3/7 + 214*u**2/7 + 422*u/7 + 30.
2*(u + 1)**2*(u + 105)/7
Factor -2*p**2 - 20*p.
-2*p*(p + 10)
Suppose z**2 - z - 6 = 0. What is z?
-2, 3
Determine t so that 2*t**2/11 - 4*t/11 - 16/11 = 0.
-2, 4
Factor -3*o**2/7 + 423*o/7 + 858/7.
-3*(o - 143)*(o + 2)/7
Factor -14*p**3 - 36*p**2 - 30*p - 8.
-2*(p + 1)**2*(7*p + 4)
Factor -4*f**3 + 468*f**2 + 2416*f + 2928.
-4*(f - 122)*(f + 2)*(f + 3)
Find x, given that 226*x**3/5 - 1586*x**2/5 + 1384*x/5 - 24/5 = 0.
2/113, 1, 6
Factor 2*x**2 + 238*x.
2*x*(x + 119)
Factor 2*n**3/5 + 34*n**2/5 + 182*n/5 + 294/5.
2*(n + 3)*(n + 7)**2/5
Factor 3*b**2/2 - 4345*b/6 - 161.
(b - 483)*(9*b + 2)/6
What is w in 2*w**2 - 128*w + 2048 = 0?
32
Factor -2*k**2/13 - 3108*k/13 - 1207458/13.
-2*(k + 777)**2/13
Factor 5*g**3/3 + 80*g**2/3 + 305*g/3 + 110.
5*(g + 2)*(g + 3)*(g + 11)/3
Let 5*y**3 + 20*y**2 + 25*y + 10 = 0. What is y?
-2, -1
Factor -j**2/3 - 380*j/3 + 383.
-(j - 3)*(j + 383)/3
Solve x**4 + 15*x**3 + 25*x**2 - 15*x - 26 = 0.
-13, -2, -1, 1
What is f in -f**4/4 - 63*f**3/4 - 294*f**2 - 1372*f = 0?
-28, -7, 0
Let 405*v**3/4 - 33*v**2 - 3*v = 0. What is v?
-2/27, 0, 2/5
Factor -4*l**2 - 112*l - 784.
-4*(l + 14)**2
Factor 10*g**3/7 - 64*g**2/7 + 104*g/7 - 32/7.
2*(g - 4)*(g - 2)*(5*g - 2)/7
Factor 4*z**3/9 - 4*z/3 - 8/9.
4*(z - 2)*(z + 1)**2/9
Let 2*l**2/3 - 28*l + 294 = 0. Calculate l.
21
Find v such that 4*v**4/3 - 15*v**3 - 89*v**2/3 - 9*v + 13/3 = 0.
-1, 1/4, 13
Determine x, given that 4*x**4 + 472*x**3 + 15268*x**2 + 79296*x + 112896 = 0.
-56, -3
Factor 2*p**3 - 60*p**2 + 600*p - 2000.
2*(p - 10)**3
Factor -v**2/4 - 460*v - 211600.
-(v + 920)**2/4
Determine s, given that -3*s**3 - 27*s**2 + 198*s - 168 = 0.
-14, 1, 4
Factor 15*f**4 + 249*f**3 + 138*f**2 - 96*f.
3*f*(f + 1)*(f + 16)*(5*f - 2)
Find i, given that -i**5/2 + 65*i**4 + 333*i**3 + 604*i**2 + 943*i/2 + 135 = 0.
-2, -1, 135
Let -5*y**5 - 20*y**4 - 5*y**3 + 70*y**2 + 100*y + 40 = 0. What is y?
-2, -1, 2
Factor 2*z**2 - 122*z + 660.
2*(z - 55)*(z - 6)
Determine f so that 4*f**2 - 188*f + 2088 = 0.
18, 29
Let -2*a**3/11 + 8*a**2/11 = 0. Calculate a.
0, 4
Determine n, given that 2*n**2/9 - 8*n/3 + 40/9 = 0.
2, 10
Factor -h**2/4 - 30*h - 119/4.
-(h + 1)*(h + 119)/4
Solve -3*j**4/4 + 365*j**3/4 - 121*j**2/2 = 0 for j.
0, 2/3, 121
Solve -s**5 - 55*s**4 - 1026*s**3 - 6804*s**2 - 5832*s = 0 for s.
-18, -1, 0
Let -5*r**2 - 80*r + 285 = 0. Calculate r.
-19, 3
What is t in -t**3/4 + 5*t**2/2 - 3*t - 18 = 0?
-2, 6
Factor -33*v**3 - 303*v**2 - 714*v - 120.
-3*(v + 4)*(v + 5)*(11*v + 2)
Factor -4*m**2 + 40224*m - 101123136.
-4*(m - 5028)**2
Factor -4*h**2/5 - 44*h + 2904/5.
-4*(h - 11)*(h + 66)/5
What is x in 3*x**5/2 - 1290*x**4 + 559839*x**3/2 - 1105527*x**2 + 1376448*x - 549552 = 0?
1, 2, 428
Factor -n**3/3 - 32*n**2/3 - 256*n/3.
