
Determine g, given that -g**5/2 - 473*g**4/2 - 5543*g**3/2 - 5071*g**2/2 = 0.
-461, -11, -1, 0
Factor -4*p**3 - 1980*p**2 + 175872*p - 173888.
-4*(p - 76)*(p - 1)*(p + 572)
Find r such that 4*r**2 - 107548*r - 107552 = 0.
-1, 26888
Factor -k**5/5 - 7261*k**4/5 - 13191418*k**3/5 - 39530698*k**2/5 - 39516181*k/5 - 13169641/5.
-(k + 1)**3*(k + 3629)**2/5
Factor -28*s**2 + 436148*s + 124616.
-4*(s - 15577)*(7*s + 2)
Determine p so that 2*p**3 - 1368*p**2 - 5498*p - 4128 = 0.
-3, -1, 688
Suppose x**2/2 - 4813*x + 9625/2 = 0. Calculate x.
1, 9625
Determine w so that -2*w**4/7 - 202392*w**3/7 - 6827694012*w**2/7 - 76804719012792*w/7 - 690689575430802/7 = 0.
-33729, -9
Factor -2*j**3/9 - 262*j**2/9 + 7826*j/9 - 53066/9.
-2*(j - 13)**2*(j + 157)/9
Factor q**3 + 731*q**2 - 11176*q + 10444.
(q - 14)*(q - 1)*(q + 746)
Factor 2*k**2 + 446474*k.
2*k*(k + 223237)
Find t, given that -10*t**4/9 - 162*t**3 - 9590*t**2/9 - 6418*t/3 - 1112 = 0.
-139, -3, -4/5
Factor -z**3/5 + 1286*z**2 - 10342652*z/5 + 20659592/5.
-(z - 3214)**2*(z - 2)/5
Factor 5*f**2 + 4015*f - 24270.
5*(f - 6)*(f + 809)
Suppose 2*p**5 - 30*p**4 - 36*p**3 + 476*p**2 + 930*p + 450 = 0. What is p?
-3, -1, 5, 15
Solve -2*b**5/21 - 76*b**4/7 + 7562*b**3/21 - 55436*b**2/21 - 360*b + 7952/3 = 0 for b.
-142, -1, 1, 14
What is v in 9*v**3 + 117507*v**2 + 39168*v = 0?
-13056, -1/3, 0
Find k such that k**3 - 951*k**2 + 241824*k - 7341740 = 0.
35, 458
Let 3*g**5/5 - 321*g**4/5 + 882*g**3/5 + 5616*g**2/5 = 0. Calculate g.
-3, 0, 6, 104
Factor 3*t**2/7 - 204657*t/7 + 204654/7.
3*(t - 68218)*(t - 1)/7
Factor 2*v**2/15 - 5042*v/15 - 4732.
2*(v - 2535)*(v + 14)/15
Solve 2*m**5/7 - 286*m**4/7 + 3460*m**3/7 - 10400*m**2/7 = 0 for m.
0, 5, 8, 130
Solve -2*u**3 + 470*u**2 - 17264*u + 87096 = 0 for u.
6, 38, 191
Factor -4*w**2 + 20204*w + 303960.
-4*(w - 5066)*(w + 15)
Factor h**5/3 + 50*h**4/3 + 940*h**3/3 + 8120*h**2/3 + 31360*h/3 + 43904/3.
(h + 4)**2*(h + 14)**3/3
Let -2*p**5/13 - 4116*p**4/13 + 66284*p**3/13 - 174136*p**2/13 + 165894*p/13 - 4148 = 0. What is p?
-2074, 1, 13
Determine a so that -4*a**2 - 19644*a - 176472 = 0.
-4902, -9
Solve -3*m**4/2 + 48423*m**3/2 + 9*m**2/2 - 145263*m/2 - 48423 = 0.
-1, 2, 16141
Factor -2*x**2/9 + 1288*x/9.
-2*x*(x - 644)/9
Factor 11*k**4 + 1714*k**3 + 4737*k**2 - 918*k.
k*(k + 3)*(k + 153)*(11*k - 2)
Let 5*f**3 - 103520*f**2 + 533013545*f + 29085383070 = 0. What is f?
-54, 10379
Factor g**4/3 - 1735*g**3/3 + 746429*g**2/3 + 5341843*g/3 - 4551846.
(g - 871)**2*(g - 2)*(g + 9)/3
Let k**2/9 + 631*k + 191930/9 = 0. What is k?
-5645, -34
Factor -4*k**2 - 14884*k - 29752.
-4*(k + 2)*(k + 3719)
Factor 11*j**2/4 + 28573*j + 5195.
(j + 10390)*(11*j + 2)/4
Determine v so that 2*v**3/7 + 4380*v**2/7 + 2389266*v/7 - 9627272/7 = 0.
