-209
Determine f so that 2*f**5/5 + 106*f**4/5 + 310*f**3 + 3742*f**2/5 - 80*f - 1000 = 0.
-25, -2, 1
Solve -3*o**4 - 3588*o**3 - 1072812*o**2 = 0 for o.
-598, 0
What is b in -2*b**3/7 - 5046*b**2/7 + 2*b/7 + 5046/7 = 0?
-2523, -1, 1
Factor 4*k**3/3 + 8116*k**2/3 - 24400*k/3 - 32512/3.
4*(k - 4)*(k + 1)*(k + 2032)/3
Factor 7*q**3/5 + 11467*q**2/5 + 136848*q/5 + 409788/5.
(q + 6)**2*(7*q + 11383)/5
Find v such that 5*v**5 + 280*v**4 + 3635*v**3 - 15680*v**2 - 207760*v + 219520 = 0.
-28, -8, 1, 7
Let 2*v**4 - 70*v**3 + 348*v**2 = 0. Calculate v.
0, 6, 29
Let -2*m**2/9 - 326*m + 1964 = 0. Calculate m.
-1473, 6
Determine l so that -2*l**3 + 1638*l**2 - 444000*l + 39777664 = 0.
227, 296
Solve -3*y**3/5 - 162*y**2 - 5523*y/5 = 0 for y.
-263, -7, 0
Let 2*f**3 - 52493*f**2 + 344452504*f - 172213129 = 0. What is f?
1/2, 13123
Determine a, given that 2*a**5/5 + 16*a**4/5 - 10*a**3 - 80*a**2 = 0.
-8, -5, 0, 5
Factor 3*i**2/8 - 321681*i/2 + 34492888587/2.
3*(i - 214454)**2/8
Factor i**2 - 2084*i + 91755.
(i - 2039)*(i - 45)
Let -4*h**5 - 443*h**4 - 4805*h**3 - 15127*h**2 - 7791*h + 2970 = 0. Calculate h.
-99, -6, -5, -1, 1/4
What is a in 4*a**2 + 1045784*a + 68354010916 = 0?
-130723
Factor 2*v**2 - 311484*v + 12127785282.
2*(v - 77871)**2
Suppose -5*p**2 - 959025*p = 0. What is p?
-191805, 0
Factor 3*g**2 - 34680*g + 100225200.
3*(g - 5780)**2
Solve -n**4 - 111620*n**3 - 3115648932*n**2 - 49828953920*n - 199287245056 = 0.
-55802, -8
Factor -15*x**3/7 + 1059*x**2/7 + 426*x/7.
-3*x*(x - 71)*(5*x + 2)/7
Solve -t**5 + 440*t**4 - 48400*t**3 = 0 for t.
0, 220
Factor -j**3/5 + 2869*j**2/5 + 40313*j/5 + 141267/5.
-(j - 2883)*(j + 7)**2/5
What is p in -6*p**2/13 - 2092906*p/13 - 1395268/13 = 0?
-348817, -2/3
Factor o**4/2 - 248*o**3 - 2003*o**2/2 + 741*o + 4500.
(o - 500)*(o - 2)*(o + 3)**2/2
What is z in -z**3 - 84*z**2 - 2109*z - 13690 = 0?
-37, -10
Find p such that -2*p**4 + 250*p**3 - 5568*p**2 = 0.
0, 29, 96
Find s, given that -s**5/3 + 2180*s**4/3 + 17548*s**3/3 - 96320*s**2/3 + 35008*s = 0.
-12, 0, 2, 2188
Suppose 64*j**3 + 9952*j**2 + 154836*j + 38088 = 0. Calculate j.
-138, -69/4, -1/4
Factor -d**3/5 - 343*d**2/5 - 3319*d/5 + 3663/5.
-(d - 1)*(d + 11)*(d + 333)/5
Determine a so that a**3 + 5155*a**2 + 20592*a - 61812 = 0.
-5151, -6, 2
Suppose 2*m**3/7 - 4402*m**2/7 + 2424400*m/7 - 2420000/7 = 0. Calculate m.
1, 1100
Suppose t**5/2 + 5*t**4 - 53*t**3/2 + 21*t**2 = 0. What is t?
-14, 0, 1, 3
Factor -3*l**3 + 57*l**2 + 228*l - 660.
-3*(l - 22)*(l - 2)*(l + 5)
What is k in -4*k**3 + 936*k**2 + 728940*k + 728000 = 0?
-325, -1, 560
Find z, given that z**4/11 + 5051*z**3/11 - 35399*z**2/11 + 35421*z/11 + 75870/11 = 0.
-5058, -1, 3, 5
Solve w**5 + 7*w**4 - 61*w**3 - 163*w**2 + 300*w + 396 = 0 for w.
