t**2 + 210*t - 72.
-3*(t - 1)*(t + 4)*(13*t - 6)
Factor 4*a**4 - 168*a**3 - 528*a**2 - 536*a - 180.
4*(a - 45)*(a + 1)**3
Determine m so that 3*m**4 + 84*m**3 + 882*m**2 + 4116*m + 7203 = 0.
-7
Solve 4*b**5 - 128*b**4 + 948*b**3 + 1080*b**2 = 0.
-1, 0, 15, 18
Factor -v**3 + 132*v**2 - 4080*v - 18496.
-(v - 68)**2*(v + 4)
Find c, given that -5*c**4 + 1165*c**3 - 90090*c**2 + 2281500*c + 2372760 = 0.
-1, 78
Factor 2*u**4/7 - 478*u**3/7 + 38844*u**2/7 - 1131624*u/7 + 4745520/7.
2*(u - 78)**3*(u - 5)/7
Determine j so that 3*j**3 + 12*j**2 - 27*j - 108 = 0.
-4, -3, 3
Solve -g**3/2 - 61*g**2/2 = 0 for g.
-61, 0
Determine v, given that -51*v**5/8 - 805*v**4/8 - 763*v**3/2 + 321*v**2/2 + 296*v + 32 = 0.
-8, -2/3, -2/17, 1
Find y, given that -18*y**5 - 858*y**4 - 14592*y**3 - 283024*y**2/3 - 219488*y/9 + 4170272/3 = 0.
-38/3, 3
Determine f, given that f**3/4 - 3*f**2/4 - f = 0.
-1, 0, 4
Factor -2*a**4/5 - 2*a**3/5 + 2*a**2 - 6*a/5.
-2*a*(a - 1)**2*(a + 3)/5
Factor 5*v**5 + 60*v**4 + 225*v**3 + 290*v**2 + 120*v.
5*v*(v + 1)**2*(v + 4)*(v + 6)
What is c in 3*c**3/2 - 27*c**2 - 126*c - 132 = 0?
-2, 22
Let -4*i**5 + 232*i**4 - 3124*i**3 - 6960*i**2 - 3600*i = 0. Calculate i.
-1, 0, 30
Factor s**3/5 + 19*s**2/5 - 142*s/5 + 40.
(s - 4)*(s - 2)*(s + 25)/5
Find i such that -i**3/7 - 22*i**2/7 - 89*i/7 - 68/7 = 0.
-17, -4, -1
Factor -3*q**2 - 4167*q.
-3*q*(q + 1389)
Factor -u**5 - 2*u**4 + 4*u**3 + 8*u**2.
-u**2*(u - 2)*(u + 2)**2
Let -2*y**3 + 22*y**2 - 14*y - 294 = 0. What is y?
-3, 7
Find n, given that -n**2 - 121*n - 120 = 0.
-120, -1
Factor -b**4/9 + b**3/9 + 4*b**2/9 - 4*b/9.
-b*(b - 2)*(b - 1)*(b + 2)/9
Factor v**2/5 + 7*v/5 + 12/5.
(v + 3)*(v + 4)/5
Factor y**5/3 + 227*y**4/3 + 12538*y**3/3 - 38986*y**2/3 + 39445*y/3 - 13225/3.
(y - 1)**3*(y + 115)**2/3
Find p such that -p**2/3 - 170*p/3 + 344/3 = 0.
-172, 2
Factor -d**4 - d**3 + 14*d**2 + 24*d.
-d*(d - 4)*(d + 2)*(d + 3)
Factor 3645*b**2 - 5400*b + 2000.
5*(27*b - 20)**2
Factor -3*r**3/4 - 63*r**2/4 - 297*r/4 + 363/4.
-3*(r - 1)*(r + 11)**2/4
Factor -g**2/8 + 67*g/4 - 4489/8.
-(g - 67)**2/8
Factor 4*o**2 + 108*o - 232.
4*(o - 2)*(o + 29)
Factor 2*z**2/15 + 2*z/3 - 4/5.
2*(z - 1)*(z + 6)/15
Factor 5*k**4 - 5*k**3 - 15*k**2 + 25*k - 10.
5*(k - 1)**3*(k + 2)
Factor -h**3/3 + 20*h**2/3 + h/3 - 20/3.
-(h - 20)*(h - 1)*(h + 1)/3
Find v, given that -6*v**4 - 36*v**3 - 111*v**2/2 - 63*v/2 - 6 = 0.
-4, -1, -1/2
Factor 2*c**3/5 + 8*c**2/5 - 82*c/5 + 72/5.
2*(c - 4)*(c - 1)*(c + 9)/5
Factor -t**3/5 - 12*t**2/5 - 41*t/5 - 6.
-(t + 1)*(t + 5)*(t + 6)/5
Solve -4*p**4 + 4*p**3 + 12*p**2 - 4*p - 8 = 0 for p.
-1, 1, 2
Factor -3*o**3 + 1821*o**2 + 3*o - 1821.
-3*(o - 607)*(o - 1)*(o + 1)
Find z, given that 10*z**5/3 + 596*z**4/3 + 2920*z**3 - 1200*z**2 = 0.
