 0.
-2/3, 0, 1/2, 2, 91
What is o in -20*o**4 + 32*o**3 + 16*o**2 = 0?
-2/5, 0, 2
Solve 28*g**3 + 99*g**2 + 47*g + 6 = 0.
-3, -2/7, -1/4
Factor r**4/8 - 17*r**3/8 - r**2/8 + 17*r/8.
r*(r - 17)*(r - 1)*(r + 1)/8
Factor 3*v**4 - 12*v**3 - 198*v**2 + 420*v + 3675.
3*(v - 7)**2*(v + 5)**2
Factor -2*j**3 - 118*j**2 - 1540*j - 2624.
-2*(j + 2)*(j + 16)*(j + 41)
Find j such that -j**5/3 + 8*j**4/3 - 22*j**3/3 + 8*j**2 - 3*j = 0.
0, 1, 3
Suppose -3*q**4/8 + 3*q**3/8 + 9*q**2/8 - 15*q/8 + 3/4 = 0. What is q?
-2, 1
Find p such that 2*p**2/5 + 194*p/5 + 192/5 = 0.
-96, -1
Find y such that 4*y**3 - 412*y**2 - 4484*y - 4068 = 0.
-9, -1, 113
Determine m, given that -3*m**4 + 645*m**3 + 2616*m**2 + 2628*m = 0.
-2, 0, 219
Solve -8*o**2 - 132*o + 68 = 0 for o.
-17, 1/2
Factor 4*d**4 + 52*d**3 - 720*d**2 - 3376*d - 3520.
4*(d - 11)*(d + 2)**2*(d + 20)
Factor -5*d**2 - 92000*d - 423200000.
-5*(d + 9200)**2
Factor 4*u**3 + 24*u**2 + 36*u.
4*u*(u + 3)**2
Factor 3*g**3/2 - g**2/4 - 3*g/2 + 1/4.
(g - 1)*(g + 1)*(6*g - 1)/4
Suppose 3*x**2/2 + 681*x + 154587/2 = 0. Calculate x.
-227
Factor 5*z**4 + 35*z**3 + 20*z**2 - 60*z.
5*z*(z - 1)*(z + 2)*(z + 6)
Factor 5*y**2 + 19440*y + 18895680.
5*(y + 1944)**2
Determine n so that -10*n**3 - 352*n**2 - 2952*n + 2592 = 0.
-18, 4/5
What is q in 4*q**5 + 212*q**4 + 3100*q**3 + 7484*q**2 - 800*q - 10000 = 0?
-25, -2, 1
Factor -o**3 - 48*o**2 + 208*o.
-o*(o - 4)*(o + 52)
Determine p so that -30*p**4/19 - 28*p**3/19 + 26*p**2/19 + 16*p/19 - 8/19 = 0.
-1, 2/5, 2/3
Factor 2*c**4 + 4*c**3 - 6*c**2 - 8*c + 8.
2*(c - 1)**2*(c + 2)**2
What is p in -35*p**4 + 100*p**3 + 35*p**2 - 100*p = 0?
-1, 0, 1, 20/7
What is s in 2*s**4/13 - 12*s**3/13 + 108*s/13 - 162/13 = 0?
-3, 3
Suppose 5*a**3 + 8400*a**2 + 3536385*a + 7039210 = 0. What is a?
-839, -2
Factor 18*f**3 + 76*f**2 - 74*f - 20.
2*(f - 1)*(f + 5)*(9*f + 2)
What is v in 2*v**4 - 30*v**3 + 28*v**2 = 0?
0, 1, 14
Factor l**4/4 + 93*l**3/4 + 552*l**2 + 529*l.
l*(l + 1)*(l + 46)**2/4
Factor -3*n**4 + 36*n**2 - 48*n.
-3*n*(n - 2)**2*(n + 4)
Factor -l**4 - 15*l**3 + l**2 + 15*l.
-l*(l - 1)*(l + 1)*(l + 15)
Let -b**4/4 - 55*b**3/4 - 39*b**2 + b + 52 = 0. What is b?
-52, -2, 1
Determine h, given that 5*h**2/4 + 265*h/4 + 255/2 = 0.
-51, -2
Find v, given that -4*v**5/9 - 20*v**4/9 - 4*v**3/3 + 52*v**2/9 + 32*v/9 - 16/3 = 0.
-3, -2, 1
Factor -3*a**2 - 33360*a - 92740800.
-3*(a + 5560)**2
Factor 2*f**3 - 134*f**2 + 388*f - 256.
2*(f - 64)*(f - 2)*(f - 1)
Factor 3*l**4 + 28*l**3 + 85*l**2/3 - 86*l/3 + 16/3.
(l + 2)*(l + 8)*(3*l - 1)**2/3
Determine s so that 28*s**2/5 + 164*s + 232/5 = 0.
-29, -2/7
Factor g**3/6 - g**2/3 - g/2.
g*(g - 3)*(g + 1)/6
Solve 26*r**2/7 - 1044*r/7 + 160/7 = 0.
2/13, 40
Solve n**2 - 552*n - 1665 = 0.
