*y**2/3 - 9435*y + 14850 = 0.
2, 11, 45
Factor -24*w**3 - 97436*w**2 - 98885360*w + 16483600.
-4*(w + 2030)**2*(6*w - 1)
Factor -4*i**3/7 + 200*i**2 - 1372*i.
-4*i*(i - 343)*(i - 7)/7
What is u in -2*u**5/21 - 334*u**4/21 + 7622*u**3/21 - 50954*u**2/21 + 4980*u - 20304/7 = 0?
-188, 1, 2, 9
Factor 2*l**2/5 + 1852*l/5 + 147488/5.
2*(l + 88)*(l + 838)/5
Factor -d**4/4 - 1945*d**3/2 - 3767433*d**2/4 + 7581610*d - 15194404.
-(d - 4)**2*(d + 1949)**2/4
What is c in -2*c**4/3 - 8*c**3 + 56*c**2/3 + 320*c = 0?
-10, -8, 0, 6
Factor 2*m**3/5 - 698*m**2/5 + 3094*m + 9084426/5.
2*(m - 221)**2*(m + 93)/5
Determine q, given that 2*q**3 - 52*q**2 + 382*q - 572 = 0.
2, 11, 13
Factor 14*y**2/11 + 3132*y/11 + 6208/11.
2*(y + 2)*(7*y + 1552)/11
Let -2*s**3/9 - 922*s**2 + 103280*s/3 + 318136/9 = 0. What is s?
-4186, -1, 38
Factor 25*c**2 + 25373*c - 2030.
(c + 1015)*(25*c - 2)
Factor -2*w**2/5 + 268*w/5 + 2870.
-2*(w - 175)*(w + 41)/5
Factor -2*x**2/9 - 339968*x/3 - 14447280128.
-2*(x + 254976)**2/9
Determine c so that -c**3 + 1063*c**2 - 2123*c + 1061 = 0.
1, 1061
Factor -z**2/4 - 127*z/8 - 2013/8.
-(z + 33)*(2*z + 61)/8
Solve -j**4/5 - 218*j**3/5 + 17292*j**2/5 - 80344*j + 3024032/5 = 0 for j.
-284, 22
Factor -3*z**3 + 3351*z**2 + 6738*z - 26856.
-3*(z - 1119)*(z - 2)*(z + 4)
Factor 6303*d**3 + 12648*d**2 + 6387*d + 42.
3*(d + 1)**2*(2101*d + 14)
Factor n**4 + 321*n**3 + 25920*n**2 + 25600*n.
n*(n + 1)*(n + 160)**2
Suppose 500*z**3 - 22492*z**2 - 47360*z - 752 = 0. Calculate z.
-2, -2/125, 47
Factor 2*s**2 - 871176*s + 94868452872.
2*(s - 217794)**2
Suppose -5*t**4 - 15615*t**3 - 46800*t**2 + 20*t + 62400 = 0. What is t?
-3120, -2, 1
Find t such that 2*t**2/9 + 7564*t/9 - 198016/9 = 0.
-3808, 26
Find v, given that 2*v**5/7 + 26*v**4/7 + 12*v**3/7 - 424*v**2/7 + 80*v = 0.
-10, -7, 0, 2
Factor -p**3/2 + 3*p**2 + 199*p/2 - 312.
-(p - 16)*(p - 3)*(p + 13)/2
Let 4*z**2 + 1264*z - 46068 = 0. Calculate z.
-349, 33
Solve -12*a**5 + 1712*a**4 - 75740*a**3 + 967016*a**2 + 382080*a - 662400 = 0 for a.
-1, 2/3, 23, 60
Suppose i**3/2 - 913*i**2/2 + 220171*i/2 - 5298723/2 = 0. What is i?
27, 443
Determine m, given that -25*m**5 + 7110*m**4 - 87890*m**3 - 789080*m**2 + 1230315*m - 360430 = 0.
-7, 2/5, 1, 19, 271
Factor -3*z**3/5 - 12453*z**2/5 - 12854337*z/5 + 142908513/5.
-3*(z - 11)*(z + 2081)**2/5
Factor -s**3/3 - 2500*s**2 + 5001*s - 7502/3.
-(s - 1)**2*(s + 7502)/3
What is u in -u**5/2 + 11*u**4/2 + 9*u**3 - 36*u**2 = 0?
-3, 0, 2, 12
Solve -147*i**5/2 - 591*i**4/2 - 453*i**3/2 - 9*i**2/2 = 0.
-3, -1, -1/49, 0
Find x, given that -5*x**4 + 440*x**3 + 6285*x**2 + 27880*x + 40400 = 0.
-5, -4, 101
Factor 2*k**3 - 116*k**2 + 624*k.
2*k*(k - 52)*(k - 6)
Determine x, given that -x**5/5 + 5*x**4 - 159*x**3/5 + 43*x**2 + 80*x = 0.
