 - 122*t/7 - 36.
2*(t - 63)*(t + 2)/7
Suppose 44*k**3 - 692*k**2 - 192*k = 0. Calculate k.
-3/11, 0, 16
Factor 3*o**4 + 37920*o**3 + 119789274*o**2 - 239692320*o + 119865123.
3*(o - 1)**2*(o + 6321)**2
Factor 2*z**4 - 76*z**3 + 522*z**2 - 1296*z + 1080.
2*(z - 30)*(z - 3)**2*(z - 2)
Solve 3*m**4/5 - 1527*m**3/5 + 195072*m**2/5 - 193548*m/5 = 0 for m.
0, 1, 254
Factor -r**4 + 3*r**3 + 5*r**2 - 3*r - 4.
-(r - 4)*(r - 1)*(r + 1)**2
Factor -2*b**3/9 - 2696*b**2/9 - 908552*b/9.
-2*b*(b + 674)**2/9
Factor -y**5/2 + y**4/2 + 3*y**3 + y**2 - 5*y/2 - 3/2.
-(y - 3)*(y - 1)*(y + 1)**3/2
Let 2552*o**3/5 + 2554*o**2/5 - 5102*o/5 - 4/5 = 0. Calculate o.
-2, -1/1276, 1
Factor -2*u**3 - 266*u**2 - 7840*u + 68600.
-2*(u - 7)*(u + 70)**2
Factor -r**2 + 54*r.
-r*(r - 54)
Factor 2*p**4 + 40*p**3 - 438*p**2 + 380*p + 2800.
2*(p - 5)**2*(p + 2)*(p + 28)
Determine j so that 25*j**4/2 + 230*j**3 - 795*j**2/2 + 55*j + 100 = 0.
-20, -2/5, 1
Determine a, given that -2*a**3/3 + 46*a**2 - 960*a + 5400 = 0.
9, 30
Suppose -k**4 + 6*k**3 + 3*k**2 - 20*k + 12 = 0. What is k?
-2, 1, 6
Let -2*n**3 - 14*n**2 - 22*n - 10 = 0. What is n?
-5, -1
Factor 2*t**4/15 + 8*t**3/15 + 2*t**2/15 - 4*t/5.
2*t*(t - 1)*(t + 2)*(t + 3)/15
Factor 2*k**3 - 266*k**2 - 1088*k - 1096.
2*(k - 137)*(k + 2)**2
Factor 2*x**3 - 8*x**2 - 10*x.
2*x*(x - 5)*(x + 1)
Let 2*a**3 - 6*a**2 - 20*a = 0. What is a?
-2, 0, 5
Factor l**3/6 + 1511*l**2/2 + 2283121*l/2 + 3449795831/6.
(l + 1511)**3/6
Determine y, given that 12*y**3/7 + 6*y**2 - 24*y + 72/7 = 0.
-6, 1/2, 2
Find s such that 2*s**4 + 3*s**3/4 - 8*s**2 - 3*s = 0.
-2, -3/8, 0, 2
Find u, given that 14*u**2 - 60*u + 16 = 0.
2/7, 4
Suppose 2*j**3/9 + 640*j**2/9 + 17888*j/3 + 43264 = 0. What is j?
-156, -8
Factor a**3/2 - 7*a**2 + 25*a/2 - 6.
(a - 12)*(a - 1)**2/2
Determine o so that -o**3/3 - 80*o**2/3 + 1267*o/3 - 4606/3 = 0.
-94, 7
Suppose 4*v**4/3 - 22*v**3/3 - 26*v**2/3 + 66*v - 30 = 0. What is v?
-3, 1/2, 3, 5
Factor t**2/2 - 877*t/2 - 879.
(t - 879)*(t + 2)/2
Suppose i**2/2 + 15*i/2 + 18 = 0. Calculate i.
-12, -3
Factor 2*i**3 + 212*i**2 + 1898*i - 2112.
2*(i - 1)*(i + 11)*(i + 96)
Suppose -2*g**2/15 - 2308*g/15 - 665858/15 = 0. Calculate g.
-577
What is h in 9*h**5 + 57*h**4/2 - 801*h**3/2 + 1323*h**2/2 + 243*h/2 = 0?
-9, -1/6, 0, 3
Solve 3*z**3 - 87*z**2 + 165*z - 81 = 0.
1, 27
Solve -w**2 - 52*w + 165 = 0 for w.
-55, 3
Factor -w**3/9 + 28*w**2/9 - 52*w/9.
-w*(w - 26)*(w - 2)/9
Factor -3*j**3 + 192*j**2 - 375*j + 186.
-3*(j - 62)*(j - 1)**2
What is z in 3*z**4/5 - 27*z**3/5 + 24*z**2/5 = 0?
0, 1, 8
Factor 4*w**3/7 + 5032*w**2/7 + 20080*w/7 + 20064/7.
4*(w + 2)**2*(w + 1254)/7
Let 1014*c**2 - 104*c + 8/3 = 0. Calculate c.
2/39
Solve -2*l**3/7 + 516*l**2/7 + 1038*l/7 + 520/7 = 0 for l.
