*u**2 - 10846*u + 3100.
-2*(u + 775)*(7*u - 2)
Solve -2*o**3/3 - 2*o**2/3 + 624*o + 7560 = 0 for o.
-18, 35
What is u in 2*u**5 + 162*u**4 + 3918*u**3 + 25502*u**2 + 39888*u + 18144 = 0?
-36, -7, -1
Factor 3*j**2/7 - 30*j/7 - 72/7.
3*(j - 12)*(j + 2)/7
What is g in -3*g**4/4 + 15*g**3/4 - 27*g**2/4 + 21*g/4 - 3/2 = 0?
1, 2
Factor -3*u**2 + 12*u.
-3*u*(u - 4)
Let 4*g**2 - 4424*g + 4420 = 0. Calculate g.
1, 1105
Factor n**2 + 5*n - 644.
(n - 23)*(n + 28)
Let 2*p**3/9 - 2*p**2/9 - 8*p/9 + 8/9 = 0. Calculate p.
-2, 1, 2
Determine l, given that 5*l**2 - 110*l + 425 = 0.
5, 17
Factor -4*v**5 - 20*v**4 - 24*v**3 + 16*v**2 + 32*v.
-4*v*(v - 1)*(v + 2)**3
Factor -q**4 + 3*q**3 + q**2 - 3*q.
-q*(q - 3)*(q - 1)*(q + 1)
Factor -y**2/2 - 50*y - 1250.
-(y + 50)**2/2
Factor 3*r**3 + 42*r**2 + 147*r.
3*r*(r + 7)**2
Factor -o**5/3 - 38*o**4/3 + 14*o**3 + 112*o**2/3 - 193*o/3 + 26.
-(o - 1)**3*(o + 2)*(o + 39)/3
Factor 720*m**2 + 725*m + 5.
5*(m + 1)*(144*m + 1)
Suppose 2*c**5/17 - 10*c**3/17 + 8*c/17 = 0. What is c?
-2, -1, 0, 1, 2
What is l in -4*l**4/5 + 49*l**3 + 3739*l**2/5 + 2602*l/5 - 888/5 = 0?
-12, -1, 1/4, 74
Suppose 2*s**4 - 15*s**3 + 27*s**2 + 27*s - 81 = 0. Calculate s.
-3/2, 3
Factor i**3 + 54*i**2 - 291*i + 236.
(i - 4)*(i - 1)*(i + 59)
Let 2*z**5 + 18*z**4 + 40*z**3 + 24*z**2 = 0. Calculate z.
-6, -2, -1, 0
Determine w, given that 4*w**3 + 20*w**2 + 24*w = 0.
-3, -2, 0
Factor -4*n**2 - 92*n + 96.
-4*(n - 1)*(n + 24)
Factor r**3/6 + 906*r**2 + 1641672*r + 991569888.
(r + 1812)**3/6
Factor k**3 + 674*k**2 + 114240*k + 225792.
(k + 2)*(k + 336)**2
Factor 5*w**5 + 20*w**4 + 30*w**3 + 20*w**2 + 5*w.
5*w*(w + 1)**4
Solve 21*t**5/4 - 69*t**4/4 - 45*t**3/4 + 249*t**2/4 - 48*t + 9 = 0 for t.
-2, 2/7, 1, 3
Find o, given that -o**2/6 - 12*o - 216 = 0.
-36
Suppose 4*f**5 + 832*f**4 + 4092*f**3 + 6512*f**2 + 3248*f = 0. What is f?
-203, -2, -1, 0
Factor 2*z**3/7 - 6*z**2/7 + 8/7.
2*(z - 2)**2*(z + 1)/7
Factor g**2/3 - 5854*g/3 + 8567329/3.
(g - 2927)**2/3
Let 2*c**4 - 224*c**3 + 6272*c**2 = 0. What is c?
0, 56
Factor -5*l**3 + 25*l**2 - 10*l - 40.
-5*(l - 4)*(l - 2)*(l + 1)
Factor -4*v**5 - 64*v**4 - 396*v**3 - 1168*v**2 - 1600*v - 768.
-4*(v + 1)*(v + 3)*(v + 4)**3
Let 2*k**3/21 + 494*k**2/21 - 496*k/21 = 0. Calculate k.
-248, 0, 1
Factor -2*u**2/11 - 608*u/11 - 46208/11.
-2*(u + 152)**2/11
Factor v**2/5 - 1424*v/5 - 285.
(v - 1425)*(v + 1)/5
Find k such that -1125*k**5 - 1425*k**4 - 320*k**3 - 20*k**2 = 0.
-1, -2/15, 0
Factor -r**4/2 - 4*r**3 + 15*r**2/2 + 27*r.
-r*(r - 3)*(r + 2)*(r + 9)/2
Solve -b**2/8 - 29*b/8 - 27/4 = 0.
-27, -2
Suppose 2*l**3/5 + 456*l**2/5 + 34656*l/5 + 877952/5 = 0. What is l?
-76
Solve -o**5 - 37*o**4/3 - 37*o**3 - 13*o**2 + 142*o/3 + 16 = 0.
