 - 88*z - 192.
-(z - 24)*(z - 2)*(z + 2)**2
Let -5*n**5/4 + 59*n**4/4 - 203*n**3/4 + 257*n**2/4 - 20*n - 7 = 0. Calculate n.
-1/5, 1, 2, 7
Factor s**3/2 - s**2 + s/2.
s*(s - 1)**2/2
Determine h so that -3*h**2 - 186*h - 2883 = 0.
-31
Find c, given that -3*c**4 + 4005*c**3 - 15987*c**2 + 19971*c - 7986 = 0.
1, 2, 1331
Factor -2*k**2/9 + 208*k/3 - 5408.
-2*(k - 156)**2/9
Factor 5*t**2 + 3805*t - 7630.
5*(t - 2)*(t + 763)
Suppose n**2/4 + 11*n + 121 = 0. Calculate n.
-22
Factor -2*n**3/9 + 418*n**2 + 2510*n/3 + 3766/9.
-2*(n - 1883)*(n + 1)**2/9
Find q, given that 14*q**2 + 834*q - 360 = 0.
-60, 3/7
Find q such that -3*q**5 - 24*q**4 - 6*q**3 + 276*q**2 + 297*q - 540 = 0.
-5, -4, -3, 1, 3
Find n, given that -n**4/5 + 6*n**3 - 277*n**2/5 + 156*n - 676/5 = 0.
2, 13
Solve y**2 - 27*y + 50 = 0.
2, 25
Determine y, given that -4*y**4 + 24*y**3 + 252*y**2 - 1568*y = 0.
-8, 0, 7
Find g such that 12*g**5 + 60*g**4 - 69*g**3 + 18*g**2 = 0.
-6, 0, 1/2
Factor -l**2/2 - 469*l/2 - 467.
-(l + 2)*(l + 467)/2
Solve -2*w**5/5 - 26*w**4/5 - 78*w**3/5 + 26*w**2/5 + 16*w = 0.
-8, -5, -1, 0, 1
Factor 3*p**4 - 78*p**3 - 345*p**2 - 444*p - 180.
3*(p - 30)*(p + 1)**2*(p + 2)
Factor -3*p**3/2 + 725*p**2/2 - 601*p + 240.
-(p - 240)*(p - 1)*(3*p - 2)/2
Factor 9*j**3 - 69*j**2 + 150*j - 72.
3*(j - 4)*(j - 3)*(3*j - 2)
Factor -m**5/10 + 2*m**4 - 77*m**3/10 - 121*m**2/5.
-m**2*(m - 11)**2*(m + 2)/10
Factor 4*j**3/3 - 2*j**2/9.
2*j**2*(6*j - 1)/9
Suppose -5*k**2 + 465*k + 470 = 0. What is k?
-1, 94
Factor 2*u**5 + 76*u**4 + 554*u**3 - 3192*u**2 + 3528*u.
2*u*(u - 2)**2*(u + 21)**2
Let -2*g**3/13 - 10*g**2/13 + 132*g/13 = 0. Calculate g.
-11, 0, 6
Factor 2*c**4/21 - 736*c**3/21 + 22814*c**2/7 - 44652*c/7.
2*c*(c - 183)**2*(c - 2)/21
What is w in -w**3/2 + 89*w**2/2 - 1359*w/2 + 5751/2 = 0?
9, 71
Let -2*w**4 - 164*w**3 - 4994*w**2 - 66912*w - 332928 = 0. What is w?
-24, -17
Let -2*g**4/7 + 20*g**3/7 - 16*g**2/7 - 20*g/7 + 18/7 = 0. What is g?
-1, 1, 9
Factor -n**3/3 + 2*n**2 + n/3 - 10.
-(n - 5)*(n - 3)*(n + 2)/3
Factor -5*o**3 - 3780*o**2 - 718185*o - 1421290.
-5*(o + 2)*(o + 377)**2
What is g in -5*g**3/4 + 75*g**2/2 - 495*g/4 - 325/2 = 0?
-1, 5, 26
Determine i so that -2*i**4/3 + 17*i**3/3 - 46*i**2/3 + 43*i/3 - 4 = 0.
1/2, 1, 3, 4
Determine i, given that i**5 + 9*i**4/2 - i**3 - 9*i**2/2 = 0.
-9/2, -1, 0, 1
Factor 5*v**2 - 20*v.
5*v*(v - 4)
Factor 2*q**2 - 32*q + 78.
2*(q - 13)*(q - 3)
Suppose 6*h**2 + 344*h + 448 = 0. Calculate h.
-56, -4/3
Suppose -f**4/2 + 68*f**3 - 646*f**2 + 2032*f - 2016 = 0. What is f?
2, 4, 126
Solve -t**4/3 + 41*t**3/3 - 159*t**2 + 1159*t/3 - 722/3 = 0.
1, 2, 19
Find q such that -2*q**4/5 + 22*q**3/5 - 48*q**2/5 = 0.
0, 3, 8
What is k in -4*k**5 - 388*k**4 + 2040*k**3 = 0?
