j**3 - 1024*j**2 - 1330*j + 1176 = 0. Calculate j.
-84, -1, 1, 7
Suppose 2*x**2/9 + 4092*x + 18837522 = 0. Calculate x.
-9207
Factor -432*f**4/5 + 5976*f**3/5 - 20163*f**2/5 - 3486*f/5 - 147/5.
-3*(f - 7)**2*(12*f + 1)**2/5
Factor t**4/5 - 20*t**3 + 500*t**2.
t**2*(t - 50)**2/5
Let 4*r**5 + 32*r**4 - 344*r**3 - 1184*r**2 - 1228*r - 416 = 0. Calculate r.
-13, -1, 8
Factor -3*w**4/7 + 162*w**3 - 109407*w**2/7 + 60588*w - 419628/7.
-3*(w - 187)**2*(w - 2)**2/7
Factor -b**2/6 - 4747*b/3 - 22534009/6.
-(b + 4747)**2/6
Let -3*p**5 + 6*p**4 + 84*p**3 - 150*p**2 - 225*p = 0. What is p?
-5, -1, 0, 3, 5
What is b in 6*b**3/5 + 102*b**2/5 + 396*b/5 = 0?
-11, -6, 0
What is k in 3*k**2 + 2358*k + 463347 = 0?
-393
Let 5*m**5 + 680*m**4 + 3960*m**3 + 7840*m**2 + 5200*m = 0. What is m?
-130, -2, 0
Solve 2*z**5/3 - 24*z**4 - 308*z**3/3 - 472*z**2/3 - 106*z - 80/3 = 0 for z.
-1, 40
Factor -5*q**3 + 125*q**2 - 760*q + 1360.
-5*(q - 17)*(q - 4)**2
Find v, given that -4*v**2/7 + 2048*v/7 - 292 = 0.
1, 511
Solve 22*b**3/7 - 102*b**2/7 - 172*b/7 - 48/7 = 0 for b.
-1, -4/11, 6
Determine j, given that -4*j**3 - 1300*j**2 - 2572*j + 3876 = 0.
-323, -3, 1
What is g in 2*g**5/3 + 10*g**4/3 - 46*g**3/3 + 22*g**2/3 + 44*g/3 - 32/3 = 0?
-8, -1, 1, 2
Factor -6*a**5/5 + 8*a**4 - 24*a**3/5.
-2*a**3*(a - 6)*(3*a - 2)/5
Factor -x**4/8 + 433*x**3/8 - 30879*x**2/4 + 698099*x/2 + 1945085.
-(x - 146)**3*(x + 5)/8
Find j, given that 3*j**2/4 + 195*j/4 - 153 = 0.
-68, 3
Factor k**3/4 + 35*k**2/4 + 67*k/4 + 33/4.
(k + 1)**2*(k + 33)/4
Factor -2*l**2/3 - 772*l/3 - 74498/3.
-2*(l + 193)**2/3
Let 3*t**5/4 - 267*t**4/4 + 255*t**3 = 0. What is t?
0, 4, 85
Factor 33*k**3 + 258*k**2 + 480*k - 96.
3*(k + 4)**2*(11*k - 2)
Factor -p**4 + p**3 + 3*p**2 - 5*p + 2.
-(p - 1)**3*(p + 2)
Factor k**3/5 + 49*k**2 + 15128*k/5 + 14884/5.
(k + 1)*(k + 122)**2/5
Factor 2*u**3/13 - 20*u**2/13 + 58*u/13 - 40/13.
2*(u - 5)*(u - 4)*(u - 1)/13
Factor -s**3/2 - 27*s**2 - 297*s/2 + 6534.
-(s - 12)*(s + 33)**2/2
Factor 2*b**5/5 - 9*b**4/5 + 3*b**3 - 11*b**2/5 + 3*b/5.
b*(b - 1)**3*(2*b - 3)/5
Suppose 5*y**4 - 135*y**3 + 1215*y**2 - 4025*y + 2940 = 0. What is y?
1, 7, 12
Determine s so that -5*s**4 + 15*s**3 + 5*s**2 - 15*s = 0.
-1, 0, 1, 3
Suppose 27*p**5/5 + 378*p**4/5 + 300*p**3 + 312*p**2 - 672*p/5 - 768/5 = 0. What is p?
-8, -4, -2, -2/3, 2/3
Solve l**5/2 + 2*l**4 - 13*l**3/2 - 20*l**2 + 24*l = 0 for l.
-4, 0, 1, 3
Factor 2*r**2/11 + 130*r/11 + 372/11.
2*(r + 3)*(r + 62)/11
Determine b, given that 4*b**3 + 52*b**2 + 192*b + 144 = 0.
-6, -1
Factor r**5/4 + 4*r**4 + 41*r**3/2 + 40*r**2 + 133*r/4 + 10.
(r + 1)**3*(r + 5)*(r + 8)/4
Suppose 14*l**5/13 + 64*l**4/13 - 142*l**3/13 - 120*l**2/13 + 72*l/13 = 0. What is l?
-6, -1, 0, 3/7, 2
Factor -g**4/8 + g**3/8 + g**2 - 3*g/2.
