)*(k - 3)/17
Factor 3*t**3 + 21*t**2 - 123*t + 99.
3*(t - 3)*(t - 1)*(t + 11)
Factor 2*t**4 + 56*t**3/5 + 96*t**2/5 + 32*t/5 - 32/5.
2*(t + 2)**3*(5*t - 2)/5
Suppose 105*p**3 + 39*p**2/2 - 9*p = 0. Calculate p.
-2/5, 0, 3/14
Factor 2*z**2 - 3088*z + 1191968.
2*(z - 772)**2
Factor 2*v**2 - 8928*v + 9963648.
2*(v - 2232)**2
Factor -4*k**3 - 764*k**2 + 4*k + 764.
-4*(k - 1)*(k + 1)*(k + 191)
Factor 2*v**2/11 - 202*v/11 + 200/11.
2*(v - 100)*(v - 1)/11
Find u such that 2*u**3 + 24*u**2 + 54*u - 80 = 0.
-8, -5, 1
Factor 2*h**5 + 54*h**4.
2*h**4*(h + 27)
Let -4*o**2/3 + 496*o/3 - 15376/3 = 0. Calculate o.
62
Factor -3*g**2 - 72*g + 336.
-3*(g - 4)*(g + 28)
Find m, given that 4*m**3/3 + 80*m**2/3 - 172*m/3 + 88/3 = 0.
-22, 1
Factor -3*m**4 - 12*m**3 + 3*m**2 + 12*m.
-3*m*(m - 1)*(m + 1)*(m + 4)
Solve -4*t**4 - 28*t**3 + 196*t**2 + 220*t = 0.
-11, -1, 0, 5
Factor 2*z**4/3 + 14*z**3/3 + 10*z**2 + 6*z.
2*z*(z + 1)*(z + 3)**2/3
What is v in -2*v**4 - 14*v**3 + 50*v**2 + 134*v + 72 = 0?
-9, -1, 4
Solve 2*g**2/9 - 268*g/9 + 8978/9 = 0 for g.
67
What is k in -15*k**4 + 725*k**3 + 2055*k**2 - 765*k = 0?
-3, 0, 1/3, 51
Factor 3*u**5 - 21*u**4 + 18*u**3.
3*u**3*(u - 6)*(u - 1)
Find d such that -d**4 + 20*d**3 - 105*d**2 + 90*d + 216 = 0.
-1, 3, 6, 12
Determine z so that 9*z**4/5 + 1416*z**3/5 + 53776*z**2/5 - 30208*z + 20480 = 0.
-80, 4/3
Factor -p**4 - 66*p**3 + 140*p**2 + 264*p - 544.
-(p - 2)**2*(p + 2)*(p + 68)
Suppose 2*x**3 - 24*x**2 + 22*x = 0. What is x?
0, 1, 11
Factor -x**5 + 13*x**4 - 49*x**3 + 79*x**2 - 58*x + 16.
-(x - 8)*(x - 2)*(x - 1)**3
Factor -18*a**4/13 - 168*a**3 - 67688*a**2/13 - 6720*a - 28800/13.
-2*(a + 60)**2*(3*a + 2)**2/13
Factor 5*y**4/6 - y**3/2 - 5*y**2/6 + y/2.
y*(y - 1)*(y + 1)*(5*y - 3)/6
Suppose n**3 + 12*n**2 - 141*n - 152 = 0. Calculate n.
-19, -1, 8
Suppose k**3 + 660*k**2 + 145200*k + 10648000 = 0. Calculate k.
-220
Factor 15*d**3/2 - 7*d**2 - 3*d/2 + 1.
(d - 1)*(3*d - 1)*(5*d + 2)/2
Let 2*g**3/9 + 68*g**2 + 15808*g/3 + 92416/9 = 0. Calculate g.
-152, -2
Factor -3*b**4 + 12*b**3 - 18*b**2 + 12*b - 3.
-3*(b - 1)**4
Factor -4*u**2/9 - 226*u/9 + 38/3.
-2*(u + 57)*(2*u - 1)/9
Factor 2*y**2 - 34*y - 36.
2*(y - 18)*(y + 1)
Factor -j**4/2 + 50*j**3 - 1199*j**2 - 2550*j - 2601/2.
-(j - 51)**2*(j + 1)**2/2
Determine d, given that -2*d**2/7 + 128*d/7 - 128 = 0.
8, 56
Find r such that -r**4/5 - 11*r**3/5 + 8*r**2 - 28*r/5 = 0.
-14, 0, 1, 2
Find f such that f**5/2 - 3*f**4/8 - 53*f**3/8 - 9*f**2/8 + 49*f/8 + 3/2 = 0.
-3, -1, -1/4, 1, 4
What is v in -v**3/4 - 135*v**2/4 - 4623*v/4 - 4489/4 = 0?
-67, -1
Factor 2*y**3/5 - 174*y**2/5 + 4752*y/5 - 41624/5.
2*(y - 43)*(y - 22)**2/5
Solve 5*k**4/4 - 35*k**3/2 - 65*k**2 + 35*k/2 + 255/4 = 0.