-11, -3, -1, 2, 6
Solve 21*z**3 - 1797*z**2 + 4362*z + 9960 = 0 for z.
-10/7, 4, 83
Factor 2*d**2/3 - 122776*d + 5652729816.
2*(d - 92082)**2/3
Factor 5*x**2 - 16646390*x + 13855115001605.
5*(x - 1664639)**2
Factor -d**2/7 - 319388*d/7 - 25502173636/7.
-(d + 159694)**2/7
Solve -h**3 - 1243*h**2 - 420675*h - 43193961 = 0 for h.
-769, -237
Factor -t**4 + 23*t**3 - 51*t**2 - 175*t - 100.
-(t - 20)*(t - 5)*(t + 1)**2
Let -20*a**5/7 - 976*a**4/7 - 7552*a**3/7 + 4072*a**2/7 + 18516*a/7 - 14040/7 = 0. Calculate a.
-39, -10, -9/5, 1
Factor 2*r**2/11 + 19208*r + 507302488.
2*(r + 52822)**2/11
Factor w**2/3 - 30388*w/3 + 10129.
(w - 30387)*(w - 1)/3
Determine z, given that -2266320500*z**3 + 6799174400*z**2 - 638705*z + 15 = 0.
1/21290, 3
Find m, given that 33*m**3/4 - 68601*m**2/4 - 192786*m - 34485 = 0.
-11, -2/11, 2090
Find x, given that 2*x**4 - 2776*x**3 - 5590*x**2 + 41628*x + 100080 = 0.
-3, 4, 1390
Let 5*m**5 + 645*m**4 - 3315*m**3 + 4675*m**2 - 2010*m = 0. What is m?
-134, 0, 1, 3
Find k, given that 2*k**4/9 - 4564*k**3/9 + 289306*k**2 + 18256*k/9 - 10415048/9 = 0.
-2, 2, 1141
Suppose n**4/3 + 5416*n**3/3 - 5417*n**2/3 = 0. Calculate n.
-5417, 0, 1
Solve 2*m**5/11 + 2690*m**4/11 - 57224*m**3/11 + 202936*m**2/11 + 95424*m + 786816/11 = 0 for m.
-1366, -2, -1, 12
Factor 51*h**2 + 9957*h + 170772.
3*(h + 19)*(17*h + 2996)
Factor -1969*o**3 - 13765*o**2 + 15878*o - 144.
-(o - 1)*(o + 8)*(1969*o - 18)
Factor l**3/5 - 192513*l**2/5 + 9265410048*l/5 - 9265217536/5.
(l - 96256)**2*(l - 1)/5
What is t in 4*t**2 + 11824*t - 322164 = 0?
-2983, 27
Find k such that -33*k**3 + 591*k**2 - 2490*k + 1800 = 0.
10/11, 5, 12
Factor q**3/5 + 457*q**2/5 + 49719*q/5 + 411183/5.
(q + 9)*(q + 157)*(q + 291)/5
Find l, given that -10*l**5 - 75*l**4 + 5170*l**3 - 2565*l**2 = 0.
-27, 0, 1/2, 19
What is n in 3*n**2/4 + 2661*n + 10641/4 = 0?
-3547, -1
Factor -p**2/4 - 15871*p/4 - 31726.
-(p + 8)*(p + 15863)/4
Suppose -2*w**3 - 36*w**2 + 486*w = 0. Calculate w.
-27, 0, 9
What is k in -5*k**3 + 1940*k**2 + 3895*k + 1950 = 0?
-1, 390
What is t in t**2 + 4018*t + 24072 = 0?
-4012, -6
Let -32*m**4 + 7872*m**3 - 96926*m**2 - 492*m + 6058 = 0. What is m?
-1/4, 1/4, 13, 233
Factor -5*f**3 + 7040*f**2 - 7035*f.
-5*f*(f - 1407)*(f - 1)
Let 18*v**5 + 4180*v**4 - 3266*v**3 - 932*v**2 = 0. Calculate v.
-233, -2/9, 0, 1
Factor 269212808*i**3/3 - 46408*i**2 + 6*i.
2*i*(11602*i - 3)**2/3
Factor 8*k**3 - 2180*k**2 - 25864*k - 74976.
4*(k - 284)*(k + 6)*(2*k + 11)
Determine u, given that u**4/6 + 31*u**3/6 + 17*u**2 - 380*u/3 - 416/3 = 0.
-26, -8, -1, 4
Find n, given that -6*n**3/7 - 26883*n**2 + 94095*n/7 + 94092/7 = 0.
-31364, -1/2, 1
Factor -v**2 + 1167626*v - 340837618969.
-(v - 583813)**2
Factor 3*x**3 - 173754*x**2 + 1042443*x - 1563624.
