ctor 2*y**4 - 28*y**3 - 32*y**2 + 28*y + 30.
2*(y - 15)*(y - 1)*(y + 1)**2
Find v such that v**5 - 17*v**4 + 103*v**3 - 239*v**2 + 40*v + 400 = 0.
-1, 4, 5
What is o in -2*o**5 + 120*o**4 - 1930*o**3 + 8860*o**2 - 15960*o + 10064 = 0?
2, 17, 37
Factor 2*y**3 + 90*y**2 + 486*y + 702.
2*(y + 3)**2*(y + 39)
Factor -2*o**2/9 - 352*o/9 - 15488/9.
-2*(o + 88)**2/9
Factor -4*z**3 - 6288*z**2 + 6292*z.
-4*z*(z - 1)*(z + 1573)
Let 2*f**3/11 - 40*f**2/11 - 46*f/11 + 84/11 = 0. What is f?
-2, 1, 21
Suppose -y**5/4 - 19*y**4/4 - 5*y**3/2 + 39*y**2 + 54*y = 0. What is y?
-18, -2, 0, 3
Let -z**3/2 + 5*z**2/2 + 16*z + 18 = 0. Calculate z.
-2, 9
Find d, given that 2*d**5/7 - 130*d**4/7 + 732*d**3/7 - 1436*d**2/7 + 1186*d/7 - 354/7 = 0.
1, 3, 59
Factor -3*q**4 + 30*q**3 + 33*q**2.
-3*q**2*(q - 11)*(q + 1)
Find w, given that -3*w**5 - 11*w**4 + 885*w**3 - 4509*w**2 - 3402*w = 0.
-21, -2/3, 0, 9
Suppose 3*k**5 - 12*k**4 - 21*k**3 + 30*k**2 = 0. What is k?
-2, 0, 1, 5
Let 2*i**2 - 86*i + 164 = 0. What is i?
2, 41
Let 5*c**2 - 5 = 0. What is c?
-1, 1
Factor 45*i**4 - 240*i**3 + 395*i**2 - 260*i + 60.
5*(i - 3)*(i - 1)*(3*i - 2)**2
Solve p**5 - 2*p**4 - 20*p**3 - 24*p**2 = 0 for p.
-2, 0, 6
Factor t**2/9 - 110*t/9 - 37/3.
(t - 111)*(t + 1)/9
Let -5*o**2 - 390*o - 2160 = 0. Calculate o.
-72, -6
Determine w, given that -w**5 - 8*w**4 - 4*w**3 + 22*w**2 + 5*w - 14 = 0.
-7, -2, -1, 1
Factor 2*w**4 + 30*w**3 + 158*w**2 + 330*w + 200.
2*(w + 1)*(w + 4)*(w + 5)**2
Factor 2*p**2 - 6*p - 140.
2*(p - 10)*(p + 7)
Factor z**5/9 + 7*z**4/9 - z**3 - 7*z**2/9 + 8*z/9.
z*(z - 1)**2*(z + 1)*(z + 8)/9
Factor 2*t**3/7 + 272*t**2/7 - 2*t/7 - 272/7.
2*(t - 1)*(t + 1)*(t + 136)/7
Solve -6*d**4 - 45*d**3 - 114*d**2 - 117*d - 42 = 0.
-7/2, -2, -1
Factor -w**2 - 34*w.
-w*(w + 34)
Factor -p**2 - 21*p - 38.
-(p + 2)*(p + 19)
Factor 2*i**3/15 + 166*i**2/15 - 56*i/5.
2*i*(i - 1)*(i + 84)/15
Factor c**3 + 15*c**2 - 37*c - 51.
(c - 3)*(c + 1)*(c + 17)
Factor -2*u**2/5 + 502*u/5 - 1976/5.
-2*(u - 247)*(u - 4)/5
Factor -4*w**3/7 - 708*w**2/7 - 30972*w/7 + 31684/7.
-4*(w - 1)*(w + 89)**2/7
Solve 2*y**3 + 602*y**2 + 1198*y + 598 = 0.
-299, -1
Factor -15*h**3/4 - 205*h**2/4 - 65*h/2.
-5*h*(h + 13)*(3*h + 2)/4
Solve -20*k**5/3 - 8*k**4 + 16*k**3/3 + 8*k**2 + 4*k/3 = 0.
-1, -1/5, 0, 1
Determine u, given that -4*u**5 + 40*u**4 + 52*u**3 - 88*u**2 = 0.
-2, 0, 1, 11
Factor 2*f**4/5 - 72*f**3/5 + 136*f**2/5.
2*f**2*(f - 34)*(f - 2)/5
Factor 45*d**4 - 35*d**3 - 100*d**2 - 20*d.
5*d*(d - 2)*(d + 1)*(9*d + 2)
Factor i**2/4 + 15*i/2 - 31/4.
(i - 1)*(i + 31)/4
Determine j, given that -2*j**4/3 - 10*j**3 - 52*j**2/3 = 0.
-13, -2, 0
Find d, given that -5*d**4 - 8030*d**3 - 3216005*d**2 + 6456120*d - 3232080 = 0.
