r -2*a**3 + 10*a**2 + 28*a.
-2*a*(a - 7)*(a + 2)
Suppose -21*h**2/4 + 54*h - 135 = 0. Calculate h.
30/7, 6
Factor -3*b**3/7 - 33*b**2/7 + 354*b/7 + 816/7.
-3*(b - 8)*(b + 2)*(b + 17)/7
Factor 5*v**4 + 35*v**3 + 80*v**2 + 60*v.
5*v*(v + 2)**2*(v + 3)
Suppose -3*m**3 - 213*m**2 - 414*m = 0. Calculate m.
-69, -2, 0
Factor -t**3 - 53*t**2 - 52*t.
-t*(t + 1)*(t + 52)
What is f in -4*f**4 - 120*f**3 - 708*f**2 + 1792*f - 960 = 0?
-20, -12, 1
Factor 2*s**4 - 32*s**3 + 122*s**2 - 132*s.
2*s*(s - 11)*(s - 3)*(s - 2)
Determine q so that 3*q**2 - 6*q - 24 = 0.
-2, 4
Factor 2*b**5/5 - 20*b**4 + 1346*b**3/5 - 480*b**2 + 1152*b/5.
2*b*(b - 24)**2*(b - 1)**2/5
Factor -4*s**4 - 124*s**3 - 116*s**2 + 124*s + 120.
-4*(s - 1)*(s + 1)**2*(s + 30)
Factor -t**2/12 - 23*t/3 - 529/3.
-(t + 46)**2/12
Let -22*p**2/23 + 204*p/23 + 160/23 = 0. What is p?
-8/11, 10
Suppose v**4 - 5*v**3 + 6*v**2 = 0. Calculate v.
0, 2, 3
Suppose y**3/9 + 431*y**2 + 1254533*y/3 + 3759721/9 = 0. What is y?
-1939, -1
Factor 4*i**4 - 44*i**3 + 96*i**2 + 16*i - 128.
4*(i - 8)*(i - 2)**2*(i + 1)
What is w in 8*w**5/7 - 10*w**4/7 - 2*w**3 + 4*w**2/7 = 0?
-1, 0, 1/4, 2
Solve 9*l**3 - 996*l**2 - 1341*l - 336 = 0.
-1, -1/3, 112
Factor -20*u**3 - 236*u**2 + 48*u.
-4*u*(u + 12)*(5*u - 1)
Factor -243*q**2 + 249*q - 6.
-3*(q - 1)*(81*q - 2)
Factor b**4/2 + 7*b**3/2 - 37*b**2/2 - 175*b/2 + 294.
(b - 4)*(b - 3)*(b + 7)**2/2
Factor 5*i**3 - 190*i**2 + 1600*i + 4000.
5*(i - 20)**2*(i + 2)
Determine g so that -2*g**4/17 - 28*g**3/17 + 176*g**2/17 - 260*g/17 + 114/17 = 0.
-19, 1, 3
Determine s, given that -s**5/4 - 35*s**4 - 1879*s**3/2 + 21329*s**2 + 88935*s/4 = 0.
-77, -1, 0, 15
Solve 6*l**4/7 + 328*l**3/7 + 4588*l**2/7 + 2808*l/7 - 1458/7 = 0.
-27, -1, 1/3
Factor r**3/4 + 399*r**2/4 + 38367*r/4 - 288463/4.
(r - 7)*(r + 203)**2/4
Factor z**4/5 - 6*z**3/5 - z**2/5 + 6*z/5.
z*(z - 6)*(z - 1)*(z + 1)/5
Factor -f**2 + 5028*f - 6320196.
-(f - 2514)**2
Suppose -2*w**2 + 2412*w - 7218 = 0. Calculate w.
3, 1203
Factor 3*n**5/8 - 3*n**4/8 - 3*n**3/8 + 3*n**2/8.
3*n**2*(n - 1)**2*(n + 1)/8
What is f in -4*f**5 - 848*f**4 + 12*f**3 + 2536*f**2 - 1696*f = 0?
-212, -2, 0, 1
Find c such that c**5/10 - 3*c**4/5 + c**3/2 = 0.
0, 1, 5
Determine r, given that -2*r**5/7 + 34*r**4/7 + 204*r**3/7 - 1880*r**2/7 + 592*r - 2880/7 = 0.
-9, 2, 20
Factor 3*r**2 - 60*r.
3*r*(r - 20)
Suppose -n**2/9 + 62*n/9 = 0. What is n?
0, 62
Suppose -2*z**3 - 2*z**2 + 2*z + 2 = 0. Calculate z.
-1, 1
Suppose 3*c**3/4 + 7629*c**2/4 + 4853949*c/4 + 4846323/4 = 0. Calculate c.
-1271, -1
Find l such that -2*l**2 - 2*l + 24 = 0.
-4, 3
Factor 3*w**5 + 3*w**4 - 12*w**3 - 12*w**2.
3*w**2*(w - 2)*(w + 1)*(w + 2)
Find l, given that l**3/5 - 66*l**2/5 + 129*l/5 - 64/5 = 0.
