, 0, 1, 2, 32
Find y, given that -3*y**2/4 - 105*y/4 - 51/2 = 0.
-34, -1
Determine s, given that 2*s**2 - 330*s - 668 = 0.
-2, 167
Determine f so that -3*f**4 - 3*f**3 + 6*f**2 = 0.
-2, 0, 1
Suppose 8*w**4 - 26*w**3 - 2*w**2 + 26*w - 6 = 0. What is w?
-1, 1/4, 1, 3
Suppose 21*h**4/2 + 57*h**3/2 - 9*h**2 = 0. Calculate h.
-3, 0, 2/7
What is u in -3*u**4/2 + 69*u**3/2 - 429*u**2/2 + 363*u/2 = 0?
0, 1, 11
Factor 21*u**2/2 - 60*u + 99/2.
3*(u - 1)*(7*u - 33)/2
Factor 2*s**5 - 2*s**4 - 6*s**3 + 2*s**2 + 4*s.
2*s*(s - 2)*(s - 1)*(s + 1)**2
Suppose -o**4/7 + 206*o**3/7 - 612*o**2/7 + 610*o/7 - 29 = 0. What is o?
1, 203
Find y, given that 6*y**4 + 57*y**3 + 162*y**2 + 96*y - 96 = 0.
-4, -2, 1/2
Factor f**2/2 + 175*f/4 - 177/4.
(f - 1)*(2*f + 177)/4
What is o in o**2/9 - 66*o + 9801 = 0?
297
Let 2*l**3 + 16*l**2 - 22*l - 36 = 0. Calculate l.
-9, -1, 2
Suppose 5*w**2 + 3195*w - 16100 = 0. What is w?
-644, 5
Suppose -2*j**2/5 + 24*j/5 + 216/5 = 0. What is j?
-6, 18
Factor 2*x**2 + 72*x + 70.
2*(x + 1)*(x + 35)
Factor 2*a**4 + 10*a**3 - 16*a**2 - 24*a.
2*a*(a - 2)*(a + 1)*(a + 6)
Factor -5*z**4 - 580*z**3 - 1140*z**2.
-5*z**2*(z + 2)*(z + 114)
Suppose -2*l**3 - 2322*l**2 - 898614*l - 115921206 = 0. Calculate l.
-387
Factor -3*z**4 + 75*z**3 + 246*z**2 + 168*z.
-3*z*(z - 28)*(z + 1)*(z + 2)
What is u in u**3/2 + 342*u**2 + 1362*u + 1360 = 0?
-680, -2
Factor -4*t**2 + 24*t + 108.
-4*(t - 9)*(t + 3)
Let 2*r**4 + 202*r**3 - 6*r**2 - 602*r + 404 = 0. What is r?
-101, -2, 1
Factor 2*f**2/5 - 6*f + 28/5.
2*(f - 14)*(f - 1)/5
Determine t, given that -10*t**5 - 54*t**4 + 110*t**3 + 582*t**2 - 388*t - 240 = 0.
-5, -4, -2/5, 1, 3
Factor 4*h**2 - 232*h + 3364.
4*(h - 29)**2
Determine j, given that 3*j**4 - 264*j**3 - 267*j**2 = 0.
-1, 0, 89
Factor 3*s**2 + 42*s - 153.
3*(s - 3)*(s + 17)
What is r in 315*r**3 + 104*r**2 + 4*r = 0?
-2/7, -2/45, 0
Let 2*o**2/7 + 12064*o/7 + 18192512/7 = 0. What is o?
-3016
Factor -2*p**2/15 - 3112*p/15 - 1210568/15.
-2*(p + 778)**2/15
Let 5*s**5 + 3*s**4 - 12*s**3 + 4*s**2 = 0. What is s?
-2, 0, 2/5, 1
Factor 5*o**4 + 65*o**3 - 1395*o**2 + 2575*o - 1250.
5*(o - 10)*(o - 1)**2*(o + 25)
Let -2*j**3 - 804*j**2 - 81600*j - 160000 = 0. Calculate j.
-200, -2
Factor -5*f**2 + 1775*f - 1770.
-5*(f - 354)*(f - 1)
Factor z**3 + 17*z**2 + 16*z.
z*(z + 1)*(z + 16)
Let -a**3/4 + 24*a**2 - 1539*a/4 + 361 = 0. Calculate a.
1, 19, 76
Factor -5139*r**2 + 6*r.
-3*r*(1713*r - 2)
Solve 9*b**5 - 51*b**4 - 96*b**3 + 84*b**2 = 0 for b.
-2, 0, 2/3, 7
Factor 4*h**3 + 1196*h**2 + 88800*h - 90000.
4*(h - 1)*(h + 150)**2
Suppose 32*z**3/9 - 1136*z**2/9 - 574*z/9 - 8 = 0. Calculate z.
-1/4, 36
Determine y so that y**4 - 18*y**3 + 9*y**2 + 648*y + 1296 = 0.
-3, 12
Let q**4/4 + 27*q**3/2 + 299*q**2/4 + 267*q/2 + 72 = 0. Calculate q.
-48, -3, -2, -1
Factor 4*l**2/7 - 4*l/7 - 120/7.
