1)*(x + 9)/3
Factor g**2/3 + 4*g + 20/3.
(g + 2)*(g + 10)/3
Factor 4*z**2 + 35*z - 39.
(z - 1)*(4*z + 39)
Factor -c**4/4 + 169*c**3 - 85683*c**2/2 + 4826809*c - 815730721/4.
-(c - 169)**4/4
Factor t**5/8 - 5*t**4/4 + 17*t**3/4 - 9*t**2/2 - 27*t/8 + 27/4.
(t - 3)**3*(t - 2)*(t + 1)/8
Factor -12*n**2 + 560*n + 768.
-4*(n - 48)*(3*n + 4)
Factor 4*h**4 - 24*h**3.
4*h**3*(h - 6)
Factor 4*k**2 - 76*k - 80.
4*(k - 20)*(k + 1)
Factor -2*p**2 + 76*p + 1326.
-2*(p - 51)*(p + 13)
Factor -z**3 + 873*z**2/4 - 973*z/2 + 108.
-(z - 216)*(z - 2)*(4*z - 1)/4
Factor -2*t**4/9 - 14*t**3/3 - 38*t**2/3 - 110*t/9 - 4.
-2*(t + 1)**3*(t + 18)/9
Suppose 3*t**5 + 93*t**4 - 6*t**3 - 186*t**2 + 3*t + 93 = 0. Calculate t.
-31, -1, 1
Suppose -y**2/6 - 331*y/6 = 0. What is y?
-331, 0
Determine t so that -8*t**5 - 2*t**4 + 96*t**3 - 104*t**2 - 32*t = 0.
-4, -1/4, 0, 2
Factor 3*d**3/8 - 3555*d**2/4 + 1404225*d/2 - 184889625.
3*(d - 790)**3/8
Factor 252*o**3 - 44088*o**2 + 1934608*o - 549152.
4*(3*o - 262)**2*(7*o - 2)
Solve -12*g**3 + 13664*g**2 - 9100*g - 4552 = 0.
-1/3, 1, 1138
Factor 4*v**5/9 - 10*v**4/3 + 80*v**3/9 - 80*v**2/9 + 32/9.
2*(v - 2)**4*(2*v + 1)/9
Factor -4*y**2/3 + 4*y + 16/3.
-4*(y - 4)*(y + 1)/3
Factor 2*i**3/13 + 4*i**2/13 - 142*i/13 - 504/13.
2*(i - 9)*(i + 4)*(i + 7)/13
Factor -6*g**3 + 129*g**2 + 354*g + 144.
-3*(g - 24)*(g + 2)*(2*g + 1)
Find z, given that 3*z**3/4 + 3*z**2/4 = 0.
-1, 0
Factor -22*u**2/17 + 870*u/17 - 468/17.
-2*(u - 39)*(11*u - 6)/17
Factor -2*q**3/5 + 36*q**2/5 + 386*q/5 + 156.
-2*(q - 26)*(q + 3)*(q + 5)/5
Factor -3*i**4/4 - 483*i**3/2.
-3*i**3*(i + 322)/4
Let 2*i**3 + 56*i**2 - 250*i + 192 = 0. Calculate i.
-32, 1, 3
Factor 2*u**3 - 24*u**2 + 78*u - 56.
2*(u - 7)*(u - 4)*(u - 1)
Find h such that h**4 - 8*h**3 + 15*h**2 + 8*h - 16 = 0.
-1, 1, 4
Solve -10*n**4/3 - 245*n**3 + 1980*n**2 - 10885*n/3 + 1350 = 0 for n.
-81, 1/2, 2, 5
Factor -s**2 - 23*s + 24.
-(s - 1)*(s + 24)
Factor s**2/8 - 177*s/4 + 31329/8.
(s - 177)**2/8
Find f, given that 10*f**2 + 1078*f - 216 = 0.
