or -z**2/2 - 21*z + 43/2.
-(z - 1)*(z + 43)/2
Determine r so that -5*r**2 + 150*r - 145 = 0.
1, 29
What is l in 146*l**2/7 - 156*l/7 + 10/7 = 0?
5/73, 1
Determine s so that -3*s**3/7 + 9*s**2/7 + 72*s/7 + 12 = 0.
-2, 7
Factor 4*c**4/3 - 52*c**3/3 + 200*c**2/3 - 128*c/3 - 128.
4*(c - 6)*(c - 4)**2*(c + 1)/3
Factor -2*a**4/5 + 24*a**3/5 - 72*a**2/5 + 64*a/5.
-2*a*(a - 8)*(a - 2)**2/5
Determine l so that l**2/4 - 47*l/4 - 159/2 = 0.
-6, 53
Factor 3*o**5 - 18*o**4 + 15*o**3.
3*o**3*(o - 5)*(o - 1)
Factor 3*n**4/2 - 3*n**2/2.
3*n**2*(n - 1)*(n + 1)/2
Let r**4/3 - 11*r**3/3 - 46*r**2/3 + 56*r/3 = 0. Calculate r.
-4, 0, 1, 14
Factor -13*t**3/4 + 34*t**2 - 385*t/4 + 75/2.
-(t - 5)**2*(13*t - 6)/4
Solve h**3 + 8*h**2/3 - 4*h - 32/3 = 0.
-8/3, -2, 2
Find n, given that n**3 - 11*n**2 + 24*n + 36 = 0.
-1, 6
Factor x**2 + 4*x - 5.
(x - 1)*(x + 5)
Factor 2*d**3/9 - 86*d**2/3 - 2*d/9 + 86/3.
2*(d - 129)*(d - 1)*(d + 1)/9
Factor -2*h**4/5 - 18*h**3/5 - 52*h**2/5 - 48*h/5.
-2*h*(h + 2)*(h + 3)*(h + 4)/5
Factor 5*i**3 - 80*i**2 - 20*i + 320.
5*(i - 16)*(i - 2)*(i + 2)
Let -m**2 - 59*m - 408 = 0. Calculate m.
-51, -8
Factor -y**2/5 - 58*y - 4205.
-(y + 145)**2/5
Let g**2 + 207*g + 206 = 0. Calculate g.
-206, -1
Find r, given that -4*r**2/3 + 19*r/6 - 1 = 0.
3/8, 2
Factor 2*z**4/5 + 124*z**3/5 - 384*z**2/5 + 388*z/5 - 26.
2*(z - 1)**3*(z + 65)/5
Determine z, given that -z**5 - 88*z**4 - 2610*z**3 - 26912*z**2 - 24389*z = 0.
-29, -1, 0
Suppose -2*v**2 - 16*v + 18 = 0. What is v?
-9, 1
Factor -3*p**3 - 24*p**2 - 63*p - 54.
-3*(p + 2)*(p + 3)**2
Find d such that 3*d**5 - 9*d**4 - 1515*d**3 + 17745*d**2 - 42588*d + 26364 = 0.
-26, 1, 2, 13
Determine a, given that 2*a**4 - a**3 - 21*a**2 - 26*a - 8 = 0.
-2, -1, -1/2, 4
Factor -3*c**5/2 + 237*c**4/2 - 5025*c**3/2 + 13683*c**2/2 - 6612*c + 2166.
-3*(c - 38)**2*(c - 1)**3/2
Factor -2*t**2 - 232*t - 456.
-2*(t + 2)*(t + 114)
Factor -14*t**3/3 + 34*t**2 - 112*t/3 + 8.
-2*(t - 6)*(t - 1)*(7*t - 2)/3
What is y in -4*y**4/5 + 84*y**3/5 + 196*y**2/5 - 276*y/5 = 0?
-3, 0, 1, 23
Determine y so that y**5 - 87*y**4 + 1848*y**3 + 1936*y**2 = 0.
-1, 0, 44
Let 2*o**3 - 8*o = 0. What is o?
-2, 0, 2
Factor -2*c**5 + 262*c**4 - 774*c**3 + 770*c**2 - 256*c.
-2*c*(c - 128)*(c - 1)**3
Let m**2/9 - 1231*m/9 + 410/3 = 0. What is m?
1, 1230
Let -4*b**5 + 44*b**4 - 136*b**3 - 32*b**2 + 640*b - 512 = 0. Calculate b.
-2, 1, 4
What is h in h**4/8 + 15*h**3/8 + 13*h**2/8 - 15*h/8 - 7/4 = 0?
-14, -1, 1
Determine c so that 2*c**3/9 + 10*c**2/9 - 8*c/9 - 40/9 = 0.
-5, -2, 2
Find o such that 2*o**5/17 + 6*o**4/17 + 2*o**3/17 - 6*o**2/17 - 4*o/17 = 0.
-2, -1, 0, 1
Factor 5*y**3 - 455*y**2 + 10120*y + 10580.
