5 + 453*z/5 - 228/5.
-3*(z - 1)**2*(z + 76)/5
Factor -q**2 - 2*q + 35.
-(q - 5)*(q + 7)
Factor -g**2 + 105*g - 206.
-(g - 103)*(g - 2)
Factor 4*m**2 - 264*m.
4*m*(m - 66)
Suppose -f**5 + 48*f**4 - 222*f**3 + 304*f**2 - 129*f = 0. Calculate f.
0, 1, 3, 43
Let 2*g**4 + 224*g**3 + 8208*g**2 + 92416*g - 219488 = 0. Calculate g.
-38, 2
Let -2*k**3/7 + 80*k**2/7 + 254*k/7 + 172/7 = 0. Calculate k.
-2, -1, 43
Find j, given that 2*j**2/5 + 166*j + 828/5 = 0.
-414, -1
Factor j**2/3 - 7*j - 760/3.
(j - 40)*(j + 19)/3
Suppose -18*t**4/11 + 438*t**3/11 + 5052*t**2/11 + 288*t = 0. Calculate t.
-8, -2/3, 0, 33
Solve -u**4/4 - 17*u**3/2 - 37*u**2 - 39*u/2 + 261/4 = 0.
-29, -3, 1
Suppose 2*g**3/11 + 20*g**2/11 - 46*g/11 + 24/11 = 0. Calculate g.
-12, 1
Factor -4*a**3/3 - 128*a**2/3 + 140*a.
-4*a*(a - 3)*(a + 35)/3
Factor -4*i**3 + 92*i**2 - 156*i - 252.
-4*(i - 21)*(i - 3)*(i + 1)
Suppose -3*o**2 - 15*o - 18 = 0. Calculate o.
-3, -2
Find r such that -729*r**4/4 + 8991*r**3 - 147852*r**2 + 810448*r = 0.
0, 148/9
Factor 5*g**3 - 510*g**2 - 26400*g - 284000.
5*(g - 142)*(g + 20)**2
Factor 15*j**2 + 843*j + 990.
3*(j + 55)*(5*j + 6)
Let 670482*r**4/11 + 99588*r**3/11 - 112102*r**2/11 - 8600*r/11 + 5000/11 = 0. Calculate r.
-1/3, 50/193
Find z such that 8*z**5 - 6*z**4 - 10*z**3 + 6*z**2 + 2*z = 0.
-1, -1/4, 0, 1
Suppose -j**5/3 + j**4 + 5*j**3/3 - 5*j**2 - 4*j/3 + 4 = 0. Calculate j.
-2, -1, 1, 2, 3
Factor 4*d**3/7 + 340*d**2/7 - 1424*d/7.
4*d*(d - 4)*(d + 89)/7
Factor -30*c**4/7 - 114*c**3/7 - 138*c**2/7 - 54*c/7.
-6*c*(c + 1)**2*(5*c + 9)/7
Find a, given that 4*a**2 + 104*a + 676 = 0.
-13
What is p in -p**3 + 50*p**2 - 271*p - 1290 = 0?
-3, 10, 43
Factor -2*a**3 - 1432*a**2 - 257754*a - 509796.
-2*(a + 2)*(a + 357)**2
Factor 2*x**4/11 - 26*x**3/11 + 120*x**2/11 - 224*x/11 + 128/11.
2*(x - 4)**3*(x - 1)/11
Suppose -m**4 + 18*m**3 - 97*m**2 + 144*m - 64 = 0. Calculate m.
1, 8
Determine h, given that -h**4/5 + 72*h**3 - 32399*h**2/5 - 72*h + 6480 = 0.
-1, 1, 180
Suppose 12*f**3/11 - 170*f**2/11 + 424*f/11 - 6 = 0. Calculate f.
1/6, 3, 11
Determine z so that -3*z**4 - 12*z**3 - 12*z**2 = 0.
-2, 0
Factor r**5 - 17*r**4 + 31*r**3 - 15*r**2.
r**2*(r - 15)*(r - 1)**2
Factor -d**2/12 - 1633*d/6 - 2666689/12.
-(d + 1633)**2/12
Suppose -i**2/4 - 19*i/4 + 21/2 = 0. What is i?
-21, 2
Factor s**2/8 + 7*s/4 + 13/8.
(s + 1)*(s + 13)/8
What is c in 2*c**5/5 - 16*c**4 + 202*c**3 - 644*c**2 - 1960*c - 5488/5 = 0?
-1, 14
Solve -4*k**5 - 108*k**4 - 396*k**3 + 4700*k**2 - 4224*k - 9216 = 0 for k.
-16, -1, 3
Let -v**2/2 + 39*v - 1521/2 = 0. What is v?
39
Factor 3*u**2 - 138*u + 135.
3*(u - 45)*(u - 1)
Solve i**4/2 + 71*i**3/2 + 139*i**2/2 + 69*i/2 = 0.
-69, -1, 0
Factor 2*p**2 + 28*p + 26.
2*(p + 1)*(p + 13)
Let -2*d**5/3 - 60*d**4 + 2*d**3/3 + 60*d**2 = 0. Calculate d.
