*b**4/11 - 124*b**3/11 - 42*b**2/11 = 0?
-1/3, 0, 21
Factor 5*p**3/4 - 15*p**2/2 - 5*p/4 + 75/2.
5*(p - 5)*(p - 3)*(p + 2)/4
Factor -3*u**2 + 3297*u + 3300.
-3*(u - 1100)*(u + 1)
Suppose -3*q**4/5 + 9*q**3 - 21*q**2 - 9*q + 108/5 = 0. What is q?
-1, 1, 3, 12
Let 52*m**5/3 + 31*m**4/3 - 41*m**3 + 44*m**2/3 - 4*m/3 = 0. What is m?
-2, 0, 2/13, 1/4, 1
Find l such that 4*l**4 + 12*l**3 = 0.
-3, 0
Let 2*y**2/5 + 103*y/10 - 13/5 = 0. Calculate y.
-26, 1/4
Factor -4*r**4 + 3732*r**3 + 11220*r**2 + 11228*r + 3744.
-4*(r - 936)*(r + 1)**3
Suppose -2*w**2/15 - 178*w/3 + 892/15 = 0. What is w?
-446, 1
Factor -2*f**4 - 46*f**3 - 194*f**2 - 258*f - 108.
-2*(f + 1)**2*(f + 3)*(f + 18)
Determine v so that 3*v**4/4 - 135*v**3 + 8352*v**2 - 191748*v + 878004 = 0.
6, 58
Determine l so that 2*l**5/3 + 8*l**4/3 + 10*l**3/3 + 4*l**2/3 = 0.
-2, -1, 0
Factor 4*l**4 + 36*l**3 - 208*l**2.
4*l**2*(l - 4)*(l + 13)
Determine s, given that s**3/2 - 3*s**2/2 - s/2 + 3/2 = 0.
-1, 1, 3
Factor x**4 - 11*x**3 - 46*x**2 + 56*x.
x*(x - 14)*(x - 1)*(x + 4)
Suppose -4*k**4 + 12*k**3 - 4*k**2 - 12*k + 8 = 0. What is k?
-1, 1, 2
Let -2*v**5 - 4*v**4/3 + 22*v**3/3 + 20*v**2/3 = 0. What is v?
-5/3, -1, 0, 2
Factor -5*a**2 + 530*a - 14045.
-5*(a - 53)**2
Find s such that 980*s**4 - 455*s**3 - 435*s**2 - 85*s - 5 = 0.
-1/4, -1/7, 1
Factor 2*z**4/13 - 6*z**3 + 1080*z**2/13 - 6048*z/13 + 10368/13.
2*(z - 12)**3*(z - 3)/13
Factor 20*l**5 + 88*l**4 + 144*l**3 + 104*l**2 + 28*l.
4*l*(l + 1)**3*(5*l + 7)
Factor 4*j**4 - 744*j**3 - 4*j**2 + 744*j.
4*j*(j - 186)*(j - 1)*(j + 1)
Factor -3*c**3 - 321*c**2 - 8085*c + 27225.
-3*(c - 3)*(c + 55)**2
Factor -10*v**2 - 3115*v - 1555.
-5*(v + 311)*(2*v + 1)
Factor -2*n**3/13 + 16*n**2/13 + 2*n/13 - 16/13.
-2*(n - 8)*(n - 1)*(n + 1)/13
Determine y, given that -3*y**4/8 + 15*y**3/4 + 33*y**2/8 = 0.
-1, 0, 11
Determine h, given that -h**5 - 54*h**4 - 156*h**3 - 154*h**2 - 51*h = 0.
-51, -1, 0
Factor l**3 - 42*l**2 + 441*l.
l*(l - 21)**2
Factor c**5/5 - 7*c**4/5 + 13*c**3/5 + 3*c**2/5 - 18*c/5.
c*(c - 3)**2*(c - 2)*(c + 1)/5
Solve 3*g**3 - 108*g**2 + 555*g - 450 = 0.
