75
Factor i**2/2 + 1201*i/2 + 1199.
(i + 2)*(i + 1199)/2
Factor -t**3 - 181*t**2 - 180*t.
-t*(t + 1)*(t + 180)
Find s, given that -234*s**2 - 23162*s + 396 = 0.
-99, 2/117
Factor -5*o**2 + 150*o - 1080.
-5*(o - 18)*(o - 12)
Determine w, given that w**2/2 - 62064*w + 1925970048 = 0.
62064
Solve 3*p**2 - 5526*p - 38829 = 0.
-7, 1849
Factor 2734*z**2 + 142164*z - 208.
2*(z + 52)*(1367*z - 2)
Determine m, given that -12*m**2 + 2188905*m - 2188893 = 0.
1, 729631/4
Let -2*a**5/5 + 2266*a**4/5 + 462*a**3 - 47546*a**2/5 - 92948*a/5 - 9072 = 0. Calculate a.
-4, -1, 5, 1134
Let -12*t**4/7 - 310005*t**3/7 + 697554*t**2/7 - 66435*t + 77508/7 = 0. Calculate t.
-25836, 1/4, 1
Factor 2*d**3/3 - 686*d**2 - 322270*d + 1081822066/3.
2*(d - 871)**2*(d + 713)/3
Factor 3*m**2/2 + 3363*m/4 + 4185/2.
3*(m + 558)*(2*m + 5)/4
Determine t so that -57*t**2 - 3384*t + 2160 = 0.
-60, 12/19
Factor n**5/5 + 202*n**4/5 - 6*n**3/5 - 244*n**2 - 1619*n/5 - 606/5.
(n - 3)*(n + 1)**3*(n + 202)/5
What is g in 5*g**3 - 32885*g**2 + 53955880*g + 379304240 = 0?
-7, 3292
Factor q**2/4 + 50*q + 9271/4.
(q + 73)*(q + 127)/4
Solve d**3 - 820*d**2 + 171332*d - 1318688 = 0.
8, 406
Factor -5*l**3 - 770*l**2 - 11455*l + 26030.
-5*(l - 2)*(l + 19)*(l + 137)
Let 4*b**3 + 10720*b**2 + 7117648*b - 86962368 = 0. What is b?
-1346, 12
Factor 5*j**3 - 1995*j**2 + 15720*j - 31280.
5*(j - 391)*(j - 4)**2
What is h in -5*h**2 - 5098340*h - 1299653537780 = 0?
-509834
Suppose -5*f**2 + 4125*f - 4120 = 0. Calculate f.
1, 824
Suppose 256*y**5/3 + 1864*y**4/3 + 290*y**3/3 - 1093*y**2/3 + 75*y = 0. What is y?
-225/32, -1, 0, 1/4, 1/2
Find p, given that 2*p**3 - 22*p**2 - 58*p + 78 = 0.
-3, 1, 13
Factor 3*x**4 + 1758*x**3 - 65880*x**2 + 800928*x - 3224448.
3*(x - 12)**3*(x + 622)
Factor -w**3/5 + 21*w**2/5 - 7*w - 57/5.
-(w - 19)*(w - 3)*(w + 1)/5
Factor 18*q**3 - 4620*q**2 + 296450*q.
2*q*(3*q - 385)**2
What is f in -4*f**3/3 - 644*f**2 - 66008*f/3 = 0?
-446, -37, 0
Solve 18*r**4/7 - 13676*r**3/7 + 65018*r**2/7 - 9488*r - 18120/7 = 0.
-2/9, 2, 3, 755
Let -1166*k**2/5 - 1182*k/5 - 16/5 = 0. Calculate k.
-1, -8/583
Factor 5*m**4 + 280*m**3 + 3770*m**2 + 18480*m + 28665.
5*(m + 3)*(m + 7)**2*(m + 39)
Suppose -4*k**3 + 8236*k**2 - 884800*k + 24423168 = 0. What is k?
56, 1947
Suppose -2*v**2/13 + 1829780*v/13 - 418511856050/13 = 0. What is v?
457445
Factor 25*h**2 - 218665*h - 87470.
5*(h - 8747)*(5*h + 2)
Find w such that -2*w**2/3 - 32*w - 640/3 = 0.
-40, -8
Factor 2*o**2/7 + 10816*o/7 + 14623232/7.
2*(o + 2704)**2/7
Let -5*u**3 - 985*u**2 - 23510*u + 142800 = 0. Calculate u.
-168, -34, 5
Factor -2*f**2/11 - 570*f/11 + 319788/11.
-2*(f - 282)*(f + 567)/11
Solve 9*h**4/7 + 6708*h**3/7 + 48660*h**2/7 - 35424*h/7 = 0 for h.
