*l**2 - 14*l - 20 = 0.
-5, -2
Factor 5*o**4 + 20*o**3 - 10*o**2 - 60*o + 45.
5*(o - 1)**2*(o + 3)**2
Factor -3*l**2/5 - 33*l/5 + 78/5.
-3*(l - 2)*(l + 13)/5
Find i such that -2*i**3/3 - 1058*i**2 - 419232*i + 1260872/3 = 0.
-794, 1
What is b in b**4 + b**3 - 2*b**2 = 0?
-2, 0, 1
Suppose -r**5/3 - 18*r**4 = 0. Calculate r.
-54, 0
Factor -2*p**2/13 - 512*p/13 + 514/13.
-2*(p - 1)*(p + 257)/13
Factor 40*c**5/9 - 86*c**4/9 + 52*c**3/9 - 2*c**2/3.
2*c**2*(c - 1)**2*(20*c - 3)/9
Factor -w**2/4 + 5*w/4 - 1.
-(w - 4)*(w - 1)/4
Find o such that 350*o**3/3 - 370*o**2/3 + 22*o + 6 = 0.
-1/7, 3/5
Factor 4*d**4 - 112*d**3 + 400*d**2 - 384*d.
4*d*(d - 24)*(d - 2)**2
Let 5*k**3 - 40*k**2 - 295*k - 390 = 0. Calculate k.
-3, -2, 13
Factor 46*c**3/7 + 166*c**2/7 - 212*c/7.
2*c*(c - 1)*(23*c + 106)/7
Find o, given that -4*o**4/5 + 56*o**3/5 - 144*o**2/5 - 864*o/5 + 3456/5 = 0.
-4, 6
Factor z**5 + 14*z**4 + 66*z**3 + 124*z**2 + 101*z + 30.
(z + 1)**3*(z + 5)*(z + 6)
Factor -2*l**2 + 6*l + 360.
-2*(l - 15)*(l + 12)
Solve -2*z**2/11 - 442*z/11 = 0.
-221, 0
Solve 35*n**4 + 225*n**3 + 420*n**2 + 100*n - 240 = 0.
-3, -2, 4/7
Factor -2*n**4/23 - 168*n**3/23 + 3172*n**2/23 + 281400*n/23 - 5611250/23.
-2*(n - 25)**2*(n + 67)**2/23
Suppose -6*c**4 - 4*c**3/3 + 168*c**2 - 752*c/3 - 64 = 0. What is c?
-6, -2/9, 2, 4
Factor -3*z**2 + 33*z.
-3*z*(z - 11)
Factor 5*k**3 - 8340*k**2 - 8345*k.
5*k*(k - 1669)*(k + 1)
Suppose -2*k**2 + 58*k = 0. What is k?
0, 29
What is t in -4*t**3 + 12*t**2 + 100*t + 84 = 0?
-3, -1, 7
Factor -2*s**2/9 - 40*s/9 + 14/3.
-2*(s - 1)*(s + 21)/9
Suppose -4*v**2 - 424*v + 1308 = 0. What is v?
-109, 3
Determine g so that 3*g**2 - 48 = 0.
-4, 4
Factor 3*g**2/5 - 60*g + 1500.
3*(g - 50)**2/5
Solve -15*g**3 + 25*g**2 - 5*g - 5 = 0.
-1/3, 1
Solve 103680*v**2 - 1440*v + 5 = 0.
1/144
Factor 8*n**3 + 1364*n**2 + 676*n - 680.
4*(n + 1)*(n + 170)*(2*n - 1)
Let -4*j**3 - 12*j**2 + 40*j = 0. What is j?
-5, 0, 2
Factor 5*c**3 + 25*c**2 - 60*c - 180.
5*(c - 3)*(c + 2)*(c + 6)
Determine b so that 4*b**3 - 226*b**2/3 + 374*b/3 = 0.
0, 11/6, 17
Factor 2*r**2/3 + 32*r/3.
2*r*(r + 16)/3
Find x such that 2*x**5 - 22*x**4 + 36*x**3 + 4*x**2 - 38*x + 18 = 0.
-1, 1, 9
Determine s so that -8*s**4/9 + 38*s**3/9 + 154*s**2/9 - 60*s - 16 = 0.
-4, -1/4, 3, 6
Determine j so that -3*j**4 - 3*j**3 + 21*j**2 + 3*j - 18 = 0.
-3, -1, 1, 2
Solve -5*i**2 + 175*i + 180 = 0.
-1, 36
Factor 3*r**3 + 65*r**2 - 3*r - 65.
(r - 1)*(r + 1)*(3*r + 65)
Solve -4*x**2 - 20608*x - 26543104 = 0.
-2576
What is i in -3*i**2/8 - 12*i - 93/8 = 0?
-31, -1
Factor -u**3/5 + 97*u**2/5 - 480*u + 2304/5.
-(u - 48)**2*(u - 1)/5
Factor -m**3/11 + 32*m**2/11 - 31*m/11.
-m*(m - 31)*(m - 1)/11
Solve -4*j**5 - 4*j**4 + 4*j**3 + 4*j**2 = 0.