1, 5, 30
Factor -3*o**5 + 18*o**3 + 24*o**2 + 9*o.
-3*o*(o - 3)*(o + 1)**3
Factor 4*f**2 - 652*f/7 + 184/7.
4*(f - 23)*(7*f - 2)/7
Let -2*u**3/15 + 298*u**2/3 + 2986*u/15 + 498/5 = 0. Calculate u.
-1, 747
Find l such that -l**2/4 + 49*l/4 - 12 = 0.
1, 48
Factor -5*g**2/4 + 28*g - 11.
-(g - 22)*(5*g - 2)/4
Let -5*m**5 + 15*m**4 - 20*m**2 = 0. What is m?
-1, 0, 2
Factor 4*p**5 + 36*p**4 + 120*p**3 + 184*p**2 + 132*p + 36.
4*(p + 1)**3*(p + 3)**2
Factor -12*b**4 - 105*b**3/4 - 33*b**2/2 - 9*b/4.
-3*b*(b + 1)**2*(16*b + 3)/4
Suppose 2*y**4/13 - 116*y**3/13 - 1152*y**2/13 - 3564*y/13 - 3618/13 = 0. Calculate y.
-3, 67
Factor -15*w**2 + 965*w + 650.
-5*(w - 65)*(3*w + 2)
Find o such that o**2/9 + 44*o/9 = 0.
-44, 0
Solve 2*z**2/11 + 52*z/11 + 30 = 0 for z.
-15, -11
Factor -3*d**2/7 - 447*d/7 - 444/7.
-3*(d + 1)*(d + 148)/7
Factor 5*w**4/4 - 11*w**3/4 + w**2/2.
w**2*(w - 2)*(5*w - 1)/4
Factor g**3 - 40*g**2 + 148*g - 144.
(g - 36)*(g - 2)**2
Let -4*y**4 - 12*y**3 + 208*y**2 + 336*y - 2880 = 0. Calculate y.
-6, 4, 5
Suppose 2*q**3/15 + 32*q**2/15 + 58*q/15 + 28/15 = 0. Calculate q.
-14, -1
Factor -5*b**4 - 17*b**3 - 21*b**2 - 11*b - 2.
-(b + 1)**3*(5*b + 2)
Suppose 4*o**5 - 12*o**4 - 20*o**3 + 12*o**2 + 16*o = 0. Calculate o.
-1, 0, 1, 4
Let -4*c**2 + 1284*c + 1288 = 0. Calculate c.
-1, 322
Solve 3*b**5/2 - 7*b**4/2 - 3*b**3 + 6*b**2 + 4*b = 0 for b.
-1, -2/3, 0, 2
Solve 3*s**4 - 15*s**3 - 63*s**2 - 69*s - 24 = 0.
-1, 8
Factor 3*t**4 - 312*t**3 + 8418*t**2 - 15912*t + 7803.
3*(t - 51)**2*(t - 1)**2
Factor -g**4/5 - 18*g**3/5 + g**2/5 + 18*g/5.
-g*(g - 1)*(g + 1)*(g + 18)/5
Factor -b**3/8 + 735*b**2/4 + 8847*b/8 + 3321/2.
-(b - 1476)*(b + 3)**2/8
Solve 32*c**5 + 16*c**4 - 222*c**3 + 80*c**2 + 82*c + 12 = 0 for c.
-3, -1/4, 1, 2
Solve 3*y**5 + 21*y**4 - 9*y**3 - 57*y**2 + 42*y = 0 for y.
-7, -2, 0, 1
Solve j**5/7 + 16*j**4/7 + 52*j**3/7 + 48*j**2/7 = 0 for j.
-12, -2, 0
Suppose -2*s**5/9 - 1258*s**4/9 + 2956*s**3/3 - 22856*s**2/9 + 25424*s/9 - 3392/3 = 0. What is s?
