 2*s**3/7 - 428*s**2/7 - 2*s/7 + 428/7.
2*(s - 214)*(s - 1)*(s + 1)/7
Determine s so that -3*s**5/8 - 5*s**4/8 + 11*s**3/4 + 13*s**2/2 + 3*s = 0.
-2, -2/3, 0, 3
Solve -a**2 - 56*a + 177 = 0.
-59, 3
Solve p**2 + 109*p - 336 = 0 for p.
-112, 3
Solve -21*w**3/4 - 117*w**2 - 1917*w/4 - 255/2 = 0.
-17, -5, -2/7
Solve -x**5 + 55*x**4 - 783*x**3 + 729*x**2 = 0 for x.
0, 1, 27
Find f, given that f**2/2 + 49*f + 2401/2 = 0.
-49
What is s in 2*s**2/5 - 6*s + 28/5 = 0?
1, 14
What is w in 2*w**2 - 196*w + 4802 = 0?
49
Let -36*i**2 - 892*i + 200 = 0. What is i?
-25, 2/9
Factor 3*p**3/5 - 222*p**2/5 + 4107*p/5.
3*p*(p - 37)**2/5
Find n such that -3*n**2/7 - 96*n/7 - 180/7 = 0.
-30, -2
Determine l so that 3*l**5/7 + 3*l**4 + 45*l**3/7 + 15*l**2/7 - 48*l/7 - 36/7 = 0.
-3, -2, -1, 1
Find l such that -l**4 + 59*l**3 - 1113*l**2 + 6341*l + 7514 = 0.
-1, 17, 26
Let r**4/3 + 15*r**3 + 209*r**2 + 2527*r/3 = 0. What is r?
-19, -7, 0
Factor -50*r**2/9 - 2*r/9.
-2*r*(25*r + 1)/9
Determine b, given that -6*b**2 + 196*b + 66 = 0.
-1/3, 33
Suppose 3*o**5/4 + 15*o**4/4 + 9*o**3/4 - 39*o**2/4 - 6*o + 9 = 0. Calculate o.
-3, -2, 1
Factor -3*i**2 + 12*i + 15.
-3*(i - 5)*(i + 1)
Suppose 2*o**3/3 - 19*o**2/6 - 269*o/6 - 11 = 0. What is o?
-6, -1/4, 11
Let -2*k**2/7 - 16*k - 224 = 0. What is k?
-28
Factor -4*n**2 - 548*n.
-4*n*(n + 137)
Let -15*o**5 + 520*o**4 + 3800*o**3 + 3930*o**2 - 1385*o - 2050 = 0. What is o?
-5, -1, 2/3, 41
Determine k, given that -33*k**5 + 798*k**4 - 4896*k**3 + 864*k**2 = 0.
0, 2/11, 12
Solve 2*c**4/7 + 54*c**3/7 + 390*c**2/7 + 338*c/7 = 0 for c.
-13, -1, 0
Factor 4*y**3 - 48*y**2 + 80*y.
4*y*(y - 10)*(y - 2)
Factor -2*g**3 + 10*g**2 + 28*g.
-2*g*(g - 7)*(g + 2)
Find c such that -3*c**5 - 21*c**4 - 54*c**3 - 60*c**2 - 24*c = 0.
-2, -1, 0
Determine u so that -3*u**5/2 + 3*u**4 - 3*u**3/2 = 0.
0, 1
Let -2*t**3 + 2*t**2 + 2*t - 2 = 0. What is t?
-1, 1
Factor 5*s**5 - 15*s**4 - 60*s**3 + 260*s**2 - 240*s.
5*s*(s - 3)*(s - 2)**2*(s + 4)
Factor 2*c**4/11 - 2*c**3/11 - 4*c**2/11.
2*c**2*(c - 2)*(c + 1)/11
Find r such that -2*r**4 - 8*r**3 - 12*r**2 - 8*r - 2 = 0.
-1
Find s, given that 250*s**5 + 6600*s**4 + 50880*s**3 + 98048*s**2 + 72192*s + 18432 = 0.
-12, -4/5
Determine k so that -42*k**5/19 + 1594*k**4/19 + 108*k**3/19 - 1224*k**2/19 + 16*k = 0.
-1, 0, 2/7, 2/3, 38
Find x, given that -2*x**3/3 - 22*x**2 - 64*x/3 = 0.
-32, -1, 0
Find l such that -5*l**3 = 0.
0
Determine n so that n**2/5 + 2309*n/5 - 4622/5 = 0.
-2311, 2
Solve -y**2 - 26*y + 272 = 0.
-34, 8
Let -2*h**4/11 + 24*h**3/11 - 74*h**2/11 - 60*h/11 + 400/11 = 0. Calculate h.
-2, 4, 5
Let -5*z**4 + 20*z**3 + 135*z**2 + 190*z + 80 = 0. Calculate z.
-2, -1, 8
Let -4*f**5 + 140*f**4 - 744*f**3 + 1424*f**2 - 928*f = 0. What is f?
0, 2, 29
Factor 5*n**2 + 95*n - 100.
