*(w + 1)*(w + 2)
Factor 4*a**3 - 136*a**2 - 284*a - 144.
4*(a - 36)*(a + 1)**2
Factor a**5 - 6*a**4 - 90*a**3 + 212*a**2 + 2745*a + 4050.
(a - 9)**2*(a + 2)*(a + 5)**2
Find t, given that 31*t**3/4 + 16*t**2 - 89*t/4 - 3/2 = 0.
-3, -2/31, 1
Suppose u**3/4 + 29*u**2/4 + 7*u = 0. Calculate u.
-28, -1, 0
Factor -3*d**5/5 - 48*d**4/5 - 234*d**3/5 - 336*d**2/5 - 147*d/5.
-3*d*(d + 1)**2*(d + 7)**2/5
Suppose -j**4/4 + 3*j**2/4 - j/2 = 0. What is j?
-2, 0, 1
Find q, given that 3*q**5 + 51*q**4 - 246*q**3 + 138*q**2 + 243*q - 189 = 0.
-21, -1, 1, 3
Factor -2*p**2/7 + 152*p/7 - 2600/7.
-2*(p - 50)*(p - 26)/7
Suppose 2523*j**4 - 11484*j**3 + 15852*j**2 - 6336*j + 768 = 0. Calculate j.
8/29, 2
Factor 4*b**3 + 5168*b**2 + 1664084*b - 3348872.
4*(b - 2)*(b + 647)**2
Determine j so that 3*j**2 - 2502*j + 4992 = 0.
2, 832
Suppose -g**3/2 + 37*g**2 + 151*g/2 + 38 = 0. What is g?
-1, 76
Factor 2*j**4 + 42*j**3 + 246*j**2 + 310*j - 600.
2*(j - 1)*(j + 5)**2*(j + 12)
Factor 2*z**2 + 110*z - 112.
2*(z - 1)*(z + 56)
Factor -6*w**3 - 46*w**2 + 20*w + 32.
-2*(w - 1)*(w + 8)*(3*w + 2)
Find v such that 16*v**5/7 + 300*v**4/7 + 1172*v**3/7 - 2552*v**2/7 - 2640*v/7 + 800/7 = 0.
-10, -1, 1/4, 2
Suppose -15*u**4/4 + 89*u**3/4 - 159*u**2/4 + 79*u/4 + 3/2 = 0. Calculate u.
-1/15, 1, 2, 3
Determine y, given that -y**5/4 - y**4 - y**3/2 + y**2 + 3*y/4 = 0.
-3, -1, 0, 1
Let 3*h**5/5 - 432*h**4/5 - 2676*h**3/5 - 3618*h**2/5 + 2673*h/5 + 810 = 0. What is h?
-3, -1, 1, 150
Factor d**2 + 10300*d + 26522500.
(d + 5150)**2
Solve -2*m**3/5 - 98*m**2/15 - 56*m/15 + 184/5 = 0 for m.
-46/3, -3, 2
Factor -k**3/6 - 13*k**2/2 - 18*k.
-k*(k + 3)*(k + 36)/6
Factor 8*a**2 - 620*a - 312.
4*(a - 78)*(2*a + 1)
Find z, given that z**2/11 - 974*z/11 + 237169/11 = 0.
487
Factor 27*p**4 + 117*p**3 + 75*p**2 - 93*p + 18.
3*(p + 2)*(p + 3)*(3*p - 1)**2
Let -f**3/5 - 72*f**2/5 - 1296*f/5 = 0. What is f?
-36, 0
Factor 2916*g**4 - 833544*g**3 + 59505748*g**2 + 8829392*g + 327184.
4*(g - 143)**2*(27*g + 2)**2
Solve -3*g**4 - 18*g**3 - 21*g**2 + 18*g + 24 = 0 for g.
-4, -2, -1, 1
Determine x, given that -x**2 - 6*x + 7 = 0.
-7, 1
Factor c**2/4 + 73*c/2.
c*(c + 146)/4
Factor -3*z**4 - 57*z**3 - 360*z**2 - 852*z - 672.
-3*(z + 2)**2*(z + 7)*(z + 8)
Factor -i**3/5 - 23*i**2 + 596*i/5 - 96.
-(i - 4)*(i - 1)*(i + 120)/5
What is v in v**4/3 - 145*v**3/3 + 5183*v**2/3 + 5329*v/3 = 0?
-1, 0, 73
Factor 2*v**3/3 - 3314*v**2/3 + 458160*v - 457056.
2*(v - 828)**2*(v - 1)/3
Suppose -q**3 + 34*q**2 - 33*q = 0. What is q?
0, 1, 33
Factor s**2 - s.
s*(s - 1)
Factor -14*t**2 + 74*t - 20.
-2*(t - 5)*(7*t - 2)
Factor -z**4 + 11*z**3 - 15*z**2 - 27*z.
-z*(z - 9)*(z - 3)*(z + 1)
What is w in -2*w**5 - 30*w**4 - 124*w**3 - 68*w**2 + 126*w + 98 = 0?
-7, -1, 1
Suppose -6*w**2 - 394*w + 1236 = 0. What is w?
