6*g**3 + 108560*g**2 = 0.
-590, 0, 2, 23
What is x in x**3/7 - 1023*x**2 = 0?
0, 7161
Factor h**3/2 + 7883*h**2/2 + 7789344*h + 85206528.
(h + 11)*(h + 3936)**2/2
Let -20449*u**2 + 3289*u - 529/4 = 0. What is u?
23/286
Let -11*h**5 + 130091*h**4 - 384658378*h**3 + 174687754*h**2 + 384658389*h - 174817845 = 0. Calculate h.
-1, 5/11, 1, 5913
Factor 2*l**4/3 - 60152*l**3 + 4070365532*l**2/3 + 2713757480*l + 4070726450/3.
2*(l - 45115)**2*(l + 1)**2/3
Factor 3*o**5/4 - 162327*o**4/4 - 121752*o**3.
3*o**3*(o - 54112)*(o + 3)/4
Factor 2*x**2 + 281812*x.
2*x*(x + 140906)
Let -3*u**2 - 2181*u - 2178 = 0. What is u?
-726, -1
Determine l, given that l**2 - 4750*l - 489951 = 0.
-101, 4851
Solve 20*r**5 - 204*r**4 - 30476*r**3 + 161196*r**2 - 130536*r = 0 for r.
-37, 0, 1, 21/5, 42
Let -2*u**2/7 + 234*u - 96640/7 = 0. Calculate u.
64, 755
Factor g**5 + 1630*g**4 + 669061*g**3 + 3912216*g**2 - 17802288*g.
g*(g - 3)*(g + 9)*(g + 812)**2
Determine l so that 604323889*l**3 - 604520553*l**2 + 196680*l - 16 = 0.
4/24583, 1
Determine a, given that -a**3/3 - 211*a**2/3 + 1520*a/3 - 436 = 0.
-218, 1, 6
Suppose d**2/2 + 3329*d/2 = 0. Calculate d.
-3329, 0
Suppose -2*o**2 + 850692*o - 90459609858 = 0. What is o?
212673
What is n in 3*n**4 + 38193*n**3 = 0?
-12731, 0
Let 116*w**2 + 155916*w + 16128 = 0. Calculate w.
-1344, -3/29
Factor 14*o**3 - 8*o**2/9 - 8*o/9.
2*o*(7*o - 2)*(9*o + 2)/9
Factor 772*l**3/5 + l**2/5.
l**2*(772*l + 1)/5
Find h such that 2*h**2/11 - 2540*h/11 + 25200/11 = 0.
10, 1260
Suppose -2*k**3/19 - 28*k**2/19 + 24968*k/19 + 50032/19 = 0. What is k?
-118, -2, 106
Determine a, given that -2*a**5 + 2592*a**4 - 1047292*a**3 + 96697544*a**2 + 14411834094*a - 14507486936 = 0.
-76, 1, 457
Let 6*f**5 - 1431*f**4 + 6327*f**3 - 2094*f**2 - 2808*f = 0. Calculate f.
-1/2, 0, 1, 4, 234
Factor 3*s**3 - 427452*s**2 + 15226695135*s - 30451680486.
3*(s - 71241)**2*(s - 2)
What is z in -z**3 + 104619*z**2 - 104618*z = 0?
0, 1, 104618
Factor f**3/3 + 10198*f**2/3 - 10199*f/3.
f*(f - 1)*(f + 10199)/3
Factor -f**3/4 + 3165*f**2/4 - 18963*f/4 + 28431/4.
-(f - 3159)*(f - 3)**2/4
Solve 2*p**4/7 - 678*p**3/7 - 3434*p**2/7 - 2082*p/7 + 6192/7 = 0.
-3, 1, 344
Find l, given that 4*l**3/7 + 16*l**2 - 176*l/7 - 1920 = 0.
-24, -14, 10
Factor 20*t**2/3 + 340334*t + 102100/3.
2*(t + 51050)*(10*t + 1)/3
Factor -4*v**2/5 + 2872*v/5 + 17376/5.
-4*(v - 724)*(v + 6)/5
Let a**3/11 + 630*a**2/11 - 6375*a/11 + 16000/11 = 0. Calculate a.
-640, 5
Factor g**2/12 - 825053*g/6 + 680712452809/12.
(g - 825053)**2/12
Find l, given that -2*l**3 + 14626*l**2 - 26776512*l + 133517160 = 0.
5, 3654
Factor m**3 - 27*m**2 - 754*m - 2520.
(m - 45)*(m + 4)*(m + 14)
Solve 12*i**3 + 1384*i**2 - 6816*i - 11520 = 0 for i.
-120, -4/3, 6
Factor -5*v**2/4 + 140155*v/2 - 280305/4.
-5*(v - 56061)*(v - 1)/4
Suppose -4*n**2 + 12732*n + 102112 = 0. Calculate n.
