8*b/3 + 8/9 = 0. Calculate b.
-1, 2/3, 1
Factor 375*w**4 - 200*w**3 + 65*w**2/3 - 2*w/3.
w*(5*w - 2)*(15*w - 1)**2/3
Suppose -129*y**2 - 522*y - 24 = 0. What is y?
-4, -2/43
Solve 5*p**5/3 - 155*p**4/3 - 5*p**3/3 + 155*p**2/3 = 0 for p.
-1, 0, 1, 31
Factor r**4/5 + 3*r**3/5 - 3*r**2/5 - 11*r/5 - 6/5.
(r - 2)*(r + 1)**2*(r + 3)/5
Suppose -4*f**4 + 44*f**3 - 96*f**2 - 144*f = 0. Calculate f.
-1, 0, 6
Factor -168*w**3 - 501*w**2 - 327*w + 6.
-3*(w + 1)*(w + 2)*(56*w - 1)
Let -2*r**2 - 2*r + 4 = 0. What is r?
-2, 1
Factor -12*i**5 + 9*i**3 - 3*i**2.
-3*i**2*(i + 1)*(2*i - 1)**2
Let -3*w**5 + 27*w**4/4 + 51*w**3/2 - 51*w**2/4 - 45*w/2 + 6 = 0. Calculate w.
-2, -1, 1/4, 1, 4
Let -8*d**2/7 - 190*d/7 + 48/7 = 0. Calculate d.
-24, 1/4
Factor y**4/5 + 6*y**3/5 - 16*y**2/5.
y**2*(y - 2)*(y + 8)/5
Factor 11*m**3/6 + 208*m**2/3 - 478*m/3 + 80/3.
(m - 2)*(m + 40)*(11*m - 2)/6
Factor -5*o**2 + 15*o + 50.
-5*(o - 5)*(o + 2)
Find p, given that 15*p**5 + 77*p**4/2 - 44*p**3 - 156*p**2 - 64*p + 8 = 0.
-2, -2/3, 1/10, 2
Let l**5 + 16*l**4 - l**3 - 16*l**2 = 0. What is l?
-16, -1, 0, 1
Suppose l**5 + 12*l**4 + 30*l**3 + 28*l**2 + 9*l = 0. What is l?
-9, -1, 0
What is p in 3*p**3 - 9*p**2 + 6*p = 0?
0, 1, 2
What is z in -3*z**3/7 - 30*z**2/7 - 72*z/7 = 0?
-6, -4, 0
Factor 3*g**2 + 993*g + 1974.
3*(g + 2)*(g + 329)
Factor 3*m**4 + 471*m**3 + 465*m**2 - 471*m - 468.
3*(m - 1)*(m + 1)**2*(m + 156)
Suppose 4*f**5/5 - 3*f**4/5 - 21*f**3/5 - 17*f**2/5 - 3*f/5 = 0. What is f?
-1, -1/4, 0, 3
Factor u**4/4 - 7*u**3 + 253*u**2/4 - 363*u/2.
u*(u - 11)**2*(u - 6)/4
Find v, given that 2*v**5 - 8*v**4 - 14*v**3 + 20*v**2 = 0.
-2, 0, 1, 5
Factor o**4/4 - 11*o**3/2 + 177*o**2/4 - 154*o + 196.
(o - 7)**2*(o - 4)**2/4
Find p, given that -p**2/6 + 9*p/2 - 30 = 0.
12, 15
Let 5*a**3 - 110*a**2 - 115*a = 0. What is a?
-1, 0, 23
Factor 5*i**2 - 11910*i + 7092405.
5*(i - 1191)**2
Suppose -4*w**5/3 + 8*w**4/3 + 68*w**3/3 + 8*w**2/3 - 208*w/3 - 160/3 = 0. What is w?
-2, -1, 2, 5
Let -2*g**4/7 + 6*g**3/7 - 6*g**2/7 + 2*g/7 = 0. What is g?
0, 1
Let -3*w**2/7 - 534*w/7 - 225 = 0. What is w?
-175, -3
What is j in j**2 - 7*j + 10 = 0?
2, 5
Let -5*m**2 + 1085*m + 4420 = 0. What is m?
-4, 221
Solve 2*n**4/3 - 2*n**3 + 8*n/3 = 0.
-1, 0, 2
Determine f, given that 3*f**4 + 222*f**3 + 219*f**2 = 0.
-73, -1, 0
Factor -3*g**4/5 + 18*g**3 - 972*g**2/5 + 4374*g/5 - 6561/5.
-3*(g - 9)**3*(g - 3)/5
Solve -6*h**4/5 - 232*h**3/5 + 228*h**2 + 936*h/5 - 86 = 0.
-43, -1, 1/3, 5
Suppose 2*q**4/3 - 4*q**3/3 - 128*q**2/3 + 4*q/3 + 42 = 0. What is q?
-7, -1, 1, 9
Factor 15*q**2 + 1212*q - 243.
3*(q + 81)*(5*q - 1)
Factor 25*i**2 + 435*i + 170.
5*(i + 17)*(5*i + 2)
Factor -2*r**3/13 - 90*r**2/13 - 174*r/13 - 86/13.
