z**3 + 28620*z**2 - 113832*z + 172368 = 0. What is z?
6, 7, 57
Solve o**3/6 + 5159*o**2 - 154789*o/6 + 30959 = 0.
-30959, 2, 3
Factor -3*j**3/4 - 39*j**2 - 1287*j/4 - 567/2.
-3*(j + 1)*(j + 9)*(j + 42)/4
Find b, given that -5*b**2/6 - 18755*b/6 + 113610 = 0.
-3787, 36
Find p such that 2*p**2 - 333904*p + 333902 = 0.
1, 166951
Factor -2*v**2/7 - 81248*v/7 - 162488/7.
-2*(v + 2)*(v + 40622)/7
Suppose q**4/5 + 7056*q**3/5 + 49343*q**2/5 = 0. What is q?
-7049, -7, 0
Suppose -3*a**3 + 26391*a**2 - 57974373*a - 290532015 = 0. Calculate a.
-5, 4401
Let -124*c**2 + 3328*c - 20880 = 0. What is c?
10, 522/31
Factor j**4/3 + 2663*j**3/3 + 598437*j**2 + 9918531*j.
j*(j + 17)*(j + 1323)**2/3
Factor m**3/5 + 467*m**2/5 + 1852*m/5.
m*(m + 4)*(m + 463)/5
Suppose 2*h**2/7 + 1168516*h/7 + 170678705282/7 = 0. What is h?
-292129
Solve -2*q**4 + 5054*q**3 - 3200436*q**2 + 9565960*q - 6370576 = 0 for q.
1, 2, 1262
What is d in 3*d**2 + 60462*d + 120912 = 0?
-20152, -2
Solve -2*y**2/3 + 1126*y - 83772 = 0 for y.
78, 1611
Factor -j**2/2 - 327*j/2 + 6734.
-(j - 37)*(j + 364)/2
Factor 6*n**2 - 3431*n - 572.
(n - 572)*(6*n + 1)
Determine j so that -j**5/2 - 627*j**4/2 - 91407*j**3/2 + 2179243*j**2/2 - 2040876*j + 997272 = 0.
-324, 1, 19
Solve -2*u**4/3 + 130*u**3 + 7208*u**2/3 = 0 for u.
-17, 0, 212
Let -34*u**3/7 + 496*u**2/7 - 184*u/7 - 192 = 0. What is u?
-24/17, 2, 14
Factor c**3 + 82*c**2/3 + 101*c + 92/3.
(c + 4)*(c + 23)*(3*c + 1)/3
Suppose 5*y**4 - 245*y**3 - 1160*y**2 + 5060*y + 12720 = 0. Calculate y.
-6, -2, 4, 53
Factor j**2/2 - 791247*j/2 - 395624.
(j - 791248)*(j + 1)/2
What is a in 2*a**4/7 + 14650*a**3/7 + 14648*a**2/7 = 0?
-7324, -1, 0
Suppose -2*g**2 + 151118*g + 302244 = 0. What is g?
-2, 75561
Find r, given that -2*r**2/19 + 424420*r/19 + 22338 = 0.
-1, 212211
Factor 2*a**3/7 + 214*a**2/7 - 7746*a/7 - 25110/7.
2*(a - 31)*(a + 3)*(a + 135)/7
Suppose -2*t**2/5 - 142*t/5 + 292/5 = 0. Calculate t.
-73, 2
Let 4910656*n**4 - 294648224*n**3 + 531844*n**2 - 240*n = 0. Calculate n.
0, 1/1108, 60
Factor -5*i**3 + 16*i**2 + 143*i - 310.
-(i - 2)*(i + 5)*(5*i - 31)
Solve 3*p**2 - 21207*p - 361386 = 0.
-17, 7086
Let -s**4 - 130706*s**3 - 4270491753*s**2 + 34170208168*s - 68344599184 = 0. What is s?
-65357, 4
Factor -2*a**3 - 1440*a**2 - 286794*a - 9653364.
-2*(a + 42)*(a + 339)**2
Factor 5*k**3 + 840*k**2 + 12285*k - 83050.
5*(k - 5)*(k + 22)*(k + 151)
Solve 2*i**4/3 - 2050*i**3/3 + 4756*i**2 - 16256*i/3 - 32576/3 = 0 for i.
-1, 4, 1018
Factor -4*b**2 - 2964*b + 8928.
-4*(b - 3)*(b + 744)
Factor 4*f**2 + 33928*f - 1192380.
4*(f - 35)*(f + 8517)
Suppose -2*s**2 + 37596*s - 176682402 = 0. What is s?
9399
Factor p**2/3 - 49*p/3 - 1700.
(p - 100)*(p + 51)/3
Factor -m**3/2 - 103*m**2 + 1069*m/2 + 1477.
