e c**3 - 269*c**2 - 354665*c + 122973525 = 0.
-621, 445
Factor q**2/2 + 500*q - 3009/2.
(q - 3)*(q + 1003)/2
Let 3*q**2 + 310224*q - 310227 = 0. What is q?
-103409, 1
Factor -n**3/2 + 203*n**2/2 - 2864*n + 21888.
-(n - 171)*(n - 16)**2/2
Factor 9*p**2 + 251880*p + 167916.
3*(p + 27986)*(3*p + 2)
Suppose -w**3/9 - 172*w**2/3 - 171*w = 0. Calculate w.
-513, -3, 0
Suppose -n**4/4 - 10*n**3 - 471*n**2/4 - 234*n + 2052 = 0. Calculate n.
-19, -12, 3
Determine n, given that 4*n**2/7 + 861316*n/7 - 1722648/7 = 0.
-215331, 2
Solve -w**2/5 + 1598*w + 176264/5 = 0.
-22, 8012
Determine k, given that k**4/5 - 286*k**3/5 - 868*k**2/5 + 286*k/5 + 867/5 = 0.
-3, -1, 1, 289
Find t, given that t**3/2 + 1201*t**2/2 - 602*t - 1202 = 0.
-1202, -1, 2
Solve 2*c**5/3 - 12*c**4 + 50*c**3 - 52*c**2/3 - 80*c = 0.
-1, 0, 2, 5, 12
Suppose 3*u**3 + 69*u**2 - 90*u - 432 = 0. What is u?
-24, -2, 3
Let 3*n**3/8 - 1641*n**2/8 - 138087*n/8 + 139725/8 = 0. Calculate n.
-75, 1, 621
Suppose 4*i**4 + 64488*i**3 + 322368*i**2 + 451288*i + 193404 = 0. Calculate i.
-16117, -3, -1
Factor -2*r**2/5 + 9076*r/5 + 9078/5.
-2*(r - 4539)*(r + 1)/5
Factor -5*r**4/6 - 93355*r**3/6 - 186695*r**2/6 - 31115*r/2.
-5*r*(r + 1)**2*(r + 18669)/6
Solve -2*g**3 - 1830*g**2 - 23452*g = 0 for g.
-902, -13, 0
Factor s**2/9 - 1496*s/9 + 1495/9.
(s - 1495)*(s - 1)/9
Suppose -15*c**4/8 + 1689*c**3/8 + 4149*c**2/8 - 993*c/8 - 2415/4 = 0. What is c?
-2, -7/5, 1, 115
Factor 4*w**3/5 - 1900*w**2 + 18988*w/5 - 9492/5.
4*(w - 2373)*(w - 1)**2/5
Find d, given that -4*d**5 - 408*d**4 - 5344*d**3 + 14016*d**2 + 21440*d - 49536 = 0.
-86, -18, -2, 2
Factor 4*c**3 - 2860*c**2 - 268148*c - 5924196.
4*(c - 801)*(c + 43)**2
Determine j, given that j**4/4 + 61*j**3 - 499*j**2/4 - 863*j/2 - 246 = 0.
-246, -1, 4
Determine v, given that 3*v**3 - 129*v**2 - 468*v + 2484 = 0.
-6, 3, 46
Find r, given that 87*r**2/4 + 263*r/4 + 89/2 = 0.
-2, -89/87
Determine l so that 704*l**5/3 + 224*l**4/3 - 4852*l**3/3 + 780*l**2 - 96*l = 0.
-3, 0, 1/4, 24/11
Determine u so that -2*u**3/11 - 58*u**2/11 + 2052*u/11 - 9792/11 = 0.
-51, 6, 16
Factor -4*o**2 + 14076*o + 42264.
-4*(o - 3522)*(o + 3)
Solve v**4/11 + 1391*v**3/11 + 8322*v**2/11 + 16628*v/11 + 11080/11 = 0 for v.
-1385, -2
Factor -2*a**3 - 854*a**2 - 66974*a + 67830.
-2*(a - 1)*(a + 105)*(a + 323)
Suppose -2*l**4/3 + 383936*l**3 + 2303632*l**2 + 13821824*l/3 + 3071520 = 0. What is l?
-2, 575910
Factor 4*w**2 + 55232*w + 110448.
4*(w + 2)*(w + 13806)
Factor -3*a**3 + 5841*a**2 - 46536*a.
-3*a*(a - 1939)*(a - 8)
Find t such that 3*t**5 - 45981*t**4 + 176210682*t**3 - 176118726*t**2 - 176210685*t + 176164707 = 0.
-1, 1, 7663
Factor n**2 + 131*n - 18060.
(n - 84)*(n + 215)
Factor u**2/8 + 5799*u/8 + 2899/4.
