k**2 - 18894*k + 6264 = 0.
-87, 1, 36
Determine g so that g**3/4 - 13698*g**2 + 750595605*g/4 - 750486025/2 = 0.
2, 27395
Suppose 592*u**4 + 46684*u**3/7 + 12076*u**2/7 - 264*u/7 = 0. What is u?
-11, -2/7, 0, 3/148
Solve -u**2/2 + 51151*u + 102304 = 0.
-2, 102304
Determine o, given that -3*o**3 + 36*o**2 + 2775*o = 0.
-25, 0, 37
Suppose 4*r**4 + 6216*r**3 + 2475876*r**2 + 47063120*r = 0. Calculate r.
-767, -20, 0
Let u**4/8 - 7*u**3/8 - 25*u**2/2 - 71*u/2 - 30 = 0. What is u?
-4, -2, 15
Factor 4*p**2/9 - 16072*p/9 - 190528.
4*(p - 4122)*(p + 104)/9
Factor c**3/2 + 265*c**2 + 2096*c + 4176.
(c + 4)**2*(c + 522)/2
Determine j, given that -174*j**4/11 - 2258*j**3/11 + 5098*j**2/11 - 2726*j/11 + 60/11 = 0.
-15, 2/87, 1
Let -168*q**2/5 - 1009*q/5 - 6/5 = 0. Calculate q.
-6, -1/168
Factor -2*x**5/5 - 1068*x**4/5 - 143642*x**3/5 - 284088*x**2/5 - 141512*x/5.
-2*x*(x + 1)**2*(x + 266)**2/5
Find s, given that 4*s**2 - 2024*s + 148452 = 0.
89, 417
Factor 2*f**2 + 36229*f/2 + 22640.
(f + 9056)*(4*f + 5)/2
Factor 4*x**2 + 7388*x + 22128.
4*(x + 3)*(x + 1844)
Find g such that -5*g**2 - 816*g + 1485 = 0.
-165, 9/5
Determine v so that -v**5/4 - 18*v**4 - 69*v**3/4 + 71*v**2/2 = 0.
-71, -2, 0, 1
Factor 3*a**4 + 1269*a**3 - 6408*a**2 + 5136*a.
3*a*(a - 4)*(a - 1)*(a + 428)
Find s, given that 2*s**3 - 17838*s**2 - 71384*s = 0.
-4, 0, 8923
Solve -5*j**4 - 169735*j**3 - 169730*j**2 = 0 for j.
-33946, -1, 0
Factor -4*n**4/5 - 2508*n**3/5 - 386784*n**2/5 + 399424*n.
-4*n*(n - 5)*(n + 316)**2/5
Determine m so that -3*m**2 + 2256*m - 22260 = 0.
10, 742
Solve -2*w**2/7 - 2486*w/7 + 12480/7 = 0.
-1248, 5
What is b in -48*b**4 - 18648*b**3 - 2285091*b**2 - 85850412*b - 162708876 = 0?
-641/4, -66, -2
Determine j so that 4*j**5 + 2587*j**4 - 5843*j**3 - 1289*j**2 + 5839*j - 1298 = 0.
-649, -1, 1/4, 1, 2
Determine h, given that -4*h**4 + 4914184*h**3 - 1509320359924*h**2 - 3018655462416*h - 1509330188304 = 0.
-1, 614274
Find k such that -k**4/10 + 11*k**3/10 - 13*k**2/10 - 51*k/10 + 27/5 = 0.
-2, 1, 3, 9
Factor -11*k**3/6 - 8730*k**2 + 4762*k/3.
-k*(k + 4762)*(11*k - 2)/6
Factor -j**3/6 - 169*j**2/6 + 806*j/3 + 890/3.
-(j - 10)*(j + 1)*(j + 178)/6
Factor 3*u**2 + 9012*u + 6768012.
3*(u + 1502)**2
Factor 4*w**3 - 1528*w**2 + 6064*w - 6048.
4*(w - 378)*(w - 2)**2
Solve -3*z**2 - 1011*z - 40890 = 0.
-290, -47
Let p**4/2 - 85149*p**3/4 + 361831*p**2/2 - 425664*p + 170264 = 0. Calculate p.
1/2, 4, 42566
Determine s so that -121*s**2 - 294888*s - 179667216 = 0.
-13404/11
Find l such that -l**5/8 - 19*l**4/4 - l**3/2 + 579*l**2/4 - 2331*l/8 = 0.
-37, -7, 0, 3
Factor -d**2 - 2556*d - 1633284.
-(d + 1278)**2
Suppose 23*z**2 + 9983*z - 10006 = 0. Calculate z.
-10006/23, 1
Let -2*i**4 - 7126*i**3 - 6400560*i**2 - 94298744*i + 100706432 = 0. Calculate i.
