 60*v - 175.
-5*(v + 5)*(v + 7)
Factor x**2 + 18*x - 40.
(x - 2)*(x + 20)
Factor -2*u**3/7 + 22*u**2/7 - 20*u/7.
-2*u*(u - 10)*(u - 1)/7
Solve 15*o**4 + 9*o**3 = 0.
-3/5, 0
Factor -50*b**3/9 - 5890*b**2/9 + 19232*b/9 - 15488/9.
-2*(b + 121)*(5*b - 8)**2/9
Factor -4*l**2/5 - 112*l + 580.
-4*(l - 5)*(l + 145)/5
Solve -3*q**5/5 + 9*q**4/5 + 126*q**3/5 + 60*q**2 + 216*q/5 = 0.
-2, 0, 9
Factor -n**3 - 13*n**2 + 845*n - 6591.
-(n - 13)**2*(n + 39)
Factor -s**2/3 - 76*s/3.
-s*(s + 76)/3
Factor -v**2 + 14*v - 13.
-(v - 13)*(v - 1)
Solve -h**4 + 76*h**3 + 483*h**2 + 738*h = 0.
-3, 0, 82
Determine h so that -12*h**4 + 196*h**3 + 592*h**2 + 304*h = 0.
-2, -2/3, 0, 19
Find d, given that 2*d**4/19 + 6*d**3/19 - 282*d**2/19 - 286*d/19 = 0.
-13, -1, 0, 11
Let -2*z**3 - 14*z**2 - 28*z - 16 = 0. What is z?
-4, -2, -1
Find o such that -4*o**2 - 120*o - 864 = 0.
-18, -12
Factor -2*x**3/7 + 142*x**2 - 1982*x/7 + 990/7.
-2*(x - 495)*(x - 1)**2/7
Factor -4*n**2 - 1984*n - 246016.
-4*(n + 248)**2
Solve 2*d**5/15 - 8*d**4/5 + 28*d**3/5 - 104*d**2/15 + 14*d/5 = 0 for d.
0, 1, 3, 7
Solve 3*v**2 + 6*v - 9 = 0 for v.
-3, 1
Factor c**4 - 49*c**3 + 575*c**2 + 625*c.
c*(c - 25)**2*(c + 1)
Solve -g**4/3 + 10*g**3 - 157*g**2/3 - 136*g - 220/3 = 0.
-1, 10, 22
Determine q, given that 3*q**5 - 114*q**4 + 831*q**3 + 4788*q**2 + 5292*q = 0.
-2, 0, 21
Let 2*k**3/9 + 16*k**2/9 + 14*k/9 = 0. What is k?
-7, -1, 0
Find y such that 3*y**4 - 831*y**3 + 1647*y**2 + 831*y - 1650 = 0.
-1, 1, 2, 275
Determine x so that -6*x**4/11 - 24*x**3/11 - 24*x**2/11 = 0.
-2, 0
Let -9*j**3 - 277*j**2 - 208*j + 60 = 0. What is j?
-30, -1, 2/9
Find z, given that -3*z**5/8 + 3*z**4 - 69*z**3/8 + 21*z**2/2 - 9*z/2 = 0.
0, 1, 2, 3
Solve 5*p**3 + 615*p**2 - 1890*p = 0 for p.
-126, 0, 3
Find t, given that 18*t**4/5 - 52*t**3/5 - 78*t**2/5 - 8*t/5 = 0.
-1, -1/9, 0, 4
Factor -v**4/3 - 46*v**3/3 + v**2 + 136*v/3 - 92/3.
-(v - 1)**2*(v + 2)*(v + 46)/3
Let q**2 - q - 12 = 0. What is q?
-3, 4
Factor -100*z**5 + 680*z**4 - 1696*z**3 + 1856*z**2 - 832*z + 128.
-4*(z - 2)**3*(5*z - 2)**2
Factor 5*x**2 + 990*x + 4825.
5*(x + 5)*(x + 193)
Factor -5*l**2 - 4820*l - 1161620.
-5*(l + 482)**2
Factor 534*o**2 - 538*o + 4.
2*(o - 1)*(267*o - 2)
Suppose -p**4/3 - 37*p**3/3 + 40*p**2 - 4*p/3 - 160/3 = 0. Calculate p.
-40, -1, 2
Factor 3*x**5/8 - 4557*x**4/8 + 1152159*x**3/4 - 193174605*x**2/4 - 779629617*x/8 - 390971529/8.
3*(x - 507)**3*(x + 1)**2/8
Find k such that -2*k**2 + 402*k + 812 = 0.
-2, 203
Factor 2*z**2 - 20*z - 22.
2*(z - 11)*(z + 1)
Factor -o**4 + 5*o**3 - 4*o**2.
-o**2*(o - 4)*(o - 1)
Let -2*l**2 - 14*l + 456 = 0. Calculate l.
-19, 12
Solve -4*f**5/3 + 26*f**4/3 - 34*f**3/3 - 8*f**2 = 0.
-1/2, 0, 3, 4
Find k such that -2*k**4/7 - 94*k**3/7 - 1056*k**2/7 + 1152*k/7 = 0.
