25, 13
Factor -4*j**3 + 24*j**2 + 60*j + 32.
-4*(j - 8)*(j + 1)**2
Factor -2*l**4 - 154*l**3 + 1378*l**2 + 1530*l.
-2*l*(l - 9)*(l + 1)*(l + 85)
Factor l**4 + 120*l**3 - 373*l**2 - 492*l.
l*(l - 4)*(l + 1)*(l + 123)
What is i in 5*i**2 - 700*i - 705 = 0?
-1, 141
Factor 729*y**3/2 + 11907*y**2 + 129654*y + 470596.
(9*y + 98)**3/2
Solve -s**3 + 20*s**2 - 17*s - 38 = 0 for s.
-1, 2, 19
Factor -t**5/4 + 7*t**4 - 241*t**3/4 + 215*t**2/2 + 425*t + 250.
-(t - 10)**3*(t + 1)**2/4
Find p, given that 105*p**5 - 170*p**4 - 450*p**3 + 145*p - 30 = 0.
-1, 2/7, 1/3, 3
Find k such that -3*k**3 - 90*k**2 - 324*k - 312 = 0.
-26, -2
Solve 29*z**4/2 + 463*z**3/2 - 1031*z**2/2 + 557*z/2 - 9 = 0 for z.
-18, 1/29, 1
Find t such that -10*t**3/3 - 2*t**2/3 + 32*t/15 - 8/15 = 0.
-1, 2/5
Factor 55*q**2 + 25*q - 30.
5*(q + 1)*(11*q - 6)
Let 126*c**2 + 146*c + 20 = 0. Calculate c.
-1, -10/63
Factor 4*d**4 + 16*d**3 - 28*d**2 - 40*d.
4*d*(d - 2)*(d + 1)*(d + 5)
Let -8*c**3 - 236*c**2 + 124*c + 120 = 0. What is c?
-30, -1/2, 1
Suppose 3*w**2/8 - 45*w/8 + 21/4 = 0. Calculate w.
1, 14
Suppose 10647*h**4/8 - 6513*h**3/8 - 1953*h**2/4 - 63*h/2 + 3 = 0. What is h?
-2/7, -2/13, 2/39, 1
Determine i, given that -5*i**2 - 110*i - 425 = 0.
-17, -5
Factor -2*c**4/3 - 236*c**3/3 - 6722*c**2/3 + 4720*c - 2400.
-2*(c - 1)**2*(c + 60)**2/3
Suppose -24*p**4/7 + 148*p**3/7 - 284*p**2/7 + 160*p/7 = 0. Calculate p.
0, 1, 5/2, 8/3
Factor q**3 + 208*q**2 + 820*q + 816.
(q + 2)**2*(q + 204)
What is o in -3*o**5/5 - 24*o**4/5 - 39*o**3/5 - 18*o**2/5 = 0?
-6, -1, 0
What is c in 70*c**5 + 202*c**4 + 94*c**3 - 170*c**2 - 164*c - 32 = 0?
-8/5, -1, -2/7, 1
Solve -22*x**5 + 128*x**4 - 1322*x**3/11 - 428*x**2 + 8960*x/11 - 4096/11 = 0.
-2, 1, 32/11
Find k, given that 2*k**2 + 570*k - 4088 = 0.
-292, 7
Suppose -9*n**4 - 51*n**3 + 27*n**2 + 171*n + 102 = 0. Calculate n.
-17/3, -1, 2
Factor -3*q**2 + 195*q + 198.
-3*(q - 66)*(q + 1)
Let w**3/2 + 12*w**2 + 45*w/2 + 11 = 0. Calculate w.
-22, -1
Factor -n**3/4 + 51*n**2/4 - 156*n - 169.
-(n - 26)**2*(n + 1)/4
Find d such that d**4 + 9*d**3 + 18*d**2 - 4*d - 24 = 0.
-6, -2, 1
Determine m so that -m**4/4 + 17*m**3/4 + 169*m**2/4 - 17*m/4 - 42 = 0.
-7, -1, 1, 24
Let w**5/2 + 86*w**4/3 + 3223*w**3/6 + 3357*w**2 + 2144*w/3 - 6400/3 = 0. What is w?
-25, -16, -1, 2/3
Determine h, given that -2*h**2/15 + 8*h/3 - 128/15 = 0.
4, 16
Factor -3*t**4 + 132*t**3 - 1440*t**2 - 528*t + 5808.
-3*(t - 22)**2*(t - 2)*(t + 2)
Let 2*m**4/5 + 4*m**3/5 - 2*m**2 - 12*m/5 = 0. What is m?
-3, -1, 0, 2
Factor g**4 + 21*g**3 - 23*g**2 - 21*g + 22.
(g - 1)**2*(g + 1)*(g + 22)
Factor 4*w**4 - 2548*w**3 - 3*w**2 + 1912*w - 637.
(w - 637)*(w + 1)*(2*w - 1)**2
Find x, given that -3*x**3/5 + 3*x**2/5 + 51*x/5 + 9 = 0.
