 - 7)*(3*j - 1)*(3*j + 1)/5
Suppose -68*z**5 - 220*z**4 - 184*z**3 - 32*z**2 = 0. What is z?
-2, -1, -4/17, 0
Let 5*b**4 + 123*b**3 + 185*b**2 + 21*b - 46 = 0. What is b?
-23, -1, 2/5
Suppose z**4 - 12*z**3 + 37*z**2 - 6*z - 56 = 0. Calculate z.
-1, 2, 4, 7
Suppose -4*r**4 + 188*r**3 - 704*r**2 + 688*r = 0. Calculate r.
0, 2, 43
Factor 4*t**5 + 28*t**4 - 44*t**3 - 76*t**2 + 152*t - 64.
4*(t - 1)**3*(t + 2)*(t + 8)
Determine g, given that -2*g**2 - 90*g + 188 = 0.
-47, 2
Solve -u**2/9 - 127*u/9 - 824/3 = 0.
-103, -24
Factor 2*a**3/11 - 6*a**2/11 - 18*a/11 - 10/11.
2*(a - 5)*(a + 1)**2/11
Determine y so that -4*y**2 - 2536*y = 0.
-634, 0
Factor -2*c**3/13 - 28*c**2/13 - 48*c/13.
-2*c*(c + 2)*(c + 12)/13
Factor -9*i**4 + 42*i**3 - 51*i**2 + 18*i.
-3*i*(i - 3)*(i - 1)*(3*i - 2)
Factor 2*w**3 + 24*w**2 + 58*w + 36.
2*(w + 1)*(w + 2)*(w + 9)
Factor 5*t**2 - 295*t + 2250.
5*(t - 50)*(t - 9)
Let -14*k**4/11 - 270*k**3/11 - 328*k**2/11 - 72*k/11 = 0. Calculate k.
-18, -1, -2/7, 0
Find h such that 4*h**4 + 4860*h**3 + 1473784*h**2 - 1488384*h - 2957312 = 0.
-608, -1, 2
What is r in -3*r**4 + 96*r**3 + 99*r**2 = 0?
-1, 0, 33
Factor 3*f**2 + 3081*f + 3078.
3*(f + 1)*(f + 1026)
Determine x, given that -108*x**4 - 1692*x**3 - 2379*x**2 + 33276*x - 41772 = 0.
-59/6, 2
Factor p**4/4 + 23*p**3/2 + 769*p**2/4 + 1380*p + 3600.
(p + 8)**2*(p + 15)**2/4
Factor 2*d**5/3 - 8*d**3/3.
2*d**3*(d - 2)*(d + 2)/3
Solve -3*l**2 - 231*l + 234 = 0.
-78, 1
Factor z**3/4 + 143*z**2/4 - 145*z/2.
z*(z - 2)*(z + 145)/4
Determine j, given that -1221*j**2/5 + 244*j/5 - 4/5 = 0.
2/111, 2/11
Determine d so that 5*d**5/2 + d**4 - 5*d**3 - 2*d**2 + 5*d/2 + 1 = 0.
-1, -2/5, 1
Solve -4*w**2 + 100*w + 1976 = 0.
-13, 38
Factor -k**2/5 + 216*k/5 - 43.
-(k - 215)*(k - 1)/5
Find k such that 3*k**5 - 228*k**4 + 1482*k**3 - 2292*k**2 + 1035*k = 0.
0, 1, 5, 69
Suppose -3*i**4/7 + 87*i**3/7 - 585*i**2/7 + 921*i/7 - 60 = 0. Calculate i.
1, 7, 20
Determine o so that -5*o**3/3 - 760*o**2/3 + 1540*o/3 = 0.
-154, 0, 2
Determine t so that t**3/4 + 37*t**2/4 - 25*t/4 - 8125/4 = 0.
-25, 13
Let -2*w**3/13 + 420*w**2/13 - 22050*w/13 = 0. Calculate w.
0, 105
Factor -2*n**2/9 - 2*n/9.
-2*n*(n + 1)/9
Find t, given that 4*t**2 - 2960*t + 8844 = 0.
3, 737
Let 3*b**4 - 312*b**3 - 3*b**2 + 312*b = 0. Calculate b.
-1, 0, 1, 104
Factor 2*r**2/7 + 142*r/7 - 292/7.
2*(r - 2)*(r + 73)/7
Factor 20*m**3 - 772*m**2 + 7676*m - 4332.
4*(m - 19)**2*(5*m - 3)
Factor -35*g**4/4 + 10*g**3 - 5*g**2/4.
-5*g**2*(g - 1)*(7*g - 1)/4
Factor -a**4 - 8*a**3 + 14*a**2 + 48*a + 27.
-(a - 3)*(a + 1)**2*(a + 9)
Find c such that -2*c**2/13 - 32*c/13 = 0.
-16, 0
Factor -5*m**3 + 65*m**2 + 70*m.
-5*m*(m - 14)*(m + 1)
Factor -h**4/5 - 12*h**3/5 + 54*h**2/5 + 108*h/5 - 81.