-1, 0, 1
Find j, given that -j**3 - 34*j**2 - 33*j = 0.
-33, -1, 0
Factor -q**3/3 - q**2 + q/3 + 1.
-(q - 1)*(q + 1)*(q + 3)/3
Determine k, given that -k**3/5 - 8*k**2/5 - 13*k/5 - 6/5 = 0.
-6, -1
Suppose -y**4/3 + 11*y**3/3 + 14*y**2 + 4*y/3 - 56/3 = 0. What is y?
-2, 1, 14
Find z, given that 4*z**2 - 80*z - 84 = 0.
-1, 21
Find v, given that 3*v**3 - 18*v**2 - 3*v + 18 = 0.
-1, 1, 6
Factor -4*f**3 + 1856*f**2 - 213428*f - 434312.
-4*(f - 233)**2*(f + 2)
Find t such that -t**5 + 31*t**4/3 - 118*t**3/3 + 68*t**2 - 152*t/3 + 32/3 = 0.
1/3, 2, 4
Find u, given that 2*u**2/3 - 2*u = 0.
0, 3
Factor -4*l**4 - 244*l**3 - 3336*l**2 + 11776*l - 8192.
-4*(l - 2)*(l - 1)*(l + 32)**2
Let k**3/4 + 23*k**2/4 - 49*k/4 + 25/4 = 0. Calculate k.
-25, 1
Determine r, given that -2*r**3/3 + 56*r**2 - 904*r/3 - 832 = 0.
-2, 8, 78
Let -5*u**3 + 15*u**2 - 20 = 0. Calculate u.
-1, 2
Factor -2*b**2/7 + 114*b/7 + 116/7.
-2*(b - 58)*(b + 1)/7
Factor -3*s**2 - 1338*s - 149187.
-3*(s + 223)**2
Find n, given that -n**4 + 37*n**3/3 + 124*n**2/3 - 44*n/3 - 80 = 0.
-2, 4/3, 15
Let 2*u**3/3 + 6*u**2 + 12*u = 0. What is u?
-6, -3, 0
Let 4*w**2 + 188*w - 192 = 0. Calculate w.
-48, 1
Find b such that 4913*b**5/2 + 22253*b**4/2 + 12801*b**3 + 4833*b**2 + 1485*b/2 + 81/2 = 0.
-3, -1, -3/17
Factor 2*h**4/11 - 586*h**3/11 - 1178*h**2/11 - 590*h/11.
2*h*(h - 295)*(h + 1)**2/11
Factor -4*l**2/5 - 28*l/5 + 72/5.
-4*(l - 2)*(l + 9)/5
What is c in -c**4/3 + 16*c**3/9 + c**2/3 - 4*c - 20/9 = 0?
-1, -2/3, 2, 5
Suppose -3*j**4 - 78*j**3 + 9*j**2 + 228*j - 156 = 0. Calculate j.
-26, -2, 1
Solve -3*m**5 + 3*m**4 + 18*m**3 + 6*m**2 - 15*m - 9 = 0 for m.
-1, 1, 3
Factor -20*c**2 - 952*c + 384.
-4*(c + 48)*(5*c - 2)
Determine y so that 17*y**2/3 - 50*y/3 - 1 = 0.
-1/17, 3
Factor 14*u**2 - 80*u/3 - 8/3.
2*(u - 2)*(21*u + 2)/3
Suppose -35*r**5 - 2110*r**4 - 4695*r**3 - 3200*r**2 - 580*r = 0. What is r?
-58, -1, -2/7, 0
Factor -3*j**2/7 + 18*j/7.
-3*j*(j - 6)/7
What is f in f**5/4 - 5*f**4/2 + 25*f**3/4 - 9*f = 0?
-1, 0, 2, 3, 6
Factor -n**4 - 35*n**3 + 159*n**2 + 99*n - 702.
-(n - 3)**2*(n + 2)*(n + 39)
Find b such that 3*b**3 - 39*b + 36 = 0.
-4, 1, 3
Factor j**2/5 - j - 6/5.
(j - 6)*(j + 1)/5
What is z in -2*z**2/11 + 284*z/11 + 26 = 0?
-1, 143
Factor 3*h**4 + 9*h**3 - 9*h**2 - 33*h - 18.
3*(h - 2)*(h + 1)**2*(h + 3)
Suppose 40*t**3/7 + 438*t**2/7 - 496*t/7 + 96/7 = 0. Calculate t.
-12, 1/4, 4/5
Factor -y**3/10 - 879*y**2/10 - 38367*y/2 + 583443/10.
-(y - 3)*(y + 441)**2/10
Factor -4*z**4/9 + 604*z**3/9 - 3572*z**2 + 680372*z/9 - 4152920/9.
-4*(z - 47)**3*(z - 10)/9
Factor 4*t**3 - 120*t**2 + 432*t - 416.
4*(t - 26)*(t - 2)**2
Let h**4 - 19*h**3 + 14*h**2 + 76*h - 72 = 0. Calculate h.
-2, 1, 2, 18
Factor 2*i**5 - 44*i**4 + 138*i**3 + 1144*i**2 + 1352*i.
