l**2 + 80*l - 600.
-2*(l - 30)*(l - 10)
Find v, given that -v**5/4 - 5*v**4/2 + 59*v**3/4 + 8*v**2 - 37*v - 28 = 0.
-14, -1, 2, 4
Let -2*u**4 - 14*u**3 - 26*u**2 + 6*u + 36 = 0. Calculate u.
-3, -2, 1
Factor 4*w**4 + 8*w**3 - 4*w**2 - 8*w.
4*w*(w - 1)*(w + 1)*(w + 2)
Find m, given that -4*m**2/9 + 8*m/9 + 4/3 = 0.
-1, 3
Solve -4*l**5 - 4*l**4 + 104*l**3 + 104*l**2 - 100*l - 100 = 0 for l.
-5, -1, 1, 5
Factor -x**5/4 + 3*x**4 - 21*x**3/4 + 5*x**2/2.
-x**2*(x - 10)*(x - 1)**2/4
What is o in -o**5/3 - 6*o**4 - 14*o**3/3 + 56*o**2/3 + 29*o + 34/3 = 0?
-17, -1, 2
Suppose k**2/3 + 10*k/3 + 25/3 = 0. What is k?
-5
What is b in b**4/5 + 607*b**3/5 + 18239*b**2 - 55815*b = 0?
-305, 0, 3
Solve 3*s**2 - 189*s/2 + 93/2 = 0.
1/2, 31
What is m in -5*m**2 - 65*m + 1690 = 0?
-26, 13
Let 6*j**5 - 21*j**4 - 102*j**3 + 63*j**2 + 54*j = 0. What is j?
-3, -1/2, 0, 1, 6
Suppose -2*n**4/11 - 14*n**3/11 = 0. Calculate n.
-7, 0
What is z in 6*z**3 - 34*z**2 + 36*z + 16 = 0?
-1/3, 2, 4
Let 7*r**2/3 - 404*r/3 - 116/3 = 0. Calculate r.
-2/7, 58
Factor 3*n**2 + 114*n - 3960.
3*(n - 22)*(n + 60)
Factor r**4/3 - 88*r**3/3 - 184*r**2/3 + 352*r/3 + 240.
(r - 90)*(r - 2)*(r + 2)**2/3
Factor 3*n**3/2 + 3*n**2/2 - 27*n/2 - 27/2.
3*(n - 3)*(n + 1)*(n + 3)/2
Factor 4*v**4 + 72*v**3 + 188*v**2 + 120*v.
4*v*(v + 1)*(v + 2)*(v + 15)
Factor 3*n**3 - 1227*n**2 + 121056*n + 908544.
3*(n - 208)**2*(n + 7)
Find a, given that a**3 - 133*a**2 + 4216*a + 13872 = 0.
-3, 68
Let -5*i**4 - 20*i**3 - 25*i**2 - 10*i = 0. Calculate i.
-2, -1, 0
Suppose -c**2/3 + 2342*c/3 - 1371241/3 = 0. What is c?
1171
Factor -45*b**3 + 195*b**2 - 275*b + 125.
-5*(b - 1)*(3*b - 5)**2
Suppose -2*u**2/7 = 0. What is u?
0
Factor -5*s**4 - 10*s**3 + 5*s**2 + 10*s.
-5*s*(s - 1)*(s + 1)*(s + 2)
Factor 3*v**4 + 39*v**3 + 171*v**2 + 285*v + 150.
3*(v + 1)*(v + 2)*(v + 5)**2
Let -5*h**2/2 + 2065*h - 852845/2 = 0. Calculate h.
413
Factor -3*w**4/5 - 36*w**3/5 + 126*w**2/5 - 132*w/5 + 9.
-3*(w - 1)**3*(w + 15)/5
Find t such that 20*t**5 - 85*t**4 + 80*t**3 + 65*t**2 - 100*t + 20 = 0.
-1, 1/4, 1, 2
Find h such that 9*h**5/10 + 3*h**4 - 88*h**3/5 - 217*h**2/5 + 343*h/10 - 6 = 0.
-5, -3, 1/3, 4
Find b such that -2*b**4/9 - 22*b**3/9 + 232*b**2/9 + 128*b = 0.
-16, -4, 0, 9
Factor 2*w**3/5 + 76*w**2/5 + 128*w - 320.
2*(w - 2)*(w + 20)**2/5
Factor -4*f**3 + 256*f**2.
-4*f**2*(f - 64)
Find i such that i**2/10 + 4*i/5 + 8/5 = 0.
-4
Suppose 9*z**4 - 39*z**3 + 12*z**2 = 0. What is z?
0, 1/3, 4
Solve -n**3 - 12*n**2 + 160*n = 0.
-20, 0, 8
Factor -2*g**2 - 820*g - 84050.
-2*(g + 205)**2
Determine x so that x**3 + 346*x**2 + 345*x = 0.
-345, -1, 0
Factor -2*t**3 - 60*t**2 - 114*t - 56.
-2*(t + 1)**2*(t + 28)
Solve -d**2/2 + 1267*d/2 - 633 = 0 for d.
