/2 + 36*z**2 - 18*z = 0.
0, 6/11, 6
Factor -2*u**2/9 + 20*u/9 + 2128/9.
-2*(u - 38)*(u + 28)/9
Factor b**3/9 + b**2 - b/9 - 1.
(b - 1)*(b + 1)*(b + 9)/9
Factor q**4 + 20*q**3 + 81*q**2 + 90*q.
q*(q + 2)*(q + 3)*(q + 15)
Factor 3*w**3 - 171*w**2 + 150*w + 1008.
3*(w - 56)*(w - 3)*(w + 2)
Let -3*w**3/7 - 33*w**2/7 + 555*w/7 - 225 = 0. What is w?
-21, 5
Suppose 4*s**2 - 2500*s - 2504 = 0. Calculate s.
-1, 626
Factor -2*n**4/3 - 76*n**3/3 - 850*n**2/3 - 2312*n/3.
-2*n*(n + 4)*(n + 17)**2/3
Factor 2*j**3 + 86*j**2 + 320*j + 312.
2*(j + 2)**2*(j + 39)
Factor v**3/3 - 19*v**2/3 - 42*v + 48.
(v - 24)*(v - 1)*(v + 6)/3
Factor -2*t**3 + 48*t**2 - 288*t.
-2*t*(t - 12)**2
Factor 2*p**2/5 - 4*p/5 - 96/5.
2*(p - 8)*(p + 6)/5
Let -2*y**2 - 216*y - 5832 = 0. Calculate y.
-54
Let -5*n**3 - 25*n**2 + 40*n + 60 = 0. Calculate n.
-6, -1, 2
Solve 3*k**4/4 + 3*k**3/2 - 45*k**2/4 - 27*k = 0 for k.
-3, 0, 4
Let -3*y**4/2 + 4766*y**3 - 5048253*y**2 + 1783154790*y - 1187648379/2 = 0. Calculate y.
1/3, 1059
Factor 5*v**2/3 + 585*v - 3530/3.
5*(v - 2)*(v + 353)/3
Factor -6*g**5/7 + 72*g**4/7 + 162*g**3/7 + 12*g**2.
-6*g**2*(g - 14)*(g + 1)**2/7
Factor -q**3 + 1213*q**2 + 1214*q.
-q*(q - 1214)*(q + 1)
Determine o so that -5*o**2 - 810*o - 805 = 0.
-161, -1
Factor -2*d**4/7 + 4*d**3/7 + 72*d**2/7 - 324*d/7 + 54.
-2*(d - 3)**3*(d + 7)/7
Let -5*a**2 - 30*a + 360 = 0. What is a?
-12, 6
Let 20*v**2 + 2476*v - 496 = 0. What is v?
-124, 1/5
Determine t, given that -t**3/4 + 336*t**2 - 150528*t + 22478848 = 0.
448
Factor -g**4/8 - 7*g**3/4 + 15*g**2/8 + 125*g/2 - 125/2.
-(g - 5)*(g - 1)*(g + 10)**2/8
Determine i so that -3*i**5/8 + 15*i**4/8 + 12*i**3 + 27*i**2/2 = 0.
-2, 0, 9
Determine i, given that -2*i**4/7 - 1210*i**3/7 - 3618*i**2/7 - 3614*i/7 - 172 = 0.
-602, -1
Factor p**3/3 - 16*p**2 + 92*p/3.
p*(p - 46)*(p - 2)/3
Find n, given that 3*n**2 - 93*n + 450 = 0.
6, 25
Factor x**3 - 663*x**2 + 146523*x - 10793861.
(x - 221)**3
Factor 2*o**3/9 - 52*o**2/9 + 46*o/9 + 100/9.
2*(o - 25)*(o - 2)*(o + 1)/9
Solve -2*o**3/7 + 74*o**2/7 + 498*o/7 + 774/7 = 0 for o.
-3, 43
Let 2*s**3/3 - 112*s**2/3 + 110*s/3 = 0. Calculate s.
0, 1, 55
Solve -2*k**2 + 6*k + 36 = 0 for k.
-3, 6
Suppose -u**5 + 339*u**4 - 28559*u**3 - 29239*u**2 + 28560*u + 28900 = 0. What is u?
-1, 1, 170
Find p, given that -2*p**2 - 24*p - 22 = 0.
-11, -1
Solve 3*y**5/5 + 87*y**4/5 + 84*y**3/5 = 0 for y.
-28, -1, 0
Factor -5*y**4 + 40*y**3 + 20*y**2 - 160*y.
-5*y*(y - 8)*(y - 2)*(y + 2)
Factor 18*w**4/5 - 24*w**3 + 74*w**2/5 - 12*w/5.
2*w*(w - 6)*(3*w - 1)**2/5
Factor -2*a**4 + 186*a**3 - 720*a**2 + 712*a.
-2*a*(a - 89)*(a - 2)**2
Find s such that s**4 + 75*s**3 + 1021*s**2 + 4641*s + 5782 = 0.
-59, -7, -2
Solve 4*q**2/5 - 176*q - 5424/5 = 0.
