493/2 = 0.
-1277, -3
Factor -3*p**2 + 39951*p - 558726.
-3*(p - 13303)*(p - 14)
Factor -5*d**3 + 1115*d**2 - 45880*d - 1922000.
-5*(d - 124)**2*(d + 25)
Determine s so that -3*s**4 - 1275*s**3 - 130872*s**2 + 990144*s + 1119744 = 0.
-216, -1, 8
Factor -w**3/5 - 278*w**2/5 - 19321*w/5.
-w*(w + 139)**2/5
Suppose 2*v**2/5 + 65864*v/5 - 65866/5 = 0. What is v?
-32933, 1
Determine m so that -28*m**4 + 1072864*m**3 - 10277424048*m**2 + 5872463424*m = 0.
0, 4/7, 19158
Solve -552*k**4 - 4710*k**3 + 2331*k**2 + 81*k = 0.
-9, -3/92, 0, 1/2
Solve -3*p**4/2 - 174327*p**3/2 - 2532056037*p**2/2 + 12664638735*p/2 = 0.
-29057, 0, 5
Solve -2*i**2 + 1074*i + 243896 = 0.
-172, 709
Solve r**2/2 + 4053*r/2 + 8098 = 0 for r.
-4049, -4
Determine q so that -q**2/6 + 2074*q/3 + 1383/2 = 0.
-1, 4149
Factor -2*k**3/11 + 3546*k**2 - 190164000*k/11 - 190203008/11.
-2*(k - 9752)**2*(k + 1)/11
Factor -u**3/2 + 60789*u**2/2 + 121584*u + 121586.
-(u - 60793)*(u + 2)**2/2
Factor -a**3/3 + 19568*a**2/3 - 195605*a/3 + 488950/3.
-(a - 19558)*(a - 5)**2/3
Solve -3*c**2 + 24933*c + 24936 = 0 for c.
-1, 8312
Suppose -9*w**3 + 65559*w**2 + 1358610*w + 876600 = 0. What is w?
-20, -2/3, 7305
What is b in 6554*b**3 + 13126*b**2 + 6590*b + 18 = 0?
-1, -9/3277
Find b, given that -b**3/6 + 220*b**2/3 - 439*b/6 = 0.
0, 1, 439
Solve -p**4/5 - 2*p**3/5 + 229*p**2/5 - 442*p/5 = 0.
-17, 0, 2, 13
Determine v, given that 4*v**4 + 356*v**3 + 3996*v**2 - 15300*v = 0.
-75, -17, 0, 3
Find c such that -55*c**4/3 - 2309*c**3/3 - 121*c**2 + 2309*c/3 + 418/3 = 0.
-209/5, -1, -2/11, 1
Factor 20*s**2/7 + 657*s/7 + 1710/7.
(s + 30)*(20*s + 57)/7
Solve -3*j**2/7 + 133710*j/7 - 152784 = 0.
8, 44562
Find m such that -4*m**3 + 492*m**2 - 3960*m - 16416 = 0.
-3, 12, 114
Factor -3*x**2 + 3354*x - 16695.
-3*(x - 1113)*(x - 5)
Find v such that 2*v**3/7 - 4460*v**2/7 + 296344*v/7 - 4998544/7 = 0.
34, 2162
Solve 2*d**3/9 + 388*d**2/9 + 2650*d/3 + 1596 = 0 for d.
-171, -21, -2
Determine i, given that -2*i**2 - 674556*i - 1349104 = 0.
-337276, -2
Factor 3*w**4 + 243*w**3 + 2814*w**2.
3*w**2*(w + 14)*(w + 67)
Determine i, given that -4*i**5/11 + 270*i**4 + 5648*i**3 + 334034*i**2/11 + 122280*i/11 - 152600/11 = 0.
-10, -1, 1/2, 763
Factor -4*u**3 - 13416*u**2 - 213564*u + 226984.
-4*(u - 1)*(u + 17)*(u + 3338)
Factor 2*j**3 - 2186*j**2 + 591822*j + 3014010.
2*(j - 549)**2*(j + 5)
What is s in -2*s**3/11 + 486*s**2/11 - 480*s/11 - 88 = 0?
-1, 2, 242
Factor v**3 + 27582*v**2 - 55167*v + 27584.
(v - 1)**2*(v + 27584)
Determine y, given that -5*y**4 - 720*y**3 + 2225*y**2 + 2880*y - 8820 = 0.
-147, -2, 2, 3
Determine l so that 14*l**5 + 1678*l**4 + 6234*l**3 - 3638*l**2 - 18208*l + 13920 = 0.
-116, -3, -20/7, 1
Determine a, given that 2*a**2/3 - 32248*a/3 + 32242 = 0.
