-5*u**3/3 - 105*u**2 - 2200*u - 45980/3 = 0.
-22, -19
Determine n so that 2*n**4 - 8*n**3 - 236*n**2 + 8*n + 234 = 0.
-9, -1, 1, 13
Factor -3*w**2 + 42549*w - 340200.
-3*(w - 14175)*(w - 8)
Factor 2*n**3/3 - 750*n**2 - 4508*n/3.
2*n*(n - 1127)*(n + 2)/3
Determine o so that 2*o**2/9 - 322*o/3 + 86140/9 = 0.
118, 365
Find u such that -4*u**4 + 20480*u**3 - 27159288*u**2 + 2418913280*u - 55800833284 = 0.
47, 2513
Determine f, given that f**4/4 + 429*f**3/4 - 7075*f**2/4 + 20187*f/4 + 36045/2 = 0.
-445, -2, 9
What is f in 2*f**3 - 504*f**2 + 21450*f - 252500 = 0?
25, 202
Solve h**2 - 34*h - 1232 = 0 for h.
-22, 56
Solve 4*u**5 - 302*u**4 + 4628*u**3 + 7478*u**2 + 2544*u = 0.
-1, -1/2, 0, 24, 53
Suppose -8*k**4 + 1634*k**3 + 1248*k**2 - 3694*k + 820 = 0. Calculate k.
-2, 1/4, 1, 205
Find n such that 9*n**5 + 534*n**4 + 1653*n**3 - 1524*n**2 - 672*n = 0.
-56, -4, -1/3, 0, 1
Factor 5*i**3 - 29420*i**2 - 530775*i - 2390310.
5*(i - 5902)*(i + 9)**2
Let 2*n**5 - 802*n**4 - 44856*n**3 - 565448*n**2 + 611104*n = 0. What is n?
-26, 0, 1, 452
Factor -2*k**2/19 + 290960*k/19 - 10582215200/19.
-2*(k - 72740)**2/19
Factor -3*r**3/5 - 102*r**2/5 + 441*r.
-3*r*(r - 15)*(r + 49)/5
What is f in 2*f**2 + 9140*f + 9138 = 0?
-4569, -1
Suppose 2*j**3/7 + 502*j**2 + 3512*j/7 = 0. Calculate j.
-1756, -1, 0
Factor -5*r**3 + 4800*r**2 + 82785*r + 254020.
-5*(r - 977)*(r + 4)*(r + 13)
Factor 3*c**4 + 1164*c**3 + 111726*c**2 - 231660*c - 342225.
3*(c - 3)*(c + 1)*(c + 195)**2
What is n in 2*n**4/5 - 16972*n**3/5 + 84822*n**2/5 - 101772*n/5 = 0?
0, 2, 3, 8481
Solve -12*i**3 + 459*i**2 - 330*i - 8325 = 0.
-15/4, 5, 37
What is o in 2*o**5 + 560*o**4 - 6*o**3 - 1684*o**2 - 1120*o = 0?
-280, -1, 0, 2
Let -10*r**5 + 1626*r**4 - 5518*r**3 - 32538*r**2 - 34288*r - 8904 = 0. Calculate r.
-2, -1, -2/5, 7, 159
Factor 2*n**3/21 + 16*n**2/3 + 218*n/21 + 36/7.
2*(n + 1)**2*(n + 54)/21
Factor -q**2 + 529*q.
-q*(q - 529)
Let 4*z**5/3 + 224*z**4/3 + 2264*z**3/3 + 976*z**2/3 - 3220*z + 2064 = 0. Calculate z.
-43, -12, -3, 1
Find u such that -745*u**5 + 2970*u**4 + 15685*u**3 + 3190*u**2 - 20820*u - 280 = 0.
-2, -2/149, 1, 7
Factor -4*b**2 + 15372*b + 15376.
-4*(b - 3844)*(b + 1)
Solve -s**3/9 - 10255*s**2/9 + 20522*s/9 + 27352/3 = 0.
-10257, -2, 4
Determine i, given that -32*i**2 - 332712*i - 1729644921/2 = 0.
-41589/8
Solve 2*u**3/15 + 2204*u**2/15 + 39432*u - 2906064/5 = 0 for u.
-558, 14
Find n, given that -2*n**4 + 1118*n**3 - 174100*n**2 + 4874248*n - 9061008 = 0.
2, 33, 262
Factor -4*o**3 - 30580*o**2 - 610400*o - 3050000.
-4*(o + 10)**2*(o + 7625)
Solve 10201*y**5/8 + 201697*y**4/2 - 185311*y**3/2 + 21160*y**2 = 0.
-80, 0, 46/101
Factor -5*d**3 + 640915*d**2 + 640920*d.