-90, -1, 0, 1
Factor 5*x**5 - 20*x**4 + 15*x**3 + 20*x**2 - 20*x.
5*x*(x - 2)**2*(x - 1)*(x + 1)
Factor 2*l**2 + 242*l - 244.
2*(l - 1)*(l + 122)
Factor 3*h**2/2 - 402*h - 2439/2.
3*(h - 271)*(h + 3)/2
Factor 5*r**4 - 120*r**3 - 1665*r**2 + 5940*r.
5*r*(r - 33)*(r - 3)*(r + 12)
Factor 5*c**4 + 10*c**3 + 5*c**2.
5*c**2*(c + 1)**2
Suppose 5*x**3 + 60*x**2 - 65*x = 0. Calculate x.
-13, 0, 1
Factor c**2/5 - 13*c/5.
c*(c - 13)/5
Factor 10*b**4 + 565*b**3 - 865*b**2 + 290*b.
5*b*(b - 1)*(b + 58)*(2*b - 1)
Factor 5*v**3 - 360*v**2 + 6825*v - 12250.
5*(v - 35)**2*(v - 2)
Determine j, given that 20*j**3 - 48*j**2 - 36*j = 0.
-3/5, 0, 3
What is g in g**2 + 242*g - 1488 = 0?
-248, 6
Factor -a**2 + 18*a - 17.
-(a - 17)*(a - 1)
Factor 4*o**5 - 16*o**4 - 12*o**3 + 136*o**2 - 208*o + 96.
4*(o - 2)**3*(o - 1)*(o + 3)
Suppose -2*q**2 - 20*q + 598 = 0. What is q?
-23, 13
Factor -2*y**3/15 + 178*y**2/15 - 4048*y/15 + 3872/15.
-2*(y - 44)**2*(y - 1)/15
Factor -4*q**3 - 444*q**2 + 900*q - 452.
-4*(q - 1)**2*(q + 113)
Factor 2*f**3/7 - 36*f**2/7.
2*f**2*(f - 18)/7
Find b, given that -b**2/3 - 137*b/3 - 90 = 0.
-135, -2
Determine a so that a**5/9 - a**4/9 - a**3/3 + 5*a**2/9 - 2*a/9 = 0.
-2, 0, 1
Factor 2*r**3/11 + 20*r**2/11 - 174*r/11 + 288/11.
2*(r - 3)**2*(r + 16)/11
Solve -22*w**5/15 - 14*w**4/5 - 6*w**3/5 + 2*w**2/15 = 0.
-1, 0, 1/11
Factor f**4/6 - 23*f**3/3 + 131*f**2/6 - 43*f/3.
f*(f - 43)*(f - 2)*(f - 1)/6
Determine j so that 4*j**4/7 - 16*j**3/7 = 0.
0, 4
Solve -3*m**2 + 663*m - 2604 = 0.
4, 217
Suppose -2*s**2/11 - 192*s/11 = 0. Calculate s.
-96, 0
Solve -2*h**3 + 556*h**2 - 550*h - 1108 = 0.
-1, 2, 277
Solve -2*o**2 - 28*o + 702 = 0 for o.
-27, 13
Suppose n**3 + 214*n**2 + 843*n + 630 = 0. Calculate n.
-210, -3, -1
Determine y, given that 2*y**4 + 92*y**3 + 850*y**2 - 3224*y + 2280 = 0.
-30, -19, 1, 2
Solve -3*o**5/7 + 27*o**3/7 + 12*o**2/7 - 36*o/7 = 0 for o.
-2, 0, 1, 3
Factor -x**3/2 + 81*x**2/2 - 2187*x/2 + 19683/2.
-(x - 27)**3/2
Solve -2*k**2/7 - 2026*k/7 - 4044/7 = 0 for k.
-1011, -2
Factor 2*j**2 - 780*j.
2*j*(j - 390)
Find r, given that -2*r**4 - 22*r**3 - 54*r**2 + 22*r + 56 = 0.
-7, -4, -1, 1
Factor z**3/2 + 17*z**2/3 - 21*z/2 + 13/3.
(z - 1)*(z + 13)*(3*z - 2)/6
Factor -2*s**4/9 + 4*s**3/3 + 14*s**2/9.
-2*s**2*(s - 7)*(s + 1)/9
Solve -4*t**3 + 340*t**2 + 692*t + 348 = 0 for t.
-1, 87
Factor 2*x**3/3 - 392*x**2/3 + 20680*x/3 - 141376/3.
2*(x - 94)**2*(x - 8)/3
Suppose -2*h**5 + 10*h**4 + 58*h**3 - 146*h**2 - 416*h - 224 = 0. What is h?
-4, -1, 4, 7
Find b such that -4*b**4 - 32*b**3 + 12*b**2 + 88*b - 64 = 0.
-8, -2, 1
Factor 4*o**5 + 4*o**4 - 24*o**3 - 56*o**2 - 44*o - 12.
4*(o - 3)*(o + 1)**4
Factor 2*n**3/13 - 32*n/13.
