 480*r - 900 = 0. Calculate r.
-10, -1, 3
Factor -2*g**3/5 + 2*g**2/5 + 116*g/5 - 224/5.
-2*(g - 7)*(g - 2)*(g + 8)/5
Factor 5*t**4 - 8*t**3 - 57*t**2 + 36*t.
t*(t - 4)*(t + 3)*(5*t - 3)
Factor g**3 + 677*g**2 - 1357*g + 679.
(g - 1)**2*(g + 679)
Factor -2*i**2/3 + 50*i/3 + 988/3.
-2*(i - 38)*(i + 13)/3
Find s such that -12*s**3 + 231*s**2 - 1137*s + 270 = 0.
1/4, 9, 10
Determine n so that 4*n**2 - 448*n - 452 = 0.
-1, 113
Solve -8*v**4/7 + 30*v**3/7 - 20*v**2/7 - 30*v/7 + 4 = 0.
-1, 1, 7/4, 2
Solve -i**4/7 - 68*i**3/7 - 1156*i**2/7 = 0.
-34, 0
Determine j, given that j**4/2 - 10*j**3 + 99*j**2/2 - 44*j - 104 = 0.
-1, 4, 13
Let 20*p**5 - 565*p**4 + 2740*p**3 + 6310*p**2 + 2040*p - 945 = 0. What is p?
-1, 1/4, 9, 21
Factor h**3/3 - 154*h**2 + 612*h - 1832/3.
(h - 458)*(h - 2)**2/3
Factor -243*z**3/8 + 135*z**2/2 + 192*z + 96.
-3*(z - 4)*(9*z + 8)**2/8
What is d in d**3 - 2*d**2 - 15*d + 36 = 0?
-4, 3
Factor -3*z**3/4 - 259*z**2 - 89095*z/4 + 29929/2.
-(z + 173)**2*(3*z - 2)/4
Factor p**4/8 + p**3/4 - 507*p**2/8 + 549*p - 486.
(p - 12)**2*(p - 1)*(p + 27)/8
Suppose o**4 + 10*o**3 + 8*o**2 - 10*o - 9 = 0. Calculate o.
-9, -1, 1
Determine d, given that -38*d**2 + 3*d = 0.
0, 3/38
Factor s**2/4 + 5*s/4 - 6.
(s - 3)*(s + 8)/4
Determine x, given that x**4/5 + 57*x**3/5 + 482*x**2/5 + 492*x/5 - 3384/5 = 0.
-47, -6, 2
Factor 3*v**2 + 402*v + 13467.
3*(v + 67)**2
Solve -2*w**4 + 6*w**3 + 8*w**2 = 0.
-1, 0, 4
Factor 2*y**3/11 - 70*y**2/11 + 414*y/11 + 486/11.
2*(y - 27)*(y - 9)*(y + 1)/11
Solve -3*a**3/5 + 249*a**2/5 - 5289*a/5 + 5043/5 = 0.
1, 41
Factor 12*n**3/11 - 458*n**2/11 + 4408*n/11 - 722/11.
2*(n - 19)**2*(6*n - 1)/11
Let 80*k**5 + 5480*k**4 + 23525*k**3 + 31220*k**2 + 11540*k + 1280 = 0. Calculate k.
-64, -2, -1/4
What is v in 8*v**5 - 4*v**4 - 12*v**3 = 0?
-1, 0, 3/2
Determine k so that 12*k**5 - 8*k**4 - 32*k**3 + 8*k**2 + 20*k = 0.
-1, 0, 1, 5/3
Find v such that -18050*v**5/11 - 45410*v**4/11 - 37728*v**3/11 - 10368*v**2/11 = 0.
-1, -72/95, 0
Determine a so that a**4/7 + 52*a**3/7 + 916*a**2/7 + 6240*a/7 + 14400/7 = 0.
-20, -6
Find n such that -165*n**3/2 + 939*n**2/4 + 39*n - 9/4 = 0.
-1/5, 1/22, 3
Solve 3*a**4/4 - 39*a**3/2 + 687*a**2/4 - 585*a + 675 = 0 for a.
3, 10
Factor -v**4/4 + 21*v**3/2 + 348*v**2 + 3040*v + 8448.
-(v - 66)*(v + 8)**3/4
Factor 2*z**5 + 82*z**4 + 378*z**3 + 662*z**2 + 508*z + 144.
2*(z + 1)**3*(z + 2)*(z + 36)
Solve -4950*q**5 - 20730*q**4 - 508*q**3 + 12088*q**2 - 2992*q + 192 = 0 for q.
-4, -1, 2/15, 6/11
Factor r**2 - 216*r + 11664.
(r - 108)**2
What is q in 2*q**5/7 + 74*q**4/7 + 912*q**3/7 + 3744*q**2/7 = 0?
-13, -12, 0
Determine n, given that -3*n**2/4 + 327*n/4 + 333/2 = 0.
-2, 111
Suppose -i**4 - 27*i**3 - 177*i**2 - 277*i - 126 = 0. Calculate i.
-18, -7, -1
Find p, given that p**3/2 - 18*p**2 + 35*p/2 = 0.