5*(y - 46)**2*(y + 1)
Suppose 65*l**5/6 - 185*l**4/6 - 265*l**3 - 1030*l**2/3 - 140*l/3 = 0. Calculate l.
-2, -2/13, 0, 7
Factor 4*x**2 - 3632*x + 3628.
4*(x - 907)*(x - 1)
Factor 3*u**3/2 + 18*u**2 + 30*u.
3*u*(u + 2)*(u + 10)/2
Determine g, given that 2*g**3/5 + 354*g**2/5 - 1442*g/5 + 1086/5 = 0.
-181, 1, 3
Suppose x**2/5 - 144*x/5 = 0. Calculate x.
0, 144
Let 8*n**3/7 + 1004*n**2/7 + 4464*n - 2268 = 0. What is n?
-63, 1/2
Factor j**3/2 - 6*j**2 - 30*j - 32.
(j - 16)*(j + 2)**2/2
Factor -5*q**4 + 350*q**3 + 715*q**2 + 360*q.
-5*q*(q - 72)*(q + 1)**2
Factor 4*m**3 + 16*m**2 + 12*m.
4*m*(m + 1)*(m + 3)
Let -4*l**2 + 1688*l - 178084 = 0. What is l?
211
Let -3*t**2 + 12*t - 12 = 0. Calculate t.
2
Determine y, given that 48*y**4 - 1320*y**3 + 627*y**2 + 564*y + 81 = 0.
-1/4, 1, 27
What is b in -10*b**4 - 113*b**3 - 413*b**2 - 514*b - 120 = 0?
-5, -4, -2, -3/10
Solve s**5 + 4*s**4 + 6*s**3 + 4*s**2 + s = 0 for s.
-1, 0
Find y such that -3*y**4 - 48*y**3 - 126*y**2 + 648*y + 729 = 0.
-9, -1, 3
Find l, given that -l**3 - 28*l**2 - 253*l - 726 = 0.
-11, -6
Factor -a**4 - 5*a**3 + 9*a**2 + 81*a + 108.
-(a - 4)*(a + 3)**3
Solve -u**2/4 - 25*u - 625 = 0 for u.
-50
What is q in 5*q**5 + 40*q**4 + 20*q**3 - 400*q**2 - 320*q + 1280 = 0?
-4, 2
Let 2*k**5/15 - 58*k**4/15 + 166*k**3/5 - 1118*k**2/15 + 676*k/15 = 0. Calculate k.
0, 1, 2, 13
Factor d**4/7 - 13*d**3/7 + 32*d**2/7 - 20*d/7.
d*(d - 10)*(d - 2)*(d - 1)/7
Find k such that 5*k**5 + 20*k**4 - 80*k**3 - 110*k**2 + 75*k + 90 = 0.
-6, -1, 1, 3
Find z, given that 10*z**4 + 655*z**3 + 10560*z**2 - 5445*z = 0.
-33, 0, 1/2
Suppose 3*s**4/4 - 15*s**3 - 63*s**2/4 = 0. What is s?
-1, 0, 21
Factor -b**2 - 8*b - 15.
-(b + 3)*(b + 5)
Determine q, given that -2*q**2/23 - 102*q/23 - 1296/23 = 0.
-27, -24
Find j such that 10*j**5 + 3816*j**4 - 1528*j**3 = 0.
-382, 0, 2/5
Determine p so that 3*p**2 - 27*p - 30 = 0.
-1, 10
Find m such that -3*m**4 - 405*m**3 - 8157*m**2 - 48411*m - 40656 = 0.
-112, -11, -1
Find b, given that 3*b**3/4 - 2501*b**2/4 + 520833*b/4 + 173889/4 = 0.
-1/3, 417
Factor -l**5 - 18*l**4 - 84*l**3 - 152*l**2 - 96*l.
-l*(l + 2)**3*(l + 12)
Suppose 2*s**3/11 - 568*s**2/11 - 2296*s/11 - 2304/11 = 0. Calculate s.
-2, 288
Let -3*w**5 + 12*w**4 - 12*w**3 - 6*w**2 + 15*w - 6 = 0. Calculate w.
-1, 1, 2
Find d, given that 4*d**3 + 7*d**2 - 34*d + 8 = 0.
-4, 1/4, 2
Let 3*b**2 + 1008*b = 0. Calculate b.
-336, 0
Suppose -5*d**2 - 23050*d - 26565125 = 0. Calculate d.
-2305
Factor 5*p**2/4 + 61*p + 161.
(p + 46)*(5*p + 14)/4
Solve 2*y**3/7 + 64*y**2/7 - 134*y/7 + 68/7 = 0 for y.
-34, 1
Factor -3*q**5 + 57*q**4 - 345*q**3 + 723*q**2 - 624*q + 192.
-3*(q - 8)**2*(q - 1)**3
What is y in -2*y**5/5 - 18*y**4/5 + 2*y**3 + 402*y**2/5 + 1072*y/5 + 168 = 0?
-7, -3, -2, 5
Suppose 756*j**3 - 160*j**2 - 16*j = 0. Calculate j.
-2/27, 0, 2/7
Factor -6*y**2 - 26661*y + 13332.