-(h - 3)**2*(h + 3)*(h + 15)/5
Factor -3*b**4 + 6*b**3 + 105*b**2 - 216*b + 108.
-3*(b - 6)*(b - 1)**2*(b + 6)
Find o, given that o**4/8 - 7*o**3/8 + 2*o**2 - 3*o/2 = 0.
0, 2, 3
Let -t**4/4 + 3*t**3/4 + 11*t**2/4 - 3*t/4 - 5/2 = 0. Calculate t.
-2, -1, 1, 5
Factor -9*w**3/4 + 2949*w**2 + 3933*w/4.
-3*w*(w - 1311)*(3*w + 1)/4
Determine m so that 2*m**4 - 88*m**3/3 + 350*m**2/3 - 196*m/3 = 0.
0, 2/3, 7
Factor n**4/4 + 5*n**3/2 + 7*n**2 + 6*n.
n*(n + 2)**2*(n + 6)/4
Determine a so that -3*a**4 + 249*a**3 + 765*a**2 + 771*a + 258 = 0.
-1, 86
Factor 2*r**2/9 + 176*r/3 + 3872.
2*(r + 132)**2/9
Factor 3*k**3/4 + 45*k**2/2 - 399*k/4 + 153/2.
3*(k - 3)*(k - 1)*(k + 34)/4
Determine a so that 3*a**4 + 24*a**3 + 45*a**2 - 24*a - 48 = 0.
-4, -1, 1
Find h such that 6*h**4/11 + 42*h**3/11 + 54*h**2/11 - 42*h/11 - 60/11 = 0.
-5, -2, -1, 1
Factor -r**4/4 + r**3/4 + 7*r**2/4 - 13*r/4 + 3/2.
-(r - 2)*(r - 1)**2*(r + 3)/4
Factor -5*h**2/3 - 1900*h/3 - 180500/3.
-5*(h + 190)**2/3
Let x**2/3 - 566*x/3 + 565/3 = 0. Calculate x.
1, 565
Solve q**4/5 + 179*q**3/5 + 8274*q**2/5 + 23584*q/5 + 15488/5 = 0 for q.
-88, -2, -1
Let -4*p**2 + 6840*p - 2924100 = 0. Calculate p.
855
Determine p so that -2*p**5 + 124*p**4 - 1922*p**3 = 0.
0, 31
Solve 4*z**4/3 - 16*z**3/3 - 89*z**2 + 285*z - 216 = 0 for z.
-8, 3/2, 9
Find g such that g**5/3 + 91*g**4/3 + 89*g**3/3 - 91*g**2/3 - 30*g = 0.
-90, -1, 0, 1
Determine t so that -3*t**4/4 - 171*t**3/4 + 363*t**2/4 + 531*t/4 = 0.
-59, -1, 0, 3
Factor 4*a**3 - 216*a**2 - 220*a.
4*a*(a - 55)*(a + 1)
Solve -y**2 - 394*y + 1191 = 0.
-397, 3
Factor 4*b**2 + 180*b + 176.
4*(b + 1)*(b + 44)
Determine n, given that -12*n**3 - 477*n**2 + 8388*n - 2067 = 0.
-53, 1/4, 13
Determine w so that -5*w**4 - 4365*w**3 - 954830*w**2 - 941760*w + 1900960 = 0.
-436, -2, 1
Let 16*m**5 - 308*m**4 + 362*m**3 - 34*m**2 - 36*m = 0. What is m?
-1/4, 0, 1/2, 1, 18
Find j, given that -5*j**4/3 + 55*j**3/3 - 145*j**2/3 + 5*j/3 + 70 = 0.
-1, 2, 3, 7
Factor -18*t**5 - 105*t**4 + 18*t**3.
-3*t**3*(t + 6)*(6*t - 1)
Solve -4*q**5/3 - 76*q**4 - 3112*q**3/3 + 1512*q**2 + 17516*q/3 + 3364 = 0.
-29, -1, 3
Factor f**5 + 105*f**4 - 322*f**3 + 216*f**2.
f**2*(f - 2)*(f - 1)*(f + 108)
Let -2*t**4 - 18*t**3 - 30*t**2 - 14*t = 0. What is t?
-7, -1, 0
Factor 4*r**4 - 120*r**3 - 128*r**2 + 120*r + 124.
4*(r - 31)*(r - 1)*(r + 1)**2
Factor 3*q**2/2 + 135*q + 6075/2.
3*(q + 45)**2/2
Suppose 5*x**4 - 150*x**3 - 180*x**2 + 790*x - 465 = 0. What is x?
-3, 1, 31
Factor 4*z**3 - 52*z**2 + 92*z - 44.
4*(z - 11)*(z - 1)**2
Solve -4*q**3/3 - 76*q**2 + 156*q - 236/3 = 0.
-59, 1
Factor 8*n**3 + 92*n**2 + 320*n + 300.
4*(n + 5)**2*(2*n + 3)
Factor 5*x**3/4 + 5*x**2 - 35*x + 40.
5*(x - 2)**2*(x + 8)/4
Suppose 3*j**3 + 105*j**2 + 756*j + 1404 = 0. What is j?