-2*(r + 1)**2*(r + 43)/13
What is m in 5*m**3 + 25*m**2 + 20*m = 0?
-4, -1, 0
Factor -2*m**2 + 18*m - 16.
-2*(m - 8)*(m - 1)
Factor -2*w**3 + 64*w**2 - 154*w - 580.
-2*(w - 29)*(w - 5)*(w + 2)
Let 10*z**5/3 + 124*z**4/3 + 118*z**3/3 - 452*z**2/3 - 632*z/3 - 176/3 = 0. What is z?
-11, -2, -1, -2/5, 2
Factor 2*y**4 + 48*y**3 + 234*y**2 - 676*y.
2*y*(y - 2)*(y + 13)**2
Factor j**2/6 + 3*j/2 + 3.
(j + 3)*(j + 6)/6
Factor 3*j**4 - 6*j**3 - 225*j**2 - 300*j + 1500.
3*(j - 10)*(j - 2)*(j + 5)**2
Factor -g**5 + 4*g**4 + 237*g**3 + 976*g**2 - 1216*g.
-g*(g - 19)*(g - 1)*(g + 8)**2
Let -w**4 - 30*w**3 - 155*w**2 - 270*w - 144 = 0. What is w?
-24, -3, -2, -1
Let -5*d**3 - 240*d**2 - 3105*d - 5290 = 0. What is d?
-23, -2
Let 10*g**3 + 21*g**2 + 12*g + 1 = 0. What is g?
-1, -1/10
Factor 12*m**2 + 39*m + 27.
3*(m + 1)*(4*m + 9)
Determine i so that 4*i**3 + 184*i**2 + 356*i + 176 = 0.
-44, -1
Solve 2*w**2/19 + 5256*w/19 - 5258/19 = 0.
-2629, 1
Let -27*m**5 - 291*m**4 + 417*m**3 + 219*m**2 - 390*m + 72 = 0. What is m?
-12, -1, 2/9, 1
Let 2*h**2/7 - 34*h/7 + 12 = 0. Calculate h.
3, 14
Factor -3*g**4/4 - 267*g**3/4 - 4455*g**2/2 - 33033*g - 183678.
-3*(g + 22)**3*(g + 23)/4
Suppose -3*j**3/4 - 21*j**2/4 - 9*j/2 = 0. Calculate j.
-6, -1, 0
Factor -2*d**3/13 - 1992*d**2/13 - 661344*d/13 - 73188736/13.
-2*(d + 332)**3/13
Suppose -k**3 - 9*k**2 + 21*k - 11 = 0. What is k?
-11, 1
Factor 5*g**2 - 220*g + 215.
5*(g - 43)*(g - 1)
Solve -b**2/2 + 15*b/2 = 0 for b.
0, 15
Let 3*r**4 + 87*r**3 + 711*r**2 + 741*r - 5070 = 0. Calculate r.
-13, -5, 2
Solve -5*n**5 - 35*n**4 - 70*n**3 - 40*n**2 = 0.
-4, -2, -1, 0
Factor 5*x**4 + 185*x**3 + 2145*x**2 + 5915*x - 21970.
5*(x - 2)*(x + 13)**3
Factor 2*x**2/7 + 390*x/7 + 388/7.
2*(x + 1)*(x + 194)/7
Find s, given that 100*s**5 - 665*s**4 + 1325*s**3 - 430*s**2 - 900*s + 360 = 0.
-3/4, 2/5, 2, 3
Factor -3*h**2 - 51*h - 90.
-3*(h + 2)*(h + 15)
Find w such that -5*w**4/3 + 1850*w**3/3 - 169265*w**2/3 - 114700*w - 57660 = 0.
-1, 186
Factor -5*t**3 - 95*t**2 - 170*t.
-5*t*(t + 2)*(t + 17)
Find s, given that s**5 + 8*s**4 - 12*s**3 - 26*s**2 + 11*s + 18 = 0.
-9, -1, 1, 2
Factor 3*w**4 + 29*w**3 + 60*w**2 + 28*w.
w*(w + 2)*(w + 7)*(3*w + 2)
Factor 3*u**2 - 3114*u + 808083.
3*(u - 519)**2
Find u such that -2*u**3/3 - 30*u**2 - 352*u - 968/3 = 0.
-22, -1
Suppose 2*a**3/3 + 2090*a**2/3 + 182352*a + 181656 = 0. Calculate a.
-522, -1
Find b such that -3*b**5 - 72*b**4 - 492*b**3 - 654*b**2 + 495*b + 726 = 0.
-11, -2, -1, 1
Factor -s**3/8 + 57*s**2/8 + s/8 - 57/8.
-(s - 57)*(s - 1)*(s + 1)/8
Let -4*p**2 - 36*p - 80 = 0. What is p?
-5, -4
Solve -o**2 + 5*o - 6 = 0.
2, 3
Factor -j**4 + 5*j**3 - 4*j**2.
-j**2*(j - 4)*(j - 1)
What is g in -57*g**4 + 474*g**3 - 1284*g**2 + 1272*g - 288 = 0?
