uppose -22*r**5/13 + 48*r**4/13 + 72*r**3/13 - 160*r**2/13 = 0. Calculate r.
-20/11, 0, 2
Solve 2*g**3/3 + 6*g**2 + 28*g/3 = 0.
-7, -2, 0
Determine x so that -2*x**5/15 + 8*x**4/3 - 74*x**3/15 - 1148*x**2/15 - 2264*x/15 - 1232/15 = 0.
-2, -1, 11, 14
Solve 16*n**5 + 40*n**4 - 39*n**3 - 37*n**2 + 23*n - 3 = 0 for n.
-3, -1, 1/4, 1
Solve 307*t**3 - 920*t**2/3 - t/3 = 0.
-1/921, 0, 1
Factor 2*x**2/7 - 48*x/7 + 34.
2*(x - 17)*(x - 7)/7
Factor -2*a**4 - 12*a**3 + 210*a**2 - 196*a.
-2*a*(a - 7)*(a - 1)*(a + 14)
Factor -2*f**2/13 - 88*f/13 - 518/13.
-2*(f + 7)*(f + 37)/13
Factor -3*r**3/4 + 3*r**2.
-3*r**2*(r - 4)/4
Factor 125*i**5 - 850*i**4 + 860*i**3 + 1928*i**2 + 896*i + 128.
(i - 4)**2*(5*i + 2)**3
Find b such that 16*b**3 - 14*b**2 + 3*b = 0.
0, 3/8, 1/2
What is h in h**2 - 33*h + 62 = 0?
2, 31
Factor 14*m**3 + 298*m**2 + 364*m + 80.
2*(m + 1)*(m + 20)*(7*m + 2)
Let -27*g**3/5 - 1329*g**2/5 + 3918*g/5 + 936/5 = 0. What is g?
-52, -2/9, 3
Factor -6*q**2/5 - 163*q/5 + 70.
-(q - 2)*(6*q + 175)/5
Factor 74*k**5 + 295*k**4 + 292*k**3 - 4*k**2.
k**2*(k + 2)**2*(74*k - 1)
Factor l**4/5 + 283*l**3/5 + 20163*l**2/5 + 19881*l/5.
l*(l + 1)*(l + 141)**2/5
Factor -14*i**3 - 44*i**2 - 8*i + 48.
-2*(i + 2)**2*(7*i - 6)
Solve 5*t**5 + 20*t**4 - 35*t**3 - 50*t**2 = 0.
-5, -1, 0, 2
Find c, given that 3*c**5/4 + 1419*c**4 + 3572073*c**3/4 + 185736426*c**2 - 754611792*c + 567980928 = 0.
-632, 1, 3
Factor 3*d**3/2 + 441*d**2 + 32850*d + 63948.
3*(d + 2)*(d + 146)**2/2
Factor 2*o**3/5 + 18*o**2/5 + 48*o/5 + 32/5.
2*(o + 1)*(o + 4)**2/5
Factor 3*l**2/2 - 72*l + 138.
3*(l - 46)*(l - 2)/2
Determine k so that 3*k**2 + 189*k = 0.
-63, 0
Determine k, given that -4*k**3/7 + 4916*k**2/7 + 4920*k/7 = 0.
-1, 0, 1230
Let 5*c**2 + 45*c + 70 = 0. Calculate c.
-7, -2
Find n, given that -4*n**2 - 364*n - 3240 = 0.
-81, -10
What is v in -4*v**3 + 580*v**2 + 8708*v + 31164 = 0?
-7, 159
Factor -4*q**5 - 788*q**4 - 55096*q**3 - 1568920*q**2 - 14898884*q - 44488276.
-4*(q + 7)**2*(q + 61)**3
Factor 5*r**4 - 95*r**3 - 100*r**2.
5*r**2*(r - 20)*(r + 1)
Find r, given that -r**5 - 182*r**4 - 1408*r**3 - 2784*r**2 = 0.
-174, -4, 0
Factor -2*b**3/5 + 1022*b**2/5 - 130048*b/5 - 131072/5.
-2*(b - 256)**2*(b + 1)/5
Suppose -3*o**2 - 354*o + 1845 = 0. What is o?
-123, 5
Determine x, given that -20*x**5 + 25*x**4 + 140*x**3 - 295*x**2 + 150*x = 0.
-3, 0, 1, 5/4, 2
Factor -3*c**3 + 579*c**2 + 2958*c + 2376.
-3*(c - 198)*(c + 1)*(c + 4)
Suppose m**2/4 + 67*m/4 - 150 = 0. Calculate m.
-75, 8
Determine m so that m**5 - m**4 - 18*m**3 + 28*m**2 + 56*m - 96 = 0.
-4, -2, 2, 3
Factor -b**3 - 5289*b**2 - 9324507*b - 5479701947.
-(b + 1763)**3
Suppose -12*i**3 + 411*i**2 + 5838*i - 1485 = 0. Calculate i.
-11, 1/4, 45
Factor 3*x**3/4 + 181*x**2/4 + 102*x + 29.
