is w in -9*w**2/8 + 95*w/2 - 21/2 = 0?
2/9, 42
Find z such that 2*z**4/5 - 76*z**3/5 - 1358*z**2/5 - 5096*z/5 = 0.
-7, 0, 52
Factor z**4/3 - 2*z**2/3 + 1/3.
(z - 1)**2*(z + 1)**2/3
Determine n so that -1125*n**5 - 5775*n**4 - 8630*n**3 - 4450*n**2 - 485*n - 15 = 0.
-3, -1, -1/15
Factor -28*c**3 + 116*c**2 + 288*c + 144.
-4*(c - 6)*(c + 1)*(7*c + 6)
Find r such that r**4/2 + 11*r**3/2 + 17*r**2/2 - 11*r/2 - 9 = 0.
-9, -2, -1, 1
Solve 4*f**4 + 8*f**3 - 48*f**2 - 72*f + 108 = 0.
-3, 1, 3
Factor r**2 + 124*r.
r*(r + 124)
Factor 2*u**2 + 10*u + 12.
2*(u + 2)*(u + 3)
Let -4*z**4/5 - 168*z**3/5 - 2404*z**2/5 - 2688*z - 5120 = 0. What is z?
-16, -5
Find f such that -15*f**5/4 + 69*f**4/4 - 24*f**3 + 9*f**2 = 0.
0, 3/5, 2
Suppose 18*v**4 - 830*v**3 - 1618*v**2 - 674*v + 96 = 0. What is v?
-1, 1/9, 48
Let a**5 - 7*a**3 - 2*a**2 + 12*a + 8 = 0. What is a?
-2, -1, 2
Find b, given that -3*b**2 - 36*b + 255 = 0.
-17, 5
Solve -50*s**2 + 154*s - 12 = 0 for s.
2/25, 3
Factor -4191*t**2/8 - 87*t + 3/2.
-3*(11*t + 2)*(127*t - 2)/8
Factor 2*h**4/15 + 12*h**3/5 + 14*h**2 + 80*h/3.
2*h*(h + 5)**2*(h + 8)/15
Factor g**2 + 8*g + 15.
(g + 3)*(g + 5)
Suppose -4*x**4/9 - 26*x**3/9 + 10*x**2/3 + 104*x/9 - 56/9 = 0. What is x?
-7, -2, 1/2, 2
Factor 2*f**2/7 - 624*f/7.
2*f*(f - 312)/7
Find k such that 2*k**4/13 - 46*k**3/13 + 42*k**2/13 + 46*k/13 - 44/13 = 0.
-1, 1, 22
Factor 2*n**4 + 24*n**3 + 86*n**2 + 120*n + 56.
2*(n + 1)*(n + 2)**2*(n + 7)
Find b such that -3*b**2 - 60*b - 288 = 0.
-12, -8
Factor z**3/4 + 41*z**2/4 + 57*z/2.
z*(z + 3)*(z + 38)/4
Factor -l**3 - 6*l**2 - 5*l.
-l*(l + 1)*(l + 5)
Factor 98*u**3/13 + 6328*u**2/13 + 3592*u/13 + 512/13.
2*(u + 64)*(7*u + 2)**2/13
Determine l so that -l**4 + 10*l**3 - 8*l**2 - 10*l + 9 = 0.
-1, 1, 9
Let 2*m**2/5 - 6*m + 72/5 = 0. What is m?
3, 12
Factor o**4 - 11*o**3 + 44*o**2 - 76*o + 48.
(o - 4)*(o - 3)*(o - 2)**2
Solve -5*g**3 - 1295*g**2 + 2650*g + 10440 = 0.
-261, -2, 4
Factor 5*y**4 + 13*y**3 - 114*y**2 - 72*y.
y*(y - 4)*(y + 6)*(5*y + 3)
Factor -2*q**2 + 74*q + 76.
-2*(q - 38)*(q + 1)
Factor -10*k**4/13 + 94*k**3/13 - 36*k**2/13.
-2*k**2*(k - 9)*(5*k - 2)/13
Factor 2*l**4 + 16*l**3 + 22*l**2 - 40*l.
2*l*(l - 1)*(l + 4)*(l + 5)
Factor 183*f**2/2 + 741*f/4 + 9/2.
3*(f + 2)*(122*f + 3)/4
Factor -x**2/5 + 19*x/5 - 48/5.
-(x - 16)*(x - 3)/5
Factor 3*g**4 + 9*g**3 - 15*g**2 - 9*g + 12.
3*(g - 1)**2*(g + 1)*(g + 4)
Find l, given that 2*l**4/15 - 4*l**3/5 + 6*l**2/5 - 8*l/15 = 0.
0, 1, 4
Suppose d**4/6 - 10*d**3/3 + 83*d**2/6 + 10*d/3 - 14 = 0. What is d?
-1, 1, 6, 14
What is f in -12*f**3 + 170*f**2 + 356*f - 64 = 0?
-2, 1/6, 16
Let 5*t**4 - 80*t**3 + 360*t**2 - 640*t + 400 = 0. Calculate t.
