w**2/13 - 64/13 = 0.
-2, 4
Find v such that -4*v**5/3 - 100*v**4/9 - 52*v**3/3 + 260*v**2/9 + 56*v/3 - 160/9 = 0.
-5, -4, -1, 2/3, 1
Factor p**2/3 + 3*p + 20/3.
(p + 4)*(p + 5)/3
Let -28*a**4 - 680*a**3 - 192*a**2 = 0. What is a?
-24, -2/7, 0
Factor -t**2/2 - 11*t/2 + 6.
-(t - 1)*(t + 12)/2
Solve -63*c**3 - 183*c**2 + 270*c - 24 = 0 for c.
-4, 2/21, 1
Factor 3*l**4 - 33*l**2 + 54*l - 24.
3*(l - 2)*(l - 1)**2*(l + 4)
Factor 3*j**2 - 138*j.
3*j*(j - 46)
Solve -h**3/10 + 7*h**2/5 - 28*h/5 + 32/5 = 0.
2, 4, 8
Factor -30*l**3 + 141*l**2 - 87*l + 12.
-3*(l - 4)*(2*l - 1)*(5*l - 1)
Factor 20*i**2 + 368*i + 144.
4*(i + 18)*(5*i + 2)
Let -2*b**5/3 + 16*b**4/3 + 48*b**3 + 320*b**2/3 + 224*b/3 = 0. Calculate b.
-2, 0, 14
What is y in -19208*y**4/3 + 26068*y**3/3 - 4410*y**2 + 2975*y/3 - 250/3 = 0?
2/7, 5/14
Solve 4*o**3 - 204*o**2 = 0.
0, 51
Factor 2*o**3/11 + 40*o**2/11.
2*o**2*(o + 20)/11
Solve -5*i**4 - 5*i**3 + 45*i**2 - 55*i + 20 = 0 for i.
-4, 1
Factor -z**3/3 + 15*z**2 + 64*z + 196/3.
-(z - 49)*(z + 2)**2/3
Determine z so that -6*z**4 + 26*z**3/7 + 52*z**2/7 - 16*z/7 = 0.
-1, 0, 2/7, 4/3
What is r in 2*r**5/23 - 132*r**4/23 + 2298*r**3/23 - 3712*r**2/23 - 6144*r/23 = 0?
-1, 0, 3, 32
Suppose x**5/7 - 15*x**4/7 - 69*x**3/7 + 41*x**2 - 312*x/7 + 108/7 = 0. What is x?
-6, 1, 18
Determine d so that -11*d**4 + 12*d**3 = 0.
0, 12/11
Factor -r**5/3 - 14*r**4/3 - 19*r**3 - 24*r**2.
-r**2*(r + 3)**2*(r + 8)/3
Factor 2*l**4/9 + 20*l**3/9 - 2*l**2/9 - 20*l/9.
2*l*(l - 1)*(l + 1)*(l + 10)/9
Factor k**2 + 25*k/3 - 6.
(k + 9)*(3*k - 2)/3
Find d such that -2*d**2 + 104*d - 294 = 0.
3, 49
Determine v so that -3*v**4/4 - 19*v**3/2 - 159*v**2/4 - 60*v - 25 = 0.
-5, -2, -2/3
Suppose 52*m**5 - 34*m**4 - 256*m**3 + 40*m**2 = 0. What is m?
-2, 0, 2/13, 5/2
Solve 2*a**4/17 - 24*a**3/17 + 70*a**2/17 + 24*a/17 - 72/17 = 0.
-1, 1, 6
Factor -12*f**3 + 15*f**2 - 3*f.
-3*f*(f - 1)*(4*f - 1)
Let -405*c**4 - 1935*c**3 + 2875*c**2 - 565*c + 30 = 0. Calculate c.
-6, 1/9, 1
Solve -c**4/3 - 16*c**3/3 - 64*c**2/3 = 0 for c.