-g*(g - 2)**2*(g + 3)/8
Factor -2*f**2/9 - 70*f/3 - 412/9.
-2*(f + 2)*(f + 103)/9
Factor -p**3/9 - 4*p**2/9 + p/9 + 4/9.
-(p - 1)*(p + 1)*(p + 4)/9
Suppose -2*s**3 + 6*s**2 + 20*s - 48 = 0. What is s?
-3, 2, 4
Solve 5*v**2 - 370*v - 1975 = 0.
-5, 79
Suppose -5*q**3 - 1810*q**2 - 1795*q + 3610 = 0. Calculate q.
-361, -2, 1
Suppose -2*y**5/7 - 20*y**4/7 + 24*y**3/7 + 20*y**2/7 - 22*y/7 = 0. What is y?
-11, -1, 0, 1
What is w in 5*w**5 - 125*w**4 + 575*w**3 + 2525*w**2 + 2800*w + 980 = 0?
-1, 14
Factor -4*z**2/3 - 62*z/9 - 10/9.
-2*(z + 5)*(6*z + 1)/9
Factor 2*i**3 + 1048*i**2 + 137288*i.
2*i*(i + 262)**2
Suppose v**3/9 - 17*v**2/9 + 32*v/3 - 20 = 0. Calculate v.
5, 6
Factor 3*u**3/8 + 465*u**2/8 - 177*u + 237/2.
3*(u - 2)*(u - 1)*(u + 158)/8
Factor 6*j**4 + 62*j**3 + 70*j**2 - 22*j - 36.
2*(j + 1)**2*(j + 9)*(3*j - 2)
Factor -3*y**3 + 72*y**2 - 567*y + 1458.
-3*(y - 9)**2*(y - 6)
Suppose 4*m**2 + 528*m - 2740 = 0. Calculate m.
-137, 5
Factor p**2/2 - 3*p + 5/2.
(p - 5)*(p - 1)/2
Find u such that -u**2/2 + 416*u = 0.
0, 832
Factor -2*a**2 - 8036*a - 8072162.
-2*(a + 2009)**2
Factor m**3 + 28*m**2/5 + 33*m/5 - 18/5.
(m + 3)**2*(5*m - 2)/5
Factor -s**2/6 + s/3 + 5/2.
-(s - 5)*(s + 3)/6
Solve -q**2/3 - 9*q + 28/3 = 0 for q.
-28, 1
Factor -12*p**3 + 21*p**2 + 15*p - 18.
-3*(p - 2)*(p + 1)*(4*p - 3)
Let -w**2/5 - 328*w/5 + 333 = 0. Calculate w.
-333, 5
Determine z so that 15*z**3/4 - 2838*z**2 - 2271*z/4 = 0.
-1/5, 0, 757
Factor -f**2/4 - 405*f/4 - 1975/2.
-(f + 10)*(f + 395)/4
Factor -2*q**2/5 - 1066*q/5 + 428.
-2*(q - 2)*(q + 535)/5
Determine k, given that -5*k**2 - 195*k - 1870 = 0.
-22, -17
Solve 2*k**5/3 - 44*k**4 + 832*k**3 - 15548*k**2/3 + 4394*k = 0 for k.
0, 1, 13, 39
Determine p so that 48*p**5 - 216*p**4 - 813*p**3 - 309*p**2 + 765*p + 525 = 0.
-5/4, -1, 1, 7
Factor -17787*l**3 + 18711*l**2 - 936*l + 12.
-3*(l - 1)*(77*l - 2)**2
Factor -h**3/7 - 13*h**2/7 + 29*h/7 - 15/7.
-(h - 1)**2*(h + 15)/7
Factor -5*f**2 + 1075*f - 2130.
-5*(f - 213)*(f - 2)
Factor y**2/5 + 23*y/5 - 24/5.
(y - 1)*(y + 24)/5
Let -2*a**5/13 + 28*a**4/13 - 134*a**3/13 + 292*a**2/13 - 296*a/13 + 112/13 = 0. Calculate a.
1, 2, 7
Factor y**4 - y**3/3 - 17*y**2/3 - 19*y/3 - 2.
(y - 3)*(y + 1)**2*(3*y + 2)/3
Factor 4*s**2 - 36*s.
4*s*(s - 9)
Factor 16*z**2/3 + 28*z/3 + 2.
2*(2*z + 3)*(4*z + 1)/3
Determine u, given that 3*u**3/5 - 9*u**2 - 216*u/5 - 228/5 = 0.
-2, 19
Factor -3*l**2 + 10638*l - 9430587.
-3*(l - 1773)**2
Find c such that -3*c**3/5 + 42*c**2/5 + 12*c/5 - 168/5 = 0.
-2, 2, 14
What is r in -2*r**5 - 376*r**4 - 744*r**3 + 4*r**2 + 746*r + 372 = 0?
-186, -1, 1
Solve -2*j**4/13 - 296*j**3/13 - 11244*j**2/13 - 21608*j/13 - 10658/13 = 0.
-73, -1
Factor -c**2/9 + 184*c/9 - 181/3.