(x + 2)*(x + 58)*(3*x + 1)/4
Let 4*g**3 + 9*g**2 - 30*g - 8 = 0. What is g?
-4, -1/4, 2
Solve -4*f**2 - 116*f = 0 for f.
-29, 0
Solve -2*f**5/7 + 2*f**4 - 6*f**3/7 - 86*f**2/7 + 8*f + 120/7 = 0.
-2, -1, 2, 3, 5
Let 2*q**4/9 - 248*q**3/9 - 502*q**2/9 - 28*q = 0. Calculate q.
-1, 0, 126
Let g**2 - 31*g = 0. What is g?
0, 31
Factor a**2/7 + 75*a/7 + 74/7.
(a + 1)*(a + 74)/7
Factor -3*q**4/4 - 5*q**3/2 - q**2/4 + 3*q/2.
-q*(q + 1)*(q + 3)*(3*q - 2)/4
Factor -x**2/2 - 9*x/2 - 4.
-(x + 1)*(x + 8)/2
Suppose -8*l**5/3 - 242*l**4/3 - 884*l**3 - 4104*l**2 - 6804*l - 1458 = 0. Calculate l.
-9, -3, -1/4
What is k in -5*k**3 - 5*k**2 + 45*k + 45 = 0?
-3, -1, 3
Solve -5*s**5 - 105*s**4 - 740*s**3 - 1920*s**2 - 1280*s = 0.
-8, -4, -1, 0
Determine s so that -2*s**2/3 - 2156*s/3 - 581042/3 = 0.
-539
Factor 3*w**5/2 - 87*w**4/2 + 891*w**3/2 - 3645*w**2/2 + 2187*w.
3*w*(w - 9)**3*(w - 2)/2
Factor -q**3 - 113*q**2 + 229*q - 115.
-(q - 1)**2*(q + 115)
What is w in 10580*w**5 + 21620*w**4 + 11505*w**3 + 470*w**2 + 5*w = 0?
-1, -1/46, 0
Factor -35*k**3 - 3875*k**2 - 6520*k + 2180.
-5*(k + 2)*(k + 109)*(7*k - 2)
Factor 975*b**2 + 985*b + 10.
5*(b + 1)*(195*b + 2)
Factor -11*a**3/5 + 28*a**2/5 - 23*a/5 + 6/5.
-(a - 1)**2*(11*a - 6)/5
What is c in -4*c**2 + 68*c - 264 = 0?
6, 11
Determine f so that -2*f**3/3 - 39*f**2 + 20*f + 59/3 = 0.
-59, -1/2, 1
Factor f**2/9 - 944*f/3 + 222784.
(f - 1416)**2/9
Factor -i**2 - 1962*i - 962361.
-(i + 981)**2
Find r, given that -2*r**2 - 72*r - 648 = 0.
-18
Factor -k**3/5 + 4*k**2/5 + 3*k - 18/5.
-(k - 6)*(k - 1)*(k + 3)/5
Suppose 2*z**2/23 - 82*z/23 - 84/23 = 0. Calculate z.
-1, 42
Factor 2*y**3 - 86*y + 84.
2*(y - 6)*(y - 1)*(y + 7)
Suppose -5*u**2 + 50*u + 280 = 0. Calculate u.
-4, 14
Factor 3*x**5 + 15*x**4 + 24*x**3 + 12*x**2.
3*x**2*(x + 1)*(x + 2)**2
Factor -f**2/2 + 200*f - 398.
-(f - 398)*(f - 2)/2
Determine b, given that -2*b**3 + 84*b**2 + 174*b + 88 = 0.
-1, 44
Factor t**5/3 + 4*t**4/3 - 26*t**3/3 + 44*t**2/3 - 31*t/3 + 8/3.
(t - 1)**4*(t + 8)/3
Factor -3*q**4/8 - 81*q**3/8 - 75*q**2/4.
-3*q**2*(q + 2)*(q + 25)/8
Factor 4*d**3 + 320*d**2 - 988*d + 664.
4*(d - 2)*(d - 1)*(d + 83)
Factor s**2 - 4*s + 3.
(s - 3)*(s - 1)
Factor 2*c**3/5 - 54*c**2/5.
2*c**2*(c - 27)/5
Solve 4*x**4 - 28*x**3 + 48*x**2 + 16*x - 64 = 0 for x.
-1, 2, 4
Suppose -14*a**5 - 150*a**4 - 138*a**3 + 766*a**2 + 552*a - 216 = 0. Calculate a.
-9, -3, -1, 2/7, 2
Solve -20*p**4 + 2400*p**3 + 37255*p**2 + 35445*p + 8710 = 0 for p.
-13, -1/2, 134
Let 5*i**3 + 2400*i**2 + 290385*i + 571210 = 0. What is i?
-239, -2
Factor 2*i**2 + 182*i + 3596.
2*(i + 29)*(i + 62)
Suppose -16*n**2 + 1916*n + 480 = 0. Calculate n.
-1/4, 120
Factor 5*s**3 + 430*s**2 - 1780*s + 1800.