-8, 0
Suppose -3*q**2 - 60*q + 207 = 0. Calculate q.
-23, 3
Factor 2*a**2/5 - 654*a/5.
2*a*(a - 327)/5
Factor 2*v**3/9 + 32*v**2/9 + 154*v/9 + 196/9.
2*(v + 2)*(v + 7)**2/9
Suppose -i**2/5 + 42*i/5 = 0. Calculate i.
0, 42
Factor 2*f**4 - 4*f**3 - 48*f**2.
2*f**2*(f - 6)*(f + 4)
Factor -q**4/4 - 193*q**3/4 + 495*q**2/2.
-q**2*(q - 5)*(q + 198)/4
Factor 6*g**2 + 1604*g + 534.
2*(g + 267)*(3*g + 1)
Let m**4/7 + 152*m**3/7 + 1287*m**2/7 = 0. Calculate m.
-143, -9, 0
Suppose -q**3 + 59*q**2 - 170*q + 112 = 0. Calculate q.
1, 2, 56
Factor 49*f**2/4 - 623*f/2 + 7921/4.
(7*f - 89)**2/4
Find i such that 3*i**2 + 8622*i + 8619 = 0.
-2873, -1
Factor 2*z**2/5 - 14*z/5 + 24/5.
2*(z - 4)*(z - 3)/5
Determine a, given that -2*a**4/7 + 74*a**3/7 + 36*a**2 - 464*a/7 - 640/7 = 0.
-4, -1, 2, 40
Factor -3*h**3 + 219*h**2 - 216*h.
-3*h*(h - 72)*(h - 1)
Solve 3*u**3/2 + 21*u**2 + 90*u + 108 = 0.
-6, -2
What is p in 27*p**2 + 33*p + 6 = 0?
-1, -2/9
Suppose j**2/4 - 17*j/4 + 18 = 0. Calculate j.
8, 9
Suppose 2*j**2/5 - 448*j/5 + 1326/5 = 0. Calculate j.
3, 221
Factor -5*t**2 + 665*t + 2740.
-5*(t - 137)*(t + 4)
What is a in 6*a**4/5 + 236*a**3/5 + 528*a**2/5 + 372*a/5 + 74/5 = 0?
-37, -1, -1/3
What is t in -2*t**2/19 - 4*t/19 = 0?
-2, 0
Determine w so that 3*w**3/2 + 3*w**2/2 - 12*w - 18 = 0.
-2, 3
Factor -5*k**3 - 55*k**2 - 115*k + 175.
-5*(k - 1)*(k + 5)*(k + 7)
Determine n, given that -2*n**5 - 6*n**4 - 6*n**3 - 2*n**2 = 0.
-1, 0
Factor -3*s**3 + 15*s**2 + 3*s - 15.
-3*(s - 5)*(s - 1)*(s + 1)
Solve -2*s**5/3 - 28*s**4/3 - 32*s**3 + 28*s**2/3 + 98*s/3 = 0 for s.
-7, -1, 0, 1
Factor -r**4/2 - 43*r**3/2 + 45*r**2.
-r**2*(r - 2)*(r + 45)/2
Factor 16*m**2/3 + 28*m/3.
4*m*(4*m + 7)/3
Find w, given that -4*w**3 + 144*w**2 - 740*w - 2088 = 0.
-2, 9, 29
Suppose -h**5/2 - 21*h**4/4 - 21*h**3/2 + 41*h**2 + 135*h + 225/4 = 0. Calculate h.
-5, -3, -1/2, 3
Factor -b**3 + 16*b**2 - 15*b.
-b*(b - 15)*(b - 1)
Find b such that -3*b**5/8 - 183*b**4/8 - 1941*b**3/4 - 17265*b**2/4 - 136275*b/8 - 198375/8 = 0.
-23, -5
Factor -2*a**4/3 - 184*a**3/3 - 4412*a**2/3 - 2760*a - 1350.