-1, 260
Suppose 3*b**3/7 - 3*b**2 + 24*b/7 + 48/7 = 0. Calculate b.
-1, 4
Let -5*p**5 + 20*p**4 - 20*p**3 - 10*p**2 + 25*p - 10 = 0. Calculate p.
-1, 1, 2
Factor 3*o**3/2 + 9*o**2 - 60*o.
3*o*(o - 4)*(o + 10)/2
Factor -3*c**5 + 30*c**4 - 63*c**3 - 204*c**2 + 816*c - 576.
-3*(c - 4)**3*(c - 1)*(c + 3)
Factor 35*z**3 - 715*z**2 + 1470*z + 1080.
5*(z - 18)*(z - 3)*(7*z + 4)
Factor -a**4/6 - 11*a**3/3 - 77*a**2/6 - 46*a/3 - 6.
-(a + 1)**2*(a + 2)*(a + 18)/6
Factor 2*g**2 - 3440*g - 3442.
2*(g - 1721)*(g + 1)
Suppose 10*n**3/9 + 6*n**2 + 14*n/9 - 10/3 = 0. What is n?
-5, -1, 3/5
Factor -r**3/4 + 17*r**2/4 - 15*r/2.
-r*(r - 15)*(r - 2)/4
Factor 2*i**2/7 - 506*i/7 - 1536/7.
2*(i - 256)*(i + 3)/7
Factor -12*m**2 + 1041*m.
-3*m*(4*m - 347)
Determine h so that 81*h**5/11 - 414*h**4/11 + 295*h**3/11 + 1354*h**2/11 - 2492*h/11 + 1176/11 = 0.
-2, 1, 14/9, 3
Solve n**5/3 + 2*n**4/3 - n**3 - 8*n**2/3 - 4*n/3 = 0 for n.
-2, -1, 0, 2
Factor -3*o**3/2 + 3*o**2/2 + 24*o - 24.
-3*(o - 4)*(o - 1)*(o + 4)/2
Factor 10*c**3 - 765*c**2 - 390*c + 385.
5*(c - 77)*(c + 1)*(2*c - 1)
Suppose -2*z**3 - 112*z**2 - 1450*z + 3364 = 0. What is z?
-29, 2
Suppose h**3/6 - 21*h**2 + 1323*h/2 = 0. What is h?
0, 63
What is g in -g**2 - 748*g - 139876 = 0?
-374
Let -4*r**2 - 152*r + 156 = 0. What is r?
-39, 1
Factor -588350*m**2 - 3280*m - 32/7.
-2*(1435*m + 4)**2/7
Find i, given that -4*i**4 + 76*i**3 - 256*i**2 + 240*i = 0.
0, 2, 15
Find u, given that -2*u**5/9 + 2*u**4/9 + 4*u**3/3 + 4*u**2/9 - 10*u/9 - 2/3 = 0.
-1, 1, 3
What is g in -5*g**3 - 450*g**2 - 10125*g = 0?
-45, 0
Find q, given that -2*q**2 - 644*q - 51842 = 0.
-161
Factor -8*d**2 + 70*d + 18.
-2*(d - 9)*(4*d + 1)
Let -55*f**3 + 45*f**2 + 10*f = 0. What is f?
-2/11, 0, 1
Factor -a**4 + 224*a**3 - 1103*a**2 + 1756*a - 876.
-(a - 219)*(a - 2)**2*(a - 1)
Determine h so that -30*h**3/7 + 51*h**2/7 - 9*h/7 = 0.
0, 1/5, 3/2
Let -3*v**4 - 27*v**3 - 72*v**2 - 48*v = 0. What is v?
-4, -1, 0
Factor 2*t**4 - 14*t**3 + 12*t**2 + 64*t - 64.
2*(t - 4)**2*(t - 1)*(t + 2)
Factor 4*z**2 - 8*z + 4.
4*(z - 1)**2
Factor p**5/3 + 16*p**4/3 - 76*p**3/3 + 80*p**2/3.
p**2*(p - 2)**2*(p + 20)/3
Factor -5*n**4 + 30*n**3 + 120*n**2 + 130*n + 45.
-5*(n - 9)*(n + 1)**3
Determine j so that -147*j**4/2 - 4830*j**3 + 6309*j**2 - 1506*j + 201/2 = 0.
-67, 1/7, 1
Solve 4*s**3 + 56*s**2 - 364*s + 304 = 0 for s.
-19, 1, 4
Factor f**4/9 + 133*f**3/9 - f**2/9 - 133*f/9.
f*(f - 1)*(f + 1)*(f + 133)/9
Factor -2*v**4 - 4*v**3 + 30*v**2.
-2*v**2*(v - 3)*(v + 5)
Factor u**2 - 67*u - 210.
(u - 70)*(u + 3)
Factor -5*p**2 + 1020*p.
-5*p*(p - 204)
Let 3*w**5/2 + 8*w**4 + 10*w**3 - 5*w**2 - 23*w/2 - 3 = 0. Calculate w.
-3, -2, -1, -1/3, 1
Factor -3*q**3 - 849*q**2 - 59640*q + 60492.
