ctor 4*y**2/7 + 16*y/7 - 20/7.
4*(y - 1)*(y + 5)/7
Determine b, given that 85*b**5/6 - 415*b**4/6 + 35*b**3/6 + 1795*b**2/6 - 220*b - 30 = 0.
-2, -2/17, 1, 3
Find x such that x**3/4 - 9*x**2/4 + 2*x = 0.
0, 1, 8
Factor 76*y**5 - 312*y**4 + 336*y**3 - 32*y**2.
4*y**2*(y - 2)**2*(19*y - 2)
Factor -2*u**2/5 + 684*u/5 - 58482/5.
-2*(u - 171)**2/5
Determine o so that o**4/3 - 2*o**3 - 28*o**2/3 + 2*o + 9 = 0.
-3, -1, 1, 9
Factor 2*k**3/9 - 248*k**2/9 + 7930*k/9 - 14884/9.
2*(k - 61)**2*(k - 2)/9
Suppose -2*n**4/13 + 118*n**3/13 - 334*n**2/13 - 118*n/13 + 336/13 = 0. Calculate n.
-1, 1, 3, 56
Factor l**2/2 - 99*l + 197/2.
(l - 197)*(l - 1)/2
Factor 4*t**4 - 300*t**3 + 5472*t**2 + 5776*t.
4*t*(t - 38)**2*(t + 1)
Find p such that 2*p**3/15 - 104*p**2/15 + 264*p/5 + 672/5 = 0.
-2, 12, 42
Factor -4*f**4 + 40*f**3 - 124*f**2 + 120*f.
-4*f*(f - 5)*(f - 3)*(f - 2)
Factor 33*v**3 - 48*v**2 - 204*v + 336.
3*(v - 2)**2*(11*v + 28)
Determine u so that -3*u**4/2 - 47*u**3/2 - 171*u**2/2 - 193*u/2 - 33 = 0.
-11, -3, -1, -2/3
Let -12*n**4 - 129*n**3 - 87*n**2 + 30*n = 0. What is n?
-10, -1, 0, 1/4
Factor y**4 + 51*y**3 - 273*y**2 + 389*y - 168.
(y - 3)*(y - 1)**2*(y + 56)
Suppose -11*t**3/9 + 157*t**2/3 + 86*t/9 = 0. What is t?
-2/11, 0, 43
What is t in -5*t**3 - 550*t**2 - 1080*t = 0?
-108, -2, 0
Factor 2*o**3/3 - 386*o**2 + 55680*o + 168200/3.
2*(o - 290)**2*(o + 1)/3
Factor -8*g**4 + 22*g**3 - 10*g**2 - 4*g.
-2*g*(g - 2)*(g - 1)*(4*g + 1)
Factor -2*w**5/3 - 8*w**4/3.
-2*w**4*(w + 4)/3
Find r, given that -20*r**3/3 + 56*r**2 - 68*r + 56/3 = 0.
2/5, 1, 7
Factor 3*x**3/7 + 15*x**2/7 - 3*x/7 - 15/7.
3*(x - 1)*(x + 1)*(x + 5)/7
Find c, given that 2*c**3 + 24*c**2 + 42*c - 196 = 0.
-7, 2
Solve -8*y**3 - 44*y**2/3 + 28*y/3 + 40/3 = 0.
-2, -5/6, 1
Let 14*o**2 - 4*o = 0. Calculate o.
0, 2/7
Solve 3*k**2 - 87*k + 540 = 0.
9, 20
Suppose -2*z**2/5 - 28*z/5 = 0. What is z?
-14, 0
Suppose -9*w**4 + 2737*w**3/5 - 42726*w**2/5 + 6732*w - 1080 = 0. What is w?
2/9, 3/5, 30
Find t, given that 2*t**2/9 + 1744*t/9 + 380192/9 = 0.
-436
Suppose 5*q**4 - 10*q**3 - 65*q**2 + 190*q - 120 = 0. Calculate q.
-4, 1, 2, 3
Suppose 25*t**3 - 140*t**2 + 140*t + 80 = 0. What is t?
-2/5, 2, 4
Find k such that -3*k**5/5 + 42*k**4/5 - 117*k**3/5 - 162*k**2/5 = 0.
-1, 0, 6, 9
Solve -18*l**5/7 + 1992*l**4/7 - 49520*l**3/7 - 44416*l**2 - 346144*l/7 - 107648/7 = 0 for l.
-4, -2/3, 58
Let p**3/5 + 179*p**2/5 - 361*p/5 + 181/5 = 0. Calculate p.
-181, 1
Factor -p**3/5 - 7*p**2/5 + 8*p/5.
-p*(p - 1)*(p + 8)/5
Find h, given that 2*h**2 + 714*h + 712 = 0.
-356, -1
Solve 15*d**3 - 351*d**2 + 138*d = 0.
0, 2/5, 23
Let 14*s**5/11 - 192*s**4/11 + 434*s**3/11 - 168*s**2/11 - 8*s = 0. What is s?
-2/7, 0, 1, 2, 11
Find s such that 5*s**5 + 20*s**4 - 120*s**3 - 270*s**2 + 675*s + 810 = 0.
