3*x - 860948.
(x - 68)*(x + 12661)
Factor -4*j**2/9 - 3992*j/9 + 5344/3.
-4*(j - 4)*(j + 1002)/9
Suppose h**5/7 + 750*h**4/7 + 142118*h**3/7 + 560248*h**2/7 + 99591*h + 278258/7 = 0. Calculate h.
-373, -2, -1
Factor c**4/2 - 8*c**3 + 69*c**2/2 - 27*c.
c*(c - 9)*(c - 6)*(c - 1)/2
Suppose -q**3/2 - 655*q**2/2 - 2607*q/2 - 1953/2 = 0. What is q?
-651, -3, -1
Find y, given that y**4 + 2495*y**3 - 7494*y**2 + 4*y + 9992 = 0.
-2498, -1, 2
Factor -2*q**3 + 10674*q**2 + 42720*q + 42728.
-2*(q - 5341)*(q + 2)**2
Determine t so that 2*t**5 + 421*t**4 + 20964*t**3 - 125703*t**2 + 141912*t + 104976 = 0.
-108, -1/2, 3
Find k, given that -5*k**5 - 2675*k**4 - 350915*k**3 + 1868295*k**2 + 6139800*k - 7654500 = 0.
-270, -3, 1, 7
Find u, given that u**4/5 + 39*u**3 + 9979*u**2/5 + 9177*u + 7220 = 0.
-95, -4, -1
Find i such that -21*i**5/2 + 753*i**4 - 11775*i**3/2 - 26877*i**2 - 11922*i + 24180 = 0.
-2, 5/7, 13, 62
Let -21*n**4/5 + n**3/5 + 384*n**2 - 1972*n/5 - 144 = 0. Calculate n.
-10, -2/7, 4/3, 9
Factor -3*z**2 - 2526*z - 234048.
-3*(z + 106)*(z + 736)
Factor t**3/2 - 7063*t**2 - 197911*t/2 - 346430.
(t - 14140)*(t + 7)**2/2
Factor 3*g**2 - 27*g - 5880.
3*(g - 49)*(g + 40)
Factor 10*z**4 - 615*z**3 - 4345*z**2 - 5100*z.
5*z*(z - 68)*(z + 5)*(2*z + 3)
Solve 29*q**3/6 - 1136*q**2 + 4583*q/2 - 233/3 = 0.
1/29, 2, 233
Solve 11*c**4/3 + 1549*c**3/3 + 24205*c**2 + 1128799*c/3 - 207646/3 = 0 for c.
-47, 2/11
Factor -s**3/3 + 718*s**2/3 - 5696*s/3 + 11360/3.
-(s - 710)*(s - 4)**2/3
Determine z so that 4*z**5/11 - 954*z**4/11 + 1422*z**3/11 + 2*z**2/11 - 474*z/11 = 0.
-1/2, 0, 1, 237
Solve -k**3 + 3097*k**2 - 6190*k = 0.
0, 2, 3095
Determine c so that -88*c**4/3 + 420*c**3 - 779*c**2/6 - 12*c + 14/3 = 0.
-2/11, 1/4, 14
Find x, given that x**3/7 + 2*x**2 - 1247*x/7 = 0.
-43, 0, 29
Factor 3*d**4 - 237*d**3 - 3*d**2 + 237*d.
3*d*(d - 79)*(d - 1)*(d + 1)
Factor 2*b**3 + 36*b**2 + 34*b - 480.
2*(b - 3)*(b + 5)*(b + 16)
Let -4*q**2 - 478968*q - 14338146564 = 0. Calculate q.
-59871
Factor -j**4 + 335*j**3 + 2744*j**2.
-j**2*(j - 343)*(j + 8)
Determine q so that 9*q**5 - 78*q**4 + 144*q**3 = 0.
0, 8/3, 6
Find v such that 2*v**5/11 - 166*v**4/11 - 8988*v**3/11 + 685412*v**2/11 + 538510*v + 475398 = 0.
-63, -7, -1, 77
Suppose 2*g**3 + 104*g**2 + 136*g - 36992 = 0. Calculate g.
-34, 16
Solve -a**2/3 - 56954*a - 2432818587 = 0.
-85431
Determine f, given that 46*f**5 - 372*f**4 - 474*f**3 + 872*f**2 - 72*f = 0.
-2, 0, 2/23, 1, 9
Factor s**2/8 - 115909*s/4 + 13434896281/8.
(s - 115909)**2/8
Let -34*l**2 - 293*l - 450 = 0. Calculate l.
-225/34, -2
Let -10*j**2/11 + 99466*j/11 + 39788/11 = 0. Calculate j.
-2/5, 9947
Determine b, given that 128*b**5 + 45408*b**4 + 4300578*b**3 + 47579750*b**2 - 12096882*b + 760266 = 0.
