**4 + 216*m**3 - 224*m**2 + 76*m = 0 for m.
-19, 0, 1
Solve -n**4/5 - 18*n**3/5 - 49*n**2/5 + 288*n/5 - 44 = 0 for n.
-11, -10, 1, 2
Factor -x**3/2 + 190*x**2 - 35717*x/2 - 36481.
-(x - 191)**2*(x + 2)/2
Factor -p**4/4 - 5*p**3/4 + 3*p**2/4 + 45*p/4 + 27/2.
-(p - 3)*(p + 2)*(p + 3)**2/4
Factor -v**2/2 + v - 1/2.
-(v - 1)**2/2
Let -26*w**3 - 294*w**2 - 348*w - 80 = 0. Calculate w.
-10, -1, -4/13
Find y such that -2*y**5 - 3024*y**4 - 1524094*y**3 - 256045104*y**2 + 1524096*y + 256048128 = 0.
-504, -1, 1
Determine p so that 3*p**2/2 + 165*p/2 + 81 = 0.
-54, -1
Find x, given that -x**2/4 + 6*x - 36 = 0.
12
Factor -343*f**5 - 10780*f**4 - 69895*f**3 + 229410*f**2 - 211140*f + 62424.
-(f + 17)**2*(7*f - 6)**3
Suppose -4*b**5 - 12*b**4/7 + 156*b**3/7 - 164*b**2/7 + 48*b/7 = 0. What is b?
-3, 0, 4/7, 1
Factor 2*m**4 - 14*m**3 - 40*m**2 + 264*m + 288.
2*(m - 6)**2*(m + 1)*(m + 4)
Factor n**2 - 771*n - 772.
(n - 772)*(n + 1)
Factor -3*c**3/2 - 54*c**2 - 360*c + 2400.
-3*(c - 4)*(c + 20)**2/2
Find z such that 5*z**5 + 140*z**4 + 1135*z**3 + 2500*z**2 + 1500*z = 0.
-15, -10, -2, -1, 0
Factor u**3/12 - 3*u**2/2 + 9*u - 18.
(u - 6)**3/12
Factor -4*k**2 - 112*k + 372.
-4*(k - 3)*(k + 31)
Find k such that -k**2/4 - 7*k/4 + 345/2 = 0.
-30, 23
Find h, given that -2*h**2 + 30*h + 108 = 0.
-3, 18
Suppose 3*w**2 - 78*w - 168 = 0. Calculate w.
-2, 28
Let 5*j**4 - 50*j**3 + 45*j**2 = 0. What is j?
0, 1, 9
Suppose -n**5 + 18*n**4 - 74*n**3 + 124*n**2 - 93*n + 26 = 0. Calculate n.
1, 2, 13
Suppose -2*m**2/21 - 4*m/21 + 2/7 = 0. Calculate m.
-3, 1
Suppose 27*z**5 + 45*z**4 - 438*z**3 + 102*z**2 + 219*z + 45 = 0. Calculate z.
-5, -1/3, 1, 3
Suppose 3*k**2/5 + 9*k/5 - 1254/5 = 0. Calculate k.
-22, 19
Let -15*n**5/4 + 1565*n**4/4 + 1065*n**3/4 - 1565*n**2/4 - 525*n/2 = 0. Calculate n.
-1, -2/3, 0, 1, 105
Solve m**3 - 2*m**2 - m + 2 = 0 for m.
-1, 1, 2
Factor -154*k**2 - 9706*k - 252.
-2*(k + 63)*(77*k + 2)
Let 6*p**5/11 + 20*p**4/11 - 844*p**3/11 - 2688*p**2/11 + 18198*p/11 - 972 = 0. What is p?
-9, 2/3, 3, 11
Find j such that -3*j**5 + 3252*j**4 - 881292*j**3 = 0.
0, 542
Let -2*s**4/11 - 46*s**3/11 + 98*s**2/11 - 50*s/11 = 0. Calculate s.
-25, 0, 1
Suppose -3*c**4/5 - 6*c**3 - 21*c**2/5 + 54*c/5 = 0. Calculate c.
-9, -2, 0, 1
Factor 2*x**2/15 + 16*x/5 + 72/5.
2*(x + 6)*(x + 18)/15
Factor 32*t**3/3 + 124*t**2 + 336*t - 144.
4*(t + 6)**2*(8*t - 3)/3
Factor -y**4/3 + 5*y**3 + 79*y**2/3 - 13*y - 114.
-(y - 19)*(y - 2)*(y + 3)**2/3
Factor 2*q**2 + 3184*q + 1267232.
2*(q + 796)**2
Suppose 3*j**3/2 - 387*j**2/2 + 16641*j/2 - 238521/2 = 0. Calculate j.
43
Factor -9*l**5 - 28221*l**4 - 29503486*l**3 - 10290154710*l**2 - 6850272825*l - 1141166125.
-(l + 1045)**3*(3*l + 1)**2
Factor 4*t**3/3 - 556*t**2/3 + 3664*t/3 + 1408.
