*2 + 62*p - 120 = 0.
-1, 1, 2, 60
Factor 3*h**4/4 - 3*h**3 - 63*h**2/4 - 3*h + 21.
3*(h - 7)*(h - 1)*(h + 2)**2/4
Factor -12*b**3 - 308*b**2 + 448*b + 432.
-4*(b - 2)*(b + 27)*(3*b + 2)
What is j in -5*j**3 + 25*j**2 + 30*j = 0?
-1, 0, 6
Find d, given that -4*d**3 - 244*d**2 - 4060*d - 10092 = 0.
-29, -3
Solve -28*p**5 + 104*p**4 + 340*p**3 + 256*p**2 + 48*p = 0.
-1, -2/7, 0, 6
Factor -2*s**2/5 + 162*s/5 + 332/5.
-2*(s - 83)*(s + 2)/5
Factor 2*l**4 + 28*l**3 + 72*l**2 + 68*l + 22.
2*(l + 1)**3*(l + 11)
What is u in 2*u**2 + 124*u - 126 = 0?
-63, 1
Factor 2*w**4/9 + 70*w**3/9 + 286*w**2/3 + 4114*w/9 + 5324/9.
2*(w + 2)*(w + 11)**3/9
Factor 1234*z**3 + 1238*z**2 + 4*z.
2*z*(z + 1)*(617*z + 2)
Factor 38*m**2/3 - 340*m/3 - 6.
2*(m - 9)*(19*m + 1)/3
Suppose -4*o**5/5 - 12*o**4/5 - 12*o**3/5 - 4*o**2/5 = 0. What is o?
-1, 0
Suppose k**2/4 + 163*k/2 - 164 = 0. What is k?
-328, 2
Find g such that -4*g**2 - 124*g - 520 = 0.
-26, -5
Determine c, given that 12*c**2 - 520*c - 352 = 0.
-2/3, 44
Let f**3 - 26*f**2 + 169*f = 0. What is f?
0, 13
Factor 2*j**5/3 + 4*j**4 - 192*j**3 + 2816*j**2/3.
2*j**2*(j - 8)**2*(j + 22)/3
Factor 4*k**2/5 + 5832*k/5 + 2125764/5.
4*(k + 729)**2/5
Factor t**4 + 145*t**3 + 5469*t**2 + 15407*t + 10082.
(t + 1)*(t + 2)*(t + 71)**2
Factor f**2 + 177*f/4 + 11.
(f + 44)*(4*f + 1)/4
Suppose -o**2 + 64*o + 201 = 0. Calculate o.
-3, 67
Determine y so that -y**3 + 13*y**2 + 114*y = 0.
-6, 0, 19
Factor -f**4/6 + 47*f**3/6 - 133*f**2 + 2842*f/3 - 6860/3.
-(f - 14)**3*(f - 5)/6
Factor j**3/3 - 2*j**2/3 - j.
j*(j - 3)*(j + 1)/3
Factor 2*j**4/7 + 4*j**3/7 + 2*j**2/7.
2*j**2*(j + 1)**2/7
Solve -8*j**4 - 20*j**3 + 16*j**2 + 12*j = 0 for j.
-3, -1/2, 0, 1
Solve -12*z**5 - 213*z**4/5 + 402*z**3/5 + 213*z**2/5 - 342*z/5 = 0.
-19/4, -1, 0, 1, 6/5
Factor 2*m**3/3 - 4*m**2 + 10*m/3.
2*m*(m - 5)*(m - 1)/3
Find l such that l**3/5 - 58*l**2/5 + 1116*l/5 - 7128/5 = 0.
18, 22
Determine i, given that -21*i**2 + 9*i/2 + 3 = 0.
-2/7, 1/2
Factor z**5 - 2045*z**4 + 1395369*z**3 - 318603807*z**2 + 631642482*z.
z*(z - 681)**3*(z - 2)
Factor -3*n**2/7 + 18*n + 129/7.