-3*(q - 1)*(q + 142)**2
Determine u, given that u**4/7 - 13*u**3 + 522*u**2/7 - 1028*u/7 + 680/7 = 0.
2, 85
Factor t**2/2 - 11*t/2 + 15.
(t - 6)*(t - 5)/2
Suppose -2*z**2 + 50*z - 48 = 0. Calculate z.
1, 24
Solve -12*i**4 - 176*i**3 - 496*i**2 + 1280*i + 1024 = 0 for i.
-8, -2/3, 2
Solve 2*i**3/3 + 34*i**2 + 578*i + 9826/3 = 0 for i.
-17
Let 4*g**5 + 32*g**4 - 1956*g**3 + 13520*g**2 - 11600*g = 0. Calculate g.
-29, 0, 1, 10
What is k in -3*k**3 - 34*k**2 + 63*k - 26 = 0?
-13, 2/3, 1
Factor 2*t**3 - 408*t**2 + 1198*t + 1608.
2*(t - 201)*(t - 4)*(t + 1)
What is b in -3*b**2/5 - 814*b/5 - 271/5 = 0?
-271, -1/3
Factor -2*v**2/15 + 42*v/5 - 124/15.
-2*(v - 62)*(v - 1)/15
Factor -19*x**3/9 - 853*x**2/9 - 1544*x/9 + 172/9.
-(x + 2)*(x + 43)*(19*x - 2)/9
Factor 2*d**4/13 + 20*d**3/13 + 58*d**2/13 + 40*d/13.
2*d*(d + 1)*(d + 4)*(d + 5)/13
Let 4*k**5 + 64*k**4 - 396*k**3 - 1576*k**2 - 1120*k = 0. Calculate k.
-20, -2, -1, 0, 7
Find a such that -a**5 + 57*a**4/5 - 62*a**3/5 - 84*a**2/5 + 8*a = 0.
-1, 0, 2/5, 2, 10
Solve 2*v**2 - 98*v = 0.
0, 49
Factor 2*r**4/3 + 32*r**3/3 + 28*r**2 - 784*r/3 - 3430/3.
2*(r - 5)*(r + 7)**3/3
Factor 5*i**2 - 900*i - 3680.
5*(i - 184)*(i + 4)
Factor -5*t**3 - 60*t**2 - 100*t.
-5*t*(t + 2)*(t + 10)
Factor -w**4 + 11*w**3 - 36*w**2 + 16*w + 64.
-(w - 4)**3*(w + 1)
Find s such that -2*s**4/13 + 2*s**3/13 + 30*s**2/13 + 46*s/13 + 20/13 = 0.
-2, -1, 5
Factor 2*b**5 - 9*b**4 + 16*b**3 - 14*b**2 + 6*b - 1.
(b - 1)**4*(2*b - 1)
Solve -5*u**4 + 1690*u**3 - 10020*u**2 + 19960*u - 13280 = 0 for u.
2, 332
Find q such that -4*q**2 + 200*q + 3900 = 0.
-15, 65
What is h in -2*h**2/9 - 2*h/9 + 4/9 = 0?
-2, 1
Factor j**3/3 - 32*j**2/3 + 61*j/3 - 10.
(j - 30)*(j - 1)**2/3
Factor -2*n**4 - 112*n**3 - 1450*n**2 + 3364*n.
-2*n*(n - 2)*(n + 29)**2
Determine g, given that 2*g**2/3 + 848*g + 269664 = 0.
-636
Solve 3*w**2/7 - 5*w + 22/7 = 0 for w.
2/3, 11
Suppose -o**4 + 51*o**3 - 397*o**2/4 + 123*o/2 - 49/4 = 0. What is o?
1/2, 1, 49
What is h in -h**3 - 3306*h**2 - 3643212*h - 1338273208 = 0?
-1102
Solve -26*q**4 - 160*q**3 + 366*q**2 + 2660*q + 400 = 0 for q.
-5, -2/13, 4
Find l, given that l**2/4 - 9*l/4 + 5 = 0.
4, 5
Factor -2*u**5/5 - 12*u**4/5 + 22*u**3/5 + 24*u**2 - 40*u.
-2*u*(u - 2)**2*(u + 5)**2/5
Factor 6*q**2 - 70*q + 44.
2*(q - 11)*(3*q - 2)
Factor 2*f**2/11 + 58*f/11 - 124/11.
2*(f - 2)*(f + 31)/11
Suppose -n**3/3 - 499*n**2/3 - 62000*n/3 + 62500/3 = 0. Calculate n.
-250, 1
Solve c**3/6 - 27*c**2/2 + 40*c/3 = 0 for c.
0, 1, 80
Factor -2*y**4 + 1360*y**3 - 228464*y**2 - 930240*y - 935712.
-2*(y - 342)**2*(y + 2)**2
Factor -3*u**4 + 123*u**3 - 117*u**2 - 123*u + 120.
-3*(u - 40)*(u - 1)**2*(u + 1)
Factor -4*n**2 - 612*n + 616.
-4*(n - 1)*(n + 154)
Factor 20*m**3 + 88*m**2 + 112*m + 32.
4*(m + 2)**2*(5*m + 2)