*n*(n - 1)**2*(n + 2)**2
Factor 3*y**3 + 246*y**2/7 + 663*y/7 - 30.
3*(y + 5)*(y + 7)*(7*y - 2)/7
Suppose -2*b**2 + 332*b + 334 = 0. Calculate b.
-1, 167
Factor -5*s**3 + 35490*s**2 - 83969340*s + 66223819480.
-5*(s - 2366)**3
Factor y**4/2 - 9*y**3 - 19*y**2/2.
y**2*(y - 19)*(y + 1)/2
Let -12*q**2/7 + 127*q/7 + 55/7 = 0. What is q?
-5/12, 11
Factor 2*j**2/13 - 34*j/13 + 84/13.
2*(j - 14)*(j - 3)/13
Determine n so that -5*n**5/3 + 11*n**4 + 49*n**3/3 - 67*n**2 - 296*n/3 - 28 = 0.
-2, -1, -2/5, 3, 7
Suppose -3*z**3/4 - 81*z**2/4 - 429*z/4 + 513/4 = 0. Calculate z.
-19, -9, 1
Factor -p**4/2 + 83*p**3/2.
-p**3*(p - 83)/2
Factor j**2 - 1.
(j - 1)*(j + 1)
Solve 3*b**3/2 - 132*b**2 = 0 for b.
0, 88
Find z, given that 3*z**3/5 + 11*z**2/5 - 67*z/5 + 21/5 = 0.
-7, 1/3, 3
Factor -3*r**2/8 + 447*r/4 + 897/8.
-3*(r - 299)*(r + 1)/8
What is c in -532*c**2/9 + 526*c/9 + 2/3 = 0?
-3/266, 1
Solve 4*f**5 + 36*f**4 + 76*f**3 - 84*f**2 - 368*f - 240 = 0 for f.
-5, -3, -2, -1, 2
Let 8712*c**3/5 - 19272*c**2/5 + 3794*c/5 - 196/5 = 0. What is c?
7/66, 2
Find b such that 2*b**4/7 - 176*b**3/7 + 172*b**2/7 + 176*b/7 - 174/7 = 0.
-1, 1, 87
Solve 3*c**5/5 + 427*c**4/5 - 146*c**3 - 284*c**2 + 2872*c/5 - 1152/5 = 0.
-144, -2, 2/3, 1, 2
Suppose 2*v**5/9 + 16*v**4/9 + 4*v**3 + 8*v**2/9 - 38*v/9 - 8/3 = 0. Calculate v.
-4, -3, -1, 1
Find x, given that 2*x**5/5 - 72*x**4/5 + 128*x**3/5 + 276*x**2/5 - 26*x - 204/5 = 0.
-1, 1, 3, 34
Find u, given that -32*u**2 - 916*u + 348 = 0.
-29, 3/8
Factor -2*k**3/3 - 116*k**2 - 6656*k - 376832/3.
-2*(k + 46)*(k + 64)**2/3
Factor -2*a**3 + 42*a**2 - 216*a.
-2*a*(a - 12)*(a - 9)
Let -7*b**4/8 - 153*b**3/4 - 111*b**2/2 + 313*b - 84 = 0. Calculate b.
-42, -4, 2/7, 2
Factor -i**2/6 - 9*i - 48.
-(i + 6)*(i + 48)/6
Suppose 5*x**5/2 - 455*x**4/2 + 885*x**3 - 1315*x**2 + 1745*x/2 - 435/2 = 0. What is x?
1, 87
Factor q**4/3 - 299*q**3/3 + 198*q**2.
q**2*(q - 297)*(q - 2)/3
Solve -2*g**2/17 + 1004*g/17 - 2994/17 = 0.
3, 499
Factor -4*a**5 + 508*a**4 - 22140*a**3 + 356372*a**2 - 1102736*a.
-4*a*(a - 41)**3*(a - 4)
Factor -4*z**3 - 956*z**2 + 16064*z - 65280.
-4*(z - 8)**2*(z + 255)
Factor -2*x**3/25 + 2*x**2 - 94*x/25 + 46/25.
-2*(x - 23)*(x - 1)**2/25
Factor -v**5/2 - v**4 + 13*v**3 + 36*v**2 - 81*v/2 - 135.
-(v - 5)*(v - 2)*(v + 3)**3/2
Factor 3*z**2/4 + 21*z/2 + 36.
3*(z + 6)*(z + 8)/4
What is x in x**4/5 - 6*x**3 - 132*x**2/5 - 136*x/5 = 0?
-2, 0, 34
Solve -2*f**4/3 + 1048*f**3/3 + 4214*f**2/3 + 5276*f/3 + 704 = 0 for f.
-2, -1, 528
Suppose -2*n**4 - 12*n**3 - 22*n**2 - 12*n = 0. Calculate n.
-3, -2, -1, 0
Suppose 4*d**3 - 10848*d**2 + 9806592*d - 2955053056 = 0. What is d?
904
Factor u**2/2 - 4*u - 9/2.
(u - 9)*(u + 1)/2
Factor 3*v**4/8 + 165*v**3/2 - 663*v**2/8.
