 18)*(5*z - 2)
Factor -g**2 + 202*g - 10201.
-(g - 101)**2
Determine h so that -2*h**4/11 + 6*h**3/11 + 140*h**2/11 + 72*h/11 - 720/11 = 0.
-6, -3, 2, 10
Determine m, given that -m**2 + 60*m + 544 = 0.
-8, 68
What is u in 45*u**3 - 1986*u**2 + 22044*u - 2904 = 0?
2/15, 22
Suppose -8*t**3 + 44*t**2 - 48*t = 0. Calculate t.
0, 3/2, 4
What is t in 5*t**3 + 395*t**2 + 8360*t + 21660 = 0?
-38, -3
Factor -5*z**3/2 + 115*z**2 + 235*z/2.
-5*z*(z - 47)*(z + 1)/2
Let -2*z**4/11 + 150*z**3/11 + 788*z**2/11 + 960*z/11 = 0. What is z?
-3, -2, 0, 80
Suppose -m**3/12 + 14*m**2/3 - 589*m/12 + 215/2 = 0. Calculate m.
3, 10, 43
Factor -4*i**2/3 + 25456*i/3 - 40500496/3.
-4*(i - 3182)**2/3
Determine w, given that -8*w**5 + 52*w**4 - 20*w**3 - 248*w**2 + 208*w + 160 = 0.
-2, -1/2, 2, 5
Factor 2*p**2 + 4724*p + 2789522.
2*(p + 1181)**2
Factor 5*c**5/6 + 415*c**4/6 + 8815*c**3/6 + 8405*c**2/6.
5*c**2*(c + 1)*(c + 41)**2/6
Let -c**3/6 - c**2/3 + 7*c/6 - 2/3 = 0. What is c?
-4, 1
What is z in 4*z**3 - 52*z**2 + 24*z + 288 = 0?
-2, 3, 12
Find n such that 2*n**2 - 132*n - 414 = 0.
-3, 69
Suppose 2*j**2 - 7516*j + 15024 = 0. What is j?
2, 3756
Factor -5*c**2/3 - 3*c.
-c*(5*c + 9)/3
Determine x so that x**3/4 + x**2/4 - 9*x/4 - 9/4 = 0.
-3, -1, 3
Let 153*r**5 + 1221*r**4 + 3495*r**3 + 4215*r**2 + 1752*r - 36 = 0. What is r?
-3, -2, -1, 1/51
Solve -4*t**5 - 48*t**4 - 224*t**3 - 512*t**2 - 576*t - 256 = 0.
-4, -2
Factor -h**3 - 18*h**2/5 - 7*h/5 + 6/5.
-(h + 1)*(h + 3)*(5*h - 2)/5
Factor -2*z**3/19 - 16*z**2/19 - 26*z/19 - 12/19.
-2*(z + 1)**2*(z + 6)/19
Factor -4*s**4 - 268*s**3.
-4*s**3*(s + 67)
Solve -82*c**3/13 - 412*c**2/13 + 482*c/13 + 12/13 = 0 for c.
-6, -1/41, 1
Factor -3*b**3 + 48*b**2 - 45*b.
-3*b*(b - 15)*(b - 1)
Find r, given that r**4/7 + 524*r**3/7 + 69683*r**2/7 + 271960*r/7 + 202800/7 = 0.
-260, -3, -1
Solve l**4 - 69*l**3 + 66*l**2 + 136*l = 0.
-1, 0, 2, 68
Find v, given that 6*v**3 - 100*v**2 - 538*v - 168 = 0.
-4, -1/3, 21
Factor 548*k**3 - 262*k**2 + 113*k/4 + 3/4.
(4*k - 1)**2*(137*k + 3)/4
Factor -4*z**3 - 40*z**2 - 100*z.
-4*z*(z + 5)**2
Solve a**3/4 - 399*a**2 + 212268*a - 37642192 = 0 for a.
532
Find v, given that -3*v**3 + 156*v**2 - 2028*v = 0.
0, 26
Let -3*u**5/5 - 3*u**4/5 + 3*u**3/5 + 3*u**2/5 = 0. Calculate u.
-1, 0, 1
Factor 350*o**3 - 290*o**2 - 402*o/7 - 18/7.
2*(o - 1)*(35*o + 3)**2/7
Solve 39*l**2/2 - 69*l - 36 = 0.
-6/13, 4
Find i, given that -2*i**5/7 + 12*i**4/7 + 50*i**3/7 + 36*i**2/7 = 0.
-2, -1, 0, 9
Factor 3*g**3 - 639*g**2 + 32373*g + 178215.
3*(g - 109)**2*(g + 5)
Solve 2*m**2/3 - 218*m/3 + 212 = 0 for m.
3, 106
Suppose -2*n**2/13 + 2404*n/13 - 2402/13 = 0. Calculate n.
1, 1201
Let 8*l**2 + 18*l + 4 = 0. What is l?
-2, -1/4
Factor -11*z**2/3 + 20*z - 76/3.
