*p**5/3 - 16*p**4 + 232*p**3/3 - 368*p**2/3 + 84*p - 64/3.
-4*(p - 1)**4*(p + 16)/3
Factor -3*b**2/4 + 513*b - 87723.
-3*(b - 342)**2/4
What is r in 49*r**5/2 + 413*r**4/2 + 527*r**3 + 595*r**2 + 625*r/2 + 125/2 = 0?
-5, -1, -5/7
Let 3*f**4 + 1329*f**3 + 199665*f**2 + 10659675*f + 73167000 = 0. What is f?
-145, -8
Factor 4*q**2 + 52864*q + 174662656.
4*(q + 6608)**2
Solve -5*c**3 + 45*c**2 + 60*c - 100 = 0.
-2, 1, 10
Find c such that 24*c**3/11 + 90*c**2/11 + 102*c/11 + 36/11 = 0.
-2, -1, -3/4
Determine p so that -4*p**3 - 152*p**2 - 556*p - 408 = 0.
-34, -3, -1
Let 2*g**2/11 + 14396*g/11 = 0. Calculate g.
-7198, 0
What is t in -6*t**2/19 + 124*t/19 + 42/19 = 0?
-1/3, 21
Factor -3*u**3 + 1419*u**2 - 4230*u.
-3*u*(u - 470)*(u - 3)
Let -3*g**3 + 435*g**2 - 15984*g + 15552 = 0. Calculate g.
1, 72
Factor -33*u**5/5 - 21*u**4 - 117*u**3/5 - 51*u**2/5 - 6*u/5.
-3*u*(u + 1)**3*(11*u + 2)/5
Solve b**5/5 + 3*b**4/5 - 119*b**3/5 - 123*b**2/5 + 118*b/5 + 24 = 0.
-12, -1, 1, 10
Find q, given that q**2/2 + 36*q + 136 = 0.
-68, -4
Factor y**2 + 600*y - 601.
(y - 1)*(y + 601)
Determine t, given that 3*t**2 + 147*t + 282 = 0.
-47, -2
Factor 332750*t**3 - 18150*t**2 + 330*t - 2.
2*(55*t - 1)**3
Suppose 6*y**4/11 - 9974*y**3/11 + 5527812*y**2/11 - 1022030280*y/11 + 340062928/11 = 0. What is y?
1/3, 554
Determine w, given that w**3/5 + 1179*w**2/5 + 1178*w/5 = 0.
-1178, -1, 0
Solve -4*i**3/5 + 5*i**2 + 21*i/5 = 0.
-3/4, 0, 7
Factor 2*y**4/7 - 52*y**3/7 + 426*y**2/7 - 1144*y/7 + 968/7.
2*(y - 11)**2*(y - 2)**2/7
Factor -5*s**2 - 660*s - 21780.
-5*(s + 66)**2
Factor 438*n**2/5 + 429*n/5 - 9/5.
3*(n + 1)*(146*n - 3)/5
Determine i so that -2*i**4/5 + 28*i**3/5 - 146*i**2/5 + 336*i/5 - 288/5 = 0.
3, 4
Factor v**5 - 14*v**4 + 76*v**3 - 200*v**2 + 256*v - 128.
(v - 4)**2*(v - 2)**3
Determine h, given that -5*h**2 - 3310*h - 547805 = 0.
-331
Find b such that b**4/2 + 3*b**3/2 - 10*b**2 - 24*b + 32 = 0.
-4, 1, 4
Let -4*w**4/7 + 100*w**3/7 - 72*w**2 + 944*w/7 - 608/7 = 0. What is w?
2, 19
Determine c, given that -c**2/4 + 29*c/2 - 57/4 = 0.
1, 57
Factor 5*p**2 + 275*p + 1020.
5*(p + 4)*(p + 51)
Solve -j**4/6 + j**3 + 5*j**2/2 + 4*j/3 = 0.
-1, 0, 8
Suppose z**5/3 + 20*z**4 + 57*z**3 - 4*z**2/3 - 76*z = 0. Calculate z.
-57, -2, 0, 1
Solve 3*x**5 - 18*x**4 + 3*x**3 + 72*x**2 - 60*x = 0.
-2, 0, 1, 2, 5
Solve -4*o**2 + 352*o = 0 for o.
0, 88
Factor 2*d**2 + 1256*d + 197192.
2*(d + 314)**2
Factor -y**4/6 - 5*y**3/6 - y**2/2 + 3*y/2.
-y*(y - 1)*(y + 3)**2/6
Suppose 3*o**4/5 - 213*o**3/5 - 903*o**2/5 + 213*o/5 + 180 = 0. Calculate o.
-4, -1, 1, 75
Factor l**4/4 + 15*l**3/4 - 71*l**2/4 + 93*l/4 - 19/2.
(l - 2)*(l - 1)**2*(l + 19)/4
Let -o**4 + 441*o**3/2 + 223*o**2/2 - 441*o/2 - 221/2 = 0. What is o?
-1, -1/2, 1, 221
Solve 25*y**4 + 115*y**3 + 150*y**2 + 20*y - 40 = 0.
