3
Factor -2*d**3/7 + 194*d**2/7 - 2350*d/7 + 2158/7.
-2*(d - 83)*(d - 13)*(d - 1)/7
Factor -a**3/6 - 92*a**2/3 - 1711*a/2 - 825.
-(a + 1)*(a + 33)*(a + 150)/6
Suppose 3*p**2 - 18435*p - 73788 = 0. Calculate p.
-4, 6149
Find x, given that -18*x**5 - 706*x**4 + 60*x**3 + 8184*x**2 - 9424*x - 2496 = 0.
-39, -4, -2/9, 2
Determine v, given that -2523*v**2/5 - 611784*v/5 - 37086768/5 = 0.
-3516/29
Solve 2*t**3/9 + 24*t**2 + 856*t/3 - 104576/9 = 0 for t.
-86, -38, 16
Suppose -f**2/12 - 1261*f/12 - 59555/2 = 0. What is f?
-831, -430
Factor 101*v**2/2 + 646*v/3 + 160/3.
(v + 4)*(303*v + 80)/6
Suppose 15*k**5 + 248275*k**4 - 1572840*k**3 + 2814840*k**2 - 331280*k - 1986960 = 0. What is k?
-16558, -2/3, 2, 3
Suppose -1694322*m**4/11 + 1170848*m**3/11 - 254512*m**2/11 + 16768*m/11 - 32/11 = 0. What is m?
2/1017, 2/17, 2/7
Factor -u**3/8 + 1023*u**2/8 - 4079*u/8 + 3057/8.
-(u - 1019)*(u - 3)*(u - 1)/8
Find l such that -3*l**2/8 + 9915*l/4 + 59517/8 = 0.
-3, 6613
Factor 3*x**4/7 + 1293*x**3/7 + 183261*x**2/7 + 8564499*x/7.
3*x*(x + 127)**2*(x + 177)/7
Factor 4*o**2/7 - 1536*o + 527600/7.
4*(o - 2638)*(o - 50)/7
Determine r, given that -2*r**2/23 - 770*r/23 + 9528/23 = 0.
-397, 12
Determine k so that -3*k**4 - 402*k**3 - 12792*k**2 = 0.
-82, -52, 0
Let 33*w**4 - 77790*w**3 + 45892533*w**2 - 58303932*w + 12489156 = 0. What is w?
3/11, 1, 1178
Solve 3*a**4/4 - 12831*a**3/2 - 77058*a**2 - 308328*a - 411168 = 0 for a.
-4, 8566
Factor -3*m**2 + 7302*m.
-3*m*(m - 2434)
Let o**4/4 + 68205*o**3/2 - 682067*o**2/4 + 272829*o - 136415 = 0. Calculate o.
-136415, 1, 2
Determine c, given that 5*c**2 - 3195*c + 9540 = 0.
3, 636
What is o in 5*o**4 + 595*o**3 - 10885*o**2 - 11475*o = 0?
-135, -1, 0, 17
Find v, given that -12*v**4 - 280*v**3 + 928*v**2 + 10840*v + 3500 = 0.
-25, -5, -1/3, 7
Factor 11*z**3/4 - 1299*z**2/4 - 12455*z/4 + 1143/4.
(z - 127)*(z + 9)*(11*z - 1)/4
Determine x, given that -x**5 - 804*x**4 - 159980*x**3 + 656080*x**2 + 639936*x - 2611456 = 0.
-404, -2, 2, 4
Determine u so that -7*u**5/6 + 43*u**4/6 + 259*u**3/6 + 137*u**2/6 - 42*u - 30 = 0.
-3, -1, -6/7, 1, 10
Determine n so that -n**2/5 - 51746*n/5 - 103488/5 = 0.
-51744, -2
Suppose 5*s**2 + 420565*s + 1682180 = 0. Calculate s.
-84109, -4
Let -v**3/5 - 543*v**2/5 - 11583*v/5 - 63041/5 = 0. Calculate v.
-521, -11
Find y, given that -3*y**2/5 - 22098*y/5 - 4419 = 0.
-7365, -1
Solve v**3 - 137817*v**2 = 0.
0, 137817
Factor 5*t**4 + 455*t**3 - 3430*t**2.
5*t**2*(t - 7)*(t + 98)
Factor x**2/10 - 1158242*x/5 + 670762265282/5.
(x - 1158242)**2/10
Find u, given that 2*u**5/15 - 24*u**4 + 5728*u**3/15 - 30668*u**2/15 + 19082*u/5 - 31948/15 = 0.
1, 2, 7, 163
Factor 2*i**2 + 8820*i - 26478.
2*(i - 3)*(i + 4413)
Suppose -6*t**3/7 - 894*t**2/7 + 30648*t/7 - 57672/7 = 0. Calculate t.
