 o**2/3 - 2*o/3 = 0.
-2, -1, 0, 1
Determine b so that 6*b**3/7 - 20*b**2/7 + 18*b/7 - 4/7 = 0.
1/3, 1, 2
Factor -h**2/2 + 4533*h/4 + 2267/4.
-(h - 2267)*(2*h + 1)/4
Suppose -324*k**4 - 5976*k**3 + 3548*k**2 + 2448*k + 304 = 0. What is k?
-19, -2/9, 1
Find l such that l**3 + l**2 - 8*l - 12 = 0.
-2, 3
Find u, given that 20*u**4 + 185*u**3 + 525*u**2 + 520*u + 100 = 0.
-5, -2, -1/4
Let -3*t**4/5 - 45*t**3 - 210*t**2 = 0. Calculate t.
-70, -5, 0
Factor 3*f**2/8 + 9*f/4 - 6.
3*(f - 2)*(f + 8)/8
Find k, given that -9*k**5/2 + 44*k**4 + 893*k**3/2 + 52*k**2 - 442*k - 96 = 0.
-6, -1, -2/9, 1, 16
Factor g**3/6 + 6*g**2 + 54*g.
g*(g + 18)**2/6
Factor 4*v**4/3 - 32*v**3/3 + 32*v**2/3 + 128*v/3 - 64.
4*(v - 6)*(v - 2)**2*(v + 2)/3
Determine s, given that 6*s**3/5 + 12*s**2 + 96*s/5 = 0.
-8, -2, 0
Solve 2*m**3/7 - 74*m**2/7 = 0.
0, 37
Factor 972*d**3 + 432*d**2 - 897*d - 507.
3*(d - 1)*(18*d + 13)**2
Suppose -4*d**3/5 - 184*d**2/5 - 356*d/5 - 176/5 = 0. What is d?
-44, -1
Suppose -2*p**5 - 8*p**4 - 2*p**3 + 12*p**2 = 0. What is p?
-3, -2, 0, 1
Determine z, given that z**4 + 49*z**3 + 753*z**2 + 2983*z - 9386 = 0.
-19, -13, 2
Determine o, given that -o**5/3 - o**4 + 4*o**3/3 + 4*o**2 = 0.
-3, -2, 0, 2
Suppose -u**5/2 + 23*u**4/2 + 14*u**3 - 46*u**2 - 48*u = 0. What is u?
-2, -1, 0, 2, 24
Factor -2*r**4/7 - 22*r**3/7 - 72*r**2/7 - 32*r/7 + 128/7.
-2*(r - 1)*(r + 4)**3/7
Determine h, given that -11*h**3/2 + 145*h**2/2 - 233*h + 40 = 0.
2/11, 5, 8
Let -o**3/2 + 255*o**2/2 - 21675*o/2 + 614125/2 = 0. What is o?
85
Factor 3*i**2 - 783*i.
3*i*(i - 261)
Factor -15*x**3 + 999*x**2 + 2472*x + 828.
-3*(x - 69)*(x + 2)*(5*x + 2)
Let 49*t**4/4 - 819*t**3/2 - 10503*t**2/4 - 1399*t - 195 = 0. What is t?
-5, -2/7, 39
Factor -2*c**3 + 4*c**2 + 42*c + 36.
-2*(c - 6)*(c + 1)*(c + 3)
Find x, given that 2*x**2/7 - 4*x - 102/7 = 0.
-3, 17
Suppose -4*k**4/5 - 208*k**3/5 - 1748*k**2/5 - 2888*k/5 - 1344/5 = 0. What is k?
-42, -8, -1
Solve 5*g**5 - 82*g**4 + 382*g**3 - 380*g**2 - 579*g + 270 = 0.
-1, 2/5, 3, 5, 9
Factor -4*j**3/3 - 1456*j**2/3 - 42160*j + 369024.
-4*(j - 8)*(j + 186)**2/3
Find r, given that 294*r**5 - 1036*r**4 + 1412*r**3 - 928*r**2 + 294*r - 36 = 0.
3/7, 2/3, 1
Factor 2*o**5/5 - 12*o**4/5 + 22*o**3/5 - 4*o**2/5 - 24*o/5 + 16/5.
2*(o - 2)**3*(o - 1)*(o + 1)/5
Let l**5/9 + 103*l**4/3 + 305*l**3/9 - 925*l**2/9 - 34*l + 616/9 = 0. Calculate l.
-308, -2, -1, 1
Factor 5*s**4 - 210*s**3 - 1395*s**2 - 2160*s.
5*s*(s - 48)*(s + 3)**2
Solve -2*b**3 + 1404*b**2 - 328536*b + 25625808 = 0 for b.
234
Find l such that -5*l**4 + 315*l**3 - 4100*l**2 - 27540*l - 23120 = 0.
-4, -1, 34
Factor 10*y**3/3 - 83*y**2 + 218*y/3 - 16.
(y - 24)*(2*y - 1)*(5*y - 2)/3
Let 2*x**2/3 - 44*x/3 + 14 = 0. Calculate x.
1, 21
Factor f**4 + 21*f**3 + 45*f**2 - 689*f + 1014.