-1097, 4
Factor a**2/8 - 1853*a/4 + 11109/8.
(a - 3703)*(a - 3)/8
What is u in u**4/2 - 10645*u**3 + 63863*u**2/2 - 21287*u = 0?
0, 1, 2, 21287
Find b such that -b**5/4 - 23*b**4 - 2035*b**3/4 - 1746*b**2 - 1260*b = 0.
-60, -28, -3, -1, 0
Factor -z**3 + 36*z**2 + 247*z + 210.
-(z - 42)*(z + 1)*(z + 5)
Let u**2/5 - 2302*u - 23024/5 = 0. What is u?
-2, 11512
Factor 5*y**3 - 16690*y**2 + 13927805*y.
5*y*(y - 1669)**2
Determine f so that -64*f**3 - 66976*f**2 + 33500*f - 4188 = 0.
-1047, 1/4
Let -4*x**3 - 452*x**2 - 9064*x - 23232 = 0. Calculate x.
-88, -22, -3
Let 2*n**4/5 - 446*n**3/5 - 41964*n**2/5 - 818216*n/5 + 860624/5 = 0. Calculate n.
-38, 1, 298
Factor 4*j**2/5 + 1656*j - 8284/5.
4*(j - 1)*(j + 2071)/5
Suppose -p**4 + 234*p**3 - 925*p**2 + 1152*p - 460 = 0. What is p?
1, 2, 230
Factor -5*w**4 - 5560*w**3 - 1551230*w**2 - 3085800*w - 1540125.
-5*(w + 1)**2*(w + 555)**2
Suppose -3*z**2/2 + 531*z/2 + 4320 = 0. What is z?
-15, 192
Suppose v**3 + 3200*v**2 - 32111*v - 35310 = 0. Calculate v.
-3210, -1, 11
Suppose -864*i**5 + 4033*i**4 - 6062*i**3/3 - 3449*i**2/3 + 4*i/3 = 0. Calculate i.
-1/3, 0, 1/864, 1, 4
Suppose 4*a**3/3 - 95140*a**2/3 + 188591264*a - 188559552 = 0. What is a?
1, 11892
Factor -4*x**2 + 1844*x + 18840.
-4*(x - 471)*(x + 10)
Factor 5*q**4 - 135*q**3 - 140*q**2.
5*q**2*(q - 28)*(q + 1)
Factor -d**2 + 1847*d.
-d*(d - 1847)
Factor -2*a**3/7 - 1770*a**2/7 + 35262*a + 359036378/7.
-2*(a - 421)*(a + 653)**2/7
Solve 4*w**4 + 276*w**3 + 4572*w**2 - 8260*w - 58800 = 0.
-35, -3, 4
Factor 3*r**3 - 90*r**2 + 672*r.
3*r*(r - 16)*(r - 14)
Determine x, given that 32*x**3/3 + 3254768*x**2/3 + 1627378*x/3 + 203422/3 = 0.
-101711, -1/4
Solve 2*s**4/11 + 334*s**3/11 + 1260*s**2 = 0.
-90, -77, 0
Factor 2*t**3/7 - 1466*t**2/7 - 11826*t/7 - 22230/7.
2*(t - 741)*(t + 3)*(t + 5)/7
Factor -4*f**3/9 + 15944*f**2/9 + 15956*f/3.
-4*f*(f - 3989)*(f + 3)/9
Factor 81*a**4/2 - 25128*a**3 + 4050848*a**2 - 47531008*a + 144908288.
(a - 304)**2*(9*a - 56)**2/2
What is f in 3*f**5 - 51*f**4 + 282*f**3 - 408*f**2 - 1056*f + 2688 = 0?
-2, 4, 7
Factor -d**3 + 587*d**2 - 91448*d + 1532464.
-(d - 284)**2*(d - 19)
What is d in 3*d**2 + 1393518*d + 161824368027 = 0?
-232253
Factor 228*p**2 - 372*p - 40/3.
4*(3*p - 5)*(57*p + 2)/3
Factor 9*i**3/5 + 1612*i**2/5 - 1441*i/5 - 36.
(i - 1)*(i + 180)*(9*i + 1)/5
Suppose -t**4 - 4176*t**3 - 4413694*t**2 - 112647600*t - 727650625 = 0. Calculate t.
-2075, -13
Factor -8*a**2/9 + 68252*a/9 + 3792.
-4*(a - 8532)*(2*a + 1)/9
Factor c**2 - 6741*c/8 - 6749/8.
(c + 1)*(8*c - 6749)/8
Suppose -6*y**4 - 4*y**3 + 126*y**2 + 204*y + 80 = 0. What is y?
-4, -1, -2/3, 5
Solve 2*u**2 + 572*u - 228480 = 0.