-178, 2, 27
Solve -8*x**5/3 + 1102*x**4/3 - 12230*x**3 - 86800*x**2/3 - 49000*x/3 = 0.
-5/4, -1, 0, 70
Determine l so that -l**5/2 + 51*l**4 - 1000*l**3 - 15600*l**2 = 0.
-10, 0, 52, 60
Find j such that j**5/3 - 60*j**4 - 784*j**3/3 + 8944*j**2/3 - 6896*j + 14720/3 = 0.
-10, 2, 184
Find m such that 2*m**4 - 3312*m**3 + 36190*m**2 = 0.
0, 11, 1645
Find v, given that -5*v**3/4 + 585*v**2/2 - 2325*v/4 + 290 = 0.
1, 232
Factor b**2/11 + 457374*b/11 + 52297743969/11.
(b + 228687)**2/11
Solve 5*a**4 + 485*a**3 + 10885*a**2 - 36125*a + 24750 = 0.
-55, -45, 1, 2
Find b such that -2*b**5/13 + 534*b**4/13 + 7184*b**3/13 + 26808*b**2/13 + 20160*b/13 = 0.
-6, -1, 0, 280
Factor -n**2 - 7355*n + 22074.
-(n - 3)*(n + 7358)
Find j, given that -3*j**2 - 300*j - 1425 = 0.
-95, -5
Factor -4*m**3 - 9416*m**2 - 351712*m + 741120.
-4*(m - 2)*(m + 40)*(m + 2316)
Factor -3*l**3 - 5151*l**2 + 10311*l - 5157.
-3*(l - 1)**2*(l + 1719)
Let a**5 - 9*a**4 + 4*a**3 + 36*a**2 - 32*a = 0. What is a?
-2, 0, 1, 2, 8
Let -6591*y**5/4 - 296257*y**4/2 + 30615*y**3/2 + 8784*y**2 + 3241*y/4 + 45/2 = 0. What is y?
-90, -1/13, 1/3
Let 6*u**5 + 321*u**4 + 2178*u**3 + 5073*u**2 + 4866*u + 1656 = 0. Calculate u.
-46, -4, -3/2, -1
Factor -2*u**3/15 - 3982*u**2/15 - 41792*u/5.
-2*u*(u + 32)*(u + 1959)/15
Suppose -2*s**4 + 104*s**3 + 462*s**2 - 764*s - 1120 = 0. Calculate s.
-5, -1, 2, 56
Factor -2*s**4/7 - 34508*s**3/7 - 69010*s**2/7 - 34504*s/7.
-2*s*(s + 1)**2*(s + 17252)/7
What is h in 15*h**5 - 6954*h**4 - 23769*h**3 - 22404*h**2 - 5604*h = 0?
-2, -1, -2/5, 0, 467
Let 2*i**2 + 3216*i + 35134 = 0. What is i?
-1597, -11
Solve 5*o**3 + 390*o**2 + 3445*o + 3060 = 0.
-68, -9, -1
Suppose 837*u**5/7 + 7071*u**4/7 + 2772*u**3 + 18876*u**2/7 + 3312*u/7 = 0. Calculate u.
-4, -69/31, -2, -2/9, 0
Suppose -4*b**3 - 1144*b**2 - 25728*b - 150912 = 0. Calculate b.
-262, -12
Solve -52*l**3 - 544*l**2/3 - 180*l - 152/3 = 0 for l.
-2, -1, -19/39
Factor -684*j**3 - 6841*j**2/5 - 3422*j/5 - 1/5.
-(j + 1)**2*(3420*j + 1)/5
Factor -k**3 - 50*k**2 - 172*k + 552.
-(k - 2)*(k + 6)*(k + 46)
Let 3*u**4 - 60*u**3 - 45774*u**2 + 91716*u - 45885 = 0. Calculate u.
-115, 1, 133
Factor -547805*g**5 - 33100*g**4 - 500*g**3.
-5*g**3*(331*g + 10)**2
Determine y so that y**3/2 - 163*y**2/2 + 397*y - 316 = 0.
1, 4, 158
Solve -2*u**2 + 16040*u - 16038 = 0.
1, 8019
What is s in -2*s**4/7 - 270*s**3/7 - 5916*s**2/7 + 267520*s/7 + 2703168/7 = 0?
-76, -9, 26
Let b**3/4 - 129*b**2/4 + 251*b/4 + 381/4 = 0. What is b?
-1, 3, 127
Suppose 4*b**4 + 5064*b**3 - 35604*b**2 + 50920*b = 0. Calculate b.
-1273, 0, 2, 5
Determine p so that p**4 + 1257*p**3/4 + 2023*p**2/2 + 933*p/4 = 0.
-311, -3, -1/4, 0
Factor 6*v**4/5 + 3609*v**3/5 + 7128*v**2 - 179240688*v/5.
