29*w/3 - 1070.
-(w + 15)*(w + 214)/3
Suppose 5*t**4 - 1095*t**3 + 27000*t**2 - 49660*t = 0. Calculate t.
0, 2, 26, 191
Factor 60*b**3 + 116984*b**2 - 31200*b.
4*b*(b + 1950)*(15*b - 4)
Determine o so that -4*o**5/5 + 514*o**4/5 - 50*o**3 - 154*o**2 + 254*o/5 + 256/5 = 0.
-1, -1/2, 1, 128
Find g such that 2*g**4/13 - 1068*g**3/13 + 9382*g**2/13 + 35652*g/13 + 25200/13 = 0.
-2, -1, 12, 525
Find p such that p**5 + 21*p**4 - 151*p**3 + 291*p**2 - 162*p = 0.
-27, 0, 1, 2, 3
Solve -3*v**2/4 + 100155*v - 3343674675 = 0 for v.
66770
Suppose -2*a**2/3 - 2386*a/3 - 253700/3 = 0. What is a?
-1075, -118
What is w in w**2 - 923618*w/3 + 205248 = 0?
2/3, 307872
Factor 9*g**4 + 52845*g**3 - 70472*g**2 + 23492*g.
g*(g + 5873)*(3*g - 2)**2
What is a in 5*a**4 + 220*a**3 + 865*a**2 - 4210*a + 3120 = 0?
-39, -8, 1, 2
Let 2*t**2/15 + 2054*t/15 - 412456/15 = 0. What is t?
-1199, 172
Factor 3*i**3 - 2706*i**2 + 700035*i - 38889732.
3*(i - 413)**2*(i - 76)
Find v, given that 2*v**4 - 30*v**3 - 2174*v**2 + 11430*v + 13572 = 0.
-29, -1, 6, 39
Solve m**2 - 1077*m - 25300 = 0 for m.
-23, 1100
Suppose -f**3/5 + 2202*f**2 - 22016*f/5 = 0. What is f?
0, 2, 11008
Solve -3*y**3/2 - 147*y**2/2 - 936*y - 864 = 0.
-24, -1
Solve -6*d**5 + 374*d**4 - 5284*d**3 + 28420*d**2 - 56150*d + 15750 = 0.
1/3, 5, 7, 45
Find i such that i**5 - 3733*i**4 + 7459*i**3 + 11197*i**2 - 14920*i - 14924 = 0.
-1, 2, 3731
Determine d so that 3*d**3 - 1371*d**2 + 140868*d = 0.
0, 156, 301
Find n, given that -2*n**3/7 + 27806*n**2/7 - 27792*n/7 - 23832 = 0.
-2, 3, 13902
Solve -h**2/2 - 271344*h - 36813783168 = 0 for h.
-271344
Factor -2*t**2/11 - 634*t/11 + 23868/11.
-2*(t - 34)*(t + 351)/11
Factor 2*t**3/3 - 1540*t**2/3 + 11978*t - 31332.
2*(t - 746)*(t - 21)*(t - 3)/3
Factor 2*y**3/11 - 43108*y**2/11 - 862960*y/11.
2*y*(y - 21574)*(y + 20)/11
Factor 14*u**3 + 2169856*u**2 + 84076030390*u - 24021900100.
2*(u + 77495)**2*(7*u - 2)
Suppose -2*m**3 - 6446*m**2 = 0. What is m?
-3223, 0
Factor x**4 + 82*x**3 - 1359*x**2 - 1440*x.
x*(x - 15)*(x + 1)*(x + 96)
Solve -y**4 - 27*y**3 - 131*y**2 - 105*y = 0 for y.
-21, -5, -1, 0
Let -2*l**2 + 1271780*l - 202178046050 = 0. Calculate l.
317945
Factor -l**3/6 + 1172*l**2/3 - 1361789*l/6 - 6926645/3.
-(l - 1177)**2*(l + 10)/6
Factor -x**2/5 - 568*x/5 - 13056.
-(x + 160)*(x + 408)/5
Factor 2*n**2/13 - 13188*n/13 + 197370/13.
2*(n - 6579)*(n - 15)/13
Determine b so that 2*b**2/3 + 210814*b/3 = 0.
-105407, 0
Solve 4*s**2/7 + 2472*s/7 + 2468/7 = 0 for s.
-617, -1
Factor j**2/7 - 47*j + 2184.
(j - 273)*(j - 56)/7
Solve u**2/4 + 289*u - 254205/4 = 0 for u.
-1345, 189
Factor -2*m**3/3 + 2774*m**2 - 2884266*m - 8661122/3.
-2*(m - 2081)**2*(m + 1)/3
Suppose 8*l**5/7 + 62*l**4/7 + 178*l**3/7 + 34*l**2 + 150*l/7 + 36/7 = 0. What is l?
