s**2 + 1422*s - 27/2 = 0.
3/158
Solve 2*y**3 + 18*y**2 - 140*y = 0 for y.
-14, 0, 5
Factor -2*u**3/5 + 14*u**2/5 - 28*u/5 + 16/5.
-2*(u - 4)*(u - 2)*(u - 1)/5
Factor -3*w**3/2 + 3*w**2/4 + 6*w + 15/4.
-3*(w + 1)**2*(2*w - 5)/4
Find w, given that -325*w**5 - 730*w**4 - 478*w**3 - 64*w**2 + 11*w + 2 = 0.
-1, -1/5, 2/13
Factor 2*n**2/11 + 58*n/11 - 24.
2*(n - 4)*(n + 33)/11
Factor 2*m**3/3 - 16*m**2 + 96*m.
2*m*(m - 12)**2/3
Factor 2*m**2 + 740*m - 1488.
2*(m - 2)*(m + 372)
Factor 5*j**2 - 5*j - 10.
5*(j - 2)*(j + 1)
Let -3*w**5 - 282*w**4 - 1065*w**3 + 1350*w**2 = 0. What is w?
-90, -5, 0, 1
Suppose -i**3/7 - 106*i**2/7 + 107*i/7 = 0. Calculate i.
-107, 0, 1
Factor -2*q**3/7 - 80*q**2 - 38634*q/7 + 79524/7.
-2*(q - 2)*(q + 141)**2/7
What is r in 6*r**3/7 + 68*r**2/7 - 134*r/7 - 52/7 = 0?
-13, -1/3, 2
Solve 45*i**5 - 1185*i**4 + 2510*i**3 + 340*i**2 - 2440*i + 960 = 0 for i.
-1, 2/3, 2, 24
Factor -k**2 - 237*k + 238.
-(k - 1)*(k + 238)
Suppose -f**3/3 + 11*f**2/3 + 136*f/3 + 304/3 = 0. What is f?
-4, 19
Determine v so that 2*v**5 + 106*v**4/5 + 286*v**3/5 - 82*v**2/5 - 104*v + 40 = 0.
-5, -2, 2/5, 1
Determine z so that -5*z**5 - 690*z**4 - 23790*z**3 + 2080*z**2 + 72795*z + 47610 = 0.
-69, -1, 2
Let 5*x**2/4 - 7307*x/4 + 1461/2 = 0. Calculate x.
2/5, 1461
Find u such that 3*u**5 - 87*u**4 - 591*u**3 - 1329*u**2 - 1248*u - 420 = 0.
-2, -1, 35
Factor 12167*y**3/3 - 1058*y**2 + 92*y - 8/3.
(23*y - 2)**3/3
Let l**5/2 - 15*l**4/2 + 13*l**3/2 + 15*l**2/2 - 7*l = 0. Calculate l.
-1, 0, 1, 14
Find h, given that -45*h**4 + 35*h**3 + 1180*h**2 + 1340*h + 240 = 0.
-4, -1, -2/9, 6
Factor 4*r**4/7 - 1160*r**3/7 + 16128*r**2 - 3760128*r/7 + 7077888/7.
4*(r - 96)**3*(r - 2)/7
Factor 68*x**3 + 8*x**2 - 272*x - 32.
4*(x - 2)*(x + 2)*(17*x + 2)
Factor -3*v**2 - 39*v - 66.
-3*(v + 2)*(v + 11)
Determine p, given that 10*p**2/9 + 8*p/3 + 8/9 = 0.
-2, -2/5
Suppose -2*y**3/13 - 22*y**2/13 - 6*y - 90/13 = 0. Calculate y.
-5, -3
Factor -z**3/10 + 6*z**2 + 61*z/10.
-z*(z - 61)*(z + 1)/10
Find a, given that 2*a**3 - 194*a**2 - 402*a + 594 = 0.
-3, 1, 99
Suppose -7*v**4/5 - 71*v**3 + 109*v**2/5 + 71*v - 102/5 = 0. Calculate v.
-51, -1, 2/7, 1
Factor 3*d**2 + 93*d - 936.
3*(d - 8)*(d + 39)
Let c**5/5 - 6*c**4/5 + 13*c**3/5 - 12*c**2/5 + 4*c/5 = 0. What is c?
0, 1, 2
Factor -2*z**2/3 - 260*z/3 - 86.
-2*(z + 1)*(z + 129)/3
What is l in -l**4/2 - 79*l**3/2 - 1035*l**2/2 - 4925*l/2 - 4000 = 0?
-64, -5
Suppose 5*g**2 + 95*g + 170 = 0. What is g?
-17, -2
Factor -s**2/3 + 8038*s/3 - 16152361/3.
-(s - 4019)**2/3
Let 24*j**4/11 + 590*j**3/11 - 878*j**2/11 + 160*j/11 + 104/11 = 0. What is j?
-26, -1/4, 2/3, 1
Suppose -3*k**5/5 - 6*k**4 - 27*k**3/5 = 0. What is k?
-9, -1, 0
Factor -2*i**2/5 - 122*i/5.
