 - 1)
Factor 7*w**5 - 709*w**4 + 23386*w**3 - 320224*w**2 + 1609216*w - 434176.
(w - 53)*(w - 16)**3*(7*w - 2)
What is w in -w**3/4 - 21*w**2 + 2061*w/4 - 494 = 0?
-104, 1, 19
What is z in z**2/3 - 251*z/3 + 8944/3 = 0?
43, 208
Suppose -21*n**2 - 98715*n + 28206 = 0. What is n?
-4701, 2/7
Find p, given that -3*p**4 + 894*p**3 - 5283*p**2 + 7896*p - 3504 = 0.
1, 4, 292
Factor 3*a**2/7 - 69372*a/7 - 138756/7.
3*(a - 23126)*(a + 2)/7
Find o such that o**2 - 5143*o - 15438 = 0.
-3, 5146
Solve 2*g**3/9 - 938*g**2/3 - 2512*g - 45280/9 = 0 for g.
-4, 1415
Factor -2*s**3/7 + 74*s**2/7 + 7976*s/7 + 15640/7.
-2*(s - 85)*(s + 2)*(s + 46)/7
Solve -3*z**5/2 - 114*z**4 - 2190*z**3 - 6240*z**2 + 105984*z + 221184 = 0 for z.
-48, -16, -2, 6
Find p such that 3*p**2 - 6603*p - 26460 = 0.
-4, 2205
Find n such that -n**3/4 + 419*n**2/4 + 9641*n/2 + 9220 = 0.
-40, -2, 461
Let w**3 + 377*w**2 + 44736*w + 1704960 = 0. What is w?
-185, -96
Factor -l**3 - 273378*l**2 - 18683882721*l.
-l*(l + 136689)**2
Suppose -3*j**5/4 + 501*j**4/2 + 19263*j**3/2 + 130566*j**2 + 3059133*j/4 + 3290595/2 = 0. What is j?
-11, -7, 370
Find c such that c**4/10 + 729*c**3/5 + 4348*c**2/5 - 11616*c/5 = 0.
-1452, -8, 0, 2
What is p in -3*p**2 + 42*p - 39 = 0?
1, 13
Suppose -3036*r**3 - 12172*r**2 - 9220*r - 84 = 0. What is r?
-3, -1, -7/759
Factor -32*r**3 - 94128*r**2 - 47058*r - 5882.
-2*(r + 2941)*(4*r + 1)**2
Let -3*y**4/2 + 300*y**3 - 7719*y**2/2 - 8625*y - 4464 = 0. Calculate y.
-1, 16, 186
Factor -x**3/7 - 7736*x**2/7 - 1105*x.
-x*(x + 1)*(x + 7735)/7
Factor -3*t**4 + 174*t**3 + 177*t**2.
-3*t**2*(t - 59)*(t + 1)
Suppose -5*j**3/3 + 1630*j**2/3 - 1625*j/3 = 0. Calculate j.
0, 1, 325
Factor 26*j**2 + 15125*j - 4074.
(j + 582)*(26*j - 7)
What is x in 4*x**3 - 6960*x**2 + 144396*x = 0?
0, 21, 1719
Solve -3*u**4 + 8358*u**3 - 25047*u**2 = 0 for u.
0, 3, 2783
Factor 2*v**3 + 806*v**2 - 8218*v + 17346.
2*(v - 7)*(v - 3)*(v + 413)
Find x such that -2*x**2/3 + 9738*x + 351432 = 0.
-36, 14643
Determine t so that -2*t**5/3 - 14*t**4 + 1016*t**3/3 - 5864*t**2/3 + 4256*t - 9472/3 = 0.
-37, 2, 4, 8
Determine q so that 54*q**5/5 - 1467*q**4/5 + 13863*q**3/5 - 52151*q**2/5 + 64931*q/5 - 5046 = 0.
5/6, 1, 6, 29/3
Factor -3*d**3/7 + 1032*d**2/7 - 2052*d/7.
-3*d*(d - 342)*(d - 2)/7
Let 4*v**3/9 - 346316*v**2/9 - 4*v/9 + 346316/9 = 0. What is v?
-1, 1, 86579
Solve 3*t**3/8 + 1401*t**2/8 + 696*t + 1389/2 = 0 for t.
-463, -2
Solve -589824*c**5 + 1178112*c**4 + 592895*c**3 - 1178110*c**2 - 3071*c - 2 = 0.
-1, -1/768, 1, 2
Factor -w**2/3 - 11656*w - 101896752.
-(w + 17484)**2/3
Solve -a**2/4 - 4252*a - 18079504 = 0 for a.
-8504
Let -7*x**3/10 + 22741*x**2/10 + 3249*x/5 = 0. What is x?
-2/7, 0, 3249
Find h, given that 2*h**3/11 + 239424*h**2/11 + 1915296*h/11 + 3830528/11 = 0.