-108, 1/5
Determine z, given that -150*z**5 - 130*z**4 + 162*z**3 + 146*z**2 - 12*z - 16 = 0.
-1, -4/5, -2/5, 1/3, 1
Let -m**2 = 0. Calculate m.
0
Factor -2*w**4 - 2*w**3 + 42*w**2 + 90*w.
-2*w*(w - 5)*(w + 3)**2
Suppose -3*j**5 - 9*j**4 + 30*j**3 = 0. Calculate j.
-5, 0, 2
Factor 4*f**3 + 100*f**2 + 748*f + 1452.
4*(f + 3)*(f + 11)**2
Let -4*b**4 - 88*b**3 - 240*b**2 - 232*b - 76 = 0. Calculate b.
-19, -1
Factor -5*q**2 - 30*q.
-5*q*(q + 6)
Factor 4*p**5 - 620*p**4 + 3612*p**3 - 5364*p**2.
4*p**2*(p - 149)*(p - 3)**2
Let 3*y**5 + 9*y**4/5 - 231*y**3/5 + 87*y**2 - 288*y/5 + 12 = 0. What is y?
-5, 2/5, 1, 2
Solve -z**3/5 - 98*z**2/5 + 99*z/5 = 0.
-99, 0, 1
Find l such that 3*l**5 + 147*l**4/5 + 39*l**3 - 39*l**2 - 42*l + 48/5 = 0.
-8, -2, -1, 1/5, 1
Factor k**2/5 + 808*k/5 + 163216/5.
(k + 404)**2/5
Solve 48*q**4 + 1368*q**3 + 651*q**2 - 585*q + 84 = 0.
-28, -1, 1/4
Factor -i**3 + 30*i**2 + 133*i + 102.
-(i - 34)*(i + 1)*(i + 3)
Factor 4*p**4/9 + 52*p**3/9 - 416*p**2/9 - 112*p.
4*p*(p - 7)*(p + 2)*(p + 18)/9
Factor t**4/5 + 7*t**3/5 - 22*t**2/5 - 28*t/5 + 72/5.
(t - 2)**2*(t + 2)*(t + 9)/5
Factor -1682*x**5/5 + 40484*x**4/5 - 65146*x**3 + 883504*x**2/5 - 59776*x/5 + 1024/5.
-2*(x - 8)**3*(29*x - 1)**2/5
Find g, given that 3*g**2/8 + 9*g/8 - 15/4 = 0.
-5, 2
Factor w**4 - 10*w**3 + 24*w**2 - 22*w + 7.
(w - 7)*(w - 1)**3
Factor 4*d**3 + 504*d**2 - 3132*d + 4752.
4*(d - 3)**2*(d + 132)
Factor u**4/2 - 54*u**3 + 1403*u**2 + 2970*u + 3025/2.
(u - 55)**2*(u + 1)**2/2
Suppose -5*q**2 + 1220*q - 74420 = 0. Calculate q.
122
Let 2*s**5/7 - 2*s**4/7 - 14*s**3 - 358*s**2/7 - 480*s/7 - 216/7 = 0. Calculate s.
-3, -2, -1, 9
Factor 2*d**2/5 + 58*d/5 + 40.
2*(d + 4)*(d + 25)/5
Let 4*x**3 + 196*x**2 + 904*x + 1056 = 0. Calculate x.
-44, -3, -2
What is q in -2*q**5 - 2*q**4 + 18*q**3 - 22*q**2 + 8*q = 0?
-4, 0, 1
Let 2*y**5/3 - y**4/6 - 2*y**3 + 11*y**2/6 - y/3 = 0. What is y?
-2, 0, 1/4, 1
Factor 2*y**3/3 + 448*y**2/3 - 2*y/3 - 448/3.
2*(y - 1)*(y + 1)*(y + 224)/3
Solve -4*v**5/7 + 40*v**3/7 - 36*v/7 = 0 for v.
-3, -1, 0, 1, 3
Factor -3*f**3 + 21*f**2 - 18*f.