-738, -8, 0, 2/3
Find f, given that 5*f**2 - 376130*f + 7073688845 = 0.
37613
Let 4*o**4/5 + 42452*o**3/5 - 12*o**2/5 - 127364*o/5 - 84904/5 = 0. What is o?
-10613, -1, 2
Let s**5/2 - 57*s**4/2 + 549*s**3 - 4070*s**2 + 10164*s = 0. What is s?
0, 6, 7, 22
Factor l**2 + 29*l - 210.
(l - 6)*(l + 35)
Solve -2*q**4/7 + 58*q**3/7 - 370*q**2/7 + 734*q/7 - 60 = 0 for q.
1, 2, 5, 21
Factor 363*m**2/2 + 29931*m + 2467947/2.
3*(11*m + 907)**2/2
Solve 5*z**3/2 - 377305*z**2 + 4527525*z/2 - 3395610 = 0.
3, 150916
Suppose -2*b**4/13 - 480*b**3/13 - 29726*b**2/13 - 109032*b/13 + 139240/13 = 0. Calculate b.
-118, -5, 1
Solve 5*k**3 + 7190330*k**2 + 2585042275445*k = 0.
-719033, 0
Factor 2*d**4/11 + 2287768*d**3/11 + 872312974380*d**2/11 + 110868943645232600*d/11 - 110869815960494750/11.
2*(d - 1)*(d + 381295)**3/11
Determine u so that -25*u**4 - 2602*u**3 - 7783*u**2 - 606*u = 0.
-101, -3, -2/25, 0
Suppose -f**4/5 + 106*f**3/5 - 408*f**2/5 = 0. Calculate f.
0, 4, 102
Factor -2*z**2 + 792*z - 17856.
-2*(z - 372)*(z - 24)
Let -40*v**4 - 18276*v**3 + 56996*v**2 - 20280*v - 18400 = 0. What is v?
-460, -2/5, 1, 5/2
What is k in 4*k**4 - 5812*k**3 - 11636*k**2 - 5820*k = 0?
-1, 0, 1455
Factor -v**2/4 + 42*v - 3807/4.
-(v - 141)*(v - 27)/4
Solve -88*b**3 - 14356*b**2 - 1956*b = 0 for b.
-163, -3/22, 0
What is t in -2*t**5/7 - 536*t**4/7 + 13588*t**3/7 - 123296*t**2/7 + 69730*t - 102200 = 0?
-292, 5, 7
Determine k, given that -k**3/4 + 8125*k**2/4 - 4131050*k + 20604500 = 0.
5, 4060
Factor x**3 + 279*x**2 + 19872*x + 57132.
(x + 3)*(x + 138)**2
Solve -6*f**5 + 37940*f**4 - 59964154*f**3 - 40081516*f**2 + 140000712*f - 39992976 = 0.
-2, 1/3, 1, 3162
Factor 3*n**2 + 126*n - 264.
3*(n - 2)*(n + 44)
Factor -3*t**3/5 + 1476*t**2/5 - 133164*t/5 + 3359232/5.
-3*(t - 384)*(t - 54)**2/5
Factor -w**3 - 104997*w**2 - 2756145000*w - 2756040004.
-(w + 1)*(w + 52498)**2
Let -4*f**4 + 54968*f**3 + 220048*f**2 - 1539680*f + 1759488 = 0. Calculate f.
-8, 2, 13746
Let -3*g**2/5 - 29763*g/5 - 59514/5 = 0. Calculate g.
-9919, -2
Factor j**3 - 450*j**2 + 3083*j + 7974.
(j - 443)*(j - 9)*(j + 2)
Factor 2*f**2/3 - 1722*f - 210600.
2*(f - 2700)*(f + 117)/3
Factor -n**3/5 + 448*n**2/5 + 899*n/5 + 90.
-(n - 450)*(n + 1)**2/5
Factor 3*m**3/4 + 24833*m**2/4 + 51385685*m/4 - 17131321/4.
(m + 4139)**2*(3*m - 1)/4
Factor -6642*d**2 + 99615*d + 225.
-3*(d - 15)*(2214*d + 5)
Find z such that -44*z**3 + 17740*z**2 - 73448*z + 12768 = 0.
2/11, 4, 399
Solve 4*g**3/7 - 5564*g**2/7 - 36*g/7 + 50076/7 = 0.
-3, 3, 1391
Factor 3*t**4 - 768*t**3 + 729*t**2 + 9180*t.
3*t*(t - 255)*(t - 4)*(t + 3)
Solve 2*o**5 - 260740*o**4 + 11331065090*o**3 - 164149362473600*o**2 + 328264732794880*o - 164126701125632 = 0 for o.
1, 43456
Solve -50*j**5/3 - 1760*j**4/3 + 42112*j**3/3 - 258380*j**2/3 + 508306*j/3 - 290228/3 = 0.