-119704, -4
Factor -4*u**2 - 51832*u - 167909764.
-4*(u + 6479)**2
Factor 5*q**3 + 95*q**2 - 3245*q + 3145.
5*(q - 17)*(q - 1)*(q + 37)
Factor 2*z**4 - 52*z**3 + 138*z**2 + 2752*z + 2560.
2*(z - 16)**2*(z + 1)*(z + 5)
Factor -h**3 - h**2 + 202*h + 1120.
-(h - 16)*(h + 7)*(h + 10)
Solve -2*b**3 + 8684*b**2 - 9861826*b + 933953488 = 0.
104, 2119
Factor -h**2/6 + 451*h/2.
-h*(h - 1353)/6
Find w such that 15*w**5 + 8800*w**4 + 1183940*w**3 - 31299750*w**2 + 191700125*w - 60466250 = 0.
-305, 1/3, 10, 13
Factor 3*f**5/2 - 996*f**4 + 221766*f**3 - 16847160*f**2 + 64759200*f - 63888000.
3*(f - 220)**3*(f - 2)**2/2
Let k**5 - 297*k**4 + 1145*k**3 + 7873*k**2 + 11118*k + 4688 = 0. What is k?
-2, -1, 8, 293
Factor -3*d**2/7 - 90852*d/7 - 687840492/7.
-3*(d + 15142)**2/7
What is a in a**2/8 - 2397*a/8 + 2393/2 = 0?
4, 2393
Suppose 4*t**4 + 2652*t**3 + 583228*t**2 + 42778596*t + 42198016 = 0. Calculate t.
-256, -203, -1
Find q, given that -4*q**5 + 2272*q**4 - 310948*q**3 - 3349928*q**2 + 1243856*q + 13363360 = 0.
-10, -2, 2, 289
Solve -5*p**3 + 2635*p**2 - 368475*p + 5527125 = 0.
17, 255
Find y, given that -2*y**5/7 + 226*y**4/7 - 2722*y**3/7 - 5266*y**2/7 + 31524*y/7 - 23760/7 = 0.
-4, 1, 2, 15, 99
Factor -z**2/3 - 2341*z/3 - 101068/3.
-(z + 44)*(z + 2297)/3
Suppose -2*s**2/7 + 72028*s/7 - 288080/7 = 0. Calculate s.
4, 36010
Determine j, given that -2*j**4/9 + 56*j**3/9 + 428*j**2/3 - 9128*j/9 + 7790/9 = 0.
-19, 1, 5, 41
Let r**4/3 + 2372*r**3 + 14227*r**2/3 - 2372*r - 14228/3 = 0. What is r?
-7114, -2, -1, 1
Find y, given that -y**5/4 + 9*y**4/4 - 17*y**3/4 - 25*y**2/4 + 21*y/2 + 10 = 0.
-1, 2, 4, 5
Suppose 2*f**5 + 2180*f**4 + 8694*f**3 + 6508*f**2 - 8696*f - 8688 = 0. What is f?
-1086, -2, -1, 1
Let c**5/2 - 177*c**4/2 - 1483*c**3/2 + 493*c**2/2 + 5763*c - 5180 = 0. What is c?
-7, -4, 1, 2, 185
Solve f**5/2 + 191*f**4/2 + 5049*f**3 - 13608*f**2 - 5085504*f - 10077696 = 0 for f.
-72, -2, 27
Determine r, given that 2*r**3/13 - 55424*r**2/13 + 29528200*r + 118181024 = 0.
-4, 13858
Factor -w**2 - 3161*w.
-w*(w + 3161)
Let -2*a**2 - 98*a + 660 = 0. Calculate a.
-55, 6
Suppose -2*i**2/7 - 879912*i/7 - 96780640968/7 = 0. What is i?
-219978
What is d in 5*d**3 + 3175*d**2 + 9130*d - 221200 = 0?
-632, -10, 7
What is u in 9165*u**2 - 36666*u + 24 = 0?
2/3055, 4
Solve 2*i**2/3 - 2930*i/3 - 2932/3 = 0 for i.
-1, 1466
Solve 4*u**5/7 + 104*u**4/7 + 96*u**3 - 128*u**2/7 - 11776*u/7 - 24576/7 = 0.
-16, -6, -4, 4
Let -2*n**3/9 - 35596*n**2/3 - 23730*n - 106784/9 = 0. Calculate n.
-53392, -1
Factor 21*i**5 - 2124*i**4 + 303*i**3.
3*i**3*(i - 101)*(7*i - 1)
Find s such that -2*s**3/11 + 8240*s**2/11 + 24746*s/11 - 32984/11 = 0.
-4, 1, 4123
Suppose -5*q**2/3 + 9944920*q/3 - 4945071690320/3 = 0. What is q?