0, 1, 35
Factor -2*g**2/7.
-2*g**2/7
Factor 2*k**5 - 130*k**4 - 268*k**3.
2*k**3*(k - 67)*(k + 2)
Solve -3*a**5 - 12*a**4 + 324*a**3 - 1248*a**2 + 1344*a = 0 for a.
-14, 0, 2, 4
Factor 3*l**2 + 1079*l + 718.
(l + 359)*(3*l + 2)
Suppose 10*b**2/7 + 58*b/7 - 60 = 0. Calculate b.
-10, 21/5
Factor -c**3/6 - 7*c**2/3 - 49*c/6 - 6.
-(c + 1)*(c + 4)*(c + 9)/6
What is q in q**2/4 + 6*q + 143/4 = 0?
-13, -11
Solve 2*l**3/5 + 126*l**2/5 - 128*l/5 = 0.
-64, 0, 1
Factor -u**5/2 - 3*u**4 + 47*u**3/2 + 84*u**2 - 392*u.
-u*(u - 4)**2*(u + 7)**2/2
Factor t**4/7 + t**3 - 39*t**2/7 + 53*t/7 - 22/7.
(t - 2)*(t - 1)**2*(t + 11)/7
Let -2*a**5 - 22*a**4/7 + 62*a**3/7 - 2*a**2/7 - 24*a/7 = 0. Calculate a.
-3, -4/7, 0, 1
Factor -2*o**3/9 + 178*o**2 - 106666*o/3 - 321602/9.
-2*(o - 401)**2*(o + 1)/9
Factor 2*h**5 + 36*h**4 + 186*h**3 + 160*h**2 - 384*h.
2*h*(h - 1)*(h + 3)*(h + 8)**2
Factor -4*i**2/7 - 380*i/7.
-4*i*(i + 95)/7
Solve -3*g**2 - 3693*g - 3690 = 0.
-1230, -1
Suppose 9*i**5/7 - 146*i**4/7 + 698*i**3/7 - 652*i**2/7 - 173*i + 42 = 0. What is i?
-1, 2/9, 3, 7
Factor -5*l**3 - 170*l**2 - 325*l - 160.
-5*(l + 1)**2*(l + 32)
Factor f**3/5 + 13*f**2/5 - 4*f/5 - 52/5.
(f - 2)*(f + 2)*(f + 13)/5
Let 2*t**2/3 + 1192*t + 532824 = 0. What is t?
-894
Factor 2*r**2 - 56*r + 392.
2*(r - 14)**2
Factor -4*g**2 + 1736*g + 1740.
-4*(g - 435)*(g + 1)
Determine z, given that -2*z**2 - 92*z - 176 = 0.
-44, -2
Factor 20*r**2 - 84*r + 72.
4*(r - 3)*(5*r - 6)
Suppose 5*s**5 - 195*s**4 + 355*s**3 + 555*s**2 = 0. Calculate s.
-1, 0, 3, 37
Factor u**4/3 + 53*u**3/3 - 488*u**2/3.
u**2*(u - 8)*(u + 61)/3
Factor -2*r**5/7 - 38*r**4/7 - 20*r**3.
-2*r**3*(r + 5)*(r + 14)/7
Let b**2/6 + b + 5/6 = 0. What is b?
-5, -1
Find g such that 4*g**2/3 + 256*g/3 + 244 = 0.
-61, -3
Suppose 3*v**5 - 30*v**4 + 75*v**3 = 0. What is v?
0, 5
What is s in 3*s**2 - 45*s + 78 = 0?
2, 13
Factor -k**4/2 + k**3/2 + 3*k**2/2 - 5*k/2 + 1.
-(k - 1)**3*(k + 2)/2
Suppose -y**2 - 31*y = 0. Calculate y.
-31, 0
Determine i so that 52*i**3/5 - 304*i**2/5 - 48*i/5 = 0.
-2/13, 0, 6
Factor c**4/5 - 4*c**3 + 81*c**2/5 - 18*c.
c*(c - 15)*(c - 3)*(c - 2)/5
Factor 4*n**4/9 - 4*n**3 - 40*n**2/9.
4*n**2*(n - 10)*(n + 1)/9
Factor g**3/8 + 9*g**2/8 + 5*g/2.
g*(g + 4)*(g + 5)/8
Factor -20*d**4 + 1855*d**3 - 57195*d**2 + 581405*d + 148955.
-5*(d - 31)**3*(4*d + 1)
Let 34*i**3/7 + 208*i**2/7 + 330*i/7 + 36/7 = 0. What is i?
-3, -2/17
Factor -2*g**3 - 128*g**2 + 1128*g - 1728.
-2*(g - 6)*(g - 2)*(g + 72)
Determine m, given that 4*m**4 + 8*m**3 - 180*m**2 + 136*m + 320 = 0.
-8, -1, 2, 5
Let -3*a**4 + 24*a**3 - 18*a**2 - 120*a - 75 = 0. Calculate a.
-1, 5
What is c in -c**4 + 7*c**3 - 18*c**2 + 20*c - 8 = 0?