-3, -1, 5
What is l in -28*l**3 + 10*l**2 + 129*l/4 - 18 = 0?
-8/7, 3/4
Factor 3*a**3 - 81*a**2 - 171*a - 87.
3*(a - 29)*(a + 1)**2
What is x in -2*x**2/23 - 14*x/23 + 16/23 = 0?
-8, 1
Solve 15*s**2 + 267*s/2 + 108 = 0 for s.
-8, -9/10
Factor -2*m**4/15 + 4*m**3/15 - 2*m**2/15.
-2*m**2*(m - 1)**2/15
Factor o**3 + 71*o**2 - 785*o + 2025.
(o - 5)**2*(o + 81)
Factor -4*x**5 + 48*x**4 + 112*x**3.
-4*x**3*(x - 14)*(x + 2)
Factor 4*u**3 + 56*u**2 - 540*u + 1008.
4*(u - 4)*(u - 3)*(u + 21)
Suppose -4*b**4 + 40*b**3 - 36*b**2 = 0. Calculate b.
0, 1, 9
Find v, given that 2*v**2 - 238*v + 236 = 0.
1, 118
Find m, given that -3*m**2 + 28026*m - 65454723 = 0.
4671
Suppose -10*m**3 + 1086*m**2 + 450*m - 1526 = 0. What is m?
-7/5, 1, 109
Find b such that b**5/3 - 14*b**4/3 + 16*b**3 + 14*b**2/3 - 49*b/3 = 0.
-1, 0, 1, 7
Determine m, given that -3*m**2/4 - 87*m/4 = 0.
-29, 0
Factor 3*u**4/5 - 12*u**3/5.
3*u**3*(u - 4)/5
Factor -2*t**2/9 - 8*t/9 + 128/3.
-2*(t - 12)*(t + 16)/9
Factor 5*z**4 - 80*z**3 + 255*z**2 - 180*z.
5*z*(z - 12)*(z - 3)*(z - 1)
Find k such that 3*k**5/2 + 27*k**4/2 + 69*k**3/2 + 21*k**2/2 - 36*k - 24 = 0.
-4, -1, 1
Factor -h**2/6 + 5*h/3 + 13/2.
-(h - 13)*(h + 3)/6
Factor -2*y**4/5 + 21216*y**3/5 - 56243612*y**2/5 - 22510176*y - 11257210.
-2*(y - 5305)**2*(y + 1)**2/5
Let k**5/2 - 251*k**4 + 500*k**3 = 0. What is k?
0, 2, 500
Determine h, given that -147*h**5/4 - 231*h**4/4 - 24*h**3 - 3*h**2 = 0.
-1, -2/7, 0
Factor i**3 + 6*i**2 + 9*i.
i*(i + 3)**2
Suppose -l**2/3 - 62*l/3 = 0. What is l?
-62, 0
Let -9*t**5 + 62*t**4 - 65*t**3 - 152*t**2 - 16*t = 0. Calculate t.
-1, -1/9, 0, 4
Find r such that 3*r**2 + 5685*r - 5688 = 0.
-1896, 1
What is d in -3*d**2/2 + 417*d/2 + 210 = 0?
-1, 140
Factor -4*k**3 - 180*k**2 - 2112*k - 1936.
-4*(k + 1)*(k + 22)**2
Let 18*o**3/7 - 1272*o**2/7 - 1720*o/7 - 576/7 = 0. Calculate o.
-2/3, 72
Let -3*z**4 + 345*z**3 - 10089*z**2 + 9747*z = 0. Calculate z.
0, 1, 57
Find h such that -2*h**2/3 - 34436*h/3 - 148229762/3 = 0.
-8609
Factor 3*j**3/7 + 333*j**2/7 - 1368*j/7 + 1380/7.
3*(j - 2)**2*(j + 115)/7
Let -o**5/3 + 10*o**4/3 + 52*o**3/3 + 56*o**2/3 = 0. Calculate o.
-2, 0, 14
Let 3*q**3/4 + 9*q**2/2 + 15*q/4 = 0. What is q?
-5, -1, 0
Find b such that 4*b**4 + 112*b**3 + 1152*b**2 + 5120*b + 8192 = 0.
-8, -4
Factor 2*l**2/3 + 6*l + 28/3.
2*(l + 2)*(l + 7)/3
What is q in 4*q**3/3 - 124*q**2/3 - 88*q = 0?
-2, 0, 33
Let 5*n**5 - 220*n**4 + 2625*n**3 - 4410*n**2 = 0. Calculate n.
0, 2, 21
Factor -a**2 - 29*a - 28.
-(a + 1)*(a + 28)
Let -12*a**4 - 148*a**3 - 48*a**2 = 0. What is a?
-12, -1/3, 0
Factor w**4 + 73*w**3 + 1500*w**2 + 6052*w + 4624.
(w + 1)*(w + 4)*(w + 34)**2
Factor -n**3/4 - n**2/4 + n/4 + 1/4.
-(n - 1)*(n + 1)**2/4
Factor v**4/4 - 23*v**3/4 + 25*v**2/2 + 287*v - 294.