-5*d*(d - 128184)*(d + 1)
Let b**5/2 + 17*b**4 + 43*b**3/2 - 327*b**2 + 288*b = 0. What is b?
-32, -6, 0, 1, 3
Find v, given that -v**3 - 2668*v**2 - 281156*v + 572992 = 0.
-2558, -112, 2
Let 2*w**5 - 293894*w**4 + 10797445118*w**3 - 53982229490*w**2 + 86368980992*w - 43183902728 = 0. What is w?
1, 2, 73471
Determine h so that -5*h**3/3 + 2300*h**2/3 - 264500*h/3 = 0.
0, 230
Let -u**4/4 - 3*u**3 + 649*u**2/2 + 2001*u - 444889/4 = 0. Calculate u.
-29, 23
Factor -g**2/9 - 57*g - 512/9.
-(g + 1)*(g + 512)/9
Factor 16*y**2/5 - 106044*y - 132556/5.
4*(y - 33139)*(4*y + 1)/5
Solve -q**2 - 14169*q - 99134 = 0 for q.
-14162, -7
Let z**3 - 237*z**2 + 10920*z + 388700 = 0. What is z?
-23, 130
Suppose 2*i**4/11 - 5790*i**3/11 - 157326*i**2/11 - 122614*i - 321420 = 0. What is i?
-11, -5, 2922
Factor -m**2/3 + 2696*m - 8087/3.
-(m - 8087)*(m - 1)/3
Factor -2*a**3 - 706*a**2 + 2*a + 706.
-2*(a - 1)*(a + 1)*(a + 353)
Factor 2*k**4 + 506*k**3 + 42546*k**2 + 1204126*k + 1162084.
2*(k + 1)*(k + 77)**2*(k + 98)
Solve -3*a**4 - 279*a**3 - 2997*a**2 - 6561*a = 0 for a.
-81, -9, -3, 0
Factor 27*s**2/7 - 494*s.
s*(27*s - 3458)/7
Factor 4*i**2/3 - 52684*i/3 + 105352/3.
4*(i - 13169)*(i - 2)/3
Factor -u**2/2 + 4868*u - 11848712.
-(u - 4868)**2/2
Determine m, given that -2*m**5 + 880*m**4 - 21914*m**3 + 160428*m**2 - 258624*m + 119232 = 0.
1, 12, 414
Factor 2*w**3 + 30*w**2 - 9986*w + 9954.
2*(w - 63)*(w - 1)*(w + 79)
Determine g so that -g**3/4 - 269*g**2 + 539*g = 0.
-1078, 0, 2
Find g, given that -5*g**4 - 1165*g**3 - 87285*g**2 - 2015195*g + 4388930 = 0.
-91, -53, 2
Determine y so that 256*y**4 - 6652*y**3 + 36504*y**2 - 48068*y - 760 = 0.
-1/64, 2, 5, 19
Factor 236*s**2/3 + 716*s/3 + 8.
4*(s + 3)*(59*s + 2)/3
Determine h so that -2*h**2 - 9838*h - 793268 = 0.
-4837, -82
What is w in w**2/2 - 83*w/2 - 267 = 0?
-6, 89
Suppose 2895*p**5 - 3125*p**4 - 14245*p**3 - 7535*p**2 + 690*p = 0. Calculate p.
-1, 0, 46/579, 3
Let 40*r**3 + 225*r**2 + 230*r - 120 = 0. What is r?
-4, -2, 3/8
Suppose 7*w**5/8 - w**4 - 21*w**3/8 + 19*w**2/4 - 2*w = 0. Calculate w.
-2, 0, 1, 8/7
Let 14*w**5/5 + 248*w**4/5 + 298*w**3 + 3072*w**2/5 - 504*w/5 - 864 = 0. What is w?
-6, -5, -12/7, 1
Factor -2*g**2/3 + 2344*g/3 - 2342/3.
-2*(g - 1171)*(g - 1)/3
Factor 2*k**2/11 + 2088*k/11 + 159526/11.
2*(k + 83)*(k + 961)/11
Suppose -4*x**4 + 329*x**3 - 690*x**2 - 2408*x + 640 = 0. What is x?
-2, 1/4, 4, 80
Let -3*m**2/2 + 23466*m - 91775526 = 0. What is m?
7822
Factor -5*i**3/3 + 10*i**2 + 585*i - 16900/3.
-5*(i - 13)**2*(i + 20)/3
Solve -3*s**3 - 1431*s**2 - 171360*s - 169932 = 0.
-238, -1
Find m, given that m**2/5 + 305*m - 64206/5 = 0.
-1566, 41
Determine w, given that -w**5/6 + 2006*w**4 - 12024*w**3 - 216520*w**2/3 - 80200*w = 0.
-2, 0, 10, 12030
What is j in -98*j**3/3 + 14182*j**2/3 + 32800*j/3 + 6272 = 0?
