r b**2 - 157*b.
b*(b - 157)
Factor -2*d**2/11 + 984*d/11 - 121032/11.
-2*(d - 246)**2/11
Let -4*c**2 - 20*c - 16 = 0. Calculate c.
-4, -1
Factor 4*p**4 - 676*p**3 + 2660*p**2 - 3308*p + 1320.
4*(p - 165)*(p - 2)*(p - 1)**2
Let 5*q**2 + 900*q - 4625 = 0. What is q?
-185, 5
Suppose 2*l**4/5 - 12*l**3/5 - 22*l**2/5 + 24*l + 40 = 0. Calculate l.
-2, 5
Suppose s**2 + 9*s - 36 = 0. Calculate s.
-12, 3
Factor 2*q**3/5 - 8*q**2/5 - 78*q/5 - 108/5.
2*(q - 9)*(q + 2)*(q + 3)/5
Solve -2*v**2 - 25*v + 13 = 0 for v.
-13, 1/2
Suppose -26*w**4 - 50*w**3 - 22*w**2 + 2*w = 0. What is w?
-1, 0, 1/13
Determine i, given that 2*i**2/11 + 120*i/11 - 378/11 = 0.
-63, 3
Solve -2*u**2/11 + 294*u/11 = 0.
0, 147
Factor -2*g**2 - 10364*g - 13426562.
-2*(g + 2591)**2
Solve -2*j**2/19 + 284*j/19 - 10082/19 = 0 for j.
71
Let -u**2 + 2*u + 15 = 0. Calculate u.
-3, 5
Determine d, given that -16*d**3 - 348*d**2 + 88*d = 0.
-22, 0, 1/4
Suppose 2*r**2/17 - 5744*r/17 + 4124192/17 = 0. Calculate r.
1436
Solve 2*v**3/3 - 50*v**2/3 + 112*v - 96 = 0 for v.
1, 12
Let -4*l**5/7 - 36*l**4/7 - 44*l**3/7 + 116*l**2/7 + 240*l/7 + 16 = 0. Calculate l.
-7, -2, -1, 2
Let -2*x**3 + 8*x**2 + 70*x - 300 = 0. Calculate x.
-6, 5
Factor -76*b**5/5 + 46*b**4 - 234*b**3/5 + 82*b**2/5 - 2*b/5.
-2*b*(b - 1)**3*(38*b - 1)/5
Factor 2*a**3/3 - 16*a**2 + 166*a/3 - 40.
2*(a - 20)*(a - 3)*(a - 1)/3
Determine u so that 4*u**2 - 99*u - 25 = 0.
-1/4, 25
Factor -2*y**3 - 64*y**2 - 650*y - 2028.
-2*(y + 6)*(y + 13)**2
Suppose -4*k**4 + 20*k**3 + 4*k**2 - 68*k - 48 = 0. Calculate k.
-1, 3, 4
Factor 2*w**2/7 + 814*w/7 + 1620/7.
2*(w + 2)*(w + 405)/7
Factor -3*o**3/4 + 9*o**2/2 - 33*o/4 + 9/2.
-3*(o - 3)*(o - 2)*(o - 1)/4
Determine y, given that -2*y**4/7 - 20*y**3/7 - 26*y**2/7 + 48*y/7 = 0.
-8, -3, 0, 1
Determine n, given that n**3/5 - 4*n/5 = 0.
-2, 0, 2
Determine c, given that -2*c**2 - 281*c - 140 = 0.
-140, -1/2
Suppose 12*p**5 + 75*p**4 + 126*p**3 + 75*p**2 + 12*p = 0. Calculate p.
-4, -1, -1/4, 0
Solve c**4/3 - 59*c**3/6 + 39*c**2 - 75*c/2 = 0 for c.
0, 3/2, 3, 25
Factor -4*q**4 - 164*q**3 + 172*q**2 + 164*q - 168.
-4*(q - 1)**2*(q + 1)*(q + 42)
Factor 4*l**2/5 - 528*l/5.
4*l*(l - 132)/5
Factor 2*p**4/15 + 4*p**3/3 + 14*p**2/15 - 12*p/5.
2*p*(p - 1)*(p + 2)*(p + 9)/15
Factor 54*i**2/7 - 7272*i/7 + 244824/7.
6*(3*i - 202)**2/7
What is f in 4*f**4/5 - 2*f**3 - 12*f**2/5 + 8*f - 16/5 = 0?
-2, 1/2, 2
Solve 3*r**4/2 - 15*r**3 + 87*r**2/2 - 48*r + 18 = 0 for r.
1, 2, 6
Suppose -3*t**5 - 87*t**4 - 699*t**3 - 1965*t**2 - 1350*t = 0. Calculate t.
-18, -5, -1, 0
Determine d, given that 49*d**4 + 1449*d**3 + 2188*d**2 + 900*d + 112 = 0.
-28, -1, -2/7
Suppose 5*m**3 - 7270*m**2 - 7275*m = 0. Calculate m.
-1, 0, 1455
Factor -2*p**3 + 15*p**2 + 38*p.