2, 10
Factor p**5/5 - 7*p**4/5 - p**3/5 + 7*p**2/5.
p**2*(p - 7)*(p - 1)*(p + 1)/5
Find y, given that -2*y**4/3 + 8*y**3/3 + 10*y**2/3 = 0.
-1, 0, 5
Factor -z**3 + 41*z**2 + 176*z + 180.
-(z - 45)*(z + 2)**2
Let -2*r**5/5 + 4*r**4/5 + 16*r**3/5 + 4*r**2/5 - 14*r/5 - 8/5 = 0. Calculate r.
-1, 1, 4
Find o such that -8*o**2/5 - 6622*o/5 + 1656/5 = 0.
-828, 1/4
Determine t so that -t**4 + 6*t**3 + 21*t**2 - 34*t - 48 = 0.
-3, -1, 2, 8
Solve 4*j**3 + 1444*j**2 + 131040*j + 129600 = 0.
-180, -1
Factor -5*s**2 - 130*s - 240.
-5*(s + 2)*(s + 24)
Factor 5*m**4 - 190*m**3 + 1800*m**2 + 6750*m - 118125.
5*(m - 15)**3*(m + 7)
Factor -4*x**2/5 + 24*x/5 + 32.
-4*(x - 10)*(x + 4)/5
Factor -c**2 - 28*c - 52.
-(c + 2)*(c + 26)
Determine x so that -2*x**4/13 + 88*x**3/13 - 1044*x**2/13 + 1512*x/13 + 2646/13 = 0.
-1, 3, 21
What is q in -3*q**5 + 23*q**4 - 36*q**3 - 48*q**2 + 64*q = 0?
-4/3, 0, 1, 4
Find b such that -45*b**3 - 318*b**2 - 21*b = 0.
-7, -1/15, 0
Suppose m**3/4 - 213*m**2/2 - 429*m/4 + 427/2 = 0. What is m?
-2, 1, 427
Let -2*s**3 + 368*s**2 - 1440*s = 0. What is s?
0, 4, 180
Determine v, given that 100*v**5 + 12680*v**4 + 34996*v**3 + 34336*v**2 + 13904*v + 1984 = 0.
-124, -1, -2/5
Factor -4*d**4 + 32*d**3 - 44*d**2 - 80*d.
-4*d*(d - 5)*(d - 4)*(d + 1)
Find k, given that -640*k**2 - 144*k + 4 = 0.
-1/4, 1/40
Factor -t**4/11 + 12*t**3/11 - 53*t**2/11 + 102*t/11 - 72/11.
-(t - 4)*(t - 3)**2*(t - 2)/11
Factor 17*q**2/5 + 376*q/5 + 44/5.
(q + 22)*(17*q + 2)/5
Determine a, given that 124*a**4 - 4*a**3 - 496*a**2 + 16*a = 0.
-2, 0, 1/31, 2
What is l in 3*l**2/4 + 69*l/4 = 0?
-23, 0
Suppose -5*c**5/3 - 223*c**4/6 - 286*c**3 - 5135*c**2/6 - 2296*c/3 - 160 = 0. Calculate c.
-8, -5, -1, -3/10
What is h in -2*h**5 + 78*h**4 - 870*h**3 + 2162*h**2 - 2016*h + 648 = 0?
1, 18
What is r in -13*r**3/2 - 222*r**2 - 3825*r/2 - 289 = 0?
-17, -2/13
What is n in -700*n**5/9 + 10760*n**4/3 - 333608*n**3/9 - 883984*n**2/9 - 211508*n/3 - 117128/9 = 0?
-1, -2/7, 121/5
Factor -2*n**5/3 - 10*n**4 + 48*n**3 - 152*n**2/3.
-2*n**2*(n - 2)**2*(n + 19)/3
Factor 2*a**3 + 970*a**2/9 + 1446*a - 162.
2*(a + 27)**2*(9*a - 1)/9
Determine a so that -4*a**3 - 36*a**2 = 0.
-9, 0
Let a**2/3 - 770*a + 444675 = 0. Calculate a.
1155
Suppose -2*f**5/7 - 340*f**4/7 - 656*f**3/7 + 2724*f**2/7 + 6066*f/7 + 432 = 0. Calculate f.
-168, -3, -1, 3
Let 3*z**4 + 78*z**3 - 348*z**2 + 360*z = 0. What is z?
-30, 0, 2
Determine g, given that g**2/7 - g/7 - 6/7 = 0.
-2, 3
Factor 2*s**3/3 + 172*s**2 + 170*s - 1028/3.
2*(s - 1)*(s + 2)*(s + 257)/3
Factor -4*v**3 + 28*v + 24.
-4*(v - 3)*(v + 1)*(v + 2)
Find c, given that 20*c**3 + 1372*c**2 + 808*c - 544 = 0.
-68, -1, 2/5
Factor 2*m**2 - 54*m.
2*m*(m - 27)
Determine a so that 2*a**2/7 - 24*a + 504 = 0.
42
Factor -9*u**3/4 + 2040*u**2 - 1857733*u/4 + 1841449/2.
