206*z - 5)**2/2
What is v in -169*v**4/5 - 4914*v**3 - 33504*v**2/5 + 27616*v/5 - 4608/5 = 0?
-144, -2, 4/13
Solve 253*v**2/7 - 2060*v/7 + 288/7 = 0.
36/253, 8
Find b such that -2*b**2 - 118*b/7 + 832/7 = 0.
-13, 32/7
Suppose -1682*u**4/11 - 20010*u**3 + 30384*u**2/11 - 1048*u/11 = 0. What is u?
-131, 0, 2/29
Factor -2*b**2/7 - 6348*b - 35259966.
-2*(b + 11109)**2/7
Find o, given that -4*o**3 - 25680*o**2 - 41190708*o + 82484168 = 0.
-3211, 2
Factor o**3 - 3984*o**2 - 23940*o.
o*(o - 3990)*(o + 6)
Suppose -6*h**4/11 - 7908*h**3/11 - 7890*h**2/11 + 15804*h/11 = 0. What is h?
-1317, -2, 0, 1
Find p such that -2*p**2/13 + 1320*p/13 - 20608/13 = 0.
16, 644
Factor 3*d**3 - 1231413*d**2 + 1231410*d.
3*d*(d - 410470)*(d - 1)
Factor c**3 + 9315*c**2 - c - 9315.
(c - 1)*(c + 1)*(c + 9315)
Factor 20*i**2 - 143692*i - 201208.
4*(i - 7186)*(5*i + 7)
Factor -49*b**5/5 + 25396*b**4/5 - 7253*b**3/5 + 518*b**2/5.
-b**2*(b - 518)*(7*b - 1)**2/5
Determine a so that -a**2/4 - 4771*a/2 + 23880 = 0.
-9552, 10
Factor -2*k**2 - 620*k + 120150.
-2*(k - 135)*(k + 445)
Suppose 11*y**4 + 196*y**3 - 36*y**2 = 0. What is y?
-18, 0, 2/11
Let 5*k**4 + 735*k**3 + 730*k**2 = 0. What is k?
-146, -1, 0
Let h**2/5 - 7*h/5 - 78/5 = 0. What is h?
-6, 13
Factor -l**2 + 1577762*l - 622333232161.
-(l - 788881)**2
Factor -3*j**3/4 + 624*j**2 - 437493*j/4.
-3*j*(j - 581)*(j - 251)/4
Find k, given that 2*k**5/3 + 208*k**4/9 - 346*k**3/9 - 2116*k**2/9 - 992*k/9 + 64 = 0.
-36, -2, -1, 1/3, 4
Suppose q**3/7 - 11572*q**2/7 + 19820*q - 231200/7 = 0. Calculate q.
2, 10, 11560
Factor -i**2/4 - 3331*i - 172536.
-(i + 52)*(i + 13272)/4
Factor -g**3/4 - 4477*g**2/4 + 4481*g.
-g*(g - 4)*(g + 4481)/4
What is a in -2*a**2/3 + 19460*a - 142009350 = 0?
14595
Solve -4*s**4 - 184*s**3 + 1488*s**2 + 184*s - 1484 = 0.
-53, -1, 1, 7
Find w such that -61*w**2/5 - 23*w - 54/5 = 0.
-1, -54/61
Let 3*c**5 - 7002*c**4 + 3078288*c**3 + 1241939418*c**2 - 1245010707*c = 0. Calculate c.
-249, 0, 1, 1291
Solve -14*q**5/9 - 3170*q**4/3 + 142828*q**3/9 - 31480*q**2/3 - 38864*q/9 = 0 for q.
-694, -2/7, 0, 1, 14
Find p, given that -p**2 + 1105528*p - 305548039696 = 0.
552764
Factor -2*f**4/9 + 2888*f**3/9 - 339736*f**2/3 - 16865920*f/9 - 68211200/9.
-2*(f - 730)**2*(f + 8)**2/9
Let 3*n**2/4 + 319198*n - 212799 = 0. Calculate n.
-425598, 2/3
Let -2*t**5/7 - 116*t**4/7 - 1368*t**3/7 + 11332*t**2/7 + 58714*t/7 + 46128/7 = 0. Calculate t.
-31, -3, -1, 8
Determine m, given that -3*m**2 - 2749962*m - 630190916787 = 0.
-458327
Suppose 4*k**4 + 7644*k**3 - 30624*k**2 + 30640*k = 0. Calculate k.
-1915, 0, 2
Determine v so that 2*v**4/7 - 4920*v**3/7 + 2493800*v**2/7 + 93480000*v + 5054000000 = 0.
-100, 1330
Factor 9796*v**3 - 9792*v**2 - 411436*v - 168.
