)**2
Factor 2*n**4/11 + 31686*n**3/11 + 125357616*n**2/11 - 1130786568*n/11.
2*n*(n - 9)*(n + 7926)**2/11
Factor 254*c**2 - 21356*c/7 + 240/7.
2*(c - 12)*(889*c - 10)/7
Determine d so that -5*d**2 + 75265*d + 1658250 = 0.
-22, 15075
Determine i, given that 2*i**3 - 108*i**2 - 960*i - 1984 = 0.
-4, 62
Factor -18*y**3 - 1100*y**2 + 7086*y - 10872.
-2*(y - 3)**2*(9*y + 604)
Factor -354482*n**3 + 698860*n**2 + 20136*n + 144.
-2*(n - 2)*(421*n + 6)**2
Solve -2*g**3/5 + 354*g**2 - 7054*g/5 + 5286/5 = 0 for g.
1, 3, 881
Determine m, given that 90*m**3/7 + 1166*m**2/7 - 34648*m/7 - 14040/7 = 0.
-27, -2/5, 130/9
Find g such that g**3 + 696*g**2 - g - 696 = 0.
-696, -1, 1
Determine c so that c**5 + 18*c**4/7 - 9*c**3/7 = 0.
-3, 0, 3/7
Factor 5*o**3 - 695*o**2 - 189840*o + 27800640.
5*(o - 168)**2*(o + 197)
Find l, given that -l**3/5 + 3733*l**2/5 - 564096*l/5 + 21762468/5 = 0.
78, 3577
What is f in -2*f**5 + 48*f**4 - 120*f**3 - 148*f**2 + 474*f - 252 = 0?
-2, 1, 3, 21
Let m**5/3 + 49*m**4/3 - 673*m**3/3 - 4825*m**2/3 + 1656*m + 14160 = 0. What is m?
-59, -4, 3, 15
Solve 74008*x**3 - 485286*x**2 + 9379944*x/11 - 2024072/11 = 0 for x.
1/4, 1006/319
Determine h, given that 2*h**5/3 - 32*h**4/3 - 52*h**3 - 88*h**2/3 + 154*h/3 + 40 = 0.
-3, -1, 1, 20
Factor -i**2 - 2684580*i - 1801742444100.
-(i + 1342290)**2
Factor q**5 - 121*q**4 - 1027*q**3 - 695*q**2 + 6450*q.
q*(q - 129)*(q - 2)*(q + 5)**2
Factor -n**3/3 + 90*n**2 - 6500*n + 169000/3.
-(n - 130)**2*(n - 10)/3
Factor -8*a**4/7 - 49982*a**3/7 - 78062512*a**2/7 + 19518752*a/7.
-2*a*(a + 3124)**2*(4*a - 1)/7
Find p, given that -903*p**5 - 8121*p**4 - 22521*p**3 - 24231*p**2 - 8868*p + 60 = 0.
-5, -2, -1, 2/301
Solve 45*x**5 - 34365*x**4 - 46120*x**3 + 168140*x**2 + 122720*x - 244800 = 0.
-2, 4/3, 765
Find n such that -2*n**2/15 + 5378*n/15 - 10636 = 0.
30, 2659
Suppose r**5/2 - 1047*r**4 + 1096209*r**3/2 = 0. Calculate r.
0, 1047
Factor -2*q**3/11 - 12372*q**2/11 - 49464*q/11 - 4496.
-2*(q + 2)**2*(q + 6182)/11
Determine a so that -a**5/2 - 201*a**4 + 3671*a**3/2 - 5736*a**2 + 7390*a - 3288 = 0.
-411, 1, 2, 4
Factor 3*i**3 + 1014*i**2 - 177549*i - 178560.
3*(i - 128)*(i + 1)*(i + 465)
Find y, given that -4*y**5 + 308*y**4 + 376*y**3 - 5072*y**2 + 6240*y = 0.
-5, 0, 2, 78
Find j, given that -19*j**2 - 3951*j/4 + 13 = 0.
-52, 1/76
Find o such that -o**4/5 - 1856*o**3/5 - 16638*o**2/5 - 5536*o + 9235 = 0.
-1847, -5, 1
Factor -5*k**2 + 44130*k - 97372845.
-5*(k - 4413)**2
Solve -562*n**4/3 - 1685*n**3/3 + 565*n**2/3 + 1685*n/3 - 1 = 0 for n.
-3, -1, 1/562, 1
Let 4*m**3 - 236*m**2 + 3532*m - 3300 = 0. What is m?
1, 25, 33
Let 3*f**3 - 2172*f**2 + 409932*f - 6015168 = 0. Calculate f.
16, 354
Determine l, given that -5*l**3 - 178415*l**2 + 892230*l + 1070640 = 0.
