2*c**2 - 2764*c - 43712.
-2*(c + 16)*(c + 1366)
Solve -k**2/12 - 353*k/12 + 16109/2 = 0.
-534, 181
Factor -t**2/6 - 6746*t/3 - 22754258/3.
-(t + 6746)**2/6
What is n in 5*n**3 + 197430*n**2 + 1949325045*n + 7794141620 = 0?
-19741, -4
Factor -73*m**3/4 + 527*m**2/4 - 178*m - 228.
-(m - 4)**2*(73*m + 57)/4
Let -1564753682*m**2/11 - 1006956*m/11 - 162/11 = 0. Calculate m.
-9/27971
Factor -q**2/3 + 43726*q/3 - 43723.
-(q - 43723)*(q - 3)/3
Determine s so that -s**3/7 - 921*s**2/7 + 5569*s/7 + 927 = 0.
-927, -1, 7
Factor -4652*o**2/7 - 4642*o/7 + 10/7.
-2*(o + 1)*(2326*o - 5)/7
Find l such that -l**2/5 - 1249*l/5 - 7458/5 = 0.
-1243, -6
Suppose 2651*u**2/8 + 987*u/8 + 9 = 0. Calculate u.
-3/11, -24/241
Let -z**2 - 8951*z - 8950 = 0. Calculate z.
-8950, -1
Find k such that -k**5/6 + 685*k**4/6 - 116263*k**3/6 - 361205*k**2/6 + 534232*k/3 - 295840/3 = 0.
-5, 1, 344
Factor 3*u**4 - 222*u**3 - 1203*u**2 + 1422*u.
3*u*(u - 79)*(u - 1)*(u + 6)
Factor -2*r**4/3 + 45640*r**3/3 - 115732896*r**2 + 880727216864*r/3 - 1760066004064/3.
-2*(r - 7606)**3*(r - 2)/3
Factor 2*i**2 - 1672*i + 4998.
2*(i - 833)*(i - 3)
Find a, given that 2*a**3/15 + 1442*a**2/5 - 8742*a + 65790 = 0.
-2193, 15
Factor -3*o**2/5 + 1701768*o/5.
-3*o*(o - 567256)/5
Factor -2*j**2/7 - 166*j/7 + 94680/7.
-2*(j - 180)*(j + 263)/7
Determine f, given that 80*f**4 + 8560*f**3 - 249705*f**2 + 238340*f + 75325 = 0.
-131, -1/4, 5/4, 23
Suppose -r**2/3 + 298*r/3 - 679 = 0. What is r?
7, 291
Suppose 18*b**4/5 - 4498*b**3 - 12544*b**2/5 + 55016*b/5 - 4000 = 0. Calculate b.
-2, 4/9, 1, 1250
Factor 45*v**2 + 680*v - 12740.
5*(v + 26)*(9*v - 98)
Let -3*d**3/4 + 45*d**2/4 + 4041*d + 15936 = 0. What is d?
-64, -4, 83
Factor -4084*t**2 - 4096*t - 12.
-4*(t + 1)*(1021*t + 3)
What is s in -s**2/2 + 29363*s/2 + 14682 = 0?
-1, 29364
Find m such that 6*m**5/5 + 126*m**4/5 - 744*m**3/5 + 936*m**2/5 = 0.
-26, 0, 2, 3
Find d, given that 5*d**4 - 1765*d**3 + 1720*d**2 + 14140*d - 21120 = 0.
-3, 2, 352
Factor w**3 - 7924*w**2 - 15851*w - 7926.
(w - 7926)*(w + 1)**2
Solve -2*n**5/7 + 17172*n**4/7 + 2454*n**3 - 34348*n**2/7 = 0.
-2, 0, 1, 8587
Factor -s**2 + 60*s - 171.
-(s - 57)*(s - 3)
Solve -2*i**4 + 6528*i**3 + 13062*i**2 + 6532*i = 0.
-1, 0, 3266
Factor -4*q**3 - 4860*q**2 - 1387500*q + 54687500.
-4*(q - 35)*(q + 625)**2
Factor -5*x**3 + 1400*x**2 - 103360*x + 739840.
-5*(x - 136)**2*(x - 8)
What is p in 5*p**2 - 24895*p + 74640 = 0?
3, 4976
Factor -v**2 + 3424*v - 81600.
-(v - 3400)*(v - 24)
Find v, given that 2*v**2 + 26842*v - 53692 = 0.
-13423, 2
What is n in 9*n**5 - 1080*n**4 + 1074*n**3 - 1072*n**2/3 + 119*n/3 = 0?
0, 1/3, 119
Suppose d**2/6 + 385*d/2 - 578/3 = 0. Calculate d.
-1156, 1
Find q, given that q**5/4 + 20*q**4 - 41*q**3/2 - 1640*q**2 + 81*q/4 + 1620 = 0.