-3, 555
Let -4*d**3/3 + 4*d**2 + 24*d - 160/3 = 0. What is d?
-4, 2, 5
Factor -2*s**4/9 - 20*s**3/9 - 56*s**2/9 - 16*s/3.
-2*s*(s + 2)**2*(s + 6)/9
Find g, given that 21*g**3 - 174*g**2 + 48*g = 0.
0, 2/7, 8
Suppose 3*h**5/5 + 84*h**4/5 - 18*h**3 - 84*h**2/5 + 87*h/5 = 0. Calculate h.
-29, -1, 0, 1
Find i, given that -33*i**3/4 + 333*i**2/2 + 2157*i/4 - 207/2 = 0.
-3, 2/11, 23
Factor 2*u**3/19 - 46*u**2/19 + 286*u/19 - 242/19.
2*(u - 11)**2*(u - 1)/19
Factor -f**5/7 - f**4/7 + 5*f**3/7 - 3*f**2/7.
-f**2*(f - 1)**2*(f + 3)/7
Let -7*v**4/3 - 395*v**3/6 + 317*v**2/6 - 29*v/3 = 0. Calculate v.
-29, 0, 2/7, 1/2
Factor 20*f**4 - 12*f**3 - 32*f**2.
4*f**2*(f + 1)*(5*f - 8)
Solve 3*c**4 + 18*c**3 + 33*c**2 + 18*c = 0 for c.
-3, -2, -1, 0
Factor -7*q**3/2 + 10*q**2 + q/2 - 13.
-(q - 2)*(q + 1)*(7*q - 13)/2
Suppose -63*b**3 + 6*b**2 + 63*b - 6 = 0. Calculate b.
-1, 2/21, 1
Factor 28*g**3 - 104*g**2 + 80*g + 32.
4*(g - 2)**2*(7*g + 2)
Determine f so that f**4/3 - 12*f**3 + 119*f**2 - 1078*f/3 = 0.
0, 7, 22
Factor 39*i**2/4 + 291*i/4 + 63/2.
3*(i + 7)*(13*i + 6)/4
Factor 2*m**2/11 + 240*m + 2638/11.
2*(m + 1)*(m + 1319)/11
Find n, given that 3*n**3 - 1674*n**2 + 233523*n = 0.
0, 279
Determine t so that -54*t**5/7 + 8586*t**4 + 120348*t**3/7 + 80260*t**2/7 + 22298*t/7 + 2230/7 = 0.
-1, -1/3, 1115
What is k in k**2/5 - 17*k/5 + 6 = 0?
2, 15
Suppose 3*k**3 - 1926*k**2 - 3*k + 1926 = 0. Calculate k.
-1, 1, 642
What is d in d**2 - 25*d + 100 = 0?
5, 20
Determine a, given that 4*a**2/5 - 304*a + 28880 = 0.
190
Determine l so that 6*l**5 + 63*l**4 + 195*l**3 + 126*l**2 - 120*l = 0.
-5, -4, -2, 0, 1/2
Find g, given that g**2/8 - 29*g/8 + 7/2 = 0.
1, 28
Factor -3*w**2 - 117*w.
-3*w*(w + 39)
Factor -d**2/3 + 2629*d/6 + 1315/6.
-(d - 1315)*(2*d + 1)/6
Solve -4*d**2/3 - 22*d/3 - 10/3 = 0.
-5, -1/2
Factor 4*t**3/5 - t**2/5 - 4*t/5 + 1/5.
(t - 1)*(t + 1)*(4*t - 1)/5
Find u such that -6*u**4 + 130*u**3/3 + 1844*u**2/3 + 3904*u/3 - 320 = 0.
-4, 2/9, 15
Find p such that -7*p**2/4 - 443*p/4 - 63/2 = 0.
-63, -2/7
Let -2*i**5 - 110*i**4/3 - 206*i**3 - 1058*i**2/3 - 224*i - 128/3 = 0. Calculate i.
-8, -1, -1/3
Factor -r**5/3 + 1888*r**4/3 - 894904*r**3/3 + 1185664*r**2 - 1183152*r.
-r*(r - 942)**2*(r - 2)**2/3
Let -j**3 + 4*j**2 + 5*j = 0. Calculate j.
-1, 0, 5
Factor -o**5/6 - 46*o**4/3 - 30*o**3 + o**2/3 + 181*o/6 + 15.
-(o - 1)*(o + 1)**3*(o + 90)/6
Factor 5*y**2 - 180*y - 185.
5*(y - 37)*(y + 1)
Factor -5*y**3 - 210*y**2 - 1980*y + 4840.
-5*(y - 2)*(y + 22)**2
Factor -2*v**4 + 86*v**3/5 + 36*v**2/5.
-2*v**2*(v - 9)*(5*v + 2)/5
Find w, given that -35*w**3/3 - 185*w**2/3 - 50*w/3 = 0.
-5, -2/7, 0
Solve -20*o**5 + 52*o**4 + 76*o**3 - 180*o**2 + 72*o = 0 for o.
-2, 0, 3/5, 1, 3
Determine j so that -4*j**5 - 27*j**4 + 32*j**3 + 330*j**2 - 100*j - 375 = 0.