-n*(n + 16)**2/3
Factor 3*x**4 - 66*x**3 - 9*x**2 + 192*x + 132.
3*(x - 22)*(x - 2)*(x + 1)**2
Factor -5*v**3/3 + 15*v**2 - 40*v + 100/3.
-5*(v - 5)*(v - 2)**2/3
Solve -8*o**3/21 - 94*o**2/21 - 64*o/21 + 22/21 = 0 for o.
-11, -1, 1/4
Let 3*i**4 - 414*i**3 + 14283*i**2 = 0. What is i?
0, 69
What is v in 2*v**4/5 - 24*v**3/5 + 92*v**2/5 - 24*v + 10 = 0?
1, 5
Solve p**4/4 - 10*p**3 + 138*p**2 - 728*p + 980 = 0.
2, 10, 14
Factor 3*n**2/7 - 66*n/7 - 144/7.
3*(n - 24)*(n + 2)/7
Factor 2*w**4/5 - 54*w**3/5 + 528*w**2/5 - 2176*w/5 + 3072/5.
2*(w - 8)**3*(w - 3)/5
Find n, given that -n**5 - 83*n**4 + 346*n**3 - 178*n**2 - 345*n + 261 = 0.
-87, -1, 1, 3
Let 5*a**2 - 130*a + 825 = 0. Calculate a.
11, 15
Let 4*q**5 - 172*q**4 + 1208*q**3 - 3176*q**2 + 3396*q - 1260 = 0. What is q?
1, 3, 35
Factor 5*y**5 + 15*y**4 - 75*y**3 + 85*y**2 - 30*y.
5*y*(y - 1)**3*(y + 6)
Find v such that 2*v**3/13 - 170*v**2/13 - 2*v/13 + 170/13 = 0.
-1, 1, 85
Solve -3*l**4 + 22*l**3 + l**2 - 52*l - 28 = 0 for l.
-1, -2/3, 2, 7
Factor 182*h**2 - 368*h + 8.
2*(h - 2)*(91*h - 2)
Suppose 2*h**4 - 6*h**3 - 24*h**2 + 40*h + 96 = 0. Calculate h.
-2, 3, 4
Let -4*v**5 - 884*v**4 - 49280*v**3 - 48400*v**2 = 0. What is v?
-110, -1, 0
Solve -3*z**3/5 - 18*z**2 + 801*z/5 + 888/5 = 0.
-37, -1, 8
Find r, given that 3*r**4 + 8*r**3 - 3*r**2 - 12*r + 4 = 0.
-2, 1/3, 1
Factor -4*r**2/3 + 1792*r/3 - 200704/3.
-4*(r - 224)**2/3
Let m**2/5 + 28*m/5 + 196/5 = 0. What is m?
-14
Factor -20*x**4 + 64*x**3 - 16*x**2 - 64*x.
-4*x*(x - 2)**2*(5*x + 4)
Factor 2*c**3 + 232*c**2 + 8890*c + 112700.
2*(c + 35)**2*(c + 46)
Factor -f**3/8 - 11*f**2/8 + 29*f/8 + 39/8.
-(f - 3)*(f + 1)*(f + 13)/8
Let -w**3/3 - 775*w**2/3 - 50181*w - 49923 = 0. What is w?
-387, -1
Factor 2*h**4 + 6*h**3 - 4*h**2 - 24*h - 16.
2*(h - 2)*(h + 1)*(h + 2)**2
Suppose 9*h**4/2 - 42*h**3 - 117*h**2/2 + 294*h - 90 = 0. What is h?
-3, 1/3, 2, 10
Factor 2*h**5 + 232*h**4 + 1760*h**3 + 3456*h**2.
2*h**2*(h + 4)**2*(h + 108)
Determine d so that 9*d**4 - 30*d**3 + 30*d - 9 = 0.
-1, 1/3, 1, 3
Factor 5*m**3 + 365*m**2 + 710*m.
5*m*(m + 2)*(m + 71)
Let -2*k**2/3 - 760*k/3 - 72200/3 = 0. Calculate k.
-190
Solve 5*m**2 - 40*m + 35 = 0 for m.
1, 7
Find h such that h**3/3 + 4*h**2/3 + h = 0.
-3, -1, 0
Determine c, given that 3*c**5/7 + 48*c**4/7 + 186*c**3/7 - 48*c**2/7 - 27*c = 0.
-9, -7, -1, 0, 1
Determine o so that -3*o**3/5 - 54*o**2/5 - 36*o - 168/5 = 0.
-14, -2
Factor -2*n**3/9 - 4*n**2 - 46*n/3 - 104/9.
-2*(n + 1)*(n + 4)*(n + 13)/9
Let 2*x**5 + 60*x**4/7 + 58*x**3/7 + 12*x**2/7 = 0. What is x?
-3, -1, -2/7, 0
Factor -y**4 - 990*y**3 - 245024*y**2 + 990*y + 245025.
-(y - 1)*(y + 1)*(y + 495)**2
Suppose v**4/10 + 9*v**3/10 + 27*v**2/10 + 31*v/10 + 6/5 = 0. Calculate v.
