ctor 10*d**3/11 + 4*d**2 + 46*d/11 + 12/11.
2*(d + 1)*(d + 3)*(5*d + 2)/11
Factor -c**3/4 + 33*c**2/4 + 17*c/2.
-c*(c - 34)*(c + 1)/4
Factor 3*o**2 - 39*o.
3*o*(o - 13)
Factor -2*a**3/5 + 21*a**2/5 - 5*a - 18/5.
-(a - 9)*(a - 2)*(2*a + 1)/5
Factor -2*u**4/9 + 1610*u**3/9 - 1606*u**2/3 + 4814*u/9 - 1604/9.
-2*(u - 802)*(u - 1)**3/9
Find z such that -2*z**3/9 - 4*z**2/9 + 14*z/9 - 8/9 = 0.
-4, 1
Suppose -5*g**4 + 20*g**3 + 235*g**2 - 510*g - 720 = 0. Calculate g.
-6, -1, 3, 8
Factor -5*v**5 - 30*v**4 + 30*v**3 + 220*v**2 + 255*v + 90.
-5*(v - 3)*(v + 1)**3*(v + 6)
Find o, given that 3*o**2 - 69*o = 0.
0, 23
Solve 4*m**5 - 28*m**4 + 20*m**3 + 28*m**2 - 24*m = 0 for m.
-1, 0, 1, 6
Factor 2*f**5 - 14*f**4 + 10*f**3 + 14*f**2 - 12*f.
2*f*(f - 6)*(f - 1)**2*(f + 1)
Find k such that -3*k**4/2 + 9*k**3 + 57*k**2/2 - 36*k = 0.
-3, 0, 1, 8
Factor 25281*i**2/4 + 318*i + 4.
(159*i + 4)**2/4
Factor -u**2/5 - 9*u/5 + 2.
-(u - 1)*(u + 10)/5
Factor 1369*z**2 + 148*z + 4.
(37*z + 2)**2
Determine h so that 2*h**5/13 - 6*h**4/13 - 218*h**3/13 + 6*h**2/13 + 216*h/13 = 0.
-9, -1, 0, 1, 12
Suppose 5*i**5 - 755*i**4 - 1525*i**3 - 765*i**2 = 0. Calculate i.
-1, 0, 153
Find k such that -2*k**3/9 - 124*k**2/3 - 1922*k = 0.
-93, 0
Find q such that -2*q**4/19 - 1620*q**3/19 - 326426*q**2/19 + 657720*q/19 - 329672/19 = 0.
-406, 1
Factor c**5 - 28*c**4 - 284*c**3 + 6720*c**2 + 57600*c.
c*(c - 24)**2*(c + 10)**2
Factor -5*h**2 - 1025*h + 1030.
-5*(h - 1)*(h + 206)
Factor -2*k**2/11 + 104*k/11 + 216/11.
-2*(k - 54)*(k + 2)/11
Factor -196*d**3 - 3220*d**2 + 1888*d - 272.
-4*(d + 17)*(7*d - 2)**2
Let b**3/4 - 167*b**2/4 - 337*b/4 - 169/4 = 0. What is b?
-1, 169
Factor -m**2/2 + 673*m.
-m*(m - 1346)/2
Factor d**2/2 + 30*d - 621/2.
(d - 9)*(d + 69)/2
Factor 4*l**3 - 2420*l**2 + 369628*l - 1087212.
4*(l - 301)**2*(l - 3)
Factor -2*p**4 + 38*p**3 - 148*p**2 + 112*p.
-2*p*(p - 14)*(p - 4)*(p - 1)
Solve -2*q**4/7 + 36*q**3/7 - 122*q**2/7 - 360*q/7 - 200/7 = 0.
-1, 10
Factor c**5/4 + c**4/2 - c**3/4 - c**2/2.
c**2*(c - 1)*(c + 1)*(c + 2)/4
Let -3*i**3 - 72*i**2 - 252*i + 2352 = 0. What is i?
-14, 4
Factor 3*t**3/2 + 39*t**2 - 549*t/2 + 432.
3*(t - 3)**2*(t + 32)/2
Solve 25*c**4 + 740*c**3 - 1075*c**2 + 310*c = 0 for c.
-31, 0, 2/5, 1
Factor 2*z**4/3 - 1250*z**3/3 + 198400*z**2/3 - 961000*z/3.
2*z*(z - 310)**2*(z - 5)/3
Factor 2*p**3/15 + 146*p**2/5 + 10658*p/5 + 778034/15.
2*(p + 73)**3/15
Determine m so that -4*m**3 - 13092*m**2 - 14283372*m - 5194386284 = 0.
-1091
Factor -28*k**2 - 260*k - 72.
-4*(k + 9)*(7*k + 2)
Suppose 2*k**3/3 - 542*k**2 + 146882*k - 39805022/3 = 0. Calculate k.
271
Factor 2*t**4/7 + 30*t**3/7 - 2*t**2/7 - 30*t/7.
2*t*(t - 1)*(t + 1)*(t + 15)/7
What is q in -10*q**3/17 - 8*q**2/17 + 62*q/17 - 12/17 = 0?