-(m - 7)*(m + 2)*(m + 211)/2
Solve 3*h**5/7 - 207*h**4/7 + 2187*h**3/7 - 7857*h**2/7 + 9234*h/7 = 0.
0, 3, 6, 57
What is n in -2*n**2 - 11289*n + 5645 = 0?
-5645, 1/2
Suppose 3*a**2 + 308838*a + 7948409187 = 0. What is a?
-51473
Factor -3*f**3 - 103*f**2 + 7211*f + 2415.
-(f - 35)*(f + 69)*(3*f + 1)
Find x, given that 212*x**5/5 - 1610*x**4 + 88812*x**3/5 - 80584*x**2/5 - 2329264*x/5 - 65856/5 = 0.
-4, -3/106, 14
Let 5*i**5 - 2055*i**4 - 12465*i**3 - 18785*i**2 + 8280*i + 25020 = 0. What is i?
-3, -2, 1, 417
Solve -x**3/4 - 309*x**2/4 - 7140*x - 171088 = 0 for x.
-136, -37
Factor -5*c**3 - 1245*c**2 + 95810*c - 186600.
-5*(c - 60)*(c - 2)*(c + 311)
Let v**3/2 - 319*v**2/2 - 1302*v - 1962 = 0. Calculate v.
-6, -2, 327
Determine z so that -21*z**5/8 - 309*z**4/8 - 795*z**3/8 + 969*z**2/8 + 399*z + 429/2 = 0.
-11, -26/7, -1, 2
Suppose 5*c**3/4 + 87155*c**2/4 + 348380*c + 1393200 = 0. What is c?
-17415, -8
Suppose -3*p**5 + 987*p**4 - 1962*p**3 - 6*p**2 + 1965*p - 981 = 0. Calculate p.
-1, 1, 327
Determine o, given that 2*o**2/3 - 4750*o + 227488/3 = 0.
16, 7109
Factor -w**4 + 1723*w**3 + 12102*w**2 + 13856*w - 27680.
-(w - 1730)*(w - 1)*(w + 4)**2
Find d such that -625*d**2/3 + 1387700*d/3 - 770284516/3 = 0.
27754/25
Solve -m**3 - 1494*m**2 + 15031*m - 13536 = 0.
-1504, 1, 9
Factor 2*g**2/5 + 251962*g/5.
2*g*(g + 125981)/5
Let -3*s**3 + 492*s**2 + 4671*s = 0. What is s?
-9, 0, 173
What is i in -3*i**5/4 - 135*i**4/2 + 1737*i**3/4 + 174*i**2 - 3996*i + 3456 = 0?
-96, -3, 1, 4
Solve 4*y**4 + 1944*y**3 + 144480*y**2 + 3869824*y + 35298816 = 0.
-402, -28
Factor 2*o**4/7 - 11896*o**3/7 + 17902184*o**2/7 - 632962368*o/7 + 5662182528/7.
2*(o - 2956)**2*(o - 18)**2/7
Determine q, given that -2*q**5/3 + 724*q**4/3 - 23016*q**3 + 639280*q**2/3 - 1751552*q/3 + 495616 = 0.
2, 6, 176
Factor 19*v**4/3 + 74*v**3/3 - 863*v**2/3 + 30*v.
v*(v - 5)*(v + 9)*(19*v - 2)/3
Suppose -4*q**5 + 400*q**4 - 11868*q**3 + 83504*q**2 + 248512*q - 1208064 = 0. What is q?
-4, 3, 13, 44
Find u such that 5*u**3/4 - 300859*u**2/2 + 361027*u/4 + 120343/2 = 0.
-2/5, 1, 120343
Let 3*k**3/5 + 249*k**2/5 + 2898*k/5 - 11016/5 = 0. Calculate k.
-68, -18, 3
Find r such that 2*r**2/9 + 50804*r/3 + 322630802 = 0.
-38103
Factor 2*b**3/19 + 136*b**2/19 + 744*b/19.
2*b*(b + 6)*(b + 62)/19
Determine h, given that 1223*h**2 + h = 0.
-1/1223, 0
Solve -5*n**4 + 132*n**3 + 135*n**2 - 1514*n + 1512 = 0.
-4, 7/5, 2, 27
Find j such that 2*j**5 - 3634*j**4/3 - 1684*j**3 + 119284*j**2/3 - 63086*j - 25494 = 0.
-7, -1/3, 3, 607
Let n**3/4 + 8*n**2 + 29*n - 260 = 0. Calculate n.
-26, -10, 4
Factor n**2/6 - 41*n/6 - 880.
(n - 96)*(n + 55)/6
Solve 12*x**2 - 4236*x + 373827 = 0.
353/2
Suppose 63*t**4 + 2838*t**3 + 30564*t**2 - 31878*t - 1587 = 0. What is t?