-53, 1, 2, 37/5
Factor -120*h**2 - 183*h + 531.
-3*(h + 3)*(40*h - 59)
Let 2*h**4/9 + 38*h**3/3 + 350*h**2/3 + 1766*h/9 + 92 = 0. What is h?
-46, -9, -1
Solve -2*l**4/11 + 218*l**3/11 - 422*l**2/11 - 642*l/11 = 0 for l.
-1, 0, 3, 107
Let 3*o**2/8 + 112863*o/4 + 4246018923/8 = 0. Calculate o.
-37621
Factor 3*w**4/8 + 40989*w**3/8 + 20493*w**2/4.
3*w**2*(w + 1)*(w + 13662)/8
Factor f**2/3 + 95*f/3 - 22550/3.
(f - 110)*(f + 205)/3
Factor -2*k**4 + 4*k**3 + 80*k**2 - 100*k - 750.
-2*(k - 5)**2*(k + 3)*(k + 5)
Factor -v**2/8 - 3365*v - 22646450.
-(v + 13460)**2/8
Solve -3*h**2/5 + 14196*h/5 - 42561/5 = 0.
3, 4729
Let -k**3/2 - 109*k**2/8 + 1645*k/8 + 209/4 = 0. What is k?
-38, -1/4, 11
Solve -5*d**4 + 587090*d**3 - 17233146305*d**2 - 34468053900*d - 17234320500 = 0 for d.
-1, 58710
Suppose -9*m**2/2 + 1297*m/2 - 10697 = 0. What is m?
19, 1126/9
Find r such that -3*r**4/2 + 250809*r**3/2 - 5242221603*r**2/2 + 5241469191*r/2 + 5241970803 = 0.
-1, 2, 41801
Solve -2*z**5 - 318622*z**4 - 12690475284*z**3 - 38069195528*z**2 - 25379038864*z = 0 for z.
-79654, -2, -1, 0
Factor -p**2/2 - 2588*p - 41280.
-(p + 16)*(p + 5160)/2
Let 2*d**4/9 - 50*d**3/3 - 334*d**2/9 + 674*d/3 - 1540/9 = 0. What is d?
-5, 1, 2, 77
What is m in m**5 - 179*m**4 + 4230*m**3 - 39634*m**2 + 166649*m - 262395 = 0?
5, 7, 153
Factor 4*t**2 + 4188*t + 765584.
4*(t + 236)*(t + 811)
What is l in 9*l**4 + 10149*l**3 + 1845468*l**2 - 616574700*l + 205319472 = 0?
-646, 1/3, 164
Let -4*z**4/5 - 48*z**3/5 - 172*z**2/5 - 96*z/5 + 64 = 0. What is z?
-5, -4, 1
Factor 5*p**3 + 550*p**2 + 14395*p - 14950.
5*(p - 1)*(p + 46)*(p + 65)
Factor v**3/3 + 143*v**2/3 - 348*v + 300.
(v - 6)*(v - 1)*(v + 150)/3
Factor 46*a**2 + 35932*a - 31280.
2*(a + 782)*(23*a - 20)
Factor -3*r**2/4 - 45*r + 1677.
-3*(r - 26)*(r + 86)/4
Determine t, given that t**2 + 468*t - 123328 = 0.
-656, 188
Factor n**4 - 15*n**3 - 52*n**2 - 36*n.
n*(n - 18)*(n + 1)*(n + 2)
Suppose -i**2/3 - 257210*i - 49617738075 = 0. Calculate i.
-385815
Let -5*h**5 - 100*h**4 + 1310*h**3 - 560*h**2 - 19185*h + 36540 = 0. What is h?
-29, -4, 3, 7
Suppose -2*w**4 + 87328*w**3 - 174646*w**2 - 87328*w + 174648 = 0. Calculate w.
-1, 1, 2, 43662
Factor c**2/9 - 6332*c/3 - 6333.
(c - 18999)*(c + 3)/9
Solve 5*u**5 + 485*u**4 - 1570*u**3 - 6940*u**2 + 6200*u + 20000 = 0 for u.
-100, -2, 2, 5
Let 2*a**2/13 - 120*a/13 - 26522/13 = 0. Calculate a.
-89, 149
Let -65017*i**2/2 - i = 0. Calculate i.
-2/65017, 0
Let -3*m**3/5 + 3138*m**2/5 - 6267*m/5 + 3132/5 = 0. Calculate m.
1, 1044
Determine z, given that -2*z**2/9 + 32258*z/3 - 32256 = 0.
3, 48384
What is t in -t**2/6 - 2048*t - 6291456 = 0?
-6144
Factor -2*v**4/9 + 9190*v**3/9 + 64526*v**2/3 + 1356418*v/9 + 3166576/