5*(n - 1)*(n + 20)
Factor -4*s**4 - 340*s**3 + 3288*s**2 - 8944*s + 7520.
-4*(s - 5)*(s - 2)**2*(s + 94)
Solve -49*w**4/4 + 371*w**3/2 - 3901*w**2/4 + 2067*w - 1521 = 0.
2, 39/7
Find w such that 2*w**2 - 138*w - 900 = 0.
-6, 75
Factor -7396*c**5/7 - 111284*c**4/7 - 559864*c**3/7 - 950360*c**2/7 - 43300*c/7 - 500/7.
-4*(c + 5)**3*(43*c + 1)**2/7
Solve a**2/2 - 11*a/2 - 6 = 0.
-1, 12
Factor 5*p**3 + 31*p**2/6 - 2*p.
p*(3*p + 4)*(10*p - 3)/6
Factor 5*x**4 - 45*x**3 + 90*x**2.
5*x**2*(x - 6)*(x - 3)
What is m in -35*m**4/3 - 970*m**3/3 - 525*m**2 - 380*m/3 + 260/3 = 0?
-26, -1, 2/7
Factor -d**2 - 485*d.
-d*(d + 485)
Suppose 4*l**2 + 1888*l + 222784 = 0. Calculate l.
-236
Factor 2*y**5/13 - 54*y**4/13.
2*y**4*(y - 27)/13
Factor 2*q**2 - 21868*q + 59776178.
2*(q - 5467)**2
Determine x so that 2*x**4/11 - 50*x**3/11 + 208*x**2/11 - 160*x/11 = 0.
0, 1, 4, 20
Solve -s**3/5 + 16*s**2/5 + 17*s/5 = 0 for s.
-1, 0, 17
Let 3*p**2/2 - 309*p/2 + 153 = 0. What is p?
1, 102
Solve -y**5 - 23*y**4 - 93*y**3 + 455*y**2 - 338*y = 0.
-13, 0, 1, 2
Factor c**5/2 - 35*c**4 + 68*c**3 + c**2 - 137*c/2 + 34.
(c - 68)*(c - 1)**3*(c + 1)/2
Suppose -3*q**4/4 + 34*q**3 - 65*q**2/6 - 56*q/3 - 15/4 = 0. What is q?
-1/3, 1, 45
Find q such that -5*q**4 + 40*q**3 + 65*q**2 - 160*q - 180 = 0.
-2, -1, 2, 9
Let -i**4 - 43*i**3 - 123*i**2 - 121*i - 40 = 0. Calculate i.
-40, -1
Determine o, given that -9*o**5/7 - 375*o**4/7 - 738*o**3 - 3276*o**2 + 1176*o = 0.
-14, 0, 1/3
Let -2*k**3/13 + 100*k**2 + 5224*k/13 + 5232/13 = 0. Calculate k.
-2, 654
Solve p**2/6 + 20*p/3 - 104 = 0.
-52, 12
Factor -2*z**3 + 312*z**2 + 2*z - 312.
-2*(z - 156)*(z - 1)*(z + 1)
Let h**4/2 - 119*h**3 + 13921*h**2/2 + 14280*h + 7200 = 0. Calculate h.
-1, 120
Factor 2*x**2/7 - 500*x/7.
2*x*(x - 250)/7
Factor 3*f**4 + 24*f**3 - 57*f**2 + 30*f.
3*f*(f - 1)**2*(f + 10)
Factor 3*o**2/5 + 1992*o/5.
3*o*(o + 664)/5
Solve -2*n**3/5 - 8*n**2/5 - 8*n/5 = 0 for n.
-2, 0
Determine s, given that 268*s**2 - 1872*s - 28 = 0.
-1/67, 7
Find i, given that -i**4/8 - 3*i**3/8 + i**2/4 + 3*i/2 + 1 = 0.
-2, -1, 2
Factor 2*w**3/3 + 8*w**2 + 46*w/3 - 24.
2*(w - 1)*(w + 4)*(w + 9)/3
Let -k**3/2 + 93*k**2/2 - 2871*k/2 + 29435/2 = 0. Calculate k.
29, 35
Find i such that -2*i**3 - 22*i**2 - 48*i + 72 = 0.
-6, 1
What is k in 2*k**4 - 248*k**3 + 7914*k**2 - 12932*k - 59536 = 0?
-2, 4, 61
Factor 2*k**5 - 112*k**4 + 1452*k**3 + 3248*k**2 + 1682*k.
2*k*(k - 29)**2*(k + 1)**2
Factor 3*f**5/8 - 27*f**4/8 + 81*f**3/8 - 81*f**2/8.
3*f**2*(f - 3)**3/8
Suppose -11*i**5 - 15*i**4 + 62*i**3 + 68*i**2 - 72*i - 32 = 0. What is i?
-2, -4/11, 1, 2
Factor 2*t**5/7 - 124*t**4/7 - 18*t**3.
2*t**3*(t - 63)*(t + 1)/7
Factor -g**2 - 1168*g + 1169.
