- 4)*(w - 3)*(w - 1)
Determine b, given that b**3 - 5*b**2 + 8*b - 4 = 0.
1, 2
Find g, given that 4*g**3 + 8*g**2 - 60*g = 0.
-5, 0, 3
Let 21*y**4/2 - 64*y**3 + 132*y**2 - 96*y + 8 = 0. What is y?
2/21, 2
Determine v, given that 3*v**2 - 954*v + 75843 = 0.
159
Factor 2*s**2/15 - 478*s/15 - 648/5.
2*(s - 243)*(s + 4)/15
Suppose 5*k**3/6 - 10*k**2/3 - 50*k/3 + 40 = 0. What is k?
-4, 2, 6
Factor 2*u**4/5 - 392*u**3 + 472296*u**2/5 + 774592*u + 7809152/5.
2*(u - 494)**2*(u + 4)**2/5
Factor n**5 - 55*n**4.
n**4*(n - 55)
Suppose r**4 - 22*r**3 - 163*r**2 - 140*r = 0. What is r?
-5, -1, 0, 28
Factor x**3/4 + 24*x**2 + 576*x.
x*(x + 48)**2/4
Factor -5*z**3 + 380*z**2 + 7040*z + 29440.
-5*(z - 92)*(z + 8)**2
Factor -2*r**2 - 14*r + 120.
-2*(r - 5)*(r + 12)
Let 120*f**5 - 7926*f**4/7 - 5154*f**3/7 + 588*f**2 + 264*f/7 - 240/7 = 0. What is f?
-1, -1/4, 2/7, 2/5, 10
Solve -3*g**4 - 66*g**3 - 177*g**2 - 114*g = 0.
-19, -2, -1, 0
Factor -j**4/5 - 5*j**3 - 168*j**2/5 - 144*j/5.
-j*(j + 1)*(j + 12)**2/5
Find t such that t**2/5 + 332*t/5 + 27556/5 = 0.
-166
Determine w so that w**5/11 + 3*w**4/11 - w**3 - 3*w**2/11 + 10*w/11 = 0.
-5, -1, 0, 1, 2
Factor 4*g**4/5 + 1108*g**3/5 - 1112*g**2/5.
4*g**2*(g - 1)*(g + 278)/5
Factor -g**2 - 157*g + 158.
-(g - 1)*(g + 158)
Factor 2*s**4/3 - 154*s**3/3 + 292*s**2 - 1720*s/3 + 1136/3.
2*(s - 71)*(s - 2)**3/3
Factor -98*y**4/9 + 23072*y**3/9 - 450448*y**2/3 - 777856*y/9 - 111392/9.
-2*(y - 118)**2*(7*y + 2)**2/9
Factor -4*i**2 - 2632*i - 432964.
-4*(i + 329)**2
Solve n**5/3 - 7*n**4/3 + 14*n**3/3 - 2*n**2/3 - 5*n + 3 = 0 for n.
-1, 1, 3
Determine b, given that -36*b**5 - 144*b**4 - 48*b**3 + 472*b**2/3 - 196*b/3 + 8 = 0.
-3, -2, 1/3
Factor 2*i**3/19 - 492*i**2/19 - 990*i/19 - 496/19.
2*(i - 248)*(i + 1)**2/19
Factor -2*g**3 + 20*g**2 - 38*g - 60.
-2*(g - 6)*(g - 5)*(g + 1)
Determine h so that 3*h**3 + 57*h**2 - 150*h - 504 = 0.
-21, -2, 4
Determine t so that -5*t**3 + 2900*t**2 + 5815*t + 2910 = 0.
-1, 582
Factor q**3/3 + 2*q**2/3 - 13*q/3 + 10/3.
(q - 2)*(q - 1)*(q + 5)/3
What is o in -17161*o**3/2 + 16899*o**2/2 + 261*o/2 + 1/2 = 0?
-1/131, 1
Let -x**4 - 11*x**3/2 - 2*x**2 + 5*x/2 = 0. Calculate x.
-5, -1, 0, 1/2
Solve 3*l**2 + 126*l + 1323 = 0.
-21
Factor 4*s**3/3 - 13220*s**2/3 + 3638804*s + 3643212.
4*(s - 1653)**2*(s + 1)/3
Factor -q**2 + 116*q - 3364.
-(q - 58)**2
Determine i, given that -2*i**4 + 26*i**3 + 126*i**2 + 166*i + 68 = 0.
-2, -1, 17
Factor -3*q**4 - 150*q**3 - 2559*q**2 - 17100*q - 38988.
-3*(q + 6)**2*(q + 19)**2
Factor -5*s**2 - 11985*s - 23950.
-5*(s + 2)*(s + 2395)
Determine j so that -j**3 - 267*j**2 - 23763*j - 704969 = 0.
-89
Find o, given that -2*o**3/9 + 458*o**2/9 + 922*o/9 + 154/3 = 0.
-1, 231
Determine b so that b**5/8 + 11*b**4/8 - 7*b**3 + 15*b**2/2 = 0.