(f - 3)*(f - 2)*(f + 13)**2
Factor c**3/4 - 7*c**2/2 + 41*c/4 + 14.
(c - 8)*(c - 7)*(c + 1)/4
Factor 2*h**3/7 - 6*h**2 + 172*h/7 - 192/7.
2*(h - 16)*(h - 3)*(h - 2)/7
Factor -3*j**2/4 + 61*j/12 + 35/6.
-(j + 1)*(9*j - 70)/12
Factor q**4/3 - 3*q**2 + 4*q/3 + 4.
(q - 2)**2*(q + 1)*(q + 3)/3
Factor 2*j**4/7 - 4*j**3/7 - 22*j**2/7 + 24*j/7 + 72/7.
2*(j - 3)**2*(j + 2)**2/7
Determine m, given that 15*m**3 + 40*m**2 + 15*m - 10 = 0.
-2, -1, 1/3
Solve -v**2/2 + 30*v - 450 = 0 for v.
30
Determine s, given that -s**2/8 - 79*s/8 + 299/2 = 0.
-92, 13
Factor 16*z**2/3 - 22*z/3 + 2.
2*(z - 1)*(8*z - 3)/3
Suppose -5*c**2 + 120*c - 315 = 0. Calculate c.
3, 21
Solve -3*k**3 + 543*k**2 - 15072*k + 114432 = 0.
16, 149
Let -14*z**4/5 + 394*z**3/5 - 42*z**2/5 - 394*z/5 + 56/5 = 0. Calculate z.
-1, 1/7, 1, 28
Factor 2*u**2/5 - 171*u/5 + 169/5.
(u - 1)*(2*u - 169)/5
Determine o, given that -o**5 + 7*o**3 + 2*o**2 - 12*o - 8 = 0.
-2, -1, 2
Factor 3*r**3 + 96*r**2 - 12*r - 384.
3*(r - 2)*(r + 2)*(r + 32)
Determine v, given that v**4/2 + v**3 - v - 1/2 = 0.
-1, 1
Find r such that -8*r**5/3 + 178*r**4 - 2853*r**3 - 12163*r**2/3 + 3264*r + 3468 = 0.
-3/2, -3/4, 1, 34
Factor -3*c**2/2 - 1245*c/2 + 624.
-3*(c - 1)*(c + 416)/2
Factor -u**3/2 - 101*u**2/2 + 436*u.
-u*(u - 8)*(u + 109)/2
Find a, given that -2*a**5 + 38*a**4 - 54*a**3 - 1278*a**2 - 1296*a + 2592 = 0.
-3, 1, 12
What is g in 4*g**2 - 464*g = 0?
0, 116
Factor 20*n**3 + 64*n**2 - 188*n - 40.
4*(n - 2)*(n + 5)*(5*n + 1)
Let -3*y**2 - 3*y = 0. Calculate y.
-1, 0
Factor -108*q**3 + 396*q**2 + 192*q - 1280.
-4*(3*q - 8)**2*(3*q + 5)
Factor -z**4/4 - 3*z**3/4 + z**2.
-z**2*(z - 1)*(z + 4)/4
What is o in 4*o**5 - 60*o**4 + 52*o**3 + 60*o**2 - 56*o = 0?
-1, 0, 1, 14
Factor 3*h**3 + 108*h**2 + 567*h + 810.
3*(h + 3)**2*(h + 30)
Factor -4*z**3 + 516*z**2 - 2016*z + 2000.
-4*(z - 125)*(z - 2)**2
Factor 2*k**3 + 92*k**2 + 960*k - 2304.
2*(k - 2)*(k + 24)**2
Factor -2*g**2/3 + 92*g/3 - 86.
-2*(g - 43)*(g - 3)/3
Factor -4*r**3 + 392*r**2 - 1148*r + 760.
-4*(r - 95)*(r - 2)*(r - 1)
Factor -2*c**4/13 - 16*c**3/13 - 32*c**2/13.
-2*c**2*(c + 4)**2/13
Factor 2*j**5 + 8*j**4 + 6*j**3.
2*j**3*(j + 1)*(j + 3)
Find h such that 3*h**5 - 9*h**4 - 48*h**3 + 264*h**2 - 432*h + 240 = 0.
-5, 2
Factor -5*t**3/3 - 55*t**2/3 - 155*t/3 - 35.
-5*(t + 1)*(t + 3)*(t + 7)/3
Solve m**3/4 + 5*m**2/4 - m/4 - 5/4 = 0 for m.
-5, -1, 1
What is h in 14*h**5/13 + 38*h**4/13 - 12*h**3/13 - 56*h**2/13 + 16*h/13 = 0?
-2, 0, 2/7, 1
Factor -n**4/2 + 15*n**3/2 + 27*n**2 + 2*n - 36.
-(n - 18)*(n - 1)*(n + 2)**2/2
Factor -2*i**3 - 162*i**2 + 332*i.
-2*i*(i - 2)*(i + 83)
Determine v, given that v**4/8 + 13*v**3/4 + 169*v**2/8 = 0.
