culate w.
-14, -1, -1/3
What is t in 115*t**2 + 570*t - 25 = 0?
-5, 1/23
Factor -y**3/5 - 1459*y**2/5 - 532899*y/5 - 531441/5.
-(y + 1)*(y + 729)**2/5
Let 3*h**3/5 - 27*h**2/5 = 0. What is h?
0, 9
What is z in 5*z**4 - 240*z**3 + 465*z**2 - 230*z = 0?
0, 1, 46
Factor -25*s**4/7 + 130*s**3/7 - 229*s**2/7 + 156*s/7 - 36/7.
-(s - 2)**2*(5*s - 3)**2/7
Factor r**4/6 - 14*r**3/3 - 199*r**2/2 - 1064*r/3 + 1376/3.
(r - 43)*(r - 1)*(r + 8)**2/6
Factor -2*x**3/19 - 134*x**2/19 + 8*x/19 + 536/19.
-2*(x - 2)*(x + 2)*(x + 67)/19
Factor 4*z**3 - 5461*z**2 - 15051*z + 4104.
(z - 1368)*(z + 3)*(4*z - 1)
Factor 8*p**3/5 - 5583*p**2/5 + 194742*p + 121801/5.
(p - 349)**2*(8*p + 1)/5
Factor 4*c**4 + 4176*c**3 - 4*c**2 - 4176*c.
4*c*(c - 1)*(c + 1)*(c + 1044)
Find s, given that 2*s**3 + 7*s**2/6 - 14*s/3 + 2 = 0.
-2, 2/3, 3/4
Let -2*d**5/7 + 18*d**4/7 - 50*d**3/7 + 54*d**2/7 - 20*d/7 = 0. What is d?
0, 1, 2, 5
Factor 2*s**4/3 - 838*s**3/3 + 88198*s**2/3 - 87362*s/3.
2*s*(s - 209)**2*(s - 1)/3
Let 75*z**3 - 294*z**2 + 276*z + 24 = 0. What is z?
-2/25, 2
Factor 2*t**4 + 32*t**3 + 126*t**2 - 32*t - 128.
2*(t - 1)*(t + 1)*(t + 8)**2
Find n such that -n**4 + 302*n**3 + n**2 - 302*n = 0.
-1, 0, 1, 302
Solve -r**4/3 + 158*r**3 - 18243*r**2 - 113760*r - 172800 = 0 for r.
-3, 240
What is j in -3*j**2/8 + 63*j/4 - 1323/8 = 0?
21
Factor h**2/2 + 5*h/4 + 1/2.
(h + 2)*(2*h + 1)/4
Factor -4*z**2 - 576*z - 4860.
-4*(z + 9)*(z + 135)
Factor -2*a**2/15 + 496*a/5 - 92256/5.
-2*(a - 372)**2/15
What is r in -r**3 + 19*r**2 - 99*r + 81 = 0?
1, 9
Suppose 27*j**2/5 - 21*j - 12/5 = 0. Calculate j.
-1/9, 4
Find h such that -2*h**5/5 - 28*h**4/5 - 16*h**3/5 + 124*h**2/5 - 78*h/5 = 0.
-13, -3, 0, 1
Let 5*i**4 + 5*i**3 - 15*i**2 - 5*i + 10 = 0. What is i?
-2, -1, 1
Let 6*v**3/5 - 6*v**2 - 6*v/5 + 6 = 0. Calculate v.
-1, 1, 5
Factor h**3/3 + 118*h**2 + 13924*h + 1643032/3.
(h + 118)**3/3
Solve -5*g**4 - 190*g**3 - 2340*g**2 - 8450*g + 10985 = 0.
-13, 1
Determine r so that 10*r**3 - 45*r**2 + 45*r = 0.
0, 3/2, 3
Determine y so that -4*y**5 + 60*y**4 + 376*y**3 + 496*y**2 - 288*y - 640 = 0.
-2, 1, 20
Determine y so that 3*y**5/5 - 9*y**4 + 33*y**3/5 + 141*y**2/5 - 216*y/5 + 84/5 = 0.
-2, 1, 14
Find c, given that 5*c**3 + 35*c**2 - 140*c + 100 = 0.
-10, 1, 2
Determine q, given that 2*q**4 + 16*q**3/3 - 70*q**2/3 + 8*q/3 + 40/3 = 0.
-5, -2/3, 1, 2
Factor 4*g**3 + 16*g**2 - 4*g - 16.
4*(g - 1)*(g + 1)*(g + 4)
Factor -5*f**4 - 1555*f**3 - 160680*f**2 - 5462080*f + 5624320.
-5*(f - 1)*(f + 104)**3
Suppose -11*u**3 + 156*u**2 - 391*u + 66 = 0. What is u?
2/11, 3, 11
Determine m so that 5*m**4 + 550*m**3 + 540*m**2 - 550*m - 545 = 0.
-109, -1, 1
Determine q so that 2*q**4/5 + 24*q**3/5 + 42*q**2/5 - 196*q/5 = 0.
-7, 0, 2
Find k such that 4*k**2 + 23*k - 6 = 0.