-3*(y + 4444)*(2*y - 1)
Factor r**2 - 620*r - 621.
(r - 621)*(r + 1)
Factor 4*k**2 + 40*k.
4*k*(k + 10)
Determine f, given that -f**2 + 344*f - 29584 = 0.
172
Factor 2*y**5 - 12*y**3 - 16*y**2 - 6*y.
2*y*(y - 3)*(y + 1)**3
Factor -8*u**4/3 + 3*u**3 + 5*u**2 - 2*u/3.
-u*(u - 2)*(u + 1)*(8*u - 1)/3
Factor 4*n**4/7 + 20*n**3 + 268*n**2/7 + 132*n/7.
4*n*(n + 1)**2*(n + 33)/7
Solve w**3/7 + w**2 + 10*w/7 = 0.
-5, -2, 0
Find p such that 2*p**5 + 70*p**4 + 348*p**3 - 64*p**2 - 1856*p = 0.
-29, -4, 0, 2
What is q in q**2/2 + 9*q/2 - 68 = 0?
-17, 8
Factor -3*q**3 + 132*q**2 - 243*q - 378.
-3*(q - 42)*(q - 3)*(q + 1)
Factor -4*m**2/3 + 932*m/3.
-4*m*(m - 233)/3
Suppose 4*j**5/5 + 8*j**4/5 - 28*j**3/5 - 16*j**2 - 48*j/5 = 0. What is j?
-2, -1, 0, 3
Solve -3*l**5 + 57*l**4 - 261*l**3 + 351*l**2 = 0.
0, 3, 13
Factor 2*f**4 + 168*f**3 + 4524*f**2 + 33640*f - 146334.
2*(f - 3)*(f + 29)**3
Suppose -2*r**5/9 - 8*r**4/9 + 40*r**3/9 - 20*r**2/9 - 38*r/9 + 28/9 = 0. Calculate r.
-7, -1, 1, 2
Suppose 5*z**2 - 16220*z + 13154420 = 0. What is z?
1622
Solve -s**4 + 679*s**3 - 152532*s**2 + 11072592*s + 59261760 = 0.
-5, 228
Determine m so that -5*m**3 + 70*m**2 - 300*m + 360 = 0.
2, 6
What is o in 6*o**5 + 232*o**4 - 816*o**3 + 996*o**2 - 502*o + 84 = 0?
-42, 1/3, 1
Factor z**2 + 21*z - 22.
(z - 1)*(z + 22)
Determine g so that g**5/7 + g**4/7 - g**3/7 - g**2/7 = 0.
-1, 0, 1
Solve j**2/5 + 72*j/5 + 124 = 0 for j.
-62, -10
Let -5*o**4 - 5*o**3 + 10*o**2 = 0. Calculate o.
-2, 0, 1
Suppose 4*i**3 + 72*i**2 + 380*i + 504 = 0. Calculate i.
-9, -7, -2
Factor -3*a**2 + 26010*a - 56376675.
-3*(a - 4335)**2
Find z such that -2502724*z**2/5 + 12656*z/5 - 16/5 = 0.
2/791
Determine u so that -9*u**5/8 + 97*u**4/8 + 247*u**3/8 + 167*u**2/8 + 13*u/4 = 0.
-1, -2/9, 0, 13
Factor -3*c**3/7 - 1431*c**2/7 - 2853*c/7 - 1425/7.
-3*(c + 1)**2*(c + 475)/7
Factor -2*r**5/3 - 4*r**4 - 8*r**3 - 20*r**2/3 - 2*r.
-2*r*(r + 1)**3*(r + 3)/3
Solve 4*c**4/3 + 32*c**3/3 + 28*c**2 + 24*c = 0.
-3, -2, 0
Factor 3*f**2/4 + 1269*f/2 - 1272.
3*(f - 2)*(f + 848)/4
Suppose -2*y**4/9 - 2*y**3 + 18*y**2 - 262*y/9 + 40/3 = 0. Calculate y.
-15, 1, 4
What is z in 72*z**4/5 + 393*z**3/5 + 126*z**2 + 108*z/5 - 312/5 = 0?
-2, 13/24
Suppose 4*k**5 - 70*k**4 + 126*k**3 + 358*k**2 + 38*k - 120 = 0. Calculate k.
-1, 1/2, 4, 15
Find j, given that -2*j**4/9 + 64*j**3/9 - 26*j**2 + 284*j/9 - 112/9 = 0.
1, 2, 28
Determine l, given that 2*l**5/15 - 8*l**4/15 - 3442*l**3/15 - 1144*l**2/5 = 0.
-39, -1, 0, 44
Find k, given that -2*k**4/15 + 46*k**3/5 - 2578*k**2/15 + 2266*k/5 - 1452/5 = 0.
1, 2, 33
Factor -2*n**2 - 1426*n + 5736.
-2*(n - 4)*(n + 717)
Solve -3*v**2 - 20307*v = 0.
-6769, 0
Find o such that 270*o**4 - 363*o**3 + 77*o**2 + 20*