7442*k = 0.
0, 61
Factor -5*u**4 - 1220*u**3 - 88110*u**2 - 792100*u + 81071435.
-5*(u - 23)*(u + 89)**3
Factor -5*f**3 - 90*f**2 - 235*f - 150.
-5*(f + 1)*(f + 2)*(f + 15)
Solve 3*t**3 + 3984*t**2 + 7959*t + 3978 = 0.
-1326, -1
Let -t**4 + 262*t**3 - 17160*t**2 - 262*t + 17161 = 0. What is t?
-1, 1, 131
Let 60*w**4 - 136*w**3 - 364*w**2 - 200*w - 32 = 0. What is w?
-1, -2/5, -1/3, 4
Determine n, given that -n**3 - 2*n**2 + 9*n + 18 = 0.
-3, -2, 3
Suppose -w**3 - 99*w**2 + 412*w = 0. What is w?
-103, 0, 4
Factor -m**4/4 - 5*m**3 - 33*m**2/4 + 27*m/2.
-m*(m - 1)*(m + 3)*(m + 18)/4
Factor 2*b**2/3 - 4*b - 32/3.
2*(b - 8)*(b + 2)/3
Factor f**3 - 125*f**2 + 604*f - 480.
(f - 120)*(f - 4)*(f - 1)
Factor 5*y**3 + 40*y**2 + 55*y - 100.
5*(y - 1)*(y + 4)*(y + 5)
Factor m**2/2 - 2889*m + 8346321/2.
(m - 2889)**2/2
Let -2*s**2/3 + 10804*s/3 - 14590802/3 = 0. Calculate s.
2701
What is l in -l**5 + 20*l**4 - 18*l**3 - 20*l**2 + 19*l = 0?
-1, 0, 1, 19
Factor -3*g**2 - 258*g.
-3*g*(g + 86)
Let 5*b**3 + 35*b**2 + 75*b + 45 = 0. Calculate b.
-3, -1
Factor 2*c**4 + 24*c**3 + 74*c**2 + 84*c + 32.
2*(c + 1)**2*(c + 2)*(c + 8)
Solve 4*k**5 - 8*k**4 - 35*k**3 + 7*k**2 + 22*k - 8 = 0.
-2, -1, 1/2, 4
Determine w so that -2*w**2/9 - 28*w/9 = 0.
-14, 0
Factor 2*t**2 + 90*t - 92.
2*(t - 1)*(t + 46)
Factor 3*a**2 - 15*a + 12.
3*(a - 4)*(a - 1)
Factor 2*r**3/7 - 2*r**2 - 20*r/7 + 32/7.
2*(r - 8)*(r - 1)*(r + 2)/7
Let -2*h**2/7 - 66*h/7 + 20 = 0. What is h?
-35, 2
Factor u**2/9 + u/3.
u*(u + 3)/9
Determine p so that -p**4 - 38*p**3 + p**2 + 38*p = 0.
-38, -1, 0, 1
Factor -4*s**4 - 4*s**3 + 120*s**2 + 128*s - 640.
-4*(s - 5)*(s - 2)*(s + 4)**2
What is q in -2*q**4 - 20*q**3 + 86*q**2 + 104*q = 0?
-13, -1, 0, 4
Factor 4*u**2 + 28*u - 72.
4*(u - 2)*(u + 9)
Factor -v**2 + 1812*v.
-v*(v - 1812)
Factor 4*j**3 - 28*j**2 + 24*j.
4*j*(j - 6)*(j - 1)
Suppose w**4 + 25*w**3 - 53*w**2 + 27*w = 0. Calculate w.
-27, 0, 1
Factor 4*b**5 - 40*b**4 + 128*b**3 - 152*b**2 + 60*b.
4*b*(b - 5)*(b - 3)*(b - 1)**2
Factor -2*l**2/5 + 456*l/5.