-3, -2, -1, -3/4
Solve -k**3 + 1652*k**2 - 692080*k + 8068800 = 0.
12, 820
Find l, given that -4*l**4/9 - 5252*l**3/9 + 14176*l**2/3 + 336128*l/9 - 2705408/9 = 0.
-1321, -8, 8
What is o in 3*o**2/5 - 21702*o/5 - 152061/5 = 0?
-7, 7241
Factor 5*f**4 - 295*f**3 + 2250*f**2.
5*f**2*(f - 50)*(f - 9)
Factor -2*o**4/11 - 156*o**3/11 - 3024*o**2/11.
-2*o**2*(o + 36)*(o + 42)/11
Factor 2*k**2/3 - 356*k/3 + 1120.
2*(k - 168)*(k - 10)/3
Let 55*o**2 + 5980*o - 1635 = 0. What is o?
-109, 3/11
Factor -2*q**2/3 + 300672*q - 33901369344.
-2*(q - 225504)**2/3
Find l such that -l**5/10 + 9*l**4/10 + 87*l**3/2 - 6041*l**2/10 + 10143*l/5 = 0.
-23, 0, 7, 18
Factor -g**3/9 + 1409*g**2/9 - 26390*g/9 - 27800/9.
-(g - 1390)*(g - 20)*(g + 1)/9
Factor -98*r**4 + 75110*r**3 - 14429094*r**2 + 14354082*r.
-2*r*(r - 1)*(7*r - 2679)**2
Suppose -124148*k**3 - 8*k**2 + 496592*k + 32 = 0. Calculate k.
-2, -2/31037, 2
Let -525*g**3 + 1565*g**2 + 141780*g + 2700 = 0. What is g?
-15, -2/105, 18
Solve i**2/6 + 259*i/2 + 52675/3 = 0 for i.
-602, -175
Solve -3*t**2/4 + 29337*t/4 - 73305/2 = 0.
5, 9774
What is t in -3*t**5 + 870*t**4/7 + 14184*t**3 - 650496*t**2 - 376320*t = 0?
-70, -4/7, 0, 56
Solve 2*y**2/5 + 82*y/5 + 296/5 = 0.
-37, -4
Determine s, given that 3*s**5 - 129*s**4 + 1452*s**3 - 144*s**2 - 43200*s - 41472 = 0.
-4, -1, 12, 24
Suppose 2*i**4/9 + 1484*i**3/9 + 30416*i**2 - 65472*i - 738048 = 0. What is i?
-372, -4, 6
Let 3*m**3/7 - 141*m**2/7 + 1782*m/7 - 432 = 0. Calculate m.
2, 21, 24
Factor 5*c**4 - 985*c**3 - 4005*c**2 - 3015*c.
5*c*(c - 201)*(c + 1)*(c + 3)
Factor -3*x**2 + 2727*x + 35958.
-3*(x - 922)*(x + 13)
Let -4*o**3 + 51696*o**2 - 167081460*o + 333956168 = 0. What is o?
2, 6461
Let -c**5/10 - 41*c**4/10 - 549*c**3/10 - 2111*c**2/10 + 3883*c/5 + 24684/5 = 0. What is c?
-17, -11, -6, 4
Factor 5*d**2 - 2330*d + 13800.
5*(d - 460)*(d - 6)
Suppose 93*d**5 + d**4 - 93*d**3 - d**2 = 0. What is d?
-1, -1/93, 0, 1
Let -2*m**5 + 144*m**4 + 33046*m**3 - 133716*m**2 + 167728*m - 67200 = 0. What is m?
-100, 1, 2, 168
What is z in z**2 - 575*z + 45214 = 0?
94, 481
Suppose -22*q**2/9 - 36770*q/3 - 10028/9 = 0. Calculate q.
-5014, -1/11
Determine n, given that -405*n**4 + 6645*n**3 + 29750*n**2 - 13040*n + 800 = 0.
-4, 2/27, 1/3, 20
Let p**5/3 + 151*p**4 - 4622*p**3/3 + 1238*p**2 + 4621*p/3 - 1389 = 0. Calculate p.
-463, -1, 1, 9
Let 12*s**4/5 - 1452*s**3/5 + 36903*s**2/5 - 248292*s/5 + 497421/5 = 0. What is s?
9/2, 23, 89
Factor -3*n**4 + 216*n**3 - 4950*n**2 + 30000*n + 140625.
-3*(n - 25)**3*(n + 3)
Factor t**2/4 - 26391*t/2 + 52781/4.
(t - 52781)*(t - 1)/4
Factor 3*c**2/2 - 15675*c/2 - 62796.
3*(c - 5233)*(c + 8)/2
Let v**4/4 - 69*v**3/4 + 306*v**2 - 289*v = 0. Calculate v.
0, 1, 34
Factor 3*h**3/4 + 717*h**2/2 + 23511*h/4.