(u + 1)*(u + 5798)/8
Factor -98*n**2 + 4745104*n - 57438806048.
-2*(7*n - 169468)**2
Let 5*j**4 + 1610*j**3 + 135525*j**2 + 449500*j - 76880000 = 0. What is j?
-155, -32, 20
Determine n, given that 5*n**4 - 19220*n**3 + 18547140*n**2 - 147455840*n + 294297920 = 0.
4, 1918
Factor 2*o**5 - 224*o**4 - 1920*o**3.
2*o**3*(o - 120)*(o + 8)
Factor 2*f**2/11 + 539868*f/11 + 36432182178/11.
2*(f + 134967)**2/11
Determine c so that -4*c**5 - 1796*c**4 - 21124*c**3 - 64844*c**2 - 73480*c - 27968 = 0.
-437, -8, -2, -1
Factor -2*w**4/3 + 60*w**3 - 942*w**2 - 18360*w - 62424.
-2*(w - 51)**2*(w + 6)**2/3
What is i in i**5/3 - 17*i**4/3 + 29*i**3 - 79*i**2/3 - 364*i/3 + 196 = 0?
-2, 2, 3, 7
Let -26*i**3/7 + 68*i**2 - 2154*i/7 + 2880/7 = 0. What is i?
3, 160/13
Solve -w**4/2 + 40*w**3 + 1865*w**2/2 + 810*w - 1782 = 0.
-18, -2, 1, 99
Find k, given that -8*k**2 - 39266*k - 9816 = 0.
-4908, -1/4
Find t, given that -t**4/5 - 209*t**3/5 - 5978*t**2/5 + 19412*t/5 - 13224/5 = 0.
-174, -38, 1, 2
Suppose -2*a**2 - 3656*a + 88896 = 0. What is a?
-1852, 24
Factor 24529*l**2 - 122647*l + 10.
(l - 5)*(24529*l - 2)
Find y such that -2*y**2/13 - 392*y/13 + 4554/13 = 0.
-207, 11
Factor 2*d**2 + 196*d - 100998.
2*(d - 181)*(d + 279)
What is h in 5*h**4 - 59860*h**3 + 179101110*h**2 + 358381820*h + 179220845 = 0?
-1, 5987
Factor -5606*s**2 - 100906*s + 36.
-2*(s + 18)*(2803*s - 1)
Factor -3*m**4 - 9270*m**3 - 18531*m**2 - 9264*m.
-3*m*(m + 1)**2*(m + 3088)
Let 3*a**3 + 9*a**2 - 984*a + 5940 = 0. Calculate a.
-22, 9, 10
Factor -2*d**3/9 + 27722*d**2/9 - 96132928*d/9 + 479971840/9.
-2*(d - 6928)**2*(d - 5)/9
Let 60*j**3 - 15055*j**2 + 43440*j - 9920 = 0. Calculate j.
1/4, 8/3, 248
Let f**3/5 - 384*f**2/5 + 3393*f/5 - 1350 = 0. Calculate f.
3, 6, 375
Factor i**4/3 + 1017*i**3 + 776225*i**2 + 2325625*i/3.
i*(i + 1)*(i + 1525)**2/3
Factor m**5 - 14*m**4 - 6*m**3 + 92*m**2 - 115*m + 42.
(m - 14)*(m - 1)**3*(m + 3)
Solve -4*p**3/3 + 1232*p**2/3 - 4676*p - 17760 = 0 for p.
-3, 15, 296
Factor -b**2 - 3441*b + 10332.
-(b - 3)*(b + 3444)
What is s in 2*s**2 + 44658*s - 89324 = 0?
-22331, 2
Factor -4*a**2 - 236800*a + 473616.
-4*(a - 2)*(a + 59202)
Factor -2*f**3/15 - 226*f**2/5 - 5538*f/5 - 105794/15.
-2*(f + 13)**2*(f + 313)/15
Factor -2*y**2/7 - 154336*y - 20842150784.
-2*(y + 270088)**2/7
Let 4*l**5 + 228*l**4/5 - 2652*l**3/5 - 21316*l**2/5 - 39768*l/5 - 12672/5 = 0. What is l?
-16, -3, -2/5, 11
Find k, given that -2*k**2/5 + 338802*k/5 = 0.
0, 169401
Solve -u**3 - 1180*u**2 - 441600*u - 50688000 = 0 for u.
-480, -220
Factor 2*i**3/5 - 1112*i**2/5 + 3318*i/5.
2*i*(i - 553)*(i - 3)/5
Factor 3*n**3 - 351*n**2 + 9438*n + 20304.
3*(n - 72)*(n - 47)*(n + 2)
Find n such that 10*n**4 - 865*n**3 - 4075*n**2 - 1820*n = 0.
