1)**2*(z + 3)**2/4
Factor -r**2 - 56*r - 55.
-(r + 1)*(r + 55)
Factor 2*j**4 - 12*j**3 + 22*j**2 - 12*j.
2*j*(j - 3)*(j - 2)*(j - 1)
Let -3*i**3 - 39*i**2 + 12*i + 156 = 0. Calculate i.
-13, -2, 2
Determine h so that -4*h**3/5 - 124*h**2 + 19712*h/5 - 143472/5 = 0.
-183, 14
Let l**3 - 81*l**2 - 336*l - 340 = 0. Calculate l.
-2, 85
Factor -5*l**4 + 85*l**3 - 510*l**2 + 1260*l - 1080.
-5*(l - 6)**2*(l - 3)*(l - 2)
Determine l, given that -2*l**5/3 + 198*l**4 - 14988*l**3 + 124372*l**2/3 + 128674*l + 72030 = 0.
-1, 5, 147
Factor 3*i**2 - 2592*i - 2595.
3*(i - 865)*(i + 1)
Determine k, given that 3*k**4/5 + 18*k**3/5 + 39*k**2/5 + 36*k/5 + 12/5 = 0.
-2, -1
Let -3*m**2/2 + 147*m/2 + 684 = 0. What is m?
-8, 57
Suppose -i**3/3 + 38*i**2/3 - 32*i - 1920 = 0. What is i?
-10, 24
Determine x, given that 3*x**2/5 - 78*x/5 - 261/5 = 0.
-3, 29
Determine q so that -2*q**2/19 + 1828*q/19 - 417698/19 = 0.
457
Find p, given that 2*p**5/9 + 68*p**4/9 - 1024*p**3/9 - 156*p**2 + 622*p - 360 = 0.
-45, -3, 1, 12
Determine m so that m**3/3 + m**2 - 13*m/3 - 5 = 0.
-5, -1, 3
What is u in -15*u**2/4 - 597*u/2 - 468 = 0?
-78, -8/5
Determine p so that -p**4 + 106*p**3 - 2913*p**2 + 5512*p - 2704 = 0.
1, 52
Find z, given that 2*z**3/5 - 4914*z**2/5 + 4024566*z/5 - 1098706518/5 = 0.
819
Factor y**4/6 - 53*y**3/3 + 450*y**2 + 972*y.
y*(y - 54)**2*(y + 2)/6
Factor -2*r**3/13 + 6*r**2/13 + 8*r/13 - 24/13.
-2*(r - 3)*(r - 2)*(r + 2)/13
Solve -15*p**5 + 110*p**4 + 25*p**3 - 440*p**2 + 140*p = 0 for p.
-2, 0, 1/3, 2, 7
Factor -p**3/10 + 21*p**2/10 + 77*p/5 + 108/5.
-(p - 27)*(p + 2)*(p + 4)/10
Factor 3*v**5/4 - 405*v**4/4 + 13869*v**3/4 - 13467*v**2/4.
3*v**2*(v - 67)**2*(v - 1)/4
Factor -x**2 + 123*x - 122.
-(x - 122)*(x - 1)
Determine z so that -5*z**5 - 95*z**4 - 150*z**3 + 350*z**2 + 155*z - 255 = 0.
-17, -3, -1, 1
Let 6*g**4/7 + 249*g**3/7 + 2463*g**2/7 - 1422*g/7 - 1296/7 = 0. Calculate g.
-24, -18, -1/2, 1
Factor c**5/5 - c**4/5 - 27*c**3/5 - 27*c**2/5 + 54*c/5.
c*(c - 6)*(c - 1)*(c + 3)**2/5
Factor -h**5/3 + 763*h**4/3 - 146683*h**3/3 + 435481*h**2/3 - 433960*h/3 + 144400/3.
-(h - 380)**2*(h - 1)**3/3
Suppose 256*t**4 + 496*t**3 - 127*t**2/4 + t/2 = 0. Calculate t.
-2, 0, 1/32
What is u in -2*u**5/13 - 530*u**4/13 + 2*u**3/13 + 530*u**2/13 = 0?
-265, -1, 0, 1
Determine x so that 5*x**3 + 200*x**2 - 1380*x = 0.
-46, 0, 6
Solve -4*g**4/3 + 20*g**3 - 152*g**2/3 + 32*g = 0.
0, 1, 2, 12
Determine s, given that -4*s**3 + 160*s**2 - 1524*s + 3240 = 0.
3, 10, 27
Factor 2*t**2 - 4*t + 2.
2*(t - 1)**2
Factor -3*z**3 - 42*z**2 - 21*z + 234.
-3*(z - 2)*(z + 3)*(z + 13)
What is n in 2*n**2/21 - 26*n/7 - 440/21 = 0?
-5, 44
Find t such that 13*t**2/4 + 3*t - 7 = 0.
-2, 14/13
Factor 2*h**4/7 - 66*h**3/7 - 20*h**2.
2*h**2*(h - 35)*(h + 2)/7
Solve -9*u**5 - 33*u**4 + 18*u**3 + 24*u**2 = 0.
