*3 + k = 0.
-1, 0, 1
Suppose 2*p**5 + 44*p**4 - 340*p**3 - 5896*p**2 + 48146*p - 70756 = 0. What is p?
-19, 2, 7
Factor 5*m**5 - 60*m**4 + 240*m**3 - 320*m**2.
5*m**2*(m - 4)**3
Let -5*p**3 - 65*p**2 - 260*p - 300 = 0. Calculate p.
-6, -5, -2
Suppose 3*i**2/4 + 135*i/4 - 459/2 = 0. What is i?
-51, 6
Factor 3*u**2 + 165*u + 2178.
3*(u + 22)*(u + 33)
Solve 8*w**5 + 64*w**4 + 18*w**3 - 238*w**2 + 190*w - 42 = 0.
-7, -3, 1/2, 1
Determine f so that -f**3 - 5*f**2 + 36*f = 0.
-9, 0, 4
Determine p so that p**3 - 2*p**2 - p + 2 = 0.
-1, 1, 2
Find h such that -h**4 + 9*h**3 - 3*h**2 - 37*h - 24 = 0.
-1, 3, 8
Factor -2*r**2/5 + 1144*r/5 - 163592/5.
-2*(r - 286)**2/5
Factor -2*x**2/15 + 506*x/15 + 512/5.
-2*(x - 256)*(x + 3)/15
Factor -3*g**2 - 567*g.
-3*g*(g + 189)
Factor z**4/3 - 2*z**3 - 11*z**2/3 + 20*z + 100/3.
(z - 5)**2*(z + 2)**2/3
What is r in -r**5 - 722*r**4 - 130321*r**3 = 0?
-361, 0
Factor -4*a**5 + 92*a**4 - 168*a**3 - 8*a**2 + 172*a - 84.
-4*(a - 21)*(a - 1)**3*(a + 1)
Solve f**3/2 + 35*f**2/2 + 176*f + 384 = 0.
-16, -3
Factor -2*s**2/9 - 314*s/9.
-2*s*(s + 157)/9
Factor 3*j**2 - 270*j - 273.
3*(j - 91)*(j + 1)
What is l in -l**5/3 - 7*l**4 - 46*l**3 - 298*l**2/3 - 87*l - 27 = 0?
-9, -1
Factor -3*t**5/2 - 117*t**4 - 5571*t**3/2 - 12894*t**2 + 165816*t - 296352.
-3*(t - 3)**2*(t + 28)**3/2
Determine v so that -3*v**3 - 15*v**2 = 0.
-5, 0
Suppose -20*t**5 + 115*t**4 + 210*t**3 - 235*t**2 - 70*t = 0. What is t?
-2, -1/4, 0, 1, 7
Factor -2*t**4/7 - 278*t**3/7 - 12690*t**2/7 - 181138*t/7 + 415292/7.
-2*(t - 2)*(t + 47)**3/7
Find z such that -2*z**4/19 - 22*z**3/19 - 2*z**2 - 18*z/19 = 0.
-9, -1, 0
Factor 2*g**2/3 - 32*g - 98/3.
2*(g - 49)*(g + 1)/3
Suppose 2*g**3 - 44*g**2 + 178*g - 136 = 0. What is g?
1, 4, 17
What is s in -4*s**4/3 - 16*s**3/3 - 4*s**2 = 0?
-3, -1, 0
Factor -2*b**3/7 - 58*b**2/7 + 8*b/7 + 232/7.
-2*(b - 2)*(b + 2)*(b + 29)/7
Factor 3*f**3/2 - 819*f**2/2 + 74529*f/2 - 2260713/2.
3*(f - 91)**3/2
Find v such that 3*v**4/2 + 51*v**3/2 + 15*v**2 - 144*v = 0.
-16, -3, 0, 2
Find v such that -v**5 - 452*v**4/3 - 541*v**3 - 290*v**2 + 1772*v/3 + 392 = 0.
-147, -2, -2/3, 1
Factor -2*m**2/7 + 8*m/7 + 10/7.
-2*(m - 5)*(m + 1)/7
Factor 16*a**4 + 180*a**3 + 332*a**2 + 72*a.
4*a*(a + 2)*(a + 9)*(4*a + 1)
Factor 2*p**3/7 + 1160*p**2/7 + 6906*p/7 + 1476.
2*(p + 3)**2*(p + 574)/7
Factor -i**3/7 + 3*i**2/7 + 100*i/7 + 96/7.
-(i - 12)*(i + 1)*(i + 8)/7
Factor -5*m**2 + 60*m + 1265.
-5*(m - 23)*(m + 11)
Factor -5*y**5 + 110*y**4 + 1600*y**3 + 1250*y**2 - 36875*y - 100000.
-5*(y - 32)*(y - 5)*(y + 5)**3
Suppose -10*t**5/9 + 2*t**4/9 + 20*t**3/3 - 92*t**2/9 + 46*t/9 - 2/3 = 0. Calculate t.
-3, 1/5, 1
Factor 2*z**2 - 408*z.
2*z*(z - 204)
Factor -4*l**3 + 584*l**2 - 17860*l + 155952.