-8, 3191
What is g in -g**5 + 86*g**4 - 80*g**3 - 422*g**2 - 255*g = 0?
-1, 0, 3, 85
Determine t so that 5*t**3/3 - 393834*t**2 + 551365*t - 472598/3 = 0.
2/5, 1, 236299
Solve -4*w**2 + 1196*w + 31008 = 0.
-24, 323
Factor -2*l**4/5 - 12*l**3 + 15312*l**2/5 + 1014464*l/5 + 17377536/5.
-2*(l - 102)*(l + 44)**3/5
Factor -4*f**3 - 3564*f**2 + 7144*f.
-4*f*(f - 2)*(f + 893)
Factor -3*i**2/4 - 21*i/4 + 10947/2.
-3*(i - 82)*(i + 89)/4
Solve 3*u**5 + 312*u**4 + 11079*u**3 + 150798*u**2 + 563136*u + 606816 = 0.
-43, -28, -3, -2
Factor 5*w**2 - 244200*w + 2981682000.
5*(w - 24420)**2
Solve -3*w**2/5 + 74022*w/5 - 148032/5 = 0 for w.
2, 24672
Factor 2*t**2/13 + 600*t/13 - 6386.
2*(t - 103)*(t + 403)/13
Factor -x**2 + 1068*x + 1069.
-(x - 1069)*(x + 1)
Factor 30*l**2 + 277*l - 1588.
(l - 4)*(30*l + 397)
Factor 24*u**2/17 - 3998*u/17 - 12210/17.
2*(u + 3)*(12*u - 2035)/17
Suppose 38*k**3/3 - 158*k**2/9 - 52*k/3 = 0. What is k?
-2/3, 0, 39/19
Determine f so that 3*f**2/4 - 1311*f/4 + 33453/2 = 0.
59, 378
Factor 15*r**3 - 4539*r**2 + 2712*r + 1812.
3*(r - 302)*(r - 1)*(5*r + 2)
Factor -2*d**3 + 1630*d**2 - 8088*d - 9720.
-2*(d - 810)*(d - 6)*(d + 1)
Factor -64*v**3 - 2052*v**2 - 10112*v - 624.
-4*(v + 6)*(v + 26)*(16*v + 1)
Find b such that -12*b**5 - 3052*b**4 - 90728*b**3 - 17712*b**2 + 363104*b + 119680 = 0.
-220, -34, -2, -1/3, 2
Find z, given that 2*z**3 + 22038*z**2 + 44070*z + 22034 = 0.
-11017, -1
Factor -4*c**3/5 - 912*c**2/5 - 12996*c - 274360.
-4*(c + 38)*(c + 95)**2/5
Factor 5*m**4/6 + 2465*m**3/2 - 3700*m**2/3.
5*m**2*(m - 1)*(m + 1480)/6
Suppose -2*n**2 + 160*n - 3198 = 0. What is n?
39, 41
Find v, given that -4*v**5 + 13836*v**4 - 82872*v**3 - 128*v**2 + 441984*v = 0.
-2, 0, 4, 3453
Determine w, given that -561*w**5/2 + 1783*w**4/2 + 37996*w**3 - 154898*w**2 + 26672*w - 1056 = 0.
-12, 2/33, 2/17, 4, 11
Find v such that 441*v**5 - 8022*v**4 - 65075*v**3 + 86700*v**2 - 14716*v + 672 = 0.
-7, 2/21, 1, 24
Factor 2*f**3/17 - 86588*f**2/17 + 937271800*f/17 - 1874197264/17.
2*(f - 21646)**2*(f - 2)/17
Solve -2*o**4 + 55746*o**3 - 517936086*o**2 + 1604048058342*o = 0 for o.
0, 9291
Factor 4*f**2 + 2100*f + 18576.
4*(f + 9)*(f + 516)
Find p, given that 2*p**4/3 - 30*p**3 - 134*p**2 + 490*p/3 = 0.
-5, 0, 1, 49
Factor 3*i**3/2 + 174*i**2 + 9165*i/2 - 27450.
3*(i - 5)*(i + 60)*(i + 61)/2
Suppose 28*j**5 + 477*j**4/5 - 938*j**3/5 - 3099*j**2/5 + 1548*j/5 + 2592/5 = 0. Calculate j.
-3, -4/5, 8/7, 9/4
Find r, given that 2450*r**2/3 - 58940*r/3 + 354482/3 = 0.
421/35
Factor -3*w**2 - 18759*w - 131166.
-3*(w + 7)*(w + 6246)
Let 27*d**4 - 114732*d**3 + 267609*d**2 - 203868*d + 50964 = 0. Calculate d.
2/3, 1, 4247
Suppose y**4 - 13499*y**3 + 45562497*y**2 - 45522005*y - 91098002 = 0. Calculate y.