3*h*(h + 17)*(h + 461)/4
Factor -2*s**3/7 + 234*s**2/7 + 104*s - 960/7.
-2*(s - 120)*(s - 1)*(s + 4)/7
Solve 3*g**5/2 - 345*g**4/2 + 9369*g**3/2 - 78387*g**2/2 + 34680*g = 0 for g.
0, 1, 17, 80
Factor -2*p**2/3 + 92504*p/3 - 1069623752/3.
-2*(p - 23126)**2/3
Solve 2*b**3 + 7446*b**2 + 6941520*b + 20757600 = 0 for b.
-1860, -3
Determine g, given that -2*g**3/5 - 184*g**2 - 58214*g/5 + 59136/5 = 0.
-384, -77, 1
Suppose 5*p**3/4 + 519*p**2/4 - 26*p = 0. What is p?
-104, 0, 1/5
Let -2*j**2 + 164*j - 3360 = 0. What is j?
40, 42
Find u, given that -2*u**5 - 30*u**4 + 382*u**3 - 1146*u**2 + 1276*u - 480 = 0.
-24, 1, 2, 5
Factor 2*y**2 - 634*y - 636.
2*(y - 318)*(y + 1)
Factor 2*z**2/15 - 236*z/15 - 25696/5.
2*(z - 264)*(z + 146)/15
Factor -3*v**3 + 34116*v**2 + 136512*v.
-3*v*(v - 11376)*(v + 4)
Suppose 4*x**3 + 136*x**2 - 1424*x - 3360 = 0. What is x?
-42, -2, 10
Find y, given that -4913*y**5/3 + 3468*y**4 - 2431*y**3/3 - 2892*y**2 + 2448*y - 576 = 0.
-1, 12/17, 1
Solve 9*k**2/5 - 176*k - 196/5 = 0 for k.
-2/9, 98
Factor -2*r**2 + 1198*r + 43044.
-2*(r - 633)*(r + 34)
Find w such that w**3/2 + 95*w**2/2 + 646*w + 1106 = 0.
-79, -14, -2
Factor 2*h**4/7 + 1248*h**3/7 + 291248*h**2/7 + 30126720*h/7 + 1165479200/7.
2*(h + 142)**2*(h + 170)**2/7
What is o in -2*o**5/3 - 322*o**4/3 - 25589*o**3/6 + 13690*o**2/3 + 15417*o/2 + 2187 = 0?
-81, -1/2, 2
Let -q**3/5 + 1569*q**2 - 7844*q/5 = 0. What is q?
0, 1, 7844
Factor 4*x**2 - 360800*x + 8136040000.
4*(x - 45100)**2
Find u such that -2*u**5/13 + 30110*u**4/13 - 113311452*u**3/13 - 113401792*u**2/13 + 226683136*u/13 = 0.
-2, 0, 1, 7528
Let 3*u**3 + 27*u**2 - 642*u - 2808 = 0. Calculate u.
-18, -4, 13
Factor -4*a**3 - 4*a**2 + 219780*a - 19755900.
-4*(a - 135)**2*(a + 271)
Let -3*p**4/7 - 58*p**3/7 + 551*p**2/7 + 3190*p/7 + 1000/7 = 0. What is p?
-25, -4, -1/3, 10
Determine t so that -2*t**4/5 + 17*t**3/5 + 39*t**2/5 - 18*t = 0.
-3, 0, 3/2, 10
Suppose -4*h**2/3 - 142537*h/3 - 11878 = 0. What is h?
-35634, -1/4
Let c**4/4 - 189*c**3/4 - c**2/4 + 189*c/4 = 0. Calculate c.
-1, 0, 1, 189
Factor 4*z**3 - 60272*z**2 + 120532*z - 60264.
4*(z - 15066)*(z - 1)**2
Factor -36*b**3 + 840*b**2 - 5488*b + 10976.
-4*(b - 14)*(3*b - 14)**2
Let -2*v**3/9 - 250*v**2/3 + 3788*v/9 - 1520/3 = 0. What is v?
-380, 2, 3
Solve 4*t**3/7 - 32*t**2 + 276*t + 2160/7 = 0 for t.
-1, 12, 45
Factor -3*l**2/2 + 25089*l/2 + 25095.
-3*(l - 8365)*(l + 2)/2
Factor 3*p**2/8 - 50097*p/8 + 25047/4.
3*(p - 16698)*(p - 1)/8
Solve -2*q**5/17 + 42*q**4/17 - 142*q**3/17 + 6*q**2 = 0 for q.
0, 1, 3, 17
Solve -4*q**3 + 3976*q**2 + 4*q - 3976 = 0.
-1, 1, 994
What is k in -89*k**2/3 + 1781*k - 60 = 0?
3/89, 60
Find z, given that 3*z**4/4 + 19*z**3/4 - 7*z**2/4 - 171