-26, -6, -3
Find f such that -3*f**5/2 - 363*f**4/2 + 369*f**3 = 0.
-123, 0, 2
Factor 2*i**2/5 - 2612*i/5 + 852818/5.
2*(i - 653)**2/5
Solve b**5/4 + 3*b**4/2 + 2*b**3 = 0.
-4, -2, 0
Factor 819*l**2 - 816*l - 3.
3*(l - 1)*(273*l + 1)
Factor 3*t**3 - 3*t**2 - 24*t + 36.
3*(t - 2)**2*(t + 3)
Suppose 45*f**3 + 545*f**2 - 1965*f - 225 = 0. Calculate f.
-15, -1/9, 3
Solve -4*l**3 - 668*l**2 + 16*l + 2672 = 0 for l.
-167, -2, 2
Factor -9*y**2 + 2307*y/2 - 192.
-3*(y - 128)*(6*y - 1)/2
Factor 4*a**4 + 380*a**3 + 372*a**2 - 380*a - 376.
4*(a - 1)*(a + 1)**2*(a + 94)
What is s in -2*s**3/7 - 142*s**2/7 - 114*s - 1170/7 = 0?
-65, -3
Factor 723*f**2/5 - 729*f/5 + 6/5.
3*(f - 1)*(241*f - 2)/5
Factor 3*y**4 - 228*y**3 + 5616*y**2 - 40560*y - 105456.
3*(y - 26)**3*(y + 2)
Factor 32*u**4/17 + 112*u**3/17 + 114*u**2/17 + 36*u/17.
2*u*(u + 2)*(4*u + 3)**2/17
Factor g**4/4 + 65*g**3/4 - 67*g**2/4 - 65*g/4 + 33/2.
(g - 1)**2*(g + 1)*(g + 66)/4
Find y such that -y**3/3 - 28*y**2 - 108*y - 320/3 = 0.
-80, -2
Solve -2*w**2 - 190*w + 192 = 0 for w.
-96, 1
Factor 15*c**3/4 - 27*c**2/2 - 18*c + 48.
3*(c - 4)*(c + 2)*(5*c - 8)/4
Let -3*s**4 - 18*s**3 + 3*s**2 + 18*s = 0. Calculate s.
-6, -1, 0, 1
Find d, given that -d**4 - 5*d**3 + 14*d**2 = 0.
-7, 0, 2
Let 2*p**2 - 320*p + 632 = 0. What is p?
2, 158
Factor -d**2/3 + 22*d/3 + 23/3.
-(d - 23)*(d + 1)/3
Factor 125*b**5 - 10300*b**4 + 23790*b**3 + 16756*b**2 + 3517*b + 240.
(b - 80)*(b - 3)*(5*b + 1)**3
Factor 4*p**2 + 3092*p.
4*p*(p + 773)
Solve z**3/5 - 4*z**2/5 - 44*z/5 + 96/5 = 0 for z.
-6, 2, 8
Suppose -t**5/3 + 5*t**4 + 38*t**3/3 - 22*t**2 - 37*t/3 + 17 = 0. What is t?
-3, -1, 1, 17
Solve -3*y**5 - 3*y**4 + 3*y**3 + 3*y**2 = 0 for y.
-1, 0, 1
Determine n so that -n**2/9 + 232*n/9 - 452/3 = 0.
6, 226
Find x such that 2*x**4 - 28*x**3 + 78*x**2 + 28*x - 80 = 0.
-1, 1, 4, 10
What is q in 2*q**4/7 + 36*q**3/7 + 176*q**2/7 + 36*q + 110/7 = 0?
-11, -5, -1
Let -3*c**2/5 + 3*c/5 + 66 = 0. What is c?
-10, 11
Determine l so that 2*l**2/7 - 128*l/7 + 2048/7 = 0.
32
Determine x so that -3*x**4 - 30*x**3 - 72*x**2 = 0.
-6, -4, 0
Find j, given that -j**3 - 2*j**2 + 8*j = 0.
-4, 0, 2
Factor -u**3/3 + 20*u**2/3 - 77*u/3 - 242/3.
-(u - 11)**2*(u + 2)/3
Factor -3*h**3/7 + 270*h**2/7 - 531*h/7 + 264/7.
-3*(h - 88)*(h - 1)**2/7
Factor -20*s**3 + 435*s**2 - 2130*s - 560.
-5*(s - 14)*(s - 8)*(4*s + 1)
Factor q**5/3 - 2*q**4 + 4*q**3 - 10*q**2/3 + q.
q*(q - 3)*(q - 1)**3/3
Let -g**4/3 - 28*g**3/3 - 166*g**2/3 + 140*g - 75 = 0. What is g?
-15, 1
Factor -20*i**2 + 472*i + 192.
-4*(i - 24)*(5*i + 2)
Factor -4*v**5/5 + 24*v**4/5 - 52*v**3/5 + 48*v**2/5 - 16*v/5.
-4*v*(v - 2)**2*(v - 1)**2/5
Find p, given that -4*p**5 - 88*p**4 + 96*p**3 + 88*p**2 - 92*p = 0.
-23, -1, 0, 1
