r a**2 + 24*a + 80.
(a + 4)*(a + 20)
Let 2*i**3/7 + 52*i**2/7 - 110*i/7 + 8 = 0. What is i?
-28, 1
Find q such that 5*q**5 - 2*q**4 - 75*q**3 - 20*q**2 + 140*q - 48 = 0.
-3, -2, 2/5, 1, 4
Factor -4*g**3 - 84*g**2 - 344*g - 384.
-4*(g + 2)*(g + 3)*(g + 16)
Suppose 4*p**4 + 21*p**3 + 40*p**2 + 33*p + 10 = 0. What is p?
-2, -5/4, -1
Factor -2*t**2/15 - 976*t/15 + 982/5.
-2*(t - 3)*(t + 491)/15
Solve 8*u**5 + 92*u**4 + 380*u**3 + 712*u**2 + 592*u + 160 = 0.
-5, -2, -1/2
Suppose -2*d**3/5 + 64*d**2/5 - 438*d/5 - 504/5 = 0. What is d?
-1, 12, 21
Factor 3*v**2 + 33*v.
3*v*(v + 11)
Factor b**3 + 127*b**2 + 943*b - 1071.
(b - 1)*(b + 9)*(b + 119)
Solve -8*y**5/7 - 836*y**4/7 - 22856*y**3/7 - 7548*y**2 - 20808*y/7 = 0 for y.
-51, -2, -1/2, 0
What is h in h**4 - 62*h**3/3 + 7*h**2 + 374*h/3 + 40 = 0?
-2, -1/3, 3, 20
Solve -18*r**5 - 21*r**4 + 249*r**3 + 474*r**2 + 72*r = 0 for r.
-3, -2, -1/6, 0, 4
Factor r**2/2 + 45*r + 89/2.
(r + 1)*(r + 89)/2
Factor -48*w**3 - 2232*w**2 - 1107*w - 138.
-3*(w + 46)*(4*w + 1)**2
Factor 2*v**3/9 + 1028*v**2/9 - 4136*v/9 + 4144/9.
2*(v - 2)**2*(v + 518)/9
What is l in -2*l**5/11 - 2*l**4 + 114*l**3/11 - 98*l**2/11 - 112*l/11 + 120/11 = 0?
-15, -1, 1, 2
Find o, given that -5*o**3/2 - 105*o**2 - 380*o = 0.
-38, -4, 0
Solve m**2 + 26*m - 27 = 0.
-27, 1
Solve -2*y**2/11 + 20*y = 0.
0, 110
Determine i, given that 5*i**3/3 + 725*i**2/3 + 1435*i/3 + 715/3 = 0.
-143, -1
Determine p, given that -p**4 - 2*p**3 + 9*p**2 + 18*p = 0.
-3, -2, 0, 3
Suppose a**5/5 + 4*a**4 + 74*a**3/5 - 308*a**2/5 - 363*a/5 = 0. What is a?
-11, -1, 0, 3
Suppose h**4/2 - 22*h**3 + 263*h**2 - 462*h + 441/2 = 0. What is h?
1, 21
Let 6*a**2 + 207*a + 297 = 0. What is a?
-33, -3/2
Find p, given that 3*p**5 - 19*p**4 + 39*p**3 - 29*p**2 + 6*p = 0.
0, 1/3, 1, 2, 3
Find z such that 2*z**5 - 6*z**4 - 6*z**3 + 14*z**2 + 12*z = 0.
-1, 0, 2, 3
Solve 3*p**3 - 192*p**2 - 195*p = 0.
-1, 0, 65
Factor 5*x**2 + 220*x - 2385.
5*(x - 9)*(x + 53)
Factor 12*d**4 - 52*d**3 + 56*d**2 + 16*d - 32.
4*(d - 2)**2*(d - 1)*(3*d + 2)
Solve 5*r**5 + 215*r**4 + 615*r**3 + 605*r**2 + 200*r = 0.
-40, -1, 0
Factor 15*q**3 + 185*q**2 - 390*q - 560.
5*(q + 1)*(q + 14)*(3*q - 8)
Let 4*p**5/7 - 36*p**4/7 + 4*p**3 + 36*p**2/7 - 32*p/7 = 0. Calculate p.
-1, 0, 1, 8
What is f in -2*f**2 + 1128*f - 2248 = 0?
2, 562
Factor -7*r**3 - 530*r**2 - 9956*r + 2888.
-(r + 38)**2*(7*r - 2)
Find h, given that -5*h**2 - 655*h + 3400 = 0.
-136, 5
Solve 3*v**3/5 + 36*v**2/5 - 9*v - 78/5 = 0.
-13, -1, 2
Let -10*v**4 + 25*v**3 + 75*v**2 - 225*v + 135 = 0. Calculate v.
-3, 1, 3/2, 3
Solve 17*g**5 - 91*g**4 + 98*g**3 - 24*g**2 = 0 for g.
0, 6/17, 1, 4
Suppose -3*z**4 - 24*z**3 - 21*z**2 + 216*z + 432 = 0. Calculate z.