-804, 1
Solve -j**5/2 + 2*j**3 + j**2 - 3*j/2 - 1 = 0 for j.
-1, 1, 2
What is c in c**4/7 + 24*c**3 + 6886*c**2/7 - 2040*c + 7225/7 = 0?
-85, 1
Let 3*h**2/5 + 564*h/5 + 26508/5 = 0. Calculate h.
-94
Factor -2*o**2/9 + 44*o/9 - 224/9.
-2*(o - 14)*(o - 8)/9
Suppose 16*u**4 + 44*u**3 + 36*u**2 + 4*u - 4 = 0. What is u?
-1, 1/4
Factor -5*f**4 - 50*f**3 - 140*f**2 - 30*f + 225.
-5*(f - 1)*(f + 3)**2*(f + 5)
Find k, given that -k**3 + 63*k**2 + k - 63 = 0.
-1, 1, 63
Determine w, given that 6*w**3/7 - 16*w**2/7 - 10*w/7 + 12/7 = 0.
-1, 2/3, 3
Factor -5*o**5 + 125*o**4 + 265*o**3 + 135*o**2.
-5*o**2*(o - 27)*(o + 1)**2
Let 4*t**2 + 392*t = 0. Calculate t.
-98, 0
Solve -z**5/8 + z**4/8 + 9*z**3/4 + 7*z**2/4 - 17*z/8 - 15/8 = 0.
-3, -1, 1, 5
Factor 5*j**2 - 210*j + 2205.
5*(j - 21)**2
Solve 49*q**4/5 + 1253*q**3/5 - 1942*q**2/5 - 1412*q/5 - 216/5 = 0 for q.
-27, -2/7, 2
Determine m, given that 3*m**4/4 + 63*m**3/2 + 426*m**2 + 3825*m/2 + 6069/4 = 0.
-17, -7, -1
Factor u**3 - 6*u**2 - 37*u + 90.
(u - 9)*(u - 2)*(u + 5)
Factor 6*u**2/19 + 7226*u/19 + 2408/19.
2*(u + 1204)*(3*u + 1)/19
Factor -4*r**3 + 40*r**2/3 - 4*r/3 - 8.
-4*(r - 3)*(r - 1)*(3*r + 2)/3
Determine q so that -3*q**2 + 1122*q - 104907 = 0.
187
Suppose z**2 + 88*z + 172 = 0. What is z?
-86, -2
Factor 2*y**2/5 + 2142*y/5 - 2144/5.
2*(y - 1)*(y + 1072)/5
What is j in 5*j**3 + 265*j**2 - 280*j - 540 = 0?
-54, -1, 2
Determine w so that -3*w**4/2 - 51*w**3/2 - 141*w**2/2 + 447*w/2 - 126 = 0.
-12, -7, 1
Determine r so that -5*r**5 + 60*r**4 - 60*r**3 - 1030*r**2 + 945*r + 4410 = 0.
-3, -2, 3, 7
Factor -5*j**2 + 70*j - 245.
-5*(j - 7)**2
Find h such that -2*h**2/13 = 0.
0
Factor -3*k**4 + 174*k**3.
-3*k**3*(k - 58)
Solve 3*b**2 + 1782*b + 1779 = 0.
-593, -1
Factor 2*a**4/5 - 54*a**3/5 - 56*a**2/5.
2*a**2*(a - 28)*(a + 1)/5
Factor 3*i**3 + 5028*i**2 + 2101695*i - 4223526.
3*(i - 2)*(i + 839)**2
Solve 23*r**4 + 90*r**3 + 61*r**2 - 6*r = 0 for r.
-3, -1, 0, 2/23
Factor 2*j**2/3 - 14*j/3.
2*j*(j - 7)/3
Find o such that 2*o**3/19 - 12*o**2/19 + 10*o/19 = 0.
0, 1, 5
Determine d so that -14*d**5 - 122*d**4 - 272*d**3 + 88*d**2 + 448*d - 128 = 0.
-4, -2, 2/7, 1
Solve -2*d**2 + 2*d + 24 = 0 for d.
-3, 4
What is k in 3*k**5 - 159*k**4 + 2640*k**3 - 17448*k**2 + 42960*k - 34800 = 0?
2, 10, 29
Determine l so that l**5/6 - 7*l**4/6 + 11*l**3/6 - 5*l**2/6 = 0.
0, 1, 5
Let -2*d**2/3 + 10*d/3 - 8/3 = 0. Calculate d.
1, 4
Factor -2*t**3/3 - 38*t**2/3 - 70*t/3 - 34/3.
-2*(t + 1)**2*(t + 17)/3
Solve 2*x**4 + 94*x**3/9 - 214*x**2/9 + 74*x/9 + 28/9 = 0.
-7, -2/9, 1
Factor -m**3/5 + 9*m**2/5.
-m**2*(m - 9)/5
Factor a**2 + 25*a + 24.
(a + 1)*(a + 24)
Suppose -57122*v**2 + 2704*v - 32 = 0. Calculate v.
4/169
Solve 4*z**3/5 - 916*z**2/5 - 1844*z/5 - 924/5 = 0 for z.
