ine y so that 5*y**2 + 235*y = 0.
-47, 0
Factor 10*d**4 - 95*d**3.
5*d**3*(2*d - 19)
What is t in 2*t**2 - 68*t - 144 = 0?
-2, 36
Factor y**3/12 - 2*y**2/3 - 128*y/3 + 512.
(y - 16)**2*(y + 24)/12
Factor -100*w**2/7 - 92*w/7 + 8/7.
-4*(w + 1)*(25*w - 2)/7
Solve 28*i**3 - 1172*i**2 + 12180*i + 1764 = 0 for i.
-1/7, 21
Let -k**3/2 - k**2/2 + 37*k + 72 = 0. What is k?
-8, -2, 9
Factor -3*k**3/2 + 273*k**2/2 - 7881*k/2 + 69819/2.
-3*(k - 37)**2*(k - 17)/2
Factor 5*o**4 - 535*o**3 - 565*o**2 + 2715*o - 1620.
5*(o - 108)*(o - 1)**2*(o + 3)
Find y such that 3*y**4 - 21*y**2 + 18*y = 0.
-3, 0, 1, 2
Let -2*w**4/7 - 2*w**3 + 54*w**2/7 - 58*w/7 + 20/7 = 0. Calculate w.
-10, 1
Factor 2*c**4/7 - 88*c**3/7 + 160*c**2 - 3200*c/7.
2*c*(c - 20)**2*(c - 4)/7
Factor 4*r**2 + 2020*r.
4*r*(r + 505)
Determine n, given that 2*n**4/11 + 12*n**3/11 - 6*n**2/11 - 32*n/11 + 24/11 = 0.
-6, -2, 1
Factor 2*n**2/9 - 70*n/9 + 44/3.
2*(n - 33)*(n - 2)/9
What is r in -5*r**2 + 200*r + 880 = 0?
-4, 44
Factor -2*g**4 + 34*g**3 + 36*g**2.
-2*g**2*(g - 18)*(g + 1)
Factor 4*h**3 + 4*h**2.
4*h**2*(h + 1)
Solve v**4 + 445*v**3/3 + 16127*v**2/3 - 9275*v + 3750 = 0 for v.
-75, 2/3, 1
Solve 4*r**5 + 20*r**4 + 16*r**3 - 64*r**2 - 128*r - 64 = 0 for r.
-2, -1, 2
Let p**5 - 12*p**4 + 52*p**3 - 96*p**2 + 64*p = 0. Calculate p.
0, 2, 4
Solve k**4 + 6*k**3 + 11*k**2 + 6*k = 0.
-3, -2, -1, 0
Factor -2*p**2/11 - 556*p/11 + 558/11.
-2*(p - 1)*(p + 279)/11
Factor a**2/10 - 3*a/2 + 18/5.
(a - 12)*(a - 3)/10
Factor -3*b**3/5 + 3*b**2/5 + 72*b/5 + 108/5.
-3*(b - 6)*(b + 2)*(b + 3)/5
Find a such that -2*a**3 = 0.
0
Let -3*y**3 - 45*y**2 + 54*y + 96 = 0. What is y?
-16, -1, 2
Let v**2/3 - 106*v/3 - 72 = 0. Calculate v.
-2, 108
Find k such that -4*k**5 - 2*k**4/3 + 38*k**3/3 + 28*k**2/3 = 0.
-7/6, -1, 0, 2
Solve -15*x**5/7 + 57*x**4/7 - 81*x**3/7 + 51*x**2/7 - 12*x/7 = 0 for x.
0, 4/5, 1
What is l in 2*l**5/5 - 2*l**4/5 - 2*l**3/5 + 2*l**2/5 = 0?
-1, 0, 1
Determine m so that -42*m**5 + 285*m**4 - 330*m**3 - 285*m**2 + 312*m - 60 = 0.