-3*f*(f - 6)*(f - 1)
Solve 2*g**5/3 + 6*g**4 + 14*g**3 + 38*g**2/3 + 4*g = 0.
-6, -1, 0
Factor m**4/3 + 31*m**3/3 + 53*m**2 + 75*m.
m*(m + 3)**2*(m + 25)/3
Find n such that -6*n**3/13 + 148*n**2/13 - 960*n/13 + 576/13 = 0.
2/3, 12
Find o such that -144*o**5 + 384*o**4 + 284*o**3 - 372*o**2 - 140*o - 12 = 0.
-1, -1/6, 1, 3
What is v in 3*v**3/5 + 459*v**2 + 117045*v + 9948825 = 0?
-255
What is w in w**2/3 = 0?
0
Suppose -2*y**5/9 + 8*y**4/3 - 80*y**3/9 + 4*y**2 + 82*y/9 - 20/3 = 0. What is y?
-1, 1, 5, 6
Factor f**2/5 + 12*f/5.
f*(f + 12)/5
Find i, given that 2*i**4/3 - 60*i**3 + 5906*i**2/3 - 27840*i + 430592/3 = 0.
16, 29
Factor -3*n**4/7 + 66*n**3/7 - 423*n**2/7 + 660*n/7 - 300/7.
-3*(n - 10)**2*(n - 1)**2/7
Factor d**3 + 28*d**2 + 221*d + 338.
(d + 2)*(d + 13)**2
Suppose -5*a**2 + 20*a + 1425 = 0. Calculate a.
-15, 19
Factor d**5 - 9*d**4 + 3*d**3 + 73*d**2 + 96*d + 36.
(d - 6)**2*(d + 1)**3
Factor 4*u**2 + 156*u + 152.
4*(u + 1)*(u + 38)
Factor 2*m**2 - 300*m + 882.
2*(m - 147)*(m - 3)
Solve -16*z**5 - 76*z**4 + 404*z**3 - 96*z**2 = 0 for z.
-8, 0, 1/4, 3
Determine y, given that 8*y**5/5 + 78*y**4/5 - 308*y**3/5 + 376*y**2/5 - 36*y + 26/5 = 0.
-13, 1/4, 1
Factor 3*k**4 - 57*k**3 + 51*k**2 + 57*k - 54.
3*(k - 18)*(k - 1)**2*(k + 1)
Let -2*k**5/5 + 2*k**4 - 4*k**3 + 4*k**2 - 2*k + 2/5 = 0. What is k?
1
Factor 2*f**5/5 + 18*f**4/5 - 42*f**3/5 + 22*f**2/5.
2*f**2*(f - 1)**2*(f + 11)/5
Determine k, given that -240*k**5 - 4640*k**4/3 - 3880*k**3 - 4680*k**2 - 2655*k - 540 = 0.
-3/2, -4/9
Suppose 4*h**2 - 40*h + 36 = 0. Calculate h.
1, 9
Factor 2*j**2/7 + 1056*j/7 + 2104/7.
2*(j + 2)*(j + 526)/7
Factor -v**4 + 13*v**3 + 4*v**2 - 52*v.
-v*(v - 13)*(v - 2)*(v + 2)
Factor -3*u**3 - 243*u**2 + 252*u + 492.
-3*(u - 2)*(u + 1)*(u + 82)
Factor -5*q**3 - 345*q**2 + 1445*q - 1095.
-5*(q - 3)*(q - 1)*(q + 73)
What is y in 2*y**4/5 + 32*y**3/5 - 152*y**2/5 + 32*y = 0?
-20, 0, 2
Factor 9*k**4 + 43*k**3 - 334*k**2 + 72*k.
k*(k - 4)*(k + 9)*(9*k - 2)
Solve j**2/2 - 1207*j + 1456849/2 = 0 for j.
1207
What is f in 722*f**5/7 + 2014*f**4/7 - 64*f**3 - 2864*f**2/7 + 608*f/7 - 32/7 = 0?
