such that -p**4 + 9*p**3 - 4*p**2 - 36*p + 32 = 0.
-2, 1, 2, 8
Determine v, given that -6*v**2 + 248*v - 82 = 0.
1/3, 41
Determine a so that -a**3/2 + 143*a**2/2 + 293*a/2 - 435/2 = 0.
-3, 1, 145
Factor -4*o**3/5 + 808*o**2/5.
-4*o**2*(o - 202)/5
Suppose b**5/3 + 14*b**4/3 + 12*b**3 + 34*b**2/3 + 11*b/3 = 0. Calculate b.
-11, -1, 0
Determine a, given that -70*a**3/11 + 118*a**2/11 + 64*a/11 - 40/11 = 0.
-5/7, 2/5, 2
Factor -d**2/5 + 3838*d/5 - 3682561/5.
-(d - 1919)**2/5
Suppose -4*m**5 + 4*m**4 + 4*m**3 - 4*m**2 = 0. What is m?
-1, 0, 1
Factor -20*r**3 + 272*r**2 - 788*r - 360.
-4*(r - 9)*(r - 5)*(5*r + 2)
Factor 25*l**3/3 + 18130*l**2/3 - 14516*l/3 + 968.
(l + 726)*(5*l - 2)**2/3
What is v in -3*v**4/4 + 15*v**3/2 + 39*v**2/4 - 33*v/2 = 0?
-2, 0, 1, 11
Let 5*v**5 + 105*v**4 - 355*v**3 + 135*v**2 + 350*v - 240 = 0. Calculate v.
-24, -1, 1, 2
Factor 5*o**5 - 40*o**4 - 60*o**3 + 110*o**2 + 215*o + 90.
5*(o - 9)*(o - 2)*(o + 1)**3
Solve h**5 - 811*h**4 + 163210*h**3 + 494506*h**2 + 496133*h + 165649 = 0 for h.
-1, 407
Solve 9*k**4/8 + 3*k**3/8 - 15*k**2/8 - 3*k/8 + 3/4 = 0 for k.
-1, 2/3, 1
Factor 3*i**5 - 9*i**4 - 30*i**3.
3*i**3*(i - 5)*(i + 2)
Solve -6*y**5/11 - 284*y**4/11 + 194*y**3/11 + 96*y**2/11 = 0.
-48, -1/3, 0, 1
Factor -72*w**3 + 268*w**2 - 164*w + 24.
-4*(w - 3)*(2*w - 1)*(9*w - 2)
Solve -4*u**5 + 16*u**4 + 296*u**3 + 960*u**2 + 1116*u + 432 = 0.
-3, -1, 12
Let -2*z**3 + 2544*z**2 - 811530*z + 1612900 = 0. Calculate z.
2, 635
Factor -32*v**3/13 - 1648*v**2/13 - 818*v/13 - 102/13.
-2*(v + 51)*(4*v + 1)**2/13
Factor -j**2/7 + 926*j/7 - 214369/7.
-(j - 463)**2/7
Factor -d**4/3 - 44*d**3 - 3926*d**2/3 + 9844*d + 11109.
-(d - 7)*(d + 1)*(d + 69)**2/3
Factor 5*o**5 - 6035*o**4 + 2424050*o**3 - 322387910*o**2 - 652072135*o - 327254135.
5*(o - 403)**3*(o + 1)**2
Factor f**4/2 - 45*f**3 + 1933*f**2/2 + 2070*f + 1058.
(f - 46)**2*(f + 1)**2/2
Solve -36*w**5 + 1404*w**4 + 8140*w**3 - 9660*w**2 - 904*w + 1056 = 0 for w.
-6, -1/3, 1/3, 1, 44
Factor -c**2 - 338*c - 672.
-(c + 2)*(c + 336)
Factor 2*s**3/5 + 52*s**2/5 - 48*s.
2*s*(s - 4)*(s + 30)/5
What is k in 2*k**5/9 - 22*k**4/9 - 4*k**3/9 + 44*k**2/9 + 2*k/9 - 22/9 = 0?
-1, 1, 11
Solve -3*d**3/5 - 339*d**2/5 - 9744*d/5 - 9408/5 = 0 for d.
-56, -1
Let d**2/6 - 37*d/6 + 50 = 0. Calculate d.
12, 25
Factor 2*t**2 - 24*t - 216.
2*(t - 18)*(t + 6)
Solve 2*a**5/3 + 82*a**4/3 - 172*a**3/3 + 4*a**2/3 + 170*a/3 - 86/3 = 0.
-43, -1, 1
Find s, given that 5*s**3 - 310*s**2 - 5*s + 310 = 0.
-1, 1, 62
Determine f, given that -f**3 - f**2 + 14*f + 24 = 0.
-3, -2, 4
Factor -4*l**2 + 240*l - 464.
-4*(l - 58)*(l - 2)
Let -2*q**3/11 - 9332*q**2/11 - 10876440*q/11 + 21790224/11 = 0. Calculate q.
-2334, 2
Factor -w**3 + 3*w**2 + 10*w.
