Factor -p**3 - 89*p**2 - 2107*p - 5547.
-(p + 3)*(p + 43)**2
Factor 3*i**4 - 12*i**3 + 6*i**2 + 12*i - 9.
3*(i - 3)*(i - 1)**2*(i + 1)
Factor 2*c**2/7 + 1240*c/7 + 192200/7.
2*(c + 310)**2/7
Solve -48*m**4 + 76*m**3 + 928*m**2 - 556*m + 80 = 0.
-4, 1/4, 1/3, 5
Factor 3*d**4/2 - 3*d**3.
3*d**3*(d - 2)/2
Factor 2*q**4/11 + 14*q**3/11 + 2*q**2 + 10*q/11.
2*q*(q + 1)**2*(q + 5)/11
Determine v so that 2*v**4 - 364*v**3/5 + 3984*v**2/5 - 11776*v/5 + 4096/5 = 0.
2/5, 4, 16
Solve 8*h**5/5 - 26*h**4/5 - 138*h**3/5 + 36*h**2/5 = 0.
-3, 0, 1/4, 6
Find k, given that -2*k**2/7 - 84*k - 6174 = 0.
-147
Factor 2*z**4 + 6*z**3 - 176*z**2.
2*z**2*(z - 8)*(z + 11)
Determine o, given that -4*o**2 - 728*o - 33124 = 0.
-91
What is r in 4*r**3/5 + 456*r**2/5 + 452*r/5 = 0?
-113, -1, 0
What is j in 3*j**5/7 + 27*j**4/7 - 312*j**2/7 + 144*j/7 + 432/7 = 0?
-6, -1, 2
Determine i, given that -3*i**4/4 + 9*i**3 + 81*i**2/4 + 21*i/2 = 0.
-1, 0, 14
Factor -w**3/4 + 37*w**2/4 + 105*w/2.
-w*(w - 42)*(w + 5)/4
Find h such that 4*h**5 - 36*h**4 + 416*h**2 + 192*h - 576 = 0.
-2, 1, 6
Factor 5*x**4 - 1475*x**3 - 2965*x**2 - 1485*x.
5*x*(x - 297)*(x + 1)**2
Find j such that j**4/4 + 7*j**3/4 - 49*j**2/4 - 307*j/4 - 63 = 0.
-9, -4, -1, 7
Determine o, given that 3*o**4 - 171*o**3 + 1623*o**2 - 4905*o + 3450 = 0.
1, 5, 46
Let -6*p**5/5 - 6*p**4 - 136*p**3/15 - 32*p**2/15 + 64*p/15 + 32/15 = 0. What is p?
-2, -1, -2/3, 2/3
Suppose 5*o**2 - 75*o + 270 = 0. What is o?
6, 9
Let -2*w**3/5 + 18*w**2/5 + 24*w/5 - 8 = 0. Calculate w.
-2, 1, 10
Factor -v**2/2 - 76*v.
-v*(v + 152)/2
Find b, given that 2*b**4/5 + 308*b**3/5 - 1254*b**2/5 + 1576*b/5 - 632/5 = 0.
-158, 1, 2
Factor -j**2 - 603*j.
-j*(j + 603)
Let -123*z**2 + 1842*z + 45 = 0. What is z?
-1/41, 15
Suppose -s**3 - 14*s**2 - 40*s = 0. What is s?
-10, -4, 0
Determine q so that q**4/7 + 4*q**3/7 + 6*q**2/7 + 4*q/7 + 1/7 = 0.
-1
Factor 2*x**3/13 - 8*x**2/13.
2*x**2*(x - 4)/13
Determine z, given that -3*z**3/7 - 30*z**2/7 + 12*z/7 + 120/7 = 0.
-10, -2, 2
Solve 2*g**3 - 8*g**2 - 22*g - 12 = 0 for g.
-1, 6
Factor -2*q**3/13 - 398*q**2/13 - 788*q/13.
-2*q*(q + 2)*(q + 197)/13
Factor 6*o**4 + 580*o**3 + 382*o**2 - 192*o.
2*o*(o + 1)*(o + 96)*(3*o - 1)
Let 2*z**3 + 16*z**2 + 14*z = 0. Calculate z.
-7, -1, 0
Factor 5*c**4 - 810*c**3 + 32805*c**2.
5*c**2*(c - 81)**2
Factor 32*c**3 - 336*c**2 + 882*c - 686.
2*(c - 7)*(4*c - 7)**2
Factor d**3/2 + 37*d**2 + 73*d/2.
d*(d + 1)*(d + 73)/2
Factor 25*b**3/6 - 30*b**2 - 55*b/2 + 20/3.
5*(b - 8)*(b + 1)*(5*b - 1)/6
What is h in 7*h**2/4 - 13*h/2 + 6 = 0?
12/7, 2
Let -4*o**5/7 + 32*o**4/7 - 92*o**3/7 + 16*o**2 - 48*o/7 = 0. What is o?
0, 1, 2, 3
Factor -5*u**3 - 1735*u**2 + 20*u + 6940.
-5*(u - 2)*(u + 2)*(u + 347)
Factor -q**4/7 + 473*q**3/7 - 472*q**2/7.