-6, 226
Factor -2*o**2/17 - 480*o/17 + 968/17.
-2*(o - 2)*(o + 242)/17
Factor 63*b**4 - 32*b**3 + 4*b**2.
b**2*(7*b - 2)*(9*b - 2)
Let -6*w**4/5 - 66*w**3/5 + 528*w**2/5 + 96*w - 4608/5 = 0. What is w?
-16, -3, 4
Solve 14*q**5 + 122*q**4 - 554*q**3 + 22*q**2 + 540*q - 144 = 0 for q.
-12, -1, 2/7, 1, 3
Factor f**2/5 + 412*f + 212180.
(f + 1030)**2/5
Find w such that 5*w**3 + 227*w**2 + 451*w/5 + 9 = 0.
-45, -1/5
Suppose 2*i**2/5 - 14*i/5 - 12 = 0. What is i?
-3, 10
Factor b**2/3 + 11*b/3 + 10.
(b + 5)*(b + 6)/3
Factor -z**5/4 + 5*z**4/4 + 13*z**3/4 + 7*z**2/4.
-z**2*(z - 7)*(z + 1)**2/4
Determine b so that -2*b**5/3 - 10*b**4 - 76*b**3/3 - 16*b**2 = 0.
-12, -2, -1, 0
Solve 3*x**3/8 - 51*x**2/8 + 15*x + 225/2 = 0 for x.
-3, 10
What is r in 2*r**3 + 366*r**2 - 2252*r + 3024 = 0?
-189, 2, 4
Let -3*u**4 + 9*u**3 + 3*u**2 - 9*u = 0. What is u?
-1, 0, 1, 3
Factor -2*m**2/7 - 1982*m/21 - 220/7.
-2*(m + 330)*(3*m + 1)/21
Factor h**4/3 - h**3/3 - 3*h**2 + 3*h.
h*(h - 3)*(h - 1)*(h + 3)/3
Factor -2*z**2 + 240*z - 7200.
-2*(z - 60)**2
Suppose 2*l**2 - 18 = 0. What is l?
-3, 3
Factor 2*h**2 + 118*h + 900.
2*(h + 9)*(h + 50)
Find m, given that -9*m**5 - 93*m**4 - 327*m**3 - 459*m**2 - 264*m - 48 = 0.
-4, -1, -1/3
Factor -3*v**4 - 78*v**3 - 213*v**2 - 138*v.
-3*v*(v + 1)*(v + 2)*(v + 23)
Solve 3*j**2/5 + 33*j/5 - 78/5 = 0.
-13, 2
Let -4*q**4 - 280*q**3 - 268*q**2 + 552*q = 0. What is q?
-69, -2, 0, 1
Suppose -o**5/8 + 3*o**4/4 + 5*o**3/4 - 5*o**2/2 - 9*o/8 + 7/4 = 0. What is o?
-2, -1, 1, 7
Find n, given that -2*n**4 + 1106*n**3 + 3330*n**2 + 3334*n + 1112 = 0.
-1, 556
Determine g, given that 18*g**4 + 542*g**3 + 42*g**2 - 542*g - 60 = 0.
-30, -1, -1/9, 1
Factor -5*r**4 - 320*r**3 - 7320*r**2 - 70400*r - 242000.
-5*(r + 10)**2*(r + 22)**2
What is v in 2*v**4/3 - 62*v**3 + 184*v**2/3 = 0?
0, 1, 92
Factor -5*h**4/2 - 6*h**3 - 9*h**2/2 - h.
-h*(h + 1)**2*(5*h + 2)/2
Determine z, given that 15*z**4 + 830*z**3 + 1075*z**2 - 280*z - 540 = 0.
-54, -1, 2/3
Let 2*a**5/25 + 2*a**4/25 - 36*a**3/25 - 4*a**2 - 94*a/25 - 6/5 = 0. What is a?
-3, -1, 5
Find a such that 2*a**3 - 28*a**2 - 2*a + 28 = 0.
-1, 1, 14
Let 5*v**5 + 40*v**4 + 120*v**3 + 170*v**2 + 115*v + 30 = 0. What is v?
-3, -2, -1
Suppose 2*w**4 - 54*w**3 - 122*w**2 + 174*w = 0. Calculate w.
-3, 0, 1, 29
Determine r, given that r**5/6 - r**4/2 - 95*r**3/6 - 67*r**2/2 + 245*r/3 + 100 = 0.
-5, -1, 2, 12
Factor -10*w**4 + 1135*w**3 - 3375*w**2/2 + 3365*w/4 - 140.
-5*(w - 112)*(2*w - 1)**3/4
Find n, given that 7*n**5/2 - 64*n**4 + 186*n**3 - 209*n**2 + 197*n/2 - 15 = 0.
2/7, 1, 15
Factor c**2 + 8*c + 7.
(c + 1)*(c + 7)
Solve -u**3 + 18*u**2 - 33*u + 16 = 0 for u.
1, 16
Solve -7*o**4/4 - 81*o**3/2 + 127*o**2 - 78*o = 0 for o.
-26, 0, 6/7, 2
Suppose -h**2/6 + 5*h/3 - 4 = 0. Calculate h.
