n**2 + 51*n - 54.
3*(n - 1)*(n + 18)
Find b, given that -5*b**3 - 55*b**2 - 95*b - 45 = 0.
-9, -1
Solve -3*i**4/5 - 9*i**3/5 + 3*i**2 + 9*i/5 - 12/5 = 0 for i.
-4, -1, 1
Factor -w**4/3 - 5*w**3/3 - 4*w**2/3.
-w**2*(w + 1)*(w + 4)/3
Factor -3*p**2 + 846*p - 59643.
-3*(p - 141)**2
Factor 3*p**3/5 - 9*p/5 + 6/5.
3*(p - 1)**2*(p + 2)/5
Factor -243*l**4 - 540*l**3 - 111*l**2 - 6*l.
-3*l*(l + 2)*(9*l + 1)**2
Find a such that a**4/3 - 484*a**3/3 + 26082*a**2 - 4251044*a/3 + 4173281/3 = 0.
1, 161
Factor -k**2 - 119*k.
-k*(k + 119)
Find k, given that -4*k**5 + 40*k**4 - 148*k**3 + 256*k**2 - 208*k + 64 = 0.
1, 2, 4
Factor -m**5/9 + 2*m**4/9 + 4*m**3/3 - 40*m**2/9 + 32*m/9.
-m*(m - 2)**3*(m + 4)/9
Factor 6*g**3 - 159*g**2 - 81*g.
3*g*(g - 27)*(2*g + 1)
Factor -2*h**4 - 12*h**3 - 8*h**2 + 48*h + 64.
-2*(h - 2)*(h + 2)**2*(h + 4)
Factor -3*i**2 - 21*i + 90.
-3*(i - 3)*(i + 10)
Suppose 2*n**2 - 164*n + 320 = 0. What is n?
2, 80
Factor 3*c**5/4 + 555*c**4 + 308025*c**3/2 + 18994875*c**2 + 3514051875*c/4.
3*c*(c + 185)**4/4
Suppose -2*o**3/9 + 50*o**2/9 - 136*o/9 + 88/9 = 0. What is o?
1, 2, 22
Suppose 6*d**3 - 80*d**2/7 - 134*d/7 - 12/7 = 0. What is d?
-1, -2/21, 3
Factor -7*s**3/5 - 211*s**2/5 - 233*s/5 - 29/5.
-(s + 1)*(s + 29)*(7*s + 1)/5
Factor s**3 + 45*s**2 + 528*s + 484.
(s + 1)*(s + 22)**2
Factor -2*v**5 - 22*v**4 - 86*v**3 - 146*v**2 - 112*v - 32.
-2*(v + 1)**3*(v + 4)**2
What is l in -3*l**2/5 - 99*l/5 + 102/5 = 0?
-34, 1
Determine k, given that k**4/2 + 5*k**3/2 - 3*k**2/2 - 13*k/2 + 5 = 0.
-5, -2, 1
Factor -q**2 + 238*q - 14161.
-(q - 119)**2
Factor 50*j**3/13 + 1760*j**2/13 - 1432*j/13 + 288/13.
2*(j + 36)*(5*j - 2)**2/13
Solve -3*r**3 - 387*r**2 - 14040*r - 97200 = 0 for r.
-60, -9
Factor -9*t**3 - 41*t**2 - 34*t + 24.
-(t + 2)*(t + 3)*(9*t - 4)
Find i such that -63001*i**2 + 8032*i - 256 = 0.
16/251
Find u such that -2*u**4/3 - 8*u**3 - 38*u**2/3 + 8*u + 40/3 = 0.
-10, -2, -1, 1
Let 5*q**5 - 20*q**4 - 35*q**3 + 170*q**2 - 120*q = 0. Calculate q.
-3, 0, 1, 2, 4
Suppose -2*v**3/9 + 10*v**2 - 58*v/3 + 86/9 = 0. Calculate v.
1, 43
Factor x**4/8 + 3*x**3/4 - 27*x**2/2 - 115*x/4 - 117/8.
(x - 9)*(x + 1)**2*(x + 13)/8
Solve 16*v**5/15 + 10*v**4/3 - 14*v**3/5 - 182*v**2/15 - 118*v/15 - 4/5 = 0.
-3, -1, -1/8, 2
Solve -5*n**3 - 7885*n**2 - 3120455*n - 9290535 = 0.
-787, -3
Factor -4*x**3 + 272*x**2 - 4624*x.
-4*x*(x - 34)**2
Factor -2*t**2 - 48*t - 46.
-2*(t + 1)*(t + 23)
Let 4*y**2 + 584*y + 21316 = 0. What is y?
-73
Let -f**3 - 72*f**2 - 528*f - 1024 = 0. Calculate f.
-64, -4
Factor 2*f**5/15 - 142*f**4/3 - 1450*f**3/3 - 3650*f**2/3.
2*f**2*(f - 365)*(f + 5)**2/15
Determine k, given that -5*k**4 + 45*k**3 + 710*k**2 + 1740*k + 1080 = 0.
-6, -2, -1, 18
Find t, given that -2*t**2/11 - 128*t/11 - 2048/11 = 0.
