 t such that 45*t**5 + 80*t**4 - 515*t**3 - 430*t**2 + 1740*t - 360 = 0.
-3, 2/9, 2
Find c, given that -2*c**4 + 308*c**3 - 912*c**2 + 908*c - 302 = 0.
1, 151
Solve -m**5/4 + 7*m**4/8 - 3*m**3/4 - m**2/8 + m/4 = 0 for m.
-1/2, 0, 1, 2
Factor a**4/4 + 227*a**3/4 + 3303*a**2 + 9184*a - 12544.
(a - 1)*(a + 4)*(a + 112)**2/4
Solve -2*q**3/3 + 34*q**2/3 - 160*q/3 + 128/3 = 0 for q.
1, 8
Solve -d**5 + 17*d**4 - 79*d**3 + 47*d**2 + 80*d - 64 = 0 for d.
-1, 1, 8
Let 2*y**4/11 + 48*y**3/11 + 290*y**2/11 + 564*y/11 + 320/11 = 0. Calculate y.
-16, -5, -2, -1
Find k, given that 5*k**5/2 + 295*k**4/2 - 615*k**3 + 935*k**2 - 1255*k/2 + 315/2 = 0.
-63, 1
Factor -5*z**3 - 20*z**2 - 20*z.
-5*z*(z + 2)**2
Factor 4*g**4 - 40*g**3 + 96*g**2 + 40*g - 100.
4*(g - 5)**2*(g - 1)*(g + 1)
Factor 3*b**3/2 + 103*b**2/2 - 35*b.
b*(b + 35)*(3*b - 2)/2
Solve -2*m**5 + 24*m**4 - 8*m**3 - 384*m**2 - 512*m = 0.
-2, 0, 8
Factor -10*d**2 + 2*d + 8.
-2*(d - 1)*(5*d + 4)
Determine f, given that -4*f**3 - 480*f**2 = 0.
-120, 0
Factor -l**4/6 - 17*l**3/6 - 13*l**2 - 16*l/3 + 64/3.
-(l - 1)*(l + 2)*(l + 8)**2/6
What is z in 4*z**3/7 + 103*z**2/7 + 650*z/7 - 169/7 = 0?
-13, 1/4
Factor -4*b**2/3 - 326*b/3 + 164/3.
-2*(b + 82)*(2*b - 1)/3
Factor a**5/4 + 11*a**4/4 + 37*a**3/4 + 45*a**2/4 + 9*a/2.
a*(a + 1)**2*(a + 3)*(a + 6)/4
Factor -2*u**2 - 40*u.
-2*u*(u + 20)
Determine n, given that -35*n**4 + 325*n**3 - 930*n**2 + 800*n - 160 = 0.
2/7, 1, 4
Factor 2*c**2/7 - 20*c/7.
2*c*(c - 10)/7
Factor -w**4 - 2*w**3 + 21*w**2 - 18*w.
-w*(w - 3)*(w - 1)*(w + 6)
Suppose -z**4 - 3*z**3 - 2*z**2 = 0. Calculate z.
-2, -1, 0
Factor -r**2/5 - 728*r/5 + 729/5.
-(r - 1)*(r + 729)/5
Suppose q**2 - 13*q + 30 = 0. What is q?
3, 10
Let 3*d**4 - 42*d**3 - 45*d**2 = 0. Calculate d.
-1, 0, 15
Factor i**2 + 254*i + 16129.
(i + 127)**2
Solve -5*x**4 - 50*x**3 + 275*x**2 - 100*x - 420 = 0 for x.
-14, -1, 2, 3
Determine a so that 2*a**5/3 + 2*a**4/3 - 100*a**3/3 - 100*a**2/3 + 98*a/3 + 98/3 = 0.
-7, -1, 1, 7
Factor -11*x**2/2 + 104*x + 19/2.
-(x - 19)*(11*x + 1)/2
Solve 7*g**4 - 303*g**3 + 660*g**2 - 164*g = 0.
0, 2/7, 2, 41
Factor 3*b**3/4 + 15*b**2/4 + 3*b/2 - 6.
3*(b - 1)*(b + 2)*(b + 4)/4
Suppose -2*z**3/19 - 146*z**2/19 + 452*z/19 - 16 = 0. Calculate z.
-76, 1, 2
Factor -o**5 + 65*o**4 + 67*o**3 - 65*o**2 - 66*o.
-o*(o - 66)*(o - 1)*(o + 1)**2
Suppose -6*h**2/11 - 230*h/11 - 76/11 = 0. Calculate h.
-38, -1/3
Let -w**4/8 - 47*w**3/8 + 459*w**2/8 + 1055*w/8 + 275/4 = 0. What is w?
-55, -1, 10
Factor -50*i**3/3 - 1040*i**2/3 - 808*i/3 - 160/3.
-2*(i + 20)*(5*i + 2)**2/3
Determine d so that d**4 - 12*d**3 + 35*d**2 + 12*d - 36 = 0.
-1, 1, 6
Determine n so that 2*n**3/7 - 1242*n**2/7 + 257094*n/7 - 17739486/7 = 0.
207
Factor 3*q**2/2 + 114*q + 2166.