-30, 0, 2/5
Suppose 10201*o**4 + 346430*o**3 + 2934357*o**2 - 116620*o + 1156 = 0. What is o?
-17, 2/101
Solve 2*u**2/3 - 1004*u/3 + 126002/3 = 0 for u.
251
Factor -u**3 - 95*u**2 - 2182*u - 2088.
-(u + 1)*(u + 36)*(u + 58)
Find w, given that w**2/2 + 271*w/10 + 27/5 = 0.
-54, -1/5
Solve 20*m**5 - 56*m**4 + 28*m**3 + 8*m**2 = 0 for m.
-1/5, 0, 1, 2
Let -w**4/2 + 26*w**3 - 386*w**2 + 1248*w - 1152 = 0. What is w?
2, 24
Factor n**2/4 + 4405*n/4.
n*(n + 4405)/4
Solve -2*w**4/7 - 146*w**3 = 0 for w.
-511, 0
Determine k so that 2*k**3/19 - 78*k**2/19 + 1014*k/19 - 4394/19 = 0.
13
Suppose 2*n**3 - 420*n**2 - 426*n + 844 = 0. What is n?
-2, 1, 211
Factor -3*y**3/8 - 3*y**2/4 + 15*y/8 + 9/4.
-3*(y - 2)*(y + 1)*(y + 3)/8
Factor -b**4 - 2*b**3 + 7*b**2 + 20*b + 12.
-(b - 3)*(b + 1)*(b + 2)**2
Solve 3*k**4 - 75*k**3 - 243*k**2 - 249*k - 84 = 0 for k.
-1, 28
Factor -5*x**2 + 1610*x - 129605.
-5*(x - 161)**2
What is q in -2*q**2/15 + 22*q/15 - 4 = 0?
5, 6
Let -2*x**2/7 + 1912*x/7 - 456968/7 = 0. Calculate x.
478
Factor 2*k**4 + 24*k**3 + 46*k**2 - 72*k.
2*k*(k - 1)*(k + 4)*(k + 9)
What is o in -28*o**3 - 232*o**2 - 400*o - 96 = 0?
-6, -2, -2/7
Factor 4*a**5/5 - 8*a**4.
4*a**4*(a - 10)/5
Factor 3*j**3/2 + 561*j**2/2 - 852*j + 570.
3*(j - 2)*(j - 1)*(j + 190)/2
Factor -7*o**3/3 - 215*o**2/3 - 344*o/3 + 116/3.
-(o + 2)*(o + 29)*(7*o - 2)/3
Factor -v**2/2 - 57*v/2 - 28.
-(v + 1)*(v + 56)/2
Factor 2*u**5/7 - 30*u**4/7 + 150*u**3/7 - 290*u**2/7 + 240*u/7 - 72/7.
2*(u - 6)**2*(u - 1)**3/7
What is l in -8*l**4 - 252*l**3 - 588*l**2 - 232*l = 0?
-29, -2, -1/2, 0
Factor -2*l**3/3 - 190*l**2/3 - 1472*l + 1536.
-2*(l - 1)*(l + 48)**2/3
Factor p**3 - 579*p**2 + 84099*p - 83521.
(p - 289)**2*(p - 1)
Factor -2*n**4/11 - 14*n**3/11 - 16*n**2/11 + 32*n/11.
-2*n*(n - 1)*(n + 4)**2/11
Suppose -3*r**5 - 27*r**4/2 + 117*r**3/2 + 75*r**2/2 - 63*r/2 = 0. What is r?
-7, -1, 0, 1/2, 3
Factor -q**3 - 7*q**2 + 9*q + 63.
-(q - 3)*(q + 3)*(q + 7)
Factor y**4/2 - 9*y**3/2 + 12*y**2 - 8*y.
y*(y - 4)**2*(y - 1)/2
Factor 2*b**5/9 + 8*b**4 + 68*b**3/3 + 200*b**2/9 + 22*b/3.
2*b*(b + 1)**3*(b + 33)/9
Solve -4*m**5/7 + 354*m**4/7 - 8588*m**3/7 + 33438*m**2/7 - 5112*m + 1512 = 0.
1/2, 1, 3, 42
Let -2*x**5 - 10*x**4 + 2*x**3 + 10*x**2 = 0. What is x?
-5, -1, 0, 1
Let -4*a**5/7 - 696*a**4/7 - 26496*a**3/7 + 338560*a**2/7 = 0. What is a?
-92, 0, 10
Factor 3*m**2 - 228*m - 468.
3*(m - 78)*(m + 2)
Factor g**4 - 150*g**3 - 3*g**2 + 448*g + 300.
(g - 150)*(g - 2)*(g + 1)**2
Suppose 5*g**5 - 30*g**4 - 885*g**3 - 850*g**2 = 0. What is g?
-10, -1, 0, 17
Factor -2*j**5/9 + 4*j**4/9 + 2*j**3/3 - 8*j**2/9 - 8*j/9.
-2*j*(j - 2)**2*(j + 1)**2/9
Determine c so that 4*c**4/9 - 5*c**3/9 - 5*c**2/3 + 20*c/9 - 4/9 = 0.