-p*(p + 2)*(2*p - 19)
Determine h, given that -10*h**5/13 - 118*h**4/13 + 54*h**3/13 + 374*h**2/13 + 164*h/13 - 48/13 = 0.
-12, -1, 1/5, 2
Suppose -r**3 - 10*r**2 - 3*r + 54 = 0. What is r?
-9, -3, 2
Factor -7*f**3/8 + 19*f**2/8 + 3*f/4.
-f*(f - 3)*(7*f + 2)/8
Find s such that -3*s**5/2 - 63*s**4 - 120*s**3 + 3*s**2 + 243*s/2 + 60 = 0.
-40, -1, 1
Let 2*l**2 - 56*l - 666 = 0. What is l?
-9, 37
Factor -2*z**5/9 - 256*z**4/9 - 1004*z**3/9 - 1496*z**2/9 - 994*z/9 - 248/9.
-2*(z + 1)**4*(z + 124)/9
Factor 2*w**2/9 - 68*w/9 - 110.
2*(w - 45)*(w + 11)/9
Factor -4*s**2/5 - 16*s/5 + 48/5.
-4*(s - 2)*(s + 6)/5
Solve -3*u**2 - 330*u = 0 for u.
-110, 0
Suppose -21*c**5 - 699*c**4 - 2151*c**3 - 2469*c**2 - 1176*c - 180 = 0. What is c?
-30, -1, -2/7
Factor -4*d**2 - 12*d - 8.
-4*(d + 1)*(d + 2)
Factor -2*a**4 + 18*a**3 + 68*a**2 + 48*a.
-2*a*(a - 12)*(a + 1)*(a + 2)
Solve 35*o**5/2 - 111*o**4/2 + 5*o**3 + 12*o**2 = 0.
-2/5, 0, 4/7, 3
Solve 2*g**4/9 - 2*g**3/9 - 2*g**2/9 + 2*g/9 = 0.
-1, 0, 1
What is i in -2*i**2/9 + 98*i/9 = 0?
0, 49
Suppose 4*u**2/3 + 1840*u/3 + 211600/3 = 0. Calculate u.
-230
Factor 4*n**2 + 148*n - 152.
4*(n - 1)*(n + 38)
Factor j**4/4 - j**3 - 35*j**2/4 + 75*j/2.
j*(j - 5)**2*(j + 6)/4
Factor -2*h**2/11 + 980*h/11 - 120050/11.
-2*(h - 245)**2/11
Solve k**4 - 4*k**3 - 13*k**2 + 4*k + 12 = 0.
-2, -1, 1, 6
Factor 5*g**3/3 - 85*g**2/3 - 520*g/3 - 220.
5*(g - 22)*(g + 2)*(g + 3)/3
Determine j so that 12*j**5 - 261*j**4 + 606*j**3 + 432*j**2 - 618*j - 171 = 0.
-1, -1/4, 1, 3, 19
Let 5*z**4 + 50*z**3 + 115*z**2 + 70*z = 0. What is z?
-7, -2, -1, 0
Factor -t**2/2 - 12*t/5 - 8/5.
-(t + 4)*(5*t + 4)/10
Find z, given that -9*z**5/2 + 33*z**4 - 57*z**3 - 54*z**2 + 243*z/2 + 81 = 0.
-1, -2/3, 3
Let 2*n**4/9 - 4*n**3/9 + 2*n**2/9 = 0. What is n?
0, 1
Let -j**4/6 + 5*j**3/6 + 27*j**2/2 - 173*j/6 + 44/3 = 0. Calculate j.
-8, 1, 11
Factor -2*p**2 + 36*p.
-2*p*(p - 18)
Find p, given that -p**5 + 33*p**4/5 + 279*p**3/5 + 511*p**2/5 + 342*p/5 + 72/5 = 0.
-3, -1, -2/5, 12
Factor -3*h**4/2 - 18*h**3 - 33*h**2/2.
-3*h**2*(h + 1)*(h + 11)/2
Factor -2*o**4 - 13370*o**3 - 29797272*o**2 - 22149296608*o - 22119512704.
-2*(o + 1)*(o + 2228)**3
Factor -3*s**5 + 15*s**4 - 12*s**3 - 48*s**2 + 96*s - 48.
-3*(s - 2)**3*(s - 1)*(s + 2)
Let -2*n**3/13 + 68*n**2/13 - 448*n/13 + 64 = 0. Calculate n.
4, 26
Factor i**5/4 + 13*i**4/4 + 35*i**3/4 - 49*i**2/4.
i**2*(i - 1)*(i + 7)**2/4
Suppose 4*n**3 - 192*n**2 + 1404*n = 0. Calculate n.
0, 9, 39
What is m in 2*m**5/13 + 12*m**4 + 2880*m**3/13 - 6400*m**2/13 = 0?
-40, 0, 2
Factor x**2/10 + 203*x/5 + 81/2.
(x + 1)*(x + 405)/10
Suppose -26*m**2/9 + 178*m/9 + 28/9 = 0. Calculate m.
-2/13, 7
What is i in 6*i**5 - 44*i**4 + 88*i**3 - 16*i**2 - 64*i = 0?