-2*l*(l - 228)/5
Let -3*k**5 + 9*k**4 + 9*k**3 - 33*k**2 + 18*k = 0. Calculate k.
-2, 0, 1, 3
Let -q**3/9 - 7*q**2/9 - 5*q/3 - 1 = 0. Calculate q.
-3, -1
Find q such that -q**3/3 - 10*q**2 - 84*q - 216 = 0.
-18, -6
Solve 7*q**2 + 709*q + 202 = 0 for q.
-101, -2/7
Factor -u**3/6 + 23*u**2/3.
-u**2*(u - 46)/6
Factor 3*l**5 + 52*l**4 + 206*l**3 - 180*l**2 - 81*l.
l*(l - 1)*(l + 9)**2*(3*l + 1)
Find b such that 10*b**4/13 - 24*b**3/13 + 12*b**2/13 + 8*b/13 - 6/13 = 0.
-3/5, 1
What is l in -36*l**4 - 332*l**3 + 288*l**2 + 80*l = 0?
-10, -2/9, 0, 1
Determine h so that h**2/3 - h - 40/3 = 0.
-5, 8
Suppose 27*d**5/5 + 83*d**4/5 + 87*d**3/5 + 33*d**2/5 + 2*d/5 = 0. Calculate d.
-1, -2/27, 0
Factor -2*r**3/11 + 328*r**2/11 - 13448*r/11.
-2*r*(r - 82)**2/11
Factor 4*l**2 - 9*l/2 + 1/2.
(l - 1)*(8*l - 1)/2
Solve p**5/5 + 10*p**4 + 168*p**3 + 784*p**2 - 5488*p - 230496/5 = 0.
-14, 6
Suppose -5*i**4 - 1050*i**3 - 73500*i**2 - 1715000*i = 0. What is i?
-70, 0
What is f in 5*f**5 - 85*f**4 - 10*f**3 + 170*f**2 + 5*f - 85 = 0?
-1, 1, 17
Factor b**4/3 - 247*b**3/3 + 6806*b**2 - 571540*b/3 + 551368/3.
(b - 82)**3*(b - 1)/3
Solve m**4/5 + 916*m**3/5 + 206998*m**2/5 - 1266828*m/5 + 1912689/5 = 0 for m.
-461, 3
Factor 5*j**3 + 340*j**2 - 5*j - 340.
5*(j - 1)*(j + 1)*(j + 68)
Determine a so that -4*a**5/9 + 20*a**4/9 - 8*a**3/9 - 80*a**2/9 + 32*a/3 = 0.
-2, 0, 2, 3
Factor -d**4/5 + 6*d**3/5 + 409*d**2/5 - 414*d/5.
-d*(d - 23)*(d - 1)*(d + 18)/5
Let 10*c**5/11 + 64*c**4/11 + 48*c**3/11 - 124*c**2/11 - 58*c/11 + 60/11 = 0. What is c?
-5, -2, -1, 3/5, 1
Solve 130*x**3 + 545*x**2 + 490*x + 75 = 0.
-3, -1, -5/26
Factor -2*g**2 - 52*g - 338.
-2*(g + 13)**2
Factor -r**4/8 + 73*r**2/8 - 9*r.
-r*(r - 8)*(r - 1)*(r + 9)/8
Solve 2*y**5/9 + 436*y**4/3 - 2*y**3/3 - 3920*y**2/9 + 872*y/3 = 0.
-654, -2, 0, 1
What is s in 3*s**2/4 - 12*s - 51/4 = 0?
-1, 17
Suppose q**3/2 - 11*q**2/2 - 13*q = 0. Calculate q.
-2, 0, 13
Let q**2 + 11*q - 26 = 0. Calculate q.
-13, 2
Factor a**2/9 - 5*a/3 - 16/9.
(a - 16)*(a + 1)/9
Factor b**4 - 11*b**3 + 23*b**2 + 35*b.
b*(b - 7)*(b - 5)*(b + 1)
Solve 4*j**4 - 28*j**3 + 72*j**2 - 80*j + 32 = 0.