1, 64
Solve -2*g**5 + 260*g**4 - 8448*g**3 - 260*g**2 + 8450*g = 0.
-1, 0, 1, 65
Factor -w**2 - 33*w - 230.
-(w + 10)*(w + 23)
Determine n, given that 4*n**2/3 - 70*n/3 = 0.
0, 35/2
Factor 5*l**3/4 - 225*l**2/2.
5*l**2*(l - 90)/4
Factor v**2 - 6*v.
v*(v - 6)
Factor 675*x**4 - 4185*x**3 + 819*x**2 - 271*x/5 + 6/5.
(x - 6)*(15*x - 1)**3/5
Factor 3*j**5/4 + 90*j**4 + 2700*j**3.
3*j**3*(j + 60)**2/4
What is k in -2*k**3/21 + 1954*k**2/21 - 3890*k/7 + 5826/7 = 0?
3, 971
Factor -2*k**4/3 + 4*k**2/3 - 2/3.
-2*(k - 1)**2*(k + 1)**2/3
Factor -2*s**4/23 + 20*s**3/23 + 22*s**2/23.
-2*s**2*(s - 11)*(s + 1)/23
Solve 3*a**4/2 - 10*a**3 + 29*a**2/2 + 6*a = 0.
-1/3, 0, 3, 4
Determine d so that -d**3/4 - 13*d**2/2 + 46*d - 64 = 0.
-32, 2, 4
Factor u**3/4 + u**2 - u - 4.
(u - 2)*(u + 2)*(u + 4)/4
Determine q, given that -4*q**2 + 1964*q + 3944 = 0.
-2, 493
Determine k so that 5*k**2 + 2195*k + 4370 = 0.
-437, -2
Solve -t**3/10 - 2394*t**2/5 - 3820824*t/5 - 2032678368/5 = 0.
-1596
Factor 3*o**3 + 129*o**2 + 249*o + 123.
3*(o + 1)**2*(o + 41)
Find b, given that 28*b**5 - 1016*b**4 + 240*b**3 + 1736*b**2 - 268*b - 720 = 0.
-1, -5/7, 1, 36
Find d such that -4*d**4 - 88*d**3 - 84*d**2 = 0.
-21, -1, 0
Solve 2*u**3/11 - 14*u**2/11 + 12*u/11 = 0 for u.
0, 1, 6
Factor 2*k**3 - 28*k**2 - 240*k.
2*k*(k - 20)*(k + 6)
Factor -3*p**5 - 252*p**4 - 6786*p**3 - 50460*p**2 + 219501*p.
-3*p*(p - 3)*(p + 29)**3
Let -5*b**5/4 + 85*b**4/4 + 95*b**3/2 + 5*b**2/2 - 185*b/4 - 95/4 = 0. Calculate b.
-1, 1, 19
Determine n so that -n**3 + 285*n**2 + 573*n + 287 = 0.
-1, 287
Determine d, given that d**4 + 23*d**3 - 25*d**2 - 23*d + 24 = 0.
-24, -1, 1
Factor w**2/3 + 38*w/3 - 160.
(w - 10)*(w + 48)/3
Determine q so that -2*q**2 - 162*q + 164 = 0.
-82, 1
Factor 2*u**2/3 - 7628*u/3 - 7630/3.
2*(u - 3815)*(u + 1)/3
What is g in 2*g**2/3 + 68*g + 384 = 0?
-96, -6
Solve -5*o**2 + 1235*o - 1230 = 0 for o.
1, 246
Determine b, given that b**2/11 + 2*b/11 - 8/11 = 0.
-4, 2
Find r such that 3*r**5/5 + 12*r**4/5 + 9*r**3/5 - 12*r**2/5 - 12*r/5 = 0.
-2, -1, 0, 1
Determine o, given that 10*o**3 + 1157*o**2/2 + 8323*o - 2523/2 = 0.
-29, 3/20
Find l such that -4*l**4 - 32*l**3 - 28*l**2 = 0.
-7, -1, 0
Factor -4*i**2 + 5504*i.
-4*i*(i - 1376)
Solve 2*f**4/7 - 20*f**3 + 350*f**2 = 0 for f.
0, 35
Factor d**3/4 + 15*d**2/4 + d/2 - 78.
(d - 4)*(d + 6)*(d + 13)/4
What is a in 3*a**2/4 - 57*a/4 - 162 = 0?
-8, 27
Factor 4*y**2 - 772*y.
4*y*(y - 193)
Factor -x**3 + 4*x**2 - 4*x.
-x*(x - 2)**2
Suppose 28*n**4/5 - 83*n**3/5 - 3*n**2/5 = 0. What is n?
-1/28, 0, 3
Factor j**5/2 + 5*j**4 + 12*j**3 - 5*j**2 - 25*j/2.
j*(j - 1)*(j + 1)*(j + 5)**2/2
Factor -2*q**2/9 + 100*q/3 - 1250.
-2*(q - 75)**2/9
Let 5*m**4 + 205*m**3 + 2200*m**2 + 2000*m = 0. What is m?