-1774, -16, 1
Suppose 2*u**2 + 37944*u + 151744 = 0. What is u?
-18968, -4
Find k, given that -12*k**3/11 + 2406*k**2/11 + 43068*k/11 - 22134/11 = 0.
-17, 1/2, 217
Factor 2*p**2/3 + 1856*p - 146120/3.
2*(p - 26)*(p + 2810)/3
Determine r, given that 5*r**4 + 5880*r**3 + 1483235*r**2 - 149394900*r - 150872260 = 0.
-626, -1, 77
Suppose -3*q**3 + 17484*q**2 - 226851*q + 383790 = 0. What is q?
2, 11, 5815
Suppose -w**3/3 + 76*w**2 - 2105*w/3 - 5450 = 0. What is w?
-5, 15, 218
Determine v so that -3*v**4 - 1470*v**3 + 171576*v**2 - 4438530*v - 4611573 = 0.
-591, -1, 51
Solve -2*d**5 - 26*d**4 - 24*d**3 + 512*d**2 + 512*d = 0.
-8, -1, 0, 4
Factor -1995*h**2 - 828*h - 12.
-3*(5*h + 2)*(133*h + 2)
Factor 4*m**2 - 767752*m + 767748.
4*(m - 191937)*(m - 1)
Factor 9*i**2 + 202*i.
i*(9*i + 202)
Find b, given that -2*b**3/13 + 11630*b**2/13 + 46576*b/13 - 139656/13 = 0.
-6, 2, 5819
Factor s**2 - 290*s + 12000.
(s - 240)*(s - 50)
Factor 2*x**4 - 38462*x**3.
2*x**3*(x - 19231)
Factor -4*g**4/5 - 41052*g**3/5 - 140602716*g**2/5 - 161267378868*g/5 - 1915032610224/5.
-4*(g + 12)*(g + 3417)**3/5
What is j in -j**4 - 92*j**3 + 283*j**2 - 190*j = 0?
-95, 0, 1, 2
Suppose -2*s**4/7 + 144*s**3/7 + 3298*s**2/7 + 14760*s/7 - 2600 = 0. What is s?
-10, 1, 91
Factor 45*u**4 + 187465*u**3 - 20830*u**2.
5*u**2*(u + 4166)*(9*u - 1)
Factor p**5 + 29*p**4 + 208*p**3 + 180*p**2.
p**2*(p + 1)*(p + 10)*(p + 18)
Find b, given that -12*b**5 + 1945*b**4 + 24906*b**3 - 4033*b**2 - 24894*b + 2088 = 0.
-12, -1, 1/12, 1, 174
Factor -2*d**3 - 12176*d**2 + 514838*d - 502660.
-2*(d - 41)*(d - 1)*(d + 6130)
Factor -3*n**2/5 - 789*n/5 - 10368.
-3*(n + 128)*(n + 135)/5
Let g**4/3 - 62*g**3/3 - 13*g**2/3 + 818*g/3 - 248 = 0. What is g?
-4, 1, 3, 62
Factor 38*w**2/11 - 7038*w/11 + 20772/11.
2*(w - 3)*(19*w - 3462)/11
Let -6*a**5 + 256*a**4/3 + 14*a**3 - 5264*a**2/3 + 4600*a - 10400/3 = 0. Calculate a.
-5, 2, 20/9, 13
Factor -12*n**3/7 + 358352*n**2/7 + 119452*n/7.
-4*n*(n - 29863)*(3*n + 1)/7
Solve a**2/4 + 9939*a/2 = 0.
-19878, 0
Factor -4*f**2 + 1344*f - 20480.
-4*(f - 320)*(f - 16)
Solve 16*w**3 + 171265*w**2 + 10704*w = 0 for w.
-10704, -1/16, 0
Find k such that -10*k**3 - 4064*k**2 + 10646*k + 4908 = 0.
-409, -2/5, 3
Determine f, given that -5*f**3 - 745*f**2 + 8750*f - 8000 = 0.
-160, 1, 10
Solve 4*g**3/5 + 462*g**2/5 - 234*g/5 - 232/5 = 0 for g.
-116, -1/2, 1
Determine h so that -h**2/9 - 680836*h/9 - 115884414724/9 = 0.
-340418
Determine z so that -2*z**3 - 83303*z**2/2 + 177053*z - 41660 = 0.
-20830, 1/4, 4
Let -3*b**3/2 + 1635*b**2/2 - 1617*b - 6516 = 0. Calculate b.
-2, 4, 543
What is p in 4*p**4 - 108588*p**3 + 984774972*p**2 - 3002975371076*p + 176656735533360 = 0?