-3*(n - 43)*(n + 1)/7
Determine p so that -p**5/5 + 13*p**3/5 + 16*p**2/5 - 12*p/5 - 16/5 = 0.
-2, -1, 1, 4
Solve -5*l**5 - 815*l**4 - 33615*l**3 - 32805*l**2 = 0 for l.
-81, -1, 0
Find v, given that 2*v**2/19 - 14*v/19 = 0.
0, 7
Factor -i**2 - 12*i - 32.
-(i + 4)*(i + 8)
Factor -t**5/2 + 33*t**4/2 + 117*t**3.
-t**3*(t - 39)*(t + 6)/2
Factor 2*i**3 - 22*i**2 + 70*i - 50.
2*(i - 5)**2*(i - 1)
Factor x**2/4 + 17*x - 69/4.
(x - 1)*(x + 69)/4
Factor 50*i**2 - 112*i + 24.
2*(i - 2)*(25*i - 6)
Let -2*z**2/13 + 16*z/13 - 32/13 = 0. Calculate z.
4
Factor -m**4/12 + m**3 - 5*m**2/3.
-m**2*(m - 10)*(m - 2)/12
Suppose z**3/2 - 5*z**2 + 8*z = 0. What is z?
0, 2, 8
Factor 15*g**2 + 82*g + 104.
(g + 2)*(15*g + 52)
Factor -4*d**2 - 68*d + 152.
-4*(d - 2)*(d + 19)
Factor -4015*i**3 - 16070*i**2 - 16100*i - 40.
-5*(i + 2)**2*(803*i + 2)
Factor -2*i**4/15 - 16*i**3/15 + 48*i**2 - 1728*i/5 + 3744/5.
-2*(i - 6)**3*(i + 26)/15
Factor 4*v**4 - 128*v**3 + 356*v**2 - 232*v.
4*v*(v - 29)*(v - 2)*(v - 1)
Factor 4*k**2 - 1424*k - 10164.
4*(k - 363)*(k + 7)
Find r such that 3*r**3 + 405*r**2 - 1659*r + 1251 = 0.
-139, 1, 3
Factor 5043*a**3/8 + 123*a**2/2 + 3*a/2.
3*a*(41*a + 2)**2/8
Factor 2*t**4 - 92*t**3 + 1058*t**2.
2*t**2*(t - 23)**2
Factor -d**5 - 509*d**4 + 3594*d**3 - 9268*d**2 + 10312*d - 4128.
-(d - 2)**3*(d - 1)*(d + 516)
Factor -4*r**3 + 160*r**2 - 452*r + 296.
-4*(r - 37)*(r - 2)*(r - 1)
Factor -5*o**4 + 25*o**3 - 40*o**2 + 20*o.
-5*o*(o - 2)**2*(o - 1)
Factor -27*n**3 - 165*n**2 + 488*n/3 - 112/3.
-(n + 7)*(9*n - 4)**2/3
Factor 2*c**5/7 + 28*c**4 + 6128*c**3/7 + 51680*c**2/7 - 286688*c/7 + 314432/7.
2*(c - 2)**2*(c + 34)**3/7
Factor -46*b**3 + 418*b**2 + 2356*b - 208.
-2*(b - 13)*(b + 4)*(23*b - 2)
Find j, given that -5*j**5 + 60*j**4 + 55*j**3 - 2190*j**2 + 4000*j - 1920 = 0.
-6, 1, 8
Factor -3*b**3 + 69*b**2 - 390*b.
-3*b*(b - 13)*(b - 10)
Let 5*t**2 - 7440*t + 2767680 = 0. What is t?
744
Suppose 5*q**2 - 400*q = 0. What is q?
0, 80
What is y in 5*y**5/7 - 32*y**4/7 - 48*y**3/7 + 214*y**2/7 - 181*y/7 + 6 = 0?