-206/3, 3
Factor -d**3/4 - 9*d**2/8 - 5*d/4 - 3/8.
-(d + 1)*(d + 3)*(2*d + 1)/8
Factor 12*d**2 + 63*d - 54.
3*(d + 6)*(4*d - 3)
Solve -2*p**4/3 + 20*p**3/3 - 16*p**2 - 64*p/3 + 256/3 = 0 for p.
-2, 4
Factor -2*g**3 + 276*g**2 + 1128*g + 1136.
-2*(g - 142)*(g + 2)**2
Factor -p**5 + 46*p**4 - 612*p**3 + 1890*p**2 - 1323*p.
-p*(p - 21)**2*(p - 3)*(p - 1)
Find t such that 3*t**5 + 27*t**4 + 78*t**3 + 54*t**2 - 81*t - 81 = 0.
-3, -1, 1
Solve 2*s**5/11 + 14*s**4/11 + 36*s**3/11 + 40*s**2/11 + 16*s/11 = 0.
-2, -1, 0
Factor c**4/4 + 17*c**3/4 + 99*c**2/4 + 243*c/4 + 54.
(c + 3)**3*(c + 8)/4
Let 4*p**4/7 - 10*p**3/7 - 960*p**2/7 - 470*p/7 + 68 = 0. What is p?
-14, -1, 1/2, 17
Factor 4*y**2/9 + 844*y/9.
4*y*(y + 211)/9
Solve 4*r**5/9 + 7*r**4 - 20*r**3/9 - 293*r**2/3 + 1420*r/9 - 100/3 = 0.
-15, -5, 1/4, 2
What is w in -2*w**5/9 + 2*w**4/9 + 14*w**3/9 - 26*w**2/9 + 4*w/3 = 0?
-3, 0, 1, 2
Find w, given that -3*w**5 - 39*w**4 + 402*w**3 - 360*w**2 = 0.
-20, 0, 1, 6
Find o such that -o**2/6 + 61*o/2 + 374/3 = 0.
-4, 187
Suppose 5*x**3 + 40*x**2 + 100*x + 80 = 0. Calculate x.
-4, -2
Determine j so that -j**2/5 + 77*j/5 = 0.
0, 77
Factor k**2/2 - 2.
(k - 2)*(k + 2)/2
Factor -2*w**2/13 - 1286*w/13 - 1284/13.
-2*(w + 1)*(w + 642)/13
Factor 8*x**3/5 - 3*x**2/2 - x/10.
x*(x - 1)*(16*x + 1)/10
Factor -2*m**2/9 - 16*m/3 - 256/9.
-2*(m + 8)*(m + 16)/9
Solve -2*j**4/9 + 14*j**3/9 + 38*j**2/9 - 14*j/9 - 4 = 0 for j.
-2, -1, 1, 9
Find k, given that -3*k**3 - 3*k**2 + 6*k = 0.
-2, 0, 1
Factor -3*f**4 + 21*f**3 + 3*f**2 - 21*f.
-3*f*(f - 7)*(f - 1)*(f + 1)
Determine c, given that -68*c**4/11 + 46*c**3/11 + 164*c**2/11 + 38*c/11 - 12/11 = 0.
-1, -1/2, 3/17, 2
Solve -c**2 + 182*c + 183 = 0 for c.
-1, 183
Suppose -5*j**2 - 13145*j + 13150 = 0. What is j?
-2630, 1
Find y, given that 5*y**4 + 14*y**3/3 - 31*y**2/3 + 2*y/3 = 0.
-2, 0, 1/15, 1
Factor -j**4 + 41*j**2 + 72*j - 112.
-(j - 7)*(j - 1)*(j + 4)**2
Find t such that -9*t**2/5 - 303*t/5 + 102/5 = 0.
-34, 1/3
Determine n so that 4*n**4/5 + 359*n**3/5 + 618*n**2/5 + 35*n - 88/5 = 0.
-88, -1, 1/4
Factor 2*o**4 - 154*o**3 + 1500*o**2 - 3096*o - 4752.
2*(o - 66)*(o - 6)**2*(o + 1)
Let -2*x**2/15 - 22*x/15 - 16/5 = 0. What is x?
-8, -3
Solve 2*f**2/17 + 50*f/17 + 48/17 = 0 for f.
-24, -1
Let -2*s**4/3 + 10*s**3/3 - 2*s**2 - 10*s/3 + 8/3 = 0. What is s?
-1, 1, 4
Factor g**2 - 86*g + 328.
(g - 82)*(g - 4)
Find g, given that -g**4 - 88*g**3 + 1065*g**2 - 2412*g - 3564 = 0.
-99, -1, 6
What is s in -2*s**5/11 + 12*s**4/11 - 26*s**3/11 + 24*s**2/11 - 8*s/11 = 0?
0, 1, 2
Factor -6*p**3/7 - 32*p**2/7 - 30*p/7 + 36/7.
-2*(p + 3)**2*(3*p - 2)/7
Factor 8*b**3 + 12*b**2 - 36*b.
4*b*(b + 3)*(2*b - 3)
Find h, given that h**2/7 + 2029*h/7 + 4054/7 = 0.
