iven that -2*u**4 + 30*u**3 - 144*u**2 + 216*u = 0.
0, 3, 6
Factor -2*g**2/7 - 136*g + 2874/7.
-2*(g - 3)*(g + 479)/7
Factor 2*v**3/9 - 122*v**2/3 + 7442*v/3 - 453962/9.
2*(v - 61)**3/9
Let -32*g**4/9 - 400*g**3/9 - 182*g**2/3 - 22*g = 0. What is g?
-11, -3/4, 0
Factor -2*p**4/3 + 76*p**3/3 - 312*p**2 + 3380*p/3 + 4394/3.
-2*(p - 13)**3*(p + 1)/3
Solve -16*p**4/11 + 70*p**3/11 - 24*p**2/11 = 0.
0, 3/8, 4
Suppose 3*a**5 + 33*a**4 + 81*a**3 + 75*a**2 + 24*a = 0. What is a?
-8, -1, 0
Factor -2*q**3/5 + 238*q**2/5 + 244*q/5 - 96.
-2*(q - 120)*(q - 1)*(q + 2)/5
Factor b**2/2 + 382*b + 72962.
(b + 382)**2/2
Factor -4*i**2/3 - 764*i/3 + 2680.
-4*(i - 10)*(i + 201)/3
Factor s**3 + 103*s**2/6 - 91*s/6 - 3.
(s - 1)*(s + 18)*(6*s + 1)/6
Determine i, given that 3*i**3/2 - 21*i**2/2 - 36*i + 270 = 0.
-5, 6
Factor -4*d**2 - 308*d.
-4*d*(d + 77)
Factor -3*l**3/5 + 9*l/5 - 6/5.
-3*(l - 1)**2*(l + 2)/5
Factor o**3/9 - 1039*o**2/9 - 2081*o/9 - 347/3.
(o - 1041)*(o + 1)**2/9
Factor -z**2 + 61*z - 330.
-(z - 55)*(z - 6)
Factor -4*v**4 - 7040*v**3 - 3097600*v**2.
-4*v**2*(v + 880)**2
Factor 5*b**2 - 140*b.
5*b*(b - 28)
Find s such that 180*s**5 - 69*s**4 - 174*s**3 + 69*s**2 - 6*s = 0.
-1, 0, 2/15, 1/4, 1
Find o, given that o**2/4 + 51*o/2 - 52 = 0.
-104, 2
Suppose -l**4/2 + l**3/2 + 3*l**2 = 0. Calculate l.
-2, 0, 3
Factor 5*h**2 - 135*h + 250.
5*(h - 25)*(h - 2)
Determine b so that 5*b**2 + 610*b - 2520 = 0.
-126, 4
Factor 3*u**3 - 27*u**2 + 81*u - 81.
3*(u - 3)**3
Suppose -2*l**5 + 108*l**4 - 506*l**3 + 792*l**2 - 392*l = 0. What is l?
0, 1, 2, 49
Suppose -2*i**2/17 - 6*i/17 + 20/17 = 0. What is i?
-5, 2
Factor c**3/8 - 123*c**2/8 - 505*c/8 - 381/8.
(c - 127)*(c + 1)*(c + 3)/8
Let f**5 + 22*f**4 + 166*f**3 + 448*f**2 + 49*f - 686 = 0. What is f?
-7, -2, 1
Find m, given that 2*m**2 + 376*m - 1146 = 0.
-191, 3
Factor -u**3/6 + 12*u**2 - 437*u/6 - 195.
-(u - 65)*(u - 9)*(u + 2)/6
Factor -4*s**3 - 140*s**2 + 4*s + 140.
-4*(s - 1)*(s + 1)*(s + 35)
Let 3*w**3 - 36*w + 48 = 0. What is w?
-4, 2
Find k such that 2*k**3 + 100*k**2 + 286*k + 188 = 0.
-47, -2, -1
Determine p, given that 20*p**5 + 15*p**4 - 125*p**3 - 50*p**2 + 180*p - 40 = 0.
-2, 1/4, 1, 2
What is u in u**4/7 + 1051*u**3/7 - 3159*u**2/7 + 3161*u/7 - 1054/7 = 0?
-1054, 1
Factor f**2/4 - 61*f + 2115/4.
(f - 235)*(f - 9)/4
Factor p**3/6 - 11*p**2 - 67*p/6.
p*(p - 67)*(p + 1)/6
Factor -15*b**2 + 111*b - 42.
-3*(b - 7)*(5*b - 2)
Factor 4*t**4 - 196*t**3 + 3156*t**2 - 17836*t + 14872.
4*(t - 22)*(t - 13)**2*(t - 1)
Factor 20*f**3 + 776*f**2 + 604*f - 152.
4*(f + 1)*(f + 38)*(5*f - 1)
What is s in 5*s**5 - 30*s**4 + 20*s**3 + 120*s**2 - 160*s = 0?
-2, 0, 2, 4
Solve 25*o**2 + 110*o + 40 = 0.
-4, -2/5
Solve -14*n**5/5 - 54*n**4 + 596*n**3/5 + 21752*n**2/5 - 15792*n/5 - 6272/5 = 0 for n.
