4*z**3/11 + 80042*z**2/11 + 85344*z/11 = 0?
-2667, -1, 0, 16
Factor 4*c**2 + 2940*c - 2944.
4*(c - 1)*(c + 736)
Factor 2*h**5 + 110*h**4 + 108*h**3.
2*h**3*(h + 1)*(h + 54)
Find g, given that -5*g**4/2 - 33255*g**3/4 - 49865*g**2/4 - 4155*g = 0.
-3324, -1, -1/2, 0
Factor 2*i**2 + 1560*i - 1562.
2*(i - 1)*(i + 781)
Determine b so that 3*b**4 + 2475*b**3 + 12324*b**2 + 19692*b + 9840 = 0.
-820, -2, -1
Factor 12*c**3 + 77720*c**2 + 284796*c - 103568.
4*(c + 4)*(c + 6473)*(3*c - 1)
Solve o**3/3 + 968*o**2/3 - 15716*o/3 + 9184 = 0 for o.
-984, 2, 14
Factor o**4/3 - 112*o**3 - 339*o**2 - 4*o/3 + 452.
(o - 339)*(o - 1)*(o + 2)**2/3
Factor -b**3/7 + 61*b**2/7 - 1144*b/7 + 6084/7.
-(b - 26)**2*(b - 9)/7
Factor x**3/5 - 13*x**2 + 471*x/5 - 171.
(x - 57)*(x - 5)*(x - 3)/5
Find n, given that -n**3 + 409506*n**2 - 41923791009*n = 0.
0, 204753
Factor -2*d**4 + 1432*d**3 - 243116*d**2 - 4729896*d - 21819618.
-2*(d - 367)**2*(d + 9)**2
Find c such that c**3/3 + 208*c**2/3 + 4352*c + 86016 = 0.
-112, -48
Determine o, given that o**5 + 1560*o**4 + 33812*o**3 - 36934*o**2 - 33813*o + 35374 = 0.
-1538, -23, -1, 1
Determine d so that d**4/11 - 309*d**3/11 + 2113*d**2/11 + 309*d/11 - 2114/11 = 0.
-1, 1, 7, 302
Factor 4*h**2 + 36640*h + 36636.
4*(h + 1)*(h + 9159)
Determine m so that m**4/8 + 13*m**3/8 - 1149*m**2/8 - 13*m/8 + 287/2 = 0.
-41, -1, 1, 28
Suppose -32*f**5/19 - 5840*f**4/19 + 20782*f**3/19 - 9294*f**2/19 + 1116*f/19 = 0. Calculate f.
-186, 0, 1/4, 3
Find h, given that -h**5/4 + 3*h**4/2 + 114*h**3 - 617*h**2/2 - 53703*h/4 - 13005 = 0.
-15, -12, -1, 17
Determine v, given that 2*v**4/5 - 42*v**3/5 + 138*v**2/5 + 1562*v/5 - 1452 = 0.
-6, 5, 11
What is w in -w**5/4 + 455*w**4/4 - 51527*w**3/4 - 52439*w**2/4 + 12882*w + 12996 = 0?
-1, 1, 228
Factor -a**5/3 + 160*a**4/3 - 7678*a**3/3 + 34080*a**2 - 136107*a.
-a*(a - 71)**2*(a - 9)**2/3
Find j such that -4*j**5 + 24088*j**4 + 241180*j**3 + 603200*j**2 = 0.
-5, 0, 6032
Determine k so that 2*k**3 + 72*k**2 - 10752*k - 476672 = 0.
-56, 76
Determine i, given that -i**4/3 - 138*i**3 + 12805*i**2 - 830000*i/3 + 264000 = 0.
-495, 1, 40
Let d**4/5 + 4058*d**3/5 + 18585*d**2 + 484056*d/5 - 116208 = 0. What is d?
-4035, -12, 1
Factor d**4 + 48*d**3 + 351*d**2.
d**2*(d + 9)*(d + 39)
Factor -n**2/2 + 10763*n/6 + 598.
-(n - 3588)*(3*n + 1)/6
Determine i, given that -2*i**5/11 + 318*i**4/11 - 364*i**3/11 - 40440*i**2/11 - 158256*i/11 = 0.
-6, 0, 14, 157
Determine l so that -3*l**2 - 4140*l + 122583 = 0.
-1409, 29
Factor -c**2/6 - 97*c/3 + 200.
-(c - 6)*(c + 200)/6
Solve 4*y**5/5 + 4*y**4/5 - 2244*y**3/5 - 21172*y**2/5 + 448*y + 21168/5 = 0.
-14, -1, 1, 27
Factor v**2/2 - 18028*v + 180255/2.
(v - 36051)*(v - 5)/2
Let -4*w**3 + 244*w**2 + 516*w - 756 = 0. What is w?
