(t - 15)*(t + 2)*(t + 5)
Let 5*k**2 + 600*k + 18000 = 0. What is k?
-60
Solve -8*m**5 - 20*m**4 + 20*m**3 + 20*m**2 - 12*m = 0 for m.
-3, -1, 0, 1/2, 1
Find j, given that -j**4/2 + 4*j**3 - 11*j**2/2 - 10*j = 0.
-1, 0, 4, 5
Factor 5*b**3 + 240*b**2 + 880*b.
5*b*(b + 4)*(b + 44)
Find m such that m**2/3 - 35*m/3 + 34/3 = 0.
1, 34
Factor -3*v**2 - 5058*v - 2131947.
-3*(v + 843)**2
Factor -3*q**2/7 + 1251*q/7.
-3*q*(q - 417)/7
Let 2*x**5/3 - 2*x**4/3 - 4*x**3 + 28*x**2/3 - 22*x/3 + 2 = 0. Calculate x.
-3, 1
What is k in -2*k**3/5 - 2*k**2 - 6*k/5 + 18/5 = 0?
-3, 1
Determine g so that 3*g**2/4 - 396*g = 0.
0, 528
Let 4*l**5/5 + 56*l**4/5 + 132*l**3/5 - 448*l**2/5 + 256*l/5 = 0. What is l?
-8, 0, 1
Determine p so that 2*p**2 + 22*p + 56 = 0.
-7, -4
Factor 93*m**2 - 95*m + 2.
(m - 1)*(93*m - 2)
Factor -p**3/2 + 37*p**2/2 - 124*p + 232.
-(p - 29)*(p - 4)**2/2
Find i, given that -5*i**2 - 100*i - 180 = 0.
-18, -2
Let -2*f**2 - 108*f + 342 = 0. Calculate f.
-57, 3
Factor -2*o**3/3 - 98*o**2/3 - 32*o.
-2*o*(o + 1)*(o + 48)/3
Suppose -10*v**5/3 + 34*v**4/3 - 16*v**3/3 - 8*v**2 = 0. What is v?
-3/5, 0, 2
What is d in 2*d**2/3 - 2956*d + 3276726 = 0?
2217
Factor 2*x**3/11 + 16*x**2/11 - 2*x/11 - 16/11.
2*(x - 1)*(x + 1)*(x + 8)/11
Suppose -2*r**5 - 54*r**4 - 438*r**3 - 1010*r**2 - 912*r - 288 = 0. What is r?
-12, -1
Determine b so that 4*b**3 + 176*b**2 + 796*b + 624 = 0.
-39, -4, -1
Factor 2*q**4/9 - 14*q**3 + 640*q**2/3 + 2048*q/9.
2*q*(q - 32)**2*(q + 1)/9
Factor 3*l**5/5 - 2*l**4 + 12*l**3/5 - 6*l**2/5 + l/5.
l*(l - 1)**3*(3*l - 1)/5
Factor 5*j**5 + 25*j**4 - 35*j**3 - 25*j**2 + 30*j.
5*j*(j - 1)**2*(j + 1)*(j + 6)
Factor 2*h**2 + 200*h + 5000.
2*(h + 50)**2
Solve -15*r**5 + 70*r**4 + 155*r**3 - 550*r**2 - 620*r + 600 = 0 for r.
-2, 2/3, 3, 5
Factor 14*w**2/19 + 4686*w/19 - 1340/19.
2*(w + 335)*(7*w - 2)/19
Find n such that 4*n**2 - 100 = 0.
-5, 5
Factor -2*l**5 - 18*l**4 + 42*l**3 - 22*l**2.
-2*l**2*(l - 1)**2*(l + 11)
Determine l, given that -3*l**4/7 - 810*l**3/7 + 2484*l**2/7 + 7386*l/7 + 585 = 0.
-273, -1, 5
Determine t so that -2*t**4 - 172*t**3 - 3186*t**2 = 0.
-59, -27, 0
Factor -2*c**2/5 - 28*c/5 + 414/5.
-2*(c - 9)*(c + 23)/5
Factor 2*c**2/3 + 14*c/3 - 12.
2*(c - 2)*(c + 9)/3
Determine i, given that 28*i**4 + 48*i**3 - 16*i**2 = 0.
-2, 0, 2/7
Let -2*n**2 - 6300*n - 4961250 = 0. Calculate n.
-1575
What is k in -9*k**5/5 - 6*k**4 + 207*k**3/5 + 324*k**2/5 - 348*k/5 - 144/5 = 0?
-6, -2, -1/3, 1, 4
What is n in -8*n**2 - 26*n - 20 = 0?
-2, -5/4
Solve 2*m**2/19 + 396*m/19 + 19602/19 = 0 for m.
-99
Factor 26*s**2/7 + 16*s/7 - 10/7.
2*(s + 1)*(13*s - 5)/7
Let 2*x**5 + 58*x**4 - 18*x**3 - 514*x**2 + 256*x + 696 = 0. Calculate x.
-29, -3, -1, 2
Factor -2*k**2/7 + 214*k/7 - 60.
-2*(k - 105)*(k - 2)/7
Suppose -r**2 - 309*r - 614 = 0. Calculate r.
-307, -2
Let -3*h**4 - 447*h**3 + 456*h**2 + 900*h = 0. Calculate h.
-150, -1, 0, 2
Solve 50*i**5/11 + 160*i**4/11 - 1102*i**3/11 + 1492*i**2/11 - 712*i/11 + 112/11 = 0 for i.
-7, 2/5, 1, 2
Determine q, given that 4*q**5 + 8*q**4 - 60*q**3 - 80*q**2 + 176*q + 192 = 0.
-4, -2, -1, 2, 3
What is a in 7*a**2/3 - 82*a/3 - 8 = 0?
-2/7, 12
Find k such that -3*k**2 + 207*k - 402 = 0.
2, 67
Find j such that 5*j**2 + 880*j - 885 = 0.
-177, 1
Solve b**5/2 - 69*b**4/2 + 34*b**3 = 0.
0, 1, 68
Solve -3*c**3 + 78*c**2 - 429*c + 570 = 0 for c.
2, 5, 19
Factor -y**4/5 + 18*y**3/5 - 33*y**2/5 + 16*y/5.
-y*(y - 16)*(y - 1)**2/5
Determine n, given that 2*n**2/11 - 620*n/11 + 618/11 = 0.
1, 309
Solve n**3/4 + 11*n**2/4 + 5*n/2 - 18 = 0.
-9, -4, 2
Factor -5*b**2 + 95*b - 300.
-5*(b - 15)*(b - 4)
Find c, given that 2*c**5/3 - 16*c**3/3 + 4*c**2 + 14*c/3 - 4 = 0.
-3, -1, 1, 2
Determine w, given that -w**3 + 38*w**2 + 215*w = 0.
-5, 0, 43
What is z in -3*z*