1, 1266
Suppose -3*g**5/4 + 9*g**4/4 - 3*g**3/2 = 0. What is g?
0, 1, 2
Factor -2*f**2/7 - 54*f/7 - 52/7.
-2*(f + 1)*(f + 26)/7
Determine p, given that 2*p**2/9 - 1120*p/9 + 156800/9 = 0.
280
Factor l**4/5 + 22*l**3/5 + 121*l**2/5.
l**2*(l + 11)**2/5
Determine n, given that n**2/4 - 31*n/4 - 8 = 0.
-1, 32
Suppose -2*f**2/9 + 50*f/9 + 176/3 = 0. What is f?
-8, 33
Solve -45*u**5/7 - 12*u**4 + 21*u**3 + 162*u**2/7 - 204*u/7 + 24/7 = 0.
-2, 2/15, 1
Factor -14*r**3/9 - 536*r**2/9 - 5206*r/9 - 1444/9.
-2*(r + 19)**2*(7*r + 2)/9
Factor 2*j**4/5 + 38*j**3/5 + 152*j**2/5 - 192*j/5.
2*j*(j - 1)*(j + 8)*(j + 12)/5
What is f in -3*f**5/2 + 93*f**4/2 - 177*f**3/2 + 87*f**2/2 = 0?
0, 1, 29
Factor z**5 + 3*z**4 + z**3 - 3*z**2 - 2*z.
z*(z - 1)*(z + 1)**2*(z + 2)
Solve -2*h**2 + 44*h - 42 = 0 for h.
1, 21
Let 16*b**4 + 224*b**3 + 404*b**2 + 244*b + 48 = 0. What is b?
-12, -1, -1/2
What is s in -4*s**2 - 68*s + 240 = 0?
-20, 3
Factor 2*c**3/15 + 14*c**2/15 - 4*c.
2*c*(c - 3)*(c + 10)/15
Factor -3*g**2/5 - 48*g/5 + 483/5.
-3*(g - 7)*(g + 23)/5
Factor -a**4 + 8*a**3 - 18*a**2 + 16*a - 5.
-(a - 5)*(a - 1)**3
Factor -2*q**3 - 12*q**2 - 18*q.
-2*q*(q + 3)**2
Find a such that 3*a**5 + 33*a**4 - 81*a**3 - 33*a**2 + 78*a = 0.
-13, -1, 0, 1, 2
Suppose -40*n**5/3 + 62*n**4/3 + 183*n**3 + 652*n**2/3 + 259*n/3 + 10 = 0. Calculate n.
-2, -3/4, -1/2, -1/5, 5
Factor 5*q**2 - 3513*q - 1406.
(q - 703)*(5*q + 2)
Suppose -3*o**3/5 - 3687*o**2/5 = 0. What is o?
-1229, 0
Factor -g**5/8 - 31*g**4/4 - 15*g**3 + g**2/4 + 121*g/8 + 15/2.
-(g - 1)*(g + 1)**3*(g + 60)/8
Factor 3*h**2/4 - 45*h/4 + 81/2.
3*(h - 9)*(h - 6)/4
Solve l**2 - 115*l + 1144 = 0.
11, 104
Factor -10*r**3/9 - 26*r**2/9 - 22*r/9 - 2/3.
-2*(r + 1)**2*(5*r + 3)/9
Factor 2*g**2/3 - 106*g/3 - 220/3.
2*(g - 55)*(g + 2)/3
Factor -4*l**3 - 124*l**2.
-4*l**2*(l + 31)
Factor -l**3 - 2*l**2 + 8*l.
-l*(l - 2)*(l + 4)
Find n such that 1680*n**3 + 14200*n**2 + 29665*n - 1445 = 0.
-17/4, 1/21
Factor -1369*t**3 + 26936*t**2 + 8844*t + 720.
-(t - 20)*(37*t + 6)**2
Suppose -d**3/3 + 5*d**2 - 44*d/3 = 0. Calculate d.
0, 4, 11
Factor 5*w**2 + 675*w.
5*w*(w + 135)
Let 68*z**2 - 37*z + 5 = 0. Calculate z.
1/4, 5/17
Factor -5*h**4 + 80*h**3 - 225*h**2 - 810*h.
-5*h*(h - 9)**2*(h + 2)
Factor 3*k**3/8 - 117*k**2/8 - 63*k/4 + 30.
3*(k - 40)*(k - 1)*(k + 2)/8
Factor 5*p**2 + 150*p + 1120.
5*(p + 14)*(p + 16)
Determine v so that 4*v**5 + 44*v**4 - 344*v**3 - 256*v**2 + 2176*v + 2048 = 0.
-16, -2, -1, 4
Let 2*w**2 - 1594*w - 1596 = 0. Calculate w.
-1, 798
Factor 3*o**2 + 57*o - 60.
3*(o - 1)*(o + 20)
Suppose -18*n**4/11 - 22*n**3 + 350*n**2/11 + 1354*n/11 + 780/11 = 0. Calculate n.
-130/9, -1, 3
Determine j so that 2*j**2/9 + 28*j + 250/9 = 0.
-125, -1
Factor -128*v**5/5 + 544*v**4/5 - 866*v**3/5 + 612*v**2/5 - 162*v/5.
