 = 0.
-4, 1, 2, 5
Solve 5*k**3 + 1395*k**2 + 5515*k + 4125 = 0.
-275, -3, -1
Find v such that v**2/2 + 15*v/2 - 8 = 0.
-16, 1
Determine h so that 5*h**4 + 610*h**3 + 2960*h**2 + 4110*h + 1755 = 0.
-117, -3, -1
Determine k so that -5*k**4 + 85*k**3 - 255*k**2 - 785*k - 440 = 0.
-1, 8, 11
Let -y**3 - y**2 + 16*y + 16 = 0. What is y?
-4, -1, 4
Find s such that -s**3/3 + 19*s**2 - 72*s + 212/3 = 0.
2, 53
Factor 2*b**2/15 - 22*b/5 + 108/5.
2*(b - 27)*(b - 6)/15
Find x such that -6*x**5/5 - 34*x**4 - 362*x**3/5 + 66*x**2/5 + 368*x/5 + 104/5 = 0.
-26, -2, -1, -1/3, 1
Factor -2*f**5 + 8*f**4 - 28*f**2 + 34*f - 12.
-2*(f - 3)*(f - 1)**3*(f + 2)
Factor -y**4/2 - 53*y**3 - 1456*y**2 - 2704*y.
-y*(y + 2)*(y + 52)**2/2
Factor -3*s**3/5 + 9*s**2/5 + 27*s + 243/5.
-3*(s - 9)*(s + 3)**2/5
Factor -5*u**2 - 1120*u - 1115.
-5*(u + 1)*(u + 223)
Find w such that w**3 + 15*w**2 = 0.
-15, 0
Suppose f**3/9 + 5*f**2/3 + 44*f/9 - 20/3 = 0. Calculate f.
-10, -6, 1
Factor -12*i**5/5 - 14*i**4/5 + 64*i**3/5 + 156*i**2/5 + 124*i/5 + 34/5.
-2*(i + 1)**4*(6*i - 17)/5
Factor -4*a**2 + 2044*a - 6096.
-4*(a - 508)*(a - 3)
Suppose -f**4 - 7*f**3 - 8*f**2 + 16*f = 0. Calculate f.
-4, 0, 1
Find i such that -6*i**4 - 15*i**3 - 3*i**2 + 6*i = 0.
-2, -1, 0, 1/2
Solve -5*c**4 - 20*c**3 + 65*c**2 + 20*c - 60 = 0.
-6, -1, 1, 2
Solve 54*h**5/5 + 18*h**4 + 3*h**3/2 - 8*h**2 - 5*h/2 - 1/5 = 0.
-1, -1/6, 2/3
Find d, given that d**2/3 - 8*d - 195 = 0.
-15, 39
Suppose z**4/3 - 125*z**3/6 + 181*z**2/6 + 61*z/3 = 0. What is z?
-1/2, 0, 2, 61
Factor -3*z**3 + 69*z**2 + 312*z + 324.
-3*(z - 27)*(z + 2)**2
Let -v**4 + 11*v**3 + 29*v**2 - 39*v = 0. What is v?
-3, 0, 1, 13
Find p, given that 5*p**2 - 85*p - 300 = 0.
-3, 20
Determine m, given that -m**4 + 7*m**2 + 6*m = 0.
-2, -1, 0, 3
Factor 27*t**3 + 573*t**2 + 2286*t + 480.
3*(t + 5)*(t + 16)*(9*t + 2)
Factor 5*c**3 + 5*c**2 - 880*c - 4800.
5*(c - 15)*(c + 8)**2
Determine b so that 2*b**2/3 + 78*b - 476/3 = 0.
-119, 2
Suppose -4*s**3 - 6856*s**2 - 2930928*s + 5889312 = 0. What is s?
-858, 2
Let -t**2/5 + 7*t/5 + 18/5 = 0. Calculate t.
-2, 9
Determine b so that 2*b**3 + 648*b**2 + 52488*b = 0.
-162, 0
Factor 2*d**2/17 - 26*d - 444/17.
2*(d - 222)*(d + 1)/17
Factor -2*n**3 + 1148*n**2 - 165880*n + 327184.
-2*(n - 286)**2*(n - 2)
Factor -h**3 + 67*h**2 - 1088*h - 1156.
-(h - 34)**2*(h + 1)
Find m such that 3*m**5/2 - 3*m**4 + 3*m**3/2 = 0.
0, 1
Suppose -5*u**5/4 - 35*u**4/4 - 75*u**3/4 - 65*u**2/4 - 5*u = 0. What is u?
-4, -1, 0
What is p in -2*p**3/5 + 2*p**2/5 + 42*p/5 - 18 = 0?
-5, 3
Find o, given that 4*o**4 - 1532*o**3 + 195072*o**2 - 8192000*o - 8388608 = 0.
-1, 128
Solve -3*p**2 + 267*p = 0.
0, 89
Factor -5*f**3 - 8140*f**2 - 3304825*f + 6642250.
-5*(f - 2)*(f + 815)**2
Factor n**2/7 - 39*n/7 - 376/7.