1, 2
Factor 4884*i**3/5 - 4882*i**2/5 - 2*i/5.
2*i*(i - 1)*(2442*i + 1)/5
Find i such that -i**2/7 + 2802*i/7 - 1962801/7 = 0.
1401
Find i such that -961*i**4/4 - 1147*i**3/2 - 1741*i**2/4 - 111*i - 9 = 0.
-1, -6/31
Factor -4*t**2 - 25288*t - 39967684.
-4*(t + 3161)**2
Let 4*a**4 - 28*a**3 - 164*a**2 - 132*a = 0. What is a?
-3, -1, 0, 11
Factor 5*k**4/4 + 33*k**3/4 + 13*k**2/2 - 24*k + 8.
(k - 1)*(k + 4)**2*(5*k - 2)/4
Determine y so that 2*y**3/13 - 6*y**2/13 - 8*y/13 = 0.
-1, 0, 4
Factor -21*i**4 + 1593*i**3/2 + 57*i**2.
-3*i**2*(i - 38)*(14*i + 1)/2
Let 3*i**3 + 198*i**2 + 387*i + 192 = 0. Calculate i.
-64, -1
Factor 5*i**5 + 55*i**4 + 185*i**3 + 225*i**2 + 90*i.
5*i*(i + 1)**2*(i + 3)*(i + 6)
Let -3*m**4 - 54*m**3 - 279*m**2 - 564*m - 396 = 0. What is m?
-11, -3, -2
Factor j**4 + 8*j**3 + 21*j**2 + 22*j + 8.
(j + 1)**2*(j + 2)*(j + 4)
Let 2*z**4 + 8*z**3 + 4*z**2 - 8*z - 6 = 0. Calculate z.
-3, -1, 1
Suppose 8*i**4/5 - 268*i**3/5 + 356*i**2 - 340*i - 1500 = 0. Calculate i.
-3/2, 5, 25
Factor -28*t**2/3 - 92*t/3 - 64/3.
-4*(t + 1)*(7*t + 16)/3
Factor u**5/5 + 646*u**4/5 + 2572*u**3/5 + 2568*u**2/5.
u**2*(u + 2)**2*(u + 642)/5
Solve -3*r**2 + 390*r + 393 = 0.
-1, 131
Suppose -4*c**4/5 + 12*c**3/5 + 16*c**2/5 = 0. Calculate c.
-1, 0, 4
Determine n so that -3*n**5/5 - 9*n**4/5 - 6*n**3/5 = 0.
-2, -1, 0
Suppose -2*z**5/7 + 22*z**4/7 - 46*z**3/7 - 22*z**2/7 + 48*z/7 = 0. What is z?
-1, 0, 1, 3, 8
Solve 36*a**4 + 170*a**3 + 90*a**2 - 60*a - 16 = 0.
-4, -1, -2/9, 1/2
Determine c so that 3*c**3 + 54*c**2 + 243*c = 0.
-9, 0
Factor -d**2/8 - 127*d/8 - 125/4.
-(d + 2)*(d + 125)/8
Factor l**2 + 39*l + 378.
(l + 18)*(l + 21)
Factor f**2 + 45*f + 374.
(f + 11)*(f + 34)
Determine c, given that -2*c**5 + 34*c**4 + 76*c**3 + 4*c**2 - 74*c - 38 = 0.
-1, 1, 19
Let f**2/6 + 1001*f/6 - 167 = 0. What is f?
-1002, 1
Factor -2*c**3/5 - 274*c**2/5 + 284*c.
-2*c*(c - 5)*(c + 142)/5
Factor 3*d**4 - 48*d**3 - 171*d**2 - 12*d + 228.
3*(d - 19)*(d - 1)*(d + 2)**2
Factor 2*l**3/5 + 2*l**2/5.
2*l**2*(l + 1)/5
Factor -2*p**3/7 - 282*p**2/7 - 1440*p - 1400.
-2*(p + 1)*(p + 70)**2/7
Let 11*f**4/6 + 29*f**3 - 16*f**2/3 = 0. What is f?
-16, 0, 2/11
What is u in -24*u**2/7 - 6150*u/7 - 1536/7 = 0?
-256, -1/4
Factor -578*n**4/3 + 8636*n**3/3 - 47762*n**2/3 + 38608*n - 34656.
-2*(n - 3)**2*(17*n - 76)**2/3
Solve -y**5/2 - 15*y**4/4 + 73*y**3/4 - 12*y**2 - 11*y = 0.
-11, -1/2, 0, 2
Determine c so that 6*c**4/11 + 2400*c**3/11 + 251700*c**2/11 + 2340000*c/11 + 5703750/11 = 0.
-195, -5
Factor p**3 - 322*p**2 + 321*p.
p*(p - 321)*(p - 1)
Let 2*q**2/3 - 144*q + 856/3 = 0. What is q?
2, 214
Suppose 5*y**2 - 465*y - 950 = 0. Calculate y.
-2, 95
Factor -4*r**2/3 - 20*r/3 + 8.
-4*(r - 1)*(r + 6)/3
Factor 4*z**3/3 - 8*z**2 + 20*z/3.
4*z