-3, 1, 63
Factor 57*p**2/7 + 873*p/7 - 624/7.
3*(p + 16)*(19*p - 13)/7
Find g, given that -5*g**5/3 + 580*g**4/3 - 13705*g**3/3 - 178450*g**2/3 - 204960*g - 211680 = 0.
-4, -2, 63
Determine g so that -g**5/6 + 25*g**4/6 - 139*g**3/6 + 77*g**2/2 + 12*g - 54 = 0.
-1, 2, 3, 18
Factor 5*b**4 + 385*b**3 + 7420*b**2 + 7040*b.
5*b*(b + 1)*(b + 32)*(b + 44)
Determine o, given that 2*o**5 + 58*o**4 + 580*o**3 + 2372*o**2 + 4026*o + 2178 = 0.
-11, -3, -1
Determine a so that 5*a**5 + 136*a**4 - 738*a**3 + 952*a**2 - 259*a - 96 = 0.
-32, -1/5, 1, 3
Factor b**3/5 + 1066*b**2/5 + 4251*b/5 + 3186/5.
(b + 1)*(b + 3)*(b + 1062)/5
Suppose 3*x**2/2 - 93*x/2 - 333 = 0. Calculate x.
-6, 37
Factor -460800*a**2/11 + 55680*a/11 - 1682/11.
-2*(480*a - 29)**2/11
Let f**3 + 463*f**2 + 59675*f + 1365581 = 0. What is f?
-217, -29
Solve 2*s**2/3 + 98536*s/15 - 39416/15 = 0 for s.
-9854, 2/5
Solve 62795348100*w**2 - 1002360*w + 4 = 0 for w.
1/125295
Suppose -u**2/2 + 46*u - 2115/2 = 0. What is u?
45, 47
Let 3*h**4 + 47490*h**3 + 187894179*h**2 - 375930840*h + 187989168 = 0. What is h?
-7916, 1
Suppose 2*v**4 + 866*v**3 + 18860*v**2 = 0. Calculate v.
-410, -23, 0
Find r such that 5*r**5 - 80*r**4 - 195*r**3 + 230*r**2 + 700*r + 360 = 0.
-2, -1, 2, 18
Factor -3*n**3/8 + 484641*n**2/8 - 969273*n/8 + 484635/8.
-3*(n - 161545)*(n - 1)**2/8
Determine r so that -5*r**3 - 1114555*r**2 = 0.
-222911, 0
Solve 3*n**5/5 + 9093*n**4/5 - 72903*n**3/5 + 100311*n**2/5 + 14580*n - 109404/5 = 0 for n.
-3039, -1, 1, 2, 6
Let -6*f**3 + 43*f**2 - 37*f - 30 = 0. Calculate f.
-1/2, 5/3, 6
Factor z**5/6 + 7*z**4/3 + 8*z**3 - 7*z**2/3 - 49*z/6.
z*(z - 1)*(z + 1)*(z + 7)**2/6
Find q, given that 4*q**2 - 1444*q - 344400 = 0.
-164, 525
Suppose -35*s**2 + 121565*s - 520350 = 0. What is s?
30/7, 3469
Factor 20*b**3 + 165*b**2 - 620*b - 165.
5*(b - 3)*(b + 11)*(4*b + 1)
Suppose -x**5/4 - 119*x**4/2 + 3531*x**3/4 + 178*x**2 - 2765*x + 1764 = 0. What is x?
-252, -2, 1, 14
Suppose 4*y**3/5 + 1956*y**2/5 + 63648*y + 17229888/5 = 0. What is y?
-177, -156
Solve -u**2/2 - 2469*u/2 + 3708 = 0.
-2472, 3
Factor -5*w**2 + 1760*w - 1755.
-5*(w - 351)*(w - 1)
Factor -45*u**2 + 49480*u - 76860.
-5*(u - 1098)*(9*u - 14)
Let 2*o**3 + 1104*o**2 + 79558*o + 78456 = 0. What is o?
-467, -84, -1
What is q in 2*q**2 + 178620*q + 3988138050 = 0?
-44655
Factor -l**2/3 - 145729*l - 437186/3.
-(l + 1)*(l + 437186)/3
Suppose 2948*u**2 + 1476*u - 72 = 0. Calculate u.
-6/11, 3/67
Factor 5*w**4 + 1025*w**3 - 6285*w**2 + 9495*w.
5*w*(w - 3)**2*(w + 211)
Factor -2*d**2 - 1568*d - 26078.
-2*(d + 17)*(d + 767)
Solve -4*d**3/9 - 9196*d**2/9 - 18356*d/3 - 9172 = 0.
-2293, -3
Factor -4*k**3/3 + 352*k**2/3 - 3068*k/3 - 24640/3.
-4*(k - 77)*(k - 16)*(k + 5)/3
Factor -3*x**3 + 310686*x**2 + 1242780*x + 1242792.