-3, 2/5, 1, 7
Suppose 2*k**5/7 + 4*k**4/7 - 44*k**3/7 + 32*k**2/7 + 6*k - 36/7 = 0. Calculate k.
-6, -1, 1, 3
Factor -3*t**2/5 + 18*t/5 + 21/5.
-3*(t - 7)*(t + 1)/5
Factor -20*r**4 - 128*r**3 + 272*r**2 + 128*r.
-4*r*(r - 2)*(r + 8)*(5*r + 2)
Let 2*s**3 - 1008*s**2 - 2*s + 1008 = 0. What is s?
-1, 1, 504
Factor -l**4/6 + 5*l**3/3 - 17*l**2/6 + 4*l/3.
-l*(l - 8)*(l - 1)**2/6
Determine z, given that z**2/3 - 4*z - 13/3 = 0.
-1, 13
Factor w**4 + w**3 - 48*w**2 - 172*w - 160.
(w - 8)*(w + 2)**2*(w + 5)
Factor -10*d**3/7 + 2*d**2 + 116*d/7 - 48/7.
-2*(d - 4)*(d + 3)*(5*d - 2)/7
Factor 3*g**3 + 10737*g**2 + 21465*g + 10731.
3*(g + 1)**2*(g + 3577)
Suppose -3*l**3/5 + 321*l**2/5 - 633*l/5 + 63 = 0. Calculate l.
1, 105
Determine t, given that -5*t**4 - 65*t**3 - 255*t**2 - 315*t = 0.
-7, -3, 0
Factor -3*y**4/2 - 30*y**3 - 150*y**2.
-3*y**2*(y + 10)**2/2
Suppose 4*k**5 - 48*k**4 + 152*k**3 - 208*k**2 + 132*k - 32 = 0. Calculate k.
1, 8
Find w, given that 3*w**4/4 - 6*w**3 + 45*w**2/4 + 3*w - 15 = 0.
-1, 2, 5
Factor -2*g**5/7 + 192*g**4/7 - 4208*g**3/7 - 19200*g**2/7 - 20000*g/7.
-2*g*(g - 50)**2*(g + 2)**2/7
Determine x, given that 26*x**3/15 + 82*x**2/15 - 248*x/15 - 8/3 = 0.
-5, -2/13, 2
Factor -5*n**3 + 25*n**2 + 70*n.
-5*n*(n - 7)*(n + 2)
Factor y**2/4 - 495*y/4.
y*(y - 495)/4
Determine p so that 4*p**4 - 20*p**3 + 36*p**2 - 28*p + 8 = 0.
1, 2
Factor -2*b**2/13 - 38*b/13 - 68/13.
-2*(b + 2)*(b + 17)/13
Factor -2*t**2/3 - 164*t/3.
-2*t*(t + 82)/3
Solve -4*i**3 + 480*i**2 - 476*i = 0.
0, 1, 119
Solve w**4 + 8*w**3 + 17*w**2 + 10*w = 0 for w.
-5, -2, -1, 0
Solve 4*f**3 + 160*f**2 + 676*f - 840 = 0.
-35, -6, 1
What is z in -210*z**5 + 669*z**4 - 594*z**3 + 204*z**2 - 24*z = 0?
0, 2/7, 2/5, 1/2, 2
Let u**4/4 + 3*u**3/4 - 9*u**2/4 + 5*u/4 = 0. Calculate u.
-5, 0, 1
Factor -10*w**5 - 35*w**4 - 45*w**3 - 25*w**2 - 5*w.
-5*w*(w + 1)**3*(2*w + 1)
Factor 2*r**4 - 238*r**3 + 9594*r**2 - 136890*r + 237276.
2*(r - 39)**3*(r - 2)
Solve 2*t**2/7 + 8*t/7 - 64/7 = 0.
-8, 4
Let -4*v**5 - 32*v**4 - 88*v**3 - 112*v**2 - 68*v - 16 = 0. Calculate v.