-4, -2/3, 0, 1
Suppose 224*l**5/13 + 720*l**4/13 + 238*l**3/13 - 524*l**2/13 + 168*l/13 - 16/13 = 0. Calculate l.
-2, 1/4, 2/7
Determine m, given that -3*m**5 + 53*m**4 + 27*m**3 - 165*m**2 + 52*m + 36 = 0.
-2, -1/3, 1, 18
Factor -2*j**4 + 24*j**3 - 90*j**2 + 100*j.
-2*j*(j - 5)**2*(j - 2)
Solve 2*h**3/15 - 62*h/15 - 4 = 0.
-5, -1, 6
Suppose -4*x**5/9 + 116*x**4/9 - 896*x**3/9 + 784*x**2/9 = 0. Calculate x.
0, 1, 14
Factor 3*p**4/4 + 87*p**3/4 - 651*p**2/4 - 735*p/4.
3*p*(p - 7)*(p + 1)*(p + 35)/4
Let x**4/7 + 11*x**3/7 - 97*x**2/7 + 97*x/7 + 204/7 = 0. Calculate x.
-17, -1, 3, 4
Factor -2*g**2/13 + 336*g/13 - 1630/13.
-2*(g - 163)*(g - 5)/13
Suppose 2*c**3/13 - 32*c**2/13 + 142*c/13 - 112/13 = 0. Calculate c.
1, 7, 8
Solve w**5/2 - 8*w**4 + 30*w**3 + 32*w**2 - 128*w = 0 for w.
-2, 0, 2, 8
Factor 2*z**3 + 178*z**2 + 686*z + 510.
2*(z + 1)*(z + 3)*(z + 85)
Factor 4*o**2/3 + 12112*o/3 + 9168784/3.
4*(o + 1514)**2/3
Suppose 3*i**5 - 6*i**4 - 39*i**3 + 78*i**2 + 108*i - 216 = 0. What is i?
-3, -2, 2, 3
Factor 5*o**2 - 125*o - 750.
5*(o - 30)*(o + 5)
Factor -5*k**2 + 10*k + 15.
-5*(k - 3)*(k + 1)
What is l in l**5 + 12*l**4 + 44*l**3 + 38*l**2 - 45*l - 50 = 0?
-5, -2, -1, 1
Suppose -2*v**5/5 + 8*v**4/5 + 2*v**3 = 0. What is v?
-1, 0, 5
Let 6075*u**3/4 - 42795*u**2/2 + 1893*u - 42 = 0. Calculate u.
2/45, 14
Factor 3*j**3/5 - 27*j**2/5 + 33*j/5 + 63/5.
3*(j - 7)*(j - 3)*(j + 1)/5
Let -5*d**5 + 555*d**4 - 21060*d**3 + 291600*d**2 - 699840*d = 0. What is d?
0, 3, 36
Factor 2*t**3/5 - 12*t**2/5.
2*t**2*(t - 6)/5
Find g, given that -g**3/3 + 37*g**2/3 + 38*g/3 = 0.
-1, 0, 38
Determine d so that -4*d**4 - 428*d**3 - 1644*d**2 + 428*d + 1648 = 0.
-103, -4, -1, 1
Let 2*l**2/9 + 392*l/9 + 19208/9 = 0. What is l?
-98
Solve 5*y**4 - 25*y**3 - 305*y**2 - 275*y = 0 for y.
-5, -1, 0, 11
Factor -j**3 + 845*j**2 - 178928*j + 178084.
-(j - 422)**2*(j - 1)
Suppose -2*u**5/9 - 22*u**4/9 + 380*u**3/9 - 860*u**2/9 - 42*u + 98 = 0. What is u?
-21, -1, 1, 3, 7
Factor 2*o**5 + 20*o**4 + 16*o**3 - 20*o**2 - 18*o.
2*o*(o - 1)*(o + 1)**2*(o + 9)
Let -2*o**5 + 20*o**3 + 40*o**2 + 30*o + 8 = 0. Calculate o.
-1, 4
Suppose 42*l**2 - 62*l - 104 = 0. What is l?
-1, 52/21
Factor -l**2 + 10*l + 24.
-(l - 12)*(l + 2)
Factor -1125*s**3/2 + 6720*s**2 + 1798*s/5 + 24/5.
-(s - 12)*(75*s + 2)**2/10
What is q in -8*q**5 + 94*q**4 + 648*q**3 + 1084*q**2 + 640*q + 102 = 0?
-3, -1, -1/4, 17
Factor f**3/4 - 3*f**2/4 + f/2.
f*(f - 2)*(f - 1)/4
Suppose 2*a**4/5 + 20*a**3 + 96*a**2/5 - 20*a - 98/5 = 0. What is a?
-49, -1, 1
What is q in 1033899412*q**4 - 268213309*q**3 + 2465190*q**2 - 7676*q + 8 = 0?
2/637, 1/4
Determine k, given that -k**5 + 12437*k**4/5 - 10313589*k**3/5 + 2852737391*k**2/5 - 1139445578*k/5 = 0.