-35688, -1, 6
Factor -x**4/5 + 153*x**3/5 - 232*x**2.
-x**2*(x - 145)*(x - 8)/5
Determine i, given that -i**2/4 + 113542*i - 12891785764 = 0.
227084
Suppose -3*o**4 + 213*o**3 + 9396*o**2 + 9180*o = 0. What is o?
-30, -1, 0, 102
Factor -2*u**3/15 - 46*u**2/5 + 584*u/15.
-2*u*(u - 4)*(u + 73)/15
Factor 4*z**4 + 728*z**3 - 3712*z**2 + 5224*z - 2244.
4*(z - 3)*(z - 1)**2*(z + 187)
Let -h**3/9 - 217*h**2/9 + 889*h/9 + 1105/9 = 0. Calculate h.
-221, -1, 5
Let 2*k**4 + 236*k**3 - 16518*k**2 + 47376*k = 0. Calculate k.
-168, 0, 3, 47
Factor 560505625*n**3 - 1120348350*n**2 - 1325604*n - 392.
(n - 2)*(23675*n + 14)**2
Factor -4*a**2 + 1858104*a - 215784404676.
-4*(a - 232263)**2
Factor j**4/4 - 177*j**3/2 + 513*j**2 + 3186*j - 18792.
(j - 348)*(j - 6)**2*(j + 6)/4
Suppose 3*p**3 - 21624*p**2 - 43260*p = 0. What is p?
-2, 0, 7210
Factor -29*m**2/5 + 867*m/5.
-m*(29*m - 867)/5
Determine n, given that -2*n**2/7 + 96*n + 17280/7 = 0.
-24, 360
Factor 2*z**4 + 768*z**3 + 72176*z**2 - 297984*z + 301088.
2*(z - 2)**2*(z + 194)**2
Let -f**3 + 3854*f**2 + 19291*f + 15436 = 0. Calculate f.
-4, -1, 3859
Let -1292*l**4/5 - 1550*l**3 - 11616*l**2/5 + 18*l/5 = 0. Calculate l.
-3, 0, 1/646
Suppose 3*n**2/5 + 43158*n/5 = 0. What is n?
-14386, 0
Factor f**3/6 + 79*f**2/3 - 6563*f/6 - 1120.
(f - 35)*(f + 1)*(f + 192)/6
Factor -2*c**2/7 + 3482*c/7 + 164404/7.
-2*(c - 1787)*(c + 46)/7
Factor 2*t**3/19 - 7922*t**2/19 + 94776*t/19.
2*t*(t - 3949)*(t - 12)/19
Determine v, given that -3*v**4/2 + 75*v**3 + 5625*v**2/2 - 93750*v - 2343750 = 0.
-25, 50
Factor d**4/5 - 159*d**3 + 156006*d**2/5 + 159040*d + 192000.
(d - 400)**2*(d + 2)*(d + 3)/5
Determine d, given that 2*d**4 + 398*d**3 + 1940*d**2 = 0.
-194, -5, 0
Determine b so that 2*b**2/13 + 4014*b/13 + 4012/13 = 0.
-2006, -1
Find w such that 2*w**5 - 58*w**4 - 790*w**3 - 3438*w**2 - 6372*w - 4320 = 0.
-3, -2, 40
Find j, given that j**4 - 309*j**3 + 20846*j**2 - 59784*j = 0.
0, 3, 94, 212
Let t**5 + 148*t**4 + 143*t**3 - 592*t**2 - 588*t = 0. What is t?
-147, -2, -1, 0, 2
What is z in -3*z**4/7 + 346*z**3/7 - 7148*z**2/7 + 27480*z/7 + 21600/7 = 0?
-2/3, 6, 20, 90
Factor -4*y**3 + 168*y**2 + 484*y - 37128.
-4*(y - 39)*(y - 17)*(y + 14)
Determine u, given that -u**3/12 - 1313*u**2/4 + 9857*u/6 - 1972 = 0.
-3944, 2, 3
Find v such that 2*v**5 + 326*v**4 + 12440*v**3 - 69216*v**2 + 56448*v = 0.
-84, 0, 1, 4
Determine k so that 4*k**2 - 172888*k/3 + 57628/3 = 0.
1/3, 14407
Factor -5*s**4 + 70*s**3 + 775*s**2 - 840*s.
-5*s*(s - 21)*(s - 1)*(s + 8)
Find o such that 25*o**5 + 7535*o**4 + 571786*o**3 + 789086*o**2 + 247261*o + 22451 = 0.
-157, -143, -1, -1/5
What is a in -4*a**4 - 1352*a**3 - 150048*a**2 - 5808376*a - 47477276 = 0?
-133, -61, -11
Factor n**3/4 + 83*n**2/4 - 465*n/2.
n*(n - 10)*(n + 93)/4
Factor -z**3/4 + 10*z**2 + 9*z - 360.
