1, -2/11, 14
Factor 4*b**2 + 240*b + 1296.
4*(b + 6)*(b + 54)
Determine a, given that -4*a**5/5 + 4*a**4 - 16*a**3/5 = 0.
0, 1, 4
Determine g, given that -10*g**2/13 - 1766*g/13 - 2800/13 = 0.
-175, -8/5
Determine s, given that -2*s**5/3 + 4*s**4 + 2*s**3/3 - 68*s**2/3 + 8*s + 80/3 = 0.
-2, -1, 2, 5
Factor z**2/9 + 49*z/9 + 86/3.
(z + 6)*(z + 43)/9
Suppose -2*n**3 - 160*n**2/7 - 458*n/7 - 24 = 0. What is n?
-7, -4, -3/7
Find v such that 3*v**4 + 90*v**3 + 144*v**2 - 672*v = 0.
-28, -4, 0, 2
Let -10*v**5 + 58*v**4 - 108*v**3 + 76*v**2 - 10*v - 6 = 0. What is v?
-1/5, 1, 3
Solve -j**3/9 - 16*j**2/9 + 35*j/9 - 2 = 0.
-18, 1
Determine a, given that 3*a**2 + 450*a + 888 = 0.
-148, -2
Solve -20*x**5/9 - 98*x**4/9 - 10*x**3/3 + 164*x**2/9 - 16*x/9 = 0.
-4, -2, 0, 1/10, 1
Let 2*h**4/9 + 226*h**3/9 + 6710*h**2/9 + 6050*h/3 = 0. What is h?
-55, -3, 0
Factor 3*a**4 - 54*a**3 + 324*a**2 - 714*a + 441.
3*(a - 7)**2*(a - 3)*(a - 1)
Factor o**3 - 52*o**2 + 92*o + 400.
(o - 50)*(o - 4)*(o + 2)
Factor -5*n**2 - 185*n - 180.
-5*(n + 1)*(n + 36)
What is s in s**4/3 - 2*s**3/3 - 5*s**2/3 + 2*s = 0?
-2, 0, 1, 3
Determine j so that -15*j**2 + 70*j - 40 = 0.
2/3, 4
Factor -m**3 - 41*m**2 + 277*m - 235.
-(m - 5)*(m - 1)*(m + 47)
What is d in 3*d**2 - 78*d + 315 = 0?
5, 21
Factor j**3/3 - j**2 - 18*j + 112/3.
(j - 8)*(j - 2)*(j + 7)/3
Factor -t**5 + 14*t**4 - 24*t**3 - 94*t**2 - 55*t.
-t*(t - 11)*(t - 5)*(t + 1)**2
Factor 3*z**2 + 81*z - 84.
3*(z - 1)*(z + 28)
What is a in -3*a**5/2 - 3*a**4 + 57*a**3/2 - 42*a**2 + 18*a = 0?
-6, 0, 1, 2
Suppose -21*u**4/5 + 1161*u**3/5 - 309*u**2/5 - 1161*u/5 + 66 = 0. What is u?
-1, 2/7, 1, 55
Factor -3*h**3 + 9*h**2 + 363*h + 351.
-3*(h - 13)*(h + 1)*(h + 9)
Factor -2*b**4 - 11*b**3/2 - 5*b**2/2 + b.
-b*(b + 1)*(b + 2)*(4*b - 1)/2
Factor 6*n**3/7 + 3258*n**2/7 + 589698*n/7 + 35578446/7.
6*(n + 181)**3/7
Solve 2*b**3/7 + 92*b**2/7 - 42*b = 0 for b.
-49, 0, 3
Find j, given that -64*j**4 + 288*j**3 + 1212*j**2 - 656*j + 84 = 0.
-3, 1/4, 7
Find o such that 3*o**3/8 - 21*o**2/8 - 9*o/4 + 27 = 0.
-3, 4, 6
Factor 24*k**3/5 + 306*k**2/5 - 1188*k/5 + 192.
6*(k - 2)*(k + 16)*(4*k - 5)/5
Suppose -2*x**2/13 + 206*x/13 + 16 = 0. What is x?
-1, 104
Factor -2*j**4/5 + 228*j**3/5 - 8664*j**2/5 + 109744*j/5.
-2*j*(j - 38)**3/5
Find c, given that 5*c**2/3 + 5*c/3 = 0.
-1, 0
Let 2*s**2 - 1216*s + 184832 = 0. What is s?
304
Solve 2*u**2 + 112*u + 686 = 0 for u.
-49, -7
What is x in 5*x**4/6 - 5*x**3 + 25*x**2/6 = 0?
0, 1, 5
Factor l**2 - 64*l + 1024.
(l - 32)**2
Let -3*q**5 + 9*q**4 + 54*q**3 - 66*q**2 - 243*q - 135 = 0. Calculate q.
-3, -1, 3, 5
Let 64*z**4 - 32*z**3 - 796*z**2 - 388*z - 48 = 0. What is z?
-3, -1/4, 4
Factor -4*b**3 + 232*b**2 - 228*b.