0, 2/5, 829
Factor 4*i**3 - 16*i**2 - 336*i - 576.
4*(i - 12)*(i + 2)*(i + 6)
Let -2*n**5 + 80*n**4 + 4*n**3 - 160*n**2 - 2*n + 80 = 0. Calculate n.
-1, 1, 40
Factor -4*w**2 + 460*w + 464.
-4*(w - 116)*(w + 1)
What is b in -4*b**5 - 48*b**4 + 236*b**3 - 312*b**2 + 128*b = 0?
-16, 0, 1, 2
Let 2*y**3/9 + 18*y**2 - 240*y + 744 = 0. What is y?
-93, 6
Factor h**4/7 + 3*h**3/7 - 4*h/7.
h*(h - 1)*(h + 2)**2/7
What is d in 2*d**3 - 90*d**2 - 104*d + 552 = 0?
-3, 2, 46
What is m in 4*m**2 + 180*m - 376 = 0?
-47, 2
Suppose -2*f**4/5 + 22*f**3/5 - 4*f**2 = 0. What is f?
0, 1, 10
Let 3*a**2/4 - 3*a/2 + 3/4 = 0. What is a?
1
Factor 3*h**4 + 297*h**3 + 7497*h**2 + 7203*h.
3*h*(h + 1)*(h + 49)**2
Let 5*z**2 - 2025*z + 2020 = 0. Calculate z.
1, 404
Determine s, given that 5*s**3 - 75*s**2 + 130*s = 0.
0, 2, 13
Find i such that 6*i**4/5 + 129*i**3/5 + 384*i**2/5 + 99*i/5 - 162/5 = 0.
-18, -3, -1, 1/2
Factor -3*g**2 - 3*g + 60.
-3*(g - 4)*(g + 5)
Let -2*p**3 + 190*p**2 + 784*p + 792 = 0. What is p?
-2, 99
Factor 4*f**2/5 + 92*f/5 - 40.
4*(f - 2)*(f + 25)/5
Factor -6*z**5/11 + 36*z**4/11 - 78*z**3/11 + 72*z**2/11 - 24*z/11.
-6*z*(z - 2)**2*(z - 1)**2/11
Factor -2*f**2 - 1438*f + 1440.
-2*(f - 1)*(f + 720)
Factor 4*m**2 + 160*m + 156.
4*(m + 1)*(m + 39)
Factor -3*w**4/5 - 48*w**3 - 3696*w**2/5 + 46464*w/5.
-3*w*(w - 8)*(w + 44)**2/5
Solve r**5/10 - 3*r**4 + 139*r**3/5 - 404*r**2/5 + 897*r/10 - 169/5 = 0 for r.
1, 2, 13
Factor 4*k**3 - 96*k**2 + 660*k - 1400.
4*(k - 14)*(k - 5)**2
Factor -3*w**5/7 + 81*w**4/7 + 354*w**3/7 + 78*w**2 + 369*w/7 + 93/7.
-3*(w - 31)*(w + 1)**4/7
What is u in 3*u**5/2 + 177*u**4/2 - 375*u**3/2 - 549*u**2/2 = 0?
-61, -1, 0, 3
Suppose z**2/3 - 58*z/3 - 61 = 0. Calculate z.
-3, 61
Factor -x**3/8 - 5223*x**2/8 - 6822543*x/8 - 6817321/8.
-(x + 1)*(x + 2611)**2/8
Factor -3*u**3/4 + 33*u**2/4 + 3*u/4 - 33/4.
-3*(u - 11)*(u - 1)*(u + 1)/4
Let y**2/5 + 47*y/5 + 46/5 = 0. What is y?
-46, -1
Suppose 3*o**4/5 + 39*o**3/5 + 12*o**2/5 - 324*o/5 - 432/5 = 0. What is o?
-12, -2, 3
Let 3*p**2 + 7731*p - 7734 = 0. What is p?
-2578, 1
Factor 5*r**3 - 70*r**2 - 555*r - 900.
5*(r - 20)*(r + 3)**2
Find b, given that 3*b**3 - 27*b**2/5 - 24*b/5 + 36/5 = 0.
-6/5, 1, 2
Factor 5*l**5 - 615*l**4 + 1215*l**3 - 605*l**2.
5*l**2*(l - 121)*(l - 1)**2
Factor r**5/5 + 4*r**4/5 + r**3 + 2*r**2/5.
r**2*(r + 1)**2*(r + 2)/5
Factor 4*t**2 - 20*t.
4*t*(t - 5)
Factor -6*z**3/7 + 162*z**2/7 - 444*z/7 + 288/7.
-6*(z - 24)*(z - 2)*(z - 1)/7
Solve c**3/4 + 15*c**2/2 - 1711*c/4 = 0 for c.
-59, 0, 29
Solve -2*i**3 + 12*i**2 + 50*i + 36 = 0.
-2, -1, 9
Factor t**4/6 - 9*t**3/2 - 20*t**2 - 62*t/3.
t*(t - 31)*(t + 2)**2/6
Suppose -4*p**5 + 16*p**4 + 52*p**3 - 16*p**2 - 48*p = 0. Cal