4*(l - 6)*(l + 5)/7
Factor x**3/4 + 35*x**2/2.
x**2*(x + 70)/4
Solve -3*y**4/7 + 69*y**3/7 - 474*y**2/7 + 480*y/7 + 3456/7 = 0.
-2, 8, 9
Suppose 3*o**2 - 9*o - 54 = 0. Calculate o.
-3, 6
Let 3*k**4/7 - 246*k**3/7 - 3321*k**2/7 - 5892*k/7 - 2820/7 = 0. What is k?
-10, -1, 94
Factor -2*d**2 - 58*d + 1824.
-2*(d - 19)*(d + 48)
Factor 21*x**4/4 - 15*x**3/4 - 3*x**2/2.
3*x**2*(x - 1)*(7*x + 2)/4
Let i**2/3 + 22*i/3 - 16 = 0. What is i?
-24, 2
Let -3*f**3/4 - 9*f**2/4 - 9*f/4 - 3/4 = 0. Calculate f.
-1
Find o such that -o**3 - 530*o**2 - 1057*o - 528 = 0.
-528, -1
Find w, given that -4*w**2/3 + 20*w/3 + 88 = 0.
-6, 11
Find i such that -i**4/5 - 2*i**3 + 8*i**2 + 98*i + 441/5 = 0.
-9, -7, -1, 7
Factor d**5/3 - 7*d**4/3 + 14*d**3/3 - 8*d**2/3.
d**2*(d - 4)*(d - 2)*(d - 1)/3
Factor 4*t**4 - 48*t**3 + 108*t**2.
4*t**2*(t - 9)*(t - 3)
Factor 7*o**5/2 + 9*o**4/2 + o**3.
o**3*(o + 1)*(7*o + 2)/2
Factor 4*v**4 - 48*v**3 - 4*v**2 + 48*v.
4*v*(v - 12)*(v - 1)*(v + 1)
Determine d so that -25*d**4 - 18585*d**3 + 67170*d**2 - 44860*d - 29880 = 0.
-747, -2/5, 2
Determine w, given that w**3 - 1057*w**2 - 1058*w = 0.
-1, 0, 1058
Factor -a**3/7 - 9*a**2 - 1023*a/7 - 961/7.
-(a + 1)*(a + 31)**2/7
Let -6*k**3 - 4*k**2 + 10*k + 8 = 0. Calculate k.
-1, 4/3
Solve 3*d**4 - 2580*d**3 + 559836*d**2 - 2208480*d + 2198208 = 0.
2, 428
Solve 4*d**2 - 328*d + 2628 = 0.
9, 73
Solve -27*u**5 - 27*u**4 + 72*u**3 + 8*u**2 - 48*u + 16 = 0 for u.
-2, -1, 2/3
Factor -4*v**3/5 - 3988*v**2/5 + 3992*v/5.
-4*v*(v - 1)*(v + 998)/5
Determine t so that 52*t**2/7 - 8416*t/7 - 1296/7 = 0.
-2/13, 162
Factor -4*w**4 - 80*w**3 - 396*w**2 + 80*w + 400.
-4*(w - 1)*(w + 1)*(w + 10)**2
What is b in 3*b**3/2 - 15*b**2 - 48*b + 576 = 0?
-6, 8
Find z, given that -5*z**4 + 35*z**3 - 5*z**2 - 135*z - 90 = 0.
-1, 3, 6
Factor -2*s**4 - 42*s**3 - 216*s**2.
-2*s**2*(s + 9)*(s + 12)
Let j**2/4 - 29*j/4 + 95/2 = 0. What is j?
10, 19
Solve 3*d**4 + 12*d**3 - 60*d**2 - 144*d = 0.
-6, -2, 0, 4
Factor j**4/7 + 3*j**3/7 + 2*j**2/7.
j**2*(j + 1)*(j + 2)/7
Factor -2*c**3/3 - 38*c**2/3 + 80*c/3 + 800/3.
-2*(c - 5)*(c + 4)*(c + 20)/3
Determine f so that -5*f**5 + 145*f**4 - 125*f**3 - 445*f**2 + 710*f - 280 = 0.
-2, 1, 28
Solve d**3/3 + 7*d**2/3 - 85*d/3 - 91/3 = 0.
-13, -1, 7
Solve -2*z**4/21 + 4*z**3/7 + 24*z**2/7 - 368*z/21 + 128/7 = 0 for z.
-6, 2, 8
Factor 2*w**3/9 - 134*w**2/9 - 80*w.
2*w*(w - 72)*(w + 5)/9
Factor 6*i**3/7 + 426*i**2 + 374946*i/7 + 1098162/7.
6*(i + 3)*(i + 247)**2/7
Factor -b**5/5 - 12*b**4 + 50*b**3 - 76*b**2 + 51*b - 64/5.
-(b - 1)**4*(b + 64)/5
Suppose -2*v**3/3 + 16*v**2/3 - 10*v/3 - 28/3 = 0. What is v?
-1, 2, 7
Find g such that 2*g**2/9 - 4*g/3 + 16/9 = 0.