-171, -13, 1/8
Factor 295*w**2 - 1150*w.
5*w*(59*w - 230)
Factor 10*j**4/9 + 19558*j**3/9 + 9995030*j**2/9 + 417707450*j/9.
2*j*(j + 955)**2*(5*j + 229)/9
Determine p so that p**4 + 41*p**3 - 510*p**2 = 0.
-51, 0, 10
Factor y**5/2 - 11*y**4 - 185*y**3/2 - 251*y**2 - 286*y - 116.
(y - 29)*(y + 1)*(y + 2)**3/2
Factor v**3/5 + 2046*v**2/5 + 1206369*v/5 + 31337604.
(v + 180)*(v + 933)**2/5
Factor v**3/5 + 143*v**2/5 + 1064*v + 2940.
(v + 3)*(v + 70)**2/5
What is w in 3*w**4 + 13368*w**3 = 0?
-4456, 0
Suppose -4*s**3 + 617*s**2 + 120530*s - 30171 = 0. Calculate s.
-113, 1/4, 267
What is y in 108*y**5 + 5040*y**4 + 29847*y**3 - 94611*y**2 + 28956*y - 2340 = 0?
-39, -10, 1/6, 2
Factor 104524*u**2/5 - 209056*u/5 + 16/5.
4*(u - 2)*(26131*u - 2)/5
Factor 158*y**2/7 - 138*y + 108/7.
2*(y - 6)*(79*y - 9)/7
Determine u so that u**4 - 8690*u**3 + 147455*u**2 - 121390*u - 277536 = 0.
-1, 2, 16, 8673
Factor -o**3/3 + 467*o**2/3 - 1847*o/3 - 2315/3.
-(o - 463)*(o - 5)*(o + 1)/3
Factor -6*g**3/7 - 3968*g**2/7 + 2648*g/7.
-2*g*(g + 662)*(3*g - 2)/7
Let 13*v**4/4 - 2653*v**3/2 + 704961*v**2/4 - 7677745*v + 1177025 = 0. What is v?
2/13, 115, 178
Let 2*o**3 - 180*o**2 + 1074*o + 7304 = 0. What is o?
-4, 11, 83
Let 5*a**4 - 800*a**3 + 3110*a**2 + 2311200*a + 41731605 = 0. Calculate a.
-27, 107
What is b in 2*b**2/19 + 1358*b/19 + 16008/19 = 0?
-667, -12
Solve -4*v**5 - 6004*v**4 - 11980*v**3 + 18020*v**2 + 47984*v + 23984 = 0.
-1499, -2, -1, 2
Suppose f**2 + 529*f + 528 = 0. Calculate f.
-528, -1
Suppose h**4/3 + 4*h**3/3 - 943*h**2/3 + 2726*h/3 + 1224 = 0. What is h?
-34, -1, 4, 27
Solve 2*f**3/3 + 43882*f**2 - 43884*f - 263296/3 = 0 for f.
-65824, -1, 2
Factor 5*f**4 - 575*f**3 + 2685*f**2 + 7115*f + 3850.
5*(f - 110)*(f - 7)*(f + 1)**2
Determine u so that -u**5 - 1261*u**4 + 5061*u**3 + 1261*u**2 - 5060*u = 0.
-1265, -1, 0, 1, 4
Factor 5*z**2 - 377550*z + 7127200125.
5*(z - 37755)**2
Factor -31327350*n**2/11 - 2083920*n/11 - 34656/11.
-6*(2285*n + 76)**2/11
Suppose -36*a**5 - 276*a**4 + 10419*a**3 + 7080*a**2 - 861*a - 882 = 0. What is a?
-21, -1/2, 1/3, 14
Find p such that p**5 - 71*p**4 - 3222*p**3 + 220450*p**2 + 920725*p + 697125 = 0.
-55, -3, -1, 65
Factor -3*j**2/5 + 3028788*j/5 - 764463062412/5.
-3*(j - 504798)**2/5
Find x, given that 76*x**5 + 70220*x**4 + 16076992*x**3 - 66014224*x**2 + 68879872*x - 3444736 = 0.
-464, 1/19, 2
Factor 4*s**2/7 + 468*s/7 - 2952/7.
4*(s - 6)*(s + 123)/7
Factor 2*z**2/13 - 322*z/13 + 6800/13.
2*(z - 136)*(z - 25)/13
Determine b, given that 4*b**4/3 + 1474*b**3/9 - 88*b**2/3 - 2206*b/9 + 328/3 = 0.
-123, -4/3, 1/2, 1
Find s such that -100*s**4/3 + 3920*s**3 + 4811*s**2/3 - 3563*s - 5782/3 = 0.
-7/10, 1, 118
Factor 11*m**2 + 62295*m + 11326.
