**2 - 4956*y - 3528.
-(y - 21)**2*(y + 2)**3
Determine w so that -2*w**3/7 - 108*w**2/7 + 110*w/7 = 0.
-55, 0, 1
Factor 6*n**3/7 - 48*n**2/7 - 114*n/7 - 60/7.
6*(n - 10)*(n + 1)**2/7
Let -75*f**2 - 995*f + 410 = 0. Calculate f.
-41/3, 2/5
Factor -5*h**2 - 540*h - 14580.
-5*(h + 54)**2
Suppose 2*p**4/3 - 2*p**3/3 - 8*p**2 - 8*p/3 + 32/3 = 0. Calculate p.
-2, 1, 4
Solve -2*z**4 - 54*z**3 + 126*z**2 + 278*z - 348 = 0.
-29, -2, 1, 3
Suppose f**2 - 30*f - 31 = 0. Calculate f.
-1, 31
What is n in -2*n**2/11 - 1222*n/11 = 0?
-611, 0
Find r such that -r**4/11 - 7*r**3/11 - 16*r**2/11 - 12*r/11 = 0.
-3, -2, 0
Determine m, given that 3*m**2 - 1503*m - 1506 = 0.
-1, 502
Determine m, given that m**3/3 - 50*m**2/3 + 97*m/3 - 16 = 0.
1, 48
Factor 4*k**5 + 44*k**4 - 696*k**3 + 2800*k**2 - 4576*k + 2688.
4*(k - 4)*(k - 2)**3*(k + 21)
Factor -i**4/5 + 26*i**3/5 - 232*i**2/5 + 774*i/5 - 567/5.
-(i - 9)**2*(i - 7)*(i - 1)/5
Factor -p**2 - 46*p + 255.
-(p - 5)*(p + 51)
Let -9*x**3 + 42*x**2 - 49*x = 0. Calculate x.
0, 7/3
Determine p, given that -2*p**2/11 + 216*p/11 - 630/11 = 0.
3, 105
Let 4*w**4/7 - 44*w**3/7 + 36*w**2/7 + 44*w/7 - 40/7 = 0. What is w?
-1, 1, 10
Suppose -5*o**4 - 15*o**3 + 20*o = 0. What is o?
-2, 0, 1
Determine z so that -15*z**4 + 744*z**3 - 1866*z**2 + 1560*z - 423 = 0.
3/5, 1, 47
Solve 18*w**2/17 - 404*w/17 - 112 = 0.
-4, 238/9
Let 3*n**2 - 39*n - 3444 = 0. What is n?
-28, 41
Factor -5*i**2/7 - 7*i - 120/7.
-(i + 5)*(5*i + 24)/7
Factor -2*m**3/5 - 148*m**2/5.
-2*m**2*(m + 74)/5
Factor -5*d**2 - 50870*d - 129387845.
-5*(d + 5087)**2
Factor -2*p**5/9 + 20*p**4/9 + 46*p**3/9 + 8*p**2/3.
-2*p**2*(p - 12)*(p + 1)**2/9
Let -5*l**4 - 20*l**3 + 10*l**2 + 60*l - 45 = 0. What is l?
-3, 1
Suppose -2*r**4/5 + 4*r**3 + 46*r**2/5 + 24*r/5 = 0. What is r?
-1, 0, 12
Factor 845*c**3 - 18980*c**2 + 96180*c - 141120.
5*(c - 16)*(13*c - 42)**2
Factor 5*d**5/3 - 100*d**4 + 295*d**3/3.
5*d**3*(d - 59)*(d - 1)/3
Find y such that 3*y**2/2 + 75*y/2 - 525 = 0.
-35, 10
Determine m, given that m**4 + 38*m**3 + 37*m**2 = 0.
-37, -1, 0
Factor -3*v**4 + 93*v**3 - 261*v**2 + 255*v - 84.
-3*(v - 28)*(v - 1)**3
Factor x**3/2 - 28*x**2 + 330*x + 1800.
(x - 30)**2*(x + 4)/2
What is l in -5*l**3/4 + 133*l**2/4 - 19*l - 13 = 0?
-2/5, 1, 26
Factor 2*s**5 + 16*s**4 + 4*s**3 - 160*s**2 - 150*s.
2*s*(s - 3)*(s + 1)*(s + 5)**2
Factor -3*m**2 + 78*m - 315.
-3*(m - 21)*(m - 5)
Factor -j**4/5 + 39*j**3/5 - 94*j**2 + 2292*j/5 - 792.
-(j - 22)*(j - 6)**2*(j - 5)/5
Solve -8*k**5 - 30*k**4 - 20*k**3 + 30*k**2 + 28*k = 0 for k.
-2, -7/4, -1, 0, 1
Suppose 2*f**4 + 2*f**3 - 564*f**2 + 2168*f - 2128 = 0. What is f?
-19, 2, 14
Factor x**3/6 + 77*x**2/3 + 1313*x/6 + 580/3.
(x + 1)*(x + 8)*(x + 145)/6
Factor -2*k**4/15 - 12*k**3/5 - 122*k**2/15 + 24*k - 40/3.