-80, -9, -1, 1, 9
Determine r, given that 4*r**3/7 - 8842*r**2/7 - 4422*r/7 = 0.
-1/2, 0, 2211
Determine p so that 29*p**4 - 258*p**3 + 727*p**2 - 618*p - 72 = 0.
-3/29, 2, 3, 4
Suppose -4*d**2 - 2156*d + 70680 = 0. What is d?
-570, 31
Determine p so that -2*p**4/7 - 222*p**3/7 - 3328*p**2/7 + 16248*p/7 + 72864/7 = 0.
-92, -22, -3, 6
Factor a**4 + 126*a**3 + 5468*a**2 + 91170*a + 411075.
(a + 7)*(a + 29)*(a + 45)**2
Factor v**4 - 680060*v**3 + 115619720838*v**2 + 231241481860*v + 115621080961.
(v - 340031)**2*(v + 1)**2
Suppose 5*a**3 - 5810*a**2 + 23180*a - 23160 = 0. What is a?
2, 1158
Solve -6*v**5/7 - 8*v**4 + 230*v**3/7 + 1200*v**2/7 - 1544*v/7 - 352 = 0.
-11, -4, -1, 2, 14/3
Factor -3*b**2 - 1001*b - 1660.
-(b + 332)*(3*b + 5)
Let 4*q**2/3 + 51218*q/3 - 25610/3 = 0. Calculate q.
-12805, 1/2
Factor 3*r**5/7 - 21522*r**4/7 + 38642727*r**3/7 - 154312740*r**2/7 + 154226700*r/7.
3*r*(r - 3585)**2*(r - 2)**2/7
Determine g so that 3*g**2 - 51840*g + 155493 = 0.
3, 17277
Suppose k**2/7 + 227*k - 4776/7 = 0. Calculate k.
-1592, 3
Factor 2*m**3/3 + 23738*m**2/3 + 70472174*m/3 + 70400978.
2*(m + 3)*(m + 5933)**2/3
Solve -2*v**3 + 106*v**2 - 1606*v + 7502 = 0 for v.
11, 31
Factor -45*i**2 + 309*i - 420.
-3*(i - 5)*(15*i - 28)
Factor s**3/3 - 391*s**2/3 + 7102*s/3 - 4216.
(s - 372)*(s - 17)*(s - 2)/3
Factor 3*q**2/7 + 369*q/7 + 2760/7.
3*(q + 8)*(q + 115)/7
Suppose 3*y**3 + 12039*y**2 + 12096165*y + 36180225 = 0. What is y?
-2005, -3
Solve z**3/2 + 273*z**2/2 + 670*z = 0.
-268, -5, 0
Let -2*t**5 - 24*t**4 + 382*t**3 + 1284*t**2 + 880*t = 0. What is t?
-20, -2, -1, 0, 11
Factor -h**4 - 348*h**3 + 3234*h**2 + 7508*h + 3927.
-(h - 11)*(h + 1)**2*(h + 357)
Factor -3*v**4 + 2439*v**3 + 4890*v**2.
-3*v**2*(v - 815)*(v + 2)
Factor -2*u**3 - 858*u**2 - 47430*u - 705374.
-2*(u + 31)**2*(u + 367)
Factor 2*s**2/11 + 2820*s/11 + 39088/11.
2*(s + 14)*(s + 1396)/11
Solve -j**5/2 + 23*j**4 - 651*j**3/2 + 1423*j**2 - 2320*j + 1200 = 0.
1, 2, 3, 20
Solve 3*m**4 + 1482*m**3 + 10227*m**2 = 0 for m.
-487, -7, 0
Determine h so that -2*h**2/9 + 375668*h/9 - 17640805778/9 = 0.
93917
Factor -2*g**2 + 416676*g - 416674.
-2*(g - 208337)*(g - 1)
Determine b, given that 4*b**2 - 855732*b = 0.
0, 213933
Suppose -20*u**3/7 + 5532*u**2/7 + 44888*u + 124800/7 = 0. Calculate u.
-48, -2/5, 325
Factor -18*z**3 + 3846*z**2 - 249854*z + 4450282.
-2*(z - 29)*(3*z - 277)**2
Factor -v**5 - 488*v**4 + 4980*v**3.
-v**3*(v - 10)*(v + 498)
Suppose 70*o**5/3 - 618*o**4 + 832*o**3/3 + 456*o**2 - 416*o/3 = 0. What is o?
-4/5, 0, 2/7, 1, 26
Find o, given that 4*o**4 - 968*o**3 + 76580*o**2 - 2017696*o + 1942080 = 0.
1, 68, 105
Suppose -15*t**5 - 620*t**4 + 5480*t**3 - 7570*t**2 + 1255*t + 1470 = 0. Calculate t.
