ch that -p**2 + 25 = 0.
-5, 5
Determine d so that 6*d**4 + 1706*d**3 = 0.
-853/3, 0
Solve 2*y**4 + 292*y**3 + 10946*y**2 + 21024*y + 10368 = 0.
-72, -1
Factor -5*m**2 - 60*m - 55.
-5*(m + 1)*(m + 11)
Factor -5*t**2 - 555*t + 1710.
-5*(t - 3)*(t + 114)
Factor f**4 - f**3 - 3*f**2 + f + 2.
(f - 2)*(f - 1)*(f + 1)**2
What is m in -2*m**4/13 - 4*m**3/13 + 14*m**2/13 + 16*m/13 - 24/13 = 0?
-3, -2, 1, 2
Factor -363*b**4/8 - 33099*b**3/4 - 3030039*b**2/8 - 273819*b/2 - 24843/2.
-3*(b + 91)**2*(11*b + 2)**2/8
Factor -2*j**2/15 - 6*j + 728/15.
-2*(j - 7)*(j + 52)/15
Determine o, given that 5*o**4 + 25*o**3 + 35*o**2 + 15*o = 0.
-3, -1, 0
Find d such that 3*d**2 + 1758*d = 0.
-586, 0
Factor -2*q**2 - 22*q + 204.
-2*(q - 6)*(q + 17)
What is o in 4*o**2 + 12*o = 0?
-3, 0
Determine j so that -10*j**5 + 98*j**4/3 + 524*j**3/3 - 56*j**2 - 48*j = 0.
-3, -2/5, 0, 2/3, 6
Factor -a**5/3 + 2*a**4/3 + 2*a**3 - 20*a**2/3 + 19*a/3 - 2.
-(a - 2)*(a - 1)**3*(a + 3)/3
Let 5*v**5 + 515*v**4 + 14385*v**3 + 53165*v**2 - 168070*v = 0. Calculate v.
-49, -7, 0, 2
Suppose 2*i**2 + 892*i + 99458 = 0. Calculate i.
-223
Factor -o**2/9 - 28*o/9.
-o*(o + 28)/9
Find h, given that 37*h**4 - 113*h**3 + 117*h**2 - 43*h + 2 = 0.
2/37, 1
Factor t**4 - 624*t**3 + 131016*t**2 - 9505664*t + 52450896.
(t - 206)**3*(t - 6)
Let -4*f**2/7 + 816*f/7 + 720 = 0. What is f?
-6, 210
Let -5*v**3/3 + 20*v**2 - 55*v/3 = 0. What is v?
0, 1, 11
Factor -z**4 + 47*z**3 + 48*z**2.
-z**2*(z - 48)*(z + 1)
Factor 2*l**5 + 10*l**4 - 28*l**3 + 4*l**2 + 26*l - 14.
2*(l - 1)**3*(l + 1)*(l + 7)
Find a, given that a**3/7 - 12*a**2/7 + 48*a/7 - 64/7 = 0.
4
Factor 2*r**4/5 + 4*r**3/5 - 24*r**2/5 - 16*r - 64/5.
2*(r - 4)*(r + 2)**3/5
Factor 18*s**4 - 112*s**3 + 168*s**2 - 32*s.
2*s*(s - 4)*(s - 2)*(9*s - 2)
Factor -k**2/4 - 4*k - 63/4.
-(k + 7)*(k + 9)/4
Solve -2*k**3/13 - 16*k**2/13 - 2*k - 12/13 = 0.
-6, -1
Suppose 3*j**2 - 24*j - 60 = 0. Calculate j.
-2, 10
Let 4*n**5 - 120*n**4 + 92*n**3 + 712*n**2 - 432*n - 928 = 0. Calculate n.
-2, -1, 2, 29
Factor 5*w**4 - 1040*w**3 - 1050*w**2 + 1040*w + 1045.
5*(w - 209)*(w - 1)*(w + 1)**2
Let -3*a**3 + 60*a**2/7 - 39*a/7 = 0. Calculate a.
0, 1, 13/7
Factor -l**4/2 + 5*l**3/2 + 13*l**2/2 + 7*l/2.
-l*(l - 7)*(l + 1)**2/2
Find m, given that -20*m**5 + 15*m**4 + 25*m**3 - 15*m**2 - 5*m = 0.
-1, -1/4, 0, 1
Factor 2*u**3 - 1032*u**2 + 177504*u - 10176896.
2*(u - 172)**3
What is l in -4*l**5 + 44*l**4 - 140*l**3 + 100*l**2 = 0?
0, 1, 5
Factor -k**4/4 + 87*k**3/2.
-k**3*(k - 174)/4
Suppose -2*n**2/11 + 192*n/11 - 190/11 = 0. Calculate n.
1, 95
Factor -y**2/3 - 10*y/3 + 11/3.
-(y - 1)*(y + 11)/3
Factor -24*b**2 + 1935*b/2 - 300.
-3*(b - 40)*(16*b - 5)/2
Factor 2*v**5 + 16*v**4 + 40*v**3 + 32*v**2.