-4*(l - 108)*(l - 19)**2
Find f, given that -150*f**3/7 + 240*f**2/7 - 96*f/7 = 0.
0, 4/5
Solve 3*l**3/2 + 63*l**2 + 1323*l/2 = 0.
-21, 0
Solve y**5/4 - 3*y**4 + 13*y**3/2 + 40*y**2 - 675*y/4 + 125 = 0.
-4, 1, 5
Factor -2*a**2/9 + 6676*a/9 - 5571122/9.
-2*(a - 1669)**2/9
Suppose -o**4 - 4*o**3/5 + 14*o**2/5 + 4*o/5 - 9/5 = 0. Calculate o.
-9/5, -1, 1
Solve -5*q**5 + 12*q**4 + 14*q**3 - 12*q**2 - 9*q = 0.
-1, -3/5, 0, 1, 3
Factor -3*u**2 + 87*u/7 + 450/7.
-3*(u + 3)*(7*u - 50)/7
Factor c**3/3 - 7*c**2 + 40*c - 208/3.
(c - 13)*(c - 4)**2/3
Factor 2*c**2/3 - 256*c/3.
2*c*(c - 128)/3
Solve g**3 - 34*g**2 = 0.
0, 34
Suppose -2*f**5/11 + 36*f**4/11 - 248*f**3/11 + 816*f**2/11 - 1280*f/11 + 768/11 = 0. What is f?
2, 4, 6
Find w, given that 490*w**5/3 - 1358*w**4/3 + 1342*w**3/3 - 578*w**2/3 + 112*w/3 - 8/3 = 0.
1/5, 2/7, 1
Solve -y**3/3 - 4*y**2/3 = 0 for y.
-4, 0
Let 4*o**2/5 - 964*o/5 + 3792/5 = 0. What is o?
4, 237
Factor 3*t**2 - 18*t - 48.
3*(t - 8)*(t + 2)
Factor 2*r**2/13 - 36*r/13 + 162/13.
2*(r - 9)**2/13
Factor 18*n**5 - 948*n**4 + 12794*n**3 - 8216*n**2 + 1352*n.
2*n*(n - 26)**2*(3*n - 1)**2
Find f, given that -2*f**2/11 - 2776*f/11 - 963272/11 = 0.
-694
What is i in -20*i**2 - 13672*i + 5472 = 0?
-684, 2/5
Find v, given that 3*v**4 + 36*v**3 = 0.
-12, 0
Factor u**5 + u**4 - 6*u**3.
u**3*(u - 2)*(u + 3)
Find n such that -4*n**2/3 - 56*n/3 - 160/3 = 0.
-10, -4
Factor 5*m**3 + 25*m**2 - 5*m - 25.
5*(m - 1)*(m + 1)*(m + 5)
Factor -5*b**4 + 75*b**3 - 405*b**2 + 945*b - 810.
-5*(b - 6)*(b - 3)**3
Factor -c**2/2 - 3401*c/2.
-c*(c + 3401)/2
Solve c**2/2 - 78*c - 157/2 = 0 for c.
-1, 157
Factor -3*c**3 + 432*c**2 - 15552*c.
-3*c*(c - 72)**2
What is w in -w**5/5 - 18*w**4/5 - 22*w**3 - 268*w**2/5 - 273*w/5 - 98/5 = 0?
-7, -2, -1
Factor 3*o**3/7 - 330*o**2/7 + 9396*o/7 - 17496/7.
3*(o - 54)**2*(o - 2)/7
Factor -2*k**2/11 - 508*k/11 - 46.
-2*(k + 1)*(k + 253)/11
Factor 5*k**5 - 75*k**4 + 330*k**3 - 590*k**2 + 465*k - 135.
5*(k - 9)*(k - 3)*(k - 1)**3
Solve -a**2/10 - 69*a/10 = 0.
-69, 0
Factor -5*y**5 + 1580*y**4 - 126390*y**3 + 248060*y**2 - 123245*y.
-5*y*(y - 157)**2*(y - 1)**2
Solve -25*g**5/2 + 385*g**4/2 + 1589*g**3/2 + 2227*g**2/2 + 676*g + 152 = 0.
-1, -4/5, 19
Factor -w**2/3 + 6*w - 27.
-(w - 9)**2/3
Factor 3*a**3 + 27*a**2 - 156*a.
3*a*(a - 4)*(a + 13)
Factor t**3/3 + 457*t**2/3 + 1816*t/3 + 604.
(t + 2)**2*(t + 453)/3
Find k such that -13861125*k**4/2 + 4670325*k**3 - 1606905*k**2/2 + 5610*k - 10 = 0.
2/555, 1/3
Factor 9*u**2/8 - 109*u/2 + 253/2.
(u - 46)*(9*u - 22)/8
Solve -2*j**2 + 62*j - 116 = 0 for j.
2, 29
Factor -4*t**4/7 - 4*t**3/7 + 24*t**2/7.
-4*t**2*(t - 2)*(t + 3)/7
Factor 50*x**4 - 5620*x**3 + 140162*x**2 + 998112*x + 1577088.
