 + 192.
-3*(r - 16)*(r - 8)*(r - 1)/2
Suppose 3*r**5/7 + 9*r**4/7 - 12*r**3/7 = 0. Calculate r.
-4, 0, 1
Factor 2*p**2 - 12*p + 16.
2*(p - 4)*(p - 2)
Factor -5*z**2 + 1525*z + 1530.
-5*(z - 306)*(z + 1)
What is q in -7*q**3/5 - 296*q**2/5 + 2716*q/5 + 160 = 0?
-50, -2/7, 8
Suppose 4*u**3 - 4*u**2 - 24*u = 0. What is u?
-2, 0, 3
Factor -2*c**2 + 242*c - 240.
-2*(c - 120)*(c - 1)
Determine x so that -3*x**4 - 27*x**3 + 36*x**2 + 60*x = 0.
-10, -1, 0, 2
Factor -2*f**3 - 42*f**2 + 1724*f - 1680.
-2*(f - 20)*(f - 1)*(f + 42)
Factor 4*j**3 - 200*j**2 - 4*j + 200.
4*(j - 50)*(j - 1)*(j + 1)
Factor 4*j**3 + 35*j**2 - 97*j + 22.
(j - 2)*(j + 11)*(4*j - 1)
Factor -3*r**2/5 + 4704*r/5 + 1884.
-3*(r - 1570)*(r + 2)/5
Factor 162*l**4 + 36*l**3 - 358*l**2 - 40*l + 200.
2*(l - 1)**2*(9*l + 10)**2
Find k such that -78*k**3/11 - 1108*k**2/11 - 678*k/11 + 32 = 0.
-176/13, -1, 1/3
Factor 5*r**2 + 80*r - 85.
5*(r - 1)*(r + 17)
Factor -35*c**2 + 12085*c - 3450.
-5*(c - 345)*(7*c - 2)
Factor -g**3 - 17*g**2 - 80*g - 64.
-(g + 1)*(g + 8)**2
Determine p so that 64*p**5 - 608*p**4 - 2684*p**3 - 2888*p**2 - 980*p - 104 = 0.
-2, -1, -1/4, 13
Factor -h**2/2 - 139*h/3 + 287/2.
-(h - 3)*(3*h + 287)/6
Factor 15*k**4 - 40*k**3 + 15*k**2 + 10*k.
5*k*(k - 2)*(k - 1)*(3*k + 1)
Factor 4*v**3/3 + 259*v**2 + 194*v/3.
v*(v + 194)*(4*v + 1)/3
Factor 2*n**4 - 150*n**3 - 3096*n**2 - 2944*n.
2*n*(n - 92)*(n + 1)*(n + 16)
Solve -2*m**3/7 + 348*m**2/7 - 688*m/7 = 0.
0, 2, 172
Determine j so that 3*j**4 - 207*j**3 + 3861*j**2 - 9801*j = 0.
0, 3, 33
Factor -2*m**3/11 - 136*m**2/11 + 8*m/11 + 544/11.
-2*(m - 2)*(m + 2)*(m + 68)/11
Factor -2*k**3/13 - 602*k**2/13 - 1198*k/13 - 46.
-2*(k + 1)**2*(k + 299)/13
Determine p, given that -2*p**5/9 + 58*p**4/9 - 104*p**3/3 - 1792*p**2/9 + 2048*p/9 = 0.
-4, 0, 1, 16
Let 5*z**5 - 35*z**4 + 50*z**3 = 0. What is z?
0, 2, 5
Find b, given that b**5 - 38*b**4 - 80*b**3 - 2*b**2 + 79*b + 40 = 0.
-1, 1, 40
Factor -2*o**2/3 - 6*o - 12.
-2*(o + 3)*(o + 6)/3
Determine j, given that j**5 + 30*j**4 - 77*j**3 - 426*j**2 - 320*j = 0.
-32, -2, -1, 0, 5
Factor 2*m**2 - 114*m + 112.
2*(m - 56)*(m - 1)
Suppose 507*s**5/7 - 7761*s**4/7 + 16041*s**3/7 - 1569*s**2 + 336*s - 156/7 = 0. What is s?
2/13, 1, 13
Factor 2*a**2/3 - 48*a + 142/3.
2*(a - 71)*(a - 1)/3
Suppose 3*r**3 + 27*r**2 - 36*r - 60 = 0. What is r?
-10, -1, 2
Factor 4*i**4/5 + 16*i**3/5 - 72*i**2/5 + 16*i - 28/5.
4*(i - 1)**3*(i + 7)/5
Determine g, given that -5*g**4 - 55*g**3 - 130*g**2 - 80*g = 0.
-8, -2, -1, 0
Let -3*r**5/4 - 9*r**4/4 + 15*r**3/4 + 81*r**2/4 + 24*r + 9 = 0. Calculate r.
-2, -1, 3
Factor -g**4 + 8*g**3 - 5*g**2 - 14*g.
-g*(g - 7)*(g - 2)*(g + 1)
Factor -4*k**4 + 1256*k**3 - 99844*k**2 + 195936*k - 97344.