-1, 2/7, 1/2, 2, 5
Let 3*x**5 - 6*x**4 - 21*x**3 - 12*x**2 = 0. Calculate x.
-1, 0, 4
Factor -44*c**3 - 80*c**2 + 16*c.
-4*c*(c + 2)*(11*c - 2)
Factor u**3/6 - 29*u**2.
u**2*(u - 174)/6
Find u such that -3*u**2/5 - 45*u = 0.
-75, 0
Factor -5*x**3 + 1520*x**2 - 6065*x/4 + 1515/4.
-5*(x - 303)*(2*x - 1)**2/4
Let 7*g**5 - 634*g**4 + 2524*g**3/7 - 360*g**2/7 = 0. What is g?
0, 2/7, 90
Suppose 3*o**2 - 1257*o - 2526 = 0. Calculate o.
-2, 421
Factor 3*p**2/7 + 132*p/7 - 135/7.
3*(p - 1)*(p + 45)/7
Factor -m**4 + 8*m**3 - 23*m**2 + 28*m - 12.
-(m - 3)*(m - 2)**2*(m - 1)
Let -i**2 - 1259*i/4 + 315/4 = 0. Calculate i.
-315, 1/4
Suppose 2*c**4 - 4*c**3 - 6*c**2 + 8*c + 8 = 0. Calculate c.
-1, 2
Factor 14*b**2/5 + 1291*b/5 + 276/5.
(b + 92)*(14*b + 3)/5
Determine c so that 5*c**3/2 + 421*c**2/2 + 4452*c + 882 = 0.
-42, -1/5
What is r in 5*r**2 + 260*r - 265 = 0?
-53, 1
Suppose -2*k**2/7 - 370*k/7 + 616 = 0. Calculate k.
-196, 11
Factor -2*h**3/3 + 8*h**2/3 + 2*h/3 - 8/3.
-2*(h - 4)*(h - 1)*(h + 1)/3
Determine y, given that 2*y**5/5 - 6*y**4/5 - 62*y**3/5 - 26*y**2 - 108*y/5 - 32/5 = 0.
-2, -1, 8
Let 5*m**4 + 105*m**3 + 485*m**2 - 105*m - 490 = 0. Calculate m.
-14, -7, -1, 1
Solve x**4 - 18*x**3 + 81*x**2 - 108*x = 0.
0, 3, 12
Factor -v**3/5 + 33*v**2/5 + 8*v - 204/5.
-(v - 34)*(v - 2)*(v + 3)/5
Factor 242*h**4/3 - 1408*h**3 + 6144*h**2.
2*h**2*(11*h - 96)**2/3
Let -3*h**5/8 + 9*h**4/2 - 81*h**3/8 = 0. Calculate h.
0, 3, 9
Factor 3*q**2/4 - 261*q/4 - 66.
3*(q - 88)*(q + 1)/4
Factor -3*q**2/7 - 81*q/7 - 78.
-3*(q + 13)*(q + 14)/7
Factor 4*q**5 - 24*q**4 + 36*q**3 - 16*q**2.
4*q**2*(q - 4)*(q - 1)**2
Find k such that -7*k**5 - 23*k**4 + 29*k**3 + 31*k**2 - 22*k - 8 = 0.
-4, -1, -2/7, 1
Factor -7*o**4/5 - 128*o**3/5 - 36*o**2/5.
-o**2*(o + 18)*(7*o + 2)/5
Solve 5*z**4 - 2810*z**3 + 397605*z**2 - 786800*z + 392000 = 0 for z.
1, 280
Factor -z**3 + 266*z**2/5 - 56*z - 1664/5.
-(z - 52)*(z + 2)*(5*z - 16)/5
Suppose 2*s**5 + 238*s**4 - 242*s**3 - 238*s**2 + 240*s = 0. What is s?
-120, -1, 0, 1
Let t**4/8 + t**3 + 2*t**2 = 0. What is t?
-4, 0
Find y, given that 2*y**2 + 10*y - 352 = 0.