-4*b*(b - 57)*(b - 1)
Factor -5*h**5 - 30*h**4 - 55*h**3 - 10*h**2 + 60*h + 40.
-5*(h - 1)*(h + 1)*(h + 2)**3
Factor 2*z**3/11 + 10*z**2/11 - 26*z/11 + 14/11.
2*(z - 1)**2*(z + 7)/11
Find b, given that 12*b**5 - 64*b**4 + 20*b**3 = 0.
0, 1/3, 5
What is t in t**4/5 - 8*t**3/5 - 168*t**2/5 + 352*t - 560 = 0?
-14, 2, 10
Solve -2*o**5/3 - 230*o**4/3 - 6496*o**3/3 + 6728*o**2/3 = 0.
-58, 0, 1
Let j**2 - 83*j - 534 = 0. What is j?
-6, 89
Determine v so that -2*v**2 + 1012*v = 0.
0, 506
Factor 4*m**3 - m**2 - 4*m + 1.
(m - 1)*(m + 1)*(4*m - 1)
Solve -2*u**5 - 312*u**4 + 630*u**3 - 316*u**2 = 0.
-158, 0, 1
Factor -2*m**2/9 - 10*m/9 - 8/9.
-2*(m + 1)*(m + 4)/9
Let -2*d**4 + 80*d**3 - 714*d**2 + 1196*d - 560 = 0. Calculate d.
1, 10, 28
Factor -2*a**2/9 + 14*a/9 + 196/9.
-2*(a - 14)*(a + 7)/9
What is i in -3*i**2 - 807*i + 810 = 0?
-270, 1
What is z in -12*z**4 + 20*z**3 + 100*z**2 - 180*z + 72 = 0?
-3, 2/3, 1, 3
Let -3*b**2/2 + 171*b/4 + 135/2 = 0. What is b?
-3/2, 30
Solve -9*i**2/2 + 645*i/2 + 327 = 0.
-1, 218/3
Factor 3*h**4 - 102*h**3 + 375*h**2 - 456*h + 180.
3*(h - 30)*(h - 2)*(h - 1)**2
Suppose -2*p**3 - 24*p**2 - 90*p - 100 = 0. What is p?
-5, -2
Let 4*d**3 + 192*d**2 + 3072*d + 16384 = 0. Calculate d.
-16
Factor 4*f**2/7 - 1824*f/7 + 3632/7.
4*(f - 454)*(f - 2)/7
Factor 1089*h**2 + 627*h + 18.
3*(11*h + 6)*(33*h + 1)
Factor 3*y**3/8 - 1161*y**2/8 + 108153*y/8 + 814989/8.
3*(y - 197)**2*(y + 7)/8
Solve -2*g**2/5 + 1686*g = 0 for g.
0, 4215
Factor f**3/4 + 57*f**2/2 + 111*f + 110.
(f + 2)**2*(f + 110)/4
Determine w, given that 2*w**5 + 38*w**4 + 198*w**3 - 62*w**2 - 2144*w - 1920 = 0.
-8, -5, -1, 3
Factor -i**2/6 + 239*i/3 + 481/2.
-(i - 481)*(i + 3)/6
Let 2*q**3/11 + 210*q**2/11 + 808*q/11 = 0. What is q?
-101, -4, 0
Factor 4*u**2 - 360*u - 3136.
4*(u - 98)*(u + 8)
Factor -169*a**3 + 2808*a**2 - 1680*a + 256.
-(a - 16)*(13*a - 4)**2
Factor 4*o**4 + 32*o**3 + 24*o**2 - 160*o + 100.
4*(o - 1)**2*(o + 5)**2
Factor -4*v**3 - 696*v**2.
-4*v**2*(v + 174)
Factor -2*p**4 - 30*p**3 + 76*p**2 + 120*p - 272.
-2*(p - 2)**2*(p + 2)*(p + 17)
Factor i**2/8 + 33*i + 263/8.
(i + 1)*(i + 263)/8
Factor 2*u**4/3 + 10*u**3.
2*u**3*(u + 15)/3
Solve -2*o**5 - 16*o**4 - 24*o**3 + 64*o**2 + 128*o = 0.
-4, -2, 0, 2
Let -5*i**4/4 - 11*i**3/4 - 7*i**2/4 - i/4 = 0. What is i?
-1, -1/5, 0
Factor 3*s**4 + 57*s**3 + 54*s**2.
3*s**2*(s + 1)*(s + 18)
Determine z, given that z**3/6 + 25*z**2/6 + 187*z/6 + 121/2 = 0.
-11, -3
Solve -3*n**2 - 42*n + 216 = 0 for n.
-18, 4
Solve 2*w**5/21 - 22*w**4/21 + 4*w**3 - 128*w**2/21 + 64*w/21 = 0 for w.
0, 1, 2, 4
Let -2*w**4 + 1840*w**3 - 3674*w**2 + 1836*w = 0. Calculate w.
0, 1, 918
Let 2*d**4 + 130*d**3 + 2176*d**2 + 2048*d = 0. What is d?
-32, -1, 0
Let -s**3/3 - 5*s**2/3 - 7*s/3 - 1 = 0. What is s?