-8/7, 147
Factor 2*r**2/5 - 940*r - 323878/5.
2*(r - 2417)*(r + 67)/5
Factor -h**2 + 336*h.
-h*(h - 336)
Solve 2*l**5 - 396*l**4 - 894*l**3 + 19064*l**2 - 53016*l + 43200 = 0.
-9, 2, 3, 200
Factor k**2 + 10738*k.
k*(k + 10738)
Factor -3*o**3 + 25446*o**2 + 3*o - 25446.
-3*(o - 8482)*(o - 1)*(o + 1)
What is v in 4*v**4 + 952*v**3 + 45060*v**2 + 168944*v + 165200 = 0?
-175, -59, -2
Find q such that 2*q**4/7 - 52*q**3/7 - 1194*q**2/7 + 7020*q/7 = 0.
-18, 0, 5, 39
Factor -3*o**3 + 5565*o**2 + 33546*o - 89328.
-3*(o - 1861)*(o - 2)*(o + 8)
Factor -19*t**2/3 - 13372*t/3 + 2816/3.
-(t + 704)*(19*t - 4)/3
Find s, given that -21*s**3 + 473*s**2 + 734*s + 240 = 0.
-1, -10/21, 24
Factor -11212884*c**4 - 207319068*c**3 - 1386044100*c**2 - 3894452500*c - 3723875000.
-4*(c + 2)*(141*c + 775)**3
Factor -4*y**4 + 104*y**3 - 576*y**2.
-4*y**2*(y - 18)*(y - 8)
Find k, given that -2*k**3 - 876*k**2 + 26042*k - 25164 = 0.
-466, 1, 27
Determine y, given that 4*y**3 + 311*y**2 - 78*y = 0.
-78, 0, 1/4
Suppose 2*a**4/5 - 11742*a**3/5 + 18768*a**2 - 187616*a/5 = 0. What is a?
0, 4, 5863
Factor -5*u**2 - 75230*u - 282977645.
-5*(u + 7523)**2
Suppose 567845*p**3 - 1632765*p**2 - 210105*p - 6615 = 0. What is p?
-21/337, 3
What is n in 4*n**3 - 11800*n**2 - 261728*n + 570624 = 0?
-24, 2, 2972
Factor -2*d**2/13 - 424984*d/13 - 22576425032/13.
-2*(d + 106246)**2/13
Factor -2*w**3/17 + 20*w**2/17 + 4750*w/17 + 75000/17.
-2*(w - 60)*(w + 25)**2/17
Factor 1122002*r**2 - 23968*r + 128.
2*(749*r - 8)**2
Let 4*k**3 + 137280*k**2 + 549072*k + 549056 = 0. What is k?
-34316, -2
Factor 2*m**5/5 + 28*m**4 - 4048*m**3/5.
2*m**3*(m - 22)*(m + 92)/5
Factor -h**2 + 3123*h + 12508.
-(h - 3127)*(h + 4)
Suppose -z**4/2 + 59595*z**3/8 + 14903*z**2/8 - 59595*z/8 - 14899/8 = 0. What is z?
-1, -1/4, 1, 14899
Suppose c**3/4 - 103451*c**2 - 413807*c - 413808 = 0. What is c?
-2, 413808
Factor -2*k**2 - 922676*k - 106416375122.
-2*(k + 230669)**2
Factor p**3/9 + 1105*p**2/9 + 59678*p/9 - 60784/9.
(p - 1)*(p + 58)*(p + 1048)/9
Let 3*v**2/5 - 26826*v/5 - 26829/5 = 0. Calculate v.
-1, 8943
Factor -w**2 - 20080*w - 100801600.
-(w + 10040)**2
What is s in -s**4/2 - 397*s**3 - 6309*s**2/2 - 8262*s - 7074 = 0?
-786, -3, -2
Suppose -143*t**2/4 - 119415*t/4 - 4175/2 = 0. Calculate t.
-835, -10/143
Factor -3*f**2/5 - 6885*f - 68790.
-3*(f + 10)*(f + 11465)/5
Factor f**4/7 - 85*f**3/7 + 1509*f**2/7 - 1395*f/7 - 82350/7.
(f - 61)*(f - 15)**2*(f + 6)/7
What is i in -2*i**4 - 160*i**3 + 6444*i**2 + 13360*i + 6758 = 0?
-109, -1, 31
Factor -5*i**3 + 415*i**2 - 9200*i + 24000.
-5*(i - 40)**2*(i - 3)
Find q, given that -4*q**2/7 + 2580*q/7 + 5176/7 = 0.
-2, 647
Solve -3*q**3/4 + 669*q**2/4 + 1347*q/4 + 675/4 = 0 for q.
-1, 225
Find o such