(m + 5663)*(11*m + 2)
Let -n**5/8 - 25*n**4/8 + 1155*n**3/4 + 8615*n**2/4 - 41285*n/8 + 21771/8 = 0. Calculate n.
-59, -9, 1, 41
Determine x so that -12*x**5 + 80*x**4 + 240*x**3 - 960*x**2 + 512*x = 0.
-4, 0, 2/3, 2, 8
Suppose 15*k**5 + 24590*k**4 + 952280*k**3 + 13295520*k**2 + 76118400*k + 138240000 = 0. What is k?
-1600, -12, -10/3
Determine k so that -14*k**4 + 21024*k**3 - 7973446*k**2 + 60217164*k + 17856288 = 0.
-2/7, 8, 747
Factor -4*j**3/7 + 720*j**2/7 - 42432*j/7 + 822016/7.
-4*(j - 76)*(j - 52)**2/7
Factor 4*w**5 + 64*w**4 - 304*w**3 + 320*w**2.
4*w**2*(w - 2)**2*(w + 20)
Suppose 37*c**4 - 158*c**3 - 37*c**2 + 158*c = 0. Calculate c.
-1, 0, 1, 158/37
Factor -5*b**2 - 218890*b - 875480.
-5*(b + 4)*(b + 43774)
Factor 2*k**2/13 + 2682520*k/13 + 899489193800/13.
2*(k + 670630)**2/13
Find w, given that 3*w**5 - 9*w**4 - 459*w**3 + 2361*w**2 + 2808*w = 0.
-13, -1, 0, 8, 9
Find z such that 50*z**2 - 435*z + 670 = 0.
2, 67/10
Let -3*w**5 + 411*w**4 - 6669*w**3 + 28917*w**2 = 0. Calculate w.
0, 9, 119
Suppose 2*z**2/7 - 5584328*z/7 + 3898089901448/7 = 0. Calculate z.
1396082
Factor -3*s**4 + 10104*s**3 - 30294*s**2 + 30288*s - 10095.
-3*(s - 3365)*(s - 1)**3
Factor 4*f**3/9 - 120*f**2 + 7332*f + 106032.
4*(f - 141)**2*(f + 12)/9
Determine p so that -3*p**5/2 + 2247*p**4/2 + 3399*p**3 - 11280*p**2 = 0.
-5, 0, 2, 752
Factor 25*t**3/3 - 8080*t**2/3 + 392084*t/3 + 45751888/3.
(t + 52)*(5*t - 938)**2/3
Factor 5*j**3 + 230*j**2 - 6600*j.
5*j*(j - 20)*(j + 66)
Find i such that -2*i**4/5 - 36*i**3 - 1882*i**2/5 - 648*i/5 + 10296/5 = 0.
-78, -11, -3, 2
Let 5*t**5 - 341605*t**4 + 1707945*t**3 - 3074255*t**2 + 2391070*t - 683160 = 0. What is t?
1, 2, 68316
Solve -5*k**4/2 + 226*k**3 - 10495*k**2/2 + 6998*k - 1974 = 0 for k.
2/5, 1, 42, 47
Factor -1559378*v**2/5 - 173068*v/5 - 4802/5.
-2*(883*v + 49)**2/5
Factor -3*r**2 - 714339*r + 714342.
-3*(r - 1)*(r + 238114)
Solve 30*f**4 - 92*f**3 - 322*f**2 + 104*f + 280 = 0.
-2, -14/15, 1, 5
Factor -2*t**4 - 121276*t**3.
-2*t**3*(t + 60638)
Solve 4*p**4 + 9968*p**3 - 1202760*p**2 + 47382192*p - 619053084 = 0 for p.
-2609, 39
Determine q so that -6889*q**2/2 + 444963*q - 28740321/2 = 0.
5361/83
Solve 5*f**4 + 565*f**3 - 3280*f**2 - 38940*f = 0.
-118, -6, 0, 11
Find f, given that -5*f**2 + 5495*f - 232100 = 0.
44, 1055
Determine g, given that 87*g**5 - 2922*g**4 + 24267*g**3 - 12072*g**2 - 9360*g = 0.
-12/29, 0, 1, 13, 20
Find a such that 2*a**3/7 + 11716*a**2/7 + 36718*a + 1412312/7 = 0.
-5836, -11
Find y, given that -y**3 + 2490*y**2 - 14913*y + 22356 = 0.
3, 2484
Factor 5*j**2 + 5015*j + 224660.
5*(j + 47)*(j + 956)
Solve -3*n**5/2 - 360*n**4 + 5913*n**3/2 - 4881*n**2 - 11052*n + 26784 = 0 for n.
-248, -2, 3, 4
Suppose -p**5/2 - 7032*p**4 - 49491153*p**3/2 - 147967499*p**2 