3*v**2*(v - 1)*(v + 221)/8
Find r such that r**3/4 + 11*r**2 + 459*r/4 = 0.
-27, -17, 0
What is u in u**3 + 81*u**2 + 159*u + 79 = 0?
-79, -1
Solve -3*t**3/2 + 9*t**2/2 - 9*t/2 + 3/2 = 0 for t.
1
Solve 4*v**5/7 + 16*v**4/7 - 20*v**3/7 - 80*v**2/7 + 16*v/7 + 64/7 = 0.
-4, -2, -1, 1, 2
Find m, given that 12*m**3 - 237*m**2 - 60*m = 0.
-1/4, 0, 20
Find c such that -33*c**4 + 4999*c**3 - 188026*c**2 - 97888*c - 11552 = 0.
-1/3, -2/11, 76
Factor -5*y**2 + 41650*y - 86736125.
-5*(y - 4165)**2
Factor -9*z**4/4 + 141*z**3/4 - 45*z**2/2.
-3*z**2*(z - 15)*(3*z - 2)/4
Suppose -s**5 - 10*s**4 + 177*s**3 - 446*s**2 + 280*s = 0. What is s?
-20, 0, 1, 2, 7
Solve -l**2/3 + 80*l/3 - 511/3 = 0 for l.
7, 73
Find n, given that -9*n**4/7 + 12*n**3/7 - 4*n**2/7 = 0.
0, 2/3
Factor 2*u**4 - 74*u**3 + 70*u**2 + 74*u - 72.
2*(u - 36)*(u - 1)**2*(u + 1)
Determine b, given that 9*b**4 + 48*b**3 + 87*b**2 + 60*b + 12 = 0.
-2, -1, -1/3
What is r in -r**5/4 - r**4/2 + 15*r**3/4 + 9*r**2 = 0?
-3, 0, 4
Factor 2*k**4/11 - 32*k**2/11.
2*k**2*(k - 4)*(k + 4)/11
Factor -3*u**3 + 159*u**2 - 456*u + 300.
-3*(u - 50)*(u - 2)*(u - 1)
Factor 2*w**2/5 + 732*w/5 + 66978/5.
2*(w + 183)**2/5
Factor -2*v**3/5 - 104*v**2/5 + 326*v/5 - 44.
-2*(v - 2)*(v - 1)*(v + 55)/5
Solve -2*z**3/9 + 22*z**2/3 + 2*z/9 - 22/3 = 0 for z.
-1, 1, 33
Solve -5*w**5 - 100*w**4 - 380*w**3 + 1310*w**2 + 385*w - 1210 = 0 for w.
-11, -1, 1, 2
Determine j, given that -2*j**2/5 + 48*j/5 + 10 = 0.
-1, 25
Let 2*c**4/13 + 212*c**3/13 + 432*c**2 - 212*c/13 - 5618/13 = 0. Calculate c.
-53, -1, 1
Find s such that -s**5 + 11*s**3 - 6*s**2 - 28*s + 24 = 0.
-3, -2, 1, 2
Factor -87*p**3/2 - 85*p**2/2 + 88*p - 2.
-(p - 1)*(p + 2)*(87*p - 2)/2
Factor -3*m**4/7 - 9*m**3/7 + 21*m**2 - 135*m/7.
-3*m*(m - 5)*(m - 1)*(m + 9)/7
Factor -5*i**3 + 410*i**2 + 20*i - 1640.
-5*(i - 82)*(i - 2)*(i + 2)
Solve 3*h**3/2 - 9*h**2/2 - 9*h + 12 = 0.
-2, 1, 4
Solve 4*m**3 + 92*m**2 - 196*m + 100 = 0 for m.
-25, 1
What is p in -p**4/7 + 3*p**3/7 + 3*p**2/7 - 11*p/7 + 6/7 = 0?
-2, 1, 3
Suppose 12*o**3 + 88*o**2 + 172*o + 48 = 0. Calculate o.
-4, -3, -1/3
Factor -o**3 + o**2 + 4*o - 4.
-(o - 2)*(o - 1)*(o + 2)
Find k, given that 6*k**3/5 - 348*k**2/5 + 5046*k/5 = 0.
0, 29
Let 5*l**5 - 150*l**4 + 1330*l**3 - 1540*l**2 - 16335*l - 13310 = 0. Calculate l.
-2, -1, 11
Factor 14*w**3/17 - 584*w**2/17 - 168*w/17.
2*w*(w - 42)*(7*w + 2)/17
Factor r**3/4 - 17*r**2/4 + 25*r/2 + 44.
(r - 11)*(r - 8)*(r + 2)/4
Factor 2*d**4/5 + 1128*d**3/5 + 238572*d**2/5 + 22425768*d/5 + 790508322/5.
2*(d + 141)**4/5
Solve 2*v**4/9 + 68*v**3/9 + 214*v**2/3 + 1088*v/9 + 512/9 = 0.
-16, -1
Find g, given that -25*g**4 - 135*g**3 + 464*g**2 - 432*g + 128 = 0.
-8, 4/5, 1
Factor -8*a**3 - 852*a**2 - 2088*a - 832.