-8, -3, -2, -1/3, 1
Factor -h**2/3 - 143*h/3.
-h*(h + 143)/3
Determine g so that -g**2 - 180*g - 8100 = 0.
-90
Factor -d**4 - 95*d**3 - 276*d**2 + 4*d + 368.
-(d - 1)*(d + 2)**2*(d + 92)
Factor -q**2/6 - 17*q/3 + 40.
-(q - 6)*(q + 40)/6
Determine o so that 39*o**3 + 318*o**2 + 321*o + 42 = 0.
-7, -1, -2/13
Factor -9*y**2 + 915*y + 1236.
-3*(y - 103)*(3*y + 4)
Factor 3*n**3/2 - 15*n**2/2.
3*n**2*(n - 5)/2
Find l, given that -28*l**5/3 + 1480*l**4/9 - 892*l**3/9 + 136*l**2/9 = 0.
0, 2/7, 1/3, 17
Factor -231*y**4/5 + 468*y**3/5 - 12*y**2/5.
-3*y**2*(y - 2)*(77*y - 2)/5
Factor -4*w**3/3 - 40*w**2/3 - 100*w/3.
-4*w*(w + 5)**2/3
Suppose 2*v**2/7 - 10*v/7 - 4 = 0. What is v?
-2, 7
Factor -4*u**3/7 + 44*u**2 + 960*u/7.
-4*u*(u - 80)*(u + 3)/7
Factor 4*b**2 - 132*b + 648.
4*(b - 27)*(b - 6)
Let 2*d**4/7 - 5792*d**3/7 + 4181808*d**2/7 + 16796800*d/7 + 16820000/7 = 0. Calculate d.
-2, 1450
Factor 8*l**3 + 5834*l**2 - 10238*l - 2924.
2*(l - 2)*(l + 731)*(4*l + 1)
Factor 5*h**2/6 - 445*h/6 + 2920/3.
5*(h - 73)*(h - 16)/6
Factor 4*z**4 - 44*z**3 - 712*z**2 - 2560*z - 2688.
4*(z - 21)*(z + 2)*(z + 4)**2
Find o such that 2*o**3/11 + 14*o**2/11 + 28*o/11 + 16/11 = 0.
-4, -2, -1
Determine s, given that -3*s**4 + 7494*s**3 - 6244992*s**2 + 1740251136*s - 3455582208 = 0.
2, 832
Factor 194*m**3 - 392*m**2 + 202*m - 4.
2*(m - 1)**2*(97*m - 2)
Solve 5*u**3 + 330*u**2 + 640*u = 0.
-64, -2, 0
Determine q so that 84*q**5 + 6513*q**4 + 9855*q**3 + 3882*q**2 + 456*q = 0.
-76, -1, -2/7, -1/4, 0
Factor -t**2/3 - 101*t/3 + 140.
-(t - 4)*(t + 105)/3
Find w such that 2*w**2 - 1512*w + 285768 = 0.
378
Find n, given that 2*n**3 - 4060*n**2 + 2064504*n - 4112784 = 0.
2, 1014
Let -7*j**2/4 - 247*j/4 - 35/2 = 0. Calculate j.
-35, -2/7
Suppose 2*d**3/17 - 110*d**2/17 + 1200*d/17 + 9000/17 = 0. What is d?
-5, 30
Factor s**5/2 + 3*s**4/2 - 5*s**3 + s**2 + 9*s/2 - 5/2.
(s - 1)**3*(s + 1)*(s + 5)/2
Let q**5 + 41*q**4 + 78*q**3 - 2*q**2 - 79*q - 39 = 0. What is q?
-39, -1, 1
Factor 4*t**3 - 28*t**2 - 16*t + 112.
4*(t - 7)*(t - 2)*(t + 2)
Factor -6*s**3/7 - 144*s**2/7 - 138*s/7.
-6*s*(s + 1)*(s + 23)/7
Factor -c**2/7 + 83*c/7 + 170/7.
-(c - 85)*(c + 2)/7
Find d such that -d**3/6 - 47*d**2/6 - 575*d/6 - 529/6 = 0.
-23, -1
Factor -g**2 + 101*g.
-g*(g - 101)
Factor u**4/2 - 2*u**3 + 5*u**2/2 - u.
u*(u - 2)*(u - 1)**2/2
Factor 3*w**2/8 - 87*w/4 + 2523/8.
3*(w - 29)**2/8
Find l such that 9*l**5 + 255*l**4 + 1443*l**3 - 1167*l**2 - 540*l = 0.
-20, -9, -1/3, 0, 1
Factor -3*o**2/5 - 9*o + 2808/5.
-3*(o - 24)*(o + 39)/5
Determine n so that 3*n**5 + 30*n**4 - 741*n**3 + 1212*n**2 + 1980*n = 0.
-22, -1, 0, 3, 10
Factor s**5/4 - 35*s**4/4 + 355*s**3/4 - 865*s**2/4 + 200*s - 64.
(s - 16)**2*(s - 1)**3/4
Suppose -m**4 + 22*m**3 - 141*m**2 + 220*m - 100 = 0. What is m?