-23, -1/21, 1
Find j such that 148*j**2 - 8156*j + 880 = 0.
4/37, 55
Suppose 23*s**2/3 - 1057*s - 138 = 0. Calculate s.
-3/23, 138
Determine d so that -6*d**2/11 + 15852*d/11 = 0.
0, 2642
What is o in -o**5 - 45*o**4 - 243*o**3 - 347*o**2 + 168*o + 468 = 0?
-39, -3, -2, 1
Factor -3*x**3 + 1362*x**2 - 81363*x - 82728.
-3*(x - 383)*(x - 72)*(x + 1)
Find a such that -3*a**2 - 174*a - 2160 = 0.
-40, -18
Find c such that 2*c**2/11 + 10554*c/11 - 84560/11 = 0.
-5285, 8
Suppose 2*b**3/9 - 514*b**2/9 + 2444*b/3 - 1936 = 0. Calculate b.
3, 12, 242
Suppose -p**2/3 - 423*p + 7722 = 0. What is p?
-1287, 18
Factor 4*b**3/5 - 26952*b**2/5 + 9090900*b - 181387024/5.
4*(b - 3367)**2*(b - 4)/5
Factor -243*d**3/4 + 1088829*d**2/2 + 241971*d + 26886.
-3*(d - 8962)*(9*d + 2)**2/4
Suppose 5*l**2 + 1785*l + 8800 = 0. Calculate l.
-352, -5
Factor -5*k**3 + 7870*k**2 + 103155*k.
-5*k*(k - 1587)*(k + 13)
Factor -2*v**5/7 + 118*v**4/7 - 1030*v**3/7 + 350*v**2.
-2*v**2*(v - 49)*(v - 5)**2/7
Let 3*y**5/8 + 45*y**4/4 + 393*y**3/8 + 225*y**2/4 = 0. Calculate y.
-25, -3, -2, 0
Factor -3*q**2 + 18402*q - 28219467.
-3*(q - 3067)**2
Let 2*p**2/15 - 1383052*p/3 + 1195520521690/3 = 0. Calculate p.
1728815
Factor j**4/3 - 4188*j**3 + 13154508*j**2.
j**2*(j - 6282)**2/3
Factor j**3/4 - 54453*j**2/2 + 217809*j/4 - 27226.
(j - 108904)*(j - 1)**2/4
Suppose -12*k**4 - 128*k**3 - 172*k**2 + 72*k = 0. What is k?
-9, -2, 0, 1/3
What is w in -361*w**3/2 - 48982*w**2 - 3323042*w = 0?
-2578/19, 0
Factor -20*b**2 - 67835*b + 16960.
-5*(b + 3392)*(4*b - 1)
Suppose -4*d**5 - 32*d**4 + 396*d**3 - 488*d**2 - 1792*d + 1920 = 0. What is d?
-15, -2, 1, 4
Factor 4*w**2/7 - 178640*w + 13961609200.
4*(w - 156310)**2/7
Suppose 2*c**4/7 - 628*c**3/7 + 790*c**2 - 12200*c/7 = 0. Calculate c.
0, 4, 5, 305
What is f in 2*f**5 - 49576*f**4/3 + 34339050*f**3 - 839633628*f**2 + 5430753216*f - 3257502912 = 0?
2/3, 12, 4119
Factor i**2/8 - 4169*i/4 + 25005/8.
(i - 8335)*(i - 3)/8
Factor -3*z**3 + 4314*z**2 - 1355508*z + 122551704.
-3*(z - 1042)*(z - 198)**2
Factor 20*a**2 - 4784*a + 18816.
4*(a - 4)*(5*a - 1176)
Solve -44*a**3 - 96*a**2 + 108*a = 0 for a.
-3, 0, 9/11
Solve m**5 + 28*m**4 + 173*m**3 - 262*m**2 - 408*m = 0.
-17, -12, -1, 0, 2
Determine x so that -2*x**4/7 + 306*x**3/7 - 8040*x**2/7 + 8296*x = 0.
0, 14, 17, 122
Determine i, given that -35*i**5 - 3805*i**4 + 8860*i**3 - 2220*i**2 = 0.
-111, 0, 2/7, 2
Determine x, given that x**4 + 38*x**3 + 59*x**2 - 458*x + 360 = 0.
-36, -5, 1, 2
Determine d so that -2*d**4/3 - 2278*d**3 - 31794*d**2 - 333494*d/3 = 0.
-3403, -7, 0
Determine x so that 2*x**3 + 492*x**2 + 40290*x + 1098416 = 0.
-88, -79
Determine y, given that 7*y**3/3 - 90880*y**2/3 + 98306192*y + 112389504 = 0.
-8/7, 6492
Suppose a**2