3*(x - 57912)*(x - 3)**2
Solve -p**4/6 + 74*p**3/3 + 4351*p**2/6 - 2249*p/3 = 0 for p.
-26, 0, 1, 173
Find a such that 3*a**3/2 + 183*a**2/2 + 936*a + 2646 = 0.
-49, -6
Factor 231*z**3 - 4159*z**2/2 - 74835*z/2 + 81.
(z - 18)*(z + 9)*(462*z - 1)/2
Let -y**5 - 253*y**4 - 16120*y**3 - 13848*y**2 + 130032*y + 190512 = 0. Calculate y.
-126, -2, 3
Suppose -f**3/4 + 158*f**2 + 635*f + 636 = 0. Calculate f.
-2, 636
Let 5*f**5 + 1728435*f**4 + 149373513235*f**3 - 149376970115*f**2 - 149373513240*f + 149375241680 = 0. What is f?
-172844, -1, 1
Determine i so that -i**4/5 - i**3 - 2*i**2/5 + 8*i/5 = 0.
-4, -2, 0, 1
Determine w so that 4*w**2 - 1980*w - 7984 = 0.
-4, 499
Find j, given that 3*j**5 + 17*j**4/4 - 21*j**3/2 - 17*j**2 - 6*j = 0.
-2, -3/4, -2/3, 0, 2
Solve t**5 + 415*t**4 - 6457*t**3 - 2911*t**2 + 42660*t + 38700 = 0.
-430, -2, -1, 3, 15
Factor 35*r**3/4 + 5605*r**2/2 + 800*r.
5*r*(r + 320)*(7*r + 2)/4
Factor 3*w**5/2 + 207*w**4/2 + 756*w**3 + 1464*w**2.
3*w**2*(w + 4)**2*(w + 61)/2
Find i such that 5*i**4 - 5155*i**3 - 15515*i**2 + 5155*i + 15510 = 0.
-3, -1, 1, 1034
Factor 3*v**2/2 - 9435*v/2 + 56394.
3*(v - 3133)*(v - 12)/2
Factor -4*t**2/7 + 888*t/7 + 256.
-4*(t - 224)*(t + 2)/7
Factor 2*v**2/15 - 8494*v/15 - 17012/5.
2*(v - 4253)*(v + 6)/15
Factor -p**3/10 + 673*p**2/10 + 1014*p/5.
-p*(p - 676)*(p + 3)/10
Let 6*u**4/5 - 32*u**3/5 - 42*u**2 + 92*u/5 + 144/5 = 0. What is u?
-4, -2/3, 1, 9
Factor 3*f**2/2 - 40503*f/2 - 20253.
3*(f - 13502)*(f + 1)/2
Suppose -2*v**5 + 36*v**4 - 34*v**3 - 840*v**2 = 0. What is v?
-4, 0, 7, 15
Determine r, given that 2*r**2 + 684*r - 81968 = 0.
-436, 94
Find w, given that -95*w**3 - 4950*w**2 + 51635*w + 5490 = 0.
-61, -2/19, 9
Factor 5*b**2 - 23525*b - 164920.
5*(b - 4712)*(b + 7)
Suppose -l**2 - 192*l - 3440 = 0. Calculate l.
-172, -20
Find u such that -2*u**5/15 + 39004*u**4/15 - 84499992*u**3/5 + 109748506384*u**2/3 + 2199028624064*u/15 = 0.
-4, 0, 6502
Solve -3*j**3 - 147*j**2 + 1347*j - 1197 = 0.
-57, 1, 7
Determine k so that 4*k**2/7 - 6743792*k/7 + 2842420658704/7 = 0.
842974
Find v, given that 2*v**3/11 + 522*v**2/11 + 31590*v/11 - 328050/11 = 0.
-135, 9
Factor -9*v**3 + 51087*v**2 - 204240*v + 204204.
-3*(v - 2)**2*(3*v - 17017)
Factor -4*f**3/9 + 49264*f**2/9 - 151585280*f/9 - 607129600/9.
-4*(f - 6160)**2*(f + 4)/9
Suppose -4418*x**3 + 1505410*x**2 - 128989504*x + 127488512 = 0. What is x?
1, 7984/47
Solve -5*l**5/2 - 5255*l**4 - 88610*l**3 + 5255*l**2 + 177225*l/2 = 0 for l.
-2085, -17, -1, 0, 1
Solve l**2/5 - 86824*l/5 + 86823/5 = 0 for l.
1, 86823
Let 15*u**3 - 37233*u**2/2 + 3723*u/2 = 0. Calculate u.
0, 1/10, 1241
Find x such that -5*x**5 + 430*x**4 - 1660*x**3 + 1640*x**2 = 0.
0, 2, 82
Factor -3*u**2 - 11214*u + 101169.
-3