at is h in -5*h**4 - 130*h**3 - 915*h**2 - 470*h + 5720 = 0?
-13, -11, -4, 2
Let 5*v**3 - 325*v**2 + 910*v + 1240 = 0. Calculate v.
-1, 4, 62
Factor 3*l**4 - 629*l**3 - 845*l**2 + 209*l + 422.
(l - 211)*(l + 1)**2*(3*l - 2)
Suppose 2*i**2 - 136*i - 138 = 0. What is i?
-1, 69
What is d in 2*d**5/3 + 8*d**4/3 - 26*d**3/3 - 8*d**2/3 + 8*d = 0?
-6, -1, 0, 1, 2
Determine o, given that -56*o**3/23 - 250*o**2/23 - 308*o/23 - 114/23 = 0.
-19/7, -1, -3/4
Factor -23*d**2/7 + 116*d/7 - 5/7.
-(d - 5)*(23*d - 1)/7
Factor q**3/2 - 9*q**2/2 - q/2 + 9/2.
(q - 9)*(q - 1)*(q + 1)/2
What is j in 5*j**3 - 195*j**2 - 845*j - 645 = 0?
-3, -1, 43
Factor 5*m**4 + 185*m**3 + 175*m**2 - 185*m - 180.
5*(m - 1)*(m + 1)**2*(m + 36)
Find y, given that 3*y**5/5 - 96*y**4/5 - 108*y**3/5 + 294*y**2/5 + 21*y - 198/5 = 0.
-2, -1, 1, 33
Factor z**3 + 411*z**2 - 1656*z + 1660.
(z - 2)**2*(z + 415)
Let -2*l**4/7 + 32*l**3/7 + 122*l**2 + 5140*l/7 + 9600/7 = 0. What is l?
-6, -5, 32
Factor 4*n**4/3 + 8*n**3 + 44*n**2/3 + 8*n.
4*n*(n + 1)*(n + 2)*(n + 3)/3
What is a in -3*a**3/7 + 174*a**2/7 - 171*a/7 = 0?
0, 1, 57
What is r in 32*r**2 - 68*r/3 + 10/3 = 0?
5/24, 1/2
Find d, given that -14*d**4 + 6*d**3 = 0.
0, 3/7
Factor -2*u**2/7 + 106*u/7 - 56.
-2*(u - 49)*(u - 4)/7
Suppose -6*q**5/7 - 2*q**4 + 2*q**3/7 + 2*q**2 + 4*q/7 = 0. What is q?
-2, -1, -1/3, 0, 1
Factor -5*m**3 - 50*m**2 - 60*m + 360.
-5*(m - 2)*(m + 6)**2
Solve -3*t**3/5 - 678*t**2/5 + 1401*t - 3540 = 0 for t.
-236, 5
Solve -3*t**3 + 6*t**2 - 3*t = 0.
0, 1
Factor -5*m**3 - 6690*m**2 - 2244480*m - 4462240.
-5*(m + 2)*(m + 668)**2
Find z, given that -4*z**4/7 - 16*z**3/7 - 24*z**2/7 - 16*z/7 - 4/7 = 0.
-1
Factor -2*w**2/13 + 348*w/13 - 15138/13.
-2*(w - 87)**2/13
Factor -5*l**5 + 135*l**4 + 290*l**3 + 10*l**2 - 285*l - 145.
-5*(l - 29)*(l - 1)*(l + 1)**3
Factor -w**4/5 + 8*w**3/5 + 48*w**2/5 - 256*w/5 - 1024/5.
-(w - 8)**2*(w + 4)**2/5
Factor -2*n**5/3 - 128*n**4/3 - 2930*n**3/3 - 9804*n**2 - 44712*n - 76176.
-2*(n + 6)**3*(n + 23)**2/3
Factor 25*z**4 - 65*z**3 - 630*z**2 - 940*z - 280.
5*(z - 7)*(z + 2)**2*(5*z + 2)
Find j, given that -33*j**2 + 171*j - 30 = 0.
2/11, 5
Let u**2/5 + 6*u/5 - 104 = 0. Calculate u.
-26, 20
Determine y so that -5*y**4 + 15*y**2 - 10*y = 0.
-2, 0, 1
Factor -16*f**4 + 28*f**3 + 8*f**2.
-4*f**2*(f - 2)*(4*f + 1)
Let -d**2 + 560*d - 78400 = 0. What is d?
280
Suppose -3*o**3/2 - 339*o**2 - 38307*o/2 = 0. Calculate o.
-113, 0
Determine s so that 45*s**3/4 - 1389*s**2/4 + 291*s + 45 = 0.
-2/15, 1, 30
Suppose 34*b**5 + 236*b**4 - 932*b**3 + 1040*b**2 - 398*b + 20 = 0. What is b?
-10, 1/17, 1
Solve 36*o**5 - 2132*o**4 - 10940*o**3 - 4700*o**2 + 22344*o - 4608 = 0.
-3, 2/9, 1, 64
Let 49*g**4/2 + 119*g**3 + 373*g**2/2 + 102*g + 18 = 0. Calculate g.