-636, 1, 2
Suppose a**3 + 45*a**2 + 44*a = 0. Calculate a.
-44, -1, 0
Factor -l**2/5 - 27*l/5 - 92/5.
-(l + 4)*(l + 23)/5
Determine v, given that -4*v**3 + 20*v**2 - 12*v - 36 = 0.
-1, 3
Determine d so that d**5 - 130*d**4 + 6760*d**3 - 175760*d**2 + 2284880*d - 11881376 = 0.
26
Solve -5*c**4/2 + 35*c**3/2 + 10*c**2 - 70*c = 0.
-2, 0, 2, 7
Suppose 315*p**5/2 - 670*p**4 + 1855*p**3/2 - 455*p**2 + 40*p = 0. What is p?
0, 1/9, 1, 8/7, 2
Factor -5*t**2 - 125*t + 750.
-5*(t - 5)*(t + 30)
Factor -2*s**2 - 10*s - 8.
-2*(s + 1)*(s + 4)
Solve 4*r**3/5 - 56*r**2/5 + 48*r - 288/5 = 0 for r.
2, 6
Factor -k**5/6 + 11*k**4/2 - 53*k**3 + 383*k**2/3 - 235*k/2 + 75/2.
-(k - 15)**2*(k - 1)**3/6
Factor 3*d**4 - 27*d**3 + 51*d**2 + 99*d - 270.
3*(d - 5)*(d - 3)**2*(d + 2)
Factor -4*h**4 + 512*h**3 - 17372*h**2 + 62992*h - 46128.
-4*(h - 62)**2*(h - 3)*(h - 1)
Suppose h**4 - 5*h**3 + 4*h**2 = 0. Calculate h.
0, 1, 4
Solve -4*x**5 - 1404*x**4 - 122492*x**3 + 125308*x**2 + 122496*x - 123904 = 0.
-176, -1, 1
Let -12*s**4/5 - 14*s**3/5 + 44*s**2/5 + 56*s/5 + 16/5 = 0. Calculate s.
-2, -2/3, -1/2, 2
Factor -r**3/2 - 5*r**2/2 - 3*r.
-r*(r + 2)*(r + 3)/2
Factor 2*n**2/11 + 772*n/11.
2*n*(n + 386)/11
Suppose -3*h**2 + 96*h + 204 = 0. What is h?
-2, 34
What is n in -2*n**4/13 + 38*n**3/13 + 48*n**2/13 - 152*n/13 - 160/13 = 0?
-2, -1, 2, 20
Solve h**2/3 + 14542*h/3 + 52867441/3 = 0 for h.
-7271
Factor -2*b**4 + 84*b**3 - 240*b**2 + 236*b - 78.
-2*(b - 39)*(b - 1)**3
Let -4*u**3 + 36*u**2 - 60*u - 100 = 0. What is u?
-1, 5
Determine c so that c**5/4 - 211*c**4/4 + 619*c**3/4 + 1043*c**2/4 - 155*c - 208 = 0.
-1, 1, 4, 208
Let 5*j**4 - 5*j**3 - 15*j**2 + 25*j - 10 = 0. What is j?
-2, 1
Suppose -i**2/2 + 3895*i - 15171025/2 = 0. What is i?
3895
Factor 3*m**3 - 12360*m**2 + 12730800*m.
3*m*(m - 2060)**2
Factor 2809*i**2/4 - 530*i + 100.
(53*i - 20)**2/4
Factor 2*o**2/13 + 8*o.
2*o*(o + 52)/13
Factor -r**2 - 214*r - 11449.
-(r + 107)**2
Let -13*d**3/2 - 301*d**2/2 - 23*d = 0. What is d?
-23, -2/13, 0
Let 60*m**3 + 412*m**2 - 536*m + 64 = 0. Calculate m.