1, 2
Factor 3*v**2 - 27*v.
3*v*(v - 9)
Factor -16*h**2/5 - 20*h - 24/5.
-4*(h + 6)*(4*h + 1)/5
Suppose -q**3/5 + 9*q**2/5 - 26*q/5 + 24/5 = 0. What is q?
2, 3, 4
Factor 3*k**2 - 108*k - 111.
3*(k - 37)*(k + 1)
Factor 243*r**2 - 3132*r + 10092.
3*(9*r - 58)**2
Find h, given that 4*h**5/9 - 2*h**4/9 - 28*h**3/9 + 38*h**2/9 - 4*h/3 = 0.
-3, 0, 1/2, 1, 2
Factor 2*h**5 + 4*h**4 - 6*h**3.
2*h**3*(h - 1)*(h + 3)
Suppose 3*f**2 + 1161*f - 3510 = 0. Calculate f.
-390, 3
Factor 5*p**2 + 600*p.
5*p*(p + 120)
Solve -a**5/10 + a**4/2 + 4*a**3/5 - 22*a**2/5 - 16*a/5 + 32/5 = 0 for a.
-2, 1, 4
Solve -3*y**2/4 - 199*y/4 - 33/2 = 0.
-66, -1/3
What is k in 3*k**2 + 111*k - 360 = 0?
-40, 3
Factor -2*j**3/5 - 11*j**2/5 - 12*j/5 + 9/5.
-(j + 3)**2*(2*j - 1)/5
Let 5*j**4 + 610*j**3/3 + 1555*j**2/3 + 1340*j/3 + 380/3 = 0. What is j?
-38, -1, -2/3
Factor -11*p**3/2 + 17*p**2/2 + 49*p + 20.
-(p - 4)*(p + 2)*(11*p + 5)/2
Find b, given that -9*b**2/4 - 29*b/2 - 6 = 0.
-6, -4/9
Determine j, given that 2*j**4/5 - 2*j**3 + 14*j**2/5 - 6*j/5 = 0.
0, 1, 3
Determine h, given that -10*h**4/7 - 44*h**3/7 - 46*h**2/7 - 12*h/7 = 0.
-3, -1, -2/5, 0
Factor 3*t**3/4 + 723*t**2/4 - 186*t - 1089.
3*(t - 3)*(t + 2)*(t + 242)/4
Factor 3*c**4 + 45*c**3 - 162*c**2 + 12*c + 216.
3*(c - 2)**2*(c + 1)*(c + 18)
Solve 9*x**5 + 75*x**4 - 242*x**3 + 234*x**2 - 87*x + 11 = 0 for x.
-11, 1/3, 1
Find f such that 2*f**3/5 - 4*f**2 + 24*f/5 + 144/5 = 0.
-2, 6
Determine b, given that -2*b**3/3 + 100*b**2/3 - 1250*b/3 = 0.
0, 25
Determine v so that -2*v**2/3 - 1154*v - 3460/3 = 0.
-1730, -1
Factor -16*j**3 + 294*j**2 - 108*j.
-2*j*(j - 18)*(8*j - 3)
Determine x, given that 8884445*x**4 - 8844455*x**3 - 17808835*x**2 - 80025*x - 90 = 0.
-1, -3/1333, 2
Factor -3*z**3 - 18*z**2 + 93*z + 108.
-3*(z - 4)*(z + 1)*(z + 9)
Solve 4*y**3 - 2388*y**2 - 4788*y - 2396 = 0 for y.
-1, 599
Solve -f**2 - 277*f + 1124 = 0 for f.
-281, 4
Factor o**5 + 6*o**4 - 99*o**3 - 356*o**2 + 2340*o - 2592.
(o - 8)*(o - 2)**2*(o + 9)**2
Factor k**2/5 - 111*k/5 + 220.