-32
Factor -s**3/5 - 24*s**2/5 - 31*s - 60.
-(s + 4)*(s + 5)*(s + 15)/5
Factor -3*t**3 + 828*t**2 - 56295*t - 115926.
-3*(t - 139)**2*(t + 2)
Solve 5*c**3 - 90*c**2 - 420*c - 440 = 0.
-2, 22
Find b, given that 27*b**5 - 79*b**4 + 21*b**3 + 83*b**2 - 48*b - 4 = 0.
-1, -2/27, 1, 2
Factor b**2/3 - 19*b + 56/3.
(b - 56)*(b - 1)/3
Find o, given that -32*o**3/5 + 2224*o**2/5 - 1106*o/5 + 138/5 = 0.
1/4, 69
Determine c, given that -c**2/2 + 39*c/2 - 19 = 0.
1, 38
Solve 3*h**2/4 - 75*h/2 + 1875/4 = 0.
25
Let -p**3 - p**2 + 16*p - 20 = 0. Calculate p.
-5, 2
Suppose -3*o**4 + 276*o**3 + 2034*o**2 + 4428*o + 2673 = 0. Calculate o.
-3, -1, 99
Factor 2197845*z**2 + 13260*z + 20.
5*(663*z + 2)**2
Determine w, given that w**4 + 62*w**3 + 513*w**2 - 14060*w + 43808 = 0.
-37, 4, 8
Factor -5*x**3 + 35*x**2 - 70*x + 40.
-5*(x - 4)*(x - 2)*(x - 1)
Factor -2*n**3/11 + 2*n**2/11 + 10*n/11 + 6/11.
-2*(n - 3)*(n + 1)**2/11
Let 18*o**5 + 1866*o**4/7 - 2368*o**3/7 + 520*o**2/7 + 128*o/7 = 0. Calculate o.
-16, -1/7, 0, 2/3
Factor -2*y**2 - 204*y + 206.
-2*(y - 1)*(y + 103)
Suppose 6*p**5 + 104*p**4 - 96*p**3 - 416*p**2 + 288*p = 0. Calculate p.
-18, -2, 0, 2/3, 2
Factor 5*d**3 + 145*d**2 + 1400*d + 4500.
5*(d + 9)*(d + 10)**2
Let 8*o**3 + 138*o**2 + 454*o - 600 = 0. What is o?
-12, -25/4, 1
Factor 5*l**4 - 510*l**3 - 515*l**2.
5*l**2*(l - 103)*(l + 1)
Suppose 3*k**4 + 171*k**3 - 177*k**2 - 171*k + 174 = 0. What is k?
-58, -1, 1
Factor f**4/3 + 5*f**3 - 37*f**2/3 - 17*f.
f*(f - 3)*(f + 1)*(f + 17)/3
Factor n**5 + 1068*n**4 + 284085*n**3 - 572450*n**2.
n**2*(n - 2)*(n + 535)**2
Factor 5*r**2 + 1140*r.
5*r*(r + 228)
Determine m, given that -18*m**5/5 - 32*m**4/5 - 2*m**3 + 4*m**2/5 = 0.
-1, 0, 2/9
Factor 3*p**2/4 + 111*p/4 + 120.
3*(p + 5)*(p + 32)/4
Factor -w**5/4 + 13*w**4/4 - 11*w**3/2 - 63*w**2 + 162*w + 216.
-(w - 6)**3*(w + 1)*(w + 4)/4
Factor -4*k**4 - 8*k**3 + 192*k**2 - 504*k + 324.
-4*(k - 3)**2*(k - 1)*(k + 9)
Factor m**5/2 + m**4 - 3*m**3 - 2*m**2 + 13*m/2 - 3.
(m - 1)**3*(m + 2)*(m + 3)/2
What is z in -2*z**2/3 - 30*z + 92/3 = 0?
-46, 1
What is h in -h**2/7 + 502*h/7 + 503/7 = 0?
-1, 503
Let -12*c**5 + 32*c**4 + 68*c**3 - 152*c**2 - 80*c + 96 = 0. What is c?
-2, -1, 2/3, 2, 3
Find q such that -q**4/4 + 99*q**3/2 - 9601*q**2/4 - 4950*q - 2500 = 0.
-1, 100
Factor -z**2/4 - 197*z - 38809.
-(z + 394)**2/4
Solve 3*r**4 - 12*r**3 + 9*r**2 + 12*r - 12 = 0.
-1, 1, 2
Suppose 3*t**2 - 1026*t - 1029 = 0. What is t?
-1, 343
Factor -d**2/2 - 3*d/2 + 377.
-(d - 26)*(d + 29)/2
Factor -2*l**4/9 - 454*l**3/9 - 25990*l**2/9 - 25538*l/9.
-2*l*(l + 1)*(l + 113)**2/9
Find a such that 9*a**3/8 + 1785*a**2/8 - 1193*a/8 + 199/8 = 0.
-199, 1/3
Let -2*y**5/5 + 24*y**4/5 + 2*y**3/5 - 24*y**2/5 = 0. What is y?