-8, 2/15, 1
Determine m so that -9*m**3/5 + 51*m**2/5 - 27*m/5 - 3 = 0.
-1/3, 1, 5
Factor 27*h**2/2 - 75*h + 75/2.
3*(h - 5)*(9*h - 5)/2
Find v such that v**5/7 - 6*v**4/7 - 2*v**3 + 36*v**2/7 + 85*v/7 + 6 = 0.
-2, -1, 3, 7
Factor 4*c**2 - 232*c - 236.
4*(c - 59)*(c + 1)
Suppose -27*y**4 + 96*y**3 + 237*y**2 - 186*y - 120 = 0. Calculate y.
-2, -4/9, 1, 5
Let -3*h**4 - 84*h**3 - 738*h**2 - 1716*h + 2541 = 0. What is h?
-11, -7, 1
Factor -3*i**2/5 - 3564*i/5 - 1058508/5.
-3*(i + 594)**2/5
Find p, given that -2*p**3/19 - 842*p**2/19 - 4642*p + 89042/19 = 0.
-211, 1
Factor -5*t**3 - 35*t**2 - 60*t.
-5*t*(t + 3)*(t + 4)
Suppose 2*b**5/3 - 16*b**4/3 + 2*b**3/3 + 28*b**2 = 0. What is b?
-2, 0, 3, 7
Factor 2*q**2/9 + 82*q/9 - 1144/9.
2*(q - 11)*(q + 52)/9
Determine h, given that -4*h**3/5 + 816*h**2/5 - 41616*h/5 = 0.
0, 102
Factor -2*h**3/3 - 76*h**2 - 2166*h.
-2*h*(h + 57)**2/3
Suppose -2*p**4/5 - 42*p**3/5 + 38*p**2 - 246*p/5 + 20 = 0. Calculate p.
-25, 1, 2
Suppose -88*t**4/3 - 314*t**3/3 - 68*t**2 + 136*t/3 - 16/3 = 0. Calculate t.
-2, 2/11, 1/4
Factor 3*o**3/8 + 3*o**2/8 - 27*o/8 - 27/8.
3*(o - 3)*(o + 1)*(o + 3)/8
Suppose -5*q**5/4 + 385*q**4/4 - 375*q**3/4 - 385*q**2/4 + 95*q = 0. Calculate q.
-1, 0, 1, 76
Factor -3*d**2/2 - 45*d/2 - 81.
-3*(d + 6)*(d + 9)/2
Factor 495*s**3 - 965*s**2 + 445*s + 25.
5*(s - 1)**2*(99*s + 5)
Factor 14*u**3/3 - 178*u**2/9 + 166*u/9 - 10/3.
2*(u - 3)*(u - 1)*(21*u - 5)/9
What is f in 3*f**3 + 4*f**2 - 13*f + 6 = 0?
-3, 2/3, 1
Let 2037*b**4 + 624*b**3 - 2025*b**2 - 624*b - 12 = 0. Calculate b.
-1, -2/7, -2/97, 1
Find r such that 2*r**5 - 227*r**4 - 1058*r**3 - 472*r**2 = 0.
-4, -1/2, 0, 118
What is y in 4*y**4 + 710*y**3 + 350*y**2 - 710*y - 354 = 0?
-177, -1, -1/2, 1
Factor -5*l**2 + 4420*l + 8860.
-5*(l - 886)*(l + 2)
Factor 2*v**5 + 12*v**4 + 10*v**3 - 24*v**2.
2*v**2*(v - 1)*(v + 3)*(v + 4)
Solve -2*h**3/3 + 346*h**2 - 44720*h - 135200/3 = 0 for h.
-1, 260
Factor s**3/5 + 203*s**2/5 - 833*s/5 - 207.
(s - 5)*(s + 1)*(s + 207)/5
Suppose -2*u**2/5 + 8468*u/5 - 8466/5 = 0. What is u?
1, 4233
Solve