3, 16121
Find m, given that -m**4/2 + 247*m**3 - 40374*m**2 + 2171529*m + 4424301/2 = 0.
-1, 153, 189
Factor -p**3/4 + 122677*p**2/2 - 1472097*p/4 + 552033.
-(p - 245348)*(p - 3)**2/4
What is r in -2*r**2/7 - 706*r/7 + 4308/7 = 0?
-359, 6
Factor -4*c**2 - 1996*c + 90888.
-4*(c - 42)*(c + 541)
Factor 2*c**3/13 - 2092*c**2/13 + 41240*c/13 - 205200/13.
2*(c - 1026)*(c - 10)**2/13
Find v such that 2*v**5/3 - 98*v**4 - 4892*v**3/3 + 1728*v**2 = 0.
-16, 0, 1, 162
Find f, given that -3*f**5/5 + 237*f**4/5 + 2763*f**3/5 - 297837*f**2/5 - 893592*f + 952560 = 0.
-21, 1, 60
Let 6*b**3/5 - 146658*b**2/5 - 1760544*b/5 - 1056456 = 0. What is b?
-6, 24455
Let 3*q**3/4 + 3741*q**2 - 3*q - 14964 = 0. What is q?
-4988, -2, 2
Let -8*k**2 + 223420*k + 335148 = 0. What is k?
-3/2, 27929
Suppose -p**3 - 1095*p**2 - 322875*p - 12403125 = 0. Calculate p.
-525, -45
Factor -2*j**4 + 40656*j**3 - 206573132*j**2 - 413268240*j - 206654450.
-2*(j - 10165)**2*(j + 1)**2
Factor -2*d**2 + 982*d + 16224.
-2*(d - 507)*(d + 16)
Find d such that 320*d**3 - 5200*d**2 + 6885*d + 131220 = 0.
-4, 81/8
Find t such that -5*t**5 + 1190*t**4 - 8160*t**3 + 17390*t**2 - 15035*t + 4620 = 0.
1, 4, 231
What is z in 2*z**3/5 + 246346*z**2/5 = 0?
-123173, 0
What is i in -3*i**3/2 - 24879*i**2/2 - 25721640*i + 284445216 = 0?
-4152, 11
Suppose -16*d**5 + 364*d**4 + 5704*d**3 + 14180*d**2 - 936*d - 9792 = 0. What is d?
-8, -3, -1, 3/4, 34
Factor -4*h**4 - 25836*h**3 + 77532*h**2 - 77540*h + 25848.
-4*(h - 1)**3*(h + 6462)
Factor 3*i**2/2 - 16404*i - 98451/2.
3*(i - 10939)*(i + 3)/2
Solve -2*j**2/9 + 6400*j/9 - 6394/3 = 0 for j.
3, 3197
Suppose 14*k**5 + 2342*k**4 - 244808*k**3 - 42527936*k**2 - 54340800*k - 12060000 = 0. What is k?
-150, -1, -2/7, 134
What is h in -40*h**5 - 206*h**4 + 2884*h**3 + 3494*h**2 + 924*h = 0?
-11, -3/4, -2/5, 0, 7
Let d**4 + 222*d**3 + 5265*d**2 + 33124*d = 0. What is d?
-196, -13, 0
Determine a so that -9*a**4/4 - 1272*a**3 + 19064*a**2 - 44032*a + 27840 = 0.
-580, 4/3, 12
Factor 4*i**2/7 + 441888*i/7 + 441884/7.
4*(i + 1)*(i + 110471)/7
Factor 4*j**2 + 432*j - 14580.
4*(j - 27)*(j + 135)
Find o, given that 2*o**3 + 10747*o**2 + 5373*o = 0.
-5373, -1/2, 0
Factor p**2 - 185*p - 15314.
(p - 247)*(p + 62)
Let 4*t**4 + 16*t**3 - 112*t**2 + 128*t = 0. Calculate t.
-8, 0, 2
Suppose x**2 - 5354*x - 16071 = 0. Calculate x.
-3, 5357
Factor -4*l**4/5 + 60328*l**3/5 + 120668*l**2/5 + 60336*l/5.
-4*l*(l - 15084)*(l + 1)**2/5
Suppose -5*i**5 - 200*i**4 - 1495*i**3 + 7280*i**2 + 6060*i - 25920 = 0. Calculate i.
-27, -16, -2, 2, 3
Factor 11*b**4 - 1014*b**3 + 4056*b**2 - 704*b.
b*(b - 88)*(b - 4)*(11*b - 2)
Solve x**5/5 - 421*x**4/5 - 1271*x**3/5 - 427*x**2/5 + 254*x + 848/5 = 0.
