6/7 = 0. Calculate u.
-1, 1, 3
Solve -2*o**3 - 76*o**2 - 138*o + 216 = 0 for o.
-36, -3, 1
Determine b so that 15*b**3 - 5*b**2 - 10*b = 0.
-2/3, 0, 1
Let -z**2 + 474*z + 952 = 0. Calculate z.
-2, 476
Suppose 5*r**4/2 - 45*r**3 + 455*r**2/2 - 405*r + 220 = 0. What is r?
1, 2, 4, 11
Factor 3*r**2 + 75*r - 78.
3*(r - 1)*(r + 26)
Suppose -1134*v**2 + 1137*v - 3 = 0. Calculate v.
1/378, 1
Suppose -2*s**4/9 - 24*s**3 + 2*s**2/9 + 24*s = 0. What is s?
-108, -1, 0, 1
Find z, given that -2*z**2/13 - 10*z/13 - 12/13 = 0.
-3, -2
Factor 3*a**2 - 42*a.
3*a*(a - 14)
Solve w**4 + 19*w**3 + 123*w**2 + 305*w + 200 = 0.
-8, -5, -1
Factor -2*o**3/3 + 298*o**2/3 + 602*o/3 + 302/3.
-2*(o - 151)*(o + 1)**2/3
Let -b**2/2 + 111*b - 220 = 0. Calculate b.
2, 220
Factor b**2/2 - 27*b/2 + 85.
(b - 17)*(b - 10)/2
Solve b**2/4 - 467*b/4 - 117 = 0 for b.
-1, 468
Determine p, given that 2*p**2 + 3662*p + 3660 = 0.
-1830, -1
Solve 6*v**5/7 - 2*v**4/7 - 186*v**3/7 - 118*v**2/7 + 60*v/7 = 0.
-5, -1, 0, 1/3, 6
Factor 3*o**3/4 - 3*o**2/4 - 12*o + 12.
3*(o - 4)*(o - 1)*(o + 4)/4
Suppose 2*z**4/7 + 66*z**3/7 - 20*z**2 = 0. What is z?
-35, 0, 2
Factor -3*k**5/2 + 15*k**4/2 + 225*k**3 + 1215*k**2 + 5265*k/2 + 4131/2.
-3*(k - 17)*(k + 3)**4/2
Let 3*v**3/4 + 15*v**2/4 + 6*v + 3 = 0. What is v?
-2, -1
Suppose -2*n**2/3 + 672*n - 169344 = 0. What is n?
504
Determine g so that g**4/4 + g**3 - 7*g**2/4 - 5*g/2 = 0.
-5, -1, 0, 2
Factor w**4/4 - 87*w**3/4 - 135*w**2/2.
w**2*(w - 90)*(w + 3)/4
Suppose -2*f**5/9 + 8*f**4/9 + 14*f**3/9 - 20*f**2/9 = 0. What is f?
-2, 0, 1, 5
Solve -24*h**5 + 536*h**4 + 954*h**3 + 156*h**2 - 286*h - 48 = 0.
-1, -1/6, 1/2, 24
Factor 32*h**5/19 - 98*h**4/19 + 6*h**3/19.
2*h**3*(h - 3)*(16*h - 1)/19
Factor 3*x**2 + 282*x + 6627.
3*(x + 47)**2
Factor -2*n**2 - 248*n + 762.
-2*(n - 3)*(n + 127)
Let 2*s**2 + 228*s + 6498 = 0. What is s?
-57
Factor 2*c**3 + 1294*c**2 + 209950*c + 208658.
2*(c + 1)*(c + 323)**2
Factor 2*y**3 - 2082*y**2 + 722454*y - 83563846.
2*(y - 347)**3
Factor -4*d**2/3 - 100*d/3 + 248.
-4*(d - 6)*(d + 31)/3
Solve -2*w**5/5 + 242*w**4/5 - 1390*w**3 - 22322*w**2/5 - 22816*w/5 - 7688/5 = 0 for w.
-1, 62
Solve -76*p**4 - 8*p**3 + 76*p**2 + 8*p = 0 for p.
-1, -2/19, 0, 1
Factor -s**2/6 + s + 9/2.
-(s - 9)*(s + 3)/6
Determine h, given that -8*h**5/3 + 20*h**4/3 + 4*h**3/3 - 28*h**2/3 + 4*h/3 + 8/3 = 0.
-1, -1/2, 1, 2
Factor -g**3 - 707*g**2 + 1417*g - 709.
-(g - 1)**2*(g + 709)
Factor w**2/4 + 25*w/4 + 21.
(w + 4)*(w + 21)/4
Solve t**4 - 6*t**3 = 0 for t.
0, 6
Factor 25*u**2 + 270*u + 729.
(5*u + 27)**2
Factor 3*b**4 + 90*b**3 + 756*b**2 + 1176*b.
3*b*(b + 2)*(b + 14)**2
Find f, given that 3*f**4 - 90*f**3 - 501*f**2 - 828*f - 420 = 0.
-2, -1, 35
Factor -5*t**4 - 180*t**3 - 1470*t**2 - 2420*t - 1125.