2*v**2*(v + 2)**2*(v + 4)
Find z such that 4802*z**2 - 4704*z + 1152 = 0.
24/49
Determine t so that -t**3/7 + 10*t**2/7 - 12*t/7 - 72/7 = 0.
-2, 6
Determine l, given that 3*l**3 + 1188*l**2 + 4716*l + 4704 = 0.
-392, -2
Factor -3*n**2 + 3*n.
-3*n*(n - 1)
Let 18*t**5/7 - 24*t**4/7 + 8*t**3/7 = 0. What is t?
0, 2/3
Determine l, given that 7*l**5 + 701*l**4/4 + 1311*l**3/4 - l**2 - 23*l = 0.
-23, -2, -2/7, 0, 1/4
Suppose -a**5/11 + 12*a**4/11 - 42*a**3/11 + 52*a**2/11 - 21*a/11 = 0. Calculate a.
0, 1, 3, 7
Suppose -2*f**2 - 870*f - 868 = 0. What is f?
-434, -1
What is h in -5*h**5 + 20*h**4 + 15*h**3 - 50*h**2 - 40*h = 0?
-1, 0, 2, 4
Determine u, given that 3*u**3/4 + 543*u**2/4 + 24297*u/4 - 24843/4 = 0.
-91, 1
Determine m so that -m**5/2 - m**4 + 3*m**3/2 = 0.
-3, 0, 1
Factor 9*y**2/2 + 25*y/6 - 1/3.
(y + 1)*(27*y - 2)/6
Determine n, given that 4*n**3/13 + 122*n**2/13 + 538*n/13 - 300/13 = 0.
-25, -6, 1/2
Factor -5*f**4 - 45*f**3 - 115*f**2 - 75*f.
-5*f*(f + 1)*(f + 3)*(f + 5)
Factor 4*w**3/3 + 16*w**2/3 - 16*w.
4*w*(w - 2)*(w + 6)/3
Factor -3*t**3/4 - 69*t**2/4 - 93*t/2 - 30.
-3*(t + 1)*(t + 2)*(t + 20)/4
Suppose 242*x**5/5 + 8514*x**4/5 + 105558*x**3/5 + 104654*x**2 + 807312*x/5 + 383328/5 = 0. Calculate x.
-11, -12/11
Factor -g**3/11 - 18*g**2/11 + 39*g/11 - 20/11.
-(g - 1)**2*(g + 20)/11
Determine c, given that 4*c**5 + 24*c**4 + 12*c**3 - 40*c**2 = 0.
-5, -2, 0, 1
Find a such that 3*a**3/2 + 1929*a**2/2 + 314853*a/2 + 1526415/2 = 0.
-319, -5
Solve 2*m**2/17 + 12*m/17 + 18/17 = 0 for m.
-3
Factor 7*j**3/2 - 135*j**2/2 + 82*j - 18.
(j - 18)*(j - 1)*(7*j - 2)/2
Factor 3*u**4 - 24*u**3 - 9*u**2 + 78*u - 48.
3*(u - 8)*(u - 1)**2*(u + 2)
Solve -45*t**2 + 39*t + 6 = 0.
-2/15, 1
What is h in -15*h**4 - 471*h**3/4 - 171*h**2/2 + 111*h/4 + 21/2 = 0?
-7, -1, -1/4, 2/5
Determine q, given that 35*q**4 + 150*q**3 + 215*q**2 + 120*q + 20 = 0.
-2, -1, -2/7
Factor 2*i**3/3 - 2*i - 4/3.
2*(i - 2)*(i + 1)**2/3
Solve 21*y**3 - 114*y**2 - 1005*y + 450 = 0 for y.
-5, 3/7, 10
Factor n**3/3 - n**2 - 126*n.
n*(n - 21)*(n + 18)/3
Find s such that -s**4 - 20*s**3 - 132*s**2 - 320*s - 256 = 0.
-8, -2
Suppose -15*t**3 + 5*t**2 + 120*t + 100 = 0. Calculate t.
-2, -1, 10/3
Factor -p**3/4 + 58*p**2 - 10541*p/4 - 177419/2.
-(p - 127)**2*(p + 22)/4
What is h in h**3/3 - 43*h**2 + 503*h/3 - 125 = 0?
1, 3, 125
Factor -5*m**4 + 1850*m**3 - 171125*m**2.
-5*m**2*(m - 185)**2
Factor 2*i**3/3 + 20*i**2/3 + 56*i/3 + 16.
2*(i + 2)**2*(i + 6)/3
Let q**3 - 9*q**2 + 8*q = 0. What is q?
0, 1, 8
Factor -4*l**3 - 44*l**2 - 144*l - 144.
-4*(l + 2)*(l + 3)*(l + 6)
Suppose -f**3/6 + 37*f**2/3 - 71*f/6 - 73/3 = 0. What is f?
-1, 2, 73
Factor -14*d**3 + 514*d**2 + 5944*d + 1656.
-2*(d - 46)*(d + 9)*(7*d + 2)
Determine q so that -q**5 + 2*q**4 + 27*q**3 - 8*q**2 - 68*q + 48 = 0.