-49, -1/3, 1, 6
Factor q**2/4 - 23151*q + 535968801.
(q - 46302)**2/4
Find v such that v**5/7 + 2598*v**4/7 + 1684800*v**3/7 - 3380000*v**2/7 = 0.
-1300, 0, 2
Solve -651*a**4/5 + 48681*a**3/5 - 37362*a**2/5 - 11556*a/5 + 888/5 = 0 for a.
-2/7, 2/31, 1, 74
Factor -3*n**3 - 1038*n**2 - 76035*n + 2464200.
-3*(n - 24)*(n + 185)**2
Solve -y**4/4 - 47*y**3/4 + 1243*y**2/4 + 14555*y/4 - 7875/2 = 0.
-63, -10, 1, 25
Factor -3*t**2 - 462*t - 15600.
-3*(t + 50)*(t + 104)
Factor -o**3/2 + 7895*o**2/2 - 15586703*o/2 + 15578809/2.
-(o - 3947)**2*(o - 1)/2
Find j, given that 5*j**5 - 315*j**4 + 3870*j**3 + 35640*j**2 = 0.
-6, 0, 33, 36
Factor a**2/5 - 223*a/5 - 564.
(a - 235)*(a + 12)/5
Factor 4*w**2 - 452432*w + 12793419664.
4*(w - 56554)**2
Factor 2*d**2/9 - 42076*d/9 + 221298722/9.
2*(d - 10519)**2/9
Let 4*g**2/3 - 58808*g/3 + 216148804/3 = 0. What is g?
7351
Solve -2*x**4 + 794*x**3 - 31676*x**2 + 442008*x - 2081520 = 0 for x.
14, 15, 354
Factor 4*s**3 - 3284*s**2 + 710220*s - 14646492.
4*(s - 399)**2*(s - 23)
Determine y, given that -3*y**2 + 873*y - 58830 = 0.
106, 185
Determine i so that -141*i**3/2 + 417*i**2 + 1059*i/2 + 42 = 0.
-1, -4/47, 7
Find y, given that 876*y**5 + 49923*y**4 + 48543*y**3 - 504*y**2 = 0.
-56, -1, 0, 3/292
Let 2*s**2/3 + 40*s - 650/3 = 0. Calculate s.
-65, 5
Let -2*z**5 - 46*z**4 - 110*z**3 + 206*z**2 + 112*z - 160 = 0. What is z?
-20, -4, -1, 1
Determine w so that -5*w**4 + 200*w**3 - 2945*w**2 + 18990*w - 45360 = 0.
8, 9, 14
Factor 115*p**3 + 215*p**2 - 590*p - 600.
5*(p - 2)*(p + 3)*(23*p + 20)
Let 2*s**5/11 - 156*s**4/11 + 4156*s**3/11 - 42088*s**2/11 + 9222*s + 37004 = 0. What is s?
-2, 11, 29
Factor 2*k**2/5 - 784*k/5 + 37632/5.
2*(k - 336)*(k - 56)/5
What is f in -f**4 + 63*f**3 - 896*f**2 - 960*f = 0?
-1, 0, 24, 40
Factor -l**2 - 83*l - 1612.
-(l + 31)*(l + 52)
Let -2*v**2 + 107398*v + 537040 = 0. Calculate v.
-5, 53704
Solve -9*j**2 + 645*j - 426 = 0.
2/3, 71
Determine y, given that y**5/6 + 2*y**4 - 135*y**3/2 = 0.
-27, 0, 15
Find n, given that 3*n**2 - 105954*n - 105957 = 0.
-1, 35319
Factor 2*x**3 - 14054*x**2 - 28114*x - 14058.
2*(x - 7029)*(x + 1)**2
Determine m, given that 2*m**4/3 + 17866*m**3/3 - 196720*m**2/3 + 143128*m + 214656 = 0.
-8944, -1, 6
Find o such that 2*o**4/11 - 178*o**3/11 - 952*o**2/11 + 1128*o/11 = 0.
-6, 0, 1, 94
Factor -3*t**3 - 4317*t**2 + 8643*t - 4323.
-3*(t - 1)**2*(t + 1441)
Find h such that 30*h**4 + 9215*h**3 + 859385*h**2 + 21900445*h + 3626245 = 0.
-133, -41, -1/6
Factor 4*p**2 + 1484*p - 46400.
4*(p - 29)*(p + 400)
Factor -3*w**2 - 138858*w - 1606795347.
-3*(w + 23143)**2
Find z, given that 4*z**3 - 2054496*z**2 + 263809613376*z = 0.
0, 256812
Suppose 3*k**5/8 - 2397*k**4/4 - 28875*k**3/8 + 2397*k**2/4 + 3609*k = 0. What is k?