4*(v - 7)*(v + 6)*(2449*v + 1)
Solve -4*w**5/7 - 124*w**4/7 + 156*w**3/7 + 844*w**2/7 - 1640*w/7 + 768/7 = 0.
-32, -3, 1, 2
Factor -l**2 - 161*l - 930.
-(l + 6)*(l + 155)
Factor -2*w**4 - 908*w**3 - 154538*w**2 - 11685960*w - 331273800.
-2*(w + 110)**2*(w + 117)**2
What is y in -2*y**2/7 - 1450868*y/7 - 263127244178/7 = 0?
-362717
Suppose -26*j**5 + 426*j**4 + 10202*j**3 + 28982*j**2 - 90144*j + 50560 = 0. What is j?
-8, 1, 395/13
Factor -3*o**4/5 + 34956*o**3/5 + 34959*o**2/5.
-3*o**2*(o - 11653)*(o + 1)/5
Find v such that 2*v**4 - 236*v**3 + 9200*v**2 - 115284*v - 124722 = 0.
-1, 39, 41
Factor 6915*z**2/2 + 2260*z - 30.
5*(3*z + 2)*(461*z - 6)/2
Factor -2*b**3/5 + 112*b**2/5 + 2*b/5 - 1232.
-2*(b - 55)*(b - 8)*(b + 7)/5
Factor 2*z**2/13 + 1146*z/13.
2*z*(z + 573)/13
Find n such that -n**2/3 + 3478*n/3 = 0.
0, 3478
Factor -5*l**2 - 555*l + 32130.
-5*(l - 42)*(l + 153)
Determine c so that -3*c**3/5 - 1936598*c**2/5 - 312534963332*c/5 - 208355781512/5 = 0.
-322766, -2/3
Find h, given that 12*h**5 + 7412*h**4 - 70748*h**3 - 329156*h**2 - 381424*h - 130416 = 0.
-627, -2, -1, -2/3, 13
Factor s**2/7 + 1958*s/7 + 29145/7.
(s + 15)*(s + 1943)/7
Factor -2*p**3/15 + 298*p**2/3 - 65312*p/5 + 2388984/5.
-2*(p - 589)*(p - 78)**2/15
What is l in 75*l**3 + 95*l**2 - 9880*l - 2640 = 0?
-12, -4/15, 11
Factor v**3/4 + 249*v**2/4 - 715*v.
v*(v - 11)*(v + 260)/4
Let 3*v**2 - 547956*v + 25021314828 = 0. What is v?
91326
Determine a, given that 4*a**2/9 + 386794*a/9 + 193396/9 = 0.
-96698, -1/2
Suppose -2*z**2 - 2178936*z - 593470261512 = 0. Calculate z.
-544734
Factor w**3/2 - 9899*w**2/2 - 9901*w.
w*(w - 9901)*(w + 2)/2
Factor 2*l**2/11 - 1441384*l/11 + 259698479432/11.
2*(l - 360346)**2/11
Suppose 5*o**4/4 + 45*o**3/2 - 375*o**2/4 - 2135*o + 2205 = 0. Calculate o.
-14, 1, 9
Factor 75*v**3 - 41937435*v**2 + 33549912*v - 6709980.
3*(v - 559165)*(5*v - 2)**2
Let 2*n**5 - 5304*n**4 + 3610650*n**3 - 124671884*n**2 + 971414976*n + 2470487616 = 0. Calculate n.
-2, 19, 1308
Solve 6*z**5 - 662*z**4 - 30178*z**3/3 + 5717090*z**2/3 + 5129136*z + 3429216 = 0.
-49, -4/3, 81
Suppose 5*i**4 - 10*i**3 - 425*i**2 + 1030*i + 3600 = 0. Calculate i.
-9, -2, 5, 8
Factor 8427*j**3/7 + 15264*j**2/7 - 3105*j/7 + 150/7.
3*(j + 2)*(53*j - 5)**2/7
Find b, given that -3*b**3/4 + 4935*b**2/4 + 1239*b - 7407 = 0.
-3, 2, 1646
Let w**5 + 285*w**4/2 + 2782*w**3 - 3573*w**2/2 - 7283*w - 2856 = 0. What is w?
-119, -24, -1, -1/2, 2
What is x in -2*x**4 - 1662*x**3 - 300186*x**2 + 18789246*x - 231043428 = 0?
-441, 18, 33
Factor 4*n**2 + 44424*n - 355648.
4*(n - 8)*(n + 11114)
Suppose 4*p**2 + 16552*p - 199200 = 0. What is p?
-4150, 12
Find q such that -4*q**2 + 64012*q - 64008 = 0.
1, 16002
Find y such that 1568*y**3/5 - 1143408*y**2/5 + 244962*y/5 - 13122/5 = 0.
