actor -4*a**4 - 92*a**3 - 648*a**2 - 1360*a - 800.
-4*(a + 1)*(a + 2)*(a + 10)**2
Suppose -20*z**5 + 12*z**4 + 20*z**3 - 12*z**2 = 0. What is z?
-1, 0, 3/5, 1
Factor x**2/4 + x/4.
x*(x + 1)/4
Factor -p**3 + 5*p**2 - 4*p.
-p*(p - 4)*(p - 1)
Factor -2*v**5/7 - 18*v**4/7 - 60*v**3/7 - 88*v**2/7 - 48*v/7.
-2*v*(v + 2)**3*(v + 3)/7
Solve -5*t**2 + 1220*t = 0.
0, 244
Find w such that 26*w**4/19 - 66*w**3/19 + 16*w**2/19 + 24*w/19 = 0.
-6/13, 0, 1, 2
Find g such that 2*g**4/7 - 132*g**3/7 - 270*g**2/7 - 136*g/7 = 0.
-1, 0, 68
Factor 2*d**2/13 - 54*d/13 - 836/13.
2*(d - 38)*(d + 11)/13
Factor o**4/2 + 117*o**3/2 - 180*o**2 + 2*o + 240.
(o - 2)**2*(o + 1)*(o + 120)/2
What is z in -2*z**4/11 - 4*z**3/11 + 2*z**2/11 + 4*z/11 = 0?
-2, -1, 0, 1
Factor 3*k**4 + 3*k**3 - 30*k**2 + 24*k.
3*k*(k - 2)*(k - 1)*(k + 4)
Suppose m**3 + 565*m**2 - 1133*m + 567 = 0. Calculate m.
-567, 1
Factor 2*q**3/7 - 622*q**2/7 - 624*q/7.
2*q*(q - 312)*(q + 1)/7
Suppose -2*y**4/23 + 38*y**3/23 - 242*y**2/23 + 618*y/23 - 540/23 = 0. What is y?
2, 3, 5, 9
Let -4*s**4 + 24*s**3 + 2364*s**2 - 2416*s - 4752 = 0. Calculate s.
-22, -1, 2, 27
Solve a**2 - 58*a + 841 = 0 for a.
29
Factor -8*o**4/11 + 10*o**3/11 - 2*o**2/11.
-2*o**2*(o - 1)*(4*o - 1)/11
What is t in -t**4/11 - 16*t**3/11 - 25*t**2/11 + 42*t/11 = 0?
-14, -3, 0, 1
Factor 999*m**4 + 3000*m**3 + 3006*m**2 + 1008*m + 3.
3*(m + 1)**3*(333*m + 1)
Solve -3*c**2/5 + 444*c/5 - 16428/5 = 0 for c.
74
Factor -5*d**3 - 7*d**2 + 28*d + 12.
-(d - 2)*(d + 3)*(5*d + 2)
Solve 25*f**3 + 6615*f**2 + 583443*f + 85766121/5 = 0.
-441/5
Find q such that -q**2 + 1475*q - 2946 = 0.
2, 1473
What is j in 16*j**4/13 - 1940*j**3/13 + 2402*j**2/13 - 238*j/13 - 240/13 = 0?
-1/4, 1/2, 1, 120
Find w, given that 72*w**3 + 1430*w**2 - 202*w - 40 = 0.
-20, -1/9, 1/4
Determine t, given that -t**2/6 + 65*t/2 + 98/3 = 0.
-1, 196
Factor -5*c**3 - 100*c**2 + 215*c - 110.
-5*(c - 1)**2*(c + 22)
Factor g**3/3 - 2*g**2 + 8*g/3.
g*(g - 4)*(g - 2)/3
Factor 2*n**2/9 + 248*n + 69192.
2*(n + 558)**2/9
Suppose 2*o**4/5 + 2*o**3/5 = 0. What is o?
-1, 0
Factor -3*z**3 + 108*z**2 + 252*z - 912.
-3*(z - 38)*(z - 2)*(z + 4)
Factor -w**2/2 + 181*w/2 + 276.
-(w - 184)*(w + 3)/2
Determine d so that -d**4/4 + 3*d**3/4 + 5*d**2/2 - 6*d = 0.
-3, 0, 2, 4
Factor 2*x**3/5 + 4*x**2/5 - 238*x/5 + 624/5.
2*(x - 8)*(x - 3)*(x + 13)/5
Factor -20*p**4/21 - 86*p**3/21 - 8*p**2/7.
-2*p**2*(p + 4)*(10*p + 3)/21
Let 2*c**5 + 4*c**4 - 312*c**3 - 940*c**2 - 938*c - 312 = 0. What is c?
-12, -1, 13
Find t, given that -3*t**4 - 115*t**3/3 - 82*t**2/3 + 8*t = 0.
-12, -1, 0, 2/9
Suppose -j**3/2 + 21*j**2 + j/2 - 21 = 0. What is j?
-1, 1, 42
Factor -w**3/2 + 7*w**2/2 - 15*w/2 + 9/2.
-(w - 3)**2*(w - 1)/2
What is k in -2*k**2/3 + 112*k/3 - 110/3 = 0?