-6, -3, -1, 3
Factor 4*r**2 + 5704*r + 2033476.
4*(r + 713)**2
Factor 2*f**3/17 + 16*f**2/17 + 10*f/17 - 28/17.
2*(f - 1)*(f + 2)*(f + 7)/17
Factor 3*c**2 - 60*c - 288.
3*(c - 24)*(c + 4)
What is c in 2*c**2 + 62*c + 60 = 0?
-30, -1
Factor -2*q**4/11 - 90*q**3/11 - 174*q**2/11 - 86*q/11.
-2*q*(q + 1)**2*(q + 43)/11
Factor -4*m**3 + 32*m**2 - 60*m.
-4*m*(m - 5)*(m - 3)
Find r such that -3*r**2 - 9*r + 324 = 0.
-12, 9
Factor -4*r**3 - 16*r**2 + 4*r + 16.
-4*(r - 1)*(r + 1)*(r + 4)
Find q, given that 5*q**4/2 - 40*q**3 - 85*q**2/2 = 0.
-1, 0, 17
Let 3*g**4 + 36*g**3 - 42*g**2 - 36*g + 39 = 0. What is g?
-13, -1, 1
Determine i so that 4*i**5 - 60*i**4 + 292*i**3 - 516*i**2 + 280*i = 0.
0, 1, 2, 5, 7
Let 5*o**4 + 20*o**3 - 65*o**2 - 200*o + 240 = 0. What is o?
-4, 1, 3
Factor -4*y**2 + 224*y.
-4*y*(y - 56)
Factor 2*k**5/13 + 20*k**4/13 - 288*k**3/13.
2*k**3*(k - 8)*(k + 18)/13
Find r, given that -r**2/6 + 99*r/2 - 295/3 = 0.
2, 295
Factor 2*s**2/21 + 1628*s/21 + 331298/21.
2*(s + 407)**2/21
Suppose -o**3/6 - 19*o**2/6 + 35*o/2 + 825/2 = 0. What is o?
-15, 11
Determine g, given that -3*g**4/5 - 57*g**3/5 + 66*g**2/5 + 24*g = 0.
-20, -1, 0, 2
Solve -2*m**4/7 + 46*m**3/7 - 236*m**2/7 + 192*m/7 = 0.
0, 1, 6, 16
Determine t so that -2*t**4/5 - 4*t**3/5 + 24*t**2/5 - 28*t/5 + 2 = 0.
-5, 1
Solve -2*m**5/9 - 8*m**4/3 + 14*m**3/9 + 500*m**2/9 + 136*m + 880/9 = 0.
-11, -2, 5
Solve -n**4/3 - 124*n**3/3 + 509*n**2/3 - 128*n = 0 for n.
-128, 0, 1, 3
Factor 2*b**5 - 94*b**4 - 1090*b**3 - 2850*b**2.
2*b**2*(b - 57)*(b + 5)**2
Determine o so that 11*o**2/2 - 21*o + 27/2 = 0.
9/11, 3
Factor -4*d**2 + 4.
-4*(d - 1)*(d + 1)
Suppose -n**2 + 127*n = 0. What is n?
0, 127
Factor 84100*o**2 + 2320*o + 16.
4*(145*o + 2)**2
Find i such that 28*i**3 + 36*i**2 + 8*i = 0.
-1, -2/7, 0
Suppose 4*d**2/9 - 8*d + 20 = 0. What is d?
3, 15
Factor -11*j**2/4 - 15*j/4 - 1.
-(j + 1)*(11*j + 4)/4
What is c in 4*c**5 + 228*c**4 + 220*c**3 - 228*c**2 - 224*c = 0?
-56, -1, 0, 1
Factor -3*x**3 - 225*x**2.
-3*x**2*(x + 75)
Find b, given that -4*b**2 + 1556*b - 1552 = 0.
1, 388
Factor -y**4/2 - 39*y**3/2 - 399*y**2/2 - 1225*y/2.
-y*(y + 7)**2*(y + 25)/2
Find s, given that -5*s**2 + 100*s + 105 = 0.
-1, 21
Suppose 5*c**2 - 55*c + 150 = 0. Calculate c.
5, 6
Factor y**3 - 67*y**2.
y**2*(y - 67)
Factor 2*o**4/3 - 32*o**3/3 + 128*o**2/3.
2*o**2*(o - 8)**2/3
Determine b so that 2*b**2/17 - 24*b/17 + 72/17 = 0.
6
Let 15*p**5/2 - 18*p**4 + 3*p**3 + 18*p**2 - 21*p/2 = 0. What is p?
-1, 0, 1, 7/5
What is f in -4*f**3 + 180*f**2 - 972*f + 1404 = 0?
3, 39
Factor 5*a**2 + 45*a + 100.
5*(a + 4)*(a + 5)
Factor -4*t**4 + 848*t**3 - 45784*t**2 + 89040*t - 44100.
-4*(t - 105)**2*(t - 1)**2
Suppose -j**5/4 + 5*j**4/2 - 4*j**3 = 0. What is j?
