**2/5
Let 2*p**5/9 + 172*p**4/9 + 5318*p**3/9 + 68692*p**2/9 + 309608*p/9 + 246064/9 = 0. What is p?
-26, -7, -1
Factor 5*c**3 - 8315*c**2 + 8310*c.
5*c*(c - 1662)*(c - 1)
Factor -2*l**2/3 + 543504*l - 110773724256.
-2*(l - 407628)**2/3
Factor -5*i**3 + 150*i**2 - 1125*i + 2500.
-5*(i - 20)*(i - 5)**2
Factor -4*b**2/5 + 278472*b - 24233329620.
-4*(b - 174045)**2/5
Let 123*o**5/4 - 53015*o**4/4 - 212543*o**3/4 - 263809*o**2/4 - 25666*o + 435 = 0. Calculate o.
-2, -1, 2/123, 435
Factor -2*i**2/3 - 1442*i/3 - 11408/3.
-2*(i + 8)*(i + 713)/3
Factor -2*y**4/17 + 34608*y**3/17 - 149817996*y**2/17 + 897973776*y/17 - 1346493618/17.
-2*(y - 8649)**2*(y - 3)**2/17
Factor -u**2/2 - 1721646*u - 1482032474658.
-(u + 1721646)**2/2
Let 5*x**2 + 1820*x + 3620 = 0. What is x?
-362, -2
Solve 5*q**5 - 745*q**4 + 4215*q**3 + 10685*q**2 + 5720*q = 0.
-1, 0, 8, 143
Factor 5*z**2 + 2845*z + 376950.
5*(z + 210)*(z + 359)
Determine k, given that -5*k**2 + 17590*k + 70440 = 0.
-4, 3522
What is i in 2*i**2/7 - 52*i/7 - 27984/7 = 0?
-106, 132
Determine x, given that -2*x**4 + 625*x**3 - 11069*x**2 - 24654*x = 0.
-2, 0, 21, 587/2
Factor -3*a**3 - 19218*a**2 + 346653*a - 1561032.
-3*(a - 9)**2*(a + 6424)
Factor -d**3/12 + 2231*d**2/12 - 2227*d/3.
-d*(d - 2227)*(d - 4)/12
Let -5*y**4/4 + 17993*y**3 - 259012833*y**2/4 + 51796809*y/2 = 0. What is y?
0, 2/5, 7197
Let -k**3 - 549*k**2 - 18792*k - 166212 = 0. Calculate k.
-513, -18
Factor 8*g**3 + 35444*g**2 + 17720*g.
4*g*(g + 4430)*(2*g + 1)
Solve -3*h**2 + 3318*h + 109248 = 0.
-32, 1138
Find w such that w**4/7 - 2430*w**3/7 - 12168*w**2/7 - 17042*w/7 - 7305/7 = 0.
-3, -1, 2435
Solve 5*h**3 + 22695*h**2 + 22680*h - 45380 = 0.
-4538, -2, 1
Factor 2*a**4 - 448*a**3 + 5110*a**2 - 4664*a.
2*a*(a - 212)*(a - 11)*(a - 1)
Solve -6*s**3 + 274412*s**2 - 914624*s - 731712 = 0.
-2/3, 4, 45732
Factor l**2/8 - 3035*l/2 - 12141/8.
(l - 12141)*(l + 1)/8
Find l such that 2*l**3/7 - 180*l**2/7 + 858*l/7 - 680/7 = 0.
1, 4, 85
Factor -t**3/4 + 2499*t**2 - 19989*t/4 + 4997/2.
-(t - 9994)*(t - 1)**2/4
Solve 13*j**3 - 62*j**2 - 327*j - 72 = 0 for j.
-3, -3/13, 8
Let 8*s**4 - 4132*s**3 + 546744*s**2 - 3393540*s + 1560600 = 0. What is s?
1/2, 6, 255
Let m**2 - 2545416*m + 1619785653264 = 0. What is m?
1272708
Factor -x**4 - 1628*x**3 - 667462*x**2 - 3960924*x - 5919489.
-(x + 3)**2*(x + 811)**2
Factor 3*h**5 + 126*h**4 - 4296*h**3 + 12102*h**2 - 11835*h + 3900.
3*(h - 20)*(h - 1)**3*(h + 65)
Solve -4*i**5 + 19300*i**4 - 77160*i**3 + 115720*i**2 - 77140*i + 19284 = 0 for i.
1, 4821
Determine q, given that -5*q**3 - 5675*q**2 - 5660*q + 11340 = 0.
-1134, -2, 1
Solve 3*a**4 - 99*a**2 + 84*a + 180 = 0.
-6, -1, 2, 5
Factor -2*w**2 + 149546*w + 149548.