-1, 2, 6749
Find a, given that -3*a**3 - 2070*a**2 + 31725*a = 0.
-705, 0, 15
Factor 3*f**2 - 532329*f + 532326.
3*(f - 177442)*(f - 1)
Factor -4*o**2 - 1011912*o - 63997868484.
-4*(o + 126489)**2
Factor 92*f**2/3 - 255016*f/3 - 7392.
4*(f - 2772)*(23*f + 2)/3
Find r such that 14*r**5 - 2006*r**4 + 10330*r**3 - 16354*r**2 + 9672*r - 1656 = 0.
2/7, 1, 3, 138
Solve 3*l**4/2 + 765*l**3 + 157191*l**2/2 + 77832*l = 0 for l.
-368, -141, -1, 0
Suppose 6*x**5 + 45*x**4 + 99*x**3 + 21*x**2 - 117*x - 54 = 0. What is x?
-3, -2, -1/2, 1
Factor 4*t**4 + 11196*t**3 + 7828800*t**2 - 7840000*t.
4*t*(t - 1)*(t + 1400)**2
Let -4*w**5/5 - 292*w**4/5 + 16032*w**3/5 + 1200064*w**2/5 + 1183744*w/5 = 0. Calculate w.
-68, -1, 0, 64
Solve -15*n**4/4 - 3594*n**3 + 139317*n**2/4 - 36327*n/2 - 13068 = 0 for n.
-968, -2/5, 1, 9
Find j such that 2*j**2 + 43208*j + 233366408 = 0.
-10802
Factor 2*n**2 + 186*n + 4240.
2*(n + 40)*(n + 53)
Let -3*q**5 + 1332*q**4 - 10437*q**3 - 11772*q**2 = 0. What is q?
-1, 0, 9, 436
Factor 4*x**3 + 260*x**2 + 2000*x - 50000.
4*(x - 10)*(x + 25)*(x + 50)
Factor -2*k**3/7 - 18468*k**2/7 - 42872448*k/7 - 1102234432/7.
-2*(k + 26)*(k + 4604)**2/7
Suppose p**4 - 157*p**3 + 5017*p**2 - 39951*p + 61074 = 0. What is p?
2, 9, 29, 117
Factor 5*w**2 + 236740*w + 2802291380.
5*(w + 23674)**2
Factor 2*w**4/5 - 26*w**3/5 + 108*w**2/5 - 144*w/5.
2*w*(w - 6)*(w - 4)*(w - 3)/5
Factor -2*k**2/11 - 4250*k/11 + 4252/11.
-2*(k - 1)*(k + 2126)/11
Factor 2*g**3/7 - 818*g**2/7.
2*g**2*(g - 409)/7
Factor -h**3 + 7312*h**2 - 58448*h + 116864.
-(h - 7304)*(h - 4)**2
Factor -2*n**2/13 - 2263304*n/13 - 640318124552/13.
-2*(n + 565826)**2/13
Suppose 2*h**3/13 + 20*h**2/13 - 48*h/13 = 0. What is h?
-12, 0, 2
Solve -4*z**5/7 - 1508*z**4/7 + 12*z**3/7 + 4532*z**2/7 + 3016*z/7 = 0 for z.
-377, -1, 0, 2
Factor i**2/10 + 454*i/5 + 7136/5.
(i + 16)*(i + 892)/10
Find s such that 2*s**5/7 + 70*s**4 + 38350*s**3/7 + 971750*s**2/7 = 0.
-115, -65, 0
Suppose a**3 + 256*a**2 + 1003*a - 1260 = 0. Calculate a.
-252, -5, 1
Find i such that -3*i**4/4 + 1629*i**3/2 - 9747*i**2/4 = 0.
0, 3, 1083
Factor g**3/3 - 2095*g**2 + 18848*g/3 - 4188.
(g - 6282)*(g - 2)*(g - 1)/3
Find v such that 153*v**3/4 + 33*v**2/4 - 65*v/2 - 14 = 0.
-2/3, -28/51, 1
Let 768*c**5 - 1540*c**4 - 17656*c**3 + 18524*c**2 + 110496*c - 576 = 0. Calculate c.
-3, 1/192, 4
Suppose -2*h**5/3 + 128*h**4/3 - 1202*h**3/3 + 636*h**2 = 0. What is h?
0, 2, 9, 53
Factor -5*b**3 + 195*b**2 - 715*b + 525.
-5*(b - 35)*(b - 3)*(b - 1)
Factor 81*b**4 + 131712*b**3 + 9756*b**2.
3*b**2*(b + 1626)*(27*b + 2)
Let -14*v**3 + 198*v**2 + 1566*v + 2538 = 0. What is v?
-3, 141/7
Fact