r 123*k**3 + 3930*k**2 - 65136*k + 3168.
3*(k - 12)*(k + 44)*(41*k - 2)
Factor 2*f**2/7 - 80784*f/7 - 242370/7.
2*(f - 40395)*(f + 3)/7
Factor -4*o**3 - 412*o**2 + 840*o.
-4*o*(o - 2)*(o + 105)
Factor 2*j**3/7 - 33780*j**2/7 - 202752*j/7.
2*j*(j - 16896)*(j + 6)/7
Find r such that r**4/3 - 277*r**3/3 + 7489*r**2 - 444875*r/3 + 1437500/3 = 0.
4, 23, 125
Factor -s**3 - 4218*s**2 - 192441*s - 2206988.
-(s + 23)**2*(s + 4172)
Let -2*s**5/15 + 532*s**4/15 + 2152*s**3/15 + 144*s**2 = 0. What is s?
-2, 0, 270
Factor -2*j**3 - 488*j**2 - 29646*j - 29160.
-2*(j + 1)*(j + 108)*(j + 135)
Let k**4/5 - 193*k**3 - 7771*k**2/5 - 12643*k/5 - 5838/5 = 0. Calculate k.
-6, -1, 973
Find r such that -r**5 + 4*r**4 + 214*r**3 + 44*r**2 - 6741*r + 6480 = 0.
-9, 1, 5, 16
Find l such that -2*l**4/5 - 60172*l**3/5 - 120697008*l**2 - 2018053813312*l/5 - 4033694167808/5 = 0.
-10028, -2
Suppose 5*i**4 + 3690*i**3 - 3288715*i**2 - 1464752880*i + 787854451520 = 0. What is i?
-841, 472
Let -15*i**3 - 234695*i**2 - 78230*i = 0. What is i?
-15646, -1/3, 0
Determine p so that -p**3/3 + 200*p**2 + 1807*p/3 + 402 = 0.
-2, -1, 603
Solve 3*k**4/5 + 46746*k**3 + 910495215*k**2 = 0 for k.
-38955, 0
Determine j, given that -3*j**3 - 3036*j**2 + 12*j + 12144 = 0.
-1012, -2, 2
Factor 3*y**2/7 - 120*y/7 - 16587/7.
3*(y - 97)*(y + 57)/7
Suppose 2*d**5 - 139*d**4/5 - 16*d**3/5 + 28*d**2/5 = 0. Calculate d.
-1/2, 0, 2/5, 14
Factor g**3 - 1692*g**2 - 8481*g - 6788.
(g - 1697)*(g + 1)*(g + 4)
Determine h so that 9*h**5/2 + 4182*h**4 + 1992799*h**3/2 + 11521374*h**2 + 37036416*h + 26507264 = 0.
-1376/3, -7, -4, -1
Factor -o**3 - 26*o**2/7 + 8*o/7.
-o*(o + 4)*(7*o - 2)/7
Factor -h**3/5 + 28*h**2 - 1523*h/5 - 1664/5.
-(h - 128)*(h - 13)*(h + 1)/5
Factor 2*s**3/7 + 188*s**2/7 - 43070*s/7 + 1475944/7.
2*(s - 59)**2*(s + 212)/7
Solve -135*h**4 - 1755*h**3 + 3870*h**2 - 2660*h + 600 = 0.
-15, 2/3
Solve 2*h**4/9 - 596*h**3/9 + 44992*h**2/9 - 87616*h/9 = 0 for h.
0, 2, 148
Factor -2*s**4/3 - 758*s**3 - 133300*s**2/3.
-2*s**2*(s + 62)*(s + 1075)/3
Find t such that 2*t**2/13 - 578712*t/13 + 41863447368/13 = 0.
144678
Let -226*v**4/5 - 4*v**3/5 + 2712*v**2/5 + 3664*v/5 + 64/5 = 0. What is v?
-2, -2/113, 4
Determine k so that 3*k**4 - 765*k**3 - 1545*k**2 + 765*k + 1542 = 0.
-2, -1, 1, 257
Determine p so that 3*p**3/5 + 174*p**2/5 - 147*p + 558/5 = 0.
-62, 1, 3
Factor -y**3 + 3154*y**2 + 92253*y + 171882.
-(y - 3183)*(y + 2)*(y + 27)
Suppose -4*a**3 + 672*a**2 - 18432*a + 139264 = 0. What is a?
16, 136
Let 2*q**2/3 - 2158396*q/3 + 582334161602/3 = 0. Calculate q.
539599
Factor 5*w**3 + 31505*w**2 + 251800*w + 503440.
5*(w + 4)**2*(w + 6293)
Factor x**4/5 - 10*x**3 + 576*x**2/5.
x**2*(x - 32)*(x - 18)/5
Determine d, given that 5*d**2 - 22610*d + 112925 = 0.
