ine q so that 3*q**5/7 + 1290*q**4/7 + 47997*q**3/7 + 466710*q**2/7 - 48000*q/7 - 468000/7 = 0.
-390, -20, -1, 1
Find u such that -2*u**5/9 - 100*u**4/9 - 1282*u**3/9 - 5408*u**2/9 - 1408*u/3 = 0.
-33, -8, -1, 0
Factor -3*x**3 + 5469*x**2 + 43971*x - 49437.
-3*(x - 1831)*(x - 1)*(x + 9)
Let -5*v**5 + 11435*v**4 + 11450*v**3 - 22880*v**2 = 0. What is v?
-2, 0, 1, 2288
Suppose 3*x**2/7 - 247242*x/7 + 5094050547/7 = 0. What is x?
41207
Determine a so that a**2/5 - 28233*a/5 - 84708/5 = 0.
-3, 28236
Find z such that -z**4/3 + 32*z**3/3 + 147*z**2 - 2364*z + 7020 = 0.
-18, 5, 6, 39
Let h**3/4 - 465*h**2/4 - 467*h/2 = 0. What is h?
-2, 0, 467
Suppose w**2/3 + 18416*w/3 + 18415/3 = 0. Calculate w.
-18415, -1
Solve 75600*w**5 - 287230*w**4 + 193346*w**3 - 36160*w**2 - 24*w = 0 for w.
-1/1512, 0, 2/5, 3
Factor 2*q**3/7 + 83708*q**2/7 + 11958*q.
2*q*(q + 1)*(q + 41853)/7
Factor 25*k**2 + 493410*k + 197360.
5*(k + 19736)*(5*k + 2)
Determine j, given that -9*j**3/7 + 3662*j**2 - 31319*j/7 + 5694/7 = 0.
2/9, 1, 2847
Determine u, given that -u**3 + 3918*u**2 - 170940*u + 1875016 = 0.
22, 3874
What is d in 2*d**5/7 - 32*d**4/7 + 80*d**3/7 - 20*d**2/7 - 82*d/7 + 52/7 = 0?
-1, 1, 2, 13
Let 27*a**4 + 6813*a**3 + 397704*a**2 - 4092480*a + 3687936 = 0. Calculate a.
-392/3, 1, 8
Factor -5*z**5 - 36615*z**4 - 67051215*z**3 - 67014605*z**2.
-5*z**2*(z + 1)*(z + 3661)**2
Determine f so that 3*f**3/2 - 114303*f**2/2 = 0.
0, 38101
Factor -2*u**3/17 - 258*u**2/17 - 10494*u/17 - 129214/17.
-2*(u + 23)*(u + 53)**2/17
Solve -i**4/2 - 79*i**3/2 + 81*i**2 = 0.
-81, 0, 2
Factor 4*j**3 + 3420*j**2 + 924000*j + 80344000.
4*(j + 220)**2*(j + 415)
Determine v so that -v**2 - 317*v + 20460 = 0.
-372, 55
Factor -3*n**3 - 1560*n**2 - 1551*n + 3114.
-3*(n - 1)*(n + 2)*(n + 519)
Factor -21*n**3/4 + 255*n**2/4 - 297*n/2.
-3*n*(n - 9)*(7*n - 22)/4
Factor d**3/6 - 65*d**2/3 - 22016*d/3 + 3165488/3.
(d - 172)**2*(d + 214)/6
Solve 4*s**5 + 38*s**4 - 6*s**3 - 358*s**2 + 562*s - 240 = 0 for s.
-8, -5, 1, 3/2
Factor -u**3/10 + 77*u**2/5 + 1156*u/5 + 672.
-(u - 168)*(u + 4)*(u + 10)/10
Factor -2*j**2/7 + 6578*j/7 - 19716/7.
-2*(j - 3286)*(j - 3)/7
Determine c so that -44*c**2 - 13116*c - 1192 = 0.
-298, -1/11
Suppose 2*r**5/7 - 172*r**4/7 + 166*r**3/7 + 340*r**2/7 = 0. What is r?
-1, 0, 2, 85
Factor m**5 - 901*m**4 + 201564*m**3 + 638224*m**2 - 5720512*m.
m*(m - 452)**2*(m - 4)*(m + 7)
Factor -f**4/2 + 41419*f**3/2 - 124251*f**2/2 + 124249*f/2 - 20708.
-(f - 41416)*(f - 1)**3/2
Factor 2*b**2/3 + 1363178*b/3.
2*b*(b + 681589)/3
Let -3*g**2/4 - 13038*g + 208800 = 0. Calculate g.
-17400, 16
Factor 100*l**3 + 62020*l**2 - 49664*l + 9936.
4*(l + 621)*(5*l - 2)**2
Suppose 26*p**2/7 + 111232*p/7 + 17112/7 = 0. Calculate p.