-2*v*(v - 1)**2*(8*v - 9)**2/5
What is p in -2*p**2/5 + 12*p/5 + 54/5 = 0?
-3, 9
Let 3*h**4 + 23*h**3 + 11*h**2 - 23*h - 14 = 0. Calculate h.
-7, -1, -2/3, 1
Solve 11*b**2/3 - 3*b - 2/3 = 0 for b.
-2/11, 1
Solve 2*b**2/7 - 460*b/7 + 26450/7 = 0 for b.
115
Find z such that -2*z**2 - 760*z - 72200 = 0.
-190
Factor j**2/3 - 4*j/3 - 15.
(j - 9)*(j + 5)/3
Find m such that -3*m**3 - 165*m**2 - 2184*m + 2352 = 0.
-28, 1
Factor 2*x**4/5 - 8*x**3/5 + 6*x**2/5 + 8*x/5 - 8/5.
2*(x - 2)**2*(x - 1)*(x + 1)/5
Suppose -4*f**2 - 72*f + 160 = 0. Calculate f.
-20, 2
Suppose 4*z**5 - 48*z**4 + 176*z**3 - 192*z**2 = 0. Calculate z.
0, 2, 4, 6
Factor 39*b**3 + 105*b**2 + 42*b - 24.
3*(b + 1)*(b + 2)*(13*b - 4)
Suppose -5*r**4 + 253*r**3 - 3273*r**2 + 1775*r + 1250 = 0. Calculate r.
-2/5, 1, 25
Factor 2*o**3/3 + 4*o**2/3 - 2*o/3 - 4/3.
2*(o - 1)*(o + 1)*(o + 2)/3
Factor -3*l**2/7 + 540*l/7 - 537/7.
-3*(l - 179)*(l - 1)/7
Factor -4*b**5 + 28*b**4 + 408*b**3 + 1016*b**2 + 940*b + 300.
-4*(b - 15)*(b + 1)**3*(b + 5)
Suppose 2*p**5 - 14*p**4 - 38*p**3 + 326*p**2 - 420*p = 0. Calculate p.
-5, 0, 2, 3, 7
Suppose -t**2/3 - 182*t/3 - 179 = 0. What is t?
-179, -3
What is d in -4*d**3 + 32*d**2 - 80*d + 64 = 0?
2, 4
Find p, given that p**4 + p**3/2 - 21*p**2/2 = 0.
-7/2, 0, 3
Factor 3*i**4 - 3*i**3 - 135*i**2 - 249*i - 120.
3*(i - 8)*(i + 1)**2*(i + 5)
Factor 2*a**2/5 - 106*a/5 - 108/5.
2*(a - 54)*(a + 1)/5
Factor -2*i**3/17 + 2034*i**2/17 - 689526*i/17 + 77916438/17.
-2*(i - 339)**3/17
Solve -4*o**5 - 56*o**4 - 268*o**3 - 584*o**2 - 592*o - 224 = 0 for o.
-7, -2, -1
Determine t, given that 3*t**2 + 2898*t + 699867 = 0.
-483
Let -6*g**4/17 + 62*g**3/17 + 194*g**2/17 + 178*g/17 + 52/17 = 0. What is g?
-1, -2/3, 13
Factor -2*w**3/19 + 9108*w**2/19.
-2*w**2*(w - 4554)/19
Factor 3*p**4/5 - 69*p**3/5 + 108*p**2 - 1776*p/5 + 2112/5.
3*(p - 11)*(p - 4)**3/5
Factor -5*o**2 + 320*o - 315.
-5*(o - 63)*(o - 1)
Factor -5*o**2 + 150*o - 145.
-5*(o - 29)*(o - 1)
Determine u so that 5*u**5 - 70*u**4 - 770*u**3 - 2300*u**2 - 2595*u - 990 = 0.
-3, -1, 22
Determine m, given that -m**3 + 25*m**2 + m - 25 = 0.
-1, 1, 25
Factor 2*s**5 - 54*s**4 + 438*s**3 - 1010*s**2 + 912*s - 288.
2*(s - 12)**2*(s - 1)**3
Factor 2*q**2/13 - 140*q/13 + 272/13.
2*(q - 68)*(q - 2)/13
Let -2*s**5 - 26*s**4 - 45*s**3/2 + 19*s**2 + 23*s/2 - 6 = 0. Calculate s.
-12, -1, 1/2
Factor -2*u**3 + 72*u**2 - 714*u + 1156.
-2*(u - 17)**2*(u - 2)
Factor 4*a**2 - 4004*a + 4000.
4*(a - 1000)*(a - 1)
What is d in -4*d**2/7 - 8572*d/7 + 8576/7 = 0?
-2144, 1
Factor v**5/3 + 7*v**4/3 + 10*v**3/3 - 2*v**2/3 - 11*v/3 - 5/3.
(v - 1)*(v + 1)**3*(v + 5)/3
Factor 4*u**3 + 172*u**2 - 176*u.
4*u*(u - 1)*(u + 44)
Suppose h**5 - 22*h**4 - 9*h**3 + 202*h**2 - 76*h - 264 = 0