-2, 1/4, 1, 2
What is o in o**5/4 + o**4/4 - o**3/2 = 0?
-2, 0, 1
Factor -w**3/3 - 8*w**2/3 - w/3 + 14.
-(w - 2)*(w + 3)*(w + 7)/3
Let -c**4 + 28*c**3 - 180*c**2 = 0. What is c?
0, 10, 18
Factor -3*s**4 - 45*s**3 + 666*s**2 - 2028*s + 1800.
-3*(s - 6)*(s - 2)**2*(s + 25)
Solve 2*z**2 + 56*z - 58 = 0 for z.
-29, 1
Factor -q**3 + 62*q**2 - 979*q + 918.
-(q - 34)*(q - 27)*(q - 1)
Solve -g**5 + 4*g**4 - 2*g**3 - 4*g**2 + 3*g = 0 for g.
-1, 0, 1, 3
Find j such that -j**4/5 - 7*j**3 + 234*j**2/5 - 484*j/5 + 328/5 = 0.
-41, 2
Determine x so that -2*x**2/9 + 236*x/3 - 2800/9 = 0.
4, 350
Factor -2*z**3 + 226*z**2 - 5280*z.
-2*z*(z - 80)*(z - 33)
Determine a, given that -3*a**2/8 + 63*a/2 + 129/2 = 0.
-2, 86
Factor 3*h**2 + 6*h - 24.
3*(h - 2)*(h + 4)
Find c, given that 2*c**4/5 + 10*c**3 + 268*c**2/5 + 256*c/5 - 576/5 = 0.
-18, -4, 1
Factor g**4/4 - 5*g**3/2 + 17*g**2/4 - 2*g.
g*(g - 8)*(g - 1)**2/4
Factor -4*p**2 + 440*p.
-4*p*(p - 110)
Let 5*x**2 + 630*x = 0. Calculate x.
-126, 0
Factor -y**4 - 70*y**3/3 + 16*y**2.
-y**2*(y + 24)*(3*y - 2)/3
Suppose -3*f**2/5 - 12*f/5 = 0. Calculate f.
-4, 0
Factor 27*l**5 - 192*l**4 + 1528*l**3/3 - 1792*l**2/3 + 784*l/3.
l*(l - 2)**2*(9*l - 14)**2/3
Suppose 3*s**4 + 30*s**3 - 201*s**2 - 480*s - 252 = 0. Calculate s.
-14, -1, 6
Suppose 7*n**5/5 + 20*n**4 + 392*n**3/5 + 566*n**2/5 + 321*n/5 + 54/5 = 0. What is n?
-9, -3, -1, -2/7
Solve 2*o**3/15 - 74*o**2/15 - 32*o/15 + 1184/15 = 0 for o.
-4, 4, 37
Factor 2*m**3/5 - 128*m**2/5 + 2048*m/5.
2*m*(m - 32)**2/5
Let -n**5/4 + n**4/2 + 5*n**3/2 - 5*n**2 - 9*n/4 + 9/2 = 0. Calculate n.
-3, -1, 1, 2, 3
Suppose 5*l**3 + 50*l**2 = 0. Calculate l.
-10, 0
Factor z**2 - 7200*z + 12960000.
(z - 3600)**2
Let -l**2 + 75*l + 154 = 0. Calculate l.
-2, 77
Factor 45*p**4 + 195*p**3 + 200*p**2 + 60*p.
5*p*(p + 3)*(3*p + 2)**2
Find x, given that 15*x**3 - 110*x**2 + 255*x - 180 = 0.
4/3, 3
Factor -s**2 - 5416*s - 7333264.
-(s + 2708)**2
Factor 2*u**2 - 1488*u.
2*u*(u - 744)
Solve -4*z**4 + 48*z**3 + 140*z**2 - 408*z + 224 = 0.
-4, 1, 14
Factor 5*l**4 - 35*l**3 - 5*l**2 + 35*l.
5*l*(l - 7)*(l - 1)*(l + 1)
Determine l, given that 2*l**5 + 60*l**4 + 586*l**3 + 1968*l**2 + 1440*l = 0.
-12, -5, -1, 0
Factor -g**4/4 + g**3/2 + 3*g**2/4.
-g**2*(g - 3)*(g + 1)/4
Factor -24*v**2 - 513*v + 330.
-3*(v + 22)*(8*v - 5)
Find f, given that -f**3 + 37*f**2 - 323*f - 361 = 0.
-1, 19
Solve -96*l**4/17 + 64*l**3/17 + 118*l**2/17 - 64*l/17 - 22/17 = 0.
-1, -1/4, 11/12, 1
Determine y so that -2*y**5/9 + 10510*y**4/9 - 22092020*y**3/9 + 23218713020*y**2/9 - 12201433692010*y/9 + 2564741362060502/9 = 0.
1051
Factor -2*d**3/15 + 2232*d**2/5 - 2490912*d/5 + 926619264/5.
-2*(d - 1116)**3/15
Determine o so that 4*o**3 - 192*o**2 - 204*o + 392 = 0.
-2, 1, 49
Determine o, given that 8*o**3/3 