-3, 1/5, 2
Suppose -3*i**2 + 64*i - 21 = 0. What is i?
1/3, 21
Factor -g**3/6 + 73*g**2/6 - 1295*g/6 - 1369/6.
-(g - 37)**2*(g + 1)/6
Determine g so that -g**2 + 698*g = 0.
0, 698
Factor 4*i**3/5 - 28*i**2/5 - 32*i/5.
4*i*(i - 8)*(i + 1)/5
Factor 2*j**3/9 - 8*j**2/9 + 10*j/9 - 4/9.
2*(j - 2)*(j - 1)**2/9
Factor n**3 - 1520*n**2 + 577600*n.
n*(n - 760)**2
Factor -2*v**2/9 + 40*v/3 - 1558/9.
-2*(v - 41)*(v - 19)/9
Factor -5*c**2/4 + 21*c/4 - 1.
-(c - 4)*(5*c - 1)/4
Solve 6*q**5/17 + 10*q**4/17 - 26*q**3/17 - 2*q**2/17 + 12*q/17 = 0 for q.
-3, -2/3, 0, 1
Solve 2*a**5/3 + 4*a**4 + 26*a**3/3 + 8*a**2 + 8*a/3 = 0 for a.
-2, -1, 0
Determine l so that 4*l**2 - 432*l + 11664 = 0.
54
Factor -2*w**4/3 - 424*w**3/3 - 22892*w**2/3 - 14840*w - 7350.
-2*(w + 1)**2*(w + 105)**2/3
Factor u**3/3 + 2*u**2 + 3*u.
u*(u + 3)**2/3
Factor -3*i**3/5 - 450*i**2 + 3*i/5 + 450.
-3*(i - 1)*(i + 1)*(i + 750)/5
Suppose -72*g**5 - 322*g**4 - 428*g**3 - 152*g**2 - 16*g = 0. What is g?
-2, -1/4, -2/9, 0
Factor p**2/2 - 27*p/2 - 29.
(p - 29)*(p + 2)/2
Let l**2/7 - 3*l/7 - 4/7 = 0. Calculate l.
-1, 4
Find h such that h**2/6 + 5*h/6 - 1 = 0.
-6, 1
Determine s so that -s**5/9 + 17*s**4/3 + 6*s**3 - 104*s**2/9 = 0.
-2, 0, 1, 52
Find m such that 3*m**4/2 + 9312*m**3 + 21678336*m**2 + 22429851648*m + 8702782439424 = 0.
-1552
Solve 4*a**4 - 16*a**3 + 8*a**2 + 16*a - 12 = 0.
-1, 1, 3
Factor 7*m**4 + 16*m**3 - 24*m**2 - 64*m - 16.
(m - 2)*(m + 2)**2*(7*m + 2)
Suppose -2*j**4 - 10*j**3 - 6*j**2 + 10*j + 8 = 0. Calculate j.
-4, -1, 1
Determine s, given that -2*s**3/7 - 22*s**2/7 - 2*s + 42 = 0.
-7, 3
Find u, given that -5*u**4 + 130*u**3 + 420*u**2 + 430*u + 145 = 0.
-1, 29
Factor -3*g**2 + 174*g - 1656.
-3*(g - 46)*(g - 12)
Solve -4*g**3/5 - 12*g**2/5 + 36*g - 324/5 = 0 for g.
-9, 3
Let 5*u**5/6 - 10*u**4/3 - 185*u**3/2 + 105*u**2 + 2970*u + 4860 = 0. What is u?
-6, -2, 9
Let 3*n**2/5 + 4437*n/5 = 0. What is n?
-1479, 0
Find z such that -z**3 - 55*z**2/2 - 61*z + 75/2 = 0.
-25, -3, 1/2
Factor 7*x**3 + x**2 - 20*x + 12.
(x - 1)*(x + 2)*(7*x - 6)
Factor -2*x**2/5 - 408*x/5 - 20808/5.
-2*(x + 102)**2/5
Let -4*g**4 - 4*g**3 + 32*g**2 + 48*g = 0. Calculate g.
-2, 0, 3
Suppose u**5 + 2*u**4 - u**3 - 2*u**2 = 0. What is u?
-2, -1, 0, 1
Suppose g**4/4 + 3*g**3/4 = 0. What is g?
-3, 0
What is q in 3*q**3/2 - 249*q**2/2 - 507*q/2 - 255/2 = 0?
-1, 85
What is r in 2*r**3/3 + 74*r**2/3 + 718*r/3 + 646/3 = 0?
-19, -17, -1
Solve 5*l**5 + 30*l**4 + 10*l**3 - 80*l**2 - 15*l + 50 = 0 for l.
-5, -2, -1, 1
Factor -2*o**2/5 + 8*o/5 - 8/5.
-2*(o - 2)**2/5
Find g such that -3*g**3 - 90*g**2 - 432*g = 0.
-24, -6, 0
Let -11*o**3 + 24*o**2 - 4*o = 0. What is o?
0, 2/11, 2
What is g in 30*g**2 - 63*g + 6 = 0?