3*v*(v + 396)**2*(2*v - 381)/5
Suppose -4*s**2 - 14852*s = 0. What is s?
-3713, 0
Factor -m**3 - 1095*m**2 - 59166*m.
-m*(m + 57)*(m + 1038)
Let -20*r**4 - 17065*r**3 - 4843575*r**2 - 454453875*r + 810219375 = 0. What is r?
-285, 7/4
Let 3*u**2/2 - 185220*u + 5717741400 = 0. Calculate u.
61740
Suppose 2*m**5/5 + 94*m**4/5 + 1022*m**3/5 - 2814*m**2/5 - 21024*m/5 - 3456 = 0. What is m?
-24, -3, -1, 5
Factor 2*w**2 + 526676*w.
2*w*(w + 263338)
Solve 2*a**2/13 + 1580*a/13 + 232848/13 = 0.
-594, -196
Factor 2*i**3 - 75612*i**2 - 151230*i - 75616.
2*(i - 37808)*(i + 1)**2
Find p such that -14*p**5 - 3588*p**4 - 244064*p**3 - 1791552*p**2 - 492032*p = 0.
-124, -8, -2/7, 0
Let 4*x**2/3 + 72552*x + 986961132 = 0. Calculate x.
-27207
Factor f**3/10 - 71*f**2/10 + 1279*f/10 - 1209/10.
(f - 39)*(f - 31)*(f - 1)/10
Determine s so that 5*s**5 + 135*s**4 - 205*s**3 - 1695*s**2 + 3440*s - 1680 = 0.
-28, -4, 1, 3
Solve n**3/5 - 23702*n**2/5 + 28079757*n + 561974436/5 = 0.
-4, 11853
Factor -i**3/2 + 2*i**2 + 2781*i/2 + 6840.
-(i - 57)*(i + 5)*(i + 48)/2
Factor 3*v**3 - 342*v**2 + 6480*v.
3*v*(v - 90)*(v - 24)
Find t, given that -2*t**2/17 - 4566*t/17 - 1162744/17 = 0.
-1991, -292
Find w such that w**5/4 - 1207*w**4/4 + 185395*w**3/2 - 992381*w**2 + 2682030*w = 0.
0, 5, 6, 598
Find s, given that 36*s**4 - 14061531*s**3 + 1373102350227*s**2 - 114423926409*s - 114425098203 = 0.
-1/4, 1/3, 195299
Determine z so that 20*z**5 + 15000*z**4 + 2582305*z**3 - 88051945*z**2 - 10329540*z + 351967780 = 0.
-779/2, -2, 2, 29
Suppose -2*c**5/9 - 20*c**4/9 + 1288*c**3/9 + 880*c**2/3 = 0. What is c?
-30, -2, 0, 22
Let t**4 - 777*t**3 + 108407*t**2 + 17517885*t + 17408700 = 0. Calculate t.
-92, -1, 435
Solve 3*u**2/2 - 411*u/2 + 5643 = 0.
38, 99
Factor -3*i**2 - 618*i - 30960.
-3*(i + 86)*(i + 120)
Factor -k**3/7 + 56457*k**2/7 + 1016469*k/7 + 4574475/7.
-(k - 56475)*(k + 9)**2/7
Factor -3*n**3/7 - 18*n**2/7 + 237*n/7 + 36.
-3*(n - 7)*(n + 1)*(n + 12)/7
Solve 3*d**2 + 8194782*d + 5596204335627 = 0 for d.
-1365797
Solve 2*x**2/5 - 1976*x/5 + 140294/5 = 0.
77, 911
Let 2*f**3 - 5006*f**2 = 0. Calculate f.
0, 2503
Suppose -2*g**5 - 762*g**4 - 94548*g**3 - 3913268*g**2 - 7545930*g - 3726450 = 0. What is g?
-169, -105, -1
Let c**2/6 - 361*c/3 - 1701/2 = 0. Calculate c.
-7, 729
Factor 2*u**4/9 + 32*u**3/9 - 598*u**2/3.
2*u**2*(u - 23)*(u + 39)/9
Factor -2*r**3 + 958*r**2 - 12780*r - 111600.
-2*(r - 465)*(r - 20)*(r + 6)
Suppose n**2/3 - 79844*n/3 - 106464 = 0. What is n?
-4, 79848
Solve -3*n**3 + 98742*n**2 - 812695995*n + 3249204300 = 0.
4, 16455
Find h, given that -6*h**5/5 + 81*h**4 + 14874*h**3/5 + 6927*h**2/5 - 14868*h/5 - 7332/5 = 0.
-26, -1, -1/2, 1, 94
Factor -49*f**3/5 + 8764*f**2/5 - 1497*f + 1602/5.
-(