-2*(a + 1)**2*(a + 45)**2/3
Factor -4*x**2 + 8336*x - 4343056.
-4*(x - 1042)**2
Factor k**2/2 + 4959*k + 24591681/2.
(k + 4959)**2/2
Suppose w**3/4 - 3*w**2/2 + 2*w = 0. Calculate w.
0, 2, 4
Let -4*m**5 + 36*m**4 - 52*m**3 - 180*m**2 + 200*m = 0. What is m?
-2, 0, 1, 5
Factor 2*i**5 - 86*i**4 + 534*i**3 - 1106*i**2 + 944*i - 288.
2*(i - 36)*(i - 4)*(i - 1)**3
Let -o**3/4 - 189*o**2/2 - 35721*o/4 = 0. What is o?
-189, 0
Factor -d**3/3 + 641*d**2/3 - 2552*d/3 + 2548/3.
-(d - 637)*(d - 2)**2/3
Factor -4*a**3 + 16*a**2 + 44*a + 24.
-4*(a - 6)*(a + 1)**2
Solve 5*j**4 - 85*j**3 - 170*j**2 + 1540*j - 1800 = 0.
-5, 2, 18
Factor -3*i**2.
-3*i**2
Solve -27*i**4 + 11844*i**3 - 1290972*i**2 - 1737120*i - 580800 = 0 for i.
-2/3, 220
Let -12*q**4 - 656*q**3 - 9176*q**2 - 5616*q + 2916 = 0. What is q?
-27, -1, 1/3
Factor 2*d**5 + 6*d**4 - 8*d**3.
2*d**3*(d - 1)*(d + 4)
Factor -p**4 + 91*p**3 + 92*p**2.
-p**2*(p - 92)*(p + 1)
Let -3*p**2/2 + 24*p - 117/2 = 0. Calculate p.
3, 13
Suppose -3*b**3/7 - b**2 - 5*b/7 - 1/7 = 0. Calculate b.
-1, -1/3
Suppose -130*k**2 + 63*k + 1 = 0. Calculate k.
-1/65, 1/2
What is s in 2*s**3 - 52*s**2 - 2*s + 52 = 0?
-1, 1, 26
Factor -d**4/5 + 21*d**3/5 + 97*d**2/5 + 15*d.
-d*(d - 25)*(d + 1)*(d + 3)/5
Let -2*x**2/9 + 188*x/9 = 0. What is x?
0, 94
Suppose 4*a**4 - 16*a**3 + 20*a**2 - 8*a = 0. What is a?
0, 1, 2
Factor 2*f**5 - 3*f**4 - 2*f**3.
f**3*(f - 2)*(2*f + 1)
Factor -4*p**3 + 72*p**2 - 384*p + 512.
-4*(p - 8)**2*(p - 2)
Suppose -3*t**4 - 72*t**3 - 249*t**2 - 180*t = 0. Calculate t.
-20, -3, -1, 0
Factor -11*w**2/2 - 305*w/8 - 27/4.
-(4*w + 27)*(11*w + 2)/8
Factor -2*q**3 + 62*q**2 - 374*q - 1734.
-2*(q - 17)**2*(q + 3)
Let 2*p**4/5 + 12*p**3/5 = 0. Calculate p.
-6, 0
Factor -2*c**2/9 - 214*c/3.
-2*c*(c + 321)/9
Solve 108*i**4 - 2232*i**3 + 3351*i**2 + 1305*i + 114 = 0 for i.
-1/6, 2, 19
Let 3*g**2/2 - 65*g/6 + 7/3 = 0. Calculate g.
2/9, 7
Determine t, given that -t**2/2 - 2*t + 6 = 0.
-6, 2
Factor -2*a**2/7 + 416*a/7 - 21632/7.
-2*(a - 104)**2/7
Find c, given that -3*c**3/7 + 141*c**2/7 + 2979*c/7 + 405 = 0.