5, 4517
Factor -55*r**5/4 + 1285*r**4/4 + 3450*r**3.
-5*r**3*(r + 8)*(11*r - 345)/4
Let -4*w**2 - 33828*w = 0. Calculate w.
-8457, 0
Determine y, given that -y**2 - 1013*y + 3048 = 0.
-1016, 3
Suppose 4*t**2 + 2648*t - 2652 = 0. Calculate t.
-663, 1
Factor -g**3 - 1264*g**2/3 + 844*g/3.
-g*(g + 422)*(3*g - 2)/3
Determine b so that 3*b**2/5 + 103860*b + 4494541500 = 0.
-86550
Factor x**5 + 4*x**4 - 277*x**3 + 1616*x**2 - 1344*x.
x*(x - 8)**2*(x - 1)*(x + 21)
Find h, given that 4*h**2 + 104*h - 2688 = 0.
-42, 16
Determine t, given that -5*t**5 - 115*t**4 - 360*t**3 + 2980*t**2 - 3520*t = 0.
-16, -11, 0, 2
Factor -x**2/3 + 22*x - 63.
-(x - 63)*(x - 3)/3
Factor 2*z**2 + 61650*z - 123308.
2*(z - 2)*(z + 30827)
What is g in -g**4 - 8933*g**3 - 17861*g**2 + 8933*g + 17862 = 0?
-8931, -2, -1, 1
Factor t**2/3 + 19468*t/3 + 94750756/3.
(t + 9734)**2/3
Factor 2*s**3/11 - 2058*s**2/11 - 84720*s/11 - 855200/11.
2*(s - 1069)*(s + 20)**2/11
Factor -14*a**2 - 270448*a + 77272.
-2*(a + 19318)*(7*a - 2)
Suppose -231*n**2/5 - 28597*n + 2476/5 = 0. What is n?
-619, 4/231
Find t, given that -4*t**3 - 440*t**2 + 10752*t + 1636992 = 0.
-84, 58
Determine o so that o**3/6 - 991*o**2/6 - 3527*o - 15180 = 0.
-15, -6, 1012
Determine p, given that 2*p**2/3 + 854*p + 2560/3 = 0.
-1280, -1
Suppose -2*u**4/21 - 1272*u**3 - 89244776*u**2/21 - 16983744*u - 356551808/21 = 0. What is u?
-6676, -2
Let -s**3/4 - 8*s**2 + 55475*s/4 - 55407/2 = 0. Calculate s.
-253, 2, 219
Suppose 2*s**4/3 + 600*s**3 - 1202*s**2 + 1804*s/3 = 0. What is s?
-902, 0, 1
Factor -2*g**3/7 - 566*g**2/7 + 235250*g/7 - 16656250/7.
-2*(g - 125)**2*(g + 533)/7
Let q**2/8 - 653*q/4 + 1298 = 0. What is q?
8, 1298
Suppose -o**5/6 + 73*o**4/6 - 911*o**3/3 + 8327*o**2/3 - 28129*o/6 + 13225/6 = 0. What is o?
1, 23, 25
Find m such that 36*m**3/5 + 4228*m**2 + 171448*m/5 + 37056/5 = 0.
-579, -8, -2/9
Solve -8*w**5 + 244*w**4 - 2696*w**3 + 12892*w**2 - 24512*w + 14080 = 0 for w.
1, 5/2, 8, 11
Suppose 4*x**3/3 - 274732*x**2 + 14151926100*x + 42456602500/3 = 0. Calculate x.
-1, 103025
Let j**5/2 - 20210*j**4 - 80849*j**3 + 40418*j**2 + 485097*j/2 - 181908 = 0. Calculate j.
-3, 1, 40424
Factor 3*f**3 + 549*f**2 + 546*f.
3*f*(f + 1)*(f + 182)
Let v**5/6 + 51*v**4/2 + 371*v**3/2 - 6797*v**2/6 + 447*v + 1740 = 0. Calculate v.
-145, -12, -1, 2, 3
Solve 4*c**3 + 56*c**2 - 2176*c + 4096 = 0.
-32, 2, 16
Factor 2*z**3/9 + 122*z**2/3 - 15332*z/9 - 1744.
2*(z - 36)*(z + 1)*(z + 218)/9
Factor -h**2/7 + 472*h/7.
-h*(h - 472)/7
Let 3*c**2 + 14412*c - 43263 = 0. Calculate c.
-4807, 3
Let p**5 + 7*p**4 + 2*p**3 - 28*p**2 - 24*p = 0. What is p?
-6, -2, -1, 0, 2
Factor h**3/10 + 19*h**2/5 + 473*h/10 + 968/5.
(h + 11)**2*(h + 16)/10
Factor t**2 - 35426*t - 141720.