-(z - 40)*(z - 6)*(z + 6)/4
Factor -2*n**3 - 62*n**2 + 594*n - 1170.
-2*(n - 5)*(n - 3)*(n + 39)
Factor -3364*w**3 + 173420*w**2 - 737088*w + 818928.
-4*(w - 47)*(29*w - 66)**2
Factor -2*j**2/11 - 174*j/11 + 1876.
-2*(j - 67)*(j + 154)/11
Find h such that 3*h**3/5 + 7917*h**2/5 + 23712*h/5 - 31632/5 = 0.
-2636, -4, 1
Factor 2*u**3/5 - 6372*u**2/5 - 15336*u - 230256/5.
2*(u - 3198)*(u + 6)**2/5
Find u such that -9*u**5 - 663*u**4 - 6775*u**3 + 11075*u**2 + 9544*u + 1708 = 0.
-61, -14, -1/3, 2
Factor 3*k**2/2 - 994293*k + 329539523283/2.
3*(k - 331431)**2/2
Factor x**2/10 - 143*x/5.
x*(x - 286)/10
Suppose t**5 + 36262*t**4 + 328696896*t**3 - 657538848*t**2 = 0. Calculate t.
-18132, 0, 2
Factor 3*t**4/2 - 159*t**3/2 - 1917*t**2.
3*t**2*(t - 71)*(t + 18)/2
Solve -y**5/9 - y**4/3 + 32*y**3/3 + 188*y**2/9 - 80*y = 0.
-10, -4, 0, 2, 9
Factor v**2/4 + 2275*v/4 + 12949.
(v + 23)*(v + 2252)/4
Suppose n**3/5 - 116967*n**2/5 + 3420846063*n/5 - 30778140969/5 = 0. What is n?
9, 58479
Factor l**4 + 2240*l**3 + 1190112*l**2 - 72002560*l + 1033236736.
(l - 28)**2*(l + 1148)**2
What is i in 2*i**5 + 342*i**4 + 4208*i**3 + 15912*i**2 + 17696*i = 0?
-158, -7, -4, -2, 0
What is k in 3*k**5/7 - 225*k**4 + 10932*k**3/7 - 28032*k**2/7 + 31104*k/7 - 1776 = 0?
1, 2, 518
Determine u so that u**2/2 + 344*u - 2784 = 0.
-696, 8
Solve -3*m**2/4 - 162*m - 13317/4 = 0.
-193, -23
Determine c so that -4*c**4/7 - 680*c**3 - 1362772*c**2/7 + 4532880*c - 177742224/7 = 0.
-606, 11
Find k, given that -4*k**2/7 + 352634*k/7 - 25188 = 0.
1/2, 88158
Let 2*a**4 + 57534*a**3/5 + 23006*a**2/5 - 34518*a/5 = 0. What is a?
-5753, -1, 0, 3/5
Solve 5*s**2/3 + 382174*s + 458608/3 = 0.
-229304, -2/5
What is v in 5*v**3 - 86772*v**2 - 52067*v + 34710 = 0?
-1, 2/5, 17355
Determine t, given that -2*t**2 + 10912*t + 65544 = 0.
-6, 5462
Factor 3*k**2/5 - 1556826*k/5 - 1556829/5.
3*(k - 518943)*(k + 1)/5
Factor -4*d**3/5 - 4*d**2/5 + 896*d/5 - 3264/5.
-4*(d - 12)*(d - 4)*(d + 17)/5
Factor -s**2/3 - 22*s + 1089.
-(s - 33)*(s + 99)/3
Factor -2060*g**3 + 62032*g**2 - 470460*g + 52200.
-4*(g - 15)**2*(515*g - 58)
Factor -73*g**2/2 - 110*g - 3/2.
-(g + 3)*(73*g + 1)/2
Factor -4*t**2 + 2172*t - 277688.
-4*(t - 337)*(t - 206)
Suppose 5*n**3 - 33200*n**2 - 99645*n = 0. Calculate n.
-3, 0, 6643
Find i such that i**2 + 14168*i - 56688 = 0.
-14172, 4
What is o in -4*o**4 + 472*o**3 + 3468*o**2 + 4064*o - 8000 = 0?
-4, 1, 125
Factor 2*s**3 - 13324*s**2 + 13322*s.
2*s*(s - 6661)*(s - 1)
Suppose 2*a**4/7 - 1184*a**3 - 8290*a**2/7 = 0. What is a?
-1, 0, 4145
What is n in 4*n**5 - 928*n**4 - 7764*n**3 + 20128*n**2 + 7760*n - 19200 = 0?
-10, -1, 1, 2, 240
Suppose 4*n**5/7 + 40*n