-2/3, 0, 2, 4
Determine l so that -6*l**5 - 15*l**4 + 18*l**3 + 33*l**2 - 30*l = 0.
-5/2, -2, 0, 1
Determine m so that m**2/3 + 1643*m/3 - 548 = 0.
-1644, 1
Solve 2*b**5 + 6*b**4 - 8*b**2 = 0.
-2, 0, 1
Find s such that -s**2/10 + 18*s/5 - 162/5 = 0.
18
Find s such that 8*s**4/5 + 124*s**3/5 - 32*s**2/5 - 2704*s/5 + 1344/5 = 0.
-14, -6, 1/2, 4
Factor 3*k**3/8 - 55*k**2/4 - 831*k/8 + 301/4.
(k - 43)*(k + 7)*(3*k - 2)/8
Factor 5*c**3 + 25*c**2 - 5*c - 25.
5*(c - 1)*(c + 1)*(c + 5)
Solve -2*d**3/3 + 52*d**2 - 2944*d/3 = 0 for d.
0, 32, 46
Solve j**5 + 5*j**4 - 18*j**3 - 72*j**2 = 0 for j.
-6, -3, 0, 4
Suppose u**5/6 + 313*u**4/6 + 8005*u**3/2 - 75205*u**2/6 - 12008*u/3 + 12482 = 0. What is u?
-158, -1, 1, 3
Factor -7*j**2 + 44*j - 12.
-(j - 6)*(7*j - 2)
Factor -5*q**2 + 2040*q + 2045.
-5*(q - 409)*(q + 1)
Solve l**5/3 + l**4/3 - 2*l**3 - 4*l**2/3 + 8*l/3 = 0 for l.
-2, 0, 1, 2
Find t such that -2*t**2 + 28*t - 26 = 0.
1, 13
Factor -o**2/2 - 184*o - 16928.
-(o + 184)**2/2
Find r, given that -20*r**2 - 172*r + 192 = 0.
-48/5, 1
Factor -g**2 + 331*g - 984.
-(g - 328)*(g - 3)
Factor 3*p**2/4 + 81*p/2 + 78.
3*(p + 2)*(p + 52)/4
Suppose -4*r**3 + 16*r**2 - 4*r - 24 = 0. What is r?
-1, 2, 3
Let -h**5/5 - 16*h**4/5 + 4*h**3 + 46*h**2/5 - 83*h/5 + 34/5 = 0. Calculate h.
-17, -2, 1
Factor 3*c**2/5 - 24*c.
3*c*(c - 40)/5
Factor -4*w**2 - 112*w - 300.
-4*(w + 3)*(w + 25)
Factor n**4/2 - 639*n**3/2 - 1923*n**2/2 - 1925*n/2 - 321.
(n - 642)*(n + 1)**3/2
Find r, given that -r**2/2 + 427*r/2 + 429 = 0.
-2, 429
What is m in 2*m**2/3 + 1394*m - 4184/3 = 0?
-2092, 1
Determine i, given that 2*i**2/7 + 9364*i/7 + 10960562/7 = 0.
-2341
Factor -3*v**4 + 219*v**3 + 9*v**2 - 663*v + 438.
-3*(v - 73)*(v - 1)**2*(v + 2)
What is j in -4*j**3/7 - 4516*j**2/7 - 181120*j + 3844272/7 = 0?
-566, 3
Find y such that -5*y**5 - 175*y**4 - 1435*y**3 + 1795*y**2 + 1440*y - 1620 = 0.
-18, -1, 1
Suppose 2*b**3 + 234*b**2 + 3726*b + 16038 = 0. Calculate b.
-99, -9
Suppose -2*p**2/11 - 6508*p/11 - 5294258/11 = 0. Calculate p.
-1627
Factor -u**3 + 72*u**2 + 903*u + 830.
-(u - 83)*(u + 1)*(u + 10)
Factor 5*l**4 - 5*l**3 - 25*l**2 - 15*l.
5*l*(l - 3)*(l + 1)**2
Factor 64*v**3 + 4*v**2.
4*v**2*(16*v + 1)
Solve -2*s**5/9 - 4*s**4/3 - 16*s**3/9 + 4*s**2/9 + 2*s + 8/9 = 0 for s.
-4, -1, 1
Factor 2*d**2/3 - 2804*d/3 + 982802/3.
2*(d - 701)**2/3
Solve -p**4/5 + 3*p**3/5 + 23*p**2/5 + 33*p/5 + 14/5 = 0.
-2, -1, 7
Let d**5/3 + 2*d**4 - 11*d**3/3 - 20*d**2 + 100*d/3 = 0. Calculate d.
-5, 0, 2
Factor y**2/6 + 5440*y/3 + 14796800/3.
(y + 5440)**2/6
Factor 4*u**3/3 - 8*u**2/3.
4*u**2*(u - 2)/3
Factor -6*g**2/7 - 1269*g/7 + 636/7.
-3*(g + 212)*(2*g - 1)/7
Factor -5*u**2 - 70*u + 360.
-5*(u - 4)*(u + 18)
Factor -m**3 + 50*m**2 + 281*m - 330.
-(m - 55)*(m - 1)*(m + 6)
Factor 