2*n*(n - 4)*(n + 4)/13
What is z in 5*z**4/6 - 7*z**3/6 - 26*z**2/3 = 0?
-13/5, 0, 4
Determine o so that -2*o**4/7 + 140*o**3 + 2952*o**2/7 + 2956*o/7 + 986/7 = 0.
-1, 493
Factor 3*g**4 + 108*g**3 + 303*g**2 + 198*g.
3*g*(g + 1)*(g + 2)*(g + 33)
Solve -i**3/8 - 3*i**2/8 + 189*i/8 - 833/8 = 0 for i.
-17, 7
Find z such that z**2/10 - 13*z/5 + 5/2 = 0.
1, 25
Solve -2*g**3 + 59*g**2 - 137*g + 54 = 0.
1/2, 2, 27
What is d in -2*d**3/5 - 48*d**2/5 - 288*d/5 = 0?
-12, 0
Factor -n**4/5 - 764*n**3/5 - 218886*n**2/5 - 27871484*n/5 - 1330863361/5.
-(n + 191)**4/5
Determine l, given that -20*l**4 + 264*l**3 - 32*l**2 - 264*l + 52 = 0.
-1, 1/5, 1, 13
Factor -d**3/8 + 3*d**2/8 + 9*d/8 + 5/8.
-(d - 5)*(d + 1)**2/8
Let 4*v**3 - 212*v**2 = 0. What is v?
0, 53
Find c such that -8*c**5/3 - 22*c**4 - 56*c**3/3 + 34*c**2 + 28*c/3 = 0.
-7, -2, -1/4, 0, 1
Suppose 125*o**5 - 4300*o**4 + 40880*o**3 - 54080*o**2 - 174080*o - 81920 = 0. Calculate o.
-4/5, 4, 16
Solve 36*z**5 + 476*z**4 + 1652*z**3 + 884*z**2 - 2472*z - 576 = 0.
-8, -3, -2/9, 1
Solve -5*f**5 + 60*f**4 - 230*f**3 + 240*f**2 + 235*f - 300 = 0 for f.
-1, 1, 3, 4, 5
Solve -9*r**5 + 87*r**4 + 189*r**3 - 603*r**2 - 300*r + 396 = 0.
-3, -1, 2/3, 2, 11
Determine n, given that -8*n**2 - 156*n + 80 = 0.
-20, 1/2
Find b such that 3*b**3 + 210*b**2 + 609*b + 402 = 0.
-67, -2, -1
Suppose -3*g**5/5 + 3*g**4/5 + 27*g**3 + 249*g**2/5 + 24*g = 0. Calculate g.
-5, -1, 0, 8
Let 154*p**2/5 - 72*p/5 + 8/5 = 0. What is p?
2/11, 2/7
Factor -5*w**3 + 90*w**2 - 405*w.
-5*w*(w - 9)**2
Determine k, given that 3*k**5/5 + 18*k**4/5 - 483*k**3/5 - 18*k**2/5 + 96*k = 0.
-16, -1, 0, 1, 10
Factor -21*n**2/8 - 31*n/4 - 2.
-(3*n + 8)*(7*n + 2)/8
Solve 2*q**5/3 - 4*q**4 + 8*q**3 - 16*q**2/3 = 0 for q.
0, 2
Factor -2*v**3/5 + 5334*v**2/5 - 711822*v + 3553778/5.
-2*(v - 1333)**2*(v - 1)/5
Factor -o**3 + 5*o**2 + 14*o.
-o*(o - 7)*(o + 2)
Factor 2*t**2/7 + 4*t/7 - 16/7.
2*(t - 2)*(t + 4)/7
Find x, given that 6*x**3/7 - 24*x/7 = 0.
-2, 0, 2
Suppose -d**4/4 - 945*d**3/2 - 891133*d**2/4 + 446985*d - 223729 = 0. Calculate d.
-946, 1
Find d, given that -80*d**4 + 30520*d**3 - 15205*d**2 - 13330*d - 1905 = 0.
-1/4, 1, 381
Solve 3*b**3 + 24*b**2 - 132*b + 144 = 0.
-12, 2
Factor -30*q**2 - 177*q + 18.
-3*(q + 6)*(10*q - 1)
Factor 8*v**3 + 158*v**2 + 114*v.
2*v*(v + 19)*(4*v + 3)
Factor 12*r**4 - 135*r**3 + 261*r**2 - 165*r + 27.
3*(r - 9)*(r - 1)**2*(4*r - 1)
What is w in 3*w**2/5 + 42*w/5 - 2553/5 = 0?
-37, 23
Factor 5984*n**2 - 5988*n + 4.
4*(n - 1)*(1496*n - 1)
Factor -z**4 - 13*z**3 - 30*z**2 + 4*z + 40.
-(z - 1)*(z + 2)**2*(z + 10)
Factor 2*y**4 - 26*y**3 - 56*y**2 + 920*y + 2400.
2*(y - 10)**2*(y + 3)*(y + 4)
Suppose 49*h**4/6 - 91*h**3/3 + 253*h**2/6 - 26*h + 6 = 0. Calculate h.
6/7, 1
Find p su