 - 12 = 0. Calculate n.
-3, -2, 2
Solve 5*a**5 - 130*a**4 + 540*a**3 - 290*a**2 - 545*a + 420 = 0.
-1, 1, 4, 21
Factor -q**2/4 - q/2 + 3/4.
-(q - 1)*(q + 3)/4
Find g, given that 2*g**5 - 32*g**4/5 - 84*g**3/5 + 288*g**2/5 - 54*g/5 = 0.
-3, 0, 1/5, 3
Factor -2*c**3/21 + 116*c**2/21 + 758*c/21 + 640/21.
-2*(c - 64)*(c + 1)*(c + 5)/21
Factor 3*s**3 + 36*s**2 + 33*s.
3*s*(s + 1)*(s + 11)
Factor -3362*r**2/3 + 164*r/3 - 2/3.
-2*(41*r - 1)**2/3
Suppose -5*y**2 + 500*y + 505 = 0. Calculate y.
-1, 101
Factor -4*i**3 - 72*i**2 - 324*i.
-4*i*(i + 9)**2
Factor x**4/4 - 9*x**3/4 - 243*x**2/4 + 3645*x/4 - 6561/2.
(x - 9)**3*(x + 18)/4
Factor 3*x**4/7 - 30*x**3/7 + 3*x**2/7 + 468*x/7 - 864/7.
3*(x - 8)*(x - 3)**2*(x + 4)/7
Solve 2*v**5/3 - 2242*v**4/3 - 4*v**3/3 + 4484*v**2/3 + 2*v/3 - 2242/3 = 0.
-1, 1, 1121
Factor -4*d**3/7 + 104*d**2/7 - 676*d/7.
-4*d*(d - 13)**2/7
Factor -3*r**4 - 42*r**3 - 183*r**2 - 252*r - 108.
-3*(r + 1)**2*(r + 6)**2
What is d in 2*d**5/21 - 18*d**4/7 - 178*d**3/21 - 22*d**2/7 + 176*d/21 + 40/7 = 0?
-2, -1, 1, 30
What is x in 2*x**4/5 + 218*x**3/5 - 14*x**2/5 - 1514*x/5 + 1308/5 = 0?
-109, -3, 1, 2
Let -4*g**5 + 48*g**4 - 140*g**3 - 48*g**2 + 144*g = 0. What is g?
-1, 0, 1, 6
Solve -5*w**5 + 655*w**4 - 1290*w**3 - 10*w**2 + 1295*w - 645 = 0.
-1, 1, 129
Solve -3*w**2/2 + 24*w - 96 = 0.
8
What is o in -o**3 + 198*o**2 + 607*o - 804 = 0?
-4, 1, 201
Suppose -4*w**3/5 - 296*w**2/5 + 60*w = 0. Calculate w.
-75, 0, 1
Solve n**2/3 + 19*n/3 + 20 = 0 for n.
-15, -4
Suppose -w**3/2 - 15*w**2/2 - 75*w/2 - 125/2 = 0. Calculate w.
-5
Solve -4*k**2/3 + 4*k + 112/3 = 0 for k.
-4, 7
Determine z, given that 6*z**4 - 22*z**3 + 30*z**2 - 18*z + 4 = 0.
2/3, 1
What is o in 5*o**4 - 295*o**3 + 5985*o**2 - 45125*o + 68590 = 0?
2, 19
Factor -3*b**2 - 114*b - 315.
-3*(b + 3)*(b + 35)
Factor -2*z**4/5 + 66*z**3/5 + 624*z**2/5 + 1312*z/5.
-2*z*(z - 41)*(z + 4)**2/5
Factor 343*u**5/2 + 9653*u**4 + 12222*u**3 + 5211*u**2 + 1485*u/2.
u*(u + 55)*(7*u + 3)**3/2
Determine h, given that h**3/4 - 11*h**2/4 + 6*h + 9 = 0.
-1, 6
Factor 718*u**2/3 - 706*u/3 - 4.
2*(u - 1)*(359*u + 6)/3
Factor -2*s**2/13 - 346*s/13 - 1020/13.
-2*(s + 3)*(s + 170)/13
Suppose -5*i**2 - 25*i = 0. What is i?
-5, 0
Let 2*t**3/19 + 6*t**2/19 - 48*t/19 - 160/19 = 0. Calculate t.
-4, 5
Factor t**5/3 - 19*t**4/3 + 48*t**3 - 544*t**2/3 + 1024*t/3 - 256.
(t - 4)**4*(t - 3)/3
Determine z, given that z**2 + 48*z - 49 = 0.
-49, 1
Let l**2/5 - l/5 - 2/5 = 0. Calculate l.
-1, 2
Solve 2*o**2/11 + 28*o/11 + 48/11 = 0.
-12, -2
What is r in -4*r**2 + 156*r = 0?
0, 39
Suppose 3*f**3/2 - 23589*f**2/2 + 61826769*f/2 - 54015987183/2 = 0. Calculate f.
2621
Determine d, given that 5*d**3 - 2135*d**2 + 228975*d - 226845 = 0.
1, 213
Suppose 4*d**2/3 - 208*d/3 + 256 = 0. Calculate d.