-102, 0, 5
Determine n so that -3*n**5 + 15*n**4 + 261*n**3 - 51*n**2 - 726*n + 504 = 0.
-7, -2, 1, 12
Factor 4*k**3 - 80*k**2 + 448*k - 768.
4*(k - 12)*(k - 4)**2
Determine h so that 2*h**2/9 + 40*h/3 + 72 = 0.
-54, -6
Factor -5*f**4 + 45*f**3 - 75*f**2 + 35*f.
-5*f*(f - 7)*(f - 1)**2
Determine f so that f**4/4 + 139*f**3/4 + 5165*f**2/4 + 23249*f/4 + 13467/2 = 0.
-67, -3, -2
Factor -x**3/4 + 23*x**2/12 - 10*x/3 - 4/3.
-(x - 4)**2*(3*x + 1)/12
Let -2*q**3 + 2*q**2 + 20*q + 16 = 0. Calculate q.
-2, -1, 4
Suppose -3*a**4 + 516*a**3 - 9468*a**2 - 1093920*a - 13483200 = 0. Calculate a.
-20, 106
Solve i**5/7 + 38*i**4/7 + 138*i**3/7 + 64*i**2/7 - 139*i/7 - 102/7 = 0 for i.
-34, -3, -1, 1
Solve 2*a**3 + 68*a**2 + 754*a + 2704 = 0.
-13, -8
Solve -3*d**3 + 48*d**2 - 147*d - 198 = 0.
-1, 6, 11
Solve a**5/3 - 3*a**4 + 11*a**3/3 + 25*a**2/3 - 8*a - 28/3 = 0.
-1, 2, 7
Factor f**2 + 56*f + 460.
(f + 10)*(f + 46)
Factor -24*o**3 + 68*o**2 + 232*o.
-4*o*(o + 2)*(6*o - 29)
Factor -g**4 + 10*g**3 - 4*g**2 - 42*g - 27.
-(g - 9)*(g - 3)*(g + 1)**2
Factor 20*h**4 + 249845*h**3 + 1040396220*h**2 + 1444243342320*h + 360995814720.
5*(h + 4164)**3*(4*h + 1)
Let -18*q**3 - 25*q**2 - 23*q/3 - 2/3 = 0. What is q?
-1, -2/9, -1/6
Solve -3*k**3 + 237*k**2 - 465*k + 231 = 0 for k.
1, 77
Factor -5*w**5 + 110*w**4 + 240*w**3.
-5*w**3*(w - 24)*(w + 2)
Find r such that 4*r**5/3 + 20*r**4/3 + 4*r**3 - 20*r**2/3 - 16*r/3 = 0.
-4, -1, 0, 1
Factor -2*g**3/7 + 972*g**2/7 + 974*g/7.
-2*g*(g - 487)*(g + 1)/7
Find t such that -3*t**3 + 48*t**2 - 213*t + 168 = 0.
1, 7, 8
Suppose -3*m**2 + 3 = 0. Calculate m.
-1, 1
Factor 2*l**2/13 + 2*l/13.
2*l*(l + 1)/13
Find v, given that -5*v**2/2 + 960*v - 92160 = 0.
192
Find j, given that -36*j**4 + 105*j**3 - 108*j**2 + 45*j - 6 = 0.
1/4, 2/3, 1
Suppose 26*y**4/5 - 28*y**3/5 - 154*y**2/5 + 12*y/5 = 0. What is y?
-2, 0, 1/13, 3
Suppose n**2/6 - 7*n + 147/2 = 0. Calculate n.
21
Factor -12*c**3 - 352*c**2 - 116*c.
-4*c*(c + 29)*(3*c + 1)
Let -f**3/4 + 2*f**2 - 9*f/4 - 9/2 = 0. What is f?
-1, 3, 6
Factor j**4 - 57*j**3 - 3*j**2 + 173*j - 114.
(j - 57)*(j - 1)**2*(j + 2)
Determine h, given that 2*h**5/15 - 14*h**4/15 + 14*h**3/15 + 46*h**2/15 - 16*h/15 - 32/15 = 0.
-1, 1, 4
Let -14*m**2 - 662*m - 188 = 0. Calculate m.
-47, -2/7
Factor 2*v**4 - 222*v**3 + 5408*v**2 - 35328*v - 40960.
2*(v - 80)*(v - 16)**2*(v + 1)
Factor 64*s**4 + 1808*s**3 + 449*s**2 + 28*s.
s*(s + 28)*(8*s + 1)**2
Find b, given that 2*b**4/13 + 56*b**3/13 + 480*b**2/13 + 800*b/13 - 4000/13 = 0.
-10, 2
Factor -r**4 - 2*r**3 + 7*r**2 - 4*r.
-r*(r - 1)**2*(r + 4)
Factor -2*g**2/5 + 1066*g - 5328/5.
-2*(g - 2664)*(g - 1)/5
Find j, given that -30*j**4 + 25*j**3 + 75*j**2 - 20 = 0.
-1, -2/3, 1/2, 2
Factor -c**4/5 + 8*c**3/5 - 13*c**2/5 + 6*c/5.