-14, -2/7, 1, 8
Find m such that 4*m**5 + 416*m**4 + 10804*m**3 - 1256*m**2 - 33280*m - 21632 = 0.
-52, -1, 2
Factor -4*y**4/9 + 32*y**3/9 - 28*y**2/9.
-4*y**2*(y - 7)*(y - 1)/9
Solve -i**2/7 - i + 8/7 = 0.
-8, 1
Determine g so that 26770276*g**2/3 + 82784*g/3 + 64/3 = 0.
-4/2587
Factor -3*x**2/4 + 1281*x/4 - 639/2.
-3*(x - 426)*(x - 1)/4
Factor x**3/5 + 16*x**2/5 - 7*x + 18/5.
(x - 1)**2*(x + 18)/5
Determine s so that -s**2/7 + 157*s/7 + 158/7 = 0.
-1, 158
Factor -15*v**2/7 - 5361*v/7 - 306.
-3*(v + 357)*(5*v + 2)/7
Find w, given that -w**2 + 30*w + 31 = 0.
-1, 31
Factor n**3/3 - 301*n**2 + 68101*n - 203401/3.
(n - 451)**2*(n - 1)/3
Factor -50*r**3/11 + 96*r**2/11 + 8*r/11.
-2*r*(r - 2)*(25*r + 2)/11
What is r in -10*r**5 + 5315*r**4 - 704875*r**3 - 367090*r**2 + 1774220*r - 707560 = 0?
-2, 1/2, 1, 266
Solve -15*k**2 + 1730*k - 575 = 0.
1/3, 115
Suppose -3*d**5 - 6*d**4 + 66*d**3 + 60*d**2 - 279*d - 270 = 0. Calculate d.
-5, -2, -1, 3
Let 28*q**3 + 48*q**2 - 240*q + 64 = 0. What is q?
-4, 2/7, 2
Determine o so that 2*o**2 + 20240*o + 51207200 = 0.
-5060
Find u such that 4*u**3/5 - 42*u**2/5 - 22*u/5 = 0.
-1/2, 0, 11
Let 3*r**2/2 - 117*r/2 = 0. Calculate r.
0, 39
Solve -171*d**2/5 + 204*d + 36/5 = 0.
-2/57, 6
Find d, given that d**4/4 + 23*d**3 - 579*d**2/4 + 441*d/2 = 0.
-98, 0, 3
Factor 3*c**2 - 15*c + 18.
3*(c - 3)*(c - 2)
Factor -b**5/7 + b**4 - 19*b**3/7 + 25*b**2/7 - 16*b/7 + 4/7.
-(b - 2)**2*(b - 1)**3/7
Factor -2*v**5/3 - 16*v**4/3 - 12*v**3 - 32*v**2/3 - 10*v/3.
-2*v*(v + 1)**3*(v + 5)/3
Determine i, given that i**2/8 + 229*i/8 - 413/2 = 0.
-236, 7
Solve q**4/5 - 418*q**3 + 1096197*q**2/5 - 871948*q + 4351396/5 = 0 for q.
2, 1043
What is u in -14*u**4/9 - 46*u**3/9 + 2*u**2/9 + 46*u/9 + 4/3 = 0?
-3, -1, -2/7, 1
Factor o**3/5 + 9*o**2/5 - 9*o/5 - 81/5.
(o - 3)*(o + 3)*(o + 9)/5
Factor 2*d**2 - 259*d - 130.
(d - 130)*(2*d + 1)
Solve -p**2 + 9*p - 14 = 0 for p.
2, 7
Suppose -21*k**3 + 40*k**2 - 17*k - 2 = 0. Calculate k.
-2/21, 1
Factor 21*s**3 - 12*s**2 - 9*s.
3*s*(s - 1)*(7*s + 3)
Determine a so that -2*a**3 + 44*a**2/3 + 94*a/9 + 16/9 = 0.
-1/3, 8
Find r, given that 9*r**5 + 87*r**4 + 51*r**3 - 999*r**2 - 648*r + 324 = 0.
-6, -1, 1/3, 3
Suppose 14*s**5 - 115*s**4 + 260*s**3 - 175*s**2 - 4*s + 20 = 0. Calculate s.
-2/7, 1/2, 1, 2, 5
Let 21*w**5/4 + 27*w**4/4 - 30*w**3 - 30*w**2 + 36*w + 12 = 0. Calculate w.
-2, -2/7, 1, 2
Suppose -37*x**3 - 741*x**2 - 3720*x - 100 = 0. Calculate x.
-10, -1/37
Let 2*s**5 - 4*s**4 + 2*s**3 = 0. Calculate s.
0, 1
Suppose -l**3 - 7*l**2 - 16*l - 12 = 0. Calculate l.
-3, -2
Solve -y**4/2 + y**3/2 + 7*y**2/2 - y/2 - 3 = 0.
-2, -1, 1, 3
Let -15*g**5 + 6*g**4 + 195*g**3 - 258*g**2 + 72*g = 0. Calculate g.