1, 55
Factor 5*f**2/2 + 45*f/2 + 35.
5*(f + 2)*(f + 7)/2
Factor 3*w**3 + 39*w**2/5 - 78*w/5 + 24/5.
3*(w - 1)*(w + 4)*(5*w - 2)/5
Factor j**4/8 + j**3 + 9*j**2/8 - 9*j/4.
j*(j - 1)*(j + 3)*(j + 6)/8
Factor -3*f**3/2 - 24*f**2 + 1305*f/2 + 675.
-3*(f - 15)*(f + 1)*(f + 30)/2
Find p such that 2*p**5 - 1178*p**4 + 1174*p**3 + 1178*p**2 - 1176*p = 0.
-1, 0, 1, 588
Determine n, given that 5*n**5/3 + 20*n**4 + 280*n**3/3 + 210*n**2 + 225*n + 90 = 0.
-3, -2, -1
Suppose -3*q**2 + 624*q + 627 = 0. What is q?
-1, 209
Find j, given that 2*j**2/15 - 29192*j/15 + 106521608/15 = 0.
7298
Determine h, given that -h**4 + 34*h**3 - 253*h**2 - 612*h - 324 = 0.
-1, 18
Suppose 4*s**5 + 9*s**4 - 2*s**3 - 9*s**2 - 2*s = 0. What is s?
-2, -1, -1/4, 0, 1
Factor 5*r**2/6 + 103*r - 124/3.
(r + 124)*(5*r - 2)/6
Solve -7*p**4/3 + 10*p**3/3 + 8*p**2/3 = 0 for p.
-4/7, 0, 2
Factor -2*d**2/3 - 850*d/9 - 5656/9.
-2*(d + 7)*(3*d + 404)/9
Factor z**2/6 - 57*z + 9747/2.
(z - 171)**2/6
Factor -2*k**2/5 - 392*k/5 - 19208/5.
-2*(k + 98)**2/5
Factor 3*j**5/2 + 6*j**4 - 3*j**3 - 18*j**2 + 27*j/2.
3*j*(j - 1)**2*(j + 3)**2/2
Determine j so that 3*j**3 - 159*j**2 - 1062*j = 0.
-6, 0, 59
Suppose 22*n**3 - 4*n**2 - 88*n + 16 = 0. Calculate n.
-2, 2/11, 2
Factor -2*n**4/5 + 26*n**3/5 - 22*n**2 + 30*n.
-2*n*(n - 5)**2*(n - 3)/5
Find z, given that 35*z**2/4 - 3*z/4 = 0.
0, 3/35
Suppose 2*v**3/3 + 10*v**2/3 + 4*v/3 - 16/3 = 0. Calculate v.
-4, -2, 1
Determine p so that 4*p**4 + 32*p**3 + 80*p**2 + 64*p = 0.
-4, -2, 0
Factor -4*c**2 + 2120*c - 280900.
-4*(c - 265)**2
Factor -5*q**4 - 990*q**3 - 52805*q**2 - 376200*q - 722000.
-5*(q + 4)**2*(q + 95)**2
Suppose 2*g**4/15 + 4*g**3/15 + 2*g**2/15 = 0. Calculate g.
-1, 0
Factor -10*o**3 - 5*o**2 + 160*o + 80.
-5*(o - 4)*(o + 4)*(2*o + 1)
Factor -2*t**4 + 266*t**3 - 8710*t**2 - 8978*t.
-2*t*(t - 67)**2*(t + 1)
Factor j**4/7 - 13*j**3/7 - 106*j**2/7 - 152*j/7.
j*(j - 19)*(j + 2)*(j + 4)/7
Find h, given that 2*h**2/7 - 64*h/7 + 62/7 = 0.
1, 31
Factor -y**5 + 28*y**4 - 269*y**3 + 1022*y**2 - 1176*y.
-y*(y - 12)*(y - 7)**2*(y - 2)
Factor -5*i**2 + 140*i + 1665.
-5*(i - 37)*(i + 9)
Factor m**4 - 27*m**3 + 195*m**2 - 425*m.
m*(m - 17)*(m - 5)**2
Solve 5*i**5 - 25*i**4 + 30*i**3 + 10*i**2 - 35*i + 15 = 0.
-1, 1, 3
What is z in z**2/8 + 905*z/4 - 453 = 0?
-1812, 2
Let 3*a**5/7 + 37*a**4/7 - 128*a**3/7 - 88*a**2/7 + 464*a/7 - 240/7 = 0. What is a?
-15, -2, 2/3, 2
Solve -20*f**5 + 7605*f**4 - 731460*f**3 + 1618790*f**2 - 1073520*f + 178605 = 0.
1/4, 1, 189
Factor 192*z**5 - 1504*z**4 + 2380*z**3 + 2312*z**2.
4*z**2*(3*z + 2)*(4*z - 17)**2
Factor -148*g**3 - 448*g**2 - 308*g - 8.
-4*(g + 1)*(g + 2)*(37*g + 1)
Factor -3*b**5/5 - 54*b**4/5 - 288*b**3/5 - 96*b**2.