-2*(w - 74774)*(w + 1)
Factor -m**2/2 + 57913*m/2 + 173757.
-(m - 57919)*(m + 6)/2
Determine y so that y**3 - 441*y**2 - 3592*y = 0.
-8, 0, 449
Find v such that -4*v**3 - 520244*v**2 - 16915603596*v + 16916123844 = 0.
-65031, 1
Let 12456*u**2/13 - 12446*u/13 - 10/13 = 0. Calculate u.
-5/6228, 1
Determine q so that -2*q**5 - 32*q**4 + 268*q**3 + 2808*q**2 - 22410*q + 37800 = 0.
-15, 3, 4, 7
Factor i**2 + 11935*i + 107334.
(i + 9)*(i + 11926)
Suppose -2*c**2/13 - 28800*c/13 + 605682/13 = 0. What is c?
-14421, 21
Find z such that 242*z**5 - 575498*z**4 + 342747840*z**3 - 714938472*z**2 + 474382656*z - 101616768 = 0.
6/11, 1, 1188
What is h in -2*h**5/5 + 28*h**4 + 906*h**3/5 + 476*h**2/5 - 304*h = 0?
-5, -2, 0, 1, 76
Factor 2*k**2 - 272420*k.
2*k*(k - 136210)
Find o, given that -3*o**3/8 + 111*o**2/2 + 6369*o/8 - 7245/4 = 0.
-15, 2, 161
Find l such that 583*l**4 - 23915*l**3 + 257012*l**2 - 238480*l + 4800 = 0.
12/583, 1, 20
Suppose y**3/3 - 580*y**2/3 - 93425*y + 54417750 = 0. What is y?
-530, 555
Solve g**2 + 59967*g + 119930 = 0.
-59965, -2
Find z, given that z**3 - 28005*z**2 - 84022*z - 56016 = 0.
-2, -1, 28008
Factor -13*q**3/6 - 88177*q**2/6 + 2261*q.
-q*(q + 6783)*(13*q - 2)/6
Find t, given that 2*t**3/5 - 183306*t**2/5 + 366604*t/5 = 0.
0, 2, 91651
Determine s so that 15*s**5 - 9237*s**4 - 430188*s**3 - 4877268*s**2 - 958320*s = 0.
-22, -1/5, 0, 660
What is v in -2*v**2 + 11194*v - 31326409/2 = 0?
5597/2
Solve 3*u**4 - 12984*u**3 - 524160*u**2 = 0.
-40, 0, 4368
Solve -3*i**4/7 - 117*i**3/7 - 810*i**2/7 = 0 for i.
-30, -9, 0
Factor -v**4 + 227*v**3 + 7200*v**2 + 57148*v + 50176.
-(v - 256)*(v + 1)*(v + 14)**2
Factor -2*k**4/3 - 20284*k**3/3 + 6762*k**2.
-2*k**2*(k - 1)*(k + 10143)/3
Factor 5*l**2 + 110650*l - 331995.
5*(l - 3)*(l + 22133)
Suppose 338*b**2/5 + 142896*b + 75515040 = 0. Calculate b.
-13740/13
Suppose 5*i**2 - 4230*i + 398520 = 0. What is i?
108, 738
Factor 2*g**2 - 35028*g + 153370098.
2*(g - 8757)**2
Factor 3*d**2/2 + 195*d/2 - 414.
3*(d - 4)*(d + 69)/2
What is t in -2*t**4/11 - 322*t**3/11 + 980*t**2/11 - 656*t/11 = 0?
-164, 0, 1, 2
Factor 2*j**3/7 + 672*j**2 - 3366*j + 18856/7.
2*(j - 4)*(j - 1)*(j + 2357)/7
Determine h so that -2*h**4/3 - 922*h**3/3 - 8092*h**2/3 + 19888*h/3 = 0.
-452, -11, 0, 2
Let -4*w**4 + 42024*w**3 - 110039332*w**2 - 1768706112*w - 7085598976 = 0. Calculate w.
-8, 5261
What is w in 94*w**4/17 - 10146*w**3/17 - 64944*w**2/17 - 4104*w/17 = 0?
-6, -3/47, 0, 114
Solve -2365*h**3 - 1830*h**2 - 80*h = 0 for h.
-8/11, -2/43, 0
Solve -q**3/2 - 121804*q**2 + q/2 + 121804 = 0 for q.
-243608, -1, 1
Solve -2*y**3 - 6620*y**2 - 39666*y - 59472 = 0 for y.
-3304, -3
Factor -3*v**2 - 410997*v + 822006.
-3*(v - 2)*(v + 137001)
Factor -2*x**4 + 118*x**3 + 2132*x**2 + 6512*x.