-15, 0, 2
Solve -5*t**2 + 165*t + 540 = 0.
-3, 36
Factor -t**3/3 + 26*t**2/3 + 55*t/3 + 28/3.
-(t - 28)*(t + 1)**2/3
Determine k, given that -5*k**5 - 45*k**4 - 30*k**3 + 80*k**2 = 0.
-8, -2, 0, 1
Solve 2*q**5/9 + 28*q**4/9 + 26*q**3/9 = 0.
-13, -1, 0
Find k such that -3*k**5/4 + 53*k**4/2 - 393*k**3/2 - 656*k**2 - 2451*k/4 - 361/2 = 0.
-1, -2/3, 19
Suppose i**2/2 + 7*i/8 - 1/4 = 0. What is i?
-2, 1/4
Let 2*a**2 + 32*a = 0. Calculate a.
-16, 0
Factor 3*b**3 + 174*b**2 + 2880*b + 14688.
3*(b + 12)**2*(b + 34)
Determine n, given that -64*n**3 - 4768*n**2 + 2396*n - 300 = 0.
-75, 1/4
Determine k so that 3*k**4/7 + 18*k**3/7 - 15*k**2 + 144*k/7 - 60/7 = 0.
-10, 1, 2
Solve 2*c**4 + 20*c**3 + 66*c**2 + 80*c + 32 = 0.
-4, -1
Let 3*i**4 - 54*i**3 + 324*i**2 - 714*i + 441 = 0. What is i?
1, 3, 7
Factor -d**3/3 - 429*d**2 - 857*d - 1285/3.
-(d + 1)**2*(d + 1285)/3
Factor -3*s**3 - 52*s**2 - 17*s.
-s*(s + 17)*(3*s + 1)
Let -i**5 - 88*i**4 - 2982*i**3 - 47628*i**2 - 342657*i - 777924 = 0. Calculate i.
-21, -4
Factor -s**3/4 - 207*s**2/4 - 2652*s + 2704.
-(s - 1)*(s + 104)**2/4
Factor 2*m**2 - 520*m + 33800.
2*(m - 130)**2
Factor 5*v**3 - 145*v**2 + 875*v - 735.
5*(v - 21)*(v - 7)*(v - 1)
Let -8*r**4/3 + 11*r**3/3 + 6*r**2 - 11*r/3 - 10/3 = 0. What is r?
-1, -5/8, 1, 2
Factor -2*a**2 - 37*a/3 - 2.
-(a + 6)*(6*a + 1)/3
Find c, given that -128*c**2 + 32*c - 2 = 0.
1/8
Factor -c**3/10 - 6*c**2/5 + 3*c/2 + 13/5.
-(c - 2)*(c + 1)*(c + 13)/10
Let 3*s**5 - 117*s**4 + 537*s**3 - 939*s**2 + 720*s - 204 = 0. What is s?
1, 2, 34
Factor 4*x**2 - 328*x + 6724.
4*(x - 41)**2
Factor -3*p**3 + 96*p**2 + 3*p - 96.
-3*(p - 32)*(p - 1)*(p + 1)
Factor 4*u**3 - 176*u**2 - 188*u + 360.
4*(u - 45)*(u - 1)*(u + 2)
What is k in k**4/4 + 29*k**3/4 + 23*k**2/4 - 137*k/4 + 21 = 0?
-28, -3, 1
Factor 5*h**3 + 390*h**2 - 1620*h + 1640.
5*(h - 2)**2*(h + 82)
Suppose -3*b**2/5 + 48*b - 693/5 = 0. What is b?
3, 77
Factor -3*k**2/2 - 9462*k - 14921574.
-3*(k + 3154)**2/2
Determine j so that 2*j**2 + 2*j - 24 = 0.
-4, 3
Let i**2/4 + 317*i/4 - 159/2 = 0. Calculate i.
-318, 1
Find c such that -5*c**2 - 915*c + 2790 = 0.
-186, 3
Suppose -2*l**2 + 130*l - 600 = 0. Calculate l.
5, 60
Factor a**3 + 24*a**2 + 144*a + 256.
(a + 4)**2*(a + 16)
Find q such that q**4/3 - 29*q**3 - 181*q**2/3 + 89*q = 0.
-3, 0, 1, 89
Find l, given that -4*l**2 - 12720*l - 10112400 = 0.
-1590
What is x in 5*x**2 - 50*x + 45 = 0?
1, 9
Factor 4*a**4 - 24*a**3 - 36*a**2 + 56*a.
4*a*(a - 7)*(a - 1)*(a + 2)
Factor -2*v**4 + 44*v**3 - 192*v**2 - 1100*v + 6050.
-2*(v - 11)**2*(v - 5)*(v + 5)
Factor -3*g**2/7 + 9*g + 66/7.
-3*(g - 22)*(g + 1)/7
Find c such that -3*c**3 - 18*c**2 + 45*c - 24 = 0.
-8, 1
Let 3*y**5/4 - 267*y**4/4 + 1521*y**3/4 - 2241*y**2/4 = 0. Calculate y.