4, 48
Suppose 2*k**3 - 10*k**2 + 14*k - 6 = 0. What is k?
1, 3
Factor 2*c**5/5 + 6*c**4/5 - 26*c**3/5 - 94*c**2/5 - 96*c/5 - 32/5.
2*(c - 4)*(c + 1)**3*(c + 4)/5
Find m, given that 2*m**5 + 48*m**4 + 402*m**3 + 1420*m**2 + 2232*m + 1296 = 0.
-9, -2
Factor 8*d**4/15 - 2*d**3/15.
2*d**3*(4*d - 1)/15
Suppose 75*b**5 - 405*b**4 + 78*b**3 + 390*b**2 - 153*b + 15 = 0. Calculate b.
-1, 1/5, 1, 5
Factor 5*r**2 + 260*r - 2400.
5*(r - 8)*(r + 60)
Factor 14*t**3 - 206*t**2 - 60*t.
2*t*(t - 15)*(7*t + 2)
Suppose 2*a**4/3 - 246*a**3 + 66952*a**2/3 + 70184*a - 92256 = 0. Calculate a.
-4, 1, 186
Solve 209764*s**2 + 21984*s + 576 = 0 for s.
-12/229
Solve 5*p**3 + 105*p**2 + 100*p = 0 for p.
-20, -1, 0
Factor 49*k**4/4 + 133*k**3/2 + 277*k**2/4 - 57*k + 9.
(k + 3)**2*(7*k - 2)**2/4
Factor 19*n**3/4 + 39*n**2/2 + 21*n + 2.
(n + 2)**2*(19*n + 2)/4
Find y such that -y**3/8 - 3*y**2/2 + 13*y/8 = 0.
-13, 0, 1
Factor 3*f**5 - 3*f**4 - 30*f**3 - 24*f**2.
3*f**2*(f - 4)*(f + 1)*(f + 2)
Factor -2*z**4 - 16*z**3 - 48*z**2 - 64*z - 32.
-2*(z + 2)**4
Determine f, given that 2*f**4/7 - 216*f**3/7 - 220*f**2/7 + 216*f/7 + 218/7 = 0.
-1, 1, 109
Factor 4*a**2 - 13544*a + 11464996.
4*(a - 1693)**2
What is p in -p**5 - 22*p**4 - 97*p**3 + 264*p**2 - 144*p = 0?
-12, 0, 1
Find o such that -10*o**2/9 - 34*o/9 + 8/3 = 0.
-4, 3/5
Factor 54*p**5 - 108*p**4 - 144*p**3 + 160*p**2 + 224*p + 64.
2*(p - 2)**2*(3*p + 2)**3
Solve -3*u**2 + 105*u + 108 = 0 for u.
-1, 36
What is a in -3*a**2 + 246*a - 5043 = 0?
41
Factor -5*k**4 + 30*k**3 - 45*k**2 - 20*k + 60.
-5*(k - 3)*(k - 2)**2*(k + 1)
Let -5*l**3 + 25*l**2 - 20*l = 0. Calculate l.
0, 1, 4
Suppose -a**3/8 + a**2/2 + 19*a/8 + 7/4 = 0. Calculate a.
-2, -1, 7
Factor 4*h**2 + 288*h + 828.
4*(h + 3)*(h + 69)
Suppose -5*z**5 + 20*z**4 - 25*z**3 + 10*z**2 = 0. What is z?
0, 1, 2
Suppose 12*o**3 + 2757*o**2 + 4782*o - 1368 = 0. Calculate o.
-228, -2, 1/4
Let -2*j**2/5 - 256*j/5 + 258/5 = 0. Calculate j.
-129, 1
Factor -14*k**4 - 66*k**3 - 36*k**2 + 16*k.
-2*k*(k + 1)*(k + 4)*(7*k - 2)
Factor 4*c**2 - 13368*c + 11168964.
4*(c - 1671)**2
Factor 4*i**5/3 - 28*i**4/3 + 76*i**3/3 - 100*i**2/3 + 64*i/3 - 16/3.
4*(i - 2)**2*(i - 1)**3/3
Factor 66*f**2 - 63*f - 3.
3*(f - 1)*(22*f + 1)
Suppose -4*i**2 - 1608*i - 161604 = 0. Calculate i.
-201
Solve j**5 + 16*j**4 - 243*j**3 + 434*j**2 - 208*j = 0.
-26, 0, 1, 8
Factor -4*y**4 + 852*y**3 - 42240*y**2 - 338800*y.
-4*y*(y - 110)**2*(y + 7)
Factor 3*y**4/4 + 33*y**3 - 207*y**2/2 + 105*y - 141/4.
3*(y - 1)**3*(y + 47)/4
Factor 2*m**4/5 - 4*m**3 + 74*m**2/5 - 24*m + 72/5.
2*(m - 3)**2*(m - 2)**2/5
Let -2*x**4/17 - 492*x**3/17 - 490*x**2/17 = 0. What is x?
-245, -1, 0
Solve 230*w**5/13 - 2*w**4 - 18*w**3 + 2*w**2 + 4*w/13 = 0.