5*(s - 2)**2*(s + 90)
Determine l so that 3*l**5 + 48*l**4 + 243*l**3 + 366*l**2 - 156*l - 504 = 0.
-7, -6, -2, 1
Determine n so that -n**2 - 11*n - 24 = 0.
-8, -3
Suppose -4*y**2 - 156*y + 160 = 0. Calculate y.
-40, 1
Factor 15*v**3 - 6*v**2 - 15*v + 6.
3*(v - 1)*(v + 1)*(5*v - 2)
Suppose -28*s**5 - 1000*s**4 - 4024*s**3 + 2240*s**2 + 4052*s - 1240 = 0. What is s?
-31, -5, -1, 2/7, 1
Determine u, given that 3*u**3 + 189*u**2 + 2880*u - 3072 = 0.
-32, 1
Factor -2*i**3 - 92*i**2/5 - 158*i/5 - 28/5.
-2*(i + 2)*(i + 7)*(5*i + 1)/5
Find l, given that 16*l**2 - 1172*l + 292 = 0.
1/4, 73
Let b**4 + 8*b**3 + 22*b**2 + 24*b + 9 = 0. What is b?
-3, -1
Solve 5*g**4/2 + 379*g**3/4 - 39*g**2/2 - 379*g + 38 = 0 for g.
-38, -2, 1/10, 2
What is t in -5*t**4 + 80*t**3 + 15*t**2 - 250*t + 160 = 0?
-2, 1, 16
Find x, given that -3*x**5 - 36*x**4 - 102*x**3 + 36*x**2 + 105*x = 0.
-7, -5, -1, 0, 1
Solve 3*g**3/5 - 21*g**2/5 + 6*g = 0.
0, 2, 5
Find l, given that 5*l**5 - 425*l**4 + 415*l**3 + 425*l**2 - 420*l = 0.
-1, 0, 1, 84
Find m, given that -3*m**4 + 30*m**3 - 48*m**2 = 0.
0, 2, 8
Let -z**3/3 - 7*z**2 - 38*z/3 = 0. What is z?
-19, -2, 0
Suppose -3*k**5/5 + 28*k**4/5 - 12*k**3 - 2*k**2 + 63*k/5 - 18/5 = 0. What is k?
-1, 1/3, 1, 3, 6
Factor 5*s**2 - 110*s + 105.
5*(s - 21)*(s - 1)
Suppose -48*f**3/5 + 387*f**2/5 - 72*f + 21/5 = 0. What is f?
1/16, 1, 7
What is k in -4*k**2/3 - 164*k/3 + 176 = 0?
-44, 3
Find t, given that -2*t**2/19 - 20*t/19 + 22/19 = 0.
-11, 1
Factor -o**3/4 - 9*o**2/2 - 47*o/4 - 15/2.
-(o + 1)*(o + 2)*(o + 15)/4
Factor 2*y**5/9 - 2*y**4/3.
2*y**4*(y - 3)/9
Suppose -t**4/3 - 33*t**3 - 98*t**2/3 = 0. Calculate t.
-98, -1, 0
Factor -2*r**2/7 - 44*r - 1694.
-2*(r + 77)**2/7
Factor -4*a**3/5 - 6396*a**2/5 + 1280*a.
-4*a*(a - 1)*(a + 1600)/5
Find o such that -o**5 + 19*o**4 - 78*o**3 + 116*o**2 - 56*o = 0.
0, 1, 2, 14
Factor 5*d**2 + 285*d + 280.
5*(d + 1)*(d + 56)
Factor -s**4/4 - 233*s**3 - 162867*s**2/2 - 12649337*s - 2947295521/4.
-(s + 233)**4/4
Suppose 4*q**5 - 8*q**3 + 4*q = 0. Calculate q.
-1, 0, 1
Factor 4*y**3 + 20*y**2 - 52*y + 28.
4*(y - 1)**2*(y + 7)
Solve -v**3 + 92*v**2 - 2560*v + 19200 = 0 for v.
12, 40
Solve 3*c**4/5 - 3*c**3 - 15*c**2 + 39*c + 252/5 = 0.
-4, -1, 3, 7
What is z in z**4 - z**3 - 2*z**2 = 0?
-1, 0, 2
Factor -5*c**3 - 25*c**2 + 65*c - 35.
-5*(c - 1)**2*(c + 7)
Factor b**3/4 + 9*b**2/4 - b/4 - 9/4.
(b - 1)*(b + 1)*(b + 9)/4
Factor i**3/9 + 8*i**2/9 + 20*i/9 + 16/9.
(i + 2)**2*(i + 4)/9
Factor -3*h**2 + 36*h + 84.
-3*(h - 14)*(h + 2)
Factor -4*x**2 + 20040*x - 20036.
-4*(x - 5009)*(x - 1)
Find x such that x**5 + 13*x**4 - 17*x**3 - 41*x**2 + 16*x + 28 = 0.
-14, -1, 1, 2
Factor 10*m**2 + 1902*m/5 + 76/5.
2*(m + 38)*(25*m + 1)/5
Find t such that -3*t**5/5 - 3*t**4 + 9*t**3/5 + 39*t**2/5