3/28, 729
Suppose -16*k**4/5 - 1299*k**3/5 + 5133*k**2/5 - 4432*k/5 - 204 = 0. What is k?
-85, -3/16, 2
Factor l**2/4 - 1373*l/4 - 18525.
(l - 1425)*(l + 52)/4
Factor -2*z**2/9 + 104*z/9 - 184/3.
-2*(z - 46)*(z - 6)/9
Let 4*n**2 - 43644*n - 1444608 = 0. Calculate n.
-33, 10944
Factor l**4/3 + 921*l**3 - 8307*l**2 + 24939*l - 24948.
(l - 3)**3*(l + 2772)/3
Determine g so that -4*g**4/3 - 328*g**3 - 15028*g**2/3 - 23744*g - 90160/3 = 0.
-230, -7, -2
Determine m so that -3*m**5/8 + 45*m**4 - 11751*m**3/8 + 42471*m**2/4 - 44469*m/2 + 13041 = 0.
1, 2, 6, 42, 69
Factor o**4 + 933*o**3 + 31524*o**2 - 685568*o + 2985216.
(o - 8)**2*(o + 52)*(o + 897)
Find y such that 3*y**3 + 4317*y**2 - 78735*y - 83049 = 0.
-1457, -1, 19
Find t such that -308*t**5/9 + 776*t**4/3 - 4364*t**3/9 - 392*t**2/3 + 4672*t/9 - 128 = 0.
-1, 2/7, 1, 36/11, 4
Factor -4*l**4 + 395796*l**3 - 13054539468*l**2 + 143525958424348*l.
-4*l*(l - 32983)**3
Solve -8*z**4/13 + 278*z**3/13 + 986*z**2/13 + 112*z/13 - 1368/13 = 0 for z.
-9/4, -2, 1, 38
Factor i**2/8 + 129*i/2 + 515/8.
(i + 1)*(i + 515)/8
Find v, given that -100*v**5 - 530*v**4 + 359*v**3 + 4889*v**2/2 - 995*v/2 + 25 = 0.
-5, -5/2, 1/10, 2
Factor -p**2/4 + 829*p/4 + 202515/2.
-(p - 1174)*(p + 345)/4
Find n, given that -n**3 - 364*n**2 + 5635*n - 18950 = 0.
-379, 5, 10
Let -2*x**5/3 - 98*x**4/3 - 316*x**3 - 96*x**2 + 1728*x = 0. What is x?
-36, -12, -3, 0, 2
Factor 3*w**2/2 - 2859*w/2 + 22488.
3*(w - 937)*(w - 16)/2
Determine n, given that -n**4/7 + 21*n**3 - 5331*n**2/7 + 5185*n/7 = 0.
0, 1, 61, 85
Suppose 4*m**4 + 176456*m**3 + 1946044992*m**2 - 176456*m - 1946044996 = 0. Calculate m.
-22057, -1, 1
Factor -2*j**2/17 - 62*j/17 - 336/17.
-2*(j + 7)*(j + 24)/17
Factor 2*m**3/11 - 1176*m**2/11 - 29088*m/11 - 176256/11.
2*(m - 612)*(m + 12)**2/11
Factor 2*s**3/13 + 21896*s**2/13 + 4611634*s + 9216532.
2*(s + 2)*(s + 5473)**2/13
Solve -4*h**4 + 1012*h**3 - 18948*h**2 + 70796*h + 225544 = 0 for h.
-2, 11, 233
Determine k so that -k**2/6 - 75782*k/3 - 2871455762/3 = 0.
-75782
Suppose p**5/3 - 30*p**4 + 238*p**3/3 + 656*p**2 + 2857*p/3 + 406 = 0. Calculate p.
-2, -1, 7, 87
Let -841*p**2/5 - 49242*p/5 - 720801/5 = 0. What is p?
-849/29
Factor -50*u**2 + 46055*u - 4605.
-5*(u - 921)*(10*u - 1)
Factor -2*v**3/5 + 5724*v**2/5 - 760128*v - 85863680.
-2*(v - 1480)**2*(v + 98)/5
Determine g, given that -2*g**5/5 - 62*g**4 + 192*g**3 + 368*g**2 - 1760*g + 7584/5 = 0.
-158, -3, 2
Let 5*c**5 + 980*c**4 - 131575*c**3 - 25983810*c**2 + 52358400*c - 26244000 = 0. Calculate c.
-180, 1, 162
Factor 3*q**3 - 126*q**2 - 912*q + 2304.
3*(q - 48)*(q - 2)*(q + 8)
Find i, given that -i**2 + 369*i + 13702 = 0.
-34, 403
Factor -4*z**2 - 117068*z.
-4*z*(z + 29267)
Find a such that 2*a**2