-2, -3/7
Factor -2*p**5/11 + 26*p**4/11 - 46*p**3/11 + 2*p**2.
-2*p**2*(p - 11)*(p - 1)**2/11
Find s, given that -2*s**2/17 + 1528*s/17 - 1526/17 = 0.
1, 763
Factor -4*t**4/5 + 524*t**3/5 - 16896*t**2/5 - 17424*t/5.
-4*t*(t - 66)**2*(t + 1)/5
Determine c, given that 2*c**5 + 406*c**4/3 - 3716*c**3/3 + 6392*c**2/3 + 560*c/3 - 1216 = 0.
-76, -2/3, 1, 2, 6
Solve 10*l**5 - 252*l**4/5 + 92*l**3 - 368*l**2/5 + 114*l/5 - 4/5 = 0 for l.
1/25, 1, 2
Factor -4*c**4/3 - 20*c**3/3 - 4*c**2 + 12*c.
-4*c*(c - 1)*(c + 3)**2/3
Factor -2*n**2/5 - 2*n - 12/5.
-2*(n + 2)*(n + 3)/5
Suppose -12*g**2 + 309*g + 78 = 0. Calculate g.
-1/4, 26
Suppose k**5/2 + k**4 - 3*k**3 - 4*k**2 + 5*k/2 + 3 = 0. Calculate k.
-3, -1, 1, 2
Find s, given that -16*s**2/7 + 40*s/7 - 25/7 = 0.
5/4
Determine x, given that -192*x**4 - 8112*x**3 + 6156*x**2 - 1545*x + 129 = 0.
-43, 1/4
Solve 4*v**2 + 2656*v - 2660 = 0 for v.
-665, 1
Solve -2*w**4/5 + 44*w**3/5 - 138*w**2/5 - 1144*w/5 - 1352/5 = 0 for w.
-2, 13
Factor -2*i**5/13 + 6*i**4/13 - 4*i**3/13 - 4*i**2/13 + 6*i/13 - 2/13.
-2*(i - 1)**4*(i + 1)/13
Suppose -2*t**4/7 - 104*t**3/7 - 1628*t**2/7 - 7176*t/7 - 9522/7 = 0. What is t?
-23, -3
Determine c so that -25*c**5/3 + 50*c**4 - 221*c**3/3 + 76*c**2/3 + 12*c - 16/3 = 0.
-2/5, 2/5, 1, 4
Find a, given that -a**4/5 + 3*a**3/5 + 13*a**2/5 - 3*a = 0.
-3, 0, 1, 5
Factor -4*j**3/3 + 29*j**2 + 146*j + 104/3.
-(j - 26)*(j + 4)*(4*j + 1)/3
Solve 2*q**2 - 836*q + 834 = 0 for q.
1, 417
Factor l**2/8 + 890*l + 1584200.
(l + 3560)**2/8
Solve 15*z**5 - 102*z**4 + 255*z**3 - 276*z**2 + 108*z = 0 for z.
0, 1, 9/5, 2
Factor -j**3 - 8*j**2 - 7*j.
-j*(j + 1)*(j + 7)
Determine j so that j**3 - 2*j**2 - j + 2 = 0.
-1, 1, 2
Factor 2*q**2 + 548*q.
2*q*(q + 274)
Let 3*d**2/5 - 1569*d/5 = 0. Calculate d.
0, 523
Find u, given that 2*u**2/9 + 1126*u/9 + 748/3 = 0.
-561, -2
Suppose y**5 - 3*y**4 - 3*y**3 + 11*y**2 - 6*y = 0. Calculate y.
-2, 0, 1, 3
What is y in -3*y**4/4 + 19*y**3/4 + 39*y**2/4 + 9*y/4 - 2 = 0?
-1, 1/3, 8
Factor -3*s**5/2 - 147*s**4/2 - 360*s**3 + 14850*s**2.
-3*s**2*(s - 11)*(s + 30)**2/2
Determine s so that 3*s**5 + 39*s**4 - 150*s**3 - 972*s**2 - 1080*s = 0.
-15, -2, 0, 6
Factor -2*p**3 - 8*p**2 + 70*p + 300.
-2*(p - 6)*(p + 5)**2
Suppose -5*c**3 - 1235*c**2 - 76875*c - 75645 = 0. What is c?
-123, -1
Factor -q**4/4 + 7*q**3 + 29*q**2/4.
-q**2*(q - 29)*(q + 1)/4
Find i, given that 10*i**5 + 86*i**4 - 56*i**3 - 712*i**2 + 928*i - 256 = 0.
-8, -4, 2/5, 1, 2
Determine f so that -f**2/9 + 236*f/3 - 13924 = 0.
354
Factor g**3 - 115*g**2 + 338*g - 224.
(g - 112)*(g - 2)*(g - 1)
Factor -2*l**4 + 2*l**2.
-2*l**2*(l - 1)*(l + 1)
Find a, given that -8*a**2/17 - 82*a/17 - 20/17 = 0.
-10, -1/4
Factor 11*i**2/5 + 3*i/5 - 14/5.
(i - 1)*(11*i + 14)/5
Solve -4*p**3 - 70*p**2 - 242*p - 104 = 0 for p.
