
Factor -3*v**3/4 + 7683*v**2/2 - 19676163*v/4.
-3*v*(v - 2561)**2/4
Factor i**2/7 + 476712*i/7 + 56813582736/7.
(i + 238356)**2/7
Factor r**2/2 + 110971*r + 12314562841/2.
(r + 110971)**2/2
Factor q**4 - 8*q**3 - 468*q**2.
q**2*(q - 26)*(q + 18)
Factor y**2/7 - 320*y/7 - 969/7.
(y - 323)*(y + 3)/7
Factor -5*k**3 - 40045*k**2 + 40050*k.
-5*k*(k - 1)*(k + 8010)
Solve 2*p**4/9 + 896*p**3/9 + 24010*p**2/3 = 0.
-343, -105, 0
Factor -2*z**2 + 1636*z + 86800.
-2*(z - 868)*(z + 50)
Suppose 4*n**3/7 + 8524*n**2/7 + 458964*n - 215330724 = 0. Calculate n.
-1197, 263
Factor 2*w**3/7 - 21458*w**2/7 + 214430*w/7 - 535950/7.
2*(w - 10719)*(w - 5)**2/7
Factor -r**3 + 643*r**2 + 29542*r - 30184.
-(r - 686)*(r - 1)*(r + 44)
Find g such that 2*g**2 - 220026*g = 0.
0, 110013
Solve -4*h**3 + 12516*h**2 - 25020*h + 12508 = 0.
1, 3127
Factor -2*i**4/11 - 2336*i**3/11 + 7020*i**2/11 - 7024*i/11 + 2342/11.
-2*(i - 1)**3*(i + 1171)/11
Solve 2*j**3 - 274*j**2 + 2590*j - 6350 = 0.
5, 127
Factor -3*q**3 + 381*q**2 + 798*q - 3096.
-3*(q - 129)*(q - 2)*(q + 4)
What is q in q**4 - 2*q**3 - 19*q**2 + 32*q + 48 = 0?
-4, -1, 3, 4
Let -2*o**3/7 - 40450*o**2/7 - 80894*o/7 - 5778 = 0. What is o?
-20223, -1
Factor 4*m**3 - 219*m**2 + 1832*m + 2640.
(m - 44)*(m - 12)*(4*m + 5)
Factor 2*q**4/9 + 400*q**3/9 - 272*q**2 + 4928*q/9 - 3296/9.
2*(q - 2)**3*(q + 206)/9
Factor 2*c**2 + 3574*c + 1136844.
2*(c + 414)*(c + 1373)
Factor -1331*p**5/4 + 1230691*p**4/4 - 1005741*p**3/2 + 274185*p**2 - 49842*p.
-p*(p - 923)*(11*p - 6)**3/4
Factor -2*r**3/11 + 5618*r**2/11.
-2*r**2*(r - 2809)/11
Find n, given that 3*n**3 - 168*n**2 + 1617*n - 1452 = 0.
1, 11, 44
Factor 3*d**2 - 235665*d - 471342.
3*(d - 78557)*(d + 2)
Solve -4*z**4 - 976*z**3 - 3572*z**2 + 64600*z + 67200 = 0.
-240, -10, -1, 7
Let g**3/7 + g**2 - 3436*g/7 + 13568/7 = 0. Calculate g.
-64, 4, 53
Factor -3*d**2 - 897*d + 2718.
-3*(d - 3)*(d + 302)
Let 2*j**4/13 - 76*j**3/13 + 226*j**2/13 + 5224*j/13 - 5376/13 = 0. Calculate j.
-7, 1, 12, 32
Factor 2*p**3/3 - 830*p**2/3 - 5896*p/3 - 1688.
2*(p - 422)*(p + 1)*(p + 6)/3
Let 8*w**5/15 + 42*w**4/5 - 776*w**3/3 - 1002*w**2/5 + 992*w/15 = 0. Calculate w.
-31, -1, 0, 1/4, 16
What is x in 3*x**4 + 15*x**3 - 321*x**2 - 2007*x - 2970 = 0?
-10, -3, 11
Factor 3*g**2 - 3708*g - 7428.
3*(g - 1238)*(g + 2)
Factor 3*c**3/2 - 1599*c**2/2 + 9465*c/2 + 11067/2.
3*(c - 527)*(c - 7)*(c + 1)/2
Solve -2*s**3/7 - 1840*s**2/7 + 14824*s/7 - 22272/7 = 0.
-928, 2, 6
Factor f**2 + 6199*f - 12402.
(f - 2)*(f + 6201)
Factor -2*y**2/9 + 56*y/3.
-2*y*(y - 84)/9
Suppose -105*s**2 - 905*s - 1770 = 0. What is s?
-118/21, -3
Determine x, given that 6*x**4/5 + 570*x**3 - 169092*x**2/5 + 242880*x - 2336064/5 = 0.