-2027, -2
Factor y**2/4 + 555*y/4 + 553/2.
(y + 2)*(y + 553)/4
Factor 2*t**5/19 - 46*t**4/19 + 126*t**3/19 - 122*t**2/19 + 40*t/19.
2*t*(t - 20)*(t - 1)**3/19
Find t, given that -5*t**5 - 10*t**4 + 10*t**3 + 20*t**2 - 5*t - 10 = 0.
-2, -1, 1
Let -2*v**2/3 - 20*v/3 - 14 = 0. Calculate v.
-7, -3
Factor -28*l**3 - 580*l**2 - 896*l + 304.
-4*(l + 2)*(l + 19)*(7*l - 2)
What is m in -39*m**3/4 - 57*m**2 + 9*m = 0?
-6, 0, 2/13
Determine y, given that 49*y**4/5 + 1708*y**3/5 + 4573*y**2/5 + 2994*y/5 + 576/5 = 0.
-32, -2, -3/7
Factor 2*m**4 - 12*m**3 + 10*m**2.
2*m**2*(m - 5)*(m - 1)
Find g, given that -2*g**3 - 10*g**2 + 34*g + 42 = 0.
-7, -1, 3
Factor 22*r**5 - 80*r**4.
2*r**4*(11*r - 40)
Suppose -2*y**5 - 2*y**4 + 8*y**3 + 8*y**2 = 0. What is y?
-2, -1, 0, 2
Find x, given that 4*x**4/3 - 20*x**3/3 - 704*x**2/3 = 0.
-11, 0, 16
Factor 198*h**2 + 202*h + 4.
2*(h + 1)*(99*h + 2)
Factor -18*o**3 - 539*o**2/5 - 804*o/5 + 9/5.
-(o + 3)**2*(90*o - 1)/5
Determine x, given that -2*x**4/11 - 14*x**3/11 + 240*x**2/11 - 736*x/11 + 512/11 = 0.
-16, 1, 4
Factor -4*k**3 + 112*k**2 - 400*k + 384.
-4*(k - 24)*(k - 2)**2
Factor k**3/4 - 73*k**2/4 - 149*k/4 - 75/4.
(k - 75)*(k + 1)**2/4
Find j such that -5*j**3 + 190*j**2 + 605*j + 410 = 0.
-2, -1, 41
Factor 26*f**3/11 - 190*f**2/11 + 56*f/11.
2*f*(f - 7)*(13*f - 4)/11
Solve -5*v**3 + 35*v**2 + 140*v + 100 = 0 for v.
-2, -1, 10
Suppose -2*y**5 + 34*y**4 - 112*y**3 + 104*y**2 = 0. Calculate y.
0, 2, 13
Factor 2*v**2 - 1312*v + 215168.
2*(v - 328)**2
Solve 2*o**4/7 - 40*o**3/7 - 288*o**2/7 + 10368*o/7 - 55296/7 = 0.
-16, 12
Factor q**4/7 + 5*q**3/7 + 6*q**2/7 - 4*q/7 - 8/7.
(q - 1)*(q + 2)**3/7
Solve 46*o**2/5 + 42*o/5 - 4/5 = 0 for o.
-1, 2/23
Suppose 4*c**5/9 + 56*c**4/9 - 8*c**3/9 - 112*c**2/9 + 4*c/9 + 56/9 = 0. Calculate c.
-14, -1, 1
Factor -h**4 + 71*h**3 + 706*h**2 + 1120*h.
-h*(h - 80)*(h + 2)*(h + 7)
Factor -4*z**4/7 + 68*z**3/7 + 72*z**2/7.
-4*z**2*(z - 18)*(z + 1)/7
What is q in -q**3/4 + 350*q**2 + 1403*q/4 - 1401/2 = 0?
-2, 1, 1401
Suppose -d**3/3 + 8*d**2/3 - 13*d/3 + 2 = 0. What is d?
1, 6
Determine m, given that -m**3/4 + 14*m**2 = 0.
0, 56
Find z, given that -4*z**2 - 408*z + 412 = 0.
-103, 1
Factor -5*t**2 + 1615*t.
-5*t*(t - 323)
What is q in q**4 - 47*q**3 + 134*q**2 - 88*q = 0?
0, 1, 2, 44
Find q, given that -15*q**2/4 + 4851*q/4 - 969/2 = 0.
2/5, 323
Determine y so that -35*y**4 - 60*y**3 + 195*y**2 + 160*y - 60 = 0.
-3, -1, 2/7, 2
Solve 4*l**2 - 1024*l + 2032 = 0 for l.
2, 254
Suppose -h**5 - 26*h**4/3 + 3*h**3 = 0. What is h?
-9, 0, 1/3
Suppose 2*s**5 + 22*s**4 + 60*s**3 - 44*s**2 - 190*s + 150 = 0. Calculate s.
-5, -3, 1
Find g such that g**4 + 50*g**3 - g**2 - 50*g = 0.
-50, -1, 0, 1
Solve -u**3/2 + 81*u**2 = 0.
0, 162
Let 