-4, -1
Factor 3160*b**2 + 4*b.
4*b*(790*b + 1)
Factor -330*h**3 - 1321*h**2 - 1324*h - 4.
-(h + 2)**2*(330*h + 1)
Suppose 12*t**3 + 304*t**2 + 1820*t - 1352 = 0. Calculate t.
-13, 2/3
Factor -2*b**3 + 10*b**2 + 34*b - 42.
-2*(b - 7)*(b - 1)*(b + 3)
Suppose -3*v**5/5 - 9*v**4/5 + 3*v**3 + 9*v**2/5 - 12*v/5 = 0. Calculate v.
-4, -1, 0, 1
Let 4*m**4/7 - 60*m**3/7 + 128*m**2/7 + 192*m/7 = 0. What is m?
-1, 0, 4, 12
Find m, given that 1350*m**5 + 5370*m**4 - 8819*m**3/6 - 16108*m**2/3 + 719*m/6 - 2/3 = 0.
-4, -1, 1/90, 1
Factor 4*a**5 - 20*a**4 - 88*a**3 + 224*a**2.
4*a**2*(a - 7)*(a - 2)*(a + 4)
Factor -2*m**2 - 456*m + 2330.
-2*(m - 5)*(m + 233)
Factor -3*f**2 - 189*f - 366.
-3*(f + 2)*(f + 61)
Solve 16*b**5/3 - 36*b**4 - 76*b**3/3 + 292*b**2/3 + 100*b + 56/3 = 0 for b.
-1, -1/4, 2, 7
Determine x, given that -4*x**4 + 76*x**3 + 4*x**2 - 76*x = 0.
-1, 0, 1, 19
Factor u**4 - 40*u**3 - 217*u**2 - 356*u - 180.
(u - 45)*(u + 1)*(u + 2)**2
Solve 12*f**4 - 736*f**3 + 11332*f**2 - 14064*f + 3456 = 0 for f.
1/3, 1, 24, 36
Factor -14*u**3 - 486*u**2 - 3136*u + 936.
-2*(u + 9)*(u + 26)*(7*u - 2)
Let 2*t**2/9 - 1552*t/9 + 1550/9 = 0. What is t?
1, 775
Find p, given that -2*p**5/3 + 20*p**4/3 - 34*p**3/3 - 176*p**2/3 + 160*p = 0.
-3, 0, 4, 5
Factor f**2 + 376*f + 748.
(f + 2)*(f + 374)
Solve 2*z**5/11 + 208*z**4/11 + 5810*z**3/11 + 21004*z**2/11 + 25400*z/11 + 10000/11 = 0 for z.
-50, -2, -1
Factor -13*x**3/3 + 49*x**2/6 - 10*x/3 - 1/2.
-(x - 1)**2*(26*x + 3)/6
Solve -2*t**3/5 + 578*t**2/5 - 230*t + 574/5 = 0 for t.
1, 287
Solve -x**5/5 - 2*x**4 + 12*x**3/5 + 2*x**2 - 11*x/5 = 0.
-11, -1, 0, 1
Suppose -10*j**4 + 45*j**3 - 15*j**2 - 20*j = 0. Calculate j.
-1/2, 0, 1, 4
Find p, given that -2*p**3 + 72*p**2 - 648*p = 0.
0, 18
Factor i**2/4 + 121*i/2 - 243/4.
(i - 1)*(i + 243)/4
Factor -3*n**3/4 + 15*n**2/2 - 51*n/4 + 6.
-3*(n - 8)*(n - 1)**2/4
Solve -5*u**3 - 80*u**2 - 240*u = 0 for u.
-12, -4, 0
Suppose -14*y**2/5 + 5758*y/5 - 1644/5 = 0. Calculate y.
2/7, 411
Factor 5*o**3/3 - 59*o**2/3 - 4*o.
o*(o - 