-2*(k - 1)**2*(k + 10)**2/15
Factor -p**4 + 35*p**3 - 157*p**2 + 213*p - 90.
-(p - 30)*(p - 3)*(p - 1)**2
What is y in y**4 + 52*y**3 + 100*y**2 = 0?
-50, -2, 0
Factor y**5/3 - y**4/3 - y**3 + 5*y**2/3 - 2*y/3.
y*(y - 1)**3*(y + 2)/3
Determine b, given that 2*b**3/11 - 26*b**2/11 - 28*b/11 = 0.
-1, 0, 14
Factor -12*v**3 + 112*v**2 - 220*v - 200.
-4*(v - 5)**2*(3*v + 2)
Factor 2*g**4 - 732*g**3 + 4338*g**2 - 6480*g.
2*g*(g - 360)*(g - 3)**2
Determine p, given that -2*p**4 - 72*p**3 - 572*p**2 + 1368*p - 722 = 0.
-19, 1
Find s, given that 2*s**2 + 8*s + 6 = 0.
-3, -1
Factor -3*o**4 - 39*o**3 - 54*o**2 + 480*o - 384.
-3*(o - 2)*(o - 1)*(o + 8)**2
Factor 2*d**4/7 + 18*d**3/7 - 408*d**2/7 + 1888*d/7 - 384.
2*(d - 4)**3*(d + 21)/7
Determine x so that 2*x**2 - 90*x = 0.
0, 45
Factor -98*y**4 + 924*y**3 + 552*y**2 + 80*y.
-2*y*(y - 10)*(7*y + 2)**2
Let 2*x**3/7 - 232*x**2/7 - 710*x/7 - 68 = 0. Calculate x.
-2, -1, 119
Determine a so that -2*a**5/7 + 106*a**4/7 + 338*a**3/7 - 106*a**2/7 - 48*a = 0.
-3, -1, 0, 1, 56
Suppose 5*c**4 + 1960*c**3 + 288120*c**2 + 18823840*c + 461184080 = 0. What is c?
-98
What is x in 2*x**5/15 + 2*x**4/15 - 8*x**3/5 = 0?
-4, 0, 3
Let y**2/2 + 23*y/2 - 12 = 0. Calculate y.
-24, 1
Suppose 2*m**3/11 - 58*m**2/11 - 24*m = 0. Calculate m.
-4, 0, 33
Factor 9*z**4/4 - 4*z**3 - z**2.
z**2*(z - 2)*(9*z + 2)/4
Factor -3*j**2 - 6*j + 45.
-3*(j - 3)*(j + 5)
Let -o**3/4 + 13*o**2 + 53*o/4 = 0. Calculate o.
-1, 0, 53
Determine p so that -4*p**5 - 8*p**4 + 20*p**3 + 40*p**2 - 16*p - 32 = 0.
-2, -1, 1, 2
Factor 21*c**3 + 6*c**2 - 21*c - 6.
3*(c - 1)*(c + 1)*(7*c + 2)
Factor -g**4/4 + 5*g**3/4 + 153*g**2/4 - 1053*g/4.
-g*(g - 9)**2*(g + 13)/4
Determine l so that -5*l**2 + 110*l = 0.
0, 22
Suppose -u**3 - 31*u**2 + u + 31 = 0. What is u?
-31, -1, 1
Factor -2*r**3/3 + 48*r**2 - 544*r/3.
-2*r*(r - 68)*(r - 4)/3
Factor -9*v**3/4 + 3531*v**2/4 - 86730*v + 28812.
-3*(v - 196)**2*(3*v - 1)/4
Factor 2*d**4/5 + 304*d**3/5 + 302*d**2/5.
2*d**2*(d + 1)*(d + 151)/5
Factor -o**5 + 97*o**4 - 3066*o**3 + 29106*o**2 + 81675*o - 107811.
-(o - 33)**3*(o - 1)*(o + 3)
Suppose -2*v**5 - 18*v**4 + 150*v**3 + 1210*v**2 - 1548*v - 2592 = 0. Calculate v.
-9, -1, 2, 8
Suppose 3*d**4 + 3030*d**3 - 9*d**2 - 9096*d - 6060 = 0. Calculate d.
-1010, -1, 2
Factor -z**2 + 95*z - 850.
-(z - 85)*(z - 10)
Factor k**5 - 18*k**4 + 60*k**3 - 56*k**2.
k**2*(k - 14)*(k - 2)**2
Find n, given that -4*n**3 - 5280*n**2 - 1747668*n - 3474248 = 0.
-659, -2
Factor 5*c**3 - 65*c**2 + 50*c + 120.
5*(c - 12)*(c - 2)*(c + 1)
Factor -2*u**2/11 + 512*u/11 + 514/11.
-2*(u - 257)*(u + 1)/11
Factor -36*j**2 + 188*j - 40.
-4*(j - 5)*(9*j - 2)
Solve -4*x**3 + 24*x**2 - 36*x = 0.
0, 3
Suppose t**4/6 + 7*t**3/2 + 2*t**2 - 86*t/3 - 40 = 0. Calculate t.