994492
Factor -i**3/8 - 21*i**2/8 - 27*i/4.
-i*(i + 3)*(i + 18)/8
Determine y, given that 10*y**4/9 + 32*y**3 - 22*y**2/3 - 232*y/9 = 0.
-29, -4/5, 0, 1
Determine a so that 4*a**2 + 49824*a + 298800 = 0.
-12450, -6
Find u, given that 4*u**2 + 484*u + 3616 = 0.
-113, -8
Let 5*o**4 - 1255*o**3 + 52015*o**2 + 3630055*o - 3680820 = 0. Calculate o.
-36, 1, 143
Suppose -30*b**3/7 + 3802*b**2 + 320092*b/7 - 43152/7 = 0. What is b?
-12, 2/15, 899
Factor -5*c**4 + 11085*c**3 - 8077965*c**2 + 1848498295*c + 63028462350.
-5*(c - 749)**3*(c + 30)
Factor -2*u**2 + 119340*u - 1780254450.
-2*(u - 29835)**2
Factor 4*g**2 + 28824*g + 51926436.
4*(g + 3603)**2
Factor 3*b**4 - 21*b**3 - 198*b**2 - 444*b - 312.
3*(b - 13)*(b + 2)**3
Solve 4*b**5 + 272*b**4 + 3456*b**3 - 824*b**2 - 10948*b - 6936 = 0.
-51, -17, -1, 2
Determine u so that 3*u**2/7 - 811*u/7 = 0.
0, 811/3
Factor 3*b**4 - 14019*b**3 + 42036*b**2 - 28020*b.
3*b*(b - 4670)*(b - 2)*(b - 1)
Factor t**3 + 6136*t**2 + 18359*t - 245320.
(t - 5)*(t + 8)*(t + 6133)
Solve o**4/7 - 25*o**3/7 - 186*o**2/7 + 5440*o/7 + 800 = 0 for o.
-14, -1, 20
Determine f, given that -f**2 - 6623*f - 6622 = 0.
-6622, -1
Solve c**5 + 1797*c**4 + 1076399*c**3 + 214914611*c**2 - 4305612*c - 859687196 = 0.
-599, -2, 2
Determine r so that -5*r**2 - 42585*r - 85150 = 0.
-8515, -2
Factor 702*u**2/5 + 9829*u/5 + 14/5.
(u + 14)*(702*u + 1)/5
Solve 4*g**4 - 40*g**3 - 2436*g**2 + 29320*g + 68000 = 0 for g.
-25, -2, 17, 20
What is g in -4*g**5/5 - 42*g**4/5 - 10*g**3 + 42*g**2/5 + 54*g/5 = 0?
-9, -3/2, -1, 0, 1
Determine q so that 17*q**5/2 + 613*q**4/3 + 1232*q**3 + 48*q**2 = 0.
-12, -2/51, 0
Determine j so that -3*j**2 + 67785*j + 67788 = 0.
-1, 22596
Factor n**3/7 - 10235*n**2/7 - 51200*n/7.
n*(n - 10240)*(n + 5)/7
Factor 25*l**3 + 1855*l**2 + 3990*l + 2160.
5*(l + 1)*(l + 72)*(5*l + 6)
Factor -3*u**3/7 - 282*u**2/7 - 3399*u/7 - 3120/7.
-3*(u + 1)*(u + 13)*(u + 80)/7
What is a in 1332*a**5 - 39104*a**4 + 266924*a**3 - 91600*a**2 + 7600*a = 0?
0, 5/37, 2/9, 10, 19
Solve g**3 - 7956*g**2 + 15909*g - 7954 = 0 for g.
1, 7954
Let 5*y**4/2 - 635*y**3/2 + 8695*y**2 - 6960*y - 1281600 = 0. Calculate y.
-10, 24, 89
Solve -3*a**2 + 3576*a + 54315 = 0.
-15, 1207
What is x in -x**2/2 - 1477*x/2 - 34986 = 0?
-1428, -49
Find x, given that x**4/5 + 36*x**3/5 + 413*x**2/5 + 294*x = 0.
-15, -14, -7, 0
Factor -72*c**2/5 + 22*c.
-2*c*(36*c - 55)/5
Factor 2*r**2/17 + 3386*r/17 - 96376/17.
2*(r - 28)*(r + 1721)/17
Factor -2*p**2/3 + 17614*p + 52848.
-2*(p - 26424)*(p + 3)/3
Factor x**3/3 - 867*x**2 + 35973*x - 376173.
(x - 2559)*(x - 21)**2/3
Factor -4*b**2 + 6788*b - 6784.
-4*(b - 1696)*(b - 1)
Factor -2*o**2/3 + 52*o/3 - 46.
-2*(o - 23)*(o - 3)/3
Suppose -r**3/8 - 67*r*