-(z - 2)*(11*z - 38)/3
Factor y**4 + 12*y**3 + 23*y**2 - 36*y.
y*(y - 1)*(y + 4)*(y + 9)
Solve 4*t**4/3 + 280*t**3/3 - 1024*t**2 + 10112*t/3 - 10240/3 = 0 for t.
-80, 2, 4
Factor 2*u**2 - 88*u + 968.
2*(u - 22)**2
Let -z**4/2 - z**3/2 + 7*z**2/2 + z/2 - 3 = 0. Calculate z.
-3, -1, 1, 2
Factor 4*y**3 + 684*y**2 + 25116*y - 364364.
4*(y - 11)*(y + 91)**2
Suppose 6*f**4 - 39*f**3 - 795*f**2 + 423*f + 405 = 0. What is f?
-9, -1/2, 1, 15
What is c in -2*c**2/13 - 616*c/13 - 47432/13 = 0?
-154
Factor -4*a**3 + 176*a**2 - 164*a - 344.
-4*(a - 43)*(a - 2)*(a + 1)
Factor -j**2/11 - 145*j/11 + 750/11.
-(j - 5)*(j + 150)/11
Factor -2*m**3/11 + 54*m**2/11.
-2*m**2*(m - 27)/11
Factor -3*q**2/4 - 111*q/2 - 4107/4.
-3*(q + 37)**2/4
Factor -4*j**4 - 236*j**3 - 3588*j**2 - 2900*j + 6728.
-4*(j - 1)*(j + 2)*(j + 29)**2
Suppose -2*t**4 + 40*t**3 + 206*t**2 - 1660*t + 2208 = 0. What is t?
-8, 2, 3, 23
Factor y**4 - 46*y**3.
y**3*(y - 46)
Factor -r**3/4 - 5*r**2/2 - 25*r/4.
-r*(r + 5)**2/4
Find d, given that -12*d**3/7 - 39*d**2/7 + 207*d/7 + 54/7 = 0.
-6, -1/4, 3
Factor 2*h**2/7 - 8*h/7 - 10/7.
2*(h - 5)*(h + 1)/7
Factor -m**4/7 - 149*m**3/7 + 930*m**2/7.
-m**2*(m - 6)*(m + 155)/7
Solve 2*p**3/5 + 8*p**2 + 40*p = 0.
-10, 0
Factor k**2 - 113*k + 222.
(k - 111)*(k - 2)
Factor 72*r**4 + 336*r**3 - 118*r**2 + 10*r.
2*r*(r + 5)*(6*r - 1)**2
Determine v so that 21*v**5/2 - 65*v**4/2 + 27*v**3/2 + 61*v**2/2 - 24*v + 2 = 0.
-1, 2/21, 1, 2
Factor -f**2 - 17*f + 18.
-(f - 1)*(f + 18)
Let -9*v**4 - 60*v**3 + 183*v**2 - 54*v = 0. Calculate v.
-9, 0, 1/3, 2
Find o, given that 14*o**5/25 - 58*o**4/5 + 28*o**3 - 56*o**2/5 - 144*o/25 = 0.
-2/7, 0, 1, 2, 18
Determine l, given that l**3/3 + 66*l**2 + 197*l/3 = 0.
-197, -1, 0
Determine x, given that 2*x**3/9 + 34*x**2/9 + 62*x/9 + 10/3 = 0.
-15, -1
Factor 4*f**2 - 12*f + 8.
4*(f - 2)*(f - 1)
Let k**3/3 - k**2 - 16*k/3 - 4 = 0. Calculate k.
-2, -1, 6
Factor 2*j**2/3 - 842*j/3 - 564.
2*(j - 423)*(j + 2)/3
Find g, given that -16*g**5 - 116*g**4 - 300*g**3 - 340*g**2 - 164*g - 24 = 0.
-3, -2, -1, -1/4
Factor 4*a**4 - 32*a**3 - 4*a**2 + 272*a - 336.
4*(a - 7)*(a - 2)**2*(a + 3)
Factor -f**3 - 92*f**2 + 187*f - 94.
-(f - 1)**2*(f + 94)
Let -w**5/3 + 10*w**4 + 83*w**3 + 370*w**2/3 = 0. Calculate w.
-5, -2, 0, 37
Factor -3*y**3 - 495*y**2 - 486*y + 984.
-3*(y - 1)*(y + 2)*(y + 164)
Factor -3*l**2/5 - 448*l/5 + 60.
-(l + 150)*(3*l - 2)/5
Find l, given that 3*l**5 - 189*l**4 + 723*l**3 - 891*l**2 + 354*l = 0.
0, 1, 2, 59
Suppose -15*h**4 + 50*h**3 + 120*h**2 + 30*h - 25 = 0. What is h?
-1, 1/3, 5
Factor 28*r**4 + 36*r**3 - 48*r**2 - 16*r.
4*r*(r - 1)*(r + 2)*(7*r + 2)
Factor -5*g**2 - 875*g + 2670.
-5*(g - 3)*(g + 178)
Suppose -24*x**5 + 100*x**4 - 128*x**3 + 48*x**2 = 0. What is x?
