1
Find o, given that 2*o**4 + 26*o**3 + 80*o**2 + 72*o = 0.
-9, -2, 0
Factor 3*p**2/4 - 162*p + 8640.
3*(p - 120)*(p - 96)/4
Find q, given that 5*q**2 - 305*q + 4290 = 0.
22, 39
Factor -2*m**3/5 + 158*m**2/5 + 184*m/5 - 384.
-2*(m - 80)*(m - 3)*(m + 4)/5
Solve -r**3 + 686*r**2 - 132385*r + 4884528 = 0 for r.
48, 319
Factor -5*o**2/6 + 715*o - 268280/3.
-5*(o - 706)*(o - 152)/6
Determine a, given that -2373*a**2/2 - 1188*a - 3/2 = 0.
-1, -1/791
Factor -c**3/3 + 208*c**2/3 + 869*c/3 - 1484.
-(c - 212)*(c - 3)*(c + 7)/3
Suppose -3*f**3 + 351*f**2 + 711*f + 357 = 0. Calculate f.
-1, 119
Factor d**5 - 381*d**4 + 10289*d**3 - 28591*d**2 + 27834*d - 9152.
(d - 352)*(d - 26)*(d - 1)**3
Solve -2*g**2/3 + 3412*g/3 + 4560 = 0.
-4, 1710
Find x, given that 21*x**4 + 2097*x**3 + 7827*x**2 + 4887*x - 864 = 0.
-96, -3, -1, 1/7
Factor 4*s**2 - 5726*s - 2864.
2*(s - 1432)*(2*s + 1)
Let 4*i**3 + 15392*i**2 + 30772*i + 15384 = 0. Calculate i.
-3846, -1
Solve -2*o**5 + 2658*o**4 - 49554*o**3 - 295730*o**2 - 432156*o - 188640 = 0 for o.
-3, -1, 24, 1310
Factor 3*u**2 + 42642*u + 42639.
3*(u + 1)*(u + 14213)
Determine b, given that 2*b**3/11 + 222*b**2/11 + 1216*b/11 - 24960/11 = 0.
-104, -15, 8
Suppose 5*s**4/4 - 355*s**3/4 + 5935*s**2/4 + 12955*s/4 + 1665 = 0. What is s?
-1, 36, 37
Suppose -2*y**4/5 + 28*y**3/5 - 78*y**2/5 - 108*y/5 = 0. What is y?
-1, 0, 6, 9
Solve 4*s**3/5 - 48*s**2/5 - 1264*s/5 + 16128/5 = 0.
-18, 14, 16
Factor -2*i**3 - 104*i**2 + 3176*i - 5920.
-2*(i - 20)*(i - 2)*(i + 74)
Solve 3*l**2 + 510*l - 2625 = 0 for l.
-175, 5
Suppose -y**4/4 - 20839*y**3/4 = 0. Calculate y.
-20839, 0
Factor -2*u**2/7 + 740*u - 768512/7.
-2*(u - 2432)*(u - 158)/7
Let -33*r**2/7 + 867*r/7 + 648/7 = 0. Calculate r.
-8/11, 27
Let -z**4 + 200*z**3 - 1471*z**2 - 12480*z = 0. Calculate z.
-5, 0, 13, 192
Factor -146264836*v**2 - 1644784*v - 4624.
-4*(6047*v + 34)**2
Suppose -1445*t**3 - 9830*t**2 - 15345*t + 3420 = 0. What is t?
-4, -3, 57/289
Factor -l**4 - 4481*l**3 + 8966*l**2.
-l**2*(l - 2)*(l + 4483)
Factor -r**3/3 - 134*r**2/3 - 1297*r + 9462.
-(r - 6)*(r + 57)*(r + 83)/3
Solve 49*u**4/8 - 763*u**3/4 + 23*u**2 + 507*u/4 + 279/8 = 0.
-3/7, 1, 31
Solve -f**2 - 26249*f - 52494 = 0.
-26247, -2
Find n such that -n**3 + 11071*n**2 + 22145*n + 11073 = 0.
-1, 11073
Factor -k**3 - 209*k**2 - 10590*k + 10800.
-(k - 1)*(k + 90)*(k + 120)
Find q such that 4*q**4 + 132*q**3 - 45528*q**2 - 46400*q + 273792 = 0.
-124, -3, 2, 92
Suppose -2*n**5/15 - 46*n**4/5 + 62*n**3/3 + 606*n**2/5 - 2036*n/15 - 1136/5 = 0. Calculate n.
-71, -3, -1, 2, 4
Find x, given that 5*x**4 - 220*x**3 - 9820*x**2 - 18720*x = 0.
-26, -2, 0, 72
Factor 4*b**2/3 - 24032*b/3.
4*b*(b - 6008)/3
Factor -35*c**2/3 + 892*c/3 + 1376.