0, 2, 8
Factor -2*m**2/11 - 64*m/11 + 6.
-2*(m - 1)*(m + 33)/11
Factor 5*v**2 + 300*v - 305.
5*(v - 1)*(v + 61)
Factor m**4/6 - 13*m**3/6 + 10*m**2 - 56*m/3 + 32/3.
(m - 4)**3*(m - 1)/6
Let -3*j**4/8 + 159*j**3/8 + 351*j**2/8 - 1167*j/8 + 165/2 = 0. Calculate j.
-4, 1, 55
Determine n, given that -2*n**4/5 + 3458*n**3/5 - 1489512*n**2/5 - 4513592*n/5 + 5999648/5 = 0.
-4, 1, 866
Suppose -4*r**3 + 12*r - 8 = 0. Calculate r.
-2, 1
Factor -f**4/3 - 627*f**3 - 3754*f**2 - 22508*f/3 - 5000.
-(f + 2)**3*(f + 1875)/3
Factor 5*d**5/4 - 10*d**4 + 105*d**3/4 - 45*d**2/2.
5*d**2*(d - 3)**2*(d - 2)/4
Factor -9*t**4 + 213*t**3 + 80*t**2 - 188*t - 96.
-(t - 24)*(t - 1)*(3*t + 2)**2
Find m, given that -3*m**4 + 156*m**3 - 2166*m**2 + 3300*m + 5625 = 0.
-1, 3, 25
Factor -5*k**4 - 90*k**3 - 325*k**2.
-5*k**2*(k + 5)*(k + 13)
Factor 2772*f**3 - 2172*f**2 + 524*f - 36.
4*(3*f - 1)**2*(77*f - 9)
Suppose -4*g**2 - 141*g - 35 = 0. What is g?
-35, -1/4
Suppose x**2/4 + 5*x/4 - 6 = 0. What is x?
-8, 3
Factor 5*o**4 + 175*o**3 + 360*o**2 - 3700*o + 4480.
5*(o - 2)**2*(o + 7)*(o + 32)
What is f in f**3/3 + 235*f**2/6 + 39*f/2 = 0?
-117, -1/2, 0
Factor -5*l**3 - 1005*l**2 - 67335*l - 1503815.
-5*(l + 67)**3
Find a, given that -4*a**2/7 - 132*a/7 - 360/7 = 0.
-30, -3
Factor 8*z**2/5 + 68*z/5 + 32/5.
4*(z + 8)*(2*z + 1)/5
Solve -3*s**2 + 996*s + 3015 = 0.
-3, 335
Suppose 2*y**5/19 - 30*y**4/19 + 110*y**3/19 - 90*y**2/19 - 112*y/19 + 120/19 = 0. What is y?
-1, 1, 2, 3, 10
Suppose 3*x**4/2 - 63*x**3/2 + 417*x**2/2 - 693*x/2 - 588 = 0. Calculate x.
-1, 7, 8
Factor -h**2/6 + 25*h/6.
-h*(h - 25)/6
Factor 3*v**3 - 51*v**2 - 54*v.
3*v*(v - 18)*(v + 1)
Determine x, given that -3*x**2/8 + 1581*x/4 - 3159/8 = 0.
1, 1053
Find x, given that 3*x**5/2 - 14*x**4 + 79*x**3/2 - 27*x**2 - 16*x + 16 = 0.
-2/3, 1, 4
Determine c, given that 5*c**3 + 10*c**2 - 5*c - 10 = 0.
-2, -1, 1
Solve 2*z**4/11 - 2*z**3 + 84*z**2/11 - 136*z/11 + 80/11 = 0.
2, 5
Factor -b**5/2 - 36*b**4 - 611*b**3 + 1332*b**2 - 1369*b/2.
-b*(b - 1)**2*(b + 37)**2/2
Factor p**2/5 - 6*p/5 - 8.
(p - 10)*(p + 4)/5
Let -28*d**5/5 + 92*d**4 - 2712*d**3/5 + 7472*d**2/5 - 9824*d/5 + 4992/5 = 0. Calculate d.
2, 3, 52/7
Let -2*b**5/21 - 16*b**4/7 - 370*b**3/21 - 1004*b**2/21 - 360*b/7 - 400/21 = 0. What is b?
-10, -2, -1
Find m, given that 5*m**3/2 + 145*m**2/2 - 4135*m + 4060 = 0.
-58, 1, 28
Let -x**2 - 7*x + 8 = 0. Calculate x.
-8, 1
Factor 2*c**3 - 39*c**2/4 - 87*c/2 + 110.
(c - 2)*(c + 4)*(8*c - 55)/4
Determine j, given that 5*j**2 - 5000*j - 5005 = 0.
-1, 1001
Suppose -2*m**2 - 940*m - 110450 = 0. What is m?
-235
Factor -5*v**3/2 + 155*v**2 + 635*v/2 + 160.
-5*(v - 64)*(v + 1)**2/2
Solve -4*i**3/3 + 16*i**2 + 52*i/3 = 0 for i.
-1, 0, 13
Solve 