-2, -1, 1, 424
Factor 2*q**5/7 - 50*q**4/7 + 482*q**3/7 - 2230*q**2/7 + 700*q - 4000/7.
2*(q - 8)*(q - 5)**3*(q - 2)/7
Find a such that -154*a**4/5 - 17398*a**3/5 - 482338*a**2/5 + 512886*a/5 - 12996/5 = 0.
-57, 2/77, 1
Factor -i**2 + 986*i + 30480.
-(i - 1016)*(i + 30)
Factor -m**2/4 - 7386*m - 54552996.
-(m + 14772)**2/4
Solve -4*b**4 + 848*b**3 + 2580*b**2 + 16*b - 3440 = 0 for b.
-2, 1, 215
Let 5*k**4/4 - 4185*k**3/4 + 290850*k**2 - 26558000*k - 82320000 = 0. What is k?
-3, 280
Find y, given that 4*y**2 - 6380*y + 12744 = 0.
2, 1593
Determine p, given that -p**3/2 + 17*p**2/2 + 73*p/2 - 665/2 = 0.
-7, 5, 19
Let 226*m**3 + 21466*m**2 - 44224*m + 776 = 0. What is m?
-97, 2/113, 2
Factor -305*r**2 - 338*r - 33.
-(r + 1)*(305*r + 33)
Determine z so that -3*z**3/4 + 20319*z**2/4 + 20325*z/2 = 0.
-2, 0, 6775
Determine n, given that n**5/2 + 165*n**4/2 - n**3/2 - 165*n**2/2 = 0.
-165, -1, 0, 1
Let 2*q**4/3 - 2352*q**3 + 14104*q**2/3 = 0. What is q?
0, 2, 3526
Factor 2*q**4 + 8694*q**3 - 26094*q**2 + 26098*q - 8700.
2*(q - 1)**3*(q + 4350)
Solve -z**5/7 - z**4 + 9*z**3/7 + 115*z**2/7 + 100*z/7 = 0 for z.
-5, -1, 0, 4
Determine c, given that c**5/2 + 6053*c**4/2 + 4584389*c**3 + 13735013*c**2 + 27457925*c/2 + 9150625/2 = 0.
-3025, -1
Suppose -5*i**5 - 260*i**4 + 920*i**3 + 123110*i**2 - 493395*i + 369630 = 0. Calculate i.
-37, 1, 3, 18
Factor 2*j**3/7 - 11994*j**2/7.
2*j**2*(j - 5997)/7
Factor 5*p**2 - 201015*p - 402050.
5*(p - 40205)*(p + 2)
Suppose 2*y**5 + 38*y**4 + 206*y**3 + 330*y**2 = 0. Calculate y.
-11, -5, -3, 0
What is q in 3*q**2/2 - 2805*q/2 + 9744 = 0?
7, 928
Suppose 14074025956*b**2 + 949072*b + 16 = 0. What is b?
-2/59317
Find r, given that -r**3 - 3500*r**2 - 3051973*r + 18438054 = 0.
-1753, 6
Factor -5*p**2 - 3300*p + 173705.
-5*(p - 49)*(p + 709)
Factor -2*o**2/5 + 778*o/5 + 27248.
-2*(o - 520)*(o + 131)/5
Find l, given that 4*l**2 + 311152*l + 6050972944 = 0.
-38894
Solve -b**4/4 + 305*b**3/4 + 1543*b**2/4 + 2167*b/4 + 465/2 = 0 for b.
-3, -1, 310
What is m in 33*m**4 + 18684*m**3 + 21975*m**2 - 33912*m - 6780 = 0?
-565, -2, -2/11, 1
Determine d so that 3*d**5 - 696*d**4 - 747*d**3 + 11136*d**2 + 11184*d = 0.
-4, -1, 0, 4, 233
Factor -3*b**2 - 6180*b - 18513.
-3*(b + 3)*(b + 2057)
Factor 2*g**3/3 + 1882*g**2/3 - 284734*g + 27047370.
2*(g - 177)**2*(g + 1295)/3
Factor -2*w**3 + 160030*w**2 + 640152*w.
-2*w*(w - 80019)*(w + 4)
Determine r, given that -2*r**3 - 242*r**2 - 7888*r - 33640 = 0.
-58, -5
Determine x so that 2*x**4/9 - 386*x**3 + 1547786*x**2/9 - 3762230*x + 32315756/9 = 0.
1, 22, 857
Factor -4*j**2 + 18288*j + 293632.
-4*(j - 4588)*(j + 16)
Let -j**3/10 + 33*j**2/5 + 212*j/5 + 288/5 = 0. What is j?
-4, -2, 72
Factor -g**3/5 + 1179*g**2/5 - 349272*g/5 + 1037232/5.
-(g - 588)**2*(g - 3)/5
Find y such