-1, 0, 5, 16
Let x**3/5 - 12793*x**2/5 - 102396*x/5 - 153612/5 = 0. Calculate x.
-6, -2, 12801
Let -u**5 - 80*u**4 - 383*u**3 - 604*u**2 - 300*u = 0. What is u?
-75, -2, -1, 0
Factor -2*b**5/5 + 8*b**4/5 + 192*b**3/5 - 1792*b**2/5 + 5632*b/5 - 6144/5.
-2*(b - 4)**4*(b + 12)/5
Factor -47155205*v**3 - 94341120*v**2 - 61425*v - 10.
-5*(v + 2)*(3071*v + 1)**2
What is d in 3*d**3/2 + 339*d**2/2 + 6993*d/2 - 154791/2 = 0?
-63, 13
Factor l**4 + 226*l**3 + 1489*l**2 - 9636*l.
l*(l - 4)*(l + 11)*(l + 219)
Factor -3*t**2/5 - 2322*t + 23232/5.
-3*(t - 2)*(t + 3872)/5
Factor -4*c**2 - 246040*c - 3783480100.
-4*(c + 30755)**2
Factor -3*m**2 - 63*m + 11016.
-3*(m - 51)*(m + 72)
Determine s so that -s**3/3 + 1385*s**2 - 34408*s - 107380/3 = 0.
-1, 26, 4130
Factor -2*n**3/11 - 696*n**2/11 + 12410*n/11.
-2*n*(n - 17)*(n + 365)/11
Factor 4*u**3 + 5336*u**2 + 1779556*u.
4*u*(u + 667)**2
Factor r**2/5 + 9226*r/5 + 1845.
(r + 1)*(r + 9225)/5
Let -5*d**5 + 180*d**4 + 20940*d**3 - 174880*d**2 + 354240*d = 0. Calculate d.
-54, 0, 4, 82
Let -2*x**2/3 + 48428*x/3 - 293158898/3 = 0. What is x?
12107
Factor -5*i**2 - 15111520*i - 11417901835520.
-5*(i + 1511152)**2
What is n in n**4 - 51280*n**3 + 876665754*n**2 - 4998454232472*n + 34946240591997 = 0?
7, 17091
Factor -2*p**3/11 + 1661610*p**2/11 + 604224*p + 6646472/11.
-2*(p - 830809)*(p + 2)**2/11
Factor 2*c**2 - 458*c/5 + 72.
2*(c - 45)*(5*c - 4)/5
Factor -2*f**3 + 112*f**2 + 1822*f - 1932.
-2*(f - 69)*(f - 1)*(f + 14)
Factor 5*z**2 - 7795*z + 2179050.
5*(z - 1194)*(z - 365)
Factor -16*l**2/11 - 714*l/11 - 1998/11.
-2*(l + 3)*(8*l + 333)/11
Determine q so that -4*q**5 - 1800*q**4 + 29492*q**3 - 154104*q**2 + 282992*q - 156576 = 0.
-466, 1, 2, 6, 7
Determine m so that 4*m**4 - 64*m**3 + 116*m**2 + 616*m - 1248 = 0.
-3, 2, 4, 13
Factor -3675*y**3/4 + 1143765*y**2/4 - 65322*y + 3732.
-3*(y - 311)*(35*y - 4)**2/4
Find m, given that -8*m**3 - 4490*m**2 - 5588*m + 6720 = 0.
-560, -2, 3/4
Find f such that -8*f**5/3 + 82*f**4/5 - 12*f**3/5 - 176*f**2/3 - 156*f/5 + 6 = 0.
-1, 3/20, 3, 5
Suppose -3*c**2 + 6669*c + 13350 = 0. What is c?
-2, 2225
Solve -2*a**3/9 + 394*a**2/9 - 25792*a/9 + 561224/9 = 0 for a.
62, 73
Solve 2*k**4/5 + 372*k**3/5 - 752*k**2/5 = 0.
-188, 0, 2
Find u, given that -2*u**2/5 - 92834*u/5 + 185676/5 = 0.
-46419, 2
Factor -5*v**2/2 - 5535*v/2 - 38255.
-5*(v + 14)*(v + 1093)/2
Factor -w**3/4 + 22007*w**2/2 - 88016*w + 176024.
-(w - 44006)*(w - 4)**2/4
Determine g, given that 1688850962*g**4/7 - 3378050632*g**3/7 + 1689548396*g**2/7 - 348744*g/7 + 18/7 = 0.
3/29059, 1
Determine i, given that -i**3/4 - 364425*i**2/4 + 364428*i - 364429 = 0.
-364429, 2
Factor 6*j**3 + 23*j**2/5 - 127*j/5 - 78/5.
(j - 2)*(5*j + 3)*(6*j + 13)/5
Factor l**2/9 + 8096*l/9 + 16386304/9.