3*(q + 38)**2/2
Factor 2*l**3/3 + 28*l**2 + 502*l/3 + 140.
2*(l + 1)*(l + 6)*(l + 35)/3
Determine z so that -10*z**4 + 134*z**3 - 532*z**2 + 552*z - 144 = 0.
2/5, 1, 6
Find k such that -2*k**2/15 + 2018*k/15 - 672/5 = 0.
1, 1008
Let -y**2/2 - 7*y/2 + 9 = 0. What is y?
-9, 2
Determine p, given that p**5/4 + 3*p**4/4 - 277*p**3/4 - 2459*p**2/4 - 1020*p - 475 = 0.
-10, -1, 19
Factor -3*g**3/4 - 969*g**2/4 - 78729*g/4 - 77763/4.
-3*(g + 1)*(g + 161)**2/4
Factor -4*s**2/9 + 8*s/9 - 4/9.
-4*(s - 1)**2/9
Factor -2*z**4 - 10*z**3 + 222*z**2 - 406*z + 196.
-2*(z - 7)*(z - 1)**2*(z + 14)
Factor 5*b**4 + 85*b**3.
5*b**3*(b + 17)
Factor 2*y**2/17 + 1384*y/17.
2*y*(y + 692)/17
Find u such that -u**5/4 + 7*u**4/4 - 9*u**3/2 + 5*u**2 - 2*u = 0.
0, 1, 2
Factor -4*d**2 - 72*d + 700.
-4*(d - 7)*(d + 25)
Factor -2*f**3/17 - 6*f**2/17 + 2*f/17 + 6/17.
-2*(f - 1)*(f + 1)*(f + 3)/17
Solve -4*i**4/5 - 44*i**3/5 + 64*i**2/5 + 176*i/5 - 192/5 = 0.
-12, -2, 1, 2
What is d in 15*d**3 + 606*d**2 - 375*d - 246 = 0?
-41, -2/5, 1
Find u such that 4*u**3 - 48*u**2 + 68*u + 120 = 0.
-1, 3, 10
Factor -y**5 - 42*y**4 + 179*y**3 - 228*y**2 + 92*y.
-y*(y - 2)*(y - 1)**2*(y + 46)
Solve 4*d**4/5 - 8*d**3 + 4*d**2 + 32*d - 144/5 = 0 for d.
-2, 1, 2, 9
Factor -4*j**2 - 76*j.
-4*j*(j + 19)
Factor -3*n**3 - 1254*n**2 - 1245*n + 2502.
-3*(n - 1)*(n + 2)*(n + 417)
Solve -5*h**3 - 90*h**2 - 405*h = 0 for h.
-9, 0
Let -3*l**5/5 - 6*l**4/5 + 3*l**3/5 + 6*l**2/5 = 0. What is l?
-2, -1, 0, 1
Find a such that a**4 + 2*a**3 - 3*a**2 - 8*a - 4 = 0.
-2, -1, 2
Factor -u**2/7 + 8340*u/7 - 17388900/7.
-(u - 4170)**2/7
Factor -4*u**2 - 932*u - 3664.
-4*(u + 4)*(u + 229)
Factor -2*j**4 + 6*j**3 - 4*j**2.
-2*j**2*(j - 2)*(j - 1)
Factor 5*p**4 - 40*p**3 + 105*p**2 - 110*p + 40.
5*(p - 4)*(p - 2)*(p - 1)**2
Suppose -3*k**5 + 147*k**4 - 1029*k**3 - 18579*k**2 - 57768*k - 40368 = 0. Calculate k.
-4, -1, 29
Let -5*i**4 - 20*i**3 + 205*i**2 - 180*i = 0. What is i?
-9, 0, 1, 4
Suppose z**5/3 + 26*z**4/3 + 191*z**3/3 + 262*z**2/3 - 64*z - 96 = 0. What is z?
-12, -2, -1, 1
Determine s, given that -10*s**4/13 - 138*s**3/13 - 8*s**2 = 0.
-13, -4/5, 0
Find o such that o**3 + 141*o**2 - 576*o + 580 = 0.
-145, 2
Find d, given that -d**2/4 - 7*d/8 + 1/2 = 0.
-4, 1/2
Factor -g**3/2 - 7*g**2/4 + 79*g/2 - 77/4.
-(g - 7)*(g + 11)*(2*g - 1)/4
Factor i**2 - 1922*i + 923521.
(i - 961)**2
Let -u**3/4 + 17*u**2/2 + 109*u/4 + 37/2 = 0. Calculate u.
-2, -1, 37
Find y such that y**3/6 - 41*y**2/6 - y/6 + 41/6 = 0.
-1, 1, 41
What is g in 5*g**4 - 45*g**3 - 50*g**2 = 0?
-1, 0, 10
Factor 2*p**4 + 114*p**3 + 220*p**2.
2*p**2*(p + 2)*(p + 55)
Suppose -2*n**3/9 - 70*n**2/9 - 64*n + 72 = 0. What is n?
-18, 1
Factor -12*s**4 + 21*s**3 + 42*s**2 + 9*s.