-4, -3, -1
Factor -2*h**4/11 - 58*h**3/11 + 420*h**2/11.
-2*h**2*(h - 6)*(h + 35)/11
Determine h so that -h**3 + 9*h**2 - 18*h = 0.
0, 3, 6
Solve -18*v**5 - 57*v**4 - 39*v**3 + 12*v**2 + 12*v = 0.
-2, -1, -2/3, 0, 1/2
Solve 30*v**3/7 - 324*v**2 - 912*v/7 = 0.
-2/5, 0, 76
Factor 3*k**4/2 - 3*k**3/2 - 27*k**2/2 + 27*k/2.
3*k*(k - 3)*(k - 1)*(k + 3)/2
Let -2*j**3 - 8*j**2 - 2*j + 12 = 0. What is j?
-3, -2, 1
Factor -2*h**3/13 - 6*h**2/13 + 176*h/13.
-2*h*(h - 8)*(h + 11)/13
Suppose 3*f**2 + 99*f + 600 = 0. What is f?
-25, -8
Find q, given that q**5 - 16*q**4/3 + 5*q**3 + 10*q**2 - 28*q/3 - 8 = 0.
-1, -2/3, 2, 3
Factor -15*p**3 - 801*p**2 - 2568*p - 900.
-3*(p + 3)*(p + 50)*(5*p + 2)
Solve l**5 - l**4 - l**3 + l**2 = 0.
-1, 0, 1
Solve 2*s**3/21 - 2*s**2/7 + 4*s/21 = 0 for s.
0, 1, 2
Factor p**2 + 9*p - 70.
(p - 5)*(p + 14)
Find s, given that 2*s**5 + 8*s**4 + 10*s**3 + 4*s**2 = 0.
-2, -1, 0
Find a, given that -2*a**3/23 - 154*a**2/23 - 448*a/23 - 296/23 = 0.
-74, -2, -1
Let -25*x**5 + 35*x**4 + 114*x**3 + 26*x**2 - 25*x + 3 = 0. What is x?
-1, 1/5, 3
What is i in -3*i**5 - 33*i**4 + 3*i**3 + 33*i**2 = 0?
-11, -1, 0, 1
Let -2*v**4 + 42*v**3 + 44*v**2 = 0. Calculate v.
-1, 0, 22
Determine r, given that 2*r**4/7 - 208*r**3 - 5846*r**2/7 - 7316*r/7 - 2928/7 = 0.
-2, -1, 732
Find o, given that -2*o**2/19 - 10*o - 552/19 = 0.
-92, -3
Determine w so that -2*w**5/5 + 32*w**4/5 - 146*w**3/5 + 284*w**2/5 - 248*w/5 + 16 = 0.
1, 2, 10
Find q such that 4*q**5 - 124*q**4 + 652*q**3 - 1348*q**2 + 1216*q - 400 = 0.
1, 2, 25
Solve x**4/7 + 10*x**3/7 + 31*x**2/7 + 30*x/7 = 0.
-5, -3, -2, 0
Factor -5*m**3/3 - 10*m**2 + 5*m/3 + 10.
-5*(m - 1)*(m + 1)*(m + 6)/3
Factor 3*j**2 + 90*j + 87.
3*(j + 1)*(j + 29)
Suppose 3*s**4/5 - 21*s**3 + 432*s**2/5 + 108*s = 0. Calculate s.
-1, 0, 6, 30
Determine u so that 4*u**5/7 - 80*u**4/7 - 272*u**3/7 - 104*u**2/7 + 268*u/7 + 184/7 = 0.
-2, -1, 1, 23
Factor -34*h**2 + 396*h + 144.
-2*(h - 12)*(17*h + 6)
Factor 6*l**2 + 17132*l - 11424.
2*(l + 2856)*(3*l - 2)
Factor 71*w**2/7 - 73*w/7 + 2/7.
(w - 1)*(71*w - 2)/7
Suppose 9*g**3 - 897*g**2 - 300*g = 0. What is g?
-1/3, 0, 100
Suppose c**3/2 + 25*c**2 = 0. What is c?
-50, 0
Factor 3*v**2 - 53*v - 118.
(v + 2)*(3*v - 59)
Factor -2*b**2/5 - 2128*b/5 - 566048/5.
-2*(b + 532)**2/5
Suppose 4*y**5 - 10*y**4 - 10*y**3 + 10*y**2 + 6*y = 0. What is y?
-1, -1/2, 0, 1, 3
What is c in c**2 - 46*c + 529 = 0?
23
Let -4*r**3 + 4*r**2 + 164*r - 420 = 0. What is r?
-7, 3, 5
Suppose -6*z**4 + 164*z**3 - 488*z**2 + 176*z + 384 = 0. Calculate z.
-2/3, 2, 24
Factor 12*x**3 + 1540*x**2 + 2036*x + 508.
4*(x + 1)*(x + 127)*(3*x + 1)
Solve -3*g**3 - 66*g**2 - 267*g - 204 = 0 for g.
-17, -4, -1
Find z such that -z**5/4 - 3*z**4/4 + 9*z**3/4 + 23