-16, 11
Suppose 3*b**2/5 - 24*b/5 - 12 = 0. Calculate b.
-2, 10
Factor -3*i**3/4 - 153*i**2/4 - 297*i/4 - 147/4.
-3*(i + 1)**2*(i + 49)/4
Find r such that 3249*r**4 + 1425*r**3 - 599*r**2 - 73*r - 2 = 0.
-2/3, -1/19, 1/3
Factor x**2/7 + 1080*x/7 + 291600/7.
(x + 540)**2/7
Factor 2*t**3/11 - 2*t**2/11 - 4*t/11.
2*t*(t - 2)*(t + 1)/11
Solve -12*w**4 - 626*w**3 - 8216*w**2 - 1352*w = 0 for w.
-26, -1/6, 0
Suppose 2*w**3/3 + 272*w**2/3 - 550*w/3 + 92 = 0. Calculate w.
-138, 1
Find b, given that -21*b**5 - 258*b**4 - 975*b**3 - 1518*b**2 - 948*b - 168 = 0.
-7, -2, -1, -2/7
What is l in 2*l**2/11 - 574*l/11 - 576/11 = 0?
-1, 288
Factor b**3/2 - b**2/2 - 9*b/2 + 9/2.
(b - 3)*(b - 1)*(b + 3)/2
What is r in -2*r**2 - 22*r - 20 = 0?
-10, -1
Solve -4*g**4 - 36*g**3 - 96*g**2 - 80*g = 0.
-5, -2, 0
Determine x, given that -x**3/7 + 11*x**2/7 + 2*x/7 - 120/7 = 0.
-3, 4, 10
Factor 6*r**2 - 680*r + 226.
2*(r - 113)*(3*r - 1)
Factor -2*q**2/17 - 74*q/17 - 72/17.
-2*(q + 1)*(q + 36)/17
Find d, given that 6*d**3 + 10*d**2 - 52*d + 16 = 0.
-4, 1/3, 2
Find g such that 2*g**4/9 - 110*g**3/9 + 736*g**2/3 - 18944*g/9 + 57344/9 = 0.
7, 16
Find w such that 2*w**2 - 32*w - 384 = 0.
-8, 24
Determine x, given that -3*x**2/4 + 87*x/2 + 177/4 = 0.
-1, 59
Factor f**2 + 17*f + 30.
(f + 2)*(f + 15)
Let 2*m**4/9 + 4*m**3 + 26*m**2/9 - 16*m - 136/9 = 0. Calculate m.
-17, -2, -1, 2
Let -m**3/4 + m**2 + 29*m/4 + 6 = 0. What is m?
-3, -1, 8
Factor -z**2/4 - z/4 + 3/2.
-(z - 2)*(z + 3)/4
Factor -3*k**2 - 78*k - 315.
-3*(k + 5)*(k + 21)
Factor -5*g**2 - 145*g - 270.
-5*(g + 2)*(g + 27)
Factor -h**4/3 - 4*h**3/3 + 29*h**2/3 - 8*h.
-h*(h - 3)*(h - 1)*(h + 8)/3
Suppose -2*q**5 + 6*q**4 = 0. Calculate q.
0, 3
Determine w so that w**5 - 5*w**4 - 39*w**3 + 173*w**2 + 38*w - 168 = 0.
-6, -1, 1, 4, 7
Factor -9*d**5/7 + 12*d**4/7 + 36*d**3.
-3*d**3*(d - 6)*(3*d + 14)/7
Factor d**4/4 - 11*d**3/4 - 13*d**2/2.
d**2*(d - 13)*(d + 2)/4
Factor -c**2/6 - 29*c/6 - 13.
-(c + 3)*(c + 26)/6
Factor -x**2/6 + 17*x/6 - 11.
-(x - 11)*(x - 6)/6
Let -2*t**3/9 + 940*t**2/9 = 0. What is t?