-(g - 1)*(g + 1169)
Factor v**3 - 15*v**2 - 36*v + 320.
(v - 16)*(v - 4)*(v + 5)
Determine p, given that p**5/3 + 4*p**4/3 - p**3/3 - 4*p**2/3 = 0.
-4, -1, 0, 1
Factor 4*b**2 + 372*b - 376.
4*(b - 1)*(b + 94)
Determine b, given that -3*b**2 + 4020*b - 1346700 = 0.
670
Let -g**5/3 - g**4 + 2*g**3 + 10*g**2/3 - 7*g + 3 = 0. Calculate g.
-3, 1
Factor 8*g**3/3 + 362*g**2/3.
2*g**2*(4*g + 181)/3
Find c, given that -5*c**2 - 1675*c - 1670 = 0.
-334, -1
Factor 2*l**4/21 - 82*l**3/21 - 86*l**2/7 - 262*l/21 - 88/21.
2*(l - 44)*(l + 1)**3/21
Factor 2*u**3 + 58*u**2 + 390*u - 450.
2*(u - 1)*(u + 15)**2
Suppose z**2 + 13*z - 30 = 0. What is z?
-15, 2
Factor -26*u**4/7 - 1790*u**3/7 + 276*u**2/7.
-2*u**2*(u + 69)*(13*u - 2)/7
Suppose 2*f**5/7 + 25630*f**4/7 + 131379380*f**3/7 + 336725350940*f**2/7 + 431513537229610*f/7 + 221193839183898086/7 = 0. What is f?
-2563
Solve 4*x**4 - 4*x**3 - 84*x**2 + 164*x - 80 = 0 for x.
-5, 1, 4
Solve -3*r**2 + 783*r = 0 for r.
0, 261
Solve -q**3 - 45*q**2 + 1512*q + 68796 = 0 for q.
-42, 39
Let 3*k**3 - 33*k**2 + 57*k - 27 = 0. What is k?
1, 9
Determine z, given that -23*z**2/6 + 440*z/3 - 38 = 0.
6/23, 38
Suppose -5*c**2 + 1260*c + 1265 = 0. Calculate c.
-1, 253
Factor -5*l**3 + 1210*l**2.
-5*l**2*(l - 242)
Factor -2*t**2/7 - 5676*t/7 - 4027122/7.
-2*(t + 1419)**2/7
Factor -15*j**3 - 20*j**2 + 25*j + 10.
-5*(j - 1)*(j + 2)*(3*j + 1)
Determine t so that -4*t**5 - 22*t**4 - 24*t**3 + 2*t**2 + 8*t = 0.
-4, -1, 0, 1/2
Find m such that 3*m**2/5 - 321*m/5 + 318/5 = 0.
1, 106
Factor -a**3/4 - 87*a**2/4 - 1755*a/4 + 6075/4.
-(a - 3)*(a + 45)**2/4
Factor -d**4/4 + 3*d**3/4 + 9*d**2/4 + 5*d/4.
-d*(d - 5)*(d + 1)**2/4
Factor m**5/2 + 7*m**4/2 + 6*m**3 - 2*m**2 - 8*m.
m*(m - 1)*(m + 2)**2*(m + 4)/2
Factor c**2 - 338*c + 28561.
(c - 169)**2
What is t in -4*t**2/7 - 16704*t/7 - 17438976/7 = 0?
-2088
Suppose -2*b**5/7 - 8*b**4/7 + 26*b**3/7 + 8*b**2 - 120*b/7 = 0. What is b?
-5, -3, 0, 2
Let -2*v**3/15 + 10*v**2/3 - 304*v/15 + 256/15 = 0. Calculate v.
1, 8, 16
Solve 5*z**4 - 35*z**3 + 70*z**2 - 40*z = 0.
0, 1, 2, 4
Factor -115*r**5 + 350*r**4 - 360*r**3 + 130*r**2 - 5*r.
-5*r*(r - 1)**3*(23*r - 1)
Factor -d**2/5 - 10*d - 49/5.
-(d + 1)*(d + 49)/5
Determine i, given that 2*i**5 - 28*i**4 + 112*i**3 - 128*i**2 = 0.
0, 2, 4, 8
Find p, given that -3*p**3/5 + 48*p**2/5 = 0.
0, 16
Factor 2*z**4 + 11320*z**3 + 21364608*z**2 + 13459672864*z + 26833977824.
2*(z + 2)*(z + 1886)**3
Suppose 20*a**3 + 108*a**2 + 160*a + 48 = 0. What is a?
-3, -2, -2/5
What is r in -2*r**2 + 592*r + 1794 = 0?
-3, 299
Factor -k**4/6 + 28*k**3/3 - 132*k**2 - 1936*k/3 + 53240/3.
-(k - 22)**3*(k + 10)/6
Solve 25*r**4 + 520*r**3 + 3325*r**2 + 6390*r + 3240 = 0.
-9, -2, -4/5
Factor 5*i**3 - 5*i**2 - 480*i + 1980.
5*(i - 6)**2*(i + 11)
Suppose 