-2*i*(i + 61)/5
Determine f so that -2*f**3/3 - 92*f**2/3 - 406*f - 1176 = 0.
-21, -4
Factor -5*n**4 - 40*n**3 - 105*n**2 - 110*n - 40.
-5*(n + 1)**2*(n + 2)*(n + 4)
Factor 7*z**3/8 - 55*z**2/8 + 41*z/8 + 7/8.
(z - 7)*(z - 1)*(7*z + 1)/8
Suppose 2*n**4 - 1026*n**3 + 134112*n**2 - 645160*n = 0. Calculate n.
0, 5, 254
Let 3456*f**3 - 8208*f**2 + 6498*f - 6859/4 = 0. Calculate f.
19/24
Find q, given that q**5 - 16*q**4 + 29*q**3 - 14*q**2 = 0.
0, 1, 14
Factor 2*h**2/5 - 664*h/5 + 55112/5.
2*(h - 166)**2/5
Factor -o**5 + 14*o**4 - 48*o**3 - 14*o**2 + 49*o.
-o*(o - 7)**2*(o - 1)*(o + 1)
Factor 2*x**3 + 56*x**2 + 106*x + 52.
2*(x + 1)**2*(x + 26)
What is c in -5*c**3/2 - 5*c**2/2 + 25*c - 20 = 0?
-4, 1, 2
Determine j so that 4*j**2 - 228*j + 2808 = 0.
18, 39
Factor -g**4/3 - 7*g**3/3 - 5*g**2 - 3*g.
-g*(g + 1)*(g + 3)**2/3
Factor -2*d**3/21 - 4*d**2/7 + 170*d/21 - 52/7.
-2*(d - 6)*(d - 1)*(d + 13)/21
Factor -75*l**4 - 170*l**3 - 349*l**2/3 - 68*l/3 - 4/3.
-(l + 1)**2*(15*l + 2)**2/3
Let 6*u**3 + 140*u**2/3 + 256*u/3 - 64/3 = 0. Calculate u.
-4, 2/9
Determine b, given that 2*b**3/3 + 524*b**2 + 1046*b + 1568/3 = 0.
-784, -1
Find c, given that -36*c**2 - 327*c - 27 = 0.
-9, -1/12
Factor -q**2/3 - 203*q/3.
-q*(q + 203)/3
Solve 4*s**3 + 19176*s**2 + 30643248*s + 16322636768 = 0 for s.
-1598
Find w such that w**4/3 + 9*w**3 + 91*w**2/3 - 9*w - 92/3 = 0.
-23, -4, -1, 1
Factor -3*k**3 - 120*k**2.
-3*k**2*(k + 40)
Factor -4*k**3 + 6*k**2 - 9*k/4.
-k*(4*k - 3)**2/4
What is l in 2*l**5 - 52*l**4 - 454*l**3 - 288*l**2 + 792*l = 0?
-6, -2, 0, 1, 33
Factor l**3/2 + 18*l**2 - 122*l + 168.
(l - 4)*(l - 2)*(l + 42)/2
Factor -2*h**2/15 - 2*h/15.
-2*h*(h + 1)/15
Factor -2*h**3/5 + 42*h**2/5 + 87*h/10 + 11/5.
-(h - 22)*(2*h + 1)**2/10
Factor j**3/3 + 65*j**2/3 + 127*j/3 + 21.
(j + 1)**2*(j + 63)/3
Factor 2*x**3/15 - 26*x**2/15 + 32*x/5 - 24/5.
2*(x - 6)**2*(x - 1)/15
Factor 3*q**3 - 2844*q**2 + 898704*q - 94663488.
3*(q - 316)**3
Factor s**4/5 + 33*s**3/5 - 204*s**2/5 - 532*s/5.
s*(s - 7)*(s + 2)*(s + 38)/5
Factor -o**3/3 - 10*o**2 - 137*o/3 + 56.
-(o - 1)*(o + 7)*(o + 24)/3
Factor -4*r**5 + 20*r**4 + 100*r**3 - 500*r**2.
-4*r**2*(r - 5)**2*(r + 5)
Determine g so that 2*g**5 - 6*g**4 - 66*g**3 + 70*g**2 = 0.
-5, 0, 1, 7
Factor -2*y**3/11 + 96*y**2/11 + 522*y/11 + 424/11.
-2*(y - 53)*(y + 1)*(y + 4)/11
Suppose -w**5/4 + 119*w**4/4 - 226*w**3 + 444*w**2 = 0. What is w?
0, 4, 111
Factor 2*t**4 - 30*t**3 + 142*t**2 - 210*t.
2*t*(t - 7)*(t - 5)*(t - 3)
Factor 8*f**4 + 90*f**3 - 106*f**2 - 2592*f - 640.
2*(f - 5)*(f + 8)**2*(4*f + 1)
Suppose 3*x**4 + 24*x**3 + 72*x**2 + 96*x + 48 = 0. Calculate x.
-2
Find k such that 126*k**5 + 512*k**4 - 102*k**3 - 544*k**2 - 24*k + 32 = 0.
-4, -1, -2/7, 2/9, 1
Factor -10*o**4 + 65*o**3/2 + 30*o**2.