-(c + 4)*(35*c - 1032)/3
Factor -2*z**4 - 9300*z**3 - 10811250*z**2.
-2*z**2*(z + 2325)**2
Determine d, given that -5*d**5 + 25*d**4 + 195*d**3 - 65*d**2 - 590*d - 360 = 0.
-4, -1, 2, 9
Suppose -y**2/8 + 89*y/4 - 7921/8 = 0. What is y?
89
Factor z**2/5 - 376972*z/5 + 35526972196/5.
(z - 188486)**2/5
Factor 2*m**2/11 - 114828*m/11 - 114830/11.
2*(m - 57415)*(m + 1)/11
Determine g so that -g**4 - 17*g**3 - 106*g**2 - 288*g - 288 = 0.
-6, -4, -3
Suppose q**3/5 - 6287*q**2/5 + 45072*q - 2025324/5 = 0. Calculate q.
18, 6251
Find x such that -x**3 + 91*x**2 - 2583*x + 23085 = 0.
19, 27, 45
Find i such that -i**2/4 + 74105*i/2 - 5491551025/4 = 0.
74105
Factor -2*j**3/3 + 112*j**2/3 - 174*j + 204.
-2*(j - 51)*(j - 3)*(j - 2)/3
Determine y, given that -2*y**3/3 + 8320*y**2/3 + 25014*y = 0.
-9, 0, 4169
Let 3*a**5 - 1818*a**4 - 10989*a**3 - 16512*a**2 - 7344*a = 0. Calculate a.
-4, -1, 0, 612
Solve 5*j**4 + 1330*j**3 + 2600*j**2 - 10560*j = 0 for j.
-264, -4, 0, 2
Determine g so that -14*g**4/3 - 204*g**3 + 806*g**2/3 - 60*g = 0.
-45, 0, 2/7, 1
Factor -o**3/2 - 81211*o**2/2 - 824464220*o - 2473027224.
-(o + 3)*(o + 40604)**2/2
What is n in -n**4/4 - 565885*n**3/4 - 26685533259*n**2 - 1677897379454076*n - 1677870694062288 = 0?
-188628, -1
Let -14*h**5 - 4272*h**4 - 336706*h**3 - 1651848*h**2 - 2399400*h - 1080000 = 0. What is h?
-150, -3, -8/7, -1
Factor -255*x**3/2 - 132*x**2 - 9*x/2.
-3*x*(x + 1)*(85*x + 3)/2
What is b in -b**5/8 + 265*b**4/4 - 69573*b**3/8 - 25529*b**2 + 2026787*b/2 + 5200566 = 0?
-7, 12, 266
Suppose 2*n**2/5 - 1244*n/5 - 58608/5 = 0. What is n?
-44, 666
Factor 3*x**2 + 422358*x + 14865523347.
3*(x + 70393)**2
Factor -5*w**2 - 47900*w - 114720500.
-5*(w + 4790)**2
Factor -b**3 - 4094*b**2 + 28695*b - 49212.
-(b - 4)*(b - 3)*(b + 4101)
Factor 2*w**3/17 - 908*w**2/17 - 910*w/17.
2*w*(w - 455)*(w + 1)/17
Factor -2*q**3 - 78*q**2 + 368*q + 1032.
-2*(q - 6)*(q + 2)*(q + 43)
Determine p, given that -2*p**3/11 - 58*p**2/11 + 2308*p/11 - 4368/11 = 0.
-52, 2, 21
Factor o**4/3 - 9783*o**3 - 29351*o**2 - 88055*o/3 - 9784.
(o - 29352)*(o + 1)**3/3
Factor -2*j**2/13 + 260024*j/13 - 8451560072/13.
-2*(j - 65006)**2/13
Solve -m**4/3 + 99*m**3 + 928*m**2 - 9092*m/3 - 8976 = 0 for m.
-11, -2, 4, 306
Solve 12*d**4 + 12189*d**3/7 - 23643*d**2/7 - 39717*d/7 - 567 = 0.
-147, -1, -3/28, 3
Let -7*w**2/6 - 458729*w/6 + 65533/3 = 0. What is w?
-65533, 2/7
Factor y**4 + 1245*y**3 + 386883*y**2 - 388129*y.
y*(y - 1)*(y + 623)**2
Suppose 2*x**4 + 32507*x**3/2 + 121857*x**2/2 + 48736*x - 16246 = 0. Calculate x.
-8123, -2, 1/4
Factor 2*u**2/5 - 9808*u/5 + 12024608/5.
2*(u - 2452)**2/5
Find g, given that -3*g**4 + 777*g**3 + 4011*g**2 - 13401*g - 16632 = 0.
-7, -1, 3, 264
Let -4*n**3 - 36*n**2 + 84*n - 44 = 0. Calculate n.