-529, 4, 46
Suppose -5*z**3 + 3340*z**2 - 90580*z + 627200 = 0. What is z?
14, 640
Suppose 2*z**2/9 - 6992*z/9 + 6111008/9 = 0. What is z?
1748
Factor 6*t**2/13 - 940*t/13 + 48.
2*(t - 156)*(3*t - 2)/13
Factor 4*y**5 + 64*y**4 + 168*y**3 + 160*y**2 + 52*y.
4*y*(y + 1)**3*(y + 13)
Find s such that s**5/5 - 33*s**4/10 - 123*s**3/10 + 2893*s**2/10 - 267*s/2 - 702/5 = 0.
-9, -1/2, 1, 12, 13
Factor y**4 + 148*y**3 - 915*y**2 + 1382*y - 616.
(y - 4)*(y - 1)**2*(y + 154)
Find c such that 3*c**5 - 330*c**4 + 7128*c**3 - 49248*c**2 + 72576*c = 0.
0, 2, 12, 84
Let -4*m**5 + 448*m**4 - 1264*m**3 - 4808*m**2 + 1268*m + 4360 = 0. What is m?
-2, -1, 1, 5, 109
Let -u**5/7 + 47*u**4/7 + 54*u**3/7 - 284*u**2/7 - 200*u/7 + 384/7 = 0. What is u?
-2, 1, 2, 48
Factor 5*a**2/4 + 19215*a/4.
5*a*(a + 3843)/4
Factor -5*o**2 + 2795*o - 24750.
-5*(o - 550)*(o - 9)
Find w, given that 2*w**2/3 - 10062*w + 30184/3 = 0.
1, 15092
Let j**2/5 + 10068*j/5 + 25341156/5 = 0. Calculate j.
-5034
Find c, given that -135*c**2 - 3517620*c + 2345140 = 0.
-234514/9, 2/3
Solve 2151*b**5/5 - 70977*b**4/5 + 464418*b**3/5 - 859104*b**2/5 - 480*b = 0.
-2/717, 0, 4, 25
Factor 3*m**4 + 27*m**3 - 138*m**2 - 360*m.
3*m*(m - 5)*(m + 2)*(m + 12)
Let -n**5/4 - 19743*n**4/4 - 44409*n**3 - 148016*n**2 - 217080*n - 118404 = 0. What is n?
-19734, -3, -2
What is s in 3*s**3 - 450*s**2 + 7296*s - 22176 = 0?
4, 14, 132
Factor 3*x**4 - 177*x**3 + 3369*x**2 - 22095*x + 18900.
3*(x - 28)*(x - 15)**2*(x - 1)
Solve -9*t**4 + 2112*t**3 + 18498*t**2 - 66240*t - 24057 = 0.
-11, -1/3, 3, 243
Solve -4*m**5 - 12860*m**4 - 51304*m**3 + 231624*m**2 + 1387692*m + 1733940 = 0 for m.
-3211, -3, 5
Let -s**2 - 330*s - 5024 = 0. Calculate s.
-314, -16
Suppose -2829124*p**4 + 181003384*p**3 - 2893147972*p**2 - 61984512*p - 331776 = 0. What is p?
-9/841, 32
Factor 2*o**3 - 18*o**2 - 44*o.
2*o*(o - 11)*(o + 2)
Determine m, given that -m**5/3 - 32*m**4 + 560*m**3/3 + 50048*m**2 - 1183744*m/3 = 0.
-68, 0, 8, 32
Find c such that 3*c**2 - 92982*c + 720471027 = 0.
15497
Solve -5*b**3 + 290*b**2 + 13475*b - 786500 = 0.
-52, 55
What is b in -b**4 + 90*b**3 - 2025*b**2 = 0?
0, 45
Factor 2*c**2/9 + 472*c/3 + 1856.
2*(c + 12)*(c + 696)/9
Solve -j**4/3 - 284*j**3/9 - 8855*j**2/9 - 10362*j - 6480 = 0.
-40, -27, -2/3
Factor f**5/2 + 2449*f**4 + 4897*f**3/2.
f**3*(f + 1)*(f + 4897)/2
Factor -4*u**2/7 + 15828*u/7 - 79040/7.
-4*(u - 3952)*(u - 5)/7
Factor n**3/6 - 46033*n**2 + 6357111267*n/2.
n*(n - 138099)**2/6
Find k, given that -3*k**4 + 1101*k**3 - 62328*k**2 - 7685424*k = 0.
-57, 0, 212
Factor -n**3/2 - 31077*n**2/2 + 124340*n.
-n*(n - 8)*(n + 31085)/2
Solve -236*o**3 - 5422*o**2 - 5054*o + 132 = 0.
-22, -1, 3/118
Suppose 3*a**3/2 - 1125*a**2/2 + 51300*a + 270750 = 0. Calculate a.