(t - 35430)*(t + 4)
Factor -3*u**4 + 44*u**3 + 366*u**2 + 684*u + 189.
-(u - 21)*(u + 3)**2*(3*u + 1)
Solve 2*y**4/3 - 11*y**3 - 193*y**2 + 313*y/3 + 99 = 0 for y.
-11, -1/2, 1, 27
Factor -3*s**2 - 40971*s + 943920.
-3*(s - 23)*(s + 13680)
Let j**3/6 + 1537*j**2/6 + 2292*j = 0. Calculate j.
-1528, -9, 0
Find x, given that -3*x**5 - 4713*x**4 - 1839210*x**3 + 9285792*x**2 - 11176992*x = 0.
-788, 0, 2, 3
Factor -4*y**5 + 28*y**4 + 332*y**3 + 788*y**2 + 712*y + 224.
-4*(y - 14)*(y + 1)**3*(y + 4)
What is i in 2*i**5/9 - 4028*i**4/9 - 32308*i**3/9 - 9880*i**2 - 10782*i - 4044 = 0?
-3, -1, 2022
Factor 2*t**3 - 124*t**2 - 3368*t + 7216.
2*(t - 82)*(t - 2)*(t + 22)
Find w such that 3*w**5 + 1281*w**4 + 177162*w**3 + 7958544*w**2 + 20619648*w - 74511360 = 0.
-168, -88, -5, 2
Suppose -5*x**3 + 375*x**2 + 13130*x = 0. What is x?
-26, 0, 101
Factor 2*t**2 + 518964*t + 33665454162.
2*(t + 129741)**2
What is c in -c**2/7 - 76430*c/7 - 1460386225/7 = 0?
-38215
Determine b, given that 3*b**5 - 231*b**4 + 4317*b**3 - 4089*b**2 = 0.
0, 1, 29, 47
Let 368449*w**3/8 + 1104133*w**2/8 - 3641*w/8 + 3/8 = 0. What is w?
-3, 1/607
Determine t, given that 2*t**5/5 + 1614*t**4/5 + 324816*t**3/5 - 326432*t**2/5 = 0.
-404, 0, 1
Let -63*l**4 + 11463*l**3 + 594*l**2 - 8748*l + 2184 = 0. What is l?
-1, 2/7, 2/3, 182
Determine v, given that 4*v**2 + 32140*v + 32136 = 0.
-8034, -1
What is z in -2*z**2/19 - 1214272*z/19 - 184307061248/19 = 0?
-303568
Factor -2*g**2 - 186252*g + 372512.
-2*(g - 2)*(g + 93128)
Determine f, given that -f**3/3 - 42*f**2 + 8929*f/3 - 5782 = 0.
-177, 2, 49
Factor 6*j**3 + 56284*j**2 - 112586*j + 56296.
2*(j - 1)**2*(3*j + 28148)
Find o such that -3*o**4 + 144*o**3 + 2220*o**2 - 88704*o - 1201152 = 0.
-16, 34, 46
What is k in -k**5 + 2*k**4 + 232*k**3 - 2048*k**2 + 4608*k = 0?
-18, 0, 4, 8
Factor m**3/6 - 254*m**2 + 3041*m/6 + 761.
(m - 1522)*(m - 3)*(m + 1)/6
Factor -3*u**2/4 + 50811*u/2 - 508035/4.
-3*(u - 33869)*(u - 5)/4
Factor w**3 + 67*w**2 - 11456*w + 11388.
(w - 78)*(w - 1)*(w + 146)
Determine x, given that 72075*x**2 + 206460*x + 147852 = 0.
-222/155
Factor 2*q**2/15 - 5388*q/5 + 10886454/5.
2*(q - 4041)**2/15
Factor -2*d**3/11 + 134*d**2/11 + 68*d - 2016/11.
-2*(d - 72)*(d - 2)*(d + 7)/11
Suppose -13*r**5/3 + 511*r**4 + 2141*r**3 + 5243*r**2/3 + 122*r = 0. Calculate r.
-3, -1, -1/13, 0, 122
Determine t so that 2*t**3/3 - 368*t**2/3 + 14248*t/3 - 27040/3 = 0.
2, 52, 130
Factor p**3/6 - 79*p**2/6 + 193*p - 180.
(p - 60)*(p - 18)*(p - 1)/6
Let -5*t**3 - 18895*t**2 + 37825*t + 56715 = 0. Calculate t.
-3781, -1, 3
Solve p**5/4 + 117*p**4/4 - 248*p**3 + 258*p**2 + 988*p - 1500 = 0.
-125, -2, 2, 6
Factor -5*q**2 + 113105*q + 226230.
-5*(q - 22623)*(q + 2)
Factor b**3/6 - 566*b**2 - 3397*b/6