-15, -1, 63
Factor 2*b**2 - 164*b - 336.
2*(b - 84)*(b + 2)
Factor -3*j**4 - 204*j**3 + 210*j**2 + 204*j - 207.
-3*(j - 1)**2*(j + 1)*(j + 69)
Factor -2*j**4/3 + 56*j**3/3 - 52*j**2 + 152*j/3 - 50/3.
-2*(j - 25)*(j - 1)**3/3
Factor i**4 - 2*i**3 - 8*i**2.
i**2*(i - 4)*(i + 2)
Factor -4*t**3 - 1900*t**2 - 5672*t - 3776.
-4*(t + 1)*(t + 2)*(t + 472)
Factor 2*q**2/3 - 2*q - 20/3.
2*(q - 5)*(q + 2)/3
Find n, given that n**5/2 - 35*n**4/4 + 187*n**3/4 - 403*n**2/4 + 339*n/4 - 45/2 = 0.
1/2, 1, 3, 10
Let -2*g**5/17 - 4*g**4/17 + 6*g**3/17 = 0. What is g?
-3, 0, 1
Solve -z**4 - 46*z**3 + 163*z**2 + 796*z + 588 = 0.
-49, -2, -1, 6
Suppose 2*o**4/5 - 4*o**3 - 22*o**2/5 = 0. Calculate o.
-1, 0, 11
Factor 2*z**3 - 30*z**2 - 68*z.
2*z*(z - 17)*(z + 2)
Let -s**3/6 - 10*s**2/3 - 67*s/6 - 8 = 0. What is s?
-16, -3, -1
Factor -j**2/8 - 69*j/8 + 27.
-(j - 3)*(j + 72)/8
Find u such that 2*u**3/7 - 10*u**2 + 646*u/7 - 578/7 = 0.
1, 17
Suppose 4*l**5 - 128*l**4 + 644*l**3 + 7976*l**2 - 26640*l + 18144 = 0. Calculate l.
-7, 1, 2, 18
Solve 3*g**4 - 390*g**3 + 12675*g**2 = 0 for g.
0, 65
Find n such that 5*n**5/4 - 65*n**4/4 + 305*n**3/4 - 615*n**2/4 + 225*n/2 = 0.
0, 2, 3, 5
Solve -2*j**5 + 20*j**4 - 74*j**3 + 128*j**2 - 104*j + 32 = 0.
1, 2, 4
Factor -b**4 - 42*b**3 - 477*b**2 - 680*b + 1200.
-(b - 1)*(b + 3)*(b + 20)**2
Factor 5*f**2 - 810*f - 4175.
5*(f - 167)*(f + 5)
Find t such that -20*t**4 - 512*t**3 - 4040*t**2 - 9504*t - 4356 = 0.
-11, -3, -3/5
Suppose l**4/4 + 21*l**3/2 + 10*l**2 - 21*l/2 - 41/4 = 0. Calculate l.
-41, -1, 1
Find t such that 4*t**3 - 220*t**2 - 232*t + 448 = 0.
-2, 1, 56
Suppose 5*b**2 - 130*b + 525 = 0. What is b?
5, 21
Let -2*u**3/3 + 22*u**2/3 - 16*u/3 - 40/3 = 0. Calculate u.
-1, 2, 10
Factor 5*x**3 + 435*x**2 - 5*x - 435.
5*(x - 1)*(x + 1)*(x + 87)
Find c, given that -5*c**5 + 20*c**4 - 30*c**3 + 20*c**2 - 5*c = 0.
0, 1
Find j, given that j**2/6 + 17*j/3 + 31/2 = 0.
-31, -3
Factor -44*n**3 + 91*n**2 + 346*n - 24.
-(n - 4)*(n + 2)*(44*n - 3)
Factor -h**3 - 32*h**2 - 149*h + 182.
-(h - 1)*(h + 7)*(h