1, 10
Determine r, given that 4*r**3 + 109*r**2 + 24*r - 81 = 0.
-27, -1, 3/4
Determine z so that 3*z**3 - 114*z**2 + 423*z + 2376 = 0.
-3, 8, 33
Factor 5*y**5 - 10*y**4 - 20*y**3 + 10*y**2 + 15*y.
5*y*(y - 3)*(y - 1)*(y + 1)**2
Solve 2*f**5/9 + 8*f**4/9 - 22*f**3/9 + 4*f**2/3 = 0.
-6, 0, 1
What is k in -2*k**4/7 + 426*k**3/7 - 2880*k**2 - 39424*k = 0?
-11, 0, 112
Let 12*x**4 - 28*x**3 + 20*x**2 - 4*x = 0. What is x?
0, 1/3, 1
Factor -2*y**5 - 30*y**4 + 68*y**3.
-2*y**3*(y - 2)*(y + 17)
Factor w**3/9 + 4*w**2/9 - 7*w/9 - 10/9.
(w - 2)*(w + 1)*(w + 5)/9
Find q such that -3*q**2 + 1065*q + 3222 = 0.
-3, 358
Solve v**2 - 522*v + 68121 = 0.
261
Solve -5*t**5 + 635*t**4 - 20470*t**3 + 19210*t**2 + 20475*t - 19845 = 0 for t.
-1, 1, 63
Solve 4*w**4/9 - 28*w**3/9 + 8*w**2/3 + 112*w/9 - 160/9 = 0.
-2, 2, 5
Factor -3*s**2 - 219*s - 426.
-3*(s + 2)*(s + 71)
Factor 5*a**2 + 1000*a + 50000.
5*(a + 100)**2
Suppose d**4 + 16*d**3 - 35*d**2 + 18*d = 0. What is d?
-18, 0, 1
Factor -25*t**3 + 460*t**2 + 785*t + 300.
-5*(t - 20)*(t + 1)*(5*t + 3)
Determine b so that 6*b**4/5 + 303*b**3/5 - 1113*b**2/5 + 1128*b/5 - 324/5 = 0.
-54, 1/2, 1, 2
Solve -2*p**2/5 + 112*p/5 + 354/5 = 0 for p.
-3, 59
Solve w**4 - 245*w**3 + 15126*w**2 - 14396*w - 29768 = 0 for w.
-1, 2, 122
Suppose 160083*p**3 + 924*p**2 + 4*p/3 = 0. Calculate p.
-2/693, 0
Determine a, given that -2*a**3 - a**2/2 + 8*a + 2 = 0.
-2, -1/4, 2
Determine o so that -o**4/9 + 10*o**3 - 88*o**2/3 + 262*o/9 - 29/3 = 0.
1, 87
Factor -w**2/2 - 79*w - 6241/2.
-(w + 79)**2/2
Let 16*r**5 - 2780*r**4 + 128408*r**3 - 658540*r**2 + 391776*r + 141120 = 0. Calculate r.
-1/4, 1, 5, 84
Let 2*m**5 - 17*m**4 + 38*m**3 - 7*m**2 - 44*m + 20 = 0. What is m?
-1, 1/2, 2, 5
Factor 605*s**5 + 5115*s**4 + 16215*s**3 + 24005*s**2 + 16800*s + 4500.
5*(s + 1)**3*(11*s + 30)**2
Solve 8*b**5 - 142*b**4 - 8*b**3 + 142*b**2 = 0.
-1, 0, 1, 71/4
Factor -2*i**2/3 - 112*i - 330.
-2*(i + 3)*(i + 165)/3
Suppose -y**4/7 - 8*y**3/7 - 15*y**2/7 + 4*y/7 + 20/7 = 0. What is y?
-5, -2, 1
Factor -z**4/8 + 9*z**3/4 - 59*z**2/8 + 21*z/4.
-z*(z - 14)*(z - 3)*(z - 1)/8
Factor 2*f**4/15 + 4*f**3/15 + 2*f**2/15.
2*f**2*(f + 1)**2/15
Factor b**2/2 - 91*b/2 + 684.
(b - 72)*(b - 19)/2
Factor -f**4 - 127*f**3 + 133*f**2 + 643*f + 384.
-(f - 3)*(f + 1)**2*(f + 128)
Find t, given that 8*t**5/3 - 4*t**4 - 52*t**3/3 + 44*t**2 - 100*t/3 + 8 = 0.
-3, 1/2, 1, 2
Let -s**2/7 + 22*s/7 + 23/7 = 0. Calculate s.
-1, 23
Solve m**3/5 + 43*m**2/5 + 83*m/5 + 41/5 = 0.
-41, -1
Factor -o**3 + 15*o**2.
-o**2*(o - 15)
Let -32*x**5 - 208*x**4 - 354*x**3 + 54*x**2 + 378*x + 162 = 0. Calculate x.
-3, -3/4, 1
Factor 5*r**3 + 295*r**2 - 1240*r + 1260.
5*(r - 2)**2*(r + 63)
Factor 2*j**5 - 6*j**4 - 4*j**3 + 24*j**2 - 16*j.
2*j*(j 