-4*(a + 2)*(a + 104)*(2*a + 1)
Factor 3*v**3/4 + 3*v**2/2 - 3*v - 6.
3*(v - 2)*(v + 2)**2/4
Find a such that -a**4/4 - 1159*a**3 - 2684243*a**2/2 + 2687721*a - 5377761/4 = 0.
-2319, 1
Factor -3*j**5 - 3*j**4 + 24*j**3 + 36*j**2.
-3*j**2*(j - 3)*(j + 2)**2
Factor -h**3 - 8*h**2 - 11*h + 20.
-(h - 1)*(h + 4)*(h + 5)
What is u in 2*u**3/3 + 44*u**2/3 - 422*u/3 - 464/3 = 0?
-29, -1, 8
Factor s**2/6 + 15*s/2 + 22/3.
(s + 1)*(s + 44)/6
What is f in f**3/8 - 3*f**2/8 - f/2 + 3/2 = 0?
-2, 2, 3
Factor -17*i**2/5 + 171*i/5 - 2.
-(i - 10)*(17*i - 1)/5
Solve k**3/2 - 43*k**2/2 - k/2 + 43/2 = 0.
-1, 1, 43
Factor -20*l**4 - 2415*l**3 + 605*l**2.
-5*l**2*(l + 121)*(4*l - 1)
Solve -3481*s**5/8 + 3363*s**4/4 - 3013*s**3/8 - 57*s**2/2 - s/2 = 0 for s.
-2/59, 0, 1
Suppose l**4/7 + 2*l**3/7 - 15*l**2/7 + 4*l/7 + 20/7 = 0. Calculate l.
-5, -1, 2
Solve -5*k**3 + 10*k**2 - 5*k = 0 for k.
0, 1
Factor -3*y**5 + 21*y**4 + 207*y**3 + 351*y**2.
-3*y**2*(y - 13)*(y + 3)**2
Factor -o**2/3 - 6*o - 56/3.
-(o + 4)*(o + 14)/3
Factor v**2/4 + 43*v/4 - 45/2.
(v - 2)*(v + 45)/4
Find n such that -12*n**3/11 - 7246*n**2/11 + 8468*n/11 - 110 = 0.
-605, 1/6, 1
Determine p so that 26*p**2 - 74*p - 12 = 0.
-2/13, 3
Factor -3*k**2/5 + 114*k - 5415.
-3*(k - 95)**2/5
Factor -2*c**3/7 - 342*c**2/7 + 11610*c/7 - 90450/7.
-2*(c - 15)**2*(c + 201)/7
Factor 5*c**4 - 1770*c**3 + 161865*c**2 - 923940*c + 1362420.
5*(c - 174)**2*(c - 3)**2
Solve -h**4/4 + 5*h**3/4 + h**2/2 - 6*h = 0 for h.
-2, 0, 3, 4
Let -3*q**3/8 + 9*q**2/2 + 81*q/8 + 21/4 = 0. Calculate q.
-1, 14
Suppose -3*p**5/5 + 33*p**4/5 + 24*p**3 + 84*p**2/5 = 0. What is p?
-2, -1, 0, 14
Let -2*t**2/9 - 5176*t/9 + 1726/3 = 0. What is t?
-2589, 1
Suppose 2*m**4 - 128*m**3/11 - 354*m**2/11 - 236*m/11 - 32/11 = 0. What is m?
-1, -2/11, 8
Suppose 3*k**2 + 354*k + 351 = 0. What is k?
-117, -1
Factor 2*p**4/15 - 16*p**3/15 + 38*p**2/15 - 8*p/5.
2*p*(p - 4)*(p - 3)*(p - 1)/15
Factor 2*n**3 - 52*n**2 - 2*n + 52.
2*(n - 26)*(n - 1)*(n + 1)
Factor -16*o**2 + 468*o - 560.
-4*(o - 28)*(4*o - 5)
What is y in -2*y**3/5 - 3934*y**2/5 - 387302*y - 1932578/5 = 0?
-983, -1
Factor -4*i**3 - 17*i**2/3 - 2*i.
-i*(3*i + 2)*(4*i + 3)/3
Factor 2*q**2/13 + 9280*q/13 + 10764800/13.
2*(q + 2320)**2/13
Determine r so that -3*r**5/4 + 2901*r**4/4 + 3*r**3/2 - 2901*r**2/2 - 3*r/4 + 2901/4 = 0.
-1, 1, 967
Factor 13*x**3 + 3057*x**2 + 6528*x + 932.
(x + 2)*(x + 233)*(13*x + 2)
Factor -2*v**2/17 + 34944*v/17 - 152635392/17.
-2*(v - 8736)**2/17
Find q such that -3*q**2/7 - 6186*q/7 - 3188883/7 = 0.
-1031
Determine m, given that -m**4 - 19*m**3 - 51*m**2 - 49*m - 16 = 0.
-16, -1
Determine t so that 2*t**5/9 - 34*t**4/9 - 2*t**3/9 + 34*t**2/9 = 0.
-1, 0, 1, 17
Find u, given that 128*u**3/9 - 416*u**2/9 + 370*u/9 - 100/9 = 0.
5/8, 2
Solve -2*a