2*(x + 3)**2*(5*x - 296)**2
Solve 3*k**3/4 - 663*k**2/4 + 1317*k/4 - 657/4 = 0 for k.
1, 219
Solve y**3/4 - 35*y**2/4 + 89*y/2 + 126 = 0 for y.
-2, 9, 28
Factor -4*b**2/7 - 712*b/7 - 31684/7.
-4*(b + 89)**2/7
Solve 14*z**5/3 + 58*z**4 + 716*z**3/3 + 372*z**2 + 710*z/3 + 50 = 0.
-5, -1, -3/7
Suppose -a**5/5 + 4*a**4/5 = 0. Calculate a.
0, 4
Suppose 5*c**3/4 - 835*c**2/2 + 3325*c/4 - 415 = 0. What is c?
1, 332
Factor -158*k**2/9 + 1742*k/9 - 44/9.
-2*(k - 11)*(79*k - 2)/9
Let 2*k**5/7 - 274*k**4/7 + 542*k**3/7 - 270*k**2/7 = 0. What is k?
0, 1, 135
Factor -4*d**4 + 12*d**2 - 8*d.
-4*d*(d - 1)**2*(d + 2)
Factor -2*x**2/7 + 106*x/7 + 48.
-2*(x - 56)*(x + 3)/7
Let -28*l**2 - 4328*l - 2464 = 0. Calculate l.
-154, -4/7
Find h, given that -5*h**3/2 - 40*h**2 - 45*h/2 + 225 = 0.
-15, -3, 2
Factor -g**2/7 + 225*g/7 + 226/7.
-(g - 226)*(g + 1)/7
Factor -2*y**5 - 22*y**4 - 92*y**3 - 184*y**2 - 176*y - 64.
-2*(y + 1)*(y + 2)**3*(y + 4)
Factor -2*v**2/9 + 404*v/9 + 230.
-2*(v - 207)*(v + 5)/9
Find q such that 4*q**2 + 6544*q + 13072 = 0.
-1634, -2
Suppose -f**2/2 + 373*f/2 - 371 = 0. Calculate f.
2, 371
Let 3*z**3 + 12*z**2 + 9*z = 0. What is z?
-3, -1, 0
Factor 2*z**4 + 36*z**3 - 120*z**2 + 124*z - 42.
2*(z - 1)**3*(z + 21)
Factor -r**4/4 - 5*r**3/2 - 13*r**2/4 + 6*r.
-r*(r - 1)*(r + 3)*(r + 8)/4
Factor -4*v**3 + 44*v**2 + 4*v - 44.
-4*(v - 11)*(v - 1)*(v + 1)
Suppose -5*v**2/9 + 28*v/9 - 13/3 = 0. What is v?
13/5, 3
Determine o so that -5*o**4 - 2150*o**3 - 233265*o**2 - 460100*o - 228980 = 0.
-214, -1
Let -2*c**4/11 + 10*c**3/11 - 8*c**2/11 = 0. Calculate c.
0, 1, 4
Solve 4*k**3 - 4*k**2 = 0 for k.
0, 1
Determine o, given that -3*o**2/8 + 99*o/8 + 51/4 = 0.
-1, 34
Factor p**3/4 + 7*p**2/4 + 4*p + 3.
(p + 2)**2*(p + 3)/4
Let -3*q**4 + 33*q**3 + 48*q**2 - 528*q = 0. Calculate q.
-4, 0, 4, 11
Factor -5*n**2 + 485*n - 480.
-5*(n - 96)*(n - 1)
Suppose -q**2 + 62*q - 61 = 0. What is q?
1, 61
Let -2*y**3/3 + 14*y + 40/3 = 0. Calculate y.
-4, -1, 5
Determine i, given that -5*i**5 - 25*i**4 + 35*i**3 + 205*i**2 + 150*i = 0.
-5, -2, -1, 0, 3
Factor -l**3 + 9*l**2 - 8*l - 60.
-(l - 6)*(l - 5)*(l + 2)
Factor m**4/4 + m**3/2 - 3*m**2/4.
m**2*(m - 1)*(m + 3)/4
Factor 12*r**3 + 160*r**2 + 428*r - 360.
4*(r + 5)*(r + 9)*(3*r - 2)
Factor k**5/7 - 57*k**4/7 + 111*k**3/7 - 55*k**2/7.
k**2*(k - 55)*(k - 1)**2/7
Factor i**5/5 - 2*i**4 + 29*i**3/5 - 8*i**2/5 - 48*i/5.
i*(i - 4)**2*(i - 3)*(i + 1)/5
Find k such that -3*k**5 + 48*k**4 - 207*k**3 + 78*k**2 + 876*k - 1080 = 0.
-2, 2, 5, 9
Factor 2*j**2 - 324*j - 656.
2*(j - 164)*(j + 2)
Determine r so that -2*r**3/11 + 12*r**2/11 + 26*r/11 - 84/11 = 0.
-3, 2, 7
Suppose -b**3 - 3*b**2 - 2*b = 0. Calculate b.
-2, -1, 0
Determine n so that -4*n**4 - 316*n**3 + 2004*n**2 - 3060*n = 0.
-85, 0, 3
Find b, given that -8*b