-2, -1, 2/5
Suppose 5*c**5 - 30*c**4 + 55*c**3 - 10*c**2 - 60*c + 40 = 0. What is c?
-1, 1, 2
Determine b so that 3*b**3 - 33*b**2 - 75*b - 39 = 0.
-1, 13
Factor -8*g**5/3 + 2*g**4/3.
-2*g**4*(4*g - 1)/3
Factor 2*h**2 - 88*h + 936.
2*(h - 26)*(h - 18)
Suppose 2*j**5/7 + 2*j**4 - 36*j**3/7 + 4*j**2/7 + 34*j/7 - 18/7 = 0. Calculate j.
-9, -1, 1
Let -2*v**3/11 + 30*v**2/11 - 150*v/11 + 250/11 = 0. What is v?
5
Factor -q**5/8 + q**4/4 + q**3 + q**2/4 - 7*q/8 - 1/2.
-(q - 4)*(q - 1)*(q + 1)**3/8
Solve o**5 - 50*o**4 + 49*o**3 = 0 for o.
0, 1, 49
Factor 2*d**4/3 + 4*d**3/3 - 8*d**2 + 28*d/3 - 10/3.
2*(d - 1)**3*(d + 5)/3
Determine y, given that 5*y**2 + 11755*y + 11750 = 0.
-2350, -1
Let 2*m**2 - 22*m + 60 = 0. What is m?
5, 6
Let 3*b**4/4 + 39*b**3/4 + 69*b**2/4 + 33*b/4 = 0. What is b?
-11, -1, 0
Suppose h**3/2 - 13*h**2/2 - 67*h - 60 = 0. Calculate h.
-6, -1, 20
Factor -3*s**5 + 18*s**4 + 21*s**3.
-3*s**3*(s - 7)*(s + 1)
Factor 3*k**3 - 18*k**2 - 21*k.
3*k*(k - 7)*(k + 1)
Let 6*b**3 - 1017*b**2 + 507*b = 0. What is b?
0, 1/2, 169
Factor 2*z**2 - 14*z - 60.
2*(z - 10)*(z + 3)
Let y**5 - 13*y**4 - 2*y**3 + 26*y**2 + y - 13 = 0. Calculate y.
-1, 1, 13
Factor k**3 - 8*k**2 - 20*k.
k*(k - 10)*(k + 2)
Let 3*z**3/4 - 3*z**2/4 - 195*z/4 + 675/4 = 0. What is z?
-9, 5
Factor 4*c**2/3 + 1528*c + 437772.
4*(c + 573)**2/3
Factor 5*v**4 - 185*v**3 + 1965*v**2 - 4675*v + 2890.
5*(v - 17)**2*(v - 2)*(v - 1)
Solve -2*w**4/3 + 6*w**3 - 16*w**2 + 40*w/3 = 0.
0, 2, 5
Suppose -4*x**2 - 408*x = 0. Calculate x.
-102, 0
Let -3*d**3 - 165*d**2 + 339*d - 171 = 0. What is d?
-57, 1
Factor 2*k**2 - 422*k + 836.
2*(k - 209)*(k - 2)
Factor 2*t**2 - 10*t - 600.
2*(t - 20)*(t + 15)
Suppose -12*q**5 - 532*q**4 - 2088*q**3 - 288*q**2 + 1280*q = 0. What is q?
-40, -4, -1, 0, 2/3
Factor 2*z**3/9 + 2*z**2 + 22*z/9 - 14/3.
2*(z - 1)*(z + 3)*(z + 7)/9
Solve 2*d**5/11 - 30*d**4/11 - 4*d**3/11 + 60*d**2/11 + 2*d/11 - 30/11 = 0 for d.
-1, 1, 15
Factor 4*b**5 - 68*b**4 - 152*b**3 - 8*b**2 + 148*b + 76.
4*(b - 19)*(b - 1)*(b + 1)**3
Factor 5*y**3 + 65*y**2 + 235*y + 175.
5*(y + 1)*(y + 5)*(y + 7)
Solve t**4/6 + 7*t**3/3 - 1439*t**2/6 - 1736*t + 92256 = 0.
-31, 24
Suppose -2*q**2 + 64*q - 174 = 0. What is q?
3, 29
Factor 2*y**3 + 13*y**2 - 74*y - 40.
(y - 4)*(y + 10)*(2*y + 1)
Solve s**3/9 + 4*s**2/3 + 41*s/9 + 10/3 = 0.
-6, -5, -1
Factor -2*h**3/7 - 46*h**2/7 - 86*h/7 - 6.
-2*(h + 1)**2*(h + 21)/7
Suppose 2*r**3 - 228*r**2 + 6720*r - 12544 = 0. Calculate r.
2, 56
Determine l, given that 2*l**5 - 76*l**4 - 264*l**3 + 684*l**2 + 2214*l = 0.
-3, 0, 3, 41
Factor -2*w**3/9 + 2*w**2/3 + 50*w/9 + 14/3.