-5*(t + 1)**2*(t + 9)*(t + 25)
Let -1809025*q**2 - 8070*q - 9 = 0. Calculate q.
-3/1345
Factor v**3/4 + 23*v**2 - 1145*v/4 - 309.
(v - 12)*(v + 1)*(v + 103)/4
Factor -2*f**3/19 - 192*f**2/19 + 1206*f/19 - 1836/19.
-2*(f - 3)**2*(f + 102)/19
Factor 3*z**3/7 - 390*z**2/7 + 1875*z/7.
3*z*(z - 125)*(z - 5)/7
Determine i, given that -i**4/2 - i**3 + 6*i**2 - 7*i + 5/2 = 0.
-5, 1
Determine r so that 14*r**5 + 46*r**4 - 30*r**3 - 166*r**2 - 128*r - 24 = 0.
-3, -1, -2/7, 2
What is g in 4*g**5/3 + 46*g**4/3 + 30*g**3 - 250*g**2/3 + 26*g/3 + 28 = 0?
-7, -6, -1/2, 1
Factor 2*m**2 - 2*m - 144.
2*(m - 9)*(m + 8)
Solve 2*r**2/5 - 82*r/5 + 696/5 = 0 for r.
12, 29
Find k, given that -k**3/3 - 2*k**2/3 + 3*k + 6 = 0.
-3, -2, 3
Determine n so that -n**4/9 - 5*n**3/9 + 8*n**2/3 = 0.
-8, 0, 3
Let -2*f**4 + 4*f**3 + 26*f**2 - 28*f - 48 = 0. What is f?
-3, -1, 2, 4
Solve -3*h**2 + 19644*h - 32157228 = 0 for h.
3274
Find v such that 3*v**3/7 + 2754*v**2/7 + 632043*v/7 = 0.
-459, 0
Factor 4*u**2/5 - 11008*u/5 + 7573504/5.
4*(u - 1376)**2/5
Suppose n**5 - 12*n**4 - 79*n**3 - 106*n**2 + 60*n + 136 = 0. What is n?
-2, 1, 17
Factor -u**2 + 368*u - 732.
-(u - 366)*(u - 2)
Factor -v**2/2 - 4073*v - 16589329/2.
-(v + 4073)**2/2
Determine j, given that 2*j**3 - 46*j**2/7 - 128*j/7 + 40/7 = 0.
-2, 2/7, 5
What is o in -o**3 + 15*o**2 - 12*o - 28 = 0?
-1, 2, 14
Factor -2*n**4/3 + 8*n**3/3 + 154*n**2/3.
-2*n**2*(n - 11)*(n + 7)/3
Solve -2*z**3/13 + 942*z**2/13 - 8640*z + 25272 = 0 for z.
3, 234
Let 3*b**4 + 39*b**3 + 153*b**2 + 189*b = 0. Calculate b.
-7, -3, 0
Solve -3*s**3/2 - 9*s**2 + 111*s/2 - 45 = 0 for s.
-10, 1, 3
Factor -4*x**2/7 - 92*x/7 - 24.
-4*(x + 2)*(x + 21)/7
Solve -2*b**2/3 + 8*b - 22/3 = 0.
1, 11
Factor -9*a**3 + 1290*a**2 + 863*a + 144.
-(a - 144)*(3*a + 1)**2
Solve -w**4/5 + 254*w**3/5 - 15873*w**2/5 - 32512*w/5 - 16384/5 = 0 for w.
-1, 128
Factor 3*b**2/5 - 123*b/5 + 342/5.
3*(b - 38)*(b - 3)/5
Factor 8*g**2/9 + 46*g/9 - 4/3.
2*(g + 6)*(4*g - 1)/9
Suppose -z**4/3 - 2*z**3 - 11*z**2/3 - 2*z = 0. Calculate z.
-3, -2, -1, 0
Determine l, given that -128*l**5/7 - 96*l**4/7 + 670*l**3/7 - 78*l**2 + 106*l/7 - 6/7 = 0.
-3, 1/8, 1
Find t such that -t**4 - 32*t**3 + t**2 + 32*t = 0.
-32, -1, 0, 1
Suppose l**5 - 14*l**3 + 12*l**2 + 13*l - 12 = 0. Calculate l.
-4, -1, 1, 3
Suppose -4*u**3 + 100*u**2 + 216*u = 0. What is u?
-2, 0, 27
Suppose 54*x**2 - 58*x + 4 = 0. Calculate x.
2/27, 1
Suppose 54*a**4/5 + 309*a**3/5 + 78*a**2 + 72*a/5 = 0. Calculate a.
-4, -3/2, -2/9, 0
What is c in -c**2 + 27*c + 58 = 0?
-2, 29
Let 9*b**4/5 + 1149*b**3/5 + 1893*b**2/5 + 75*b - 378/5 = 0. Calculate b.
-126, -1, 1/3
Factor 2*i**3 + 24*i**2 - 512.
2*(i - 4)*(i + 8)**2
Factor 3*c**5/7 - 54*c**4/7 + 51*c**3/7.
