j**4 - 78363*j**3 + 285*j**2 + 2328*j + 36 = 0.
-1, -3/20, -1/64, 2/7
Find w such that -5*w**4/4 - 321310*w**3 - 41294118535*w**2/2 + 123891031110*w - 743363537805/4 = 0.
-128527, 3
Factor -2*k**2 - 7276*k + 271950.
-2*(k - 37)*(k + 3675)
Let z**2/3 + 17732*z/3 - 23648 = 0. Calculate z.
-17736, 4
Factor 2*t**2/21 + 498*t/7 + 19084/21.
2*(t + 13)*(t + 734)/21
Determine k so that -k**5/2 - 3*k**4/2 + 183*k**3/2 - 893*k**2/2 + 357*k = 0.
-17, 0, 1, 6, 7
Solve 180*o**2 - 8648*o + 384 = 0 for o.
2/45, 48
Factor -2*c**5/5 + 296*c**4/5 + 45496*c**3/5.
-2*c**3*(c - 242)*(c + 94)/5
Find a such that 2*a**2/7 - 13012*a/7 - 130320/7 = 0.
-10, 6516
Determine b so that b**3/3 + 144*b**2 - 873*b + 1314 = 0.
-438, 3
Let 2*a**4/3 - 18680*a**3/3 + 43617800*a**2/3 = 0. What is a?
0, 4670
What is r in 9*r**2 - 1119*r + 32976 = 0?
48, 229/3
Solve -5*z**2 + 106370*z - 565728845 = 0.
10637
Find x, given that -5*x**4 - 142*x**3 + 727*x**2 - 1044*x + 396 = 0.
-33, 3/5, 2
What is g in g**5/7 + 46590*g**4/7 - 33281*g**3 + 372756*g**2/7 - 186380*g/7 = 0?
-46595, 0, 1, 2
Solve -2*p**5 - 1300*p**4/3 + 25312*p**3/9 - 24772*p**2/9 - 53966*p/9 = 0 for p.
-223, -1, 0, 11/3
Factor v**2/9 + 3035*v + 54626/9.
(v + 2)*(v + 27313)/9
Find u such that -5*u**4 + 122350*u**3 - 748476125*u**2 = 0.
0, 12235
Factor 4*o**2 + 147344*o + 1356890896.
4*(o + 18418)**2
Factor b**4 - 16*b**3 + 36*b**2 + 144*b.
b*(b - 12)*(b - 6)*(b + 2)
Solve v**2 - 6428*v - 6429 = 0.
-1, 6429
Solve 15210*v**4 + 91255*v**3 + 121650*v**2 - 40*v = 0 for v.
-4, -2, 0, 1/3042
Factor 5*i**3 + 11555*i**2 - 857180*i + 1668100.
5*(i - 70)*(i - 2)*(i + 2383)
Factor -2*a**4 - 14744*a**3 - 26757224*a**2 + 1533258048*a - 21628672128.
-2*(a - 28)**2*(a + 3714)**2
Solve 2*x**2/3 - 8652*x + 28071414 = 0 for x.
6489
What is q in -q**2/7 - 34450*q/7 - 296700625/7 = 0?
-17225
Factor 3*n**3 + 99*n**2 - 1128*n - 5904.
3*(n - 12)*(n + 4)*(n + 41)
Let -3*k**3/5 - 174*k**2/5 + 1563*k/5 - 1386/5 = 0. What is k?
-66, 1, 7
Suppose -2*m**3 - 656*m**2 - 13608*m - 44064 = 0. Calculate m.
-306, -18, -4
Solve -2*n**4/9 - 220*n**3/9 + 698*n**2/3 - 5680*n/9 + 3808/9 = 0.
-119, 1, 4
Let -3*p**5 - 1398*p**4 + 5655*p**3 + 7050*p**2 = 0. What is p?
-470, -1, 0, 5
Suppose -4*m**2 + 11700*m - 11696 = 0. Calculate m.
1, 2924
Determine u so that u**3/2 + 193*u**2/6 + 1084*u/3 + 1088 = 0.
-51, -8, -16/3
Suppose 4*k**5 - 104*k**4 + 612*k**3 + 720*k**2 = 0. What is k?
-1, 0, 12, 15
Factor -h**3/4 - 79*h**2/4 - 447*h/4 - 657/4.
-(h + 3)**2*(h + 73)/4
Let -2*x**3/13 + 110*x**2/13 + 3152*x/13 + 3040/13 = 0. Calculate x.
-20, -1, 76
Factor -5*q**2 - 10055*q + 40300.
-5*(q - 4)*(q + 2015)
Determine i, given that -5*i**2/2 - 5490*i + 55025/2 = 0.