(n - 47)*(n + 8)/7
Find v such that 2*v**4 + 928*v**3 + 926*v**2 = 0.
-463, -1, 0
Factor p**2/4 + 627*p/4 + 625/2.
(p + 2)*(p + 625)/4
Solve 6*o**4 + 258*o**3/7 - 1518*o**2/7 + 1038*o/7 + 180/7 = 0 for o.
-10, -1/7, 1, 3
Factor 2*m**2 + 36*m - 38.
2*(m - 1)*(m + 19)
Factor 2*m**2/9 - 44*m/3 + 242.
2*(m - 33)**2/9
Factor -4*y**4 + 20*y**3 + 56*y**2.
-4*y**2*(y - 7)*(y + 2)
Factor -20*y**3 - 396*y**2 - 640*y + 144.
-4*(y + 2)*(y + 18)*(5*y - 1)
Factor 2*q**5 + 56*q**4 + 248*q**3 + 428*q**2 + 326*q + 92.
2*(q + 1)**3*(q + 2)*(q + 23)
Determine s, given that 2*s**2 - 102*s + 540 = 0.
6, 45
Solve -4*o**4/3 - 62*o**3/9 - 10*o**2/9 = 0.
-5, -1/6, 0
Factor 2*g**2/7 + 10*g + 348/7.
2*(g + 6)*(g + 29)/7
Factor -u**4/9 + 3*u**2 + 50*u/9 + 8/3.
-(u - 6)*(u + 1)**2*(u + 4)/9
Factor h**5/5 + 101*h**4/5 - 414*h**3/5 + 626*h**2/5 - 419*h/5 + 21.
(h - 1)**4*(h + 105)/5
Solve -3*f**3 + 5640*f**2 - 2650800*f = 0.
0, 940
Let -o**3/4 + o**2/2 + 2*o = 0. Calculate o.
-2, 0, 4
Factor x**2/2 + 25*x/2 + 57.
(x + 6)*(x + 19)/2
Factor 3*g**2 + 36*g - 39.
3*(g - 1)*(g + 13)
Factor 2*x**2/3 + 16*x/3 + 14/3.
2*(x + 1)*(x + 7)/3
Factor 2*a**2/3 - 8*a/3.
2*a*(a - 4)/3
Factor 4*r**2/7 + 20*r/7 - 24/7.
4*(r - 1)*(r + 6)/7
Suppose 2*y**3/3 - 4*y**2/3 - 8*y/3 + 16/3 = 0. What is y?
-2, 2
Solve 20*c**4 + 135*c**3 + 90*c**2 = 0 for c.
-6, -3/4, 0
Factor -5*p**4 + 15*p**3 + 45*p**2 - 135*p.
-5*p*(p - 3)**2*(p + 3)
Let -s**5/4 - 3*s**4/4 = 0. Calculate s.
-3, 0
Factor -5*m**4 - 150*m**3 - 415*m**2 - 270*m.
-5*m*(m + 1)*(m + 2)*(m + 27)
Let 14*y**2 + 1828*y - 786 = 0. Calculate y.
-131, 3/7
Factor 2*p**2 - 34660*p + 150164450.
2*(p - 8665)**2
Factor -2*p**2/7 - 118*p/7 + 1380/7.
-2*(p - 10)*(p + 69)/7
Suppose -5*t**4/3 + 5*t**3/3 + 25*t**2/3 + 5*t = 0. What is t?
-1, 0, 3
Let o**4 - 139*o**3/2 + 1318*o**2 - 7359*o/2 - 2178 = 0. Calculate o.
-1/2, 4, 33
What is z in 3*z**2/2 + 3459*z/2 + 3453 = 0?
-1151, -2
Factor s**5/3 - s**4 - 2*s**3 + 8*s**2/3.
s**2*(s - 4)*(s - 1)*(s + 2)/3
Determine a so that -4*a**3 + 183*a**2 + 46*a = 0.
-1/4, 0, 46
Factor 5*c**3 + 45*c**2.
5*c**2*(c + 9)
Factor -i**2/6 - 29*i/6 + 31/3.
-(i - 2)*(i + 31)/6
Find s such that 3*s**2/5 - 2361*s/5 - 2364/5 = 0.
-1, 788
Determine b so that 2*b**5/7 + 2*b**4 + 18*b**3/7 - 2*b**2 - 20*b/7 = 0.
-5, -2, -1, 0, 1
Suppose 4*n**5 - 1924*n**4 + 311004*n**3 - 17292204*n**2 + 64314864*n = 0. Calculate n.
0, 4, 159
What is o in -o**4/3 - 36*o**3 - 107*o**2/3 = 0?
-107, -1, 0
Suppose -64*z**4/3 - 16*z**3/3 + 7*z**2/3 - z/6 = 0. Calculate z.
-1/2, 0, 1/8
Find j, given that 3*j**2 + 21*j - 684 = 0.
-19, 12
Suppose t**2 - 33*t + 162 = 0. Calculate t.
6, 27
Factor -3*a**3/2 - 3*a**2 + 3*a/2 + 3.
-3*(a - 1)*(a + 1)*(a + 2)/2
What is u in -3*u**3/5 + 117*u**2/5 + 12*u/5 - 468/5 = 0?