-4*(k - 156)**2*(k - 1)**2
What is l in -55*l**5 - 1310*l**4 - 2235*l**3 - 760*l**2 + 220*l = 0?
-22, -1, 0, 2/11
Solve -2*h**4 + 1724*h**3 + 6*h**2 - 5176*h + 3448 = 0.
-2, 1, 862
Factor -4*t**4 + 140*t**3 + 4*t**2 - 140*t.
-4*t*(t - 35)*(t - 1)*(t + 1)
Suppose -4*k**3 - 56*k**2 - 180*k = 0. What is k?
-9, -5, 0
Factor 2*l**2/3 - 2*l/3.
2*l*(l - 1)/3
What is f in 5*f**3 + 5*f**2 - 30*f = 0?
-3, 0, 2
Find o such that 3*o**2/2 + 249*o/2 - 255 = 0.
-85, 2
Factor m**4/5 - 308*m**3/5 - 1558*m**2/5 - 2188*m/5 - 939/5.
(m - 313)*(m + 1)**2*(m + 3)/5
Suppose -l**3/5 + 9*l**2/5 + 12*l/5 - 4 = 0. Calculate l.
-2, 1, 10
Determine s so that -4*s**5 - 88*s**4 - 308*s**3 + 1312*s**2 + 1536*s = 0.
-16, -8, -1, 0, 3
Suppose -2*h**3/17 - 4*h**2/17 + 110*h/17 + 400/17 = 0. What is h?
-5, 8
Solve 2*y**5/9 - 8*y**4/9 - 2*y**3/3 + 20*y**2/9 + 16*y/9 = 0 for y.
-1, 0, 2, 4
Find t such that -40*t**2 - 14148*t + 4248 = 0.
-354, 3/10
Factor -5*o**5 + 135*o**4.
-5*o**4*(o - 27)
Let 2*u**2 + 446*u - 900 = 0. Calculate u.
-225, 2
Factor t**3/3 - 4*t**2/3 - 5*t/3.
t*(t - 5)*(t + 1)/3
Let 3*l**2 - 69*l = 0. What is l?
0, 23
Factor -5*x**3 + 1020*x**2 - 2025*x + 1010.
-5*(x - 202)*(x - 1)**2
Solve -45*b**5 - 345*b**4 - 695*b**3 + 225*b**2 + 1080*b - 540 = 0.
-3, 2/3
Factor 3*r**4/2 - 30*r**3 + 237*r**2/2 - 90*r.
3*r*(r - 15)*(r - 4)*(r - 1)/2
Factor 3*w**3 + 3*w**2 - 975*w + 969.
3*(w - 17)*(w - 1)*(w + 19)
Factor 2*a**2/13 - 6836*a/13 + 5841362/13.
2*(a - 1709)**2/13
Let 3*o**5 - 7*o**4 - 11*o**3 + 27*o**2 + 8*o - 20 = 0. Calculate o.
-5/3, -1, 1, 2
Factor -p**2 - 206*p - 205.
-(p + 1)*(p + 205)
Factor 3*b**2 - 879*b - 11934.
3*(b - 306)*(b + 13)
Solve 2*c**3/9 - 8*c**2/9 + 2*c/3 = 0 for c.
0, 1, 3
Factor 7*d**3/3 - 464*d**2/3 + 1556*d - 432.
(d - 54)*(d - 12)*(7*d - 2)/3
Factor 2*m**5/9 - 118*m**4/9 + 1142*m**3/9 + 1910*m**2 + 6528*m + 6936.
2*(m - 34)**2*(m + 3)**3/9
Solve -2*v**5/5 + 36*v**4/5 + 4656*v**3/5 - 10208*v**2/5 - 3333792*v/5 - 37566144/5 = 0 for v.
-22, 42
Factor 3*g**3/7 - 6*g**2/7 - 9*g/7.
3*g*(g - 3)*(g + 1)/7
Determine a, given that -2*a**3 + 1200*a**2 - 240000*a + 16000000 = 0.
200
Determine a so that -25*a**5 - 35*a**4 + 115*a**3 - 25*a**2 - 30*a = 0.
-3, -2/5, 0, 1
Find w, given that 2*w**5/5 - 146*w**4/5 + 3596*w**3/5 - 30816*w**2/5 + 20736*w/5 + 55296/5 = 0.
-1, 2, 24
Factor -21*v**3 + 60*v**2 - 33*v - 6.
-3*(v - 2)*(v - 1)*(7*v + 1)
Suppose 2*m**3/9 - 10*m**2/3 - 2*m/9 + 10/3 = 0. What is m?
-1, 1, 15
Determine o so that 3*o**2/8 + 81*o/2 + 2187/2 = 0.
-54
Let -9*s**3 - 537*s**2 - 1335*s + 1881 = 0. Calculate s.
-57, -11/3, 1
Factor 2*g**5 - 3*g**4 - 30*g**3 - 25*g**2.
g**2*(g - 5)*(g + 1)*(2*g + 5)
What is d in 3*d**5/5 + 84*d**4/5 + 417*d**3/5 + 444*d**2/5 - 84*d - 528/5 = 0?
