/7 = 0. Calculate w.
1, 5, 6
Solve 5*m**4 - 215*m**3 + 2200*m**2 + 2420*m = 0 for m.
-1, 0, 22
Factor -r**2/2 - 74*r - 435/2.
-(r + 3)*(r + 145)/2
What is z in -4*z**5/5 - 11*z**4 + 18*z**3/5 + 11*z**2 - 14*z/5 = 0?
-14, -1, 0, 1/4, 1
Determine k, given that 3*k**2/2 + 135*k - 276 = 0.
-92, 2
Factor -2*q**2/5 - 86*q + 868/5.
-2*(q - 2)*(q + 217)/5
Suppose -4*r**3 - 28*r**2 - 24*r = 0. What is r?
-6, -1, 0
Solve 5*h**4 + 35*h**3 + 60*h**2 - 20*h - 80 = 0 for h.
-4, -2, 1
Factor -t**5 - 106*t**4 - 2909*t**3 - 5096*t**2 + 8112*t.
-t*(t - 1)*(t + 3)*(t + 52)**2
Factor -28*k**2 - 300*k + 832.
-4*(k + 13)*(7*k - 16)
Find a such that -4*a**2 - 36*a = 0.
-9, 0
Factor 6*d**2/7 + 22*d/7 - 8/7.
2*(d + 4)*(3*d - 1)/7
What is b in 48*b**4 - 1128*b**3 + 6339*b**2 + 3384*b + 432 = 0?
-1/4, 12
Determine w so that 2*w**5/7 - 60*w**4/7 + 268*w**3/7 + 3632*w**2/7 - 11934*w/7 + 1156 = 0.
-7, 1, 2, 17
Determine a so that 6*a**4/7 + 244*a**3/7 - 106*a**2/7 - 976*a/7 + 328/7 = 0.
-41, -2, 1/3, 2
Suppose -u**4 - 2595*u**3 - 2244675*u**2 - 647214625*u = 0. Calculate u.
-865, 0
Determine n, given that -2*n**5 - 17*n**4 - 20*n**3 + 10*n**2 + 22*n + 7 = 0.
-7, -1, -1/2, 1
Factor 3*b**3/2 + 351*b**2/2 - 2199*b/2 + 1845/2.
3*(b - 5)*(b - 1)*(b + 123)/2
Determine h, given that -h**3/3 + 694*h**2/3 = 0.
0, 694
Factor 3*g**5 - 3*g**4 - 3*g**3 + 3*g**2.
3*g**2*(g - 1)**2*(g + 1)
Solve -2*v**5/7 - 62*v**4/7 - 150*v**3/7 + 494*v**2/7 - 40*v = 0 for v.
-28, -5, 0, 1
Let -5*a**3 - 2515*a**2 - 312455*a + 960135 = 0. Calculate a.
-253, 3
Find p such that 3*p**2/4 + 1089*p/4 - 273 = 0.
-364, 1
Factor 62*q**3/7 - 376*q**2/7 + 24*q/7.
2*q*(q - 6)*(31*q - 2)/7
Factor 3*h**2 - 627*h - 630.
3*(h - 210)*(h + 1)
Factor -u**4/2 - 125*u**3 + u**2/2 + 125*u.
-u*(u - 1)*(u + 1)*(u + 250)/2
Factor 4*c**2 - 92*c - 560.
4*(c - 28)*(c + 5)
Determine l so that 4*l**3 - 756*l**2 = 0.
0, 189
What is q in 6*q**2/5 - 456*q/5 + 8664/5 = 0?
38
Factor 387*k**3 + 1155*k**2 - 18*k.
3*k*(k + 3)*(129*k - 2)
Solve -w**5/3 - 7*w**4/3 - 11*w**3/3 + 7*w**2/3 + 4*w = 0.
-4, -3, -1, 0, 1
Factor w**4/8 - 9*w**3 + 683*w**2/4 - 315*w + 1225/8.
(w - 35)**2*(w - 1)**2/8
Suppose s**2 + 816*s + 166464 = 0. What is s?
-408
Determine u, given that -8*u**2/25 + 2*u/5 + 4092/25 = 0.
-22, 93/4
Let 4*r**4 + 232*r**3 - 12*r**2 - 704*r - 464 = 0. What is r?
-58, -1, 2
Factor 5*b**3 + 140*b**2 + 1195*b + 2860.
5*(b + 4)*(b + 11)*(b + 13)
Determine p, given that 21*p**4/5 - 339*p**3/5 + 333*p**2 - 2289*p/5 + 294/5 = 0.
1/7, 2, 7
Factor 2*n**3/11 + 30*n**2/11 + 136*n/11 + 192/11.
2*(n + 3)*(n + 4)*(n + 8)/11
Let r**4 - 17*r**3 + 38*r**2 + 56*r = 0. Calculate r.
-1, 0, 4, 14
Factor -w**3/8 - 25*w**2/8 - 11*w - 21/2.
-(w + 2)**2*(w + 21)/8
Factor -g**4/3 + 5*g**3/3 - 2*g**2/3 - 8*g/3.