-4, -3, 3
Determine n so that 2*n**3/13 - 8*n**2/13 - 6*n - 108/13 = 0.
-3, -2, 9
Determine v, given that 2*v**4/7 - 34*v**3/7 + 156*v**2/7 - 64*v/7 - 256/7 = 0.
-1, 2, 8
Find z such that -z**4/10 + 9*z**3/10 - 14*z**2/5 + 18*z/5 - 8/5 = 0.
1, 2, 4
Determine j so that -2*j**5 - 14*j**4 - 30*j**3 - 10*j**2 + 32*j + 24 = 0.
-3, -2, -1, 1
Factor -9*k**4/5 + 42*k**3/5 - 61*k**2/5 + 28*k/5 - 4/5.
-(k - 2)**2*(3*k - 1)**2/5
Factor 3*k**3 - 9*k**2 + 9*k - 3.
3*(k - 1)**3
Find n, given that -n**2/7 - 100*n/7 - 2500/7 = 0.
-50
Find o such that 2*o**5/11 + 16*o**4/11 + 4*o**3 + 56*o**2/11 + 34*o/11 + 8/11 = 0.
-4, -1
Factor -2*b**2/11 - 2*b/11 + 112/11.
-2*(b - 7)*(b + 8)/11
Let -2*r**5/5 + 2*r**4/5 + 8*r**3/5 - 8*r**2/5 = 0. What is r?
-2, 0, 1, 2
Let 121*q**5 + 1199*q**4 + 399*q**3 - 4851*q**2 + 4104*q - 972 = 0. Calculate q.
-9, -3, 6/11, 1
Let -2*i**5/7 - 60*i**4/7 - 58*i**3/7 = 0. What is i?
-29, -1, 0
Factor 2*q**2/11 - 2*q/11 - 4/11.
2*(q - 2)*(q + 1)/11
Factor 3*u**2 + 1167*u + 2322.
3*(u + 2)*(u + 387)
Find v such that 2*v**4 + 22*v**3 + 30*v**2 - 54*v = 0.
-9, -3, 0, 1
Factor y**2 - 12*y.
y*(y - 12)
Factor -2*z**5/7 + 26*z**4/7 - 24*z**3/7.
-2*z**3*(z - 12)*(z - 1)/7
Factor -3*t**3/4 - 21*t**2/2 + 93*t/4 - 12.
-3*(t - 1)**2*(t + 16)/4
Factor -2*g**2 - 2980*g - 1110050.
-2*(g + 745)**2
Let -4*m**5 - 200*m**4 = 0. Calculate m.
-50, 0
Solve -4*b**2/7 - 14720*b/7 + 14724/7 = 0 for b.
-3681, 1
What is w in 4*w**5 - 4*w**4 - 120*w**3 + 288*w**2 = 0?
-6, 0, 3, 4
Determine v, given that -v**4/3 + 182*v**3/3 - 2699*v**2 - 16744*v/3 - 8464/3 = 0.
-1, 92
Factor 5*k**2/2 + 230*k - 3120.
5*(k - 12)*(k + 104)/2
Determine p so that -p**3/7 + 64*p**2/7 - 884*p/7 - 4624/7 = 0.
-4, 34
Factor 6*u**3 + 9*u**2 - 87*u - 180.
3*(u - 4)*(u + 3)*(2*u + 5)
Let -2*q**4/11 + 8*q**3/11 + 6*q**2/11 - 36*q/11 = 0. Calculate q.
-2, 0, 3
Solve i**2/4 - 9*i/4 = 0.
0, 9
Factor 4*w**4/3 - 64*w**3/3 - 140*w**2/3 - 24*w.
4*w*(w - 18)*(w + 1)**2/3
Factor -3*m**2/8 + 1164*m - 903264.
-3*(m - 1552)**2/8
Suppose -4*h**3 - 52*h**2 + 20608*h + 668656 = 0. What is h?
-46, 79
Find m, given that -2*m**4 + 46*m**3 + 100*m**2 = 0.
-2, 0, 25
Find l such that 5*l**5 - 150*l**4 + 955*l**3 + 2710*l**2 - 960*l - 2560 = 0.
-2, -1, 1, 16
Determine u, given that 2*u**4/23 - 20*u**3/23 - 242*u**2/23 + 836*u/23 - 576/23 = 0.
-9, 1, 2, 16
Determine b, given that 16*b**3 + 2868*b**2 + 130296*b + 158420 = 0.
-89, -5/4
Suppose -8*c**5/5 + 2*c**4/5 = 0. Calculate c.
0, 1/4
Find j such that -j**3/2 - 3*j**2 + 55*j/2 = 0.
-11, 0, 5
Factor 4*u**2/7 - 634*u/7 - 318/7.
2*(u - 159)*(2*u + 1)/7
Factor 3406*n**3/17 + 3408*n**2/17 + 2*n/17.
2*n*(n + 1)*(1703*n + 1)/17
Determine l so that -4*l**4 - 4*l**3 + 88*l**2 - 176*l + 96 = 0.
-6, 1, 2
Solve p**4 + 38*p**3 + 348*p**2 + 936*p = 0 for p.