-4, -1/2, 0, 91
What is t in -95*t**3 + 799515*t**2/4 - 105134250*t - 1383380 = 0?
-1/76, 1052
Factor -4*b**2 + 503168*b - 15823627264.
-4*(b - 62896)**2
Determine a, given that a**4/2 + 1620*a**3 - 3*a**2/2 - 4859*a + 3240 = 0.
-3240, -2, 1
Determine v, given that -3*v**2/4 - 1647*v/4 - 2040 = 0.
-544, -5
Find v such that -4*v**5 + 300*v**4 - 4692*v**3 + 8500*v**2 - 4104*v = 0.
0, 1, 19, 54
Factor 4*m**2 + 2280*m + 13536.
4*(m + 6)*(m + 564)
Suppose 70*y**3 - 36*y**2 - 630*y + 324 = 0. Calculate y.
-3, 18/35, 3
Solve 21*r**4/4 - 3611*r**3/4 + 3506*r**2 - 3359*r - 168 = 0.
-1/21, 2, 168
Factor 5*d**2/3 - 982*d - 17255/3.
(d - 595)*(5*d + 29)/3
Factor 2*t**3 - 230*t**2 + 5364*t + 11664.
2*(t - 81)*(t - 36)*(t + 2)
Find b such that 2*b**5 + 102*b**4 + 176*b**3 - 27624*b**2 + 183872*b - 332928 = 0.
-34, 4, 9
Factor v**4 + 15*v**3 - 64*v**2 - 180*v.
v*(v - 5)*(v + 2)*(v + 18)
Determine t so that -4*t**2 + 26032*t - 52048 = 0.
2, 6506
Let 2*b**5/13 + 16*b**4/13 - 1504*b**3/13 + 13276*b**2/13 - 682*b - 1820 = 0. What is b?
-35, -1, 2, 13
Factor -z**2/6 - 273*z - 1637/6.
-(z + 1)*(z + 1637)/6
Suppose 5*q**2 - 141095*q + 4509920 = 0. What is q?
32, 28187
Determine s so that -s**4 + 78730*s**3 - 2066242596*s**2 + 18079621875256*s - 72285432657952 = 0.
4, 26242
Solve 6*q**3/11 - 824*q**2/11 + 7232*q/11 - 8192/11 = 0 for q.
4/3, 8, 128
Factor -326085*b**2 + 18*b.
-3*b*(108695*b - 6)
Factor -f**2 - 18825*f + 18826.
-(f - 1)*(f + 18826)
Determine r, given that r**2 - 2348386*r + 1378729201249 = 0.
1174193
Suppose 4*f**4 + 132*f**3 - 10948*f**2 + 20892*f + 31968 = 0. What is f?
-72, -1, 3, 37
Let 1875*b**3 + 35400*b**2 + 30063*b + 6534 = 0. Calculate b.
-18, -11/25
Suppose -305*w**3/2 - 24995*w**2/2 - 511475*w/2 + 25215/2 = 0. Calculate w.
-41, 3/61
Solve 4*k**4 - 48*k**3 - 60*k**2 + 104*k = 0 for k.
-2, 0, 1, 13
Factor -i**3/5 + 147*i**2/5 + 298*i/5.
-i*(i - 149)*(i + 2)/5
Determine b, given that -2*b**4 - 16*b**3 + 14*b**2 + 124*b + 96 = 0.
-8, -2, -1, 3
What is t in 1355*t**5/3 - 1351*t**4/6 - t**3/3 = 0?
-2/1355, 0, 1/2
Factor 2*w**3 - 16254*w**2 - 32522*w + 48774.
2*(w - 8129)*(w - 1)*(w + 3)
Let 27*h**4 - 1893*h**3 - 14181*h**2 - 10875*h + 1386 = 0. What is h?
-6, -1, 1/9, 77
Solve -2*n**3/7 + 18664*n**2/7 - 130562*n/7 + 111900/7 = 0.
1, 6, 9325
What is x in -6*x**4/7 - 5163*x**3/7 - 12882*x**2/7 - 10299*x/7 - 2574/7 = 0?
-858, -1, -1/2
Solve -4*f**3 + 580*f**2 + 48128*f - 7274496 = 0 for f.
-111, 128
Factor u**3 - 48488*u**2 + 587820021*u - 1175446098.
(u - 24243)**2*(u - 2)
Factor 2*b**2/9 - 12824*b/3 + 38470/9.
2*(b - 19235)*(b - 1)/9
Suppose -2*q**2 - 32530*q - 32528 = 0. What is q?
-16264, -1
Suppose -x**3 - 1675*x**2 - 23254*x = 0. What is x?
-1661, -14, 0
Let -3*y**2 + 9114*y - 9111 = 0. Calculate y.
1, 3037
Let -b*