-g*(g - 4)*(g - 2)*(g + 1)/3
Factor -o**5 + 59*o**4/3 - 280*o**3/3 - 100*o**2/3.
-o**2*(o - 10)**2*(3*o + 1)/3
Solve 8*w**3 + 26*w**2 - 18 = 0.
-3, -1, 3/4
Factor 2*l**5 - 2*l**4 - 32*l**3 + 32*l**2.
2*l**2*(l - 4)*(l - 1)*(l + 4)
Factor -888*t**3 + 4*t**2 + 888*t - 4.
-4*(t - 1)*(t + 1)*(222*t - 1)
Factor -4*r**3/3 + 13*r**2/3 - 14*r/3 + 5/3.
-(r - 1)**2*(4*r - 5)/3
Factor n**2/6 - 44*n/3.
n*(n - 88)/6
Let 2*n**4 - 100*n**3 + 1034*n**2 + 5400*n + 5832 = 0. What is n?
-2, 27
Determine q so that 172*q**3/9 + 164*q**2/9 - 352*q/9 + 16/9 = 0.
-2, 2/43, 1
Suppose -4*n**4 + 14*n**3 + 90*n**2 - 368*n + 160 = 0. Calculate n.
-5, 1/2, 4
Find g, given that 3*g**4/4 + 3*g**3/2 - 6*g**2 - 27*g/2 - 27/4 = 0.
-3, -1, 3
Factor 507*x**5/2 - 585*x**4 + 831*x**3/2 - 90*x**2 + 6*x.
3*x*(x - 1)**2*(13*x - 2)**2/2
Factor -2*t**3/13 + 46*t**2/13 - 254*t/13 + 210/13.
-2*(t - 15)*(t - 7)*(t - 1)/13
Determine x so that -x**4/4 + 29*x**3 - 1731*x**2/2 + 1197*x + 48735/4 = 0.
-3, 5, 57
Let b**4/4 + b**3 - 33*b**2/4 - b + 8 = 0. Calculate b.
-8, -1, 1, 4
Solve -f**4/4 - 3*f**3/2 - 9*f**2/4 = 0 for f.
-3, 0
Factor x**5/8 + 9*x**4/8 + 7*x**3/4.
x**3*(x + 2)*(x + 7)/8
Factor x**2/2 - 25*x/2.
x*(x - 25)/2
Find d such that 5*d**5/9 - 13*d**4/9 - 31*d**3/9 + 5*d**2/9 + 26*d/9 + 8/9 = 0.
-1, -2/5, 1, 4
Factor -2*g**3 + 54*g**2 + 122*g - 174.
-2*(g - 29)*(g - 1)*(g + 3)
Let -d**4/8 + d**3 - d**2/8 - 21*d/4 = 0. What is d?
-2, 0, 3, 7
Suppose 4*y**3/5 - 360*y**2 + 54000*y - 2700000 = 0. What is y?
150
What is u in 5*u**2 + 1290*u - 1295 = 0?
-259, 1
Factor -2*f**3 + 52*f**2 + 1022*f + 3920.
-2*(f - 40)*(f + 7)**2
Find a, given that 4*a**2 - 68*a + 64 = 0.
1, 16
Let 2*j**4 + 188*j**3 + 4226*j**2 - 9024*j + 4608 = 0. What is j?
-48, 1
Factor -2*o**5 + 38*o**4 + 222*o**3 + 418*o**2 + 332*o + 96.
-2*(o - 24)*(o + 1)**3*(o + 2)
Factor -2*s**5 + 8*s**4 - 12*s**3 + 8*s**2 - 2*s.
-2*s*(s - 1)**4
Factor 5*o**2 - 2010*o + 202005.
5*(o - 201)**2
Factor 4*x**4 - 2676*x**3 + 23868*x**2 - 71388*x + 71280.
4*(x - 660)*(x - 3)**3
Factor 4*r**2 - 912*r + 51984.
4*(r - 114)**2
Let 3*n**4/2 - 24*n**3 + 87*n**2/2 - 21*n = 0. What is n?
0, 1, 14
Determine q, given that -2*q**3/5 + 6*q**2 + 68*q/5 = 0.
-2, 0, 17
Suppose u**2 - 22*u - 75 = 0. Calculate u.
-3, 25
Factor 5*g**5 + 15*g**4 - 170*g**3 + 260*g**2 + 120*g - 320.
5*(g - 2)**3*(g + 1)*(g + 8)
Suppose -2*n**3 + 418*n**2 + 1696*n + 1704 = 0. What is n?
-2, 213
Factor -q**5/2 + 7*q**4/2 - 5*q**3 - q**2 + 11*q/2 - 5/2.
-(q - 5)*(q - 1)**3*(q + 1)/2
Solve -3*x**2/7 - 30*x/7 - 9 = 0.
-7, -3
Determine a so that -12*a**4 - 33*a**3 + 129*a**2 - 30*a = 0.
-5, 0, 1/4, 2
Let -3*j**4/2 + 9*j**3/2 - 3*j**2/2 - 9*j/2 + 3 = 0. Calculate j.
-1, 1, 2
Let -6*n**2/7 - 279*n/7 - 783/7 = 0. Calculate n.