-24, 0, 1
Suppose u**2/2 + 150*u + 299/2 = 0. Calculate u.
-299, -1
Factor -o**4/2 - 5*o**3/2 + o**2/2 + 5*o/2.
-o*(o - 1)*(o + 1)*(o + 5)/2
Suppose 3*l**3 - 18*l**2 - 75*l + 450 = 0. What is l?
-5, 5, 6
Let -d**2/5 + 4*d + 261/5 = 0. What is d?
-9, 29
Solve -12*m**4 - 20*m**3 + 436*m**2 + 1780*m + 1848 = 0 for m.
-11/3, -3, -2, 7
Factor v**4/6 - v**3/3 + v**2/6.
v**2*(v - 1)**2/6
Find a, given that 5*a**5 - 11*a**4 - 13*a**3 + 3*a**2 = 0.
-1, 0, 1/5, 3
Factor -3*o**3 + 3*o**2 + 48*o - 48.
-3*(o - 4)*(o - 1)*(o + 4)
Determine z so that -z**5/3 + z**4 + 5*z**3 + 17*z**2/3 + 2*z = 0.
-1, 0, 6
Determine d so that 2*d**3/17 - 24*d**2/17 - 98*d/17 + 120/17 = 0.
-4, 1, 15
Solve -3*c**3/5 - 111*c**2/5 - 969*c/5 + 1083/5 = 0.
-19, 1
Solve 18*w**5 + 42*w**4 - 40*w**3 - 160*w**2 - 128*w - 32 = 0 for w.
-2, -1, -2/3, 2
Factor -2*n**3 + n**2/2 + 11*n/2 + 3.
-(n - 2)*(n + 1)*(4*n + 3)/2
Suppose -50*r**3/9 + 1330*r**2/9 + 538*r/9 + 6 = 0. Calculate r.
-1/5, 27
Solve -j**3/5 + 159*j**2/5 + 1329*j/5 + 1169/5 = 0 for j.
-7, -1, 167
Factor -4*u**3 - 192*u**2 - 884*u - 1032.
-4*(u + 2)*(u + 3)*(u + 43)
Find z such that -5*z**4/6 + 94*z**3/3 - 931*z**2/6 + 566*z/3 - 64 = 0.
3/5, 1, 4, 32
Solve r**2 + 582*r + 1737 = 0.
-579, -3
Let 9*d**5 - 366*d**4/5 + 318*d**3/5 + 324*d**2/5 - 363*d/5 + 42/5 = 0. Calculate d.
-1, 2/15, 1, 7
Find i such that 3*i**3/2 - 777*i**2/2 + 387*i = 0.
0, 1, 258
Find g such that 3*g**5/4 - 3*g**4/4 - 21*g**3/4 + 39*g**2/4 - 9*g/2 = 0.
-3, 0, 1, 2
Find y, given that 4*y**3/5 - 17*y**2/5 - 16*y/5 + 1 = 0.
-1, 1/4, 5
Determine s, given that -s**2/6 - 10*s - 58/3 = 0.
-58, -2
Determine s, given that s**5 + 11*s**4 - s**3 - 11*s**2 = 0.
-11, -1, 0, 1
Factor -3*l**5 - 3*l**4 + 36*l**3.
-3*l**3*(l - 3)*(l + 4)
Factor -2*b**2/3 - 68*b/3.
-2*b*(b + 34)/3
Solve 4*o**2 + 180*o + 1736 = 0.
-31, -14
Suppose -2*k**2/5 + 356*k/5 - 704/5 = 0. Calculate k.
2, 176
Factor -3*g**2 - 93*g - 90.
-3*(g + 1)*(g + 30)
Solve -2*k**5/15 - 8*k**4/15 - 2*k**3/5 + 8*k**2/15 + 8*k/15 = 0 for k.
-2, -1, 0, 1
Find n such that -4*n**5 + 36*n**4 + 4*n**3 - 468*n**2 + 432 = 0.
-3, -1, 1, 6
Suppose -l**4 - 19*l**3 + 42*l**2 = 0. What is l?
-21, 0, 2
Find u such that -4*u**4 + 4*u**2 = 0.
-1, 0, 1
What is w in w**4/4 + 5*w**3/4 - 3*w**2/4 - 17*w/4 - 5/2 = 0?
-5, -1, 2
Factor 125*g**4/6 - 8275*g**3/2 + 4955*g**2/2 - 2971*g/6 + 33.
(g - 198)*(5*g - 1)**3/6
Factor -w**2 - 397*w - 1960.
-(w + 5)*(w + 392)
Let -2*s**3/11 + 6*s**2/11 + 8*s/11 = 0. Calculate s.
-1, 0, 4
Factor -3*n**4/4 - 81*n**3/4 - 729*n**2/4 - 2187*n/4.
-3*n*(n + 9)**3/4
Factor 3*r**4/5 + 12*r**3/5 - 18*r**2/5 - 12*r/5 + 3.
3*(r - 1)**2*(r + 1)*(r + 5)/5
Let 2*w**2 + 132*w + 130 = 0. Calculate w.
-65, -1
Find b such that -63*b**2 - 8133*b - 774 = 0.