-1, 231
Find f such that 2*f**5/5 + 14*f**4/5 + 38*f**3/5 + 10*f**2 + 32*f/5 + 8/5 = 0.
-2, -1
Solve 3*q**4/2 - 2439*q**3 + 1321938*q**2 - 238830132*q = 0 for q.
0, 542
Find z such that -4*z**4 - 16*z**3 - 4*z**2 + 24*z = 0.
-3, -2, 0, 1
What is h in 2*h**2 + 218*h - 220 = 0?
-110, 1
Let m**4/4 + 16*m**3 + 805*m**2/4 - 3675*m/2 = 0. What is m?
-35, 0, 6
Let -3*v**3 + 3*v**2 + 51*v + 45 = 0. What is v?
-3, -1, 5
Suppose -o**5/3 - 4*o**4/3 + 12*o**3 - 74*o**2/3 + 61*o/3 - 6 = 0. What is o?
-9, 1, 2
Factor 4*f**3 - 144*f**2 + 404*f - 264.
4*(f - 33)*(f - 2)*(f - 1)
Let r**4/4 - 2*r**3 - 3*r**2/4 + 13*r/2 - 4 = 0. Calculate r.
-2, 1, 8
Factor -q**4/6 - 218*q**3/3 - 865*q**2/6 + 217*q.
-q*(q - 1)*(q + 3)*(q + 434)/6
Suppose -11*j**5 + 82*j**4 - 216*j**3 + 208*j**2 + 16*j - 96 = 0. Calculate j.
-6/11, 2
Factor -14*q**3 + 416*q**2 - 3030*q - 900.
-2*(q - 15)**2*(7*q + 2)
Find t such that 28*t**3 + 1744*t**2 + 2204*t + 488 = 0.
-61, -1, -2/7
Factor b**5 - 10*b**4 - 4*b**3 + 40*b**2.
b**2*(b - 10)*(b - 2)*(b + 2)
Factor t**3/3 - 40*t**2/3 - 43*t.
t*(t - 43)*(t + 3)/3
Find t, given that -2*t**2/5 - 12*t/5 + 182/5 = 0.
-13, 7
Let u**3/3 - 25*u**2/3 + 22*u = 0. What is u?
0, 3, 22
Find p, given that 2*p**3 + 6*p**2 - 12*p - 16 = 0.
-4, -1, 2
Find f such that 45*f**4 + 2130*f**3 + 24485*f**2 - 17040*f + 2880 = 0.
-24, 1/3
Determine d so that d**2 + 36*d + 35 = 0.
-35, -1
Factor -4*m**3/5 + 123*m**2/5 + 31*m/5.
-m*(m - 31)*(4*m + 1)/5
Find z such that 5*z**4 + 10*z**3 - 15*z**2 = 0.
-3, 0, 1
Let 3*y**3/2 - 12*y**2 + 18*y = 0. What is y?
0, 2, 6
Factor -3*c**2 - 261*c + 1380.
-3*(c - 5)*(c + 92)
What is c in -c**4 + 195*c**3 + 1608*c**2 + 3248*c = 0?
-4, 0, 203
Factor -w**2/3 + 66*w - 3267.
-(w - 99)**2/3
Factor w**5 - 15*w**4 - 33*w**3 - 17*w**2.
w**2*(w - 17)*(w + 1)**2
Solve -2*s**5/13 - 118*s**4/13 + 58*s**3 - 1666*s**2/13 + 1552*s/13 - 40 = 0.
-65, 1, 2
Suppose -3*s**2 + 6*s + 297 = 0. What is s?
-9, 11
Factor 12*x**2 + 255*x + 63.
3*(x + 21)*(4*x + 1)
Factor 6*n**3/7 - 242*n**2/7 + 76*n/7 + 160/7.
2*(n - 40)*(n - 1)*(3*n + 2)/7
Solve 2*j**2 + 26*j - 28 = 0 for j.
-14, 1
Determine a so that -4*a**2 + 12*a + 72 = 0.
-3, 6
Solve -4*l**2 + 412*l - 3040 = 0 for l.
8, 95
Suppose -325*d**4 - 5848*d**3/3 - 3896*d**2 - 2592*d + 16/3 = 0. Calculate d.
-2, 2/975
Find c, given that 2*c**4/15 - 8*c**3/15 - 14*c**2/3 + 20*c = 0.
-6, 0, 5
Factor -3*i**3/2 - 189*i**2/2 - 273*i - 180.
-3*(i + 1)*(i + 2)*(i + 60)/2
Find o such that o**2/3 + 5*o + 56/3 = 0.
-8, -7
Factor -12*s**3 - 75*s**2 - 126*s - 27.
-3*(s + 3)**2*(4*s + 1)
Suppose 5*p**2 + 75*p + 70 = 0. Calculate p.
-14, -1
Solve 5*f**4 - 345*f**3 - 5*f**2 + 345*f = 0.
-1, 0, 1, 69
Solve -2*w**4/3 - 10*w**3 - 8*w**2 + 56*w/3 = 0.
-14, -2, 0, 1
Determine w so that -36*w**4 - 24*w**3 + 32*w**