-5, 190
Factor -3*i**2 - 1271802*i - 134790027267.
-3*(i + 211967)**2
Factor -3*o**2 - 2376*o + 79104.
-3*(o - 32)*(o + 824)
Factor y**2 - 118*y - 19623.
(y - 211)*(y + 93)
Let -2*q**2 - 142220*q - 2528316050 = 0. What is q?
-35555
Factor a**3/4 - 511*a**2/4 + 76479*a/4 - 3560769/4.
(a - 289)*(a - 111)**2/4
Factor 2*c**2/3 + 130214*c/3 + 260420/3.
2*(c + 2)*(c + 65105)/3
Solve -2*y**3/3 + 152*y**2/3 - 2962*y/3 + 2812/3 = 0 for y.
1, 37, 38
Factor 2270*w**4/7 - 6806*w**3/7 + 6798*w**2/7 - 2258*w/7 - 4/7.
2*(w - 1)**3*(1135*w + 2)/7
Factor -i**2 + 2793*i - 2792.
-(i - 2792)*(i - 1)
Factor -4*q**4 - 88*q**3 - 100*q**2 + 1200*q.
-4*q*(q - 3)*(q + 5)*(q + 20)
Factor s**2 + 16377*s - 196668.
(s - 12)*(s + 16389)
Find s such that -s**3 - 366*s**2 - 729*s - 364 = 0.
-364, -1
Solve -2*w**4 - 174*w**3 - 2032*w**2 - 8136*w - 10656 = 0.
-74, -6, -4, -3
Factor -k**5 + 250*k**4 + 7007*k**3 + 46644*k**2.
-k**2*(k - 276)*(k + 13)**2
Solve s**3 - 553*s**2 + 77816*s - 375380 = 0.
5, 274
Factor -f**3 + 81773*f**2.
-f**2*(f - 81773)
Determine h so that h**3 + 13653*h**2 - 4*h - 54612 = 0.
-13653, -2, 2
Determine b so that 57*b**4 - 9684*b**3 + 8613*b**2 + 1014*b = 0.
-2/19, 0, 1, 169
Factor -3*n**3 + 1350*n**2 - 8019*n + 11988.
-3*(n - 444)*(n - 3)**2
Suppose -2*f**5/11 - 74*f**4 - 46436*f**3/11 + 678396*f**2 - 153899226*f/11 - 530047206/11 = 0. What is f?
-241, -3, 39
Factor -j**3 - 1046*j**2 - 3131*j - 2086.
-(j + 1)*(j + 2)*(j + 1043)
Let -z**3/7 - 32653*z**2/7 - 266538275*z/7 + 266570929/7 = 0. Calculate z.
-16327, 1
Find w such that 3*w**3 - 511932*w**2 + 1023855*w - 511926 = 0.
1, 170642
Solve -10*d**5 - 76622*d**4 - 146857534*d**3 - 322823042*d**2 - 205379920*d - 29337800 = 0.
-3830, -1, -1/5
Find y, given that 4*y**5 - 1280*y**4 + 23064*y**3 + 277776*y**2 + 904068*y + 939600 = 0.
-3, 29, 300
Let 49284*g**3 - 184704*g**2 - 48944*g - 3136 = 0. Calculate g.
-14/111, 4
Solve 2*h**3/11 + 332*h**2/11 + 13578*h/11 = 0 for h.
-93, -73, 0
What is q in q**3 - 190003*q**2 + 9025190000*q + 9025380004 = 0?
-1, 95002
Solve 5*p**2 + 1135*p - 34290 = 0 for p.
-254, 27
Suppose -i**3/6 + 37*i**2/2 - 208*i/3 - 214 = 0. What is i?
-2, 6, 107
Determine v so that 200*v**4/3 - 4300790*v**3/3 - 215128*v**2/3 + 630776*v + 172032 = 0.
-2/5, 3/4, 21504
Factor 4*i**3 - 328*i**2 + 8740*i - 76176.
4*(i - 36)*(i - 23)**2
Determine z, given that -z**3 + 43314*z**2 + 43315*z = 0.
-1, 0, 43315
Solve 5*a**2/2 - 423975*a/2 = 0 for a.
0, 84795
Determine y, given that y**5/4 + 15*y**4/2 - 703*y**3/4 - 3020*y**2 + 699*y + 11960 = 0.
-40, -13, -2, 2, 23
Factor -5*p**5 + 195*p**4 + 840*p**3 - 9320*p**2 + 21360*p - 15120.
-5*(p - 42)*(p - 2)**3*(p + 9)
Find u such that -2*u**2 + 5690*u + 11388 = 0.
-2, 2847
Determine g so that 2*g**2 + 11396*g + 45552 = 0.
-5694, -4
Let -2*n**2 - 1