-2, 2, 39
What is d in -d**5/3 + 38*d**4/3 + 15*d**3 - 230*d**2/3 - 164*d/3 + 104 = 0?
-2, 1, 2, 39
Factor -3*z**2 + 15*z - 12.
-3*(z - 4)*(z - 1)
Solve -n**2/2 + 9*n/2 - 4 = 0 for n.
1, 8
Factor 3*f**4 - 12*f**3 - 33*f**2 - 18*f.
3*f*(f - 6)*(f + 1)**2
Let 296*l**4/7 + 380*l**3 + 7068*l**2/7 + 832*l - 80/7 = 0. What is l?
-5, -2, 1/74
Find t, given that 2*t**4/7 + 68*t**3/7 + 746*t**2/7 + 408*t + 504 = 0.
-14, -3
Let -2*f**3 - 4*f**2 - 2*f = 0. What is f?
-1, 0
Solve 5*z**2 + 190*z + 1805 = 0.
-19
Factor -4*g**3/5 + 52*g**2/5 + 56*g/5.
-4*g*(g - 14)*(g + 1)/5
Factor 2*y**2/9 - 514*y/9 + 512/9.
2*(y - 256)*(y - 1)/9
Suppose -o**3/2 + 8*o**2 - 30*o = 0. What is o?
0, 6, 10
Determine l so that -105*l**5/4 + 513*l**4/4 + 1437*l**3/4 + 831*l**2/4 - 18*l - 21 = 0.
-1, -2/5, 2/7, 7
What is i in -5*i**2 - 420*i + 860 = 0?
-86, 2
Find h, given that -2*h**3 + 186*h**2 - 5766*h + 59582 = 0.
31
What is k in -k**4/6 - 19*k**3/3 + 41*k**2/6 + 13*k = 0?
-39, -1, 0, 2
Solve 3*f**4 + 51*f**3 - 171*f**2 + 177*f - 60 = 0.
-20, 1
Suppose -5*b**4 - 20*b**3 - 25*b**2 - 10*b = 0. Calculate b.
-2, -1, 0
Factor -100*v**3/3 + 3008*v**2/3 - 7580*v + 600.
-4*(v - 15)**2*(25*v - 2)/3
Factor -3607298*y**2/3 + 10744*y/3 - 8/3.
-2*(1343*y - 2)**2/3
Suppose 5*l**3 + 1255*l**2 + 6120*l - 7380 = 0. Calculate l.
-246, -6, 1
Suppose 4*j**3/3 - 14*j**2 + 86*j/3 - 16 = 0. What is j?
1, 3/2, 8
Let 3*d**5 + 159*d**4 - 843*d**3 + 1545*d**2 - 1212*d + 348 = 0. Calculate d.
-58, 1, 2
Find q such that -50*q**5 + 338*q**4 - 666*q**3 + 470*q**2 - 44*q - 48 = 0.
-6/25, 1, 4
Suppose -2*i**5 - 28*i**4/3 - 40*i**3/3 - 16*i**2/3 = 0. What is i?
-2, -2/3, 0
Determine a, given that 4*a**2/9 - 16*a + 1232/9 = 0.
14, 22
Factor n**5/9 + 8*n**4/9 + 20*n**3/9 + 16*n**2/9.
n**2*(n + 2)**2*(n + 4)/9
Let -4*u**5/7 - 232*u**4/7 - 4324*u**3/7 - 22640*u**2/7 + 59200*u/7 - 32000/7 = 0. What is u?
-20, 1
Find j, given that 2*j**2 + 50*j - 232 = 0.
-29, 4
Factor -k**3 - 73*k**2 - 976*k - 3648.
-(k + 8)**2*(k + 57)
Factor -53*p**2 + 157*p + 6.
-(p - 3)*(53*p + 2)
What is k in 3*k**4/5 - 1212*k**3/5 + 32562*k**2 - 1443420*k - 1476225 = 0?
-1, 135
Factor -f**4/3 - 47*f**3/3 - 15*f**2 + 47*f/3 + 46/3.
-(f - 1)*(f + 1)**2*(f + 46)/3
Let -219*y**2/7 - 222*y/7 - 3/7 = 0. Calculate y.
-1, -1/73
Find d such that -2*d**2/3 + 2*d/3 + 4 = 0.
-2, 3
Factor -3*j**2 + 60*j - 108.
-3*(j - 18)*(j - 2)
Factor -u**3 - 15*u**2/2 - 12*u + 8.
-(u + 4)**2*(2*u - 1)/2
Determine o so that 6*o**4 - 3*o**3 - 9*o**2 + 3*o + 3 = 0.
-1, -1/2, 1
Find r such that 76*r**3/5 - 72*r**2/5 - 4*r/5 = 0.
-1/19, 0, 1
Let -22*x**3/9 - 26*x**2/9 + 40*x/9 + 8/9 = 0. Calculate x.
-2, -2/11, 1
Solve -2*r**4/5 - 18*r**3/5 - 10*r**2 - 54*r/5 - 4 = 0.
-5, -2, -1
Let 