-4, 0, 2/5, 1, 3
Factor 2*v**3/3 + 19*v**2/2 - 19*v - 16/3.
(v - 2)*(v + 16)*(4*v + 1)/6
Factor v**2/2 + 12*v + 63/2.
(v + 3)*(v + 21)/2
Factor -b**2/2 + 181*b/2 - 267.
-(b - 178)*(b - 3)/2
Factor -16*y**3 + 116*y**2 - 204*y.
-4*y*(y - 3)*(4*y - 17)
What is l in l**4/6 + 5*l**3/3 + 11*l**2/2 + 20*l/3 + 8/3 = 0?
-4, -1
What is y in -2*y**5/15 + 2*y**4/15 + 2*y**3/15 - 2*y**2/15 = 0?
-1, 0, 1
Solve 3*o**3 + 243*o**2 - 495*o + 249 = 0 for o.
-83, 1
Factor -l**5 - 89*l**4 - 592*l**3 - 1496*l**2 - 1648*l - 656.
-(l + 1)*(l + 2)**3*(l + 82)
Let 2*w**5 + 504*w**4/5 + 66*w**3 - 152948*w**2/5 + 175032*w + 374544/5 = 0. What is w?
-34, -2/5, 9
Solve p**5 + 8*p**4 - 118*p**3 - 152*p**2 + 621*p - 360 = 0 for p.
-15, -3, 1, 8
Factor -k**4/4 + 59*k**3/2 - 3709*k**2/4 + 3363*k - 3249.
-(k - 57)**2*(k - 2)**2/4
Determine d, given that -3*d**4 + 120*d**3 - 1200*d**2 = 0.
0, 20
Factor 5*q**3/2 + 134*q**2/3 - 6*q.
q*(q + 18)*(15*q - 2)/6
Let 2*p**3/11 + 190*p**2/11 + 372*p/11 = 0. What is p?
-93, -2, 0
Determine c, given that -c**3 + 30*c**2 - 99*c - 130 = 0.
-1, 5, 26
Solve -b**3 + 301*b**2 - 22800*b + 22500 = 0.
1, 150
Factor 3*v**4 + 141*v**3 + 2160*v**2 + 9984*v - 12288.
3*(v - 1)*(v + 16)**3
Factor 4*u**4 - 52*u**3 + 232*u**2 - 432*u + 288.
4*(u - 6)*(u - 3)*(u - 2)**2
Suppose -j**3 - 101*j**2 - 296*j - 196 = 0. Calculate j.
-98, -2, -1
Let 20*p**2 - 16625*p + 4155 = 0. Calculate p.
1/4, 831
Let -79*c**4/3 + 2605*c**3/3 - 9537*c**2 + 104423*c/3 + 2662/3 = 0. Calculate c.
-2/79, 11
Factor a**4/5 + 9*a**3/5 - 2*a**2.
a**2*(a - 1)*(a + 10)/5
Find d, given that -3*d**3 - 18*d**2 - 15*d = 0.
-5, -1, 0
Suppose i**2 - 16*i + 28 = 0. Calculate i.
2, 14
Suppose -5*f**5 + 10*f**4 + 115*f**3 - 140*f**2 - 380*f + 400 = 0. Calculate f.
-4, -2, 1, 2, 5
Factor q**4/2 + 9*q**3/2 + 15*q**2 + 22*q + 12.
(q + 2)**3*(q + 3)/2
Suppose -3*x**5/7 + 57*x**4/7 + 3*x**3 - 417*x**2/7 + 342*x/7 = 0. What is x?
-3, 0, 1, 2, 19
Factor -r**4 - 16*r**3 + 19*r**2 + 34*r.
-r*(r - 2)*(r + 1)*(r + 17)
Find r such that 2*r**2/9 + 9932*r/9 + 12330578/9 = 0.
-2483
Find r, given that 2*r**5/7 + 104*r**4/7 - 1704*r**3/7 + 1312*r**2 - 20864*r/7 + 16896/7 = 0.
-66, 2, 4
Factor -2*h**3/7 + 30*h**2/7 - 94*h/7 - 18.
-2*(h - 9)*(h - 7)*(h + 1)/7
Solve -v**3/4 - v**2 + v + 4 = 0 for v.
-4, -2, 2
Factor -9*x**3 - 3*x**2.
-3*x**2*(3*x + 1)
Find i such that -2*i**4/5 - 10*i**3 - 132*i**2/5 = 0.
-22, -3, 0
Factor 3489*p**2 - 10464*p - 9.
3*(p - 3)*(1163*p + 1)
What is a in 5*a**5 + 50*a**4 + 40*a**3 - 50*a**2 - 45*a = 0?
-9, -1, 0, 1
Factor -3*a**3 + 78*a**2 - 375*a - 456.
-3*(a - 19)*(a - 8)*(a + 1)
Find t, given that -t**2/5 - 3*t/5 + 4/5 = 0.
-4, 1
Let c**5 - c**4 - 30*c**3 - 74*c**2 - 67*c - 21 = 0. What is c?
-3, -1, 7
What is s in -48*s**2 - 1396*s - 1