(v - 14)**2*(v - 1)*(v + 6)/4
Suppose k**2 + 182*k + 181 = 0. What is k?
-181, -1
Find l, given that l**2/6 - 134*l/3 - 269/6 = 0.
-1, 269
Find l, given that 121*l**2/4 - 44*l + 16 = 0.
8/11
Suppose -125*b**2 + 9900*b - 196020 = 0. What is b?
198/5
Suppose x**4/3 + 4*x**3/3 - 7*x**2/3 - 10*x/3 = 0. What is x?
-5, -1, 0, 2
Let 14*a**5/3 - 346*a**4/3 + 74*a**3 + 442*a**2/3 - 236*a/3 - 32 = 0. What is a?
-1, -2/7, 1, 24
Factor 3*x**4 + 444*x**3 + 16866*x**2 + 32412*x + 15987.
3*(x + 1)**2*(x + 73)**2
Let -m**4 - 462*m**3 = 0. What is m?
-462, 0
Factor 3*i**5 - 33*i**4 - 66*i**3 + 1248*i**2 - 1152*i.
3*i*(i - 8)**2*(i - 1)*(i + 6)
Factor -f**4 + 13*f**3.
-f**3*(f - 13)
Suppose 45*v**5/4 + 3225*v**4/4 - 280*v**3 - 715*v**2 + 360*v = 0. Calculate v.
-72, -1, 0, 2/3
Suppose -f**4/3 - 22*f**3/3 - 44*f**2 - 296*f/3 - 224/3 = 0. What is f?
-14, -4, -2
Factor 1681*s**3 - 492*s**2 + 36*s.
s*(41*s - 6)**2
Factor -p**4 - 19*p**3 + 41*p**2 - 21*p.
-p*(p - 1)**2*(p + 21)
Factor 4*g**3/3 - 772*g**2 + 4604*g/3 + 2308.
4*(g - 577)*(g - 3)*(g + 1)/3
What is z in -3*z**2/4 - 7653*z/2 - 19522803/4 = 0?
-2551
Solve -8*i**4 + 6*i**3 + 24*i**2 - 34*i + 12 = 0 for i.
-2, 3/4, 1
Factor 4*b**2 - 4*b - 288.
4*(b - 9)*(b + 8)
Suppose -2*g**4/5 + 4*g**3/5 + 42*g**2/5 + 36*g/5 = 0. What is g?
-3, -1, 0, 6
Factor -3*p**3 - 765*p**2 - 5949*p - 5187.
-3*(p + 1)*(p + 7)*(p + 247)
Factor 5*j**4 - 5*j**3 - 5*j**2 + 5*j.
5*j*(j - 1)**2*(j + 1)
Determine b so that -2*b**5/3 + 10*b**4/3 + 46*b**3/3 + 22*b**2/3 - 44*b/3 - 32/3 = 0.
-2, -1, 1, 8
Suppose 2*b**3/17 + 248*b**2/17 + 7688*b/17 = 0. Calculate b.
-62, 0
Factor 3*k**5/2 - 12*k**4 + 33*k**3 - 36*k**2 + 27*k/2.
3*k*(k - 3)**2*(k - 1)**2/2
Solve -2*l**4 - 10*l**3 + 28*l**2 = 0 for l.
-7, 0, 2
Suppose -5*s**2 + 65*s - 150 = 0. What is s?
3, 10
Factor 2*y**4/3 - 22*y**3/3 - 80*y**2/3 - 56*y/3.
2*y*(y - 14)*(y + 1)*(y + 2)/3
Factor -2*i**3 - 14*i**2 + 42*i + 54.
-2*(i - 3)*(i + 1)*(i + 9)
Factor 5*a**5/2 - 95*a**4/2 + 160*a**3 - 150*a**2.
5*a**2*(a - 15)*(a - 2)**2/2
Factor -3*k**4/2 + 21*k**2/2 + 9*k.
-3*k*(k - 3)*(k + 1)*(k + 2)/2
Let 52*c**3 - 164*c**2 + 128*c - 16 = 0. What is c?
2/13, 1, 2
Suppose x**3 + 1161*x**2 - 4656*x + 4660 = 0. What is x?
-1165, 2
Find c, given that -2*c**5 + 616*c**3 + 612*c**2 - 614*c - 612 = 0.
-17, -1, 1, 18
Factor -147*w**3 - 23604*w**2 - 13452*w - 1920.
-3*(w + 160)*(7*w + 2)**2
Solve -2*q**5/9 + 68*q**4 - 46816*q**3/9 - 68*q**2 + 5202*q = 0.
-1, 0, 1, 153
Factor -2*x**3 + 8088*x**2 - 10902624*x + 4898912384.
-2*(x - 1348)**3
Solve -5*d**4 - 125*d**3 + 150*d**2 + 500*d - 520 = 0.
-26, -2, 1, 2
Factor -2*h**2/3 - 56*h/3 + 256/3.
-2*(h - 4)*(h + 32)/3
Determine c, given that 12*c**4 - 15*c**3 = 0.
0, 5/4
What is a in -a**2/4 + 196