-13, -4, -1/2
Factor 2*z**3/5 - 358*z**2/5.
2*z**2*(z - 179)/5
Let -g**2/2 + 359*g/2 - 179 = 0. What is g?
1, 358
Solve x**5 - x**4 - 4*x**3 + 4*x**2 = 0 for x.
-2, 0, 1, 2
Factor -2*g**2/5 - 104*g/5.
-2*g*(g + 52)/5
Factor f**4/4 + 31*f**3/4 - 581*f**2/4 + 2205*f/4.
f*(f - 7)**2*(f + 45)/4
Factor 4*x**3 - 172*x**2 + 1356*x - 1188.
4*(x - 33)*(x - 9)*(x - 1)
Factor -5*m**3 + 65*m**2 - 280*m + 400.
-5*(m - 5)*(m - 4)**2
Factor -4*i**3 + 1176*i**2.
-4*i**2*(i - 294)
Factor t**3/4 - 43*t**2/4 - 156*t - 495.
(t - 55)*(t + 6)**2/4
Determine t so that -1225*t**3 - 420*t**2 - 36*t = 0.
-6/35, 0
Factor b**3/7 - 39*b**2/7 + 495*b/7 - 2025/7.
(b - 15)**2*(b - 9)/7
Factor 2*l**5 - 764*l**4 + 72962*l**3.
2*l**3*(l - 191)**2
Factor 14*f**4 + 88*f**3 + 24*f**2.
2*f**2*(f + 6)*(7*f + 2)
Factor 2*r**5 + 36*r**4 - 80*r**3.
2*r**3*(r - 2)*(r + 20)
Factor 2*i**3/7 + 8*i**2/7 - 22*i/7 + 12/7.
2*(i - 1)**2*(i + 6)/7
Factor 4*t**4 - 44*t**3 + 132*t**2 - 20*t - 200.
4*(t - 5)**2*(t - 2)*(t + 1)
Factor s**3/5 + 91*s**2/5 - s/5 - 91/5.
(s - 1)*(s + 1)*(s + 91)/5
Factor -3*s**2 - 135*s - 132.
-3*(s + 1)*(s + 44)
Determine i so that 9*i**5/5 - 66*i**4/5 + 157*i**3/5 - 168*i**2/5 + 84*i/5 - 16/5 = 0.
2/3, 1, 4
Determine i so that 5*i**2 - 3620*i + 655220 = 0.
362
Factor -2*k**2/9 + 56*k/9 - 88/3.
-2*(k - 22)*(k - 6)/9
Let -128*t**5 + 992*t**4 + 542*t**3 - 2252*t**2 - 450*t + 1296 = 0. Calculate t.
-9/8, 1, 8
Solve -5*f**2/3 + 2960*f/3 - 985 = 0 for f.
1, 591
Let -20*y**4 - 604*y**3 + 1160*y**2 + 256*y = 0. Calculate y.
-32, -1/5, 0, 2
Determine o, given that 4*o**5/11 - 118*o**4/11 + 1130*o**3/11 - 3800*o**2/11 + 3936*o/11 - 1152/11 = 0.
1/2, 1, 4, 12
Factor 5*q**4 - 30*q**3 + 55*q**2 - 30*q.
5*q*(q - 3)*(q - 2)*(q - 1)
Factor -o**4/2 + 11*o**3/2 + 65*o**2/2 - 75*o/2.
-o*(o - 15)*(o - 1)*(o + 5)/2
Let -2*m**5/7 + 16*m**4/7 + 66*m**3/7 + 8*m**2/7 - 88*m/7 = 0. Calculate m.
-2, 0, 1, 11
Factor q**3 + 33*q**2 + 255*q - 289.
(q - 1)*(q + 17)**2
What is r in 2*r**5/5 - 4*r**4/5 - 2*r**3/5 + 4*r**2/5 = 0?
-1, 0, 1, 2
Factor -p**4 - 2*p**3 + 92*p**2 - 312*p + 288.
-(p - 6)*(p - 2)**2*(p + 12)
Factor -2*o**3/9 + 64*o**2/3 - 2048*o/3 + 65536/9.
-2*(o - 32)**3/9
Factor 4*y**4 - 124*y**3 + 956*y**2 - 1556*y + 720.
4*(y - 20)*(y - 9)*(y - 1)**2
Factor -n**3/6 + 199*n**2/3 - 39601*n/6.
-n*(n - 199)**2/6
What is k in 4*k**4 - 1120*k**3 + 84832*k**2 - 900480*k + 2585664 = 0?
6, 134
Find h such that -15*h**4/2 - 145*h**3/2 + 245*h**2/2 + 265*h/2 - 55 = 0.
-11, -1, 1/3, 2
Find r such that 5*r**2 - 75*r - 380 = 0.
-4, 19
Find s, given that -3*s**4/7 - 108*s**3/7 + 111*s**2/7 = 0.
-37, 0, 1
Factor 3*f**4/7 - 87*f**3/7 + 12*f**2.
3*f**2*(f - 28)*(f - 1)/7
What is x in 2*x**2 +