-2*x*(x - 74)*(x + 4)*(x + 11)
Solve -105*z**5 - 1345*z**4 - 2155*z**3 - 695*z**2 + 220*z = 0 for z.
-11, -1, 0, 4/21
Determine p, given that 5*p**3 + 153110*p**2 - 20*p - 612440 = 0.
-30622, -2, 2
Find w such that 2*w**4/17 - 150*w**3/17 - 6488*w**2/17 - 41112*w/17 + 277344/17 = 0.
-18, 4, 107
Factor 2*v**5 - 242*v**4 + 1844*v**3 - 4100*v**2 + 3626*v - 1130.
2*(v - 113)*(v - 5)*(v - 1)**3
Find p such that 2*p**2/7 + 314456*p/7 + 12360321992/7 = 0.
-78614
Factor 4*p**2/5 + 2564*p - 492936/5.
4*(p - 38)*(p + 3243)/5
Factor 4*g**4 + 1448*g**3 + 8592*g**2 + 17120*g + 11392.
4*(g + 2)**3*(g + 356)
Solve -2*g**2 + 454*g - 16380 = 0.
45, 182
Factor 5*n**3 + 1500*n**2 - 7695*n - 21350.
5*(n - 7)*(n + 2)*(n + 305)
Factor -105*p**2 + 24305*p - 11550.
-5*(p - 231)*(21*p - 10)
Factor d**3/4 - 8054*d**2 + 259628669*d/4 - 1296533045/2.
(d - 16103)**2*(d - 10)/4
Find w, given that -5*w**2 + 995*w + 13780 = 0.
-13, 212
Solve v**2/9 + 124646*v/9 + 3884156329/9 = 0.
-62323
Find o, given that 2*o**4 - 2938*o**3 + 14576*o**2 + 93624*o + 105408 = 0.
-2, 9, 1464
Let -2*b**2/7 + 90780*b/7 + 181568/7 = 0. Calculate b.
-2, 45392
Factor 5*u**5 + 84205*u**4 - 336880*u**3 + 336900*u**2.
5*u**2*(u - 2)**2*(u + 16845)
Let -2*k**3/9 + 99626*k**2/3 - 199250*k/3 + 298874/9 = 0. What is k?
1, 149437
Suppose 3*x**3/5 - 3672*x**2/5 + 48468*x = 0. Calculate x.
0, 70, 1154
Solve 4*v**4/3 + 6548*v**3/9 - 445028*v**2/3 + 590212*v/3 - 442112/9 = 0 for v.
-704, 1/3, 1, 157
Factor 4*c**3 + 219*c**2 - 55*c.
c*(c + 55)*(4*c - 1)
Suppose 4*w**3 + 852*w**2 + 29936*w - 211152 = 0. Calculate w.
-166, -53, 6
Suppose -5*v**4 - 175*v**3 + 205*v**2 + 915*v + 540 = 0. Calculate v.
-36, -1, 3
Suppose -z**2 + 39991*z + 39992 = 0. Calculate z.
-1, 39992
Suppose 4*u**5/9 - 412*u**4/9 + 1188*u**3 + 204*u**2 - 34680*u = 0. What is u?
-5, 0, 6, 51
Find t such that -t**2 - 446*t - 49729 = 0.
-223
Let 36*d**5 + 1884*d**4 + 32668*d**3 + 202548*d**2 + 228704*d + 71760 = 0. What is d?
-23, -15, -13, -2/3
Suppose 2*y**2/13 + 2977548*y/13 + 1108224011538/13 = 0. Calculate y.
-744387
Factor -5*r**3 - 480*r**2 + 24255*r - 46550.
-5*(r - 35)*(r - 2)*(r + 133)
Determine l so that -3*l**2 - 30252*l - 76265292 = 0.
-5042
Solve -345*u**3 + 1335830*u**2 - 1293054400*u - 37480960 = 0.
-2/69, 1936
Determine h, given that -98*h**2 - 37016*h/3 - 3495368/9 = 0.
-1322/21
Factor 5*u**2 - 17890*u - 17895.
5*(u - 3579)*(u + 1)
Find u such that 15*u**4 + 6546*u**3 + 9111*u**2 - 10452*u - 5220 = 0.
-435, -2, -2/5, 1
Solve -3*p**5 + 3936*p**4 - 171774*p**3 + 924708*p**2 - 1349823*p + 592956 = 0.
1, 4, 39, 1267
Solve -5*p**5 - 855*p**4 - 48995*p**3 - 970905*p**2 - 1615640*p + 2636400 = 0.
-65, -52, -3, 1
Determine i, given that -2*i**5/11 + 18*i**4/11 + 4*i**3 + 4*i**2/11 - 42*i/11 - 2 = 0.
-