-4278, -2/13
Find l, given that 4*l**5 - 200*l**4 - 10668*l**3 + 12752*l**2 + 109808*l + 86592 = 0.
-33, -2, -1, 4, 82
What is p in 3*p**2/4 + 240951*p/2 + 19352461467/4 = 0?
-80317
Solve 14*h**5 + 15732*h**4 + 4385736*h**3 - 19004560*h**2 + 22884864*h - 5089536 = 0.
-564, 2/7, 2
Solve -18*j**5/5 - 831*j**4/5 - 8804*j**3/5 + 18052*j**2/5 - 11328*j/5 + 2304/5 = 0 for j.
-24, 1/2, 2/3
Factor 2*y**3/7 - 318*y**2/7 - 9732*y/7 + 2960.
2*(y - 185)*(y - 2)*(y + 28)/7
Let -4*m**3 + 2036*m**2 + 6136*m + 4096 = 0. Calculate m.
-2, -1, 512
Find j, given that 2*j**2/9 - 10610*j/3 - 10612 = 0.
-3, 15918
Factor 4*g**2 - 395764*g.
4*g*(g - 98941)
Determine s so that 20*s**5/7 - 688*s**4/7 - 5240*s**3/7 - 6992*s**2/7 - 2460*s/7 = 0.
-5, -1, -3/5, 0, 41
Factor -2*n**2/5 + 7004*n/5 - 6132002/5.
-2*(n - 1751)**2/5
Solve -i**5 + 1066*i**4 - 384328*i**3 + 48784400*i**2 - 696290000*i + 1200500000 = 0.
2, 14, 350
Determine u, given that -5*u**4 + 314300*u**3 - 4939538790*u**2 + 9878134700*u - 4938910205 = 0.
1, 31429
Factor 2*x**3 - 1078*x**2 + 103888*x + 11856520.
2*(x - 302)**2*(x + 65)
Let 4*d**3 - 20468*d**2 - 16*d + 81872 = 0. What is d?
-2, 2, 5117
Solve -r**5 + 18*r**4 + 5892*r**3 + 150328*r**2 + 277248*r = 0 for r.
-38, -2, 0, 96
Let t**5/5 + 49*t**4 + 12643*t**3/5 - 61685*t**2 - 1077344*t/5 + 274576 = 0. Calculate t.
-131, -4, 1, 20
What is l in -5*l**2 - 345*l + 40610 = 0?
-131, 62
What is p in -p**2/5 - 4664*p/5 - 4663/5 = 0?
-4663, -1
Let q**3/5 + 1888*q**2/5 + 966773*q/5 + 69814886/5 = 0. What is q?
-901, -86
Factor v**4/2 + 71*v**3/2 - 2019*v**2/2 - 158179*v/2 + 80063.
(v - 46)*(v - 1)*(v + 59)**2/2
Factor -i**2/7 + 198*i + 2776/7.
-(i - 1388)*(i + 2)/7
Suppose -9*b**4 + 177*b**3 + 3828*b**2 + 4500*b - 4752 = 0. Calculate b.
-12, -2, 2/3, 33
Factor 3*q**5/2 - 12*q**4.
3*q**4*(q - 8)/2
What is y in y**5/2 - 3*y**4/2 - 9*y**3/2 + 23*y**2/2 - 6*y = 0?
-3, 0, 1, 4
Let -3*b**5/4 + 15*b**4/2 + 375*b**3/2 - 1245*b**2 + 9333*b/4 - 2565/2 = 0. Calculate b.
-15, 1, 2, 3, 19
Factor c**4/2 + 1928*c**3 + 1935959*c**2 + 149163576*c + 5985652689/2.
(c + 41)**2*(c + 1887)**2/2
Find k such that 4*k**5 - 64*k**4 - 1188*k**3 = 0.
-11, 0, 27
Factor 25947*b**5 + 529542*b**4 + 2807823*b**3 + 1081860*b**2 + 108300*b.
3*b*(b + 10)**2*(93*b + 19)**2
Factor 4*i**2 + 305984*i + 5851638016.
4*(i + 38248)**2
Suppose 2*m**4/9 + 244*m**3/9 + 5144*m**2/9 - 3760*m/3 = 0. Calculate m.
-94, -30, 0, 2
Factor 227070*v**3 - 4330860*v**2 + 1886225*v/6 - 34295/6.
5*(v - 19)*(522*v - 19)**2/6
Factor -2*f**2 + 16030*f - 32052.
-2*(f - 8013)*(f - 2)
Determine x, given that -x**2/6 - 95*x/6 + 49 = 0.
-98, 3
Factor -3*t**2 - 789*t - 15906.
-3*(t + 22)*(t + 241)
Factor -f**4/2 - 59566*f**3.
-f**3*(f + 119132)/2
Factor -2*o**3/3 - 94*o**2/3 + 196*o/3.
