495*y.
-5*y*(y + 11)*(2*y + 3)**2
Factor j**2/6 - 265*j/6 - 364.
(j - 273)*(j + 8)/6
Determine t, given that -5*t**2 + 570*t - 16245 = 0.
57
Solve 3*h**3/5 + 2556*h**2/5 - 2052*h + 10272/5 = 0 for h.
-856, 2
Suppose 2*x**5/7 + 884*x**4/7 + 96794*x**3/7 - 196248*x**2/7 + 98568*x/7 = 0. Calculate x.
-222, 0, 1
Factor w**4 - 15*w**3 - 171*w**2 + 383*w - 198.
(w - 22)*(w - 1)**2*(w + 9)
Suppose -4*h**4 + 20*h**3 + 172*h**2 + 268*h + 120 = 0. Calculate h.
-3, -1, 10
What is q in 21*q**5 - 111*q**4 + 198*q**3 - 132*q**2 + 24*q = 0?
0, 2/7, 1, 2
Solve 3*z**2 - 78*z + 264 = 0 for z.
4, 22
Find u such that 16*u**4/15 - 46*u**3/15 + 26*u**2/15 + 4*u/15 = 0.
-1/8, 0, 1, 2
Solve 6*r**5/17 - 76*r**4/17 + 108*r**3/17 + 32*r**2/17 - 114*r/17 + 44/17 = 0.
-1, 2/3, 1, 11
Factor 5*t**2 + 60*t + 55.
5*(t + 1)*(t + 11)
Determine n so that 2*n**5/3 - 22*n**3/3 + 12*n**2 - 16*n/3 = 0.
-4, 0, 1, 2
Suppose 3*f**3/7 - 69*f**2/7 + 129*f/7 - 9 = 0. Calculate f.
1, 21
Solve -2*t**2 + 1508*t - 284258 = 0 for t.
377
Factor k**5/7 - 25*k**3/7.
k**3*(k - 5)*(k + 5)/7
What is o in 2*o**2/11 + 266*o/11 - 540/11 = 0?
-135, 2
Solve -5*h**2 + 230*h - 840 = 0.
4, 42
Solve -50*j**5/9 - 380*j**4/3 - 2896*j**3/3 - 24416*j**2/9 - 5216*j/3 - 320 = 0 for j.
-10, -6, -2/5
Factor -20*w**2 - 83*w + 22.
-(4*w - 1)*(5*w + 22)
Factor -y**2/2 - 17*y/2.
-y*(y + 17)/2
Factor -3*k**2 - 84*k - 513.
-3*(k + 9)*(k + 19)
Let -18*z**4 + 111*z**3 - 147*z**2 - 66*z + 120 = 0. What is z?
-5/6, 1, 2, 4
Solve k**3/5 - 202*k**2/5 = 0 for k.
0, 202
Solve -7*v**2 - 79*v - 22 = 0.
-11, -2/7
Determine q so that -60*q**5 + 19955*q**4 + 28375*q**3 + 5020*q**2 - 3340*q = 0.
-1, -2/3, 0, 1/4, 334
Suppose -2*m**5/5 + 16*m**4/5 - 4*m**3/5 - 32*m**2 + 30*m = 0. What is m?
-3, 0, 1, 5
Solve w**4/5 - 7*w**3/5 - 3*w**2 + 171*w/5 - 54 = 0.
-5, 3, 6
Factor 3*l**3 - 36*l + 48.
3*(l - 2)**2*(l + 4)
Factor 2*w**3/11 + 16*w**2/11 + 30*w/11.
2*w*(w + 3)*(w + 5)/11
Suppose -c**5 + 2*c**3 - c = 0. What is c?
-1, 0, 1
Let s**5/2 - 4*s**4 - 3*s**3 + 58*s**2 - 187*s/2 + 42 = 0. Calculate s.
-4, 1, 3, 7
Determine j so that j**5 - 4*j**4 - 22*j**3 + 4*j**2 + 21*j = 0.
-3, -1, 0, 1, 7
Factor 2*f**2/3 - 1708*f/3 + 364658/3.
2*(f - 427)**2/3
Factor -q**3 - 145*q**2 - 5183*q + 5329.
-(q - 1)*(q + 73)**2
Factor 4*z**4 - 8*z**3 - 16*z**2 + 8*z + 12.
4*(z - 3)*(z - 1)*(z + 1)**2
Factor 2*h**3 - 44*h**2 - 128*h + 5120.
2*(h - 16)**2*(h + 10)
Let -3*r**5 - 246*r**4 - 6786*r**3 - 64152*r**2 - 19683*r + 354294 = 0. Calculate r.
-27, -3, 2
Find f, given that -15*f**5 - 215*f**4 - 1165*f**3 - 2885*f**2 - 3000*f - 720 = 0.
-4, -3, -1/3
Factor -3*w**2 - 114*w - 495.
-3*(w + 5)*(w + 33)
Let -8*i**2/7 - 4*i + 16/7 = 0. Calculate i.
-4, 1/2
Factor 4*r**5 + 16*r**4 + 24*r**3 + 16*r**2 + 4*r.