-(u - 2)*(3*u - 1357)**2/4
Determine o so that 5*o**3 - 1340*o - 5040 = 0.
-14, -4, 18
Factor 4*i**3/5 - 472*i**2/5 + 12932*i/5 + 59536/5.
4*(i - 61)**2*(i + 4)/5
Determine q, given that 4*q**3 - 148*q**2 + 144*q = 0.
0, 1, 36
Factor 2*i**2/13 - 6*i/13 - 56/13.
2*(i - 7)*(i + 4)/13
Let 4*t**5 + 84*t**4 + 536*t**3 + 888*t**2 - 540*t - 972 = 0. Calculate t.
-9, -3, -1, 1
Solve 2*z**3 + 22*z**2 + 70*z + 50 = 0.
-5, -1
Solve 3*s**4/8 + 24*s**3 + 1077*s**2/8 + 483*s/2 + 261/2 = 0.
-58, -3, -2, -1
Find s, given that 5*s**5 + 10*s**4 + 5*s**3 = 0.
-1, 0
Factor -r**2 - 21*r - 68.
-(r + 4)*(r + 17)
Let -z**2 + 166*z - 328 = 0. Calculate z.
2, 164
Factor -3*r**3 - 15*r**2 - 12*r.
-3*r*(r + 1)*(r + 4)
Determine g, given that 4*g**3 + 212*g**2 - 216*g = 0.
-54, 0, 1
Factor 2*s**2/7 + 326*s/7.
2*s*(s + 163)/7
Factor -2*f**5/5 + 18*f**4/5 - 6*f**3 + 14*f**2/5.
-2*f**2*(f - 7)*(f - 1)**2/5
Factor 3*q**2/2 - 42*q + 78.
3*(q - 26)*(q - 2)/2
Suppose -2*k**4 + 26*k**3 - 66*k**2 + 62*k - 20 = 0. What is k?
1, 10
Let 25*t**4 + 120*t**3 - 535*t**2 + 390*t = 0. Calculate t.
-39/5, 0, 1, 2
Solve -3*a**2/7 + 48*a/7 - 12 = 0 for a.
2, 14
Find m, given that -2*m**3/5 - 2068*m**2/5 - 534578*m/5 = 0.
-517, 0
Factor p**3/5 - 26*p**2/5 - 87*p/5.
p*(p - 29)*(p + 3)/5
Determine l so that -l**2/4 - 17*l/4 + 42 = 0.
-24, 7
Factor x**2 - 5*x - 6.
(x - 6)*(x + 1)
Factor c**4/2 + 15*c**3/2 + 21*c**2 - 80*c - 192.
(c - 3)*(c + 2)*(c + 8)**2/2
Suppose -15*t**3 + 99*t**2 + 51*t - 63 = 0. Calculate t.
-1, 3/5, 7
What is s in 2*s**5/3 + 10*s**4/3 + 10*s**3/3 - 10*s**2/3 - 4*s = 0?
-3, -2, -1, 0, 1
Factor 2*y**3/3 - 2*y**2 + 4*y/3.
2*y*(y - 2)*(y - 1)/3
Solve 5*g**5 + 2*g**4 - 15*g**3 + 4*g**2 + 4*g = 0 for g.
-2, -2/5, 0, 1
Find n such that -3*n**3/5 - 78*n**2/5 + 3*n/5 + 78/5 = 0.
-26, -1, 1
Solve o**3/4 - o**2 - 5*o/4 = 0 for o.
-1, 0, 5
Suppose t**5/2 + 131*t**4/4 + 528*t**3 - 1089*t**2/4 = 0. Calculate t.
-33, 0, 1/2
Determine b so that 2*b**4 - 8*b**3 + 6*b**2 + 8*b - 8 = 0.
-1, 1, 2
Find l such that -20*l**2 - 948*l + 576 = 0.
-48, 3/5
Factor 2*v**5/9 + 38*v**4/9 + 22*v**3 + 18*v**2.
2*v**2*(v + 1)*(v + 9)**2/9
Determine j, given that -4*j**5 + 246*j**4 - 360*j**3 - 2*j**2 + 120*j = 0.
-1/2, 0, 1, 60
Solve 5*f**4 + 5*f**3 - 10*f**2 = 0.
-2, 0, 1
Factor 2*b**4 + 20*b**3 - 78*b**2 - 992*b - 896.
2*(b - 7)*(b + 1)*(b + 8)**2
Determine f, given that 28*f**4/3 + 232*f**3/3 - 244*f**2/3 - 592*f/3 - 48 = 0.
-9, -1, -2/7, 2
Find c such that -c**2/3 - 75*c - 884/3 = 0.
-221, -4
Factor -2*p**2/21 - 2*p.
-2*p*(p + 21)/21
What is q in -2*q**3/13 + 2*q**2/13 + 8*q/13 - 8/13 = 0?
-2, 1, 2
Solve -s**5 + 281*s**4 - 22654*s**3 + 124110*s**2 + 29800575*s + 334553625 = 0.
-17, 105
Factor 5*x**3 - 75*x**2 + 360*x - 540.
5*(x - 6)**2*(x - 3)
Factor 2*x