-4, -2, 1, 6
Determine c, given that 12*c**4 - 80*c**3 + 116*c**2 + 48*c = 0.
-1/3, 0, 3, 4
Factor -3*s**2 + 1113*s + 1116.
-3*(s - 372)*(s + 1)
Find k, given that -k**2/4 + 4*k - 12 = 0.
4, 12
Factor -i**3 + 2*i**2 + 36*i - 72.
-(i - 6)*(i - 2)*(i + 6)
Let 2*x**4 + 11*x**3/2 - 67*x**2/2 - 88*x + 24 = 0. Calculate x.
-4, -3, 1/4, 4
Factor -4*o**3 + 132*o**2.
-4*o**2*(o - 33)
Suppose -3*r**4/2 - 15*r**3/2 + 3*r**2/2 + 15*r/2 = 0. What is r?
-5, -1, 0, 1
Let 2*m**4/7 - 38*m**3 + 264*m**2/7 = 0. What is m?
0, 1, 132
Let g**5/2 - g**4/2 - 5*g**3 + 5*g**2 + 9*g/2 - 9/2 = 0. What is g?
-3, -1, 1, 3
Factor 2*d**2/13 - 20*d/13 - 112/13.
2*(d - 14)*(d + 4)/13
Factor 3*v**3 - 2811*v**2.
3*v**2*(v - 937)
Let 2*i**2/19 + 1840*i/19 + 423200/19 = 0. Calculate i.
-460
Suppose -3*a**4 - 15*a**3 - 24*a**2 - 12*a = 0. Calculate a.
-2, -1, 0
Factor -4*c**2/3 + 88*c/3 - 76.
-4*(c - 19)*(c - 3)/3
Factor 2*g**4/11 - 76*g**3/11 + 642*g**2/11 + 1520*g/11 + 800/11.
2*(g - 20)**2*(g + 1)**2/11
Factor -2*p**3/21 + 128*p**2/7 - 254*p/7 + 380/21.
-2*(p - 190)*(p - 1)**2/21
Suppose -r**2/2 + 87*r + 531/2 = 0. Calculate r.
-3, 177
Factor -4*k**2/7 + 1276*k/7 + 2568/7.
-4*(k - 321)*(k + 2)/7
Determine l so that -2*l**3/9 - 16*l**2 - 274*l/9 + 140/3 = 0.
-70, -3, 1
Suppose a**2/11 - 868*a/11 + 188356/11 = 0. Calculate a.
434
Factor p**2/3 + 757*p - 2272/3.
(p - 1)*(p + 2272)/3
Suppose 2*g**5/3 - 102*g**4 - 314*g**3/3 + 922*g**2/3 + 104*g - 616/3 = 0. Calculate g.
-2, -1, 1, 154
Determine m so that 2*m**3/9 - 422*m**2/9 + 22048*m/9 + 22472/9 = 0.
-1, 106
Let -2*r**2/9 + 8*r/9 + 10/9 = 0. What is r?
-1, 5
Let -2*g**2/17 - 20*g/17 = 0. What is g?
-10, 0
Let -i**5/4 + 9*i**4/4 - 5*i**3/4 - 29*i**2/4 + 21*i/2 - 4 = 0. What is i?
-2, 1, 8
Factor -1849*z**4 + 7052*z**3 + 1360*z**2 + 64*z.
-z*(z - 4)*(43*z + 4)**2
Find m such that -2*m**5/3 - 2*m**4/3 + 4*m**3 - 4*m**2/3 - 10*m/3 + 2 = 0.
-3, -1, 1
Find n, given that -2*n**5/17 + 32*n**4/17 - 176*n**3/17 + 384*n**2/17 - 288*n/17 = 0.
0, 2, 6
Determine o, given that o**2/2 + 57*o + 3249/2 = 0.
-57
Let -x**5/2 - 5*x**4/2 + 3*x**3/2 + 17*x**2/2 + 5*x = 0. What is x?
-5, -1, 0, 2
Find z such that -4*z**5 - 11*z**4 + 27*z**3 + 26*z**2 - 8*z = 0.
-4, -1, 0, 1/4, 2
Factor -32*q**3/19 + 8656*q**2/19 - 4322*q/19 + 540/19.
-2*(q - 270)*(4*q - 1)**2/19
Find g such that -3*g**4/4 - 9*g**3/2 - 33*g**2/4 - 9*g/2 = 0.
-3, -2, -1, 0
Factor b**2 + 23*b + 22.
(b + 1)*(b + 22)
Let -4*j**2 + 396*j - 2232 = 0. Calculate j.
6, 93
Determine d, given that -15*d**4 + 530*d**3 - 4500*d**2 - 3240*d = 0.
-2/3, 0, 18
Factor -u**2 - 16*u - 60.
-(u + 6)*(u + 10)
Factor -2*f**3 + 30*f**2 - 96*f - 128.
-2*(f - 8)**2*(f + 1)
Factor -2*p**2/3 + 400*p/3 - 398/3.
-2*(p - 199)*(p - 1)/3
S