-5, -1, 5/4, 3
Factor -5*t**5 - 890*t**4 - 38705*t**3 + 80100*t**2 - 40500*t.
-5*t*(t - 1)**2*(t + 90)**2
Determine h so that 2*h**2/5 + 202*h/5 + 40 = 0.
-100, -1
Find k, given that k**5 + 5*k**4 - 20*k**2 - 16*k = 0.
-4, -2, -1, 0, 2
Solve -t**2 + 5*t - 6 = 0 for t.
2, 3
Find s, given that -s**3 + 51*s**2 - 435*s - 5887 = 0.
-7, 29
Find b, given that 10*b**3 - 24*b**2 + 18*b - 4 = 0.
2/5, 1
Factor -5*u**4 + 300*u**3 + 620*u**2.
-5*u**2*(u - 62)*(u + 2)
Determine d so that 2*d**4/9 + 16*d**3/9 - 38*d**2/9 - 196*d/9 - 16 = 0.
-9, -2, -1, 4
Determine b, given that 3*b**2 + 28596*b + 68144268 = 0.
-4766
Suppose y**2 + 1055*y + 1054 = 0. Calculate y.
-1054, -1
Factor -2*z**3/19 + 12*z**2/19 - 6*z/19 - 20/19.
-2*(z - 5)*(z - 2)*(z + 1)/19
Factor -2*j**3 - 324*j**2 - 642*j - 320.
-2*(j + 1)**2*(j + 160)
Factor -4*w**5 + 40*w**4 - 64*w**3 - 512*w**2 + 2048*w - 2048.
-4*(w - 4)**3*(w - 2)*(w + 4)
Factor 15*j**2 - 17739*j - 7098.
3*(j - 1183)*(5*j + 2)
What is f in -3*f**3/7 - 66*f**2/7 - 171*f/7 = 0?
-19, -3, 0
Factor 2*g**4/5 + 8*g**3/5 - 102*g**2/5 + 36*g.
2*g*(g - 3)**2*(g + 10)/5
Factor -r**4 - 32*r**3 - 352*r**2 - 1536*r - 2304.
-(r + 4)**2*(r + 12)**2
Determine x, given that -4*x**5/7 - 4*x**4 - 40*x**3/7 + 8*x**2/7 + 44*x/7 + 20/7 = 0.
-5, -1, 1
Factor -2*z**2/7 + 10496*z/7 - 13770752/7.
-2*(z - 2624)**2/7
Find k such that -14*k**4/5 - 16*k**3 + 234*k**2/5 - 172*k/5 + 32/5 = 0.
-8, 2/7, 1
Find a, given that -3*a**4 - 258*a**3 - 3099*a**2 + 105264*a - 499392 = 0.
-51, 8
Factor -3*r**3/4 + 189*r**2/4 - 720*r - 768.
-3*(r - 32)**2*(r + 1)/4
Let 4*t**4 + 1192*t**3 - 2412*t**2 - 3600*t = 0. What is t?
-300, -1, 0, 3
Determine w so that -w**2 + 65*w - 636 = 0.
12, 53
Factor 3249*f**3 - 17005*f**2 - 3688*f - 196.
(9*f - 49)*(19*f + 2)**2
Suppose q**5/6 + q**4/3 + q**3/6 = 0. What is q?
-1, 0
Determine h so that -2*h**3 + 2642*h**2 = 0.
0, 1321
Solve -2*x**4/3 - 4*x**3/3 + 14*x**2/3 - 8*x/3 = 0 for x.
-4, 0, 1
Factor -3*j**2/5 - 18*j/5 + 21/5.
-3*(j - 1)*(j + 7)/5
Solve n**2/3 + 4*n + 32/3 = 0.
-8, -4
Factor 4*g**2/5 + 56*g/5 + 52/5.
4*(g + 1)*(g + 13)/5
Factor -3*i**2/7 + 153*i/7.
-3*i*(i - 51)/7
Factor -5*k**4 - 515*k**3 - 13000*k**2 + 13520*k.
-5*k*(k - 1)*(k + 52)**2
Determine m so that 2*m**4/3 + 32*m**3 + 238*m**2 - 1724*m/3 + 304 = 0.
-38, -12, 1
Factor g**5/2 + 5*g**4/2 + 2*g**3.
g**3*(g + 1)*(g + 4)/2
Factor -2*o**2/9 - 7948*o/9 - 7896338/9.
-2*(o + 1987)**2/9
Suppose d**2/4 + 831*d/2 + 690561/4 = 0. Calculate d.
-831
Factor -3*w**3 - 1413*w**2/8 + 177*w/8.
-3*w*(w + 59)*(8*w - 1)/8
Factor b**4/5 + 19*b**3/5 + 71*b**2/5 - 91*b/5.
b*(b - 1)*(b + 7)*(b + 13)/5
Factor -2*m**2/3 - 53*m/6 + 7.
-(m + 14)*(4*m - 3)/6
Factor -5*j**4 + 65*j**3 + 315*j**2 + 415*j + 1