2*i*(i - 13)**2*(i + 2)**2
Factor -5*w**5 + 45*w**3.
-5*w**3*(w - 3)*(w + 3)
Factor -36*w**2 - 1608*w - 17956.
-4*(3*w + 67)**2
Factor 2*t**4 + 884*t**3 - 6*t**2 - 2648*t + 1768.
2*(t - 1)**2*(t + 2)*(t + 442)
Suppose -2*z**2/7 + 34*z/7 - 12 = 0. Calculate z.
3, 14
Find w such that 12*w**2/17 + 94*w/17 - 16/17 = 0.
-8, 1/6
Determine z, given that 2*z**4/9 + 16*z**3/3 - 106*z**2/9 - 16*z/3 + 104/9 = 0.
-26, -1, 1, 2
Factor -v**2/6 + 73*v/6 - 67.
-(v - 67)*(v - 6)/6
Factor -i**2/2 - 8*i - 15/2.
-(i + 1)*(i + 15)/2
Factor 2*o**4 - 64*o**3 + 52*o**2 + 304*o + 186.
2*(o - 31)*(o - 3)*(o + 1)**2
Factor 2*d**5/3 - 16*d**4 + 190*d**3/3.
2*d**3*(d - 19)*(d - 5)/3
Factor 21*q**3 + 438*q**2 - 528*q.
3*q*(q + 22)*(7*q - 8)
What is z in -4*z**2 - 5184*z - 1679616 = 0?
-648
Let -g**2/4 + 458*g - 209764 = 0. Calculate g.
916
Factor 2*y**2/13 + 50*y/13 - 108/13.
2*(y - 2)*(y + 27)/13
Determine k, given that k**2 + 36*k - 405 = 0.
-45, 9
What is i in 3*i**3 - 18*i**2 - 567*i - 1458 = 0?
-9, -3, 18
Factor s**2 + 2*s - 3.
(s - 1)*(s + 3)
Determine n so that -2*n**3/15 - 64*n**2/3 + 1322*n/15 + 328/3 = 0.
-164, -1, 5
Suppose y**2/2 - 33*y/2 - 35 = 0. Calculate y.
-2, 35
What is o in 5*o**2 + 1500*o - 1505 = 0?
-301, 1
What is f in 40*f**5/7 + 16*f**4/7 - 30*f**3/7 - 22*f**2/7 - 4*f/7 = 0?
-1/2, -2/5, 0, 1
Factor 3*h**5 - 3*h**3.
3*h**3*(h - 1)*(h + 1)
Solve -z**3 + 138*z**2 + 564*z + 568 = 0 for z.
-2, 142
Let 3*q**5 + 9*q**4 - 54*q**3 - 162*q**2 + 243*q + 729 = 0. Calculate q.
-3, 3
Solve 2*f**2/13 + 162*f/13 - 164/13 = 0 for f.
-82, 1
Solve i**2/7 - 7 = 0 for i.
-7, 7
Determine y, given that 2*y**2 - 4*y + 2 = 0.
1
Factor -n**3/7 - 3*n**2/7 + 10*n/7.
-n*(n - 2)*(n + 5)/7
Let 3*q**2/7 + 852*q/7 - 7008/7 = 0. What is q?
-292, 8
Let -501*u**2 + 519*u - 18 = 0. Calculate u.
6/167, 1
Determine y so that y**5 + y**4/3 - 2*y**3 - 2*y**2/3 + y + 1/3 = 0.
-1, -1/3, 1
Find s such that -4*s**4/9 - 32*s**3/9 + 16*s**2/9 + 128*s/9 = 0.
-8, -2, 0, 2
Factor 2*i**2 + 108*i + 106.
2*(i + 1)*(i + 53)
Find z such that 4*z**4/5 + 52*z**3/5 + 24*z**2 = 0.
-10, -3, 0
Factor 2*k**2/3 - 8*k.
2*k*(k - 12)/3
Suppose -6*b**5 - 1022*b**4 - 42658*b**3 + 73614*b**2 - 15136*b - 14792 = 0. Calculate b.
-86, -1/3, 1
Solve 5*k**2 + 415*k + 1580 = 0 for k.
-79, -4
What is q in 8*q**2 - 290*q + 72 = 0?
1/4, 36
What is x in -3*x**4 + 930*x**3 + 9*x**2 - 2796*x + 1860 = 0?
-2, 1, 310
Factor -5*m**4 - 130*m**3 + 55*m**2 + 11700*m - 40500.
-5*(m - 5)**2*(m + 18)**2
Factor 5*b**2 + 145*b - 310.
5*(b - 2)*(b + 31)
Factor -2*q**2 + 40*q + 312.
-2*(q - 26)*(q + 6)
Determine r so that -14*r**3/3 - 10*r**2/3 + 32*r/7 + 24/7 = 0.
-6/7, 1
Suppose -4*c**5 - 24*c**4 - 20*c**3 + 64*c**2 + 48*c - 64 = 0. Calculate c.
-4, -2, 1
Factor 2*j**4 - 62*j**3 + 