-2, 2/19, 1
Factor -j**4/6 - j**3/6 + 25*j**2/6 + 25*j/6.
-j*(j - 5)*(j + 1)*(j + 5)/6
Factor 4*l**2 + 32*l - 36.
4*(l - 1)*(l + 9)
Factor -5*o**4/2 + 43*o**3/2 - 26*o**2 - 14*o.
-o*(o - 7)*(o - 2)*(5*o + 2)/2
Solve 2*s**5/7 + 2*s**4/7 - 12*s**3/7 + 4*s**2/7 + 10*s/7 - 6/7 = 0.
-3, -1, 1
Solve -i**5/6 - i**4 - 5*i**3/3 + 11*i/6 + 1 = 0 for i.
-3, -2, -1, 1
Factor -5*t**4 - 15*t**3 + 20*t**2.
-5*t**2*(t - 1)*(t + 4)
Determine w, given that -100*w**5 + 170*w**4 + 784*w**3 + 520*w**2 + 96*w = 0.
-3/2, -2/5, 0, 4
Factor t**4/5 + 3*t**3/5 + 2*t**2/5.
t**2*(t + 1)*(t + 2)/5
Factor -5*u**4 + 15*u**3 + 115*u**2 + 165*u + 70.
-5*(u - 7)*(u + 1)**2*(u + 2)
Let 4*q**3 - 748*q**2 + 744*q = 0. What is q?
0, 1, 186
Factor 2*p**2/13 + 562*p/13 - 564/13.
2*(p - 1)*(p + 282)/13
Factor 10*y**3/3 + 116*y**2/3 + 82*y + 36.
2*(y + 2)*(y + 9)*(5*y + 3)/3
Suppose 3*i**4 - 69*i**3 + 492*i**2 - 1236*i + 1008 = 0. Calculate i.
2, 7, 12
Determine u so that -2*u**3/7 + 34*u**2/7 - 32*u/7 = 0.
0, 1, 16
Factor -9*d**3 + 33*d**2 - 40*d + 16.
-(d - 1)*(3*d - 4)**2
Determine n, given that 8*n**5/5 - 102*n**4/5 - 34*n**3/5 + 102*n**2/5 + 26*n/5 = 0.
-1, -1/4, 0, 1, 13
Factor 4*a**3/5 - 32*a**2/5 - 36*a - 144/5.
4*(a - 12)*(a + 1)*(a + 3)/5
Factor 2*m**4/5 + 22*m**3/5 + 64*m**2/5 + 56*m/5.
2*m*(m + 2)**2*(m + 7)/5
Determine r, given that -2*r**2/3 + 176*r/3 + 376 = 0.
-6, 94
Factor -5*i**3 - 45*i**2 + 5*i + 45.
-5*(i - 1)*(i + 1)*(i + 9)
What is k in 4*k**4 - 16*k**3 + 8*k**2 + 16*k - 12 = 0?
-1, 1, 3
Suppose -5*j**3 + 125*j**2 - 1035*j + 2835 = 0. Calculate j.
7, 9
Factor 8*k**3 + 2156*k**2 + 3220*k + 1072.
4*(k + 1)*(k + 268)*(2*k + 1)
Determine i, given that -5*i**5 + 45*i**4 = 0.
0, 9
Find y such that 5*y**2 + 15*y - 20 = 0.
-4, 1
Find b such that -b**5/4 + 7*b**4/4 + 11*b**3/2 - 17*b**2/2 - 21*b/4 + 27/4 = 0.
-3, -1, 1, 9
Factor 9*b**4 - 1423*b**3 + 56327*b**2 - 6241*b.
b*(b - 79)**2*(9*b - 1)
Determine c so that 4*c**5 + 273*c**4 + 64*c**3 - 273*c**2 - 68*c = 0.
-68, -1, -1/4, 0, 1
Suppose f**5/9 