-(c - 181)*(c - 3)/9
Factor -3*a**4/5 - 189*a**3/5 + 117*a**2 - 591*a/5 + 198/5.
-3*(a - 1)**3*(a + 66)/5
Factor -46*r**3 - 42*r**2 + 280*r - 24.
-2*(r - 2)*(r + 3)*(23*r - 2)
Suppose 2*b**2 - 10*b + 8 = 0. What is b?
1, 4
Suppose y**4/5 - y**3/5 - 7*y**2/5 + y/5 + 6/5 = 0. What is y?
-2, -1, 1, 3
Determine m, given that -m**4/5 - 7*m**3/5 - m**2 + 31*m/5 + 6 = 0.
-5, -3, -1, 2
Factor -5*q**2 + 598*q + 240.
-(q - 120)*(5*q + 2)
Determine z, given that 4*z**4 + 104*z**3 - 732*z**2 + 1136*z - 512 = 0.
-32, 1, 4
Factor s**3 + 12*s**2/5 - s - 12/5.
(s - 1)*(s + 1)*(5*s + 12)/5
Suppose -3*g**2/5 - 16443*g/5 = 0. Calculate g.
-5481, 0
Suppose 2*j**3 - 786*j**2 + 102966*j - 4496182 = 0. Calculate j.
131
Factor -5*i**2 - 5*i + 60.
-5*(i - 3)*(i + 4)
Suppose -2*n**2/9 - 1418*n/9 + 316 = 0. What is n?
-711, 2
Let u**3 - 59*u**2 + 115*u - 57 = 0. Calculate u.
1, 57
Suppose d**4 + 3*d**3 + 2*d**2 = 0. What is d?
-2, -1, 0
Factor -2*f**2/7 - 1826*f/7 - 780.
-2*(f + 3)*(f + 910)/7
Find g such that -g**5/4 + 5*g**4/4 - 3*g**3/4 - 5*g**2/4 + g = 0.
-1, 0, 1, 4
Factor -d**4 + 4*d**3 + 29*d**2 + 24*d.
-d*(d - 8)*(d + 1)*(d + 3)
Factor 2*o**2/3 - 46*o/3 - 100/3.
2*(o - 25)*(o + 2)/3
Suppose -d**5 - 3*d**4 - 2*d**3 = 0. Calculate d.
-2, -1, 0
Factor -2*i**3 - 6*i**2 + 2*i + 6.
-2*(i - 1)*(i + 1)*(i + 3)
Factor -z**2 + 4*z + 5.
-(z - 5)*(z + 1)
Suppose 3*b**3 - 483*b**2 + 1428*b - 948 = 0. What is b?
1, 2, 158
Factor d**4/2 + 963*d**3/4 - 241*d**2/2.
d**2*(d + 482)*(2*d - 1)/4
Solve 5*c**3/3 + 305*c**2/3 + 4495*c/3 - 4805/3 = 0 for c.
-31, 1
Solve 5*g**4 + 15*g**3 + 5*g**2 - 15*g - 10 = 0.
-2, -1, 1
Suppose -p**2/2 - 55*p/2 = 0. Calculate p.
-55, 0
Let 3*i**3/2 + 285*i**2/2 = 0. What is i?
-95, 0
Solve 3*w**2 - 1545*w = 0 for w.
0, 515
Let 5*u**2 + 590*u - 1200 = 0. What is u?
-120, 2
Factor -3*d**3 - 18*d**2 + 45*d - 24.
-3*(d - 1)**2*(d + 8)
Determine y, given that -68*y**5/3 + 667*y**4/3 - 1025*y**3/3 + 313*y**2/3 + 121*y/3 - 8/3 = 0.
-1/4, 1/17, 1, 8
Solve -4*a**4 - 528*a**3 - 1036*a**2 + 528*a + 1040 = 0 for a.
-130, -2, -1, 1
Factor -s**2 + 102*s.
-s*(s - 102)
Factor g**3/2 - 15*g**2 - 207*g/2 - 162.
(g - 36)*(g + 3)**2/2
Factor -2*s**4/7 - 4*s**3/7 + 6*s**2/7 + 8*s/7 - 8/7.
-2*(s - 1)**2*(s + 2)**2/7
Find m such that -m**2/7 + 22*m/7 - 57/7 = 0.
3, 19
Factor -9*c**3/2 + 195*c**2/2 - 336*c + 318.
-3*(c - 2)**2*(3*c - 53)/2
Determine t, given that -4*t**2/3 + 5044*t/3 - 1680 = 0.
1, 1260
Determine u so that 3*u**2/2 + 6*u + 9/2 = 0.
-3, -1
Factor -l**2/3 - 35*l/3 + 1334/3.
-(l - 23)*(l + 58)/3
Factor 2*f**4/3 - 216*f**3 - 652*f**2 - 1960*f/3 - 218.
2*(f - 327)*(f + 1)**3/3
Factor 3*b**3 + 9*b**2 + 6*b.
3*b*(b + 1)*(b + 2)
Factor 3*k**2 - 1992*k - 3996.
3*(k - 666)*(k + 2)
Factor r**4/5 - r**3/5 - 57*r**2/5 + r