2, 4
Factor 5*u**4 - 40*u**3 - 95*u**2 - 50*u.
5*u*(u - 10)*(u + 1)**2
Solve -3*i**5/7 + 39*i**4/7 - 96*i**3/7 - 228*i**2/7 + 288*i/7 = 0.
-2, 0, 1, 6, 8
Let y**5 - 59*y**4 + 839*y**3 + 959*y**2 - 840*y - 900 = 0. Calculate y.
-1, 1, 30
Factor -2*r**2/7 + 32*r/7 - 8.
-2*(r - 14)*(r - 2)/7
Factor 2*k**2/9 - 26*k/9 - 20/3.
2*(k - 15)*(k + 2)/9
Factor -s**2/3 + 2*s/3 + 1.
-(s - 3)*(s + 1)/3
Let -2*u**2 + 854*u + 856 = 0. What is u?
-1, 428
Factor -j**5/4 + 11*j**4/4 - 19*j**3/4 + 9*j**2/4.
-j**2*(j - 9)*(j - 1)**2/4
Factor h**4/2 + 18*h**3 - 40*h**2 - 72*h + 152.
(h - 2)**2*(h + 2)*(h + 38)/2
Factor -3*j**4/8 - 15*j**3/4 - 99*j**2/8 - 15*j - 6.
-3*(j + 1)**2*(j + 4)**2/8
Suppose 3*m**2 - 117*m/7 + 60/7 = 0. Calculate m.
4/7, 5
Factor 3*t**2 + 163*t - 110.
(t + 55)*(3*t - 2)
Suppose 4*x**2/3 - 52*x/3 + 88/3 = 0. Calculate x.
2, 11
Let -3*v**2 + 30*v - 72 = 0. What is v?
4, 6
Find l such that 26*l**2/3 - 22*l - 12 = 0.
-6/13, 3
Suppose b**4 + 172*b**3 + 7044*b**2 - 30272*b + 30976 = 0. Calculate b.
-88, 2
Factor m**5 + 5*m**4 + 4*m**3.
m**3*(m + 1)*(m + 4)
Find o such that 8*o**5 - 2*o**4 - 72*o**3 + 50*o**2 + 88*o - 24 = 0.
-3, -1, 1/4, 2
Find c such that -2*c**5/9 - 4*c**4 - 116*c**3/9 - 16*c**2/3 + 118*c/9 + 28/3 = 0.
-14, -3, -1, 1
Solve -k**5/3 + 26*k**4/3 - 193*k**3/3 + 104*k**2 - 48*k = 0.
0, 1, 12
Find p such that 5*p**2 - 70*p - 475 = 0.
-5, 19
Factor u**2 - 613*u.
u*(u - 613)
Factor -w**3 - 8*w**2 - 21*w - 18.
-(w + 2)*(w + 3)**2
Factor 2*s**3 - 296*s**2 - 302*s + 596.
2*(s - 149)*(s - 1)*(s + 2)
Factor 2*s**4/7 + 6*s**3/7 + 4*s**2/7.
2*s**2*(s + 1)*(s + 2)/7
Determine x so that x**3 + 263*x**2 - 529*x + 265 = 0.
-265, 1
Solve -2*w**5 + 14*w**4 - 14*w**3 - 46*w**2 + 88*w - 40 = 0.
-2, 1, 2, 5
Factor -3*k**2/8 - 5415*k/4 - 9774075/8.
-3*(k + 1805)**2/8
Let 4*q**3/3 + 4*q**2 - 64*q/3 + 16 = 0. What is q?
-6, 1, 2
Suppose -3*u**5/5 + 207*u**4/5 - 3849*u**3/5 + 9009*u**2/5 + 13068*u/5 = 0. Calculate u.
-1, 0, 4, 33
Factor v**4 + 44*v**3 + 189*v**2 - 7290*v.
v*(v - 10)*(v + 27)**2
Suppose -2*v**5/9 + 28*v**4/9 - 16*v**3/3 - 548*v**2/9 + 1330*v/9 + 200 = 0. Calculate v.
-4, -1, 5, 9
Solve 3*q**3/4 - 135*q**2 - 549*q - 552 = 0 for q.
-2, 184
Determine i so that i**3/11 - 2*i**2 - 101*i/11 - 78/11 = 0.
-3, -1, 26
Factor 2*r**4/11 + 1548*r**3/11 + 296426*r**2/11 - 1204344*r/11 + 1210568/11.
2*(r - 2)**2*(r + 389)**2/11
Find p, given that -2*p**4/9 + 22*p**3/3 + 388*p**2/9 - 88*p/3 - 1520/9 = 0.
-5, -2, 2, 38
Factor -3*r**2 - 102*r - 567.
-3*(r + 7)*(r + 27)
Let 321*t**4/7 + 320*t**3/7 - 46*t**2 - 320*t/7 + 1/7 = 0. What is t?
-1, 1/321, 1
Determine n, given that -6*n**5 - 568*n**4/5 + 1392*n**3/5 + 1876*n**2/5 - 306*n/5 - 252/5 = 0.
-21, -1, -1/3, 2/5, 3
Suppose -3*v**2 - 16719*v = 0. 