-1, -2/23, 0, 1/5, 1
Factor 5*v**3 - 115*v**2 - 380*v - 260.
5*(v - 26)*(v + 1)*(v + 2)
Find d such that 6*d**5/5 - 1376*d**4/5 - 10792*d**3/5 - 26004*d**2/5 - 15678*d/5 + 8532/5 = 0.
-3, -2, 1/3, 237
Solve -4*b**5 + 32*b**4 - 4*b**3 - 472*b**2 + 1088*b - 640 = 0.
-4, 1, 2, 4, 5
Determine o so that 6*o**3/5 - 32*o**2/5 + 24*o/5 + 32/5 = 0.
-2/3, 2, 4
Solve -60*s**5 - 908*s**4 - 60*s**3 + 908*s**2 + 120*s = 0.
-15, -1, -2/15, 0, 1
Factor 4*o**4/7 + 34*o**3/7 + 16*o**2/7.
2*o**2*(o + 8)*(2*o + 1)/7
Factor o**5 + 11*o**4 + 32*o**3 + 28*o**2.
o**2*(o + 2)**2*(o + 7)
Solve 10*u**4 - 275*u**3/2 + 95*u**2 + 65*u/2 = 0 for u.
-1/4, 0, 1, 13
Solve 5*a**3 + 3850*a**2 = 0.
-770, 0
Suppose -3*w**4 - 69*w**3 - 417*w**2 - 351*w = 0. What is w?
-13, -9, -1, 0
Factor -l**3/9 - 4*l**2 - 21*l - 30.
-(l + 3)**2*(l + 30)/9
Determine g so that 4*g**3 - 516*g**2 + 1020*g - 508 = 0.
1, 127
Suppose -2*q**4 + 34*q**3 - 126*q**2 - 162*q = 0. Calculate q.
-1, 0, 9
Factor -15*n**2/7 - 81*n/7 + 54/7.
-3*(n + 6)*(5*n - 3)/7
Factor -2*b**3/3 + 166*b**2/3 + 880*b/3.
-2*b*(b - 88)*(b + 5)/3
Find k, given that 12*k**2 - 1461*k - 366 = 0.
-1/4, 122
Let 21*u**4 + 150*u**3 + 357*u**2 + 300*u + 36 = 0. Calculate u.
-3, -2, -1/7
Find j, given that j**3 + 8*j**2 + 20*j + 16 = 0.
-4, -2
Factor -4*d**3 - 48*d**2 + 240*d - 256.
-4*(d - 2)**2*(d + 16)
Factor 14*b**4 + 10*b**3 - 18*b**2 - 10*b + 4.
2*(b - 1)*(b + 1)**2*(7*b - 2)
Factor -g**2/9 - 587*g/9.
-g*(g + 587)/9
Factor 3*q**2 + 6918*q + 6915.
3*(q + 1)*(q + 2305)
Suppose x**3/4 - 61*x**2/4 + 15*x = 0. Calculate x.
0, 1, 60
Factor 5*h**2 + 660*h - 3425.
5*(h - 5)*(h + 137)
Factor -a**3/4 + 39*a**2/4 - 74*a - 84.
-(a - 28)*(a - 12)*(a + 1)/4
Find z, given that 5*z**2 + 410*z + 8400 = 0.
-42, -40
Let -x**2/5 + 349*x/5 - 2058/5 = 0. Calculate x.
6, 343
Factor 4*n**3 - 12*n - 8.
4*(n - 2)*(n + 1)**2
Factor 2*h**2 + 308*h + 608.
2*(h + 2)*(h + 152)
Solve u**4 - 148*u**3 + 293*u**2 - 146*u = 0 for u.
0, 1, 146
Find v, given that 48*v**2/7 + 145*v/7 + 3/7 = 0.
-3, -1/48
Factor 4*q**3 - 112*q**2 + 612*q - 504.
4*(q - 21)*(q - 6)*(q - 1)
Find r, given that 21*r**4/5 - 549*r**3 + 1944*r**2/5 + 156*r = 0.
-2/7, 0, 1, 130
Let 5*f**2 + 790*f + 31205 = 0. Calculate f.
-79
What is t in 3*t**3 + 30*t**2 + 63*t = 0?
-7, -3, 0
Determine y so that -y**3 - 560*y**2 + 561*y = 0.
-561, 0, 1
Factor 8*r**2/5 - 18*r + 162/5.
2*(r - 9)*(4*r - 9)/5
Factor s**4/4 + 17*s**3/4 + 45*s**2/4 + 43*s/4 + 7/2.
(s + 1)**3*(s + 14)/4
Suppose -2*o**3 - 8*o**2 - 10*o - 4 = 0. Calculate o.
-2, -1
Determine d, given that -5*d**5 + 25*d**4 - 30*d**3 - 10*d**2 + 35*d - 15 = 0.
-1, 1, 3
Factor m**4/6 + 22*m**3 + 369*m**2/2.
m**2*(m + 9)*(m + 123)/6
Factor 3*g**3/5 - 39*g**2/5 + 6*g + 72/5.
3*(g - 12)*(g - 2)*(g