(l + 4048)**2/9
Suppose -3*t**2 + 4572*t - 354732 = 0. What is t?
82, 1442
Factor -b**4 + 838*b**3 - 831*b**2 - 5022*b.
-b*(b - 837)*(b - 3)*(b + 2)
Find i such that 8*i**5/7 - 555*i**4/7 + 11367*i**3/7 - 74385*i**2/7 + 26325*i/7 = 0.
0, 3/8, 15, 39
Find b, given that -768*b**5 + 58272*b**4 + 7293*b**3 + 228*b**2 = 0.
-1/16, 0, 76
Factor 5*o**3/2 - 1755*o**2/2 + 72900*o + 729000.
5*(o - 180)**2*(o + 9)/2
Factor 2*j**3/3 - 998*j**2 - 2*j/3 + 998.
2*(j - 1497)*(j - 1)*(j + 1)/3
Solve 6*g**4/5 - 6316*g**3/5 + 1488294*g**2/5 + 93736224*g/5 + 31079808/5 = 0.
-51, -1/3, 552
Solve -g**4 + 661*g**3 - 24953*g**2 + 70247*g - 45954 = 0.
1, 2, 37, 621
Let x**5/7 - 5554*x**4/7 + 1098495*x**3 + 61871688*x**2/7 = 0. What is x?
-8, 0, 2781
Find a such that -5*a**2 + 5950*a - 23720 = 0.
4, 1186
Solve -2*f**2/3 - 321988*f/3 - 12959534018/3 = 0.
-80497
Find k such that 2*k**3 + 724*k**2 + 7058*k + 6336 = 0.
-352, -9, -1
Suppose m**4 - 77*m**3 - 163*m**2 + 389*m + 474 = 0. What is m?
-3, -1, 2, 79
Suppose -2*u**4/3 - 13156*u**3 - 39462*u**2 + 8*u/3 + 52616 = 0. Calculate u.
-19731, -2, 1
Factor -r**2 + 120982*r - 3659161081.
-(r - 60491)**2
Let -5*v**4 - 180*v**3 + 7105*v**2 + 222300*v - 1263500 = 0. Calculate v.
-38, 5, 35
Factor -4*d**4 - 60*d**3 - 236*d**2 - 180*d.
-4*d*(d + 1)*(d + 5)*(d + 9)
Factor -5*d**2 - 37205*d + 186150.
-5*(d - 5)*(d + 7446)
Factor d**2/2 - 7835*d/4 + 3917/4.
(d - 3917)*(2*d - 1)/4
Factor -3*a**4/2 + 321*a**3 + 2664*a**2.
-3*a**2*(a - 222)*(a + 8)/2
Factor -w**2/8 + 212891*w - 90645155762.
-(w - 851564)**2/8
Factor -2*i**3 + 440*i**2 + 379448*i + 757120.
-2*(i - 560)*(i + 2)*(i + 338)
Find p such that -p**2 + 9336*p + 56052 = 0.
-6, 9342
Factor -1014*c**3 - 124059*c**2 - 3825360*c - 1881792.
-3*(2*c + 1)*(13*c + 792)**2
Factor -3*o**2 + 48864*o - 48861.
-3*(o - 16287)*(o - 1)
What is i in 35*i**4 + 1600*i**3 - 355*i**2 - 66180*i + 18900 = 0?
-45, -7, 2/7, 6
Solve 3*j**5/4 - 1869*j**4/4 - 16983*j**3/4 - 51111*j**2/4 - 12798*j = 0 for j.
-3, 0, 632
Factor -3*n**3 - 1077*n**2 - 2145*n - 1071.
-3*(n + 1)**2*(n + 357)
Factor 641*f**2/5 + 302*f/5 - 339/5.
(f + 1)*(641*f - 339)/5
Factor 4*v**3 - 2820*v**2 + 2808*v + 5632.
4*(v - 704)*(v - 2)*(v + 1)
Find p, given that -3*p**4/5 + 84*p**3 + 3579*p**2/5 - 3996*p/5 = 0.
-9, 0, 1, 148
Factor 2*p**3/3 + 502*p**2/3 + 25892*p/3 - 17936.
2*(p - 2)*(p + 76)*(p + 177)/3
Factor -f**3 + 95*f**2 + 1376*f - 22260.
-(f - 106)*(f - 10)*(f + 21)
Let -2*w**5/9 - 64*w**4/9 - 190*w**3/3 - 860*w**2/9 + 2912*w/9 + 1088/3 = 0. What is w?
-17, -12, -4, -1, 2
Factor -2*q**3 + 828*q**2 - 59430*q + 58604.
-2*(q - 322)*(q - 91)*(q - 1)
What is b in -177*b**2 + 1818*b = 0?
0, 606/59
Let 2*q**5/5 - 188*q**4/5 - 398*q**3/5 + 1304*q**2/5 