-3*(x - 103566)*(x + 2)**2
Factor 2*x**3 - 1093*x**2/2 - 1927*x/2 + 275.
(x - 275)*(x + 2)*(4*x - 1)/2
Factor -p**3/4 - 12*p**2 + 891*p - 11132.
-(p - 22)**2*(p + 92)/4
Factor 5*d**3 + 1145*d**2 - 8350*d - 21240.
5*(d - 9)*(d + 2)*(d + 236)
Solve 2*y**3/15 - 50*y**2/3 - 764*y/15 - 512/15 = 0 for y.
-2, -1, 128
Factor -2*t**2/3 - 286*t/3 + 144172.
-2*(t - 399)*(t + 542)/3
Factor -2*t**3 + 169194*t**2 - 676752*t + 676744.
-2*(t - 84593)*(t - 2)**2
Factor 5*k**2 - 146005*k - 730150.
5*(k - 29206)*(k + 5)
Determine q so that 2*q**5/5 - 190*q**4/3 + 39604*q**3/15 - 158164*q**2/15 + 155078*q/15 - 11858/5 = 0.
1/3, 1, 3, 77
Factor 2*y**2 - 5705720*y + 4069405089800.
2*(y - 1426430)**2
Factor -2*w**2 + 4134*w - 28840.
-2*(w - 2060)*(w - 7)
Factor 5*q**2/3 + 8690*q/3 - 8695/3.
5*(q - 1)*(q + 1739)/3
Let -5*f**3 - 385*f**2 + 42400*f + 42780 = 0. Calculate f.
-138, -1, 62
Suppose -4*f**5 - 2104*f**4 + 185108*f**3 - 3680600*f**2 - 4246400*f + 7744000 = 0. What is f?
-605, -2, 1, 40
Factor -2*r**2 + 106754*r + 213516.
-2*(r - 53379)*(r + 2)
Suppose -3*l**5 + 492*l**4 + 507*l**3 - 1968*l**2 - 1980*l = 0. Calculate l.
-2, -1, 0, 2, 165
Factor -2*o**4/5 + 1394*o**3 - 6968*o**2/5.
-2*o**2*(o - 3484)*(o - 1)/5
Factor -p**4/11 + 685*p**3/11 - 186*p**2.
-p**2*(p - 682)*(p - 3)/11
Factor 2*k**2 - 62204*k + 483667202.
2*(k - 15551)**2
Factor 5*x**2/6 - 1236010*x + 458316216030.
5*(x - 741606)**2/6
Factor -140*z**3 - 37388*z**2 - 2136*z.
-4*z*(z + 267)*(35*z + 2)
Factor 5*c**2 - 152540*c - 152545.
5*(c - 30509)*(c + 1)
Suppose 8*c**2 + 964*c - 71760 = 0. What is c?
-345/2, 52
Factor -i**3/4 + 171*i**2/2 + 4237*i/4 + 1947/2.
-(i - 354)*(i + 1)*(i + 11)/4
Solve -z**4/2 - 3*z**3 + 721*z**2/2 + 3*z - 360 = 0 for z.
-30, -1, 1, 24
Factor -y**2/3 - 135*y - 1188.
-(y + 9)*(y + 396)/3
Suppose 3*u**2 + 91875*u + 275598 = 0. Calculate u.
-30622, -3
Factor -v**3/6 - 106*v**2/3 - 2009*v/6 + 1111/3.
-(v - 1)*(v + 11)*(v + 202)/6
Factor n**4/2 + 64849*n**3 + 4205522497*n**2/2 + 4205327952*n + 2102631552.
(n + 1)**2*(n + 64848)**2/2
Factor -898880*j**2 - 106000*j - 3125.
-5*(424*j + 25)**2
Solve -2*t**4 + 364*t**3 + 801438*t**2 - 74438000*t - 83640500000 = 0.
-409, 500
Find m, given that 1587762*m**2/23 + 71280*m/23 + 800/23 = 0.
-20/891
Suppose -2*i**5/3 - 30*i**4 - 430*i**3 - 4990*i**2/3 + 5100*i + 13872 = 0. What is i?
-17, -12, -2, 3
Find y such that y**3 - 409*y**2 + 1218*y = 0.
0, 3, 406
Find b such that -5*b**4/4 - 65*b**3/4 + 115*b**2 + 15*b - 540 = 0.
-18, -2, 3, 4
Let 3*c**4/5 + 396*c**3/5 + 2301*c**2/5 + 4176*c/5 + 2268/5 = 0. Calculate c.
-126, -3, -2, -1
Solve -5*o**3 - 80*o**2 + 925*o - 840 = 0 for o.
-24, 1, 7
Determine d so that -5*d**2 + 2205*d + 117360 = 0.
-48, 489
Factor