-26, -6, 0
Factor -l**2/2 + 12*l - 72.
-(l - 12)**2/2
Factor -2*t**4/9 - 172*t**3/9 + 176*t**2/3 - 532*t/9 + 178/9.
-2*(t - 1)**3*(t + 89)/9
Find l such that 16*l**5 + 432*l**4 + 4020*l**3 + 14072*l**2 + 11268*l + 2592 = 0.
-9, -8, -1/2
Solve 320*p**4 + 342800*p**3 + 770220*p**2 + 577395*p + 144315 = 0.
-1069, -3/4
Factor n**3/2 + 3*n**2/2 - 2.
(n - 1)*(n + 2)**2/2
Let -a**3 - 82*a**2 - 1596*a + 3528 = 0. Calculate a.
-42, 2
Determine h so that h**5 - 123*h**4/4 + 725*h**3/4 + 3385*h**2/4 + 3111*h/4 + 289/2 = 0.
-2, -1, -1/4, 17
Find f, given that -f**3/4 - 89*f**2/4 - 175*f/4 - 87/4 = 0.
-87, -1
Factor 2*a**3 - 24*a**2 - 306*a - 280.
2*(a - 20)*(a + 1)*(a + 7)
Factor -2*f**3 + 56*f**2 + 58*f.
-2*f*(f - 29)*(f + 1)
Factor y**2/6 + y + 5/6.
(y + 1)*(y + 5)/6
Let -4*d**2 + 104*d - 640 = 0. What is d?
10, 16
Solve h**4 - 3*h**3 - h**2 + 3*h = 0.
-1, 0, 1, 3
Factor m**3 + 7*m**2 - 28*m + 20.
(m - 2)*(m - 1)*(m + 10)
Suppose s**2/8 - 263*s/8 + 261/4 = 0. Calculate s.
2, 261
Factor v**4/6 - v**3/6 - 5*v**2/2 - 23*v/6 - 5/3.
(v - 5)*(v + 1)**2*(v + 2)/6
Factor r**5/4 + 113*r**4/4 + 2351*r**3/2 + 43263*r**2/2 + 663201*r/4 + 1760913/4.
(r + 7)**2*(r + 33)**3/4
Suppose -f**3 + 24*f**2 + f - 24 = 0. What is f?
-1, 1, 24
Suppose 3*a**5 + 3*a**4 - 21*a**3 - 39*a**2 - 18*a = 0. What is a?
-2, -1, 0, 3
Factor u**2 - 138*u - 139.
(u - 139)*(u + 1)
Factor u**2 - 876*u + 191844.
(u - 438)**2
Factor -35*r**3 - 46*r**2 + 44*r - 8.
-(r + 2)*(5*r - 2)*(7*r - 2)
Determine t so that 8*t**3 + 124*t**2 - 1064*t + 1760 = 0.
-22, 5/2, 4
Determine s, given that 3*s**5 + 27*s**4 + 33*s**3 - 63*s**2 = 0.
-7, -3, 0, 1
Suppose 5*z**2/4 + 10705*z/4 = 0. What is z?
-2141, 0
Factor 15*j**4 - 115*j**3 + 260*j**2 - 160*j.
5*j*(j - 4)*(j - 1)*(3*j - 8)
Factor 3*k**2 - 36*k + 33.
3*(k - 11)*(k - 1)
Suppose -x**5/2 + 292*x**4 - 1161*x**3/2 - 875*x**2 + 1162*x + 1164 = 0. What is x?
-1, 2, 582
Factor 2*n**3 - 50*n**2 - 1428*n.
2*n*(n - 42)*(n + 17)
Suppose 5*y**5 - 66*y**4 + 263*y**3 - 210*y**2 - 448*y + 96 = 0. What is y?
-1, 1/5, 4, 6
Factor 4*p**2/3 - 154*p/3 - 26.
2*(p - 39)*(2*p + 1)/3
Factor 436*c**4/7 + 1310*c**3/7 + 6*c**2/7.
2*c**2*(c + 3)*(218*c + 1)/7
Find p such that -21*p**5/5 + 27*p**4/5 - 6*p**3/5 = 0.
0, 2/7, 1
Suppose 2*a**4/13 + 6632*a**3/13 + 13258*a**2/13 + 6628*a/13 = 0. What is a?
-3314, -1, 0
Let -s**2/6 + 23*s/6 + 25/3 = 0. What is s?
-2, 25
Solve -12*u**2 + 1592*u + 3232 = 0.
-2, 404/3
Find g, given that 2*g**5/7 - 58*g**4/7 + 8*g**3 = 0.
0, 1, 28
Let -5*y**5 + 10*y**4 + 60*y**3 - 200*y**2 + 160*y = 0. What is y?
-4, 0, 2
Solve -3*i**3/5 - 238*i**2/5 - 77*i/5 + 158/5 = 0.
-79, -1, 2/3
Find l, given that l**5 + 6*l**4 + 2*l**3 - 48*l**2 - 99*l - 54 = 0.
-3, -2, -1, 3
Let t**3/11 - 137*t**2/11 - 140*