35*x**4/3 + 75*x**3 + 175*x**2/3 - 280*x/3 + 20 = 0.
-1, 3/11, 1, 2
Factor 65*m**2 + 120*m - 20.
5*(m + 2)*(13*m - 2)
Find o, given that -3*o**2 - 1950*o + 1953 = 0.
-651, 1
Determine s so that -2*s**4/7 - 2*s**3/7 + 6*s**2/7 + 2*s/7 - 4/7 = 0.
-2, -1, 1
Factor -450*s**5 + 1020*s**4 - 698*s**3 + 136*s**2 - 8*s.
-2*s*(s - 1)**2*(15*s - 2)**2
Factor 2*w**3 + 28*w**2/3 + 38*w/3 + 16/3.
2*(w + 1)**2*(3*w + 8)/3
Find q, given that -3*q**4/2 - 69*q**3/2 - 189*q**2/2 - 183*q/2 - 30 = 0.
-20, -1
Factor 4*g**2 + 192*g + 188.
4*(g + 1)*(g + 47)
Factor -v**3/4 - 21*v**2/4 + 11*v/2.
-v*(v - 1)*(v + 22)/4
Suppose 105*l**5 + 5030*l**4 + 60000*l**3 - 5760*l**2 = 0. Calculate l.
-24, 0, 2/21
Factor 4*g**3 + 188*g**2 - 388*g + 196.
4*(g - 1)**2*(g + 49)
Factor 3*v**4/2 - 389*v**3/6 + 232*v**2/3 - 14*v.
v*(v - 42)*(v - 1)*(9*v - 2)/6
Solve 16*r**3/9 + 118*r**2/9 + 280*r/9 + 24 = 0 for r.
-27/8, -2
Factor 5*j**2 + 560*j + 14400.
5*(j + 40)*(j + 72)
Factor 4*y**2/5 - 3432*y/5 + 736164/5.
4*(y - 429)**2/5
Factor -k**5/5 - 577*k**4/5 - 1151*k**3/5 - 115*k**2.
-k**2*(k + 1)**2*(k + 575)/5
Factor 9*g**4 - 83*g**3 + 18*g**2.
g**2*(g - 9)*(9*g - 2)
Factor -4*l**3/3 + 64*l**2/3 + 140*l/3 + 24.
-4*(l - 18)*(l + 1)**2/3
Factor 2*p**2 + 24*p + 22.
2*(p + 1)*(p + 11)
Let -5*c**2 + 660*c - 21780 = 0. What is c?
66
Factor -j**3/3 - 4*j**2/3 - 4*j/3.
-j*(j + 2)**2/3
Suppose 2*t**5/13 - 42*t**4/13 + 76*t**3/13 = 0. Calculate t.
0, 2, 19
Factor -4*t**2 - 2804*t - 2800.
-4*(t + 1)*(t + 700)
Factor -a**5/12 + a**3/12.
-a**3*(a - 1)*(a + 1)/12
Let -4*k**2 - 80*k - 76 = 0. What is k?
-19, -1
Determine i, given that -i**2 + 35*i + 36 = 0.
-1, 36
What is n in -3*n**4 + 27*n**3 + 45*n**2 - 159*n + 90 = 0?
-3, 1, 10
Let -4*n**5/5 + 16*n**4/5 + 28*n**3/5 - 136*n**2/5 + 96*n/5 = 0. What is n?
-3, 0, 1, 2, 4
Let -m**2/6 + 7*m/3 - 11/2 = 0. What is m?
3, 11
Factor 2*t**2/11 - 3140*t/11 + 1232450/11.
2*(t - 785)**2/11
Solve 2*q**5 + 14*q**4 + 30*q**3 + 26*q**2 + 8*q = 0 for q.
-4, -1, 0
Find l such that -l**3/6 + 5*l**2/6 - l/2 - 3/2 = 0.
-1, 3
Factor 3*j**4 + 9*j**3 + 9*j**2 + 3*j.
3*j*(j + 1)**3
Factor 3*c**2/4 - 699*c/4 - 351/2.
3*(c - 234)*(c + 1)/4
Factor 2*d**4/3 - 304*d**3/3.
2*d**3*(d - 152)/3
Factor i**3/6 + 31*i**2/6 + 31*i - 84.
(i - 2)*(i + 12)*(i + 21)/6
Factor -t**2 - 4*t + 5.
-(t - 1)*(t + 5)
Let 2*s**5/5 + 158*s**4/3 - 274*s**3/15 - 1318*s**2/15 + 268*s/15 + 176/5 = 0. Calculate s.
-132, -1, -2/3, 1
Let 3*a**4/2 - 27*a**3/2 + 39*a**2 - 36*a = 0. Calculate a.
0, 2, 3, 4
Let -50*i**3 - 465*i**2 - 900*i + 875 = 0. Calculate i.
-5, 7/10
Factor 9*a**3 - 907*a**2 - 202*a.
a*(a - 101)*(9*a + 2)
Solve d**3/5 + 21*d**2/5 + 56*d/5 + 36/5 = 0 for d.
-18, -2, -1
Let 3*g**5 - 9*g**4 - 6*g**3 + 18*g**2 + 3*g - 9 = 0. Calculate g.