-3*s*(s - 3)*(s + 1)*(4*s + 1)
Determine q so that -5*q**4 - 65*q**3 - 195*q**2 - 135*q = 0.
-9, -3, -1, 0
Factor 20*j**2 - 215*j + 195.
5*(j - 1)*(4*j - 39)
Let -2*z**3 + 41*z**2 - 176*z - 363 = 0. What is z?
-3/2, 11
Factor 196*l**2 + 448*l + 256.
4*(7*l + 8)**2
Factor -p**3/2 + 978*p**2 - 637656*p + 138583904.
-(p - 652)**3/2
Factor 4*r**3 - 29*r**2 - 169*r + 44.
(r - 11)*(r + 4)*(4*r - 1)
Factor 2*p**2/3 - 8*p + 70/3.
2*(p - 7)*(p - 5)/3
Factor -5*z**4 + 110*z**3 - 840*z**2 + 2720*z - 3200.
-5*(z - 10)*(z - 4)**3
Suppose -p**3/7 + 27*p**2/7 + 264*p/7 + 80 = 0. What is p?
-4, 35
Let -4*g**2/5 + 12*g/5 + 16/5 = 0. Calculate g.
-1, 4
Solve -o**2 + 55*o = 0 for o.
0, 55
Let 4*u**4 - 928*u**3 - 1888*u**2 + 3712*u + 7488 = 0. Calculate u.
-2, 2, 234
Solve 4*g**4 - 28*g**3 + 68*g**2 - 68*g + 24 = 0.
1, 2, 3
Suppose 4*w**5 + 148*w**4 - 328*w**3 - 616*w**2 + 324*w + 468 = 0. Calculate w.
-39, -1, 1, 3
Determine x so that 4*x**3 + 4*x**2 - 260*x + 252 = 0.
-9, 1, 7
Solve -4*j**2 - 492*j = 0.
-123, 0
Factor 3*u**2 + 228*u + 4332.
3*(u + 38)**2
Solve -2*f**2 - 820*f = 0 for f.
-410, 0
Suppose -4*u**3/5 + 32*u**2 - 576*u/5 = 0. What is u?
0, 4, 36
Factor -2028*t**3 + 780*t**2 - 75*t.
-3*t*(26*t - 5)**2
Factor -3*r**2/7 - 561*r/7 + 564/7.
-3*(r - 1)*(r + 188)/7
Factor -4*u**4 - 356*u**3 - 1348*u**2 + 1092*u + 6120.
-4*(u - 2)*(u + 3)**2*(u + 85)
Find y such that -4*y**3 - 156*y**2 + 4336*y - 4176 = 0.
-58, 1, 18
Factor 21*m**2/4 - 555*m/4 - 81.
3*(m - 27)*(7*m + 4)/4
Factor -2*a**3 + 252*a**2 + 510*a + 256.
-2*(a - 128)*(a + 1)**2
What is f in 4*f**4 - 308*f**3 - 628*f**2 - 316*f = 0?
-1, 0, 79
Find p such that -7*p**5 - 54*p**4 + 16*p**3 = 0.
-8, 0, 2/7
Find p, given that -2*p**4/9 + 10*p**3/9 + 16*p**2/9 - 8*p/3 = 0.
-2, 0, 1, 6
Factor -b**3 + 27*b**2 + 57*b + 29.
-(b - 29)*(b + 1)**2
Factor 2*r**4/5 + 11*r**3/5 - 7*r**2/5 - 6*r/5.
r*(r - 1)*(r + 6)*(2*r + 1)/5
Suppose -3*q**3 + 744*q**2 - 741*q = 0. Calculate q.
0, 1, 247
Solve -4*x**3 + 4*x**2 + 8*x = 0.
-1, 0, 2
Factor v**2/2 + 1059*v/2.
v*(v + 1059)/2
Solve 236*c**2 + 6*c = 0 for c.
-3/118, 0
Solve -g**3/2 - 12*g**2 = 0 for g.
-24, 0
Factor -p**2/8 + 249*p/4 - 62001/8.
-(p - 249)**2/8
Solve t**5/4 - 17*t**4/2 - 27*t**3 - 55*t**2/2 - 37*t/4 = 0 for t.
-1, 0, 37
Factor q**2/3 + 17*q - 54.
(q - 3)*(q + 54)/3
Factor 10*b**4/3 - 7565*b**3/3 + 636300*b**2 - 53660880*b + 26671680.
5*(b - 252)**3*(2*b - 1)/3
Factor 2*i**2 - 380*i - 382.
2*(i - 191)*(i + 1)
Find f, given that -f**4/5 - 4*f**3/5 + 21*f**2/5 - 4*f/5 - 28/5 = 0.
-7, -1, 2
Determine h so that -4*h**4/7 + 2*h**3/7 + 16*h**2/7 - 8*h/7 = 0.
-2, 0, 1/2, 2
Let 2*w**2/9 - 1852*w/3 + 428738 = 0. Calculate w.
1389
Solve -4*n**4/9 + 4*n**3 - 8*n**2/3 - 224*n/9 = 0.
-2, 0, 4, 7
What is r in 2*r**2/3 + 14*r - 44/3 = 0?
-2