6/19, 2, 4
Factor -2*y**3 - 26*y**2 + 18*y + 810.
-2*(y - 5)*(y + 9)**2
Find m such that -202*m**5/15 + 80*m**4/3 - 194*m**3/15 - 4*m**2/15 = 0.
-2/101, 0, 1
Factor -2*p**3/11 - 48*p**2/11 - 322*p/11 - 468/11.
-2*(p + 2)*(p + 9)*(p + 13)/11
Factor 2*o**2 - 38*o - 40.
2*(o - 20)*(o + 1)
Solve v**3/5 + 483*v**2/5 - 484*v/5 = 0.
-484, 0, 1
Find h such that 2*h**2 - 342*h + 3220 = 0.
10, 161
Let r**3/3 + 214*r**2/3 + 12064*r/3 + 21632 = 0. Calculate r.
-104, -6
Determine h so that 5*h**2 + 2970*h = 0.
-594, 0
Factor -2*w**2/3 + 338/3.
-2*(w - 13)*(w + 13)/3
Let 4*w**2 + 160*w + 156 = 0. Calculate w.
-39, -1
Factor 3*r**4 + 39*r**3 + 120*r**2 + 108*r.
3*r*(r + 2)**2*(r + 9)
Factor 4*q**2/9 - 380*q/9 + 712/3.
4*(q - 89)*(q - 6)/9
Factor 2*o**2/5 + 66*o/5 + 36.
2*(o + 3)*(o + 30)/5
Determine h, given that -5*h**3 + 1173*h**2 + 470*h = 0.
-2/5, 0, 235
Let -2*u**3 + 1096*u**2 + 1102*u - 2196 = 0. Calculate u.
-2, 1, 549
Factor 2*i**5/15 + 704*i**4/15 + 16426*i**3/3 + 3119684*i**2/15 - 6488584*i/15 + 3286064/15.
2*(i - 1)**2*(i + 118)**3/15
Suppose n**2/2 - 5*n/2 - 63 = 0. What is n?
-9, 14
Factor -b**5 + 10*b**3 + 20*b**2 + 15*b + 4.
-(b - 4)*(b + 1)**4
Determine j so that 2*j**3/7 + 16*j**2/7 = 0.
-8, 0
Factor -3*h**2/5 - 42*h/5 + 441/5.
-3*(h - 7)*(h + 21)/5
Factor -l**5/9 + 4*l**4/3 - 16*l**3/3 + 82*l**2/9 - 7*l + 2.
-(l - 6)*(l - 3)*(l - 1)**3/9
Let 3*q**2/4 - 576*q + 110592 = 0. Calculate q.
384
Factor -z**2/5 + 93*z/5 + 918/5.
-(z - 102)*(z + 9)/5
Factor -72*p**2 + 72*p + 14.
-2*(6*p - 7)*(6*p + 1)
Factor -4*s**2 - 968*s.
-4*s*(s + 242)
Solve 5*u**5/2 - 25*u**4 + 60*u**3 + 25*u**2 - 125*u/2 = 0 for u.
-1, 0, 1, 5
Solve t**3 - 233*t**2 + 13688*t - 13456 = 0.
1, 116
Solve 2*m**2 - 230*m + 3168 = 0.
16, 99
Find q such that -q**2 - 14*q - 24 = 0.
-12, -2
Suppose 1058*r**3 - 690*r**2 - 336*r - 32 = 0. What is r?
-4/23, 1
Factor 2*y**4/11 + 420*y**3/11 + 22050*y**2/11.
2*y**2*(y + 105)**2/11
Determine z, given that 12*z**4 - 2792*z**3 + 163328*z**2 - 107648*z = 0.
0, 2/3, 116
Factor -v**2/2 + 17*v/2 - 8.
-(v - 16)*(v - 1)/2
Factor r**4/3 + r**3 - 6*r**2 - 32*r/3 + 32.
(r - 3)*(r - 2)*(r + 4)**2/3
Factor 3*j**5 - 18*j**3 - 24*j**2 - 9*j.
3*j*(j - 3)*(j + 1)**3
Factor 959*b**2 + 281*b + 2.
(7*b + 2)*(137*b + 1)
Factor -2*d**2/9 + 422*d/9 + 240.
-2*(d - 216)*(d + 5)/9
Solve -f**5/3 + 17*f**4/3 + 325*f**3/3 - 4913*f**2/3 - 3576*f - 1836 = 0.
-17, -1, 18
Find j, given that 4*j**2 - 28*j + 40 = 0.
2, 5
Factor 3*a**4 + 72*a**3 + 648*a**2 + 2592*a + 3888.
3*(a + 6)**4
Solve 4*a**3 - 8*a**2 - 172*a - 160 = 0 for a.
-5, -1, 8
Factor 5*y**4 - 1945*y**3 - 5880*y**2 - 20*y + 7840.
5*(y - 392)*(y - 1)*(y + 2)**2
Factor j**3/2 - 13*j**2/2 - 77*j/2 + 1089/2.
(j - 11)**2*(j + 9)/2
Find y, given that 4*y**3 - 12*y**2 + 8*y = 0.
0, 1, 2
Factor -5*w