-3, -1
Let 3*k**2 + 150*k - 825 = 0. Calculate k.
-55, 5
Solve 5*j**2 - 1520*j = 0.
0, 304
What is b in -b**5 - 36*b**4 - 194*b**3 + 268*b**2 + 195*b - 232 = 0?
-29, -8, -1, 1
Determine c, given that 242*c**3 + 7920*c**2 + 5664*c + 1024 = 0.
-32, -4/11
Factor -m**2/7 + 636*m/7 - 101124/7.
-(m - 318)**2/7
Let 4*a**5/7 - 4*a**4/7 - 40*a**3/7 + 40*a**2/7 + 36*a/7 - 36/7 = 0. Calculate a.
-3, -1, 1, 3
Solve 4*k**2 + 13416*k + 11249316 = 0 for k.
-1677
Factor -15*k**2 + 456*k - 180.
-3*(k - 30)*(5*k - 2)
Factor -5*b**2 + 60*b + 225.
-5*(b - 15)*(b + 3)
Solve 5*s**3 - 170*s**2 + 135*s + 990 = 0.
-2, 3, 33
Determine o so that -4*o**2 + 156*o + 160 = 0.
-1, 40
Solve 2*t**5 - 4*t**4 - 30*t**3 + 16*t**2 + 136*t + 96 = 0 for t.
-2, -1, 3, 4
Find b, given that -b**2/5 - 13*b/5 + 18 = 0.
-18, 5
Factor -c**2/3 - c - 2/3.
-(c + 1)*(c + 2)/3
Solve k**4/2 - 5*k**3/2 + 2*k**2 = 0 for k.
0, 1, 4
Find i, given that -245*i**5 - 8435*i**4 + 24970*i**3 + 60340*i**2 - 39800*i + 5920 = 0.
-37, -2, 2/7, 4
Factor -4*x**4 - 44*x**3 - 152*x**2 - 208*x - 96.
-4*(x + 1)*(x + 2)**2*(x + 6)
Factor 4*f**5 - 24*f**4 + 36*f**3.
4*f**3*(f - 3)**2
Suppose -z**2/3 - 49*z/3 + 34 = 0. Calculate z.
-51, 2
Determine l, given that 3*l**2 + 930*l + 927 = 0.
-309, -1
Solve 2*q**3 - 176*q**2 + 5082*q - 47916 = 0.
22, 33
Factor -44*c**2 + 16*c + 144.
-4*(c - 2)*(11*c + 18)
Suppose -4*b**5/3 + 382*b**4/3 - 9020*b**3/3 - 4990*b**2/3 + 3008*b + 1536 = 0. Calculate b.
-1, -1/2, 1, 48
Factor 5*i**2 - 6145*i - 6150.
5*(i - 1230)*(i + 1)
Determine j, given that j**4/7 + 103*j**3/7 + 687*j**2/7 + 207*j + 864/7 = 0.
-96, -3, -1
Factor 4*f**2 - 34*f + 16.
2*(f - 8)*(2*f - 1)
Find b such that -3*b**3 + 27*b**2 + 30*b = 0.
-1, 0, 10
Factor 8*a**4 - 12*a**3 - 28*a**2 + 12*a + 20.
4*(a - 1)*(a + 1)**2*(2*a - 5)
What is p in 2*p**2/7 - 46*p/7 - 100/7 = 0?
-2, 25
Solve -2*t**4 + 54*t**3 - 354*t**2 + 490*t + 900 = 0.
-1, 5, 18
Factor f**4/5 + 27*f**3/5 + 51*f**2/5 + 5*f.
f*(f + 1)**2*(f + 25)/5
Factor 2*d**2/3 - 10*d/3 + 4.
2*(d - 3)*(d - 2)/3
Let 32*p**5 - 1936*p**4 - 1102*p**3 + 7622*p**2 + 3896*p + 488 = 0. What is p?
-2, -1/4, 2, 61
Factor -w**5 - 83*w**4 - 82*w**3.
-w**3*(w + 1)*(w + 82)
Factor 2*r**4/5 + 4*r**3/5 - 4*r/5 - 2/5.
2*(r - 1)*(r + 1)**3/5
What is z in -z**4/7 + 4*z**3/7 - 3*z**2/7 = 0?
0, 1, 3
Factor 2*f**2/11 + 5480*f/11 + 3753800/11.
2*(f + 1370)**2/11
Find m such that -5*m**3 + 5*m**2 = 0.
0, 1
Find n such that -3*n**4/7 - 156*n**3/7 - 3042*n**2/7 - 26364*n/7 - 85683/7 = 0.
-13
Find l, given that 24*l**5 - 124*l**4 - 244*l**3 + 836*l**2 - 564*l + 72 = 0.
-3, 1/6, 1, 6
Determine y, given that -2*y**4 + 7*y**3/3 + 5*y**2/3 - 7*y/3 + 1/3 = 0.
-1, 1/6, 1
Factor 15*l**3 - 295*l**2 - 110*l + 200.
5*(l - 20)*(l + 1)*(3*l - 2)
Factor l**4 + 2*l**3 -