-c*(c - 6)*(c - 1)**2/5
Factor d**2 - 44*d + 484.
(d - 22)**2
Factor -2*h**3/3 + 12*h**2 - 112*h/3.
-2*h*(h - 14)*(h - 4)/3
Factor -a**2/4 + 21*a/4 + 11/2.
-(a - 22)*(a + 1)/4
Suppose z**4 + 240*z**3 - 4*z**2 - 960*z = 0. Calculate z.
-240, -2, 0, 2
Find d, given that -68*d**3 - 26*d**2 + 4*d = 0.
-1/2, 0, 2/17
Determine a so that -2*a**4 - 6*a**3 - 2*a**2 + 6*a + 4 = 0.
-2, -1, 1
Factor 18*v**2/13 + 184*v/13 + 296/13.
2*(v + 2)*(9*v + 74)/13
Factor 4*h**5 - 28*h**4/3 + 4*h**3 + 4*h**2 - 8*h/3.
4*h*(h - 1)**3*(3*h + 2)/3
Factor 4*l**4 + 24*l**3 + 4*l**2 - 96*l + 64.
4*(l - 1)**2*(l + 4)**2
Determine q, given that -5*q**4 - 5*q**3 + 110*q**2 - 220*q + 120 = 0.
-6, 1, 2
Determine o, given that -5*o**4 + 1990*o**3 - 193985*o**2 - 799980*o - 808020 = 0.
-2, 201
Find i, given that -3*i**3/2 + 3705*i**2/2 - 571032*i - 572886 = 0.
-1, 618
Find t, given that 9*t**5/5 + 408*t**4/5 + 886*t**3/5 - 728*t**2/5 + 129*t/5 = 0.
-43, -3, 0, 1/3
Factor 3*m**2 - 111*m - 492.
3*(m - 41)*(m + 4)
Determine q so that 34544672*q**2 - 16624*q + 2 = 0.
1/4156
Determine x, given that -2*x**2 - 144*x + 3680 = 0.
-92, 20
What is w in -w**2/2 + 20*w + 441/2 = 0?
-9, 49
Determine i, given that 35*i**3 - 430*i**2 + 505*i - 110 = 0.
2/7, 1, 11
Factor -j**3/8 - 873*j**2/4 - 1743*j/2 - 871.
-(j + 2)**2*(j + 1742)/8
Factor 5*t**5 - 55*t**4 + 195*t**3 - 305*t**2 + 220*t - 60.
5*(t - 6)*(t - 2)*(t - 1)**3
Suppose l**3/3 - 41*l**2/3 - 326*l/3 - 160 = 0. Calculate l.
-5, -2, 48
Factor 5*j**2 + 295*j - 300.
5*(j - 1)*(j + 60)
Solve 8*y**4/5 - 1614*y**3/5 - 412*y**2/5 + 1614*y/5 + 404/5 = 0.
-1, -1/4, 1, 202
Factor 3*i**3/5 - 123*i**2/5 - 12*i/5 + 492/5.
3*(i - 41)*(i - 2)*(i + 2)/5
Solve -2*k**3/7 - 6*k**2/7 + 18*k/7 - 10/7 = 0 for k.
-5, 1
Find g, given that -g**2 + 3747*g = 0.
0, 3747
Determine l, given that 4*l**5 - 8*l**4 - 4*l**3 + 8*l**2 = 0.
-1, 0, 1, 2
Let 3*t**3/7 + 12*t**2/7 - 12*t/7 - 48/7 = 0. What is t?
-4, -2, 2
Find f, given that -2*f**2/7 + 12*f/7 = 0.
0, 6
Factor -2*p**2/3 + 32*p - 574/3.
-2*(p - 41)*(p - 7)/3
Factor -8*u**3 + 114*u**2 - 132*u + 26.
-2*(u - 13)*(u - 1)*(4*u - 1)
Find u, given that u**3 - 833*u**2 + 172216*u + 524172 = 0.
-3, 418
Let -p**3/3 - 56*p**2/3 - 161*p/3 - 106/3 = 0. What is p?
-53, -2, -1
Factor 2*g**2 - 2123*g + 1061.
(g - 1061)*(2*g - 1)
Solve 3*l**3/7 + 90*l**2/7 + 324*l/7 + 312/7 = 0.
-26, -2
Suppose j**5/7 + 10*j**4/7 + 30*j**3/7 + 40*j**2/7 + 25*j/7 + 6/7 = 0. What is j?
-6, -1
What is o in -15*o**5 - 100*o**4 - 235*o**3 - 210*o**2 - 20*o + 40 = 0?
-2, -1, 1/3
What is q in 17*q**4 - 39*q**3 - 36*q**2 + 68*q + 48 = 0?
-1, -12/17, 2
Determine q, given that -2*q**5 - 14*q**4 - 34*q**3 - 34*q**2 - 12*q = 0.
-3, -2, -1, 0
Factor -3*j**4/2 - 30*j**3 - 231*j**2/2 + 363*j.
-3*j*(j -