1/10, 2
Factor 3*v**3 - 202*v**2 + 65*v + 134.
(v - 67)*(v - 1)*(3*v + 2)
Find k such that -2*k**5 + 790*k**4/3 - 174*k**3 - 262*k**2/3 = 0.
-1/3, 0, 1, 131
Factor -2*p**3 - 20*p**2 + 78*p.
-2*p*(p - 3)*(p + 13)
Factor 5*h**3 + 295*h**2 + 1590*h.
5*h*(h + 6)*(h + 53)
Solve -5*o**5 + 280*o**4 - 1560*o**3 + 3050*o**2 - 2515*o + 750 = 0.
1, 3, 50
Suppose -w**4 + 72*w**3 - 1782*w**2 + 17496*w - 59049 = 0. What is w?
9, 27
Suppose 4*s**3 + 52*s**2 + 88*s = 0. What is s?
-11, -2, 0
Find j, given that j**2 + 84*j = 0.
-84, 0
Factor -2*h**2/13 - 54*h/13.
-2*h*(h + 27)/13
Suppose t**4/4 + 23*t**3/2 + 529*t**2/4 = 0. What is t?
-23, 0
Factor m**3/7 + 94*m**2/7 + 363*m/7 + 270/7.
(m + 1)*(m + 3)*(m + 90)/7
Factor -98*o**3/3 - 3640*o**2/3 + 1058*o - 228.
-2*(o + 38)*(7*o - 3)**2/3
Solve -2*u**4/11 + 20*u**3/11 + 24*u**2/11 - 20*u/11 - 2 = 0 for u.
-1, 1, 11
Find i such that i**4 - 5*i**3 + 7*i**2 - 3*i = 0.
0, 1, 3
Find h, given that h**3/4 + 483*h**2 + 311052*h + 66772496 = 0.
-644
Factor z**2/2 - 17*z/2.
z*(z - 17)/2
Find a, given that -2*a**4 + 2420*a**3 - 729626*a**2 - 1466520*a - 734472 = 0.
-1, 606
Factor -5*n**4 + 50*n**3 + 515*n**2 + 1300*n + 1020.
-5*(n - 17)*(n + 2)**2*(n + 3)
Factor -2*r**2 - 9*r + 18.
-(r + 6)*(2*r - 3)
Let 118*p**4/7 + 358*p**3/7 + 366*p**2/7 + 130*p/7 + 4/7 = 0. Calculate p.
-1, -2/59
Find l, given that -3*l**2 + 918*l - 70227 = 0.
153
Let 4*i**3 - 108*i**2 - 120*i + 224 = 0. What is i?
-2, 1, 28
Suppose 2*p**5 - 6*p**4 - 30*p**3 + 38*p**2 + 60*p = 0. What is p?
-3, -1, 0, 2, 5
Determine g, given that 14*g**4 + 186*g**3 + 640*g**2 + 168*g = 0.
-7, -6, -2/7, 0
Determine x so that 4*x**5 + 324*x**4 + 7032*x**3 + 19192*x**2 + 18564*x + 6084 = 0.
-39, -1
Factor 3*s**3 + 42*s**2 - 45*s.
3*s*(s - 1)*(s + 15)
Let -2*b**2/5 + 32/5 = 0. What is b?
-4, 4
Suppose p**3/7 + 200*p**2/7 - p/7 - 200/7 = 0. What is p?
-200, -1, 1
Suppose 3*l**2 + 3*l - 6 = 0. Calculate l.
-2, 1
Factor -s**3 + 52*s**2 + 107*s + 54.
-(s - 54)*(s + 1)**2
Factor -p**2 - 20*p - 99.
-(p + 9)*(p + 11)
Factor c**4/3 + 6*c**3 - 20*c**2/3 - 6*c + 19/3.
(c - 1)**2*(c + 1)*(c + 19)/3
Let 15*d**5 + 64*d**4 + 92*d**3 + 42*d**2 - 11*d - 10 = 0. What is d?
-5/3, -1, 2/5
Let -6*h**5/5 + 20*h**4 - 398*h**3/5 - 144*h**2/5 = 0. What is h?
-1/3, 0, 8, 9
What is a in a**2/5 - 23*a/5 + 18 = 0?
5, 18
Find w, given that w**2 + 14*w - 95 = 0.
-19, 5
Solve 65*w**5 - 1940*w**4 + 6785*w**3 - 7490*w**2 + 2060*w + 520 = 0 for w.
-2/13, 1, 2, 26
Let v**3/5 - 83*v**2/5 + 182*v = 0. What is v?
0, 13, 70
Let 4*f**5 - 556*f**4/5 + 1388*f**3/5 + 60*f**2 = 0. What is f?
-1/5, 0, 3, 25
Determine o so that -2*o**4 + 12*o**3 - 10*o**2 - 24*o = 0.
-1, 0, 3, 4
Determine d, given that -4*d**3 + 148*d**2 - 408*d = 0.
0, 3, 34
Factor -20*y**2 + 44*y - 24.
-4*(y - 1)*(5*y - 6)
Factor 