-22, -4, -2, -1, 1
Suppose s**2/5 + 153*s/5 - 154/5 = 0. What is s?
-154, 1
Suppose g**4/11 - 58*g**3/11 + 468*g**2/11 - 1350*g/11 + 1323/11 = 0. Calculate g.
3, 49
Suppose -o**4/6 + 91*o**3/6 - 705*o**2/2 + 675*o/2 = 0. Calculate o.
0, 1, 45
Suppose -j**3 + 28*j**2/5 - 28*j/5 - 16/5 = 0. What is j?
-2/5, 2, 4
Determine j, given that 14*j**5/5 - 914*j**4/5 + 2038*j**3/5 - 278*j**2 + 252*j/5 = 0.
0, 2/7, 1, 63
Suppose -2*g**3 - 6296*g**2/7 - 706950*g/7 + 202500/7 = 0. Calculate g.
-225, 2/7
Factor t**3/3 + 82*t**2/3 - 85*t/3 - 166/3.
(t - 2)*(t + 1)*(t + 83)/3
Factor 5*d**4 - 46*d**3 + 9*d**2.
d**2*(d - 9)*(5*d - 1)
Factor q**5 + q**4 - 22*q**3 - 40*q**2.
q**2*(q - 5)*(q + 2)*(q + 4)
Let 15*b**4 - 9903*b**3 + 1980*b**2 = 0. What is b?
0, 1/5, 660
Find k such that -39*k**2/7 + 18*k = 0.
0, 42/13
Factor -9*q**3/4 - 123*q**2/8 - 87*q/4.
-3*q*(q + 2)*(6*q + 29)/8
Factor -2*h**4 + 120*h**3 - 234*h**2 + 116*h.
-2*h*(h - 58)*(h - 1)**2
Solve 6*p**2/11 + 438*p/11 - 9828/11 = 0 for p.
-91, 18
Factor x**4/5 + 883*x**3/5 + 51861*x**2 + 5030045*x - 10268950.
(x - 2)*(x + 295)**3/5
Let -4*a**4/7 + 364*a**3 + 2556*a**2/7 - 364*a - 2552/7 = 0. Calculate a.
-1, 1, 638
Factor -30*x**3 + 57*x**2 + 12*x - 12.
-3*(x - 2)*(2*x + 1)*(5*x - 2)
Find u, given that -4*u**2 - 984*u - 60516 = 0.
-123
Factor -1039682*h**2 - 17304*h - 72.
-2*(721*h + 6)**2
Find m, given that -3*m**5/4 - 3*m**4/4 + 27*m**3/4 + 27*m**2/4 = 0.
-3, -1, 0, 3
Determine t, given that -t**5/9 + 11*t**4/9 - 35*t**3/9 + 25*t**2/9 = 0.
0, 1, 5
Factor 3*y**3/7 + 594*y**2/7 + 29403*y/7.
3*y*(y + 99)**2/7
Factor u**3 - 222*u**2.
u**2*(u - 222)
Let m**3/4 + 5*m**2/2 = 0. What is m?
-10, 0
Suppose -3*o**2 - 15*o - 12 = 0. Calculate o.
-4, -1
Solve -4*x**4/3 - 16*x**3/3 + 40*x**2 + 400*x/3 - 500/3 = 0 for x.
-5, 1, 5
Factor -p**5/2 + 2*p**4 - 3*p**3 + 2*p**2 - p/2.
-p*(p - 1)**4/2
Determine p, given that -2*p**2/23 + 4*p/23 - 2/23 = 0.
1
Factor -a**2 + 44*a + 45.
-(a - 45)*(a + 1)
What is a in a**3/5 + 2*a**2 + 23*a/5 + 14/5 = 0?
-7, -2, -1
Factor n**4/3 - 19*n**3/3 + 16*n**2/3 + 12*n.
n*(n - 18)*(n - 2)*(n + 1)/3
Determine a, given that -7*a**2/5 + 58*a/5 - 16/5 = 0.
2/7, 8
Let -6*v**5/5 - 22*v**4/5 - 22*v**3/5 - 2*v**2/5 + 4*v/5 = 0. What is v?
-2, -1, 0, 1/3
Determine p so that -3*p**3 - 121*p**2 - 373*p - 111 = 0.
-37, -3, -1/3
Let -25*r**2 - 30*r - 5 = 0. Calculate r.
-1, -1/5
Find t, given that 4*t**4 - 55*t**3 + 163*t**2/2 + 31*t - 12 = 0.
-1/2, 1/4, 2, 12
Let -2*g**3 - 20*g**2 - 26*g + 48 = 0. Calculate g.
-8, -3, 1
Suppose -s**2 + 200*s - 199 = 0. What is s?
1, 199
Factor 4*z**4 - 148*z**3 + 416*z**2 - 272*z.
4*z*(z - 34)*(z - 2)*(z - 1)
Suppose 4*c**2/7 - 12176*c/7 + 9265936/7 = 0. Calculate c.
1522
Factor 5*x**3 - 9210*x**2 + 5654940*x - 1157377720.
5*(x - 614)**3
Facto