-13, 0
Find y such that -3*y**4 - 1092*y**3 - 2169*y**2 + 1092*y + 2172 = 0.
-362, -2, -1, 1
Factor -11*l**4/2 + 35*l**3/2 - 3*l**2.
-l**2*(l - 3)*(11*l - 2)/2
Factor 5*k**3 - 3220*k**2 + 505300*k + 4251040.
5*(k - 326)**2*(k + 8)
Factor 2*x**2 + 4*x - 6.
2*(x - 1)*(x + 3)
Factor f**4/3 + 3*f**3 + 9*f**2 + 9*f.
f*(f + 3)**3/3
Let -15*s**4/2 + 151*s**3/2 + 577*s**2/2 - 59*s/2 - 39 = 0. Calculate s.
-3, -1/3, 2/5, 13
Factor -8*y**2 + 146*y.
-2*y*(4*y - 73)
Find g, given that 5*g**4 + 115*g**3 + 210*g**2 = 0.
-21, -2, 0
Factor -2*h**2/21 + 13474*h/21 + 4492/7.
-2*(h - 6738)*(h + 1)/21
Solve 3*z**5/5 - 21*z**4/5 + 42*z**3/5 - 6*z**2/5 - 9*z + 27/5 = 0 for z.
-1, 1, 3
Let -q**2/4 - 173*q/4 + 87/2 = 0. Calculate q.
-174, 1
Solve -2*m**3/11 + 2*m**2/11 + 16*m/11 - 24/11 = 0.
-3, 2
Factor -2*u**2/11 + 180*u/11 + 182/11.
-2*(u - 91)*(u + 1)/11
Solve -2*y**4/11 + 12*y**3/11 - 26*y**2/11 + 24*y/11 - 8/11 = 0 for y.
1, 2
Factor 2*y**3/15 - 2708*y**2/5 - 5418*y/5 - 8128/15.
2*(y - 4064)*(y + 1)**2/15
Suppose 2*j**3/7 - 24*j**2/7 - 86*j/7 - 60/7 = 0. Calculate j.
-2, -1, 15
Factor -2*z**3 + 396*z**2 - 2314*z + 1920.
-2*(z - 192)*(z - 5)*(z - 1)
Factor 52*j**2 + 3408*j - 1584.
4*(j + 66)*(13*j - 6)
Factor -j**5 - 4*j**4 - 3*j**3.
-j**3*(j + 1)*(j + 3)
Determine r, given that -r**4/2 - 29*r**3/2 + 15*r**2 = 0.
-30, 0, 1
Determine m, given that m**3/4 - 5*m**2/2 - 23*m/4 - 3 = 0.
-1, 12
Factor 4*l**3 + 2680*l**2 - 8068*l + 5384.
4*(l - 2)*(l - 1)*(l + 673)
Factor v**3/2 - 7*v**2 - 15*v/2.
v*(v - 15)*(v + 1)/2
Factor -p**2/4 - 27*p/4 - 38.
-(p + 8)*(p + 19)/4
Factor -x**2/10 + 5*x + 52/5.
-(x - 52)*(x + 2)/10
Let 5*m**3 + 195*m**2 + 1995*m + 1805 = 0. What is m?
-19, -1
Factor 3*t**2/2 + 66*t + 726.
3*(t + 22)**2/2
Suppose n**3/2 + 21*n**2 + 441*n/2 = 0. What is n?
-21, 0
Factor -18*y**4 + 64*y**3 - 368*y**2/9 - 256*y/9 - 32/9.
-2*(y - 2)**2*(9*y + 2)**2/9
Let 39*a**2 + 174*a - 504 = 0. What is a?
-84/13, 2
Solve -4*x**2/15 + 5986*x/15 - 2992/15 = 0 for x.
1/2, 1496
Solve 4*s**4 - 36*s**3 + 108*s**2 - 108*s = 0.
0, 3
Find a, given that -275684*a**3/3 - 443784*a**2 - 714384*a - 383328 = 0.
-66/41
Solve -3*n**2/2 - 351*n/2 - 513 = 0.
-114, -3
Solve -55*y**3 - 340*y**2 + 325*y + 70 = 0.
-7, -2/11, 1
What is p in -4*p**2 - 21928*p - 30052324 = 0?
-2741
Factor m**4/3 - 110*m**3 + 12100*m**2 - 1331000*m/3.
m*(m - 110)**3/3
Determine q so that 16*q**4 + 92*q**3 + 152*q**2 + 52*q - 24 = 0.
-3, -2, -1, 1/4
Suppose -2*z**2/3 - 8*z/3 + 10/3 = 0. What is z?
-5, 1
What is n in 81*n**3/4 - n**2/4 - 81*n/4 + 1/4 = 0?
-1, 1/81, 1
Factor -5*r**2/2 + 495*r - 985/2.
-5*(r - 197)*(r - 1)/2
Find j, given that 3*j**4/4 + 21*j**3/4 - 15*j**2 - 99*j + 108 = 0.
-6, 1, 4
Factor -2*n**3/13 - 16*n**2/13 - 38*n/13 - 24/13.
-2*(n + 1)*(n + 3)*(n + 4)/13
Factor 4*i**2