4*(t - 132)*(t - 8)*(t + 1)/3
Determine d, given that 19*d**5 - 1233*d**4 + 19307*d**3 + 22737*d**2 + 2178*d = 0.
-1, -2/19, 0, 33
Factor -4*g**2 - 48*g - 140.
-4*(g + 5)*(g + 7)
Solve 165*y**3 - 816*y**2 - 45*y = 0.
-3/55, 0, 5
Factor o**3 + o**2 - 6*o.
o*(o - 2)*(o + 3)
Factor 4*z**3 - 60*z**2 - 288*z - 304.
4*(z - 19)*(z + 2)**2
Find i such that 2*i**4/3 + 2*i**3/5 - 174*i**2/5 - 134*i/3 + 280 = 0.
-5, 12/5, 7
What is w in -3*w**2 - 468*w - 18252 = 0?
-78
Determine v, given that -2*v**2 + 19624*v - 48137672 = 0.
4906
Suppose -7*p**4/3 + 100*p**3/3 + 217*p**2/3 - 406*p/3 + 32 = 0. What is p?
-3, 2/7, 1, 16
Factor -4*d**2 - 20*d + 24.
-4*(d - 1)*(d + 6)
Factor -2*j**2/11 - 54*j/11 - 32.
-2*(j + 11)*(j + 16)/11
Factor -2*y**2/7 - 2928*y/7 - 1071648/7.
-2*(y + 732)**2/7
Find a such that a**2/2 - a - 4 = 0.
-2, 4
Factor -m**4 - 19*m**3 + 693*m**2 - 5537*m + 13720.
-(m - 7)**3*(m + 40)
Factor r**5/6 + 3*r**4/2 + 7*r**3/2 + 19*r**2/6 + r.
r*(r + 1)**3*(r + 6)/6
Let 4*y**4 + 16*y**3 = 0. Calculate y.
-4, 0
Factor 2*a**2 + 34*a + 84.
2*(a + 3)*(a + 14)
Suppose 4*t**2/3 + 3496*t/3 + 763876/3 = 0. Calculate t.
-437
Factor -j**2 - 13*j - 40.
-(j + 5)*(j + 8)
Factor r**5/2 - r**4/2 - 33*r**3/2 - 63*r**2/2.
r**2*(r - 7)*(r + 3)**2/2
Factor -x**4/6 - 5*x**3/6 + 101*x**2/6 + 71*x/2 + 18.
-(x - 9)*(x + 1)**2*(x + 12)/6
Let -n**4/2 - 11*n**3 + n**2/2 + 11*n = 0. Calculate n.
-22, -1, 0, 1
Factor -2*u**3/3 - 10*u**2/3 + 176*u/3 - 416/3.
-2*(u - 4)**2*(u + 13)/3
Factor 8*u**2 + 4390*u - 1098.
2*(u + 549)*(4*u - 1)
Factor -8*j**2/23 - 218*j/23 + 168/23.
-2*(j + 28)*(4*j - 3)/23
Factor 22*z**2 + 122*z + 168.
2*(z + 3)*(11*z + 28)
Factor -d**2 + 23*d + 24.
-(d - 24)*(d + 1)
Let 32*j**4/5 - 1488*j**3/5 + 14914*j**2/5 + 55638*j/5 + 39204/5 = 0. Calculate j.
-2, -1, 99/4
Factor -q**3/2 - 7*q**2 - 49*q/2.
-q*(q + 7)**2/2
Suppose -28*q**3 - 52*q**2 - 20*q + 4 = 0. Calculate q.
-1, 1/7
Determine w so that -w**3/4 + 13*w**2/4 - 10*w = 0.
0, 5, 8
Factor -h**2/2 - 159*h/2.
-h*(h + 159)/2
Factor 5*k**3 - 10*k**2 - 20*k + 40.
5*(k - 2)**2*(k + 2)
Let -4*h**2/7 + 1376*h/7 - 2736/7 = 0. Calculate h.
2, 342
Solve -2*v**4/3 + 10*v**3/3 + 10*v**2 - 10*v/3 - 28/3 = 0 for v.
-2, -1, 1, 7
Solve -4*w**2 - 13336*w - 11115556 = 0 for w.
-1667
What is p in 4*p**2/7 - 4*p/7 - 24 = 0?
-6, 7
Solve 2*x**2/5 - 54*x/5 = 0 for x.
0, 27
Determine d, given that -d**5/7 - 10*d**4/7 + 15*d**3/7 + 160*d**2/7 + 76*d/7 - 240/7 = 0.
-10, -3, -2, 1, 4
Factor -3*c**3 + 1458*c**2 + 2925*c + 1464.
-3*(c - 488)*(c + 1)**2
Factor -2*o**4/7 - 8*o**3/7 + 58*o**2 - 252*o.
-2*o*(o - 7)**2*(o + 18)/7
What is h in -2*h**3 - 182*h**2 - 176*h + 360 = 0?
-90, -2, 1
Suppose -1988018*t**2 + 7976*t - 8 = 0. Calculate t.
2/997
Factor -361*w**4 - 760*w**3 - 438*w**2 - 40*w - 1.