-129, -2/21
Factor 5*a**5 - 5*a**4 - 10*a**3.
5*a**3*(a - 2)*(a + 1)
Suppose s**3 - 28*s**2 - 1273*s + 1300 = 0. Calculate s.
-25, 1, 52
Factor -5*x**3 - 275*x**2.
-5*x**2*(x + 55)
Factor 89401*x**4/10 + 18239*x**3/2 + 1803*x**2/10 + 9*x/10.
x*(x + 1)*(299*x + 3)**2/10
Factor -2*c**4/17 + 42*c**3/17 + 44*c**2/17.
-2*c**2*(c - 22)*(c + 1)/17
Factor 65*w**4 + 335*w**3 + 310*w**2 + 40*w.
5*w*(w + 1)*(w + 4)*(13*w + 2)
Factor -2*b**3/5 - 44*b**2/5 - 208*b/5 - 256/5.
-2*(b + 2)*(b + 4)*(b + 16)/5
Factor 3*n**4/4 + 65*n**3/4 + 483*n**2/4 + 1323*n/4 + 343/2.
(n + 7)**3*(3*n + 2)/4
Solve -r**3/4 + 5*r**2/2 + 103*r/4 - 28 = 0 for r.
-7, 1, 16
Factor -2*p**2/11 - 3328*p/11.
-2*p*(p + 1664)/11
Factor -9*q**4 - 15*q**3 + 12*q**2 + 12*q.
-3*q*(q - 1)*(q + 2)*(3*q + 2)
Factor -5*z**2 - 1540*z + 3100.
-5*(z - 2)*(z + 310)
Suppose -6*j**2/11 + 288*j/11 - 3456/11 = 0. What is j?
24
Suppose -3*u**5 - 32*u**4 - 104*u**3 - 128*u**2 - 48*u = 0. What is u?
-6, -2, -2/3, 0
Factor 3*v**4 - 11*v**3 + 8*v**2 + 4*v.
v*(v - 2)**2*(3*v + 1)
Let 5*z**5 - 50*z**4 + 135*z**3 - 70*z**2 - 140*z + 120 = 0. What is z?
-1, 1, 2, 6
What is m in -m**5/5 + 111*m**4/5 - 4107*m**3/5 + 50653*m**2/5 = 0?
0, 37
Factor -t**3/5 + 55*t**2 - 1088*t/5 + 1084/5.
-(t - 271)*(t - 2)**2/5
Find a, given that -3*a**5 + 18*a**4 - 15*a**3 = 0.
0, 1, 5
Factor 4*j**2 + 18808*j + 22108804.
4*(j + 2351)**2
Factor 5*b**4/12 + 49*b**3/12 + 21*b**2/2 + 6*b.
b*(b + 3)*(b + 6)*(5*b + 4)/12
Factor 2*j**3 + 164*j**2 + 2518*j - 2684.
2*(j - 1)*(j + 22)*(j + 61)
Find f such that -f**2/6 - 17*f/6 - 11 = 0.
-11, -6
Factor -r**4 - 2*r**3 + 28*r**2 - 46*r + 21.
-(r - 3)*(r - 1)**2*(r + 7)
Factor -2*q**4 - 1978*q**3 - 651420*q**2 - 71220600*q + 71874000.
-2*(q - 1)*(q + 330)**3
Find x such that -x**3/9 - 10*x**2/3 - 16*x/3 + 224/9 = 0.
-28, -4, 2
Suppose -l**3 - 627*l**2 - 131043*l - 9129329 = 0. What is l?
-209
Suppose -r**4/2 + 3*r**3 - 2*r**2 - 3*r + 5/2 = 0. What is r?
-1, 1, 5
Factor x**3/2 + 13*x**2/2 + 15*x.
x*(x + 3)*(x + 10)/2
Determine k, given that 9*k**2 - 240*k + 576 = 0.
8/3, 24
Suppose -2*o**2 + 204*o - 5184 = 0. What is o?
48, 54
Factor d**3/2 - 367*d**2/6 - 778*d - 1474/3.
(d - 134)*(d + 11)*(3*d + 2)/6
Solve 4*r**3 + 104*r**2 + 352*r = 0 for r.
-22, -4, 0
Suppose -3*o**2 + 876*o = 0. Calculate o.
0, 292
Factor 3*q**4 + 1758*q**3 + 1752*q**2 - 1758*q - 1755.
3*(q - 1)*(q + 1)**2*(q + 585)
Factor -2*u**2/5 - 14*u/5 + 36/5.
-2*(u - 2)*(u + 9)/5
Suppose -2*o**5 + 24*o**4 + 6*o**3 - 76*o**2 + 48*o = 0. What is o?
-2, 0, 1, 12
Factor 4*d**2/3 - 64*d/3 - 140.
4*(d - 21)*(d + 5)/3
Let 10*l**5/7 + 164*l**4/7 - 116*l**3/7 - 232*l**2/7 + 106*l/7 + 68/7 = 0. What is l?
-17, -1, -2/5, 1
Suppose -98*p**3/5 + 2506*p**2/5 - 1408*p/5 + 40 = 0.