-3, -1, 1, 17
What is f in 2*f**3 - 30*f**2 + 76*f - 48 = 0?
1, 2, 12
Factor 4*g**2/9 + 40*g/3 - 124/9.
4*(g - 1)*(g + 31)/9
Solve 2*t**3 - 14*t**2 - 258*t + 270 = 0 for t.
-9, 1, 15
Factor x**5 + 5*x**4 - 7*x**3 - 5*x**2 + 6*x.
x*(x - 1)**2*(x + 1)*(x + 6)
Factor r**2 + 24*r - 25.
(r - 1)*(r + 25)
What is q in 44*q**2 + 50*q/3 - 8/3 = 0?
-1/2, 4/33
Factor -3*s**5 - 54*s**4 - 327*s**3 - 756*s**2 - 588*s.
-3*s*(s + 2)**2*(s + 7)**2
Suppose -3*d**3 + 2*d**2 + d = 0. Calculate d.
-1/3, 0, 1
Find p, given that p**3/3 + 8066*p**2/3 - 16135*p/3 + 8068/3 = 0.
-8068, 1
Find x, given that 2*x**5/7 - 22*x**4/7 + 44*x**3/7 + 156*x**2/7 - 558*x/7 + 54 = 0.
-3, 1, 3, 7
Find w such that 2*w**3/3 - 7*w**2/3 + 7*w/3 - 2/3 = 0.
1/2, 1, 2
Solve s**2 + 8*s = 0 for s.
-8, 0
Solve 2*l**2/13 - 28*l/13 + 2 = 0.
1, 13
Suppose h**4 + 56*h**3 + 108*h**2 = 0. Calculate h.
-54, -2, 0
What is j in -20*j**5/3 + 256*j**4 - 1148*j**3 - 4984*j**2/3 + 11392*j - 4224 = 0?
-3, 2/5, 4, 33
Let -4*q**4/7 + 11*q**3/7 - 5*q**2/7 - 2*q/7 = 0. Calculate q.
-1/4, 0, 1, 2
Let -2*c**4/3 + 58*c**3/3 - 470*c**2/3 + 258*c - 120 = 0. What is c?
1, 12, 15
What is z in -4*z**2/3 + 1004*z/3 + 2408 = 0?
-7, 258
Find y, given that 4*y**3 - 4*y**2 - 1600*y + 1600 = 0.
-20, 1, 20
Find q such that 16*q**3 + 12*q**2 - 36*q + 8 = 0.
-2, 1/4, 1
Suppose -2*h**5/3 - 22*h**4/9 + 50*h**3/9 + 190*h**2/9 + 76*h/9 - 16/3 = 0. Calculate h.
-4, -2, -1, 1/3, 3
What is o in 4*o**2 + 2832*o - 8532 = 0?
-711, 3
Factor -n**2/5 + 19*n - 94/5.
-(n - 94)*(n - 1)/5
Find d, given that d**2/3 - 1480*d/3 + 547600/3 = 0.
740
Determine x so that x**5/4 + x**4/4 - 59*x**3/4 - 113*x**2/4 + 29*x/2 + 28 = 0.
-7, -2, -1, 1, 8
Factor r**2/6 - 11*r/6 - 7.
(r - 14)*(r + 3)/6
Factor 2*s**4 + 240*s**3 - 2*s**2 - 240*s.
2*s*(s - 1)*(s + 1)*(s + 120)
Determine g so that -g**2 - 1598*g - 638401 = 0.
-799
Determine f so that 5*f**3 + 235*f**2 + 3640*f + 18620 = 0.
-19, -14
Solve -3*k**2 + 39*k + 690 = 0.
-10, 23
Factor 2*y**3/3 + 26*y**2/3 - 28*y/3.
2*y*(y - 1)*(y + 14)/3
Suppose 3*w**5/7 + 15*w**4/7 - 120*w**2/7 - 240*w/7 - 144/7 = 0. Calculate w.
-2, 3
Factor -4*i**2 + 440*i.
-4*i*(i - 110)
Solve 2*i**2 + 140*i + 1098 = 0.
-61, -9
Factor -2*x**2/5 - 6*x/5 + 16.
-2*(x - 5)*(x + 8)/5
Find h such that 2*h**2/15 - 6/5 = 0.
-3, 3
Factor 8*r**2/9 + 250*r/9 + 574/3.
2*(r + 21)*(4*r + 41)/9
Determine i so that 54*i**4 - 160*i**3 - 6*i**2 + 216*i + 8 = 0.
-1, -1/27, 2
Factor 5*w**3 - 45*w**2 + 135*w - 135.
5*(w - 3)**3
Factor 3*y**4/5 - 6*y**3/5 + 3*y**2/5.
3*y**2*(y - 1)**2/5
Factor -5*u**2 - 35*u + 150.
-5*(u - 3)*(u + 10)
Let -f**4/4 + f**3/2 + f**2 - f/2 - 3/4 = 0. Calculate f.
-1, 1, 3
Suppose -4*t**5 - 48*t**4 - 156*t**3 - 112*t**2 = 0. What is t?
-7, -4, -1, 0
Factor -8*u**3 - 196*u**2 + 660*u.