-1, 0, 1, 12
Let 4*t**2 - 2340*t + 2336 = 0. What is t?
1, 584
Suppose -k**4/2 + 12*k**3 - 83*k**2/2 + 30*k = 0. Calculate k.
0, 1, 3, 20
Factor -2*c**3/13 - 10*c**2/13 - 4*c/13 + 16/13.
-2*(c - 1)*(c + 2)*(c + 4)/13
What is n in -4*n**2/9 - 800*n/3 - 40000 = 0?
-300
Factor -55*y**2 - 19685*y + 1790.
-5*(y + 358)*(11*y - 1)
Factor 5*q**3 - 6555*q**2 + 2145120*q + 2151680.
5*(q - 656)**2*(q + 1)
What is z in 2*z**4/5 - 303*z**3/5 + 1891*z**2/5 - 174*z = 0?
0, 1/2, 6, 145
Factor 3*z**4 + 9*z**3 - 60*z**2 - 144*z + 192.
3*(z - 4)*(z - 1)*(z + 4)**2
What is c in -64*c**5/7 - 416*c**4/7 + 1788*c**3/7 + 3272*c**2/7 + 1276*c/7 + 144/7 = 0?
-9, -1, -1/4, 4
Factor -2*s**2/3 + 64*s/3 + 152.
-2*(s - 38)*(s + 6)/3
Let 3*s**2 + 438*s = 0. Calculate s.
-146, 0
Let 3*v**3 - 2061*v**2 + 2058*v = 0. Calculate v.
0, 1, 686
Factor -4*d**2 - 12*d + 40.
-4*(d - 2)*(d + 5)
What is m in -m**5 - 7*m**4 - 15*m**3 - 13*m**2 - 4*m = 0?
-4, -1, 0
Find k such that -8*k**2 - 86*k/3 - 20/3 = 0.
-10/3, -1/4
Solve 5*l**5 + 35*l**4 + 90*l**3 + 100*l**2 + 40*l = 0 for l.
-2, -1, 0
Factor -2*x**2 + 120*x - 118.
-2*(x - 59)*(x - 1)
Factor -3*s**2/2 - 96*s + 2475/2.
-3*(s - 11)*(s + 75)/2
Factor u**5 - 5*u**4 - 7*u**3 + 5*u**2 + 6*u.
u*(u - 6)*(u - 1)*(u + 1)**2
Suppose -2*s**2/13 - 662*s/13 + 1332/13 = 0. Calculate s.
-333, 2
Find w such that -w**3 - 13*w**2 - 35*w + 49 = 0.
-7, 1
Find t, given that -6*t**3 + 128*t**2 + 538*t + 300 = 0.
-3, -2/3, 25
What is s in -s**2/5 - 64*s/5 = 0?
-64, 0
Solve -9*f**4 + 21*f**3 - 6*f**2 = 0.
0, 1/3, 2
Let 2*c**2/13 + 668*c/13 - 3390/13 = 0. What is c?
-339, 5
Let -a**2 + 1609*a = 0. Calculate a.
0, 1609
Factor -3*i**3 - 10890*i**2 - 21771*i - 10884.
-3*(i + 1)**2*(i + 3628)
Let z**4/7 - 20*z**3 - 429*z**2/7 - 4*z/7 + 572/7 = 0. Calculate z.
-2, 1, 143
Find d such that d**4/7 - 8*d**3/7 + 9*d**2/7 + 18*d/7 = 0.
-1, 0, 3, 6
Factor 3*u**3/2 - 309*u**2/2 + 153*u.
3*u*(u - 102)*(u - 1)/2
Let 5*f**3 + 40*f**2 + 80*f = 0. What is f?
-4, 0
Find u, given that -u**2/5 + 132*u/5 - 4356/5 = 0.
66
Determine s so that 2*s**2 + 7084*s + 6272882 = 0.
-1771
Let -2*a**2/7 + 52*a/7 + 310/7 = 0. What is a?
-5, 31
Factor -2*p**2/3 - 1126*p - 3376/3.
-2*(p + 1)*(p + 1688)/3
Determine y, given that -3*y**3/8 + 315*y**2/2 - 22050*y + 1029000 = 0.
140
Factor -4*o**2 - 1660*o - 3304.
-4*(o + 2)*(o + 413)
Solve 27*n**4 - 36*n**3 + 12*n**2 = 0 for n.
0, 2/3
Factor 2*c**3/7 + 52*c**2/7 + 384*c/7 + 576/7.
2*(c + 2)*(c + 12)**2/7
Suppose -26*f**3/7 + 4*f**2/7 + 104*f/7 - 16/7 = 0. Calculate f.
-2, 2/13, 2
Factor y**3/3 + 10*y**2/3 + 31*y/3 + 10.
(y + 2)*(y + 3)*(y + 5)/3
Factor 3*i**5 - 21*i**4 + 30*i**3 + 6*i**2 - 33*i + 15.
3*(i - 5)*(i - 1)**3*(i + 1)
Determine m, given that m**3 + 30*m**2 - 99*m = 0.
-33, 0,