(k - 100)*(k - 11)/5
Factor 3*l**4/7 - 354*l**3/7 + 9327*l**2/7 + 65844*l/7 + 103788/7.
3*(l - 62)**2*(l + 3)**2/7
Determine j, given that 5*j**5 - 135*j**3 + 110*j**2 + 960*j - 1440 = 0.
-4, 2, 3
Find v, given that 3*v**5/2 + 12*v**4 - 3*v**3 - 24*v**2 + 3*v/2 + 12 = 0.
-8, -1, 1
Solve n**4 + 2*n**3 - n**2 - 2*n = 0.
-2, -1, 0, 1
Solve -2*y**5/7 - 46*y**4/7 - 2*y**3 + 678*y**2/7 + 288*y/7 - 2376/7 = 0 for y.
-22, -3, 2, 3
Factor -11*t**4 + 6*t**3 + 11*t**2 - 6*t.
-t*(t - 1)*(t + 1)*(11*t - 6)
Factor -495*u**5 - 96*u**4 - 4*u**3.
-u**3*(15*u + 2)*(33*u + 2)
Find c such that -3*c**4 - 27*c**3 - 21*c**2 + 27*c + 24 = 0.
-8, -1, 1
Factor -z**3 + 7*z**2 - 14*z + 8.
-(z - 4)*(z - 2)*(z - 1)
Factor g**2 - 45*g - 94.
(g - 47)*(g + 2)
Find r, given that 18*r**5 + 1770*r**4 - 6718*r**3 + 1526*r**2 + 9996*r = 0.
-102, -1, 0, 7/3
Solve -w**3 - 41*w**2 - 219*w - 315 = 0 for w.
-35, -3
Find b, given that b**4/4 - 101*b**3/2 + 10201*b**2/4 = 0.
0, 101
Let -2*j**4/7 - 2*j**3/7 + 10*j**2/7 - 6*j/7 = 0. Calculate j.
-3, 0, 1
Factor l**2/7 - 33*l/7 + 116/7.
(l - 29)*(l - 4)/7
Solve o**4/5 - 7*o**3/5 + 2*o**2 = 0 for o.
0, 2, 5
Factor -4*l**2 - 312*l - 608.
-4*(l + 2)*(l + 76)
Factor -2*x**4/7 + 66*x**3/7 - 186*x**2/7 + 26*x - 60/7.
-2*(x - 30)*(x - 1)**3/7
Factor -c**5 + 2*c**4 - 2*c**2 + c.
-c*(c - 1)**3*(c + 1)
Determine x so that -4*x**3 + 1572*x**2 - 153660*x - 155236 = 0.
-1, 197
Solve 4*s**4/9 + 16*s**3/3 - 4*s**2/9 - 16*s/3 = 0.
-12, -1, 0, 1
Let -207*k**4 + 624*k**3 - 423*k**2 + 6*k = 0. What is k?
0, 1/69, 1, 2
Solve -n**4/2 + 9*n**3 - 54*n**2 + 119*n - 147/2 = 0.
1, 3, 7
Factor 3*s**3 + 3*s**2 - 228*s + 420.
3*(s - 7)*(s - 2)*(s + 10)
Let -3*y**2 + 1761*y = 0. Calculate y.
0, 587
Factor -4*c**3 - 40*c**2 - 68*c - 32.
-4*(c + 1)**2*(c + 8)
Suppose 3*k**3/7 + 174*k**2/7 - 3*k/7 - 174/7 = 0. What is k?
-58, -1, 1
Factor -j**2/2 - 25*j + 51/2.
-(j - 1)*(j + 51)/2
Solve f**3 - 9*f = 0 for f.
-3, 0, 3
Suppose x**3/4 - x**2/2 - 15*x/4 = 0. What is x?
-3, 0, 5
What is x in 25*x**2 + 20*x - 5 = 0?
-1, 1/5
Determine