-q**2*(q - 472)*(q - 1)/7
Factor 2*l**2/5 + 268*l/5 + 8978/5.
2*(l + 67)**2/5
Find n such that -2*n**2/9 + 8*n/9 + 10/9 = 0.
-1, 5
Let -5*f**3 - 35*f**2/3 + 10*f = 0. What is f?
-3, 0, 2/3
Factor -3*v**2/4 + 543*v/2 - 1083/4.
-3*(v - 361)*(v - 1)/4
Determine c, given that -22*c**5 - 92*c**4 + 94*c**3 + 20*c**2 = 0.
-5, -2/11, 0, 1
Factor -3*h**2 + 12984*h - 14048688.
-3*(h - 2164)**2
Factor 20*m**4 + 68*m**3 + 64*m**2 + 16*m.
4*m*(m + 1)*(m + 2)*(5*m + 2)
Find y such that -4*y**2/5 - 1592*y/5 - 1588/5 = 0.
-397, -1
What is w in -w**4/3 - 7*w**3/3 + 4*w**2 + 68*w/3 - 112/3 = 0?
-7, -4, 2
Factor h**5/9 - h**3/9.
h**3*(h - 1)*(h + 1)/9
Determine k so that 2*k**3 + 42*k**2 + 112*k + 72 = 0.
-18, -2, -1
Find k such that 10*k**3 + 14*k**2 - 416*k - 168 = 0.
-7, -2/5, 6
Find n such that 5*n**4 - 70*n**3 + 325*n**2 - 560*n + 300 = 0.
1, 2, 5, 6
Find m, given that 2*m**2/5 + 1256*m/5 + 1254/5 = 0.
-627, -1
Solve 6*f**5 + 2*f**4 - 28*f**3 - 8*f**2 + 16*f = 0 for f.
-2, -1, 0, 2/3, 2
Determine o, given that 4*o**4 + 4*o**3 - 356*o**2 + 924*o = 0.
-11, 0, 3, 7
Factor -d**3/6 + 47*d**2/2 - 69*d.
-d*(d - 138)*(d - 3)/6
Suppose 6*f**2 - 431*f + 2310 = 0. Calculate f.
35/6, 66
Factor 4*x**4/3 - 4*x**3 - 20*x**2 - 68*x/3 - 8.
4*(x - 6)*(x + 1)**3/3
Factor 2*f**3/5 - 558*f**2/5 - 2264*f/5.
2*f*(f - 283)*(f + 4)/5
Suppose 2*u**4/17 + 128*u**3/17 - 146*u**2/17 - 1016*u/17 + 1560/17 = 0. Calculate u.
-65, -3, 2
Factor -2*h**5/5 - 12*h**4/5 - 18*h**3/5.
-2*h**3*(h + 3)**2/5
Factor -15*v**3/2 - 21*v**2/2 - 3*v.
-3*v*(v + 1)*(5*v + 2)/2
Find w, given that -3*w**4/2 - 27*w**3 - 141*w**2/2 - 45*w = 0.
-15, -2, -1, 0
Let 4*w**2 + 6580*w + 13144 = 0. Calculate w.
-1643, -2
Let -p**3/3 + 265*p**2/3 + 4*p/3 - 1060/3 = 0. Calculate p.
-2, 2, 265
Solve -4*c**2/23 - 1898*c/23 - 2838/23 = 0 for c.
-473, -3/2
Determine y so that -2*y**4 - 134*y**3 + 140*y**2 + 272*y = 0.
-68, -1, 0, 2
Factor 28*n**4 - 40*n**3 + 12*n**2.
4*n**2*(n - 1)*(7*n - 3)
Factor -5*r**3 + 1115*r**2 + 2245*r + 1125.
-5*(r - 225)*(r + 1)**2
Factor -5*c**4/4 - 15*c**3/2 + 45*c**2/4 + 35*c/2.
-5*c*(c - 2)*(c + 1)*(c + 7)/4
Suppose -5*w**2/8 - 3*w/2 - 1/2 = 0. Calculate w.
-2, -2/5
Solve -9*x**3/8 + 903*x**2/4 - 2991*x/8 + 597/4 = 0 for x.
2/3, 1, 199
Let -26*h**3/17 + 30*h**2/17 - 4*h/17 = 0. Calculate h.
0, 2/13, 1
Determine r, given that r**2/3 + 65*r/3 + 272 = 0.
-48, -17
Factor -4*i**5 + 44*i**4 + 120*i**3 - 656*i**2 - 2336*i - 1920.
-4*(i - 12)*(i - 5)*(i + 2)**3
Determine a, given that 32*a**3 + 596*a**2 + 348*a - 216 = 0.
-18, -1, 3/8
Factor -4*r**2 + 176*r - 1900.
-4*(r - 25)*(r - 19)
Factor 2*n**2/25 - 658*n/25.
2*n*(n - 329)/25
Factor 4*h**2/3 + 956*h/3 - 320.
4*(h - 1)*(h + 240)/3
Suppose -2*z**3/15 + 404*z**2/15 + 1688*z/5 + 5136/5 = 0. Calculate z.