3*c**3*(c - 17)*(c - 1)/7
Factor -27*x**3 + 384*x**2 - 435*x + 78.
-3*(x - 13)*(x - 1)*(9*x - 2)
Solve 15*y**3 - 246*y**2 - 1053*y - 540 = 0 for y.
-3, -3/5, 20
Suppose -3*y**5/2 - 2697*y**4/2 - 305091*y**3 - 905856*y**2 - 602112*y = 0. What is y?
-448, -2, -1, 0
What is p in p**5 - 5*p**4 - 13*p**3 - 7*p**2 = 0?
-1, 0, 7
Factor -j**2 + 413*j/4 + 421/2.
-(j + 2)*(4*j - 421)/4
Factor -3*a**4 - 1128*a**3 + 3402*a**2 - 3408*a + 1137.
-3*(a - 1)**3*(a + 379)
Determine h, given that -h**5 + h**4 + 6*h**3 = 0.
-2, 0, 3
Factor q**3 + 88*q**2/3 - 20*q.
q*(q + 30)*(3*q - 2)/3
Factor -5*i**5 + 20*i**4 + 60*i**3 + 10*i**2 - 55*i - 30.
-5*(i - 6)*(i - 1)*(i + 1)**3
Factor t**3 + 3*t**2 - 4.
(t - 1)*(t + 2)**2
Find g such that -5*g**5 + 30*g**3 - 40*g**2 + 15*g = 0.
-3, 0, 1
Suppose -2*g**5 + 78*g**4 - 528*g**3 - 4840*g**2 = 0. Calculate g.
-5, 0, 22
Factor -j**3 - 2*j**2 + 31*j - 28.
-(j - 4)*(j - 1)*(j + 7)
Determine h so that 625*h**5 + 32000*h**4 + 97800*h**3 + 87040*h**2 + 30800*h + 3840 = 0.
-48, -2, -2/5
Factor 2*z**3/13 - 30*z**2/13 - 68*z/13.
2*z*(z - 17)*(z + 2)/13
Determine s, given that -3*s**5 + 204*s**4 + 210*s**3 - 204*s**2 - 207*s = 0.
-1, 0, 1, 69
Factor s**3/5 - 19*s**2/5 + 18*s/5.
s*(s - 18)*(s - 1)/5
Factor 4*t**3/5 - 4*t**2/5 - 8*t - 32/5.
4*(t - 4)*(t + 1)*(t + 2)/5
Determine j, given that j**2/9 + 784*j + 1382976 = 0.
-3528
Suppose -7*n**5/3 - 670*n**4/3 - 19954*n**3/3 - 187108*n**2/3 - 521479*n/3 + 164738/3 = 0. Calculate n.
-41, -7, 2/7
Factor -2*p**2/11 - 18*p/11 + 4.
-2*(p - 2)*(p + 11)/11
Factor -a**3/7 - 753*a**2/7 - 20304*a - 141376/7.
-(a + 1)*(a + 376)**2/7
Factor -o**3/5 - 23*o**2/5 + 26*o/5 + 48/5.
-(o - 2)*(o + 1)*(o + 24)/5
Factor 7*g**2/4 + 177*g/4 + 25/2.
(g + 25)*(7*g + 2)/4
Suppose -14*j**3/15 - 26*j**2/3 - 232*j/15 - 56/15 = 0. Calculate j.
-7, -2, -2/7
Factor t**4/2 + 1965*t**3/2 + 3927*t**2/2 + 1963*t/2.
t*(t + 1)**2*(t + 1963)/2
Factor 2*m**3/5 - 12*m**2/5 - 18*m/5 + 28/5.
2*(m - 7)*(m - 1)*(m + 2)/5
Factor 3*g**4 - 24*g**3 - 9*g**2 + 378*g - 648.
3*(g - 6)*(g - 3)**2*(g + 4)
Find z, given that 2*z**3/7 + 1492*z**2/7 + 2978*z/7 + 1488/7 = 0.
-744, -1
Determine z so that -20*z**5 + 315*z**4 - 820*z**3 - 3465*z**2 - 810*z = 0.
-2, -1/4, 0, 9
Factor 2*x**2/7 + 44*x/7 - 58.
2*(x - 7)*(x + 29)/7
Find r, given that -2*r**4/7 - 460*r**3/7 - 1362*r**2/7 + 8*r/7 + 1816/7 = 0.
-227, -2, 1
Factor 3*z**3 - 33*z**2/4.
3*z**2*(4*z - 11)/4
Suppose -v**3 + 4*v**2 + 7*v - 10 = 0. What is v?
-2, 1, 5
Factor -d**2/7 - 32*d/7 - 25.
-(d + 7)*(d + 25)/7
Factor -5*h**2 - 2770*h - 383645.
-5*(h + 277)**2
Factor -j**3/3 - 22*j**2/3 - 140*j/3 - 200/3.
-(j + 2)*(j + 10)**2/3
Factor m**3/3 + 91*m**2 + 6517*m + 123823/3.
(m + 7)*(m + 133)**2/3
Suppose 4*d**4 - 116*d**3 + 108*d**2 + 116*d - 112