0, 3, 83
Factor -4*a**3/3 + 116*a**2/3 + 376*a/3 + 256/3.
-4*(a - 32)*(a + 1)*(a + 2)/3
Find h, given that 2*h**2 - 3696*h + 1707552 = 0.
924
Factor 5*a**3 - 40*a**2 + 60*a.
5*a*(a - 6)*(a - 2)
Factor 4*t**3/3 - 124*t**2/3 - 128*t/3.
4*t*(t - 32)*(t + 1)/3
Factor 2*d**4/15 + 12*d**3/5 + 218*d**2/15 + 168*d/5 + 392/15.
2*(d + 2)**2*(d + 7)**2/15
Let 3*t**2 + 333*t + 330 = 0. Calculate t.
-110, -1
Determine h so that -4*h**3 + 64*h**2 - 308*h + 392 = 0.
2, 7
What is p in -p**3 - 74*p**2 - 145*p - 72 = 0?
-72, -1
Factor 2*o**4 - 24*o**3 - 266*o**2.
2*o**2*(o - 19)*(o + 7)
Find g such that -4*g**5/7 + 444*g**4/7 - 9469*g**3/7 - 24210*g**2 + 25193*g - 44652/7 = 0.
-12, 1/2, 61
Find f such that -f**4 + 62*f**3 - 1357*f**2 + 12276*f - 39204 = 0.
9, 22
Factor 3*q**4/2 - 162*q**3 + 945*q**2/2.
3*q**2*(q - 105)*(q - 3)/2
Find i, given that -2*i**2/11 + 36*i - 1782 = 0.
99
Solve -10*m**4 + 38*m**2/5 - 12*m/5 = 0.
-1, 0, 2/5, 3/5
Solve -10*l**3 - 3*l**2 + 10*l + 3 = 0 for l.
-1, -3/10, 1
What is z in z**2/10 + 2*z + 48/5 = 0?
-12, -8
Determine j, given that -2*j**4 - 14*j**3 - 10*j**2 + 14*j + 12 = 0.
-6, -1, 1
Factor -4*q**3 + 112*q**2 + 16*q - 448.
-4*(q - 28)*(q - 2)*(q + 2)
Suppose -125*l**5 - 75*l**4 + 745*l**3 + 1455*l**2 + 1000*l + 240 = 0. What is l?
-1, -4/5, 3
Determine u so that 6*u**4 - 75*u**3 + 270*u**2 - 285*u + 84 = 0.
1/2, 1, 4, 7
Factor 4*m**4 - 175*m**3 - 408*m**2 - 275*m - 46.
(m - 46)*(m + 1)**2*(4*m + 1)
Factor 44*a**3 + 36*a**2 - 96*a + 16.
4*(a - 1)*(a + 2)*(11*a - 2)
Solve 192*q**3 - 144*q**2 - 45*q - 3 = 0.
-1/8, 1
Factor 175*m**2 + 690*m - 40.
5*(m + 4)*(35*m - 2)
Factor -4*f**2 + 1632*f - 166464.
-4*(f - 204)**2
Factor -3*x**3 - 111*x**2 + 555*x + 2583.
-3*(x - 7)*(x + 3)*(x + 41)
Factor 5*d**5 + 30*d**4 - 170*d**3 + 280*d**2 - 195*d + 50.
5*(d - 1)**4*(d + 10)
Factor -2*w**4 + 146*w**3 + 610*w**2 + 462*w.
-2*w*(w - 77)*(w + 1)*(w + 3)
Factor -2*p**4/9 + 56*p**3/3 - 392*p**2.
-2*p**2*(p - 42)**2/9
Factor 3*p**3/4 + 69*p**2/8 + 225*p/8 + 81/4.
3*(p + 1)*(p + 6)*(2*p + 9)/8
Factor 4*i**4 - 64*i**3 + 308*i**2 - 392*i.
4*i*(i - 7)**2*(i - 2)
Factor -g**4/2 + 19*g**3/2 - 32*g**2 - 42*g.
-g*(g - 14)*(g - 6)*(g + 1)/2
Factor -3*r**3/8 + 15*r**2/4 + 39*r/8 - 33/4.
-3*(r - 11)*(r - 1)*(r + 2)/8
Factor 4*r**4 - 712*r**3 - 720*r**2 + 712*r + 716.
4*(r - 179)*(r - 1)*(r + 1)**2
Let -f**3/4 - 21*f**2/2 - 461*f/4 - 105 = 0. What is f?
-21, -20, -1
Factor -2*l**3/11 + 106*l**2/11 - 104*l/11.
-2*l*(l - 52)*(l - 1)/11
Factor -4*g**5 - 136*g**4 - 1732*g**3 - 10288*g**2 - 28864*g - 30976.
-4*(g + 4)**3*(g + 11)**2
Solve -i**5/4 + 3*i**4/2 - 3*i**3/2 - 4*i**2 + 15*i/4 + 9/2 = 0.
-1, 2, 3
Factor -2*l**3 - 240*l**2 - 472*l.
-2*l*(l + 2)*(l + 118)
Suppose 22*p*