0, 2/3, 3/2, 2
Determine d so that -5*d**3 - 21990*d**2 = 0.
-4398, 0
Factor 2*u**2 + 266*u + 264.
2*(u + 1)*(u + 132)
Factor 3*v**4/8 - 9*v**3/4 - 45*v**2/8 + 57*v - 90.
3*(v - 4)**2*(v - 3)*(v + 5)/8
Let 2*l**3/9 + 8*l**2/9 - 130*l/9 + 88/3 = 0. Calculate l.
-11, 3, 4
Suppose -5*t**4 - 40*t**3 - 35*t**2 + 180*t + 180 = 0. Calculate t.
-6, -3, -1, 2
Solve x**3 + 10*x**2 - x - 10 = 0.
-10, -1, 1
Factor 5*n**3 - 75*n**2 + 135*n - 65.
5*(n - 13)*(n - 1)**2
Solve 45*p**4 - 200*p**2 + 80 = 0.
-2, -2/3, 2/3, 2
Factor -81*d**4 + 774*d**3 - 2713*d**2 + 4128*d - 2304.
-(d - 3)**2*(9*d - 16)**2
Factor -3*o**2 - 1158*o + 2328.
-3*(o - 2)*(o + 388)
Factor -4*x**5/7 - 1376*x**4/7 - 116952*x**3/7 + 238048*x**2/7 - 119716*x/7.
-4*x*(x - 1)**2*(x + 173)**2/7
Factor 4*v**4 - 4*v**2.
4*v**2*(v - 1)*(v + 1)
Suppose 6*n**3/5 - 39*n**2/5 - 21*n/5 = 0. Calculate n.
-1/2, 0, 7
Factor 22*d**2/23 - 1228*d/23 - 224/23.
2*(d - 56)*(11*d + 2)/23
Determine r, given that 25*r**4 + 1060*r**3 - 4080*r**2 + 2800*r + 1840 = 0.
-46, -2/5, 2
Suppose -2*x**5/5 - 46*x**4/5 - 348*x**3/5 - 180*x**2 - 162*x/5 + 1458/5 = 0. Calculate x.
-9, -3, 1
Find a, given that -a**2 - 253*a - 1240 = 0.
-248, -5
Find x such that x**2/5 + 53*x - 534/5 = 0.
-267, 2
Factor -4*f**3 + 12*f**2 + 900*f + 884.
-4*(f - 17)*(f + 1)*(f + 13)
Factor 5*g**3 - 125*g**2 + 820*g - 700.
5*(g - 14)*(g - 10)*(g - 1)
Determine v, given that -v**5/2 + 5*v**4/2 - v**3 - 7*v**2 + 3*v/2 + 9/2 = 0.
-1, 1, 3
Factor 4*d**2/3 - 1760*d/3 + 193600/3.
4*(d - 220)**2/3
Solve 5*m**5/4 - 35*m**4/4 + 45*m**3/4 + 35*m**2/4 - 25*m/2 = 0 for m.
-1, 0, 1, 2, 5
Factor -12*m**2/7 + 59744*m/7 - 39824/7.
-4*(m - 4978)*(3*m - 2)/7
Factor z**4/5 - 27*z**3/5 - 119*z**2/5 - 153*z/5 - 62/5.
(z - 31)*(z + 1)**2*(z + 2)/5
Factor -4*y**2 + 88*y.
-4*y*(y - 22)
Factor -4*m**2 - 592*m - 21904.
-4*(m + 74)**2
Determine w, given that 14*w**3 + 142*w**2 + 146*w + 18 = 0.
-9, -1, -1/7
Find w, given that 20*w**4/7 - 467*w**3/7 + 1955*w**2/7 - 492*w/7 - 540/7 = 0.
-2/5, 3/4, 5, 18
Let -4*i**2 + 68*i + 152 = 0. Calculate i.
-2, 19
Factor -844596301*d**5/7 + 138458410*d**4/7 - 9079240*d**3/7 + 297680*d**2/7 - 4880*d/7 + 32/7.
-(61*d - 2)**5/7
Factor -3*m**2 - 351*m - 348.
-3*(m + 1)*(m + 116)
What is d in 2*d**3/17 + 48*d**2/17 - 2*d/17 - 48/17 = 0?
-24, -1, 1
Suppose 2*l**2/11 - 496*l/11 + 30752/11 = 0. What is l?
124
Determine v so that -2*v**2/3 + 52*v + 158/3 = 0.
-1, 79
Solve 2*y**3/5 + 8*y**2/5 - 2*y/5 - 8/5 = 0.
-4, -1, 1
Factor f**3/3 - 61*f**2/3 - 42*f.
f*(f - 63)*(f + 2)/3
Let -4*m**2 + 540*m + 544 = 0. What is m?
-1, 136
Factor 12*s**2 - 375*s + 93.
3*(s - 31)*(4*s - 1)
Find y such that -y**3/3 + 4*y**2/3 + 4*y = 0.
-2, 0, 6
Determine k, given that -k**4 + 12*k**3 - 43*k**2 + 60*k - 28 = 0.
1,