**2 - 21*q/2 - 3 = 0. What is q?
-1, 2
Factor r**3/2 - 57*r**2.
r**2*(r - 114)/2
Suppose 7*u**5/3 + 67*u**4 + 1307*u**3/3 - 655*u**2 + 150*u = 0. What is u?
-15, 0, 2/7, 1
Factor 2*u**2 + 1056*u + 139392.
2*(u + 264)**2
Find v, given that -3*v**2/4 + 30*v + 123/4 = 0.
-1, 41
Factor -1347917796*z**2 - 293712*z - 16.
-4*(18357*z + 2)**2
Determine t so that -4*t**5 - 64*t**4 - 356*t**3 - 824*t**2 - 816*t - 288 = 0.
-6, -2, -1
Factor -v**3/4 - 11*v**2/4 - 17*v/2 - 6.
-(v + 1)*(v + 4)*(v + 6)/4
What is x in 3*x**4 - 3*x**3 - 21*x**2 + 3*x + 18 = 0?
-2, -1, 1, 3
Determine f so that -f**4/2 - 21*f**3/2 - 44*f**2 - 66*f - 32 = 0.
-16, -2, -1
Factor -10*t**5/3 + 8*t**4 - 4*t**3 - 8*t**2/3 + 2*t.
-2*t*(t - 1)**3*(5*t + 3)/3
Suppose 4*g**4/7 + 12*g**3/7 - 40*g**2/7 = 0. What is g?
-5, 0, 2
Factor 3*j**4/7 - 2*j**3/7 - 32*j**2/7 - 32*j/7.
j*(j - 4)*(j + 2)*(3*j + 4)/7
Factor 2*z**2/3 - 1732*z/3.
2*z*(z - 866)/3
Factor -5*a**5 + 15*a**4 + 230*a**3 - 730*a**2 + 735*a - 245.
-5*(a - 7)*(a - 1)**3*(a + 7)
Suppose 2*a**3/7 - 306*a**2/7 + 2010*a - 170582/7 = 0. Calculate a.
19, 67
Factor -5*f**2 - 25*f.
-5*f*(f + 5)
What is l in l**3/2 - 75*l**2/2 - 153*l/2 - 77/2 = 0?
-1, 77
Suppose -8*z**2 - 86*z = 0. What is z?
-43/4, 0
Factor 4*h**2/9 + 364*h/9 + 712/9.
4*(h + 2)*(h + 89)/9
Factor 7*t**2/9 + 17*t/3 + 14/9.
(t + 7)*(7*t + 2)/9
Solve -2*t**4/11 + 30*t**3/11 + 2*t**2/11 - 30*t/11 = 0 for t.
-1, 0, 1, 15
Factor -y**5 + 22*y**4 - 40*y**3 - 2*y**2 + 41*y - 20.
-(y - 20)*(y - 1)**3*(y + 1)
What is c in c**2/2 + 43*c/2 + 95 = 0?
-38, -5
Find s, given that -s**5 + 2*s**4/5 + 9*s**3 - 38*s**2/5 - 52*s/5 + 24/5 = 0.
-3, -1, 2/5, 2
Determine x so that x**4/6 - 12*x**2 + 216 = 0.
-6, 6
Let -5*q**5 - 10*q**4 + 35*q**3 + 40*q**2 - 60*q = 0. Calculate q.
-3, -2, 0, 1, 2
What is h in -3*h**5 + 9*h**4 + 6*h**3 - 18*h**2 - 3*h + 9 = 0?
-1, 1, 3
Factor 3*l**4 + 18*l**3 - 108*l**2 - 162*l + 729.
3*(l - 3)**2*(l + 3)*(l + 9)
Let -2*n**4/3 + 74*n**3/3 - 150*n**2 + 306*n - 180 = 0. Calculate n.
1, 3, 30
Find d, given that -3*d**2/2 - 8*d/5 - 1/10 = 0.
-1, -1/15
Factor -2*v**4/5 + 14*v**3 - 858*v**2/5 + 4114*v/5 - 5324/5.
-2*(v - 11)**3*(v - 2)/5
Factor 20*f**3 - 3212*f**2 - 17888*f - 6640.
4*(f - 166)*(f + 5)*(5*f + 2)
Let -2*c**2/7 + 148*c/7 - 2738/7 = 0. What is c?
37
Factor -4*q**2 + 16*q - 16.
-4*(q - 2)**2
Let -o**5/5 - 3*o**4/5 + 49*o**3/5 - 57*o**2/5 - 108*o/5 = 0. Calculate o.
-9, -1, 0, 3, 4
Determine j so that 5*j**3 - 70*j**2 = 0.
0, 14
Solve -3*n**2 - 294*n - 7203 = 0 for n.
-49
Find u such that -5*u**3 + 270*u**2 + 845*u + 570 = 0.
-2, -1, 57
Solve -3*g**2/4 - 45*g/2 + 93/4 = 0.
-31, 1
Let 5*i**4 + 50*i**3 + 125*i**2 = 0. Calculate i.
-5, 0
Factor m**2 + 178*m + 177.