0, 470
Factor -2*q**3/15 - 46*q**2/5 - 154*q + 490/3.
-2*(q - 1)*(q + 35)**2/15
Solve 12*q**5 + 58*q**4 + 92*q**3 + 42*q**2 - 20*q - 16 = 0.
-2, -4/3, -1, 1/2
Factor 5*o**2 + 165*o - 170.
5*(o - 1)*(o + 34)
Factor -24*b**3 + 124*b**2 - 20*b.
-4*b*(b - 5)*(6*b - 1)
Determine m, given that 2*m**5 - 66*m**4 - 362*m**3 - 670*m**2 - 528*m - 152 = 0.
-2, -1, 38
Let -2*f**4/13 + 4*f**3/13 + 14*f**2/13 - 40*f/13 + 24/13 = 0. What is f?
-3, 1, 2
Factor 4*t**3 - 11496*t**2 + 8282820*t - 32947600.
4*(t - 1435)**2*(t - 4)
Factor -k**3/3 + 7*k**2 - 6*k - 40/3.
-(k - 20)*(k - 2)*(k + 1)/3
Let 4*v**5 - 248*v**4 + 940*v**3 - 680*v**2 - 944*v + 928 = 0. Calculate v.
-1, 1, 2, 58
Factor 2*b**5 - 92*b**4 + 1058*b**3.
2*b**3*(b - 23)**2
Factor 494*f**2/7 + 984*f/7 - 8/7.
2*(f + 2)*(247*f - 2)/7
What is y in 2*y**2/7 + 68*y/7 + 186/7 = 0?
-31, -3
Let -3*h**5 - 21*h**4 - 54*h**3 - 60*h**2 - 24*h = 0. Calculate h.
-2, -1, 0
Factor 2*l**3 - 36*l**2 + 22*l + 204.
2*(l - 17)*(l - 3)*(l + 2)
Factor -n**2 - 24*n + 25.
-(n - 1)*(n + 25)
Solve -c**4/3 + 7*c**3 - 49*c**2 + 343*c/3 = 0 for c.
0, 7
Factor 5*w**4/3 + 110*w**3/3 + 180*w**2 + 1000*w/3 + 640/3.
5*(w + 2)**3*(w + 16)/3
Suppose 5*t**2 + 80*t + 275 = 0. What is t?
-11, -5
Factor -2*u**2/5 - 74*u/3 - 244/15.
-2*(u + 61)*(3*u + 2)/15
Factor -c**4/2 - 6*c**3 - 35*c**2/2 + 6*c + 18.
-(c - 1)*(c + 1)*(c + 6)**2/2
Find k, given that k**3 + 5*k**2 + 8*k + 4 = 0.
-2, -1
Suppose 2*b**2 - 864*b + 93312 = 0. Calculate b.
216
Let 3*l**5/2 + 39*l**4/2 - 93*l**3 + 147*l**2 - 201*l/2 + 51/2 = 0. What is l?
-17, 1
Solve 2*b**2/3 + 3*b + 4/3 = 0 for b.
-4, -1/2
Solve -3*x**2 - 324*x - 945 = 0 for x.
-105, -3
Factor -d**5/2 + 7*d**4/2 + d**3 - 23*d**2 - 65*d/2 - 25/2.
-(d - 5)**2*(d + 1)**3/2
Suppose a**4/2 + a**3/2 - 17*a**2/2 - 21*a/2 + 18 = 0. Calculate a.
-3, 1, 4
Solve 2*t**4/9 + 14*t**3/9 + 4*t**2 + 40*t/9 + 16/9 = 0.
-2, -1
Determine f so that -3*f**2/2 - 45*f/2 - 75 = 0.
-10, -5
Solve -r**5 - 13*r**4/2 + 35*r**2/2 - 4*r - 6 = 0.
-6, -2, -1/2, 1
Solve 4*k**3/7 - 16*k**2/7 