-11, 1
Determine o so that 99*o**4/8 + 10191*o**3 - 25433*o**2 - 27676*o - 4130 = 0.
-826, -2/3, -2/11, 10/3
Let -x**4/3 + 150*x**3 - 449*x**2/3 = 0. Calculate x.
0, 1, 449
Solve -3*d**3 - 303*d**2 + 59700*d + 60000 = 0.
-200, -1, 100
Factor -4*g**3 - 308*g**2 - 1296*g + 10368.
-4*(g - 4)*(g + 9)*(g + 72)
Suppose -4*w**5 + 44*w**4 + 72*w**3 - 1944*w**2 + 6588*w - 6804 = 0. What is w?
-7, 3, 9
Determine l so that -578*l**4/7 - 266016*l**3/7 + 740274*l**2/7 + 185224*l/7 + 11112/7 = 0.
-463, -2/17, 3
Let -t**2/5 + 58844*t/5 = 0. What is t?
0, 58844
Suppose 3*w**4 + 327*w**3 - 10296*w**2 - 97296*w - 204288 = 0. Calculate w.
-133, -4, 32
Suppose 5*t**5 - 5450*t**4 - 172105*t**3 - 1843150*t**2 - 7281500*t - 5605000 = 0. Calculate t.
-10, -1, 1121
Suppose -2*k**5/5 + 36*k**4 - 1586*k**3/5 - 1248*k**2/5 + 2024*k + 1920 = 0. What is k?
-2, -1, 3, 10, 80
Factor 5*a**3 + 1291330*a**2 + 83377949760*a + 166750734240.
5*(a + 2)*(a + 129132)**2
Factor -a**4 + 596994*a**3 - 89100459009*a**2.
-a**2*(a - 298497)**2
Find g such that 2*g**4/21 + 164128*g**3/21 - 2*g**2/21 - 164128*g/21 = 0.
-82064, -1, 0, 1
Factor -4*o**3 - 3116*o**2 - 180432*o.
-4*o*(o + 63)*(o + 716)
Factor -4*t**2 - 468*t - 6800.
-4*(t + 17)*(t + 100)
Solve -4*y**2/3 - 2298616*y/3 - 330227219716/3 = 0 for y.
-287327
Factor f**3 + 66*f**2 + 795*f - 1862.
(f - 2)*(f + 19)*(f + 49)
Solve -n**3/8 + 9*n**2/2 - 45*n/2 = 0 for n.
0, 6, 30
Factor -5*f**3 - 1670*f**2 - 87095*f + 88770.
-5*(f - 1)*(f + 66)*(f + 269)
Suppose 2*n**5 + 2430*n**4 - 2*n**3 - 2430*n**2 = 0. Calculate n.
-1215, -1, 0, 1
Determine r, given that -2*r**3/7 + 14892*r**2/7 - 10626*r - 29764 = 0.
-2, 7, 7441
Factor -5*v**2 - 53900*v - 107780.
-5*(v + 2)*(v + 10778)
Factor f**3 - 1379*f**2 + 173672*f - 5747632.
(f - 1243)*(f - 68)**2
Factor 4*u**3 + 860*u**2 + 6624*u.
4*u*(u + 8)*(u + 207)
Solve -4*f**3 + 880*f**2 - 43776*f = 0 for f.
0, 76, 144
Solve 2*v**2/3 + 330*v - 11616 = 0.
-528, 33
Find b, given that -b**5/8 + 19*b**4/8 + 1529*b**3/8 + 18789*b**2/8 + 10305*b/2 - 42525/2 = 0.
-15, -7, 2, 54
Suppose -4*o**2 + 591592*o + 591596 = 0. Calculate o.
-1, 147899
Factor 2*l**2/5 + 2458*l/5 - 7392/5.
2*(l - 3)*(l + 1232)/5
Find v, given that -330*v**5/13 + 566*v**4/13 - 70*v**3/13 - 246*v**2/13 + 88*v/13 - 8/13 = 0.
-2/3, 2/11, 1/5, 1
Factor -4*h**3 + 576*h**2 + 1168*h.
-4*h*(h - 146)*(h + 2)
Solve 5*a**4 - 14405*a**3 + 10310075*a**2 + 93961125*a = 0.
-9, 0, 1445
Suppose 2*n**2/3 + 45994*n + 275956/3 = 0. Calculate n.
-68989, -2
Factor 3*v**3/2 - 14529*v**2/2 + 29040*v - 29034.
3*(v - 4839)*(v - 2)**2/2
Let -4*v**3/5 + 67336*v**2/5 + 134732*v + 336880 = 0. Calculate v.
-5, 16844
Solve 15*j**5 + 897*j**4 - 26370*j**3 - 49782*j**2 - 16941*j + 5589 = 0 for j.
-81, -1, 1/5, 23
Suppose -