-3*b**2*(b + 4)**2*(b + 10)/5
Find t such that -2*t**3/11 + 64*t**2/11 - 602*t/11 + 1764/11 = 0.
7, 18
Factor 4*b**5 + 12*b**4 - 64*b**3 + 48*b**2.
4*b**2*(b - 2)*(b - 1)*(b + 6)
Solve -4*z**2 + 152*z - 420 = 0 for z.
3, 35
Factor 2*y**2/3 - 200*y/3 - 1326.
2*(y - 117)*(y + 17)/3
Factor -44*i**2/3 - 64*i - 64/3.
-4*(i + 4)*(11*i + 4)/3
Let 4*z**2/9 - 356*z/9 + 344/3 = 0. Calculate z.
3, 86
Let 2*d**4 + 76*d**3 + 696*d**2 + 1172*d + 550 = 0. What is d?
-25, -11, -1
Factor 3*m**5 - 33*m**4.
3*m**4*(m - 11)
Solve u**2 + 242*u + 952 = 0.
-238, -4
Factor -7*c**3 - 24*c**2 - 23*c - 6.
-(c + 1)*(c + 2)*(7*c + 3)
Factor 5*h**4/2 + 41*h**3/2 + 36*h**2 + 18*h.
h*(h + 1)*(h + 6)*(5*h + 6)/2
Factor -3*l**2/4 - 9*l/4 - 3/2.
-3*(l + 1)*(l + 2)/4
Let -4*l**2 - 6632*l + 13280 = 0. Calculate l.
-1660, 2
Factor -3*g**2 + 318*g + 1320.
-3*(g - 110)*(g + 4)
Find o, given that o**3 + 6*o**2 + 9*o + 4 = 0.
-4, -1
Factor -13*o**2 + 101*o/2 + 6.
-(o - 4)*(26*o + 3)/2
Suppose 2*v**5 + 16*v**4 + 12*v**3 - 80*v**2 + 50*v = 0. Calculate v.
-5, 0, 1
Factor -f**2/3 + 166*f - 20667.
-(f - 249)**2/3
Factor -2*o**4 - 46*o**3 - 282*o**2 - 154*o + 484.
-2*(o - 1)*(o + 2)*(o + 11)**2
Let -j**4 + 93*j**3 - 855*j**2 + 2075*j = 0. Calculate j.
0, 5, 83
Let -4*o**3/7 - 22*o**2 - 148*o - 480/7 = 0. Calculate o.
-30, -8, -1/2
Factor -20*q**2 - 45*q - 10.
-5*(q + 2)*(4*q + 1)
Factor -j**5 - 10*j**4 - 33*j**3 - 40*j**2 - 16*j.
-j*(j + 1)**2*(j + 4)**2
Solve -a**3 - 2202*a**2 - 2201*a = 0.
-2201, -1, 0
Factor 2*r**4/3 + 8*r**3/3 + 4*r**2 + 8*r/3 + 2/3.
2*(r + 1)**4/3
Determine y, given that -4*y**3 - 72*y**2 + 3456 = 0.
-12, 6
Factor 2*a**2/9 - 1040*a/9 + 135200/9.
2*(a - 260)**2/9
Factor -5*h**2 - 735*h - 730.
-5*(h + 1)*(h + 146)
Factor -2*t**3 + 38*t**2 - 224*t + 384.
-2*(t - 8)**2*(t - 3)
Factor -6*k**5 - 303*k**4 - 5049*k**3 - 26877*k**2 + 14739*k.
-3*k*(k + 17)**3*(2*k - 1)
Find c, given that -12*c**5 - 93*c**4 + 144*c**3 + 66*c**2 - 132*c + 27 = 0.
-9, -1, 1/4, 1
Factor 6*j**2/5 + 22*j + 36/5.
2*(j + 18)*(3*j + 1)/5
Solve 2*w**5/3 - 2*w**4 - 4*w**3 + 16*w**2/3 = 0 for w.
-2, 0, 1, 4
Let 4*k**2 - 33*k + 8 = 0. Calculate k.
1/4, 8
Let 4*t**4 + 96*t**3 + 660*t**2 + 968*t = 0. Calculate t.
-11, -2, 0
Let 2*a**4/3 - 116*a**3/3 + 214*a**2 - 312*a = 0. Calculate a.
0, 3, 52
Find j such that -j**4/2 - 48*j**3 - 1428*j**2 - 9248*j + 117912 = 0.
-34, 6
Solve -4*q**2 + 2720*q - 462400 = 0.
340
Determine v so that 3*v**2 - 48*v - 315 = 0.
-5, 21
Let 5*y**4 - 160*y**3 + 1315*y**2 - 3500*y + 2940 = 0. Calculate y.
2, 7, 21
Let -3*o**2 + 384*o - 381 = 0. What is o?
1, 127
Factor 3*o**2 - 21*o + 36.
3*(o - 4)*(o - 3)
Suppose q**5/5 - 28*q**4/5 + 93*q**3/5 + 86*q**2/5 - 344*q/5 + 192/5 = 0. What is q?
-2, 1, 4, 24
Factor -u**4/4 + 23*u**3/2 - 143*u**2 + 242*u.
-u*(u -