-6, 214
Factor -5*k**2 - 135*k - 460.
-5*(k + 4)*(k + 23)
Solve -y**3 - 44*y**2 - 525*y - 882 = 0 for y.
-21, -2
What is v in -6*v**2/17 + 4330*v/17 + 1444/17 = 0?
-1/3, 722
Determine d so that -5*d**2 + 730*d - 1440 = 0.
2, 144
Find v such that v**4/5 + 9*v**3/5 + 28*v**2/5 + 36*v/5 + 16/5 = 0.
-4, -2, -1
Solve -4*g**2 - 348*g + 1080 = 0.
-90, 3
Factor -4*o**4/7 - 72*o**3/7 + 240*o**2/7 - 248*o/7 + 12.
-4*(o - 1)**3*(o + 21)/7
Let 3*c**5/5 + 348*c**4/5 + 10434*c**3/5 + 19836*c**2/5 + 9747*c/5 = 0. Calculate c.
-57, -1, 0
Determine t, given that -4*t**5 - 168*t**4 - 1200*t**3 + 11552*t**2 - 26112*t + 18432 = 0.
-24, 2
Suppose -d**4/5 + 5*d**3 - 221*d**2/5 + 791*d/5 - 882/5 = 0. What is d?
2, 7, 9
Solve -44*f**5 + 3000*f**4 - 51364*f**3 + 6248*f**2 + 51408*f - 9248 = 0 for f.
-1, 2/11, 1, 34
Solve 24*g**4 - 2*g**3 = 0.
0, 1/12
What is t in -4*t**5 - 8*t**4 + 32*t**3 - 8*t**2 - 28*t + 16 = 0?
-4, -1, 1
Factor -5*a**5 - 45*a**4 - 105*a**3 - 95*a**2 - 30*a.
-5*a*(a + 1)**3*(a + 6)
Determine y so that -3*y**2/4 + 9*y/2 - 6 = 0.
2, 4
Factor -7*a**2 + 373*a - 106.
-(a - 53)*(7*a - 2)
Let -6*k**5 - 58*k**4 - 180*k**3 - 192*k**2 - 64*k = 0. Calculate k.
-4, -1, -2/3, 0
Suppose 88500*k**2 + 35440*k + 16 = 0. Calculate k.
-2/5, -2/4425
Suppose -18*f**5/5 + 162*f**4/5 + 842*f**3/5 + 1174*f**2/5 + 616*f/5 + 104/5 = 0. What is f?
-2, -1, -2/3, -1/3, 13
Factor -k**4 - 105*k**3 - 3675*k**2 - 42875*k.
-k*(k + 35)**3
Determine s so that -2*s**5/9 + 4*s**3/9 - 2*s/9 = 0.
-1, 0, 1
Solve -r**2 + 15*r + 34 = 0.
-2, 17
Suppose -k**3/3 - 16*k**2 - 45*k = 0. What is k?
-45, -3, 0
Let -z**4/2 - 4*z**3 - 12*z**2 - 16*z - 8 = 0. What is z?
-2
Find l, given that -6*l**5 - 15*l**4/2 + 57*l**3/2 - 21*l**2/2 - 9*l/2 = 0.
-3, -1/4, 0, 1
Factor -5*v**4 - 15*v**3 + 195*v**2 + 415*v + 210.
-5*(v - 6)*(v + 1)**2*(v + 7)
Find r such that -9*r**3/2 - 2445*r**2/2 - 1627*r/2 - 271/2 = 0.
-271, -1/3
Factor -3*u**2 - 2772*u - 640332.
-3*(u + 462)**2
Factor 3*t**4/8 + 9*t**3/4 - 45*t**2/8 + 3*t.
3*t*(t - 1)**2*(t + 8)/8
Let -57*j**4/2 - 231*j**3 - 480*j**2 - 48*j = 0. Calculate j.
-4, -2/19, 0
Solve -2*z**5/15 + 4*z**4/5 + 32*z**3/15 + 4*z**2/15 - 2*z - 16/15 = 0.
-1, 1, 8
Let 4*h**5 + 52*h**4 - 4*h**3 - 1060*h**2 + 2304*h - 1296 = 0. Calculate h.
-9, 1, 2
Solve -9*c**4/2 + 13*c**3/2 + 91*c**2/6 + 25*c/6 = 0 for c.
-1, -1/3, 0, 25/9
Suppose 8*h**5/7 + 6*h**4 - 46*h**3/7 - 342*h**2/7 - 46*h - 60/7 = 0. What is h?
-5, -2, -1, -1/4, 3
Factor -2*k**2/7 - 150*k/7 - 292/7.
-2*(k + 2)*(k + 73)/7
Factor 5*p**2/4 + 3115*p/2.
5*p*(p + 1246)/4
Factor 3*q**2 - 258*q.
3*q*(q - 86)
What is g in -2*g**2 + 40*g - 38 = 0?
1, 19
Suppose 6*s**3/7 - 144*s**2 - 2040*s/7 = 0. What is s?
-2, 0, 170
Factor 3*i**2 - 114*i + 7