-2201, 5
Find l such that -135*l**5 - 2975*l**4 - 15770*l**3 - 23530*l**2 - 10975*l - 375 = 0.
-15, -5, -1, -1/27
Find q such that q**2/6 - 239*q/2 + 64240/3 = 0.
352, 365
Factor -3*i**3/5 + 430254*i**2 + 4302549*i/5 + 2151276/5.
-3*(i - 717092)*(i + 1)**2/5
Determine r, given that 5*r**3/4 - 11095*r**2/4 - 5*r/4 + 11095/4 = 0.
-1, 1, 2219
Factor -5*v**4 + 910*v**3 - 1680*v**2 - 21600*v.
-5*v*(v - 180)*(v - 6)*(v + 4)
Solve 3*o**3/2 - 33795*o**2 + 380565459*o/2 + 761671734 = 0 for o.
-4, 11267
Suppose p**4 + 12076*p**3 + 36433284*p**2 - 145878080*p + 145926400 = 0. What is p?
-6040, 2
Let q**3 + 3986*q**2 + 95088*q = 0. What is q?
-3962, -24, 0
Factor 2*z**5 + 178900*z**4 + 4000472344*z**3 - 8001660304*z**2.
2*z**2*(z - 2)*(z + 44726)**2
Determine v so that 3*v**3 - 48*v**2 + 39*v + 90 = 0.
-1, 2, 15
Solve 2*b**4 + 166*b**3 - 14474*b**2 - 1259110*b - 4794744 = 0 for b.
-83, -4, 87
Determine g, given that -2*g**3/9 + 42844*g**2/9 + 85694*g/9 + 42848/9 = 0.
-1, 21424
Factor l**3/7 + 8874*l**2/7 + 70908*l/7 - 177320/7.
(l - 2)*(l + 10)*(l + 8866)/7
Factor 2*w**3/7 - 1665*w**2/7 - 34994*w/7 + 2559.
(w - 853)*(w + 21)*(2*w - 1)/7
Determine z so that z**5/5 - 8*z**4/5 - 391*z**3/5 + 1082*z**2/5 + 8364*z + 145656/5 = 0.
-14, -6, 17
Factor 36*q**3 - 1484*q**2 - 13600*q - 28352.
4*(q + 4)**2*(9*q - 443)
Suppose l**4/4 + 31*l**3/2 + 333*l**2/4 - 1539*l - 10935 = 0. Calculate l.
-54, -9, 10
Determine a, given that 3*a**4 + 36*a**3 - 867*a**2 - 36*a + 864 = 0.
-24, -1, 1, 12
Let 20*b**5/3 - 66008*b**4/3 + 487528*b**3/3 - 540016*b**2/3 - 39540*b + 79032 = 0. What is b?
-3/5, 1, 6, 3293
Let -10*c**3 + 317636*c**2 - 1143344*c - 508160 = 0. What is c?
-2/5, 4, 31760
Let 45*v**4 - 3660*v**3 + 11585*v**2 + 8950*v + 1560 = 0. Calculate v.
-1/3, 4, 78
Suppose -385*a**4 - 5010*a**3 + 24960*a**2 - 19310*a - 255 = 0. Calculate a.
-17, -1/77, 1, 3
Factor -2*r**3/11 + 11216*r**2/11 - 16685672*r/11 + 2651686560/11.
-2*(r - 2714)**2*(r - 180)/11
Find q such that 3*q**3 - 921*q**2 + 56613*q + 2259009 = 0.
-27, 167
Factor -3*w**2 - 2784*w - 11088.
-3*(w + 4)*(w + 924)
What is s in -2*s**2/5 - 504*s/5 - 4040 = 0?
-202, -50
Factor -q**2/2 + 91105*q - 8300121025/2.
-(q - 91105)**2/2
Factor 5*k**4 - 43015*k**3 + 43000*k**2 + 86020*k.
5*k*(k - 8602)*(k - 2)*(k + 1)
Find f, given that -f**4/2 - 2651*f**3 - 7027801*f**2/2 = 0.
-2651, 0
Factor -6*b**3 + 10051*b**2 + 8381*b - 1676.
-(b - 1676)*(b + 1)*(6*b - 1)
Find z such that -3*z**2 + 83958*z + 83961 = 0.
-1, 27987
Suppose 3*o**2 - 57633*o + 57630 = 0. What is o?
1, 19210
Factor -5*n**3 - 9930*n**2 + 9945*n + 19870.
-5*(n - 2)*(n + 1)*(n + 1987)
Factor 2*d**3/9 + 4910*d**2/9 + 1043402*d/3 + 15758498.
2*(d + 49)*(d + 1203)**2/9
Factor 2*p**2/9 + 6496*p/3 - 19490/9.