-w*(w - 5)*(w + 2)
Factor -4*o**3 + 20*o**2 + 128*o + 144.
-4*(o - 9)*(o + 2)**2
Let 4*f**2 + 3508*f = 0. What is f?
-877, 0
Find t, given that -12*t**3 - 33*t**2/2 - 9*t/2 = 0.
-1, -3/8, 0
Solve -3*b**3/2 + 102*b**2 + 3*b/2 - 102 = 0 for b.
-1, 1, 68
Factor 5*f**4 - 165*f**3 - 920*f**2 - 1140*f.
5*f*(f - 38)*(f + 2)*(f + 3)
Let 3*l**5/2 + 36*l**4 + 237*l**3/2 - 1386*l**2 - 1470*l = 0. Calculate l.
-14, -1, 0, 5
Factor -l**2 + 110*l - 3025.
-(l - 55)**2
Solve 5*d**2 + 50*d + 105 = 0.
-7, -3
Factor 2*y**2/3 + 38*y/3 + 68/3.
2*(y + 2)*(y + 17)/3
Let 2*m**2/3 + 2*m/3 - 308 = 0. Calculate m.
-22, 21
Factor -m**3 - 75*m**2 - 146*m.
-m*(m + 2)*(m + 73)
Factor -12*i**2 - 764*i - 504.
-4*(i + 63)*(3*i + 2)
Suppose 7*t**5/9 - 23*t**4/9 - 5*t**3/3 + 55*t**2/9 + 28*t/9 - 4/3 = 0. What is t?
-1, 2/7, 2, 3
Find k, given that -k**2/3 - 2*k/3 + 35/3 = 0.
-7, 5
Find c such that -5*c**2 - 185*c - 180 = 0.
-36, -1
Suppose -d**3 + 36*d**2 - 285*d - 722 = 0. Calculate d.
-2, 19
Suppose -5*w**3/6 + 47*w**2 + 173*w/6 - 19 = 0. Calculate w.
-1, 2/5, 57
Suppose -3*r**2 - 51*r = 0. What is r?
-17, 0
Determine d, given that 3*d**4 + 66*d**3 + 63*d**2 = 0.
-21, -1, 0
Solve -3*g**2 + 69*g - 180 = 0 for g.
3, 20
Factor -2*i**3 + 64*i**2 - 442*i - 1156.
-2*(i - 17)**2*(i + 2)
Factor 8*p**3/5 - 1124*p**2/5 + 112*p.
4*p*(p - 140)*(2*p - 1)/5
What is w in -w**3/3 + 34*w**2/3 + 24*w = 0?
-2, 0, 36
Factor -u**2/4 + 57*u - 3249.
-(u - 114)**2/4
Suppose -s**3/9 + s**2/3 + 289*s/9 + 95/3 = 0. Calculate s.
-15, -1, 19
Find f such that -2*f**5/13 + 6*f**4/13 + 18*f**3/13 + 10*f**2/13 = 0.
-1, 0, 5
What is v in 26*v**3/15 + 76*v**2/15 + 16*v/5 = 0?
-2, -12/13, 0
Find u such that 3*u**4 - 96*u**3 + 1128*u**2 - 5760*u + 10800 = 0.
6, 10
Factor -m**2 - 193*m + 390.
-(m - 2)*(m + 195)
Factor -3*q**5 - 81*q**4 - 474*q**3 - 1140*q**2 - 1224*q - 480.
-3*(q + 1)*(q + 2)**3*(q + 20)
Suppose c**2/8 + 129*c/8 - 695/4 = 0. What is c?
-139, 10
Determine f so that 1380*f**5 + 1136*f**4 - 236*f**3 + 8*f**2 = 0.
-1, 0, 1/23, 2/15
Factor 2*u**5 - 12*u**4 + 10*u**3.
2*u**3*(u - 5)*(u - 1)
Factor -3*o**5/7 + 375*o**4/7 - 1098*o**3/7.
-3*o**3*(o - 122)*(o - 3)/7
Suppose -2*g**2/5 - 268*g/5 - 8978/5 = 0. Calculate g.
-67
Find j, given that 4*j**2/5 - 532*j/5 + 528/5 = 0.
1, 132
Factor 2*y**2/3 - 220*y/3 - 226.
2*(y - 113)*(y + 3)/3
Suppose -r**4/2 - 10*r**3 - 131*r**2/2 - 152*r - 96 = 0. What is r?
-8, -3, -1
Factor x**4/5 - 3*x**3 + 78*x**2/5 - 32*x + 96/5.
(x - 6)*(x - 4)**2*(x - 1)/5
Solve -2*u**2 + 6*u - 4 = 0.
1, 2
What is m in -12*m**2 + 3681*m + 921 = 0?
-1/4, 307
Solve 3*z**4/4 + 45*z**3/4 - 144*z**2 + 420*z - 288 = 0.
-24, 1, 4
Find s, given that 3*s**5 - 12*s**4 + 12*s**3 + 6*s**2 - 15*s + 6 = 0.
-1, 1, 2
Let -3*x**2 + 6*x + 24 = 0. Calculate x.