-20, -1, 0
Suppose -2*q**2 - 16*q + 66 = 0. What is q?
-11, 3
Factor -2*j**3/11 - 74*j**2/11 + 14*j - 78/11.
-2*(j - 1)**2*(j + 39)/11
What is w in 5*w**5 - 80*w**4 + 395*w**3 - 420*w**2 - 900*w = 0?
-1, 0, 5, 6
Let 2*n**4 + 16*n**3 - 256*n - 512 = 0. Calculate n.
-4, 4
Find l such that 5*l**4 - 100*l**3 + 500*l**2 = 0.
0, 10
Determine t so that 2*t**2/9 - 2*t/9 - 16 = 0.
-8, 9
Find p, given that 10*p**5 + 635*p**4 + 10180*p**3 + 61390*p**2 + 114170*p - 73745 = 0.
-43, -7, 1/2
Factor -5*a**2 + 7100*a - 2520500.
-5*(a - 710)**2
Determine v, given that 9*v**4/4 + 40*v**3 + 207*v**2 + 240*v - 64 = 0.
-8, -2, 2/9
Factor -5*n**4 - 10*n**3 - 5*n**2.
-5*n**2*(n + 1)**2
Factor q**2 - 9*q - 22.
(q - 11)*(q + 2)
Let -195*w**3 + 790*w**2 - 820*w + 40 = 0. Calculate w.
2/39, 2
Find v such that 3*v**4/2 - 963*v**3/2 + 39816*v**2 - 187230*v = 0.
0, 5, 158
Factor 2*x**2 + 872*x + 6006.
2*(x + 7)*(x + 429)
Factor -2*l**3/11 - 326*l**2/11 + 658*l/11 - 30.
-2*(l - 1)**2*(l + 165)/11
Factor -b**4/5 - 8*b**3/5 - 12*b**2/5.
-b**2*(b + 2)*(b + 6)/5
Let -15*v**3 - 54640*v**2 - 49777035*v - 33160410 = 0. Calculate v.
-1821, -2/3
Let -u**2 + 70*u + 539 = 0. What is u?
-7, 77
Determine k so that 55*k**4/6 + 23*k**3/6 - 14*k**2/3 + 2*k/3 = 0.
-1, 0, 2/11, 2/5
Factor 30*p**2 - 34*p + 4.
2*(p - 1)*(15*p - 2)
What is y in 5*y**4 - 15*y**3 = 0?
0, 3
Suppose -b**5/3 + 2*b**4/3 + 4*b**3/3 - 2*b**2/3 - b = 0. Calculate b.
-1, 0, 1, 3
Factor -14*o**3 + 28106*o**2 - 112400*o/7 + 16056/7.
-2*(o - 2007)*(7*o - 2)**2/7
Suppose 3*b**2 - 66*b + 63 = 0. Calculate b.
1, 21
Find y such that -y**5/2 + y**4/2 + 17*y**3/2 - 17*y**2/2 - 8*y + 8 = 0.
-4, -1, 1, 4
Factor -2*y**5/5 - 136*y**4/5 + 138*y**3/5.
-2*y**3*(y - 1)*(y + 69)/5
Factor 4*y**3 + 2072*y**2 + 270384*y + 532512.
4*(y + 2)*(y + 258)**2
Let -3*v**3 - 27*v**2 - 42*v = 0. What is v?
-7, -2, 0
Suppose -2*x**5/11 - 90*x**4/11 - 466*x**3/11 + 90*x**2/11 + 468*x/11 = 0. Calculate x.
-39, -6, -1, 0, 1
Find g such that -2*g**5 + 10*g**4 + 12*g**3 - 44*g**2 - 74*g - 30 = 0.
-1, 3, 5
Solve 4*z**4/5 - 104*z**3/5 - 1204*z**2/5 - 392*z = 0 for z.
-7, -2, 0, 35
Solve -180*h**4 + 775*h**3 + 605*h**2 + 100*h = 0.
-4/9, -1/4, 0, 5
Solve -5*i**2/4 + 2425*i - 1176125 = 0.
970
Solve 2*z**2/9 + 31400*z/9 + 123245000/9 = 0.
-7850
Factor 5*j**3 - 15*j**2 - 5*j + 15.
5*(j - 3)*(j - 1)*(j + 1)
Factor 5*d**4 - 105*d**3 + 195*d**2 - 95*d.
5*d*(d - 19)*(d - 1)**2
Factor -c**5 - 24*c**4 - 85*c**3 - 102*c**2 - 40*c.
-c*(c + 1)**2*(c + 2)*(c + 20)
Factor -4*b**2 - 196*b - 376.
-4*(b + 2)*(b + 47)
Solve 2*p**4 - 132*p**3 + 130*p**2 = 0.
0, 1, 65
Factor 5*p**4 + 7*p**3 + 2*p**2.
p**2*(p + 1)*(5*p + 2)
Find h such that h**5/4 + 61*h**4/4 - 7*h**3/4 - 421*h**2/4 + 183*h/2 = 0.
-61, -3, 0, 1, 2
Find p such that 4*p**5/3 - 48*p*