-6, 1/4
Factor 2*a**2/5 + 202*a/5.
2*a*(a + 101)/5
Find h such that 2*h**2 - 26*h + 60 = 0.
3, 10
What is t in 2*t**4 - 14*t**2 + 12*t = 0?
-3, 0, 1, 2
Factor -2*h**3 - 36*h**2 + 690*h + 1508.
-2*(h - 13)*(h + 2)*(h + 29)
Suppose -8*y**4 + 94*y**3 - 144*y**2 - 826*y - 196 = 0. What is y?
-2, -1/4, 7
Determine p, given that -2*p**4/3 + 2*p**3/3 + 80*p**2/3 - 224*p/3 = 0.
-7, 0, 4
Solve -9*k**2/4 + 777*k/4 + 261/2 = 0.
-2/3, 87
Factor 3*d**3 + 111*d**2 + 840*d - 3600.
3*(d - 3)*(d + 20)**2
Find m, given that 108*m**5 - 576*m**4 + 168*m**3 + 64*m**2 - 20*m = 0.
-1/3, 0, 1/3, 5
Factor 2*v**3/19 - 50*v**2/19 + 48*v/19.
2*v*(v - 24)*(v - 1)/19
Factor 2*o**3 + 26*o**2 + 52*o - 80.
2*(o - 1)*(o + 4)*(o + 10)
Suppose -27*t**5 - 160*t**4 - 339*t**3 - 298*t**2 - 84*t + 8 = 0. What is t?
-2, -1, 2/27
Find j such that j**3/3 + 3*j**2 - 40*j - 1100/3 = 0.
-10, 11
Factor f**5/6 + f**4 + 11*f**3/6 + f**2/3 - 2*f - 4/3.
(f - 1)*(f + 1)*(f + 2)**3/6
Let 5*n**3 - 100*n**2 - 9215*n - 104690 = 0. What is n?
-19, 58
Factor 2*a**3 + 28*a**2 - 64*a.
2*a*(a - 2)*(a + 16)
Solve 2*x**2 - 396*x = 0.
0, 198
What is z in -z**5/2 - z**4 + 2*z**3 + z**2 - 3*z/2 = 0?
-3, -1, 0, 1
Factor 2*n**2 + 4684*n + 2742482.
2*(n + 1171)**2
What is r in -2*r**3/7 + 32*r**2/7 - 26*r/7 - 60/7 = 0?
-1, 2, 15
What is i in -4*i**4 + 8*i**3 + 36*i**2 - 8*i - 32 = 0?
-2, -1, 1, 4
Factor -20*p**4 - 625*p**3 - 1820*p**2.
-5*p**2*(p + 28)*(4*p + 13)
Suppose -10*y**5 + 64*y**4 - 114*y**3 - 4*y**2 + 136*y - 48 = 0. What is y?
-1, 2/5, 2, 3
Factor 9*x**4 - 147*x**3 + 438*x**2 + 360*x.
3*x*(x - 12)*(x - 5)*(3*x + 2)
Factor o**2/2 + 131*o/2 + 129.
(o + 2)*(o + 129)/2
Determine p so that -2*p**5 + 6*p**4 + 12*p**3 - 16*p**2 = 0.
-2, 0, 1, 4
Factor 2*j**2/13 + 2772*j/13 + 960498/13.
2*(j + 693)**2/13
Factor -r**4/4 - 7*r**3/4 + 6*r**2 + 45*r.
-r*(r - 5)*(r + 6)**2/4
Let 2*l**2/11 - 320*l/11 + 2142/11 = 0. Calculate l.
7, 153
Factor u**2/3 - 34*u + 200/3.
(u - 100)*(u - 2)/3
Factor 2*q**5/9 - 8*q**4/9.
2*q**4*(q - 4)/9
Determine f so that -2*f**5/13 - 18*f**4/13 - 58*f**3/13 - 6*f**2 - 36*f/13 = 0.
-3, -2, -1, 0
Factor 2*v**2 + 16*v + 14.
2*(v + 1)*(v + 7)
Determine n, given that 2*n**3 - 66*n**2 + 126*n - 62 = 0.
1, 31
Factor 2*o**2/7 + 64*o/7 - 288/7.
2*(o - 4)*(o + 36)/7
Factor 18*y**3 + 122*y**2 + 152*y - 40.
2*(y + 2)*(y + 5)*(9*y - 2)
Let 4*p**3/5 - 24*p**2/5 - 36*p/5 + 216/5 = 0. Calculate p.
-3, 3, 6
Let 2*f**5/5 - 2*f**4 - 54*f**3/5 + 26*f**2/5 + 164*f/5 + 96/5 = 0. What is f?
-3, -1, 2, 8
What is l in l**5/2 - 27*l**4/2 + 121*l**3/2 + 567*l**2/2 + 209*l = 0?
-2, -1, 0, 11, 19
Find d, given that 2*d**2/3 - 374*d/3 - 380 = 0.
-3, 190
Factor w**2/3 - 10*w/3 + 25/3.
(w - 5)**2/3
Let -35*o**4/4 + 177*o**3/4 - 71*o**2/2 - 6*o = 0. Calculate o.