(m + 1)*(m + 177)
Factor s**2/3 + s/3 - 2.
(s - 2)*(s + 3)/3
Determine p, given that 2*p**5 + 22*p**4 + 16*p**3 - 40*p**2 = 0.
-10, -2, 0, 1
Determine u so that 3*u**5 + 18*u**4 - 78*u**3 + 36*u**2 + 75*u - 54 = 0.
-9, -1, 1, 2
Factor -9*o**3/2 + 4695*o**2/2 - 1563*o.
-3*o*(o - 521)*(3*o - 2)/2
Suppose 36*u**5/5 - 98*u**4/5 - 178*u**3/5 + 404*u**2/5 + 136*u/5 - 48/5 = 0. Calculate u.
-2, -1/2, 2/9, 2, 3
Solve -2*k**4/7 + 892*k**3/7 - 99458*k**2/7 = 0 for k.
0, 223
Find y such that 3*y**4 - 123*y**3 - 255*y**2 - 129*y = 0.
-1, 0, 43
Determine a, given that -3*a**2 - 237*a - 234 = 0.
-78, -1
Find o, given that -98*o**5 + 2982*o**4 - 23262*o**3 + 8018*o**2 + 10560*o + 1800 = 0.
-2/7, 1, 15
Factor 16*i**3 - 92*i**2 - 280*i - 64.
4*(i - 8)*(i + 2)*(4*i + 1)
Determine g so that 3*g**4 - 240*g**3 + 1359*g**2 - 1998*g = 0.
0, 3, 74
Factor -h**2/2 - 15*h.
-h*(h + 30)/2
Factor k**5 - 18*k**3 + 81*k.
k*(k - 3)**2*(k + 3)**2
Solve -8*a**4 - 34*a**3 - 44*a**2 - 18*a = 0.
-9/4, -1, 0
Factor -4*o**2/9 + 8*o/3 + 64/9.
-4*(o - 8)*(o + 2)/9
Let 2*k**3/3 + 40*k**2/3 - 86*k/3 + 44/3 = 0. What is k?
-22, 1
Let -3*x**4/7 + 50*x**3/7 - 17*x**2 + 100*x/7 - 4 = 0. What is x?
2/3, 1, 14
Factor -s**3/8 + 7*s**2/4 - 59*s/8 + 35/4.
-(s - 7)*(s - 5)*(s - 2)/8
Factor -5*h**2 - 700*h - 1380.
-5*(h + 2)*(h + 138)
Factor s**4/4 + 15*s**3/4 + 7*s**2/2.
s**2*(s + 1)*(s + 14)/4
Factor -h**3/9 - 2*h**2 + 28*h/3 + 1960/9.
-(h - 10)*(h + 14)**2/9
Determine t so that t**4/3 - 18*t**3 - 169*t**2/3 - 38*t = 0.
-2, -1, 0, 57
Solve -3*i**5/4 + i**4 + i**3/4 - i**2/2 = 0.
-2/3, 0, 1
Determine g, given that -2*g**3/3 + 130*g**2 - 388*g/3 = 0.
0, 1, 194
Let -4*a**2 - 84*a - 80 = 0. What is a?
-20, -1
Find f, given that 20*f**2/3 - 14*f + 4/3 = 0.
1/10, 2
Solve 20*a**2/9 + 58*a/9 - 2/3 = 0 for a.
-3, 1/10
Factor -p**3 + 151*p**2 + 1920*p + 5868.
-(p - 163)*(p + 6)**2
Factor -5*f**3 - 5850*f**2 - 1705260*f + 3433960.
-5*(f - 2)*(f + 586)**2
Suppose 3*r**3 + 21*r**2 + 48*r + 36 = 0. What is r?
-3, -2
Suppose -3*y**2/5 - 4200*y - 7350000 = 0. Calculate y.
-3500
Factor -u**2/5 - 3*u - 54/5.
-(u + 6)*(u + 9)/5
Find m, given that 6*m**3 - 129*m**2 - 1506*m - 720 = 0.
-8, -1/2, 30
Find s such that s**3/3 + 11*s**2/3 + 12*s + 12 = 0.
-6, -3, -2
Find v, given that -v**4/3 + 17*v**3 + 217*v**2/3 + 55*v = 0.
-3, -1, 0, 55
Factor -3*f**5 + 36*f**4 - 150*f**3 + 216*f**2 + 81*f - 324.
-3*(f - 4)*(f - 3)**3*(f + 1)
Determine h so that 4*h**4/3 + 26*h**3/9 - 32*h**2/9 - 2*h/3 = 0.
-3, -1/6, 0, 1
Factor 3*q**2 - 6*q - 189.
3*(q - 9)*(q + 7)
Factor x**4/2 - 7*x**3 + 22*x**2 - 20*x.
x*(x - 10)*(x - 2)**2/2
Determine b so that 2*b**2 - 2766*b - 5540 = 0.
-2, 1385
Factor 4*j**4/5 + 8*j**3/5 - 8*j/5 - 4/5.
4*(j - 1)*(j + 1)**3/5
Find m, given that -2*m**3/9 + 22*m**2/9 - 4*m = 0.