-1, 1, 3
Factor 3*j**4/4 + 3*j**3/4 - 9*j**2/4 - 3*j/4 + 3/2.
3*(j - 1)**2*(j + 1)*(j + 2)/4
Factor 4*c**2 + 7200*c.
4*c*(c + 1800)
Determine l so that l**3/2 - 12*l**2 + 42*l + 392 = 0.
-4, 14
Factor q**2/3 - 100*q/3 + 33.
(q - 99)*(q - 1)/3
Factor 3*q**3 + 21*q**2/4 - 3*q/2.
3*q*(q + 2)*(4*q - 1)/4
Factor 9*m**2/4 - 688*m - 153.
(m - 306)*(9*m + 2)/4
Factor 21*h**2/4 - 3735*h/2 - 534.
3*(h - 356)*(7*h + 2)/4
Solve 4*t**4 + 44*t**3 + 140*t**2 + 100*t = 0.
-5, -1, 0
Suppose -16*f**5 - 36*f**4 + 8*f**3 + 36*f**2 + 8*f = 0. Calculate f.
-2, -1, -1/4, 0, 1
What is p in -3*p**2/7 + 4*p/7 - 1/7 = 0?
1/3, 1
Solve -x**4 + x**3 + 2*x**2 = 0.
-1, 0, 2
What is p in 4*p**2/3 + 280*p/3 + 92 = 0?
-69, -1
Factor 2*f**2/13 + 14*f/13.
2*f*(f + 7)/13
Factor -5*l**4 - 30*l**3 + 215*l**2 + 1500*l + 1260.
-5*(l - 7)*(l + 1)*(l + 6)**2
Factor -q**3/2 + 27*q**2/2 - 25*q.
-q*(q - 25)*(q - 2)/2
Solve -5*y**5 - 65*y**4 - 210*y**3 + 160*y**2 + 1120*y = 0.
-7, -4, 0, 2
Find v, given that 4*v**2 + 1788*v - 1792 = 0.
-448, 1
Factor 5*z**4 - 25*z**3 - 60*z**2 + 380*z - 400.
5*(z - 5)*(z - 2)**2*(z + 4)
What is m in 9*m**5 - 15*m**4 - 66*m**3 + 156*m**2 - 72*m = 0?
-3, 0, 2/3, 2
Find n such that -4*n**2 - 104*n - 676 = 0.
-13
Factor -d**2/8 - 29*d/8 - 39/4.
-(d + 3)*(d + 26)/8
Suppose -3*o**3 - 48*o**2 - 39*o + 90 = 0. Calculate o.
-15, -2, 1
Solve -b**3/6 - 139*b**2/2 - 19321*b/2 - 2685619/6 = 0.
-139
Factor 4*f**3 - 1336*f**2 + 111556*f.
4*f*(f - 167)**2
Factor -2*l**2 + 940*l - 110450.
-2*(l - 235)**2
Factor -4*i**2/11 - 2*i/11 + 12/11.
-2*(i + 2)*(2*i - 3)/11
Factor l**3/2 + 9*l**2 - 61*l/2 + 21.
(l - 2)*(l - 1)*(l + 21)/2
Determine t, given that 3*t**3 + 162*t**2 + 2340*t + 4056 = 0.
-26, -2
Suppose y**4/4 + 10*y**3 + 399*y**2/4 + 233*y + 143 = 0. What is y?
-26, -11, -2, -1
Suppose -18*h**5/7 + 26*h**4/7 + 10*h**3/7 - 26*h**2/7 + 8*h/7 = 0. Calculate h.
-1, 0, 4/9, 1
Suppose -j**2/7 + 132*j/7 + 19 = 0. Calculate j.
-1, 133
Factor i**4/4 + 31*i**3/4 + 253*i**2/4 + 165*i/4 - 225/2.
(i - 1)*(i + 2)*(i + 15)**2/4
Find t such that 5*t**2 + 95*t - 460 = 0.
-23, 4
Suppose 98*u**4/11 - 7112*u**3/11 + 4040*u**2/11 - 576*u/11 = 0. Calculate u.
0, 2/7, 72
Factor -5*n**2 + 4170*n - 869445.
-5*(n - 417)**2
Suppose 20*r**5 + 5*r**4 - 40*r**3 - 10*r**2 + 20*r + 5 = 0. What is r?
-1, -1/4, 1
Determine c so that -c**5 + 21*c**4 - 123*c**3 + 187*c**2 - 84*c = 0.
0, 1, 7, 12
What is s in s**3/3 + 146*s**2/3 - 445*s/3 + 298/3 = 0?
-149, 1, 2
Determine i so that -2*i**4 + 24*i**3 - 42*i**2 + 20*i = 0.
0, 1, 10
Factor -5*l**4 + 7*l**3 + 8*l**2 - 4*l.
-l*(l - 2)*(l + 1)*(5*l - 2)
Factor 3*b**2 + 195*b.
3*b*(b + 65)
Factor q**2 + 32*q + 112.
(q + 4)*(q + 28)
Factor -50*d**4/9 - 140*d**3/9 - 88*d**2/9 - 16*d/9.