-2*o*(o - 2)*(o + 49)/3
Find f, given that 109*f**4/2 + 13845*f**3/2 + 472333*f**2/2 + 2036607*f/2 + 18605 = 0.
-61, -5, -2/109
Solve 3*z**4 - 195*z**3 + 2043*z**2 - 7305*z + 7950 = 0.
2, 5, 53
Factor 2*p**2/11 + 9148*p/11 + 7470.
2*(p + 9)*(p + 4565)/11
Factor -a**2/3 - 359428*a/3 - 32297121796/3.
-(a + 179714)**2/3
Suppose -15*t**3/7 + 26016*t**2/7 + 277521*t/7 - 115170/7 = 0. Calculate t.
-11, 2/5, 1745
Factor -2*f**2/3 + 1040*f/3 + 29750.
-2*(f - 595)*(f + 75)/3
Let 5*t**4 - 1510*t**3 + 145500*t**2 - 4318490*t - 4465505 = 0. What is t?
-1, 61, 121
Let -2*v**2 - 146194*v - 146192 = 0. Calculate v.
-73096, -1
Find s, given that -s**4/4 - 5*s**3 - 67*s**2/4 + 132*s + 540 = 0.
-12, -9, -4, 5
Factor 3*a**2/7 + 153849*a/7 + 769170/7.
3*(a + 5)*(a + 51278)/7
Factor 5*h**2 - 240210*h + 2885042205.
5*(h - 24021)**2
What is j in -2*j**3/3 - 54*j**2 - 1630*j/3 + 598 = 0?
-69, -13, 1
Suppose 2*r**2 - 4872*r + 62998 = 0. What is r?
13, 2423
What is y in -5*y**4/3 - 290*y**3/3 + 1255*y**2/3 + 280*y - 1860 = 0?
-62, -2, 3
Factor 39*q**3 - 4269*q**2 + 1962*q.
3*q*(q - 109)*(13*q - 6)
Factor -y**4/4 - 4279*y**3/2 - 18301281*y**2/4 + 9157060*y - 4579600.
-(y - 1)**2*(y + 4280)**2/4
Determine n, given that 97*n**5/4 - 2837*n**4/4 + 599*n**3/4 + 2837*n**2/4 - 174*n = 0.
-1, 0, 24/97, 1, 29
Factor s**2/8 - 14715*s/8 + 14713/4.
(s - 14713)*(s - 2)/8
Suppose -5*n**4 + 70*n**3 + 1535*n**2 + 5780*n + 4320 = 0. What is n?
-8, -4, -1, 27
Solve 4*u**3/9 - 128*u**2/3 - 1088*u/3 - 6656/9 = 0.
-4, 104
Factor 2*d**3/7 + 376*d**2/7 - 2312*d/7 + 3104/7.
2*(d - 4)*(d - 2)*(d + 194)/7
Suppose 3*p**4/5 - 558*p**3/5 + 3831*p**2 - 38520*p + 34800 = 0. Calculate p.
1, 20, 145
Find k, given that 3*k**2/5 - 1791486*k/5 + 267451840683/5 = 0.
298581
Factor -3*v**2/8 - 330297*v/8.
-3*v*(v + 110099)/8
Suppose -2*d**5/7 - 68*d**4/7 - 656*d**3/7 - 2460*d**2/7 - 450*d = 0. What is d?
-21, -5, -3, 0
Suppose w**5/6 - 11273*w**4/2 - 33821*w**3/2 - 101465*w**2/6 - 5637*w = 0. Calculate w.
-1, 0, 33822
Determine l, given that l**3/2 - 13*l**2/2 - 205*l/2 + 1729/2 = 0.
-13, 7, 19
Find r such that 112*r**3 + 897*r**2 - 1000*r - 9 = 0.
-9, -1/112, 1
Determine t, given that -25*t**5/2 - 2315*t**4/2 + 24840*t**3 + 101300*t**2 + 71080*t - 46200 = 0.
-110, -2, 2/5, 21
Suppose 4*k**2/7 + 15476*k/7 - 15480/7 = 0. What is k?
-3870, 1
Solve -l**3/3 + 66*l**2 - 9929*l/3 + 41344 = 0.
19, 51, 128
Determine w, given that -5*w**4 + 275*w**3 - 5310*w**2 + 42400*w - 119680 = 0.
8, 17, 22
What is y in 17*y**3/5 - 6731*y**2/5 - 396*y/5 = 0?
-1/17, 0, 396
Suppose -5*z**4 - 27600*z**3 + 221035*z**2 - 469830*z + 276400 = 0. What is z?
-5528, 1, 2, 5
Determine h so that -4*h**5 + 828*h**4 - 26600*h**3 - 1738464*h**2 - 9584640*h - 12441600 = 0.
-27, -4, -2, 