-4*u*(u - 3)*(2*u + 55)
Factor -l**3 - 4*l**2 - l + 6.
-(l - 1)*(l + 2)*(l + 3)
Solve b**4 + 26*b**3 + 21*b**2 - 104*b - 100 = 0.
-25, -2, -1, 2
Factor 2*p**2/11 - 82*p/11 + 228/11.
2*(p - 38)*(p - 3)/11
Factor -12*k**3 + 16*k**2 + 116*k - 120.
-4*(k - 1)*(k + 3)*(3*k - 10)
Factor 15*i**4 + 1205*i**3 + 390*i**2 - 800*i.
5*i*(i + 1)*(i + 80)*(3*i - 2)
Determine l, given that 15*l**2 - 25*l + 10 = 0.
2/3, 1
Factor 4*a**2 - 1248*a - 1252.
4*(a - 313)*(a + 1)
Suppose -8*z**5 + 51*z**4 - 82*z**3 + 24*z**2 = 0. What is z?
0, 3/8, 2, 4
Suppose 4*r**4/3 + 80*r**3/3 - 260*r**2/3 - 640*r - 528 = 0. What is r?
-22, -3, -1, 6
Let -b**2/8 + 597*b/2 - 356409/2 = 0. What is b?
1194
Factor 2*p**3 - 16*p**2 - 18*p.
2*p*(p - 9)*(p + 1)
What is h in 5*h**3 - 255*h**2 + 3375*h - 13365 = 0?
9, 33
Factor -53*o**3/4 - 79*o**2/2 + 533*o/4 - 5/2.
-(o - 2)*(o + 5)*(53*o - 1)/4
Factor -3*w**3/2 - 9*w**2/2 + 51*w - 72.
-3*(w - 3)*(w - 2)*(w + 8)/2
Determine w, given that w**4 + 52*w**3 - 53*w**2 = 0.
-53, 0, 1
Let -15*x**5 - 2015*x**4 - 69985*x**3 - 155765*x**2 - 109560*x - 21780 = 0. Calculate x.
-66, -1, -1/3
Factor -300*x**4 - 210*x**3 + 333*x**2/4 - 27*x/4.
-3*x*(x + 1)*(20*x - 3)**2/4
Factor 4*l**2 - 104*l + 100.
4*(l - 25)*(l - 1)
Determine l, given that 3*l**2/5 + 1649*l/5 - 110 = 0.
-550, 1/3
What is l in 2*l**4/7 + 52*l**3/7 - 110*l**2/7 + 8*l = 0?
-28, 0, 1
Determine r, given that -2*r**5/5 - 8*r**4/5 + 8*r**3/5 + 44*r**2/5 - 6*r/5 - 36/5 = 0.
-3, -1, 1, 2
Find c such that 2*c**3/5 - 354*c**2/5 + 352*c/5 = 0.
0, 1, 176
Solve 2*v**2/5 + 8*v - 522/5 = 0 for v.
-29, 9
Solve m**4/3 + 3*m**3 - 3*m**2 - 27*m = 0.
-9, -3, 0, 3
Factor -4*u**4 + 12*u**3 + 52*u**2 - 204*u + 144.
-4*(u - 3)**2*(u - 1)*(u + 4)
Determine g so that g**5/5 + 12*g**4/5 + 53*g**3/5 + 22*g**2 + 108*g/5 + 8 = 0.
-5, -2, -1
Factor -u**4.
-u**4
Factor -5*w**4 + 55*w**3 + 65*w**2 - 55*w - 60.
-5*(w - 12)*(w - 1)*(w + 1)**2
Determine v so that -v**5/9 + 65*v**4/9 + 30*v**3 + 410*v**2/9 + 275*v/9 + 23/3 = 0.
-1, 69
Solve -4*y**4 - 124*y**3 + 1852*y**2 + 124*y - 1848 = 0 for y.
-42, -1, 1, 11
Determine t so that 2*t**2 - 226*t - 228 = 0.
-1, 114
Let 2*c**5/15 - 4*c**4/15 - 138*c**3/5 - 352*c**2/3 + 2176*c/15 = 0. Calculate c.
-8, 0, 1, 17
Factor u**5/7 + 272*u**4/7 + 268*u**3/7 - 818*u**2/7 - 1357*u/7 - 542/7.
(u - 2)*(u + 1)**3*(u + 271)/7
Factor -y**4/7 - 19*y**3/7 + 89*y**2/7 - 69*y/7.
-y*(y - 3)*(y - 1)*(y + 23)/7
Find c such that 294*c**3 - 878*c**2 - 1188*c - 16 = 0.
-1, -2/147, 4
Find f, given that -3*f**3 + 6*f**2 + 285*f + 900 = 0.
-5, 12
What is x in -21*x**5 + 2955*x**4 + 9855*x**3 + 11625*x**2 + 5610*x + 864 = 0?
-1, -2/7, 144
Factor r**3/6 - 13*r**2/6 - 64*r/3 - 40.
(r - 20)*(r + 3)*(r + 4)/6
Factor -2*u**2 - 1378*u + 4152.
-2*(u - 3)*(u + 692)
Determi