0, 2, 9
Solve v**4/4 - 91*v**3/4 + 1181*v**2/2 - 3297*v + 4410 = 0.
2, 5, 42
Determine x so that -x**2 + 24*x + 52 = 0.
-2, 26
Let 196*u**4/5 - 602*u**3/5 + 492*u**2/5 - 152*u/5 + 16/5 = 0. What is u?
2/7, 1/2, 2
What is y in 5*y**4 - 200*y**3 - 20*y**2 + 800*y = 0?
-2, 0, 2, 40
Factor c**3/2 + 5*c**2/2 - c/2 - 5/2.
(c - 1)*(c + 1)*(c + 5)/2
Solve k**2/8 + 41*k/4 + 81/8 = 0.
-81, -1
What is m in 2*m**2 - 2922*m + 2920 = 0?
1, 1460
Suppose -2*t**3 + 15*t**2 - 6*t - 7 = 0. Calculate t.
-1/2, 1, 7
Factor -5*m**2 - 4260*m + 8540.
-5*(m - 2)*(m + 854)
Find m, given that 5*m**4 - 70*m**3 - 545*m**2 - 1070*m - 600 = 0.
-3, -2, -1, 20
Determine p, given that 4*p**4 + 68*p**3 + 372*p**2 + 700*p + 392 = 0.
-7, -2, -1
Solve 8*b**3/3 - 19*b**2/3 + 14*b/3 - 1 = 0 for b.
3/8, 1
Suppose 48*v**5 + 2472*v**4 + 3603*v**3 + 132*v**2 - 897*v + 150 = 0. What is v?
-50, -1, 1/4
What is h in 2*h**3/11 + 46*h**2/11 + 32*h + 896/11 = 0?
-8, -7
Factor -2*o**3/11 - 196*o**2/11 + 18*o.
-2*o*(o - 1)*(o + 99)/11
Find u, given that u**4/4 + u**3 - u**2/4 - u = 0.
-4, -1, 0, 1
Let -3*p**4/7 + 225*p**3/7 - 63*p**2 + 219*p/7 = 0. Calculate p.
0, 1, 73
Determine m, given that -9*m**2 - 654*m + 219 = 0.
-73, 1/3
Solve -v**2 - 6600*v - 10890000 = 0.
-3300
Factor 3*b**4 + 30*b**3 + 39*b**2 - 72*b.
3*b*(b - 1)*(b + 3)*(b + 8)
Solve -758912*m**4/9 + 756448*m**3/9 + 2462*m**2/9 + 2*m/9 = 0 for m.
-1/616, 0, 1
Suppose 140*l**3 + 776*l**2 - 396*l - 72 = 0. Calculate l.
-6, -1/7, 3/5
Factor c**3 + c**2 - 36*c - 36.
(c - 6)*(c + 1)*(c + 6)
Determine s, given that -s**3/2 + 447*s**2/2 - 66603*s/2 + 3307949/2 = 0.
149
Find a, given that -4*a**3 + 444*a**2 + 16920*a = 0.
-30, 0, 141
Suppose n**5 + n**4 - 2*n**3 = 0. What is n?
-2, 0, 1
Solve 3*i**3/7 - 57*i**2/7 + 192*i/7 - 180/7 = 0 for i.
2, 15
Solve 3*k**4/2 + 12*k**3 + 69*k**2/2 + 42*k + 18 = 0.
-3, -2, -1
Factor -65*b**2 + 985*b - 150.
-5*(b - 15)*(13*b - 2)
Let 20*b**4 - 68*b**3 + 24*b**2 = 0. What is b?
0, 2/5, 3
Determine o, given that 5*o**5 - 10*o**4 - 5*o**3 + 10*o**2 = 0.
-1, 0, 1, 2
Find p such that -3*p**2/4 - 27*p/4 = 0.
-9, 0
Solve 2*m**2 - 12*m = 0 for m.
0, 6
What is i in -7*i**4 - 286*i**3 - 2739*i**2 + 4032*i + 5292 = 0?
-21, -6/7, 2
Determine a, given that -3*a**5 + 9*a**4 + 3*a**3 - 33*a**2 + 36*a - 12 = 0.
-2, 1, 2
Solve 5*w**4 + 4085*w**3 + 828210*w**2 - 2513300*w + 1681000 = 0 for w.
-410, 1, 2
What is d in 2*d**4 - 6*d**3 + 2*d**2 + 6*d - 4 = 0?
-1, 1, 2
Suppose -j**4/2 + 4*j**3 + 33*j**2/2 + 2*j - 22 = 0. Calculate j.
-2, 1, 11
Factor -4*w**3 + 32*w**2 + 132*w.
-4*w*(w - 11)*(w + 3)
Solve -2*o**5 + 46*o**4 - 186*o**3 - 910*o**2 - 676*o = 0 for o.
-2, -1, 0, 13
Factor -3*d**4 + 48*d**3 - 192*d**2.
-3*d**2*(d - 8)**2
Solve -2*j**2/15 + 504*j/5 + 1518/5 = 0 for j.
-3,