60, 9029
Suppose 3*g**2 - 72*g - 651 = 0. Calculate g.
-7, 31
Let -5*s**4 - 335590*s**3 - 7508602440*s**2 - 56016671477130*s - 279895684270275 = 0. What is s?
-22371, -5
Factor 3*i**2/8 - 60873*i/4 + 1235174043/8.
3*(i - 20291)**2/8
Factor -g**2 + 2168*g + 4340.
-(g - 2170)*(g + 2)
Let g**5/4 - 181*g**4/2 - 2581*g**3/4 - 401*g**2/2 + 5880*g + 8856 = 0. What is g?
-4, -2, 3, 369
Find y such that -4*y**3/3 - 584*y**2/3 + 1204*y - 1824 = 0.
-152, 3
Find p, given that 218791125*p**2 - 132300*p + 20 = 0.
2/6615
Factor -3*g**3 - 1437*g**2 + 169983*g - 4533543.
-3*(g - 51)**2*(g + 581)
Suppose 4*t**2 - 540368*t + 18249848464 = 0. What is t?
67546
Let -3*t**2/5 - 1113*t/5 - 2214/5 = 0. What is t?
-369, -2
Factor -2*s**2 + 1556*s + 129808.
-2*(s - 854)*(s + 76)
Suppose 5*a**2 - 14020*a - 56160 = 0. Calculate a.
-4, 2808
Let -2*m**5/7 - 488*m**4 - 13030*m**3 - 733876*m**2/7 - 1614336*m/7 - 968256/7 = 0. Calculate m.
-1681, -12, -2, -1
Factor -3*m**2/2 + 51336*m + 410784.
-3*(m - 34232)*(m + 8)/2
Suppose -14*t**5/3 - 7598*t**4/3 + 3272*t**3 + 13048*t**2/3 - 4352*t/3 = 0. Calculate t.
-544, -1, 0, 2/7, 2
Determine t so that -3*t**2 - 446838*t - 16638683187 = 0.
-74473
Let j**2/7 - 11580*j/7 = 0. Calculate j.
0, 11580
Factor 3*k**2 - 74358*k.
3*k*(k - 24786)
Factor -4*s**2/7 - 593160*s - 153929468700.
-4*(s + 519015)**2/7
Factor -2*s**2/11 - 31452*s/11 - 31450/11.
-2*(s + 1)*(s + 15725)/11
Let 4*x**4 - 108*x**3 - 660*x**2 + 5228*x - 4464 = 0. What is x?
-9, 1, 4, 31
Find z, given that -2*z**5/7 - 4174*z**4/7 - 596*z**3 = 0.
-2086, -1, 0
Factor -n**4/7 - 50*n**3/7 - 489*n**2/7 + 540*n/7.
-n*(n - 1)*(n + 15)*(n + 36)/7
Factor -2*m**3/15 + 38*m**2/5 + 1728*m/5 - 99144/5.
-2*(m - 54)**2*(m + 51)/15
Suppose -3*j**2 - 969*j + 307320 = 0. What is j?
-520, 197
Find u such that -u**4/3 + 35933*u**3/3 + 47917*u**2 - 35931*u - 215622 = 0.
-3, 2, 35937
Let -2*s**4/13 - 4062*s**3/13 + 50*s**2/13 + 101550*s/13 = 0. Calculate s.
-2031, -5, 0, 5
Let 582*n**4/7 - 41900*n**3/7 - 267426*n**2/7 - 410400*n/7 - 2808/7 = 0. Calculate n.
-3, -2/291, 78
Factor k**3 - 1598*k**2 + 643168*k - 3801696.
(k - 796)**2*(k - 6)
Factor 3*l**2/8 + 815901*l/4 + 221898147267/8.
3*(l + 271967)**2/8
Determine z, given that -2*z**2/7 - 99114*z/7 + 198284 = 0.
-49571, 14
Factor j**2 - 2081*j - 6252.
(j - 2084)*(j + 3)
Find j, given that -5*j**4/4 - 45*j**3/2 - 40*j**2 + 525*j/2 + 1125/4 = 0.
-15, -5, -1, 3
Suppose 2*q**4/9 + 3596*q**3/3 + 14569178*q**2/9 + 19382440*q/3 + 58104200/9 = 0. Calculate q.
-2695, -2
What is u in 4*u**5/5 - 136*u**4/5 + 104*u**3/5 + 976*u**2/5 - 348*u + 792/5 = 0?
-3, 1, 2, 33
What is j in 2*j**5 - 92*j**4 - 5448*j**3 - 75244*j**2 - 288314*j + 369096 = 0?
-13, 1, 84
Suppose -5*i**4 + 27175*i**3 - 190055*i**2 + 407145*i - 244260 = 0. Wha