4*r*(r + 1)**4
Factor -2*l**3/9 + 274*l**2/9.
-2*l**2*(l - 137)/9
Let 2*b**2/11 + 68*b - 1504/11 = 0. Calculate b.
-376, 2
Determine u so that 2*u**2 + 238*u - 240 = 0.
-120, 1
Factor -i**2/4 + i/2 + 30.
-(i - 12)*(i + 10)/4
Suppose -2*b**4/11 + 292*b**3/11 + 2438*b**2/11 + 3992*b/11 + 168 = 0. Calculate b.
-6, -1, 154
Factor -4*a**3/7 + 8852*a**2/7.
-4*a**2*(a - 2213)/7
Solve -10*b**3 + 45*b**2 - 50*b + 15 = 0.
1/2, 1, 3
Factor -5*c**4 - 145*c**3 + 20*c**2 + 580*c.
-5*c*(c - 2)*(c + 2)*(c + 29)
Factor -a**2/4 - 31*a + 63.
-(a - 2)*(a + 126)/4
Factor -4*m**2 - 872*m + 876.
-4*(m - 1)*(m + 219)
Let p**5 - 21*p**4 + 13*p**3 + 153*p**2 - 266*p + 120 = 0. Calculate p.
-3, 1, 2, 20
Find k, given that -3*k**3/2 + 153*k**2/2 + 3*k/2 - 153/2 = 0.
-1, 1, 51
Factor 2*n**3/19 - 22*n**2/19 - 50*n/19 - 26/19.
2*(n - 13)*(n + 1)**2/19
Solve 2*d**3 + 6*d**2 - 8*d = 0.
-4, 0, 1
Factor -3*b**3/8 + 75*b**2/8 - 129*b/4 - 105.
-3*(b - 20)*(b - 7)*(b + 2)/8
Let -w**4/3 - 34*w**3/3 - 109*w**2/3 + 108*w - 60 = 0. What is w?
-30, -6, 1
Factor 4*l**3/7 - 16*l**2 - 496*l/7 - 512/7.
4*(l - 32)*(l + 2)**2/7
What is x in -26*x**4 + 56376*x**3 - 397394408*x**2/13 + 122223168*x/13 - 9400448/13 = 0?
2/13, 1084
Determine h so that 2*h**2/3 + 152*h/3 - 154/3 = 0.
-77, 1
Determine d, given that -d**2 - 14*d = 0.
-14, 0
Suppose -3*j**2 + 415*j - 412 = 0. Calculate j.
1, 412/3
Factor -4*d**2/3 - 160*d/3 + 368.
-4*(d - 6)*(d + 46)/3
Determine r, given that -4*r**5 + 68*r**4 - 164*r**3 - 548*r**2 - 312*r = 0.
-1, 0, 6, 13
Find x such that 27*x**2 + 534*x + 960 = 0.
-160/9, -2
Determine a, given that a**3 + 43*a**2 + 359*a - 403 = 0.
-31, -13, 1
Factor -2*h**3/7 - 204*h**2/7 + 2*h/7 + 204/7.
-2*(h - 1)*(h + 1)*(h + 102)/7
Factor -j**2/6 + 9*j/2 - 25/3.
-(j - 25)*(j - 2)/6
Solve -j**2/3 - 121*j + 364/3 = 0 for j.
-364, 1
Factor 6*x**2 + 15*x + 6.
3*(x + 2)*(2*x + 1)
Suppose 121*c**4/4 - 913*c**3/4 + 1197*c**2/4 - 459*c/4 + 27/2 = 0. Calculate c.
3/11, 1, 6
Factor -v**5/6 + 25*v**4 - 1140*v**3 + 15480*v**2 - 83160*v + 156816.
-(v - 66)**2*(v - 6)**3/6
Solve -3*f**2/7 - 1122*f/7 + 1125/7 = 0.
-375, 1
Find s, given that s**3/4 + 147*s**2/4 - 37*s = 0.
-148, 0, 1
Suppose -4*j**2/5 - 276*j/5 + 56 = 0. Calculate j.
-70, 1
Solve -a**2/3 - 416*a/3 - 43264/3 = 0 for a.
-208
Factor -4*a**4 + 200*a**3 + 212*a**2 - 408*a.
-4*a*(a - 51)*(a - 1)*(a + 2)
Determine w, given that 20*w**4/7 + 178*w**3/7 - 222*w**2/7 - 16*w/7 + 40/7 = 0.
-10, -2/5, 1/2, 1
Find o such that -3*o**4/5 + 6*o**3 + 123*o**2/5 - 1206*o/5 - 1296/5 = 0.
-6, -1, 8, 9
Factor h**5 - 2*h**4 - 11*h**3 + 40*h**2 - 44*h + 16.
(h - 2)**2*(h - 1)**2*(h + 4)
Factor j**2 - 74*j + 345.
(j - 69)*(j - 5)
Let -48*q**5 + 120*q**4 - 27*q**3 - 120*q**2 + 75*q = 0. Calculate q.