4, 6
Determine r so that -324*r**5 - 2124*r**4 - 304*r**3 + 4352*r**2 - 1792*r + 192 = 0.
-6, -2, 2/9, 1
What is j in -675*j**4 - 2520*j**3 + 8808*j**2 - 2208*j + 144 = 0?
-6, 2/15, 2
Factor 3*b**2 - 57*b + 144.
3*(b - 16)*(b - 3)
Factor 2*q**2/13 - 142*q/13.
2*q*(q - 71)/13
Factor b**2 - 139*b/3 - 94/3.
(b - 47)*(3*b + 2)/3
Factor 3*l**3/2 + 3*l**2 - 33*l/2 - 18.
3*(l - 3)*(l + 1)*(l + 4)/2
What is d in 4*d**3/9 + 184*d**2/9 = 0?
-46, 0
Factor 6*l**3 - 69*l**2 + 120*l - 57.
3*(l - 1)**2*(2*l - 19)
Find m such that -2*m**3 - 2148*m**2 - 2146*m = 0.
-1073, -1, 0
Factor 2*d**2 - 1351*d/3 + 75.
(d - 225)*(6*d - 1)/3
Find o such that 904*o**2 - 234*o + 2 = 0.
1/113, 1/4
Factor 2*x**3/3 + 118*x**2/3 + 1798*x/3 + 1682/3.
2*(x + 1)*(x + 29)**2/3
Find y, given that 44*y**2 + 272*y + 48 = 0.
-6, -2/11
Factor -l**2 - 1034*l + 1035.
-(l - 1)*(l + 1035)
Suppose -1875*i**3 - 286575*i**2 + 45888*i - 1836 = 0. Calculate i.
-153, 2/25
What is v in v**4/10 + 7*v**3/10 - 11*v**2/2 - 127*v/10 - 33/5 = 0?
-11, -1, 6
Determine n so that -3*n**4/7 + 9*n**3/7 + 6*n**2/7 - 36*n/7 + 24/7 = 0.
-2, 1, 2
Find a, given that -a**4/4 - 233*a**3/2 - 1389*a**2/4 + a + 463 = 0.
-463, -2, 1
Factor 15*l**4 + 111*l**3 + 207*l**2 + 141*l + 30.
3*(l + 1)**2*(l + 5)*(5*l + 2)
Find u such that -3*u**2/4 + 129*u/4 - 63/2 = 0.
1, 42
Solve n**4/6 + n**3/2 - n**2/6 - n/2 = 0 for n.
-3, -1, 0, 1
Determine f, given that f**3 - 810*f**2 - 1624*f = 0.
-2, 0, 812
Determine n, given that -2*n**3/5 + 24*n**2/5 - 42*n/5 + 4 = 0.
1, 10
Factor 2*d**3/5 + 8*d**2/5 - 2*d/5 - 8/5.
2*(d - 1)*(d + 1)*(d + 4)/5
Factor k**2/6 + 38*k/3 - 77/6.
(k - 1)*(k + 77)/6
What is u in 4*u**2 - 48*u - 112 = 0?
-2, 14
What is l in -4*l**5 - 92*l**4 - 476*l**3 + 668*l**2 + 480*l - 576 = 0?
-12, -1, 1
Find p, given that -5*p**4 - 295*p**3 + 310*p**2 + 600*p = 0.
-60, -1, 0, 2
Factor 4*t**3/3 - 56*t**2/3 + 100*t/3 - 16.
4*(t - 12)*(t - 1)**2/3
Factor 5*b**3 - 45*b.
5*b*(b - 3)*(b + 3)
Determine y, given that 3*y**4 - 30*y**3 + 24*y**2 + 30*y - 27 = 0.
-1, 1, 9
Factor -a**4/2 + 9*a**3/2 - 3*a**2/2 - 37*a/2 - 12.
-(a - 8)*(a - 3)*(a + 1)**2/2
Factor -3*g**3 + 231*g**2 - 1278*g.
-3*g*(g - 71)*(g - 6)
Factor -7*c**4 - 16*c**3 + 52*c**2 + 16*c.
-c*(c - 2)*(c + 4)*(7*c + 2)
What is o in -5*o**4 - 950*o**3 + 955*o**2 = 0?
-191, 0, 1
Let 15*v**4 - 84*v**3 + 129*v**2 - 24*v - 36 = 0. Calculate v.
-2/5, 1, 2, 3
Factor 2*q**2 - 2.
2*(q - 1)*(q + 1)
Let 4*u**4/7 + 2*u**3/7 - 10*u**2/7 - 2*u/7 + 6/7 = 0. What is u?
-3/2, -1, 1
Solve -10*v**2 - 192*v + 1768 = 0 for v.
-26, 34/5
Suppose -5*b**5 + 40*b**4 - 115*b**3 + 140*b**2 - 60*b = 0. Calculate b.
0, 1, 2, 3
Factor 2*b**3/11 - 18*b**2/11 - 96*b/11 - 104/11.
2*(b - 13)*(b + 2)**2/11
Factor w**3 - 16*w**2 + 52*