-510, 224
Find r, given that -882*r**5 + 10122*r**4 - 11726*r**3 - 13730*r**2 + 8000*r - 1000 = 0.
-1, 5/21, 2, 10
Suppose 10*a**3/7 - 76*a**2/7 - 138*a/7 + 108/7 = 0. What is a?
-2, 3/5, 9
Factor -2*v**3 - 87348*v**2 - 1920930*v - 10563784.
-2*(v + 11)**2*(v + 43652)
Factor -62*z**2 - 4582*z + 444.
-2*(z + 74)*(31*z - 3)
Suppose 5*q**3 + 32990*q**2 + 54647200*q + 758608480 = 0. What is q?
-3292, -14
What is c in -2*c**3/5 - 2514*c**2/5 + 2*c/5 + 2514/5 = 0?
-1257, -1, 1
Factor 5*d**3 - 645*d**2 + 1030*d + 30480.
5*(d - 127)*(d - 8)*(d + 6)
Factor -3*h**2 + 612*h - 20412.
-3*(h - 162)*(h - 42)
Factor 2*u**4/5 - 3878*u**3/5 + 500778*u**2 - 536656738*u/5 - 1083360092/5.
2*(u - 647)**3*(u + 2)/5
Determine p so that 5*p**3 - 6190*p**2 + 1903365*p + 7712820 = 0.
-4, 621
Find j, given that 3*j**3 + 177*j**2 + 492*j - 672 = 0.
-56, -4, 1
Factor -4*q**3 - 6600*q**2 - 52608*q - 105088.
-4*(q + 4)**2*(q + 1642)
Factor m**2/2 - 69051*m/2 + 34525.
(m - 69050)*(m - 1)/2
Factor 509*q**3/7 + 1012*q**2/7 - 12*q/7.
q*(q + 2)*(509*q - 6)/7
Suppose -2*f**3/3 - 1194*f**2 - 160630*f/3 - 52350 = 0. What is f?
-1745, -45, -1
Find x such that 2*x**5 - 4052*x**4 + 8078*x**3 + 36436*x**2 - 8080*x - 32384 = 0.
-2, -1, 1, 4, 2024
Factor 2*b**2/3 - 266*b/3 - 1700.
2*(b - 150)*(b + 17)/3
Factor y**2 - 54880*y + 752953600.
(y - 27440)**2
Solve d**4/2 + 16357*d**3 + 267551449*d**2/2 = 0.
-16357, 0
Suppose g**3/7 + 3814*g**2/7 + 22853*g/7 + 2720 = 0. What is g?
-3808, -5, -1
What is b in -3*b**3/4 - 52632*b**2 + 210537*b - 210540 = 0?
-70180, 2
Suppose -3*u**2/8 + 2997*u/4 - 124551/8 = 0. Calculate u.
21, 1977
Suppose -2*d**3/3 + 352*d**2 - 25318*d/3 + 28168 = 0. What is d?
4, 21, 503
Find h, given that -h**3 - 753*h**2/7 - 425*h/7 + 321/7 = 0.
-107, -1, 3/7
Determine d so that -3*d**4 + 617502*d**3 - 31775726667*d**2 = 0.
0, 102917
Suppose -o**3 + 38873*o**2 - 155480*o + 155476 = 0. Calculate o.
2, 38869
Factor -5*i**3 - 287315*i**2 - 861900*i.
-5*i*(i + 3)*(i + 57460)
Find q such that 4*q**3 - 1490196*q**2 + 2980380*q - 1490188 = 0.
1, 372547
Determine r so that -2*r**3/11 - 530*r**2/11 + 148*r + 5360/11 = 0.
-268, -2, 5
Solve 5*f**3 - 69945*f**2 + 244650120*f - 244580180 = 0 for f.
1, 6994
Let 10*w**3/3 + 1685*w**2/3 - 850*w/3 - 845/3 = 0. Calculate w.
-169, -1/2, 1
Find q, given that 5*q**3 - 800*q**2 + 14500*q - 70000 = 0.
10, 140
Factor 3*s**2/8 + 2409*s/4 - 3627.
3*(s - 6)*(s + 1612)/8
Find z such that -2*z**5/17 + 346*z**4/17 - 21534*z**3/17 + 603446*z**2/17 - 7326664*z/17 + 26454408/17 = 0.
6, 31, 74
Factor -2*c**2 - 1406886*c - 1406884.
-2*(c + 1)*(c + 703442)
Factor 4*k**3/5 - 6248*k**2/5 + 2439844*k/5.
4*k*(k - 781)**2/5
Factor -182*x**2/11 + 3814*x/11 - 9804/11.
-2*(x - 3)*(91*x - 1634)/11
Factor -5*p**5/3 - 35*p**4 + 75*p**3 - 115*p**2/3.
-5*p**2*(p - 1)**2*(p + 23)/3
Le