-1, 0, 1, 5/4
Let -8*m**4/13 - 42*m**3/13 - 42*m**2/13 - 8*m/13 = 0. What is m?
-4, -1, -1/4, 0
Let 5*u**3 + 80*u**2 + 405*u + 630 = 0. What is u?
-7, -6, -3
Factor 5*k**4 - 15*k**3 + 20*k.
5*k*(k - 2)**2*(k + 1)
Factor 4*y**3/9 - 7264*y**2/9 + 14516*y/9 - 7256/9.
4*(y - 1814)*(y - 1)**2/9
Factor -o**2 + 1140*o - 2276.
-(o - 1138)*(o - 2)
Suppose -5*i**2/3 - 4*i + 17/3 = 0. What is i?
-17/5, 1
Suppose 106*f**2/3 + 269*f/3 + 10/3 = 0. Calculate f.
-5/2, -2/53
Factor d**3 - 2*d**2 + d.
d*(d - 1)**2
Factor r**3/3 + 3*r**2 - 10*r/3.
r*(r - 1)*(r + 10)/3
Factor -l**2 - 164*l - 6724.
-(l + 82)**2
Factor g**3/6 - 35*g**2/6 - 99*g/2 + 4617/2.
(g - 27)**2*(g + 19)/6
Factor 25*g**5 - 205*g**4 + 19*g**3 + 177*g**2 - 72*g.
g*(g - 8)*(g + 1)*(5*g - 3)**2
Solve -10*w**4/3 + 14*w**3/3 + 2*w**2 - 14*w/3 + 4/3 = 0 for w.
-1, 2/5, 1
Suppose 6*m**5 - 33*m**4 + 12*m**3 + 15*m**2 = 0. What is m?
-1/2, 0, 1, 5
Let -w**2/6 - 31*w/6 + 402 = 0. Calculate w.
-67, 36
Factor -i**3/3 - 19*i**2/3 - 34*i/3.
-i*(i + 2)*(i + 17)/3
Determine f, given that -f**2/3 + 3 = 0.
-3, 3
Determine k, given that -k**3/3 + 59*k**2 - 2640*k + 7744/3 = 0.
1, 88
Factor 5*w**2 - 945*w + 2790.
5*(w - 186)*(w - 3)
Determine i, given that 5*i**4 - 645*i**3 + 2525*i**2 - 3135*i + 1250 = 0.
1, 2, 125
Find s, given that s**2 - 404*s - 812 = 0.
-2, 406
Factor 39*x**3 + 3543*x**2 + 2964*x - 540.
3*(x + 1)*(x + 90)*(13*x - 2)
Let 3*n**5/4 + 45*n**4/4 - 171*n**3/4 - 141*n**2/4 + 99*n + 81 = 0. Calculate n.
-18, -1, 2, 3
Factor a**2/5 - 34*a + 1445.
(a - 85)**2/5
Factor -j**5 - 198*j**4 - 9189*j**3 + 60588*j**2 - 93636*j.
-j*(j - 3)**2*(j + 102)**2
Suppose -3*r**2 + 21*r + 90 = 0. Calculate r.
-3, 10
Determine a, given that 2*a**4/9 + 2*a**3 + 58*a**2/9 + 26*a/3 + 4 = 0.
-3, -2, -1
Solve -d**4/3 + 776*d**3/3 - 75272*d**2 + 29205536*d/3 - 1416468496/3 = 0.
194
Let -x**2/9 - 826*x/9 - 275/3 = 0. Calculate x.
-825, -1
Factor -3*r**2/7 + 114*r/7 - 783/7.
-3*(r - 29)*(r - 9)/7
Suppose 3*t**2 - 228*t + 4332 = 0. What is t?
38
Factor -4*o**2 - 4*o + 80.
-4*(o - 4)*(o + 5)
Factor -2*u**4 - 80*u**3 - 358*u**2 - 280*u.
-2*u*(u + 1)*(u + 4)*(u + 35)
Factor -s**5/4 + 11*s**4 + 48*s**3.
-s**3*(s - 48)*(s + 4)/4
Factor -f**2/6 + 16*f + 98/3.
-(f - 98)*(f + 2)/6
Factor -5*p**5 + 110*p**4 - 705*p**3 + 1100*p**2 - 500*p.
-5*p*(p - 10)**2*(p - 1)**2
Let -l**4 + 323*l**3 - 3768*l**2 + 11196*l = 0. What is l?
0, 6, 311
Determine s, given that -3*s**4/7 - 6*s**3 - 180*s**2/7 - 312*s/7 - 192/7 = 0.
-8, -2
Factor 28*b**2 - 762*b + 162.
2*(b - 27)*(14*b - 3)
Factor -g**3/3 + 145*g**2/3 + g/3 - 145/3.
-(g - 145)*(g - 1)*(g + 1)/3
Factor 3*f**2 + 54*f + 51.
3*(f + 1)*(f + 17)
Factor 5*a**2 + 4630*a + 1071845.
5*(a + 463)**2
Factor 2*v**5 + 14*v**4 + 30*v**3 + 26*v**2 + 8*v.
2