2*(p - 1)*(p + 9745)/9
What is v in 3*v**4 - 1950*v**3 + 364392*v**2 - 3833346*v - 3065457099 = 0?
-73, 241
Factor -w**4/3 - 70*w**3/3 + 659*w**2/3 + 812*w - 7644.
-(w - 7)**2*(w + 6)*(w + 78)/3
Factor 2*u**2/3 - 24082*u/3 - 48188.
2*(u - 12047)*(u + 6)/3
Determine i so that -4*i**3 + 6124*i**2 - 6112*i - 12240 = 0.
-1, 2, 1530
Factor -2*y**3 + 82*y**2 - 604*y + 896.
-2*(y - 32)*(y - 7)*(y - 2)
Determine u so that 5*u**4 - 42515*u**3 + 90354990*u**2 + 90482560*u - 180795040 = 0.
-2, 1, 4252
Suppose -2*v**2/3 - 40328*v/3 + 403480/3 = 0. What is v?
-20174, 10
Solve 3*h**3 - 54*h**2 - 903*h - 1566 = 0.
-9, -2, 29
Factor -3*g**3/4 + 3891*g**2/2 - 23238*g.
-3*g*(g - 2582)*(g - 12)/4
Determine z so that -2*z**2 - 2253780*z - 634940536050 = 0.
-563445
Suppose 98*q**4/13 + 67074*q**3/13 + 11307318*q**2/13 - 58225690*q/13 = 0. Calculate q.
-2413/7, 0, 5
Find j, given that -2*j**2/9 - 59770*j/9 - 159344/3 = 0.
-29877, -8
Determine x so that 2*x**4/15 - 174*x**3/5 + 8222*x**2/15 + 6006*x/5 + 9272/15 = 0.
-1, 19, 244
Factor -y**3 + 2667*y**2 - 1969095*y + 247278925.
-(y - 1255)**2*(y - 157)
Determine x so that -39*x**4 + 4068*x**3 + 29055*x**2 - 9324*x = 0.
-7, 0, 4/13, 111
Factor 25*d**2 + 224*d - 9.
(d + 9)*(25*d - 1)
Determine u, given that 5*u**2 + 49160*u - 147525 = 0.
-9835, 3
Factor j**4/2 - 106*j**3 - 1099*j**2/2 + 1519*j.
j*(j - 217)*(j - 2)*(j + 7)/2
Find x such that -x**2/10 - 153*x/10 + 163 = 0.
-163, 10
Find d such that -3*d**2 + 45168*d - 45165 = 0.
1, 15055
Let 5*c**3 + 3090*c**2 + 56905*c = 0. Calculate c.
-599, -19, 0
Factor -g**2/2 + 101*g + 76235/2.
-(g - 395)*(g + 193)/2
Factor -i**3/3 - 442*i**2/3 - 6455*i/3 - 21350/3.
-(i + 5)*(i + 10)*(i + 427)/3
Solve 2*k**2/9 + 14174*k/3 + 85036/9 = 0 for k.
-21259, -2
Suppose 70*x**5 + 3716*x**4/3 - 33790*x**3/3 + 18656*x**2 - 32024*x/3 + 5920/3 = 0. Calculate x.
-74/3, 2/5, 4/7, 1, 5
Factor 36*c**2 + 10370*c + 576.
2*(c + 288)*(18*c + 1)
Find s, given that -1129*s**4 + 79028*s**3 + 504803*s**2 + 773130*s + 1368 = 0.
-3, -2/1129, 76
Factor -f**4/3 - 30164*f**3/3 + 120668*f**2/3 - 40224*f.
-f*(f - 2)**2*(f + 30168)/3
Factor -4*n**2 + 412*n + 1712.
-4*(n - 107)*(n + 4)
Suppose -5*t**2 - 1425*t + 4320 = 0. Calculate t.
-288, 3
Determine r so that -51*r**5 - 579*r**4 - 2187*r**3 - 3201*r**2 - 1902*r - 360 = 0.
-5, -4, -1, -6/17
Factor -4*t**3 + 1904*t**2 + 105616*t - 218816.
-4*(t - 526)*(t - 2)*(t + 52)
Suppose -3*i**5/2 + 59405*i**4/2 - 158393*i**3/2 + 19791*i**2/2 + 79198*i - 39598 = 0. What is i?
-1, 2/3, 1, 2, 19799
Factor -3*v**2 - 1293*v - 39402.
-3*(v + 33)*(v + 398)
Let 5*v**2 + 377690*v + 7132486805 = 0. Calculate v.
-37769
Find r such that r**5 - 230*r**4 + 12988*r**3 + 27832*r**2 - 51968*r - 107648 = 0.
-2, 2, 116
Let g**2 + 3201096*g + 2561753900304 = 0. Calculate g.
-1600548
Factor