-87/2, -3
Find k such that -5*k**5 + 5*k**4 + 40*k**3 - 60*k**2 = 0.
-3, 0, 2
Suppose f**4/2 - 9*f**2/2 - 2*f + 6 = 0. Calculate f.
-2, 1, 3
Solve -3*u**2/5 - 942*u - 369735 = 0.
-785
Factor 4*b**4 - 80*b**3 + 308*b**2 + 968*b.
4*b*(b - 11)**2*(b + 2)
Determine t so that -2*t**2 - 156*t - 450 = 0.
-75, -3
Factor 4*p**3/7 + 524*p**2/7 - 1076*p/7 - 228.
4*(p - 3)*(p + 1)*(p + 133)/7
Let -l**3/2 - 9*l**2 + 85*l/2 - 33 = 0. What is l?
-22, 1, 3
Factor 3*z**3 + 24*z**2 + 39*z + 18.
3*(z + 1)**2*(z + 6)
Factor -5*g**3 - 65*g**2 - 230*g - 240.
-5*(g + 2)*(g + 3)*(g + 8)
Factor 4*b**5 - 12*b**4 + 4*b**3 + 12*b**2 - 8*b.
4*b*(b - 2)*(b - 1)**2*(b + 1)
Solve 12*n**5 + 172*n**4 + 872*n**3 + 1904*n**2 + 1696*n + 384 = 0.
-6, -4, -2, -1/3
Let -t**5/2 + 11*t**4/2 - 27*t**3/2 - 11*t**2/2 + 14*t = 0. Calculate t.
-1, 0, 1, 4, 7
Find u, given that -5*u**4 + 15*u**3 + 35*u**2 - 135*u + 90 = 0.
-3, 1, 2, 3
Find t such that 5*t**5 - 80*t**4 + 40*t**3 + 1730*t**2 - 4845*t + 3150 = 0.
-5, 1, 3, 14
Let -2*g**2/3 - 1232*g/3 - 189728/3 = 0. Calculate g.
-308
Solve y**4/9 - 97*y**3/9 + 62*y**2/3 + 388*y/9 - 760/9 = 0.
-2, 2, 95
Let y**2/7 - 111*y/7 = 0. Calculate y.
0, 111
Solve 16*z**4/7 - 114*z**3/7 - 2*z**2/7 + 114*z/7 - 2 = 0.
-1, 1/8, 1, 7
Factor -s**4/3 - 26*s**3 - 100*s**2 - 296*s/3.
-s*(s + 2)**2*(s + 74)/3
Factor l**2 - 2*l - 35.
(l - 7)*(l + 5)
Solve 5*r**3 - 35*r**2 + 55*r - 25 = 0.
1, 5
Find w such that -3*w**5 + 57*w**4 + 207*w**3 - 177*w**2 - 480*w + 396 = 0.
-3, -2, 1, 22
Factor -2*l**2 + 22188*l - 61538418.
-2*(l - 5547)**2
Factor -4*y**4/3 + 20*y**3/3 - 8*y**2.
-4*y**2*(y - 3)*(y - 2)/3
Factor 4*n**2 + 124*n - 128.
4*(n - 1)*(n + 32)
Factor -6*t**2 + 428*t + 288.
-2*(t - 72)*(3*t + 2)
Determine p, given that -p**4 + 47*p**3 - 743*p**2 + 4165*p - 3468 = 0.
1, 12, 17
Let -4*d**3 - 20*d**2 - 16*d = 0. Calculate d.
-4, -1, 0
Factor -4*d**2 + 144*d - 1296.
-4*(d - 18)**2
Solve -3*s**4/2 + 45*s**3/2 + 114*s**2 = 0.
-4, 0, 19
Find w such that -12*w**5 - 436*w**4 - 3576*w**3 + 7064*w**2 - 1596*w - 1444 = 0.
-19, -1/3, 1
Factor -30*r**4 - 7*r**3.
-r**3*(30*r + 7)
Find v, given that -4*v**3/5 + 44*v**2/5 + 56*v - 1568/5 = 0.
-7, 4, 14
Suppose -d**5 + 33*d**4 - 253*d**3 - 357*d**2 + 578*d = 0. What is d?
-2, 0, 1, 17
Find s, given that 2*s**3/3 + 8*s**2 + 82*s/3 + 20 = 0.
-6, -5, -1
Suppose 833*f**5/2 - 38241*f**4/4 + 8840*f**3 - 2210*f**2 - 24*f + 44 = 0. What is f?
-2/17, 2/7, 1/2, 22
Solve -2*m**4/5 - 638*m**3/5 - 13482*m**2 - 2312698*m/5 + 4900172/5 = 0.
-107, 2
Determine k so that k**3/8 - 453*k**2/8 + 903*k/8 - 451/8 = 0.
1, 451
What is l in -355*l**2 - 2132*l/3 - 4/3 = 0?
-2, -2/1065
Determine h so that -4*h**4 + 32*h**3 - 48*h**2 = 0.
0, 2, 6
Factor -2*x**4/9 + 46*x**3/9 - 310*x**2/9 