-20, -2, 3
Find t such that -4*t**5/9 + 20*t**4/3 - 268*t**3/9 + 124*t**2/3 - 160*t/9 = 0.
0, 1, 5, 8
Factor 5*o**2 + 3220*o + 518420.
5*(o + 322)**2
Factor 8*m**3/9 + 178*m**2/3 + 302*m/3 - 260/9.
2*(m + 2)*(m + 65)*(4*m - 1)/9
Factor -5*o**4 - 20*o**3 + 15*o**2 + 70*o + 40.
-5*(o - 2)*(o + 1)**2*(o + 4)
Determine m, given that -2*m**3/5 + 112*m**2/5 - 768*m/5 = 0.
0, 8, 48
Factor -4*c**4 - 8*c**3 + 108*c**2 - 208*c + 112.
-4*(c - 2)**2*(c - 1)*(c + 7)
Suppose 5*q**5 - 545*q**4 + 540*q**3 = 0. What is q?
0, 1, 108
Factor -3*t**3 + 87*t**2/5 - 102*t/5 - 24/5.
-3*(t - 4)*(t - 2)*(5*t + 1)/5
Suppose -52*b**2 - 96*b = 0. Calculate b.
-24/13, 0
Determine r, given that r**3/2 + 55*r**2/2 + 364*r - 392 = 0.
-28, 1
Factor 4*w**4/7 - 12*w**3/7 - 36*w**2/7 - 20*w/7.
4*w*(w - 5)*(w + 1)**2/7
Solve -67*q**3 - 66*q**2 + q = 0.
-1, 0, 1/67
Factor 3*x**3 + 36*x**2 - 324*x.
3*x*(x - 6)*(x + 18)
Factor -10*x**4 + 26*x**3 - 8*x**2 - 8*x.
-2*x*(x - 2)*(x - 1)*(5*x + 2)
Solve -4*v**4 + 80*v**3 - 72*v**2 - 80*v + 76 = 0.
-1, 1, 19
Factor 2*y**3/3 + 22*y**2/3 + 38*y/3 + 6.
2*(y + 1)**2*(y + 9)/3
Factor 8*m**4 + 68*m**3 + 200*m**2 + 228*m + 72.
4*(m + 2)*(m + 3)**2*(2*m + 1)
Find s such that -2*s**4 - 64*s**3 - 510*s**2 + 64*s + 512 = 0.
-16, -1, 1
Let 4*c**3 + 1500*c**2 + 187500*c + 7812500 = 0. What is c?
-125
Factor 3*z**4 - 108*z**3 + 960*z**2 + 432*z - 3888.
3*(z - 18)**2*(z - 2)*(z + 2)
What is f in -f**5/4 - 7*f**4/2 - 43*f**3/4 - 13*f**2/2 + 11*f + 10 = 0?
-10, -2, -1, 1
Factor -45*r**3 + 190*r**2 + 500*r - 120.
-5*(r - 6)*(r + 2)*(9*r - 2)
Find f such that 2*f**2/3 - 8*f/3 - 14 = 0.
-3, 7
Find u, given that 3*u**5 - 36*u**4 - 228*u**3 - 438*u**2 - 351*u - 102 = 0.
-2, -1, 17
Let -3*q**5/2 - 3*q**4 + 9*q**3/2 + 12*q**2 + 6*q = 0. What is q?
-2, -1, 0, 2
Determine x so that 4*x**2/3 - 64*x/3 - 76 = 0.
-3, 19
Determine q, given that -q**5/7 - 58*q**4/7 - 897*q**3/7 - 232*q**2 - 112*q = 0.
-28, -1, 0
Factor 6*s**4 + 7*s**3 - 18*s**2 - 9*s + 14.
(s - 1)**2*(s + 2)*(6*s + 7)
Factor -4*p**2/7 - 108*p/7 + 232/7.
-4*(p - 2)*(p + 29)/7
Suppose 3*m**3/2 + 54*m**2 - 528*m = 0. What is m?
-44, 0, 8
Factor -3*s**3 - 24*s**2 + 57*s - 30.
-3*(s - 1)**2*(s + 10)
Solve -2*c**5 - 416*c**4/7 + 4376*c**3/7 - 1216*c**2/7 = 0.
-38, 0, 2/7, 8
Factor -5*l**2 + 100*l.
-5*l*(l - 20)
What is u in 30*u**2/7 - 1054*u/7 + 20 = 0?
2/15, 35
Factor -2*n**3/7 - 4*n**2/7 - 2*n/7.
-2*n*(n + 1)**2/7
Factor i**2/8 + 35*i + 2450.
(i + 140)**2/8
Solve a**2 - 590*a = 0 for a.
0, 590
Let -i**5/3 - 2*i**4 + 47*i**3/3 - 28*i**2 + 44*i/3 = 0. What is i?
-11, 0, 1, 2
Factor -3*t**2 - 408*t + 828.
-3*(t - 2)*(t + 138)
Factor 5*w**2/2 - 125*w/3 + 80/3.
5*(w - 16)*(3*w - 2)/6
Factor 2*f**3/9 - 22*f**2/9 - 18