-(w + 1)**2*(19*w + 1)**2
Find c such that 2*c**4/9 + 2*c**3/9 - 2*c**2 + 22*c/9 - 8/9 = 0.
-4, 1
Find l, given that 2*l**4/9 - 124*l**3/3 - 2*l**2/3 + 1120*l/9 - 248/3 = 0.
-2, 1, 186
Suppose 2*q**3/13 + 6*q**2/13 + 4*q/13 = 0. What is q?
-2, -1, 0
Suppose -2*i**2/5 - 118*i/5 + 372/5 = 0. Calculate i.
-62, 3
Factor q**5 + 8*q**4 - 90*q**3 + 216*q**2 - 135*q.
q*(q - 3)**2*(q - 1)*(q + 15)
Find u such that -3*u**3 + 63*u**2 + 138*u = 0.
-2, 0, 23
Suppose 150*u**4/11 - 5400*u**3/11 - 5574*u**2/11 + 864*u/11 + 888/11 = 0. What is u?
-1, -2/5, 2/5, 37
Determine c so that -2*c**5 - 11*c**4/2 + 7*c**3/2 + 11*c**2/2 - 3*c/2 = 0.
-3, -1, 0, 1/4, 1
Factor p**2/4 - 9*p/2 + 14.
(p - 14)*(p - 4)/4
Factor x**5/2 - x**4/2 - x**3.
x**3*(x - 2)*(x + 1)/2
Factor -m**5 + 7*m**4 - 12*m**3 - 16*m**2 + 64*m - 48.
-(m - 3)*(m - 2)**3*(m + 2)
Suppose 18*w**4 + 12*w**3 - 22*w**2 - 8*w + 8 = 0. What is w?
-1, 2/3
Factor -2*y**2 - 3640*y - 1656200.
-2*(y + 910)**2
What is l in -2*l**3/3 - 44*l**2/3 + 2*l/3 + 44/3 = 0?
-22, -1, 1
Factor -2*x**3/7 - 6*x**2 - 78*x/7 + 1690/7.
-2*(x - 5)*(x + 13)**2/7
Factor 5*n**3 - 50*n**2 - 260*n - 280.
5*(n - 14)*(n + 2)**2
Factor -2*m**3/17 - 26*m**2/17 - 38*m/17 + 66/17.
-2*(m - 1)*(m + 3)*(m + 11)/17
Suppose 2*u**4 - 12*u**3 - 126*u**2 - 216*u = 0. Calculate u.
-3, 0, 12
What is p in -4*p**4 + 32*p**3 - 32*p**2 - 128*p + 192 = 0?
-2, 2, 6
Factor 2*u**2 + 2300*u.
2*u*(u + 1150)
Let 20*j**5 - 152*j**4 + 156*j**3 + 248*j**2 - 176*j - 96 = 0. What is j?
-1, -2/5, 1, 2, 6
Find s such that -s**5/6 - 2*s**4/3 + 5*s**2/3 + s/6 - 1 = 0.
-3, -2, -1, 1
Factor 3*x**4 + 18*x**3 - 66*x + 45.
3*(x - 1)**2*(x + 3)*(x + 5)
Suppose 2*f**2 + 22*f + 20 = 0. What is f?
-10, -1
Find d such that -d**2/4 + 107*d/2 - 11449/4 = 0.
107
Factor 21*a**3 - 480*a**2 + 837*a - 378.
3*(a - 21)*(a - 1)*(7*a - 6)
Factor c**4 - 10*c**3 + 29*c**2 - 32*c + 12.
(c - 6)*(c - 2)*(c - 1)**2
Let -4*h**2/7 - 312*h/7 - 1460/7 = 0. Calculate h.
-73, -5
Find z such that 14*z**4/23 + 4*z**3/23 - 42*z**2/23 - 40*z/23 - 8/23 = 0.
-1, -2/7, 2
Factor 3*o**5/7 + 153*o**4/7 + 2169*o**3/7 + 5619*o**2/7 + 5328*o/7 + 1728/7.
3*(o + 1)**3*(o + 24)**2/7
Solve 2*p**3/7 + 150*p**2/7 + 3750*p/7 + 31250/7 = 0.
-25
What is n in -648*n**3/19 - 7002*n**2/19 + 3208*n/19 - 360/19 = 0?
-45/4, 2/9
Find x, given that -2*x**2 + 30*x - 72 = 0.
3, 12
What is v in 2*v**2/5 - 74*v - 748/5 = 0?
-2, 187
Factor -3*h**2 + 390*h - 12675.
-3*(h - 65)**2
Let 2*g**5/7 + 2*g**4/7 - 4*g**3/7 = 0. Calculate g.
-2, 0, 1
Factor 2*d**2/5 + 118*d/5 - 24.
2*(d - 1)*(d + 60)/5
Solve -2*n**3/19 - 162*n**2/19 + 2*n/19 + 162/19 = 0 for n.
-81, -1, 1
Factor -405*w**5 - 1890*w**4 - 3240*w**3 - 2640*w**2 - 1040*w - 160.
-5*(w + 2)*(3*w + 2)**4
Sup