-2*(w - 7)*(w + 1)*(w + 3)/9
Find x, given that -2*x**2/11 - 1912*x/11 - 456968/11 = 0.
-478
Let -5*p**2 + 555*p + 560 = 0. What is p?
-1, 112
Determine m so that 2*m**3/3 - 566*m**2 + 160178*m - 45330374/3 = 0.
283
Factor 10*h**3 - 265*h**2 + 835*h - 690.
5*(h - 23)*(h - 2)*(2*h - 3)
Factor -2*x**2 + 82*x - 156.
-2*(x - 39)*(x - 2)
Find m such that -2*m**5/5 + 4*m**3/5 - 2*m/5 = 0.
-1, 0, 1
Suppose z**4/4 + 47*z**3/4 + 343*z**2/2 + 760*z + 600 = 0. What is z?
-20, -6, -1
Find m such that -2*m**3/15 + 94*m**2/15 - 182*m/15 + 6 = 0.
1, 45
Suppose 5*k**3 + 120*k**2 - 125*k = 0. Calculate k.
-25, 0, 1
Let -f**2/5 - 16*f/5 + 36/5 = 0. Calculate f.
-18, 2
Determine s, given that -s**2 - 1380*s - 476100 = 0.
-690
Factor 2*b**2 - 3*b - 2.
(b - 2)*(2*b + 1)
What is l in -5*l**4 - 5*l**3 + 35*l**2 + 5*l - 30 = 0?
-3, -1, 1, 2
Solve -o**3/8 + 45*o**2/8 + o/8 - 45/8 = 0.
-1, 1, 45
Factor 4*b**5 + 28*b**4 - 160*b**3 + 176*b**2.
4*b**2*(b - 2)**2*(b + 11)
Factor -3*l**3 - 159*l**2 + 327*l - 165.
-3*(l - 1)**2*(l + 55)
Factor -x**2 - 939*x + 1882.
-(x - 2)*(x + 941)
Determine d, given that -4*d**4 + 436*d**3 + 4*d**2 - 436*d = 0.
-1, 0, 1, 109
Determine x so that 2*x**4/9 + 2734*x**3/9 - 304*x**2 = 0.
-1368, 0, 1
What is k in 16*k**5 - 44*k**4 - 220*k**3 + 188*k**2 + 60*k = 0?
-3, -1/4, 0, 1, 5
Factor d**3/2 - 2*d**2 - 5*d/2.
d*(d - 5)*(d + 1)/2
Factor -9*d**3 - 348*d**2 - 225*d + 114.
-3*(d + 1)*(d + 38)*(3*d - 1)
Let 5*y**3 + 2145*y**2 - 4310*y = 0. What is y?
-431, 0, 2
Factor -4*n**2 + 772*n + 776.
-4*(n - 194)*(n + 1)
Solve -4*j**3 - 1260*j**2 - 4988*j - 3732 = 0 for j.
-311, -3, -1
Factor -3*r**5 + 15*r**4 - 21*r**3 + 9*r**2.
-3*r**2*(r - 3)*(r - 1)**2
Factor -5*x**5 + 12*x**4 - 9*x**3 + 2*x**2.
-x**2*(x - 1)**2*(5*x - 2)
Suppose 5*l**4/6 + 5*l**3/3 - 20*l**2/3 = 0. Calculate l.
-4, 0, 2
Find l, given that -l**4 + 27*l**3 - 195*l**2 + 169*l = 0.
0, 1, 13
Find g such that 4*g**4 - 904*g**3 + 69264*g**2 - 1883744*g + 6483584 = 0.
4, 74
Factor -2*u**2/3 + 20*u/3 - 32/3.
-2*(u - 8)*(u - 2)/3
Factor 4*j**2 + 12672*j + 10036224.
4*(j + 1584)**2
Determine x so that -2*x**4/13 + 2*x**3/13 + 4*x**2/13 = 0.
-1, 0, 2
Factor -3*i**4 - 57*i**3 - 51*i**2 + 57*i + 54.
-3*(i - 1)*(i + 1)**2*(i + 18)
Solve l**3 + 5*l**2 + 7*l + 3 = 0 for l.
-3, -1
Determine h, given that -h**2/3 - 1978*h/3 - 978121/3 = 0.
-989
Factor -4*t**4 + 256*t**3 - 2844*t**2 - 44064*t + 46656.
-4*(t - 36)**2*(t - 1)*(t + 9)
Let -129*c**2/2 - 126*c + 6 = 0. What is c?
-2, 2/43
What is p in -p**3/6 - 4*p**2/3 + 3*p/2 = 0?
-9, 0, 1
What is q in -q**3/3 - 55*q**2/6 - 379*q/6 - 88/3 = 0?
-16, -11, -1/2
Factor -3*p**4 + 426*p**3 - 11847*p**2 - 232596*p - 894348.
-3*(p - 78)**2*(p + 7)**2
Factor c**2/5 - 34*c/5 + 289/5.
(c - 17)**2/5
Let -6*x**4/7 - 600*x**3/7 - 2592*x**2 - 93312*x/7 + 2239488/7 = 0. Calculate x.
-36, 8
Let 