-5*o**2*(o - 4)*(4*o + 3)/2
Factor -o**3 - 58*o**2 - 860*o - 3800.
-(o + 10)**2*(o + 38)
Factor -3*g**4/7 - 20*g**3/7 - 11*g**2/7 + 6*g/7.
-g*(g + 1)*(g + 6)*(3*g - 1)/7
Solve -124848*n**3 + 47532*n**2 - 13840*n/3 + 400/3 = 0 for n.
10/153, 1/4
Determine a, given that -7*a**3/11 - 75*a**2/11 + 204*a/11 - 52/11 = 0.
-13, 2/7, 2
Factor -5*b**3 - 1425*b**2 - 11160*b - 22160.
-5*(b + 4)**2*(b + 277)
Factor 6*s**3 + 69*s**2/4 + 33*s/2 + 21/4.
3*(s + 1)**2*(8*s + 7)/4
Factor f**2/2 + 458*f + 104882.
(f + 458)**2/2
Factor 3*b**4 + 42*b**3 - 33*b**2 - 1260*b + 2700.
3*(b - 3)**2*(b + 10)**2
Factor -c**5/4 - 5*c**4/4 - 7*c**3/4 - 3*c**2/4.
-c**2*(c + 1)**2*(c + 3)/4
Let -5*m**2 - 110*m - 285 = 0. Calculate m.
-19, -3
Let 8*z**2/3 + 13*z/3 - 2 = 0. What is z?
-2, 3/8
Let -3*h**5 + 21*h**4 + 6*h**3 - 42*h**2 - 3*h + 21 = 0. What is h?
-1, 1, 7
Factor l**4 + 57*l**3 + 217*l**2 + 267*l + 106.
(l + 1)**2*(l + 2)*(l + 53)
Factor -p**2/7 + 15*p + 214/7.
-(p - 107)*(p + 2)/7
Factor 5*h**2 + 14300*h + 10224500.
5*(h + 1430)**2
Let 4*k**3 - 172*k**2 + 640*k - 624 = 0. What is k?
2, 39
Determine x so that x**2 - 4 = 0.
-2, 2
Factor 10*c**3/9 + 182*c**2/3 + 320*c/9 - 24.
2*(c + 1)*(c + 54)*(5*c - 2)/9
Factor -2*c**4 - 60*c**3 - 666*c**2 - 3240*c - 5832.
-2*(c + 6)**2*(c + 9)**2
Let j**5/3 + 2*j**4/3 - 4*j**3 - 40*j**2/3 - 32*j/3 = 0. Calculate j.
-2, 0, 4
Factor -c**2/4 - c/4 + 3/2.
-(c - 2)*(c + 3)/4
Factor 6*a**4/11 - 1608*a**3/11 + 161604*a**2/11 - 7218312*a/11 + 120906726/11.
6*(a - 67)**4/11
Factor -2*k**3/15 + 6*k**2 - 592*k/15.
-2*k*(k - 37)*(k - 8)/15
Let 4*x**2 + 380*x = 0. What is x?
-95, 0
Factor -2*c**2/7 - 62*c/7.
-2*c*(c + 31)/7
Suppose -2*z**4/5 + 18*z**3 - 1344*z**2/5 + 6664*z/5 = 0. Calculate z.
0, 14, 17
Find d, given that 3*d**3 - 16236*d**2 + 29289744*d - 17612899392 = 0.
1804
Factor -5*f**2 - 2040*f - 208080.
-5*(f + 204)**2
Factor 10*u**2/7 + 58*u/7 - 156/7.
2*(u - 2)*(5*u + 39)/7
Factor 7*j**3/2 - 9*j**2/2 + j.
j*(j - 1)*(7*j - 2)/2
Determine j, given that -2*j**5 + 28*j**4 - 50*j**3 - 488*j**2 + 1024*j - 512 = 0.
-4, 1, 8
Factor -2*k**5/3 + 184*k**4/3 - 2116*k**3 + 97336*k**2/3 - 559682*k/3.
-2*k*(k - 23)**4/3
Let -2*l**4/15 + 6*l**3/5 = 0. Calculate l.
0, 9
Determine y so that -3*y**4 + 27*y**3 + 192*y**2 + 252*y = 0.
-3, -2, 0, 14
Factor 2*s**3 - 12*s**2 + 6*s + 20.
2*(s - 5)*(s - 2)*(s + 1)
Let r**5/5 + 21*r**4 + 3008*r**3/5 + 13304*r**2/5 + 4080*r + 2000 = 0. What is r?
-50, -2, -1
Suppose -256*n**3 - 7488*n**2 - 73008*n - 237276 = 0. What is n?
-39/4
Solve -2*s**5/3 + 38*s**4/3 - 48*s**3 + 40*s**2/3 + 224*s/3 = 0 for s.
-1, 0, 2, 4, 14
Suppose -2*k**3/7 - 878*k**2/7 - 13952*k - 285144/7 = 0. Calculate k.
-218, -3
Factor 5*o**4 - 115*o**3 - 245*o**2 - 125*o.
5*o*(o - 25)*(o + 1