-2, 4
Let -4*y**5 + 111*y**4 + 964*y**3 + 1754*y**2 + 1080*y + 175 = 0. What is y?
-5, -1, -1/4, 35
Let 6105125*n**2 + 22100*n + 20 = 0. Calculate n.
-2/1105
Suppose 3*d**5 + 24*d**4 + 3*d**3 - 354*d**2 - 816*d - 480 = 0. Calculate d.
-5, -4, -2, -1, 4
Find q such that -8*q**4/13 + 370*q**3/13 - 452*q**2/13 + 90*q/13 = 0.
0, 1/4, 1, 45
Find i such that -2*i**2/5 - 120*i - 9000 = 0.
-150
Let 5*p**5 + 110*p**4 + 185*p**3 - 320*p**2 - 380*p + 400 = 0. What is p?
-20, -2, 1
Factor -n**5 + 4*n**4 - 3*n**3.
-n**3*(n - 3)*(n - 1)
Factor -4*n**4/5 - 79*n**3/5 - 76*n**2 + 20*n.
-n*(n + 10)**2*(4*n - 1)/5
Factor 17*f**2/5 + 24*f/5 - 4.
(f + 2)*(17*f - 10)/5
Factor 4*g**3 - 332*g**2 + 328*g.
4*g*(g - 82)*(g - 1)
Factor 3*f**4 + 15*f**3 + 24*f**2 + 12*f.
3*f*(f + 1)*(f + 2)**2
What is g in 5*g**3/4 + 17685*g**2/4 + 20850615*g/4 + 8194291695/4 = 0?
-1179
What is x in -5*x**3 - 37*x**2 - 74*x - 24 = 0?
-4, -3, -2/5
Solve 42*o**5 + 604*o**4 + 1616*o**3 - 4096*o**2 + 1024*o = 0.
-8, 0, 2/7, 4/3
Find w, given that 5*w**5 - 50*w**4 - 55*w**3 + 460*w**2 + 860*w + 400 = 0.
-2, -1, 4, 10
Factor 5*o**4 + 30*o**3 - 20*o**2 - 120*o.
5*o*(o - 2)*(o + 2)*(o + 6)
Solve 5*l**5 + 20*l**4 + 15*l**3 - 20*l**2 - 20*l = 0.
-2, -1, 0, 1
Suppose 4*y**3/7 + 36*y**2/7 + 72*y/7 = 0. Calculate y.
-6, -3, 0
Suppose 2*x**3/3 - 124*x**2 + 5640*x + 35344/3 = 0. Calculate x.
-2, 94
Let -4*i**4 - 40*i**3 - 132*i**2 - 144*i = 0. What is i?
-4, -3, 0
Find g such that -3*g**5/5 + 471*g**4/5 - 18246*g**3/5 - 19194*g**2/5 + 18249*g/5 + 18723/5 = 0.
-1, 1, 79
Suppose x**4 + 624*x**3 + 97344*x**2 = 0. What is x?
-312, 0
Factor k**3 - 10*k**2 + 17*k - 8.
(k - 8)*(k - 1)**2
What is c in c**4/3 + 15*c**3 - 148*c**2/3 - 64*c = 0?
-48, -1, 0, 4
Factor -3*l**3/5 - 63*l**2/5 - 216*l/5 + 1296/5.
-3*(l - 3)*(l + 12)**2/5
Solve -12*w**5/7 - 3*w**4/7 + 36*w**3/7 - 15*w**2/7 - 6*w/7 = 0.
-2, -1/4, 0, 1
Factor -3*f**4 - 36*f**3 + 3*f**2 + 36*f.
-3*f*(f - 1)*(f + 1)*(f + 12)
Find w such that 4*w**2 - 2664*w + 2660 = 0.
1, 665
Suppose 5*h**5 - 5*h**4 - 90*h**3 + 260*h**2 - 200*h = 0. Calculate h.
-5, 0, 2
Find c, given that -675*c**3/7 + 3870*c**2/7 + 1068*c/7 + 72/7 = 0.
-2/15, 6
Suppose 2*q**5 - 20*q**4 + 78*q**3 - 148*q**2 + 136*q - 48 = 0. Calculate q.
1, 2, 3
Let -x**5 + 4*x**4 - 3*x**3 - 4*x**2 + 4*x = 0. What is x?
-1, 0, 1, 2
Factor 36*o**3 + 1704*o**2 + 2224*o + 736.
4*(o + 46)*(3*o + 2)**2
Find t, given that -2*t**2/3 + 428*t/3 - 22898/3 = 0.
107
Determine k so that 3332*k**4 - 8988*k**3 + 3656*k**2 + 1968*k + 32 = 0.
-2/7, -2/119, 1, 2
Find q such that -20*q**2 - 8365*q = 0.
-1673/4, 0
Factor 3*l**5/4 + 15*l**4/2 + 51*l**3/4 + 6*l**2.
3*l**2*(l + 1)**2*(l + 8)/4
Factor 2*j**4/7 - 6*j**2 + 40*j/7.
2*j*(j - 4)*(j - 1)*(j + 5)/7
Determine a so that