-1/7, 0, 6/5, 4
Factor 2*b**5/9 - 20*b**4/3 + 640*b**3/9 - 300*b**2 + 270*b + 648.
2*(b - 9)**3*(b - 4)*(b + 1)/9
Suppose 3*c**2/2 - 156*c + 309/2 = 0. What is c?
1, 103
Factor -i**4/3 - 13*i**3/3 - 22*i**2/3.
-i**2*(i + 2)*(i + 11)/3
Solve -j**3/7 + 53*j**2/7 + 54*j/7 = 0.
-1, 0, 54
Suppose -h**4/2 + 34*h**3 - 867*h**2 + 9826*h - 83521/2 = 0. Calculate h.
17
Solve 2*h**2 - 194*h + 192 = 0 for h.
1, 96
Factor -5*t**3/3 + 61*t**2/6 - 16*t + 3/2.
-(t - 3)**2*(10*t - 1)/6
Let -z**3/8 + 783*z**2/4 - 204363*z/2 + 17779581 = 0. Calculate z.
522
Factor q**5/3 + 13*q**4/3 - 15*q**3 + 47*q**2/3 - 16*q/3.
q*(q - 1)**3*(q + 16)/3
Solve 2*r**4 + 300*r**3 - 606*r**2 + 304*r = 0.
-152, 0, 1
Find h, given that 2*h**4 - 482*h**3 - 488*h**2 + 968*h = 0.
-2, 0, 1, 242
Find d, given that 73*d**2 + 80*d + 7 = 0.
-1, -7/73
What is c in -52*c**3/3 + 776*c**2/3 - 3220*c/3 + 784 = 0?
12/13, 7
Let -z**2/5 - 83*z/5 = 0. What is z?
-83, 0
Factor -5*j**3 + 110*j**2 + 115*j.
-5*j*(j - 23)*(j + 1)
Factor 5*i**2 - 100*i - 1120.
5*(i - 28)*(i + 8)
Find v, given that v**3/4 - 197*v**2/4 = 0.
0, 197
Factor 10*a**3/7 + 86*a**2/7 - 36*a/7.
2*a*(a + 9)*(5*a - 2)/7
Factor k**3 + 19*k**2 - 4*k - 76.
(k - 2)*(k + 2)*(k + 19)
Factor 2*z**2/9 + 4076*z/9 + 2076722/9.
2*(z + 1019)**2/9
Determine w, given that -2*w**5/5 + 48*w**4/5 + 218*w**3/5 + 176*w**2/5 - 216*w/5 - 224/5 = 0.
-2, -1, 1, 28
Let 2*k**5/13 - 8*k**4 - 326*k**3/13 - 220*k**2/13 = 0. What is k?
-2, -1, 0, 55
Factor 4*r**3/7 + 80*r**2/7 - 276*r/7.
4*r*(r - 3)*(r + 23)/7
What is q in 3*q**4 + q**3 - 3*q**2 - q = 0?
-1, -1/3, 0, 1
Factor -20*r**2 + 535*r + 135.
-5*(r - 27)*(4*r + 1)
Factor 5*y**2 - 290*y - 1920.
5*(y - 64)*(y + 6)
Factor -2*y**2/11 - 186*y/11.
-2*y*(y + 93)/11
Solve -75*g**3 + 73635*g**2 - 58872*g + 11772 = 0.
2/5, 981
Factor 2*z**2/15 + 38*z/15 + 12/5.
2*(z + 1)*(z + 18)/15
What is r in r**5 + 2*r**4 - 3*r**3 - 4*r**2 + 4*r = 0?
-2, 0, 1
Factor -15*w**2 + 291*w - 114.
-3*(w - 19)*(5*w - 2)
Factor -4*w**3 - 4*w**2 + 80*w.
-4*w*(w - 4)*(w + 5)
Factor -3*h**5 - 3*h**4 + 15*h**3 - 9*h**2.
-3*h**2*(h - 1)**2*(h + 3)
Solve -w**4/4 - 39*w**3/4 - 261*w**2/4 - 409*w/4 - 93/2 = 0 for w.
-31, -6, -1
Factor 2*z**3 - 6*z**2 + 4*z.
2*z*(z - 2)*(z - 1)
Solve -36*m**4 - 296*m**3 + 620*m**2 - 208*m - 80 = 0.
-10, -2/9, 1
Factor -2*m**5/25 + 196*m**4/25 - 6128*m**3/25 + 10336*m**2/5 + 286688*m/25 + 314432/25.
-2*(m - 34)**3*(m + 2)**2/25
What is t in -242*t**4/25 + 66*t**3/5 - 96*t**2/25 + 8*t/25 = 0?
0, 2/11, 1
Factor 81*u**3/2 - 3519*u**2/2 + 21476*u - 49686.
(u - 3)*(9*u - 182)**2/2
Factor -2*x**2/9 - 968*x/9 + 970/9.
-2*(x - 1)*(x + 485)/9
Determine p so that -2*p**3 - 46*p**2 = 0.
-23, 0
Solve -2*x**3/5 - 36*x**2/5 - 24*x - 112/5 = 0 fo