-2*d*(d + 2)*(5*d + 2)**2/9
Factor -2*s**3/11 + 6*s**2/11 + 8*s/11 - 24/11.
-2*(s - 3)*(s - 2)*(s + 2)/11
Find p, given that -3*p**3/7 - 3*p**2/7 + 51*p/7 - 45/7 = 0.
-5, 1, 3
Factor -r**3/2 - 45*r**2 + 277*r/2 - 93.
-(r - 2)*(r - 1)*(r + 93)/2
Solve -3*p**4 - 147*p**3 - 666*p**2 + 4524*p - 5160 = 0.
-43, -10, 2
Solve 9*l**4 - 453*l**3/2 + 2289*l**2/2 - 3447*l/2 + 513/2 = 0.
1/6, 3, 19
Factor 3*l**3 - 522*l**2 + 22707*l.
3*l*(l - 87)**2
Determine q so that 5*q**5 - 80*q**4 + 195*q**3 + 20*q**2 - 260*q = 0.
-1, 0, 2, 13
Factor n**2/5 - 2608*n/5 + 1700416/5.
(n - 1304)**2/5
Factor -n**4/3 - 47*n**3/3 - 44*n**2/3 + 92*n/3.
-n*(n - 1)*(n + 2)*(n + 46)/3
Factor f**2/2 - 433*f + 187489/2.
(f - 433)**2/2
Let -2*y**4/7 + 36*y**2/7 - 64*y/7 + 30/7 = 0. What is y?
-5, 1, 3
Let -h**3 + 94*h**2 - 2537*h + 14792 = 0. Calculate h.
8, 43
Solve 4*m**2 - 68*m = 0.
0, 17
Let 75*p**3 + 1260*p**2 + 972*p + 192 = 0. What is p?
-16, -2/5
Solve 15*d**4 + 335*d**3 + 710*d**2 + 200*d = 0 for d.
-20, -2, -1/3, 0
Suppose -16*z**5 + 164*z**4 + 24*z**3 - 656*z**2 + 160*z = 0. Calculate z.
-2, 0, 1/4, 2, 10
Determine u, given that -2*u**3/7 + 18*u**2/7 - 54*u/7 + 54/7 = 0.
3
Let -2*n**2/9 + 5200*n/9 = 0. What is n?
0, 2600
Factor 3*x**4/8 - 81*x**3/4 + 153*x**2/8 + 159*x/4.
3*x*(x - 53)*(x - 2)*(x + 1)/8
Factor 2*n**5/9 - 8*n**4 + 572*n**3/9 + 152*n**2 + 722*n/9.
2*n*(n - 19)**2*(n + 1)**2/9
Let -2*u**2/5 - 146*u/15 = 0. Calculate u.
-73/3, 0
Suppose -2*c**4/5 - 2278*c**3/5 - 129504*c**2 + 129960*c = 0. Calculate c.
-570, 0, 1
Determine d so that -5*d**4 + 1415*d**3 - 20475*d**2 + 101125*d - 167500 = 0.
5, 268
Factor -f**2/3 - 29*f/3 + 240.
-(f - 16)*(f + 45)/3
Factor -2*b**2 - 22*b - 48.
-2*(b + 3)*(b + 8)
Find d, given that -2*d**5 - 16*d**4 + 38*d**3 - 20*d**2 = 0.
-10, 0, 1
Let -3240*c**3 + 2876*c**2 - 612*c - 8 = 0. Calculate c.
-1/81, 2/5, 1/2
Factor 2*n**3/11 + 172*n**2/11 + 664*n/11 + 656/11.
2*(n + 2)**2*(n + 82)/11
Find p, given that -5*p**5 - 155*p**4 - 150*p**3 = 0.
-30, -1, 0
Let 4*f**3 - 456*f**2 + 7812*f = 0. What is f?
0, 21, 93
Find d such that d**2/4 + 27*d/4 + 91/2 = 0.
-14, -13
Factor 3*b**3/5 - 30*b**2.
3*b**2*(b - 50)/5
Suppose -2*l**2/11 + 1136*l/11 - 161312/11 = 0. Calculate l.
284
Suppose -3*o**3 + 63*o**2 + 315*o - 375 = 0. Calculate o.
-5, 1, 25
Suppose 5*j**5 + 30*j**4 - 180*j**3 + 200*j**2 = 0. What is j?
-10, 0, 2
What is f in f**3 - 24*f**2 - f + 24 = 0?
-1, 1, 24
Suppose -s**3 + 13*s**2 - 54*s + 72 = 0. What is s?
3, 4, 6
Determine j so that 28*j**5 - 20*j**4 - 92*j**3 + 116*j**2 - 16*j - 16 = 0.
-2, -2/7, 1
Factor -5*y**4/4 - 45*y**3/2 + 295*y**2/4 + 1575*y - 6125.
-5*(y - 5)**2*(y + 14)**2/4
Find i, given that 2*i**5 - 3*i**4 - 8*i**3 - 3*i**2 = 0.
-1, -1/2, 0, 3
Factor 4*r**4 + 48*r**3 - 4*r**2 -