16*z**4 + 12*z**3 + 16*z**2 - 14*z.
2*z*(z - 7)*(z - 1)**2*(z + 1)
Determine i, given that -4*i**2 + 24*i + 64 = 0.
-2, 8
Factor -3*p**4/4 + 6*p**3 + 57*p**2/4 + 15*p/2.
-3*p*(p - 10)*(p + 1)**2/4
Factor d**4/12 - 11*d**3/4 + 119*d**2/12 - 29*d/4.
d*(d - 29)*(d - 3)*(d - 1)/12
Factor 3*i**3/7 + 36*i**2/7 + 15*i.
3*i*(i + 5)*(i + 7)/7
Factor 3*u**4 + 69*u**3 - 495*u**2 + 783*u.
3*u*(u - 3)**2*(u + 29)
Let -7*s**4/3 - 1201*s**3/3 - 22971*s**2 - 445113*s - 246924 = 0. Calculate s.
-57, -4/7
What is m in -8*m**4/5 - 116*m**3/5 + 228*m**2/5 + 576*m/5 = 0?
-16, -3/2, 0, 3
Suppose -2*k**2 - 102*k = 0. Calculate k.
-51, 0
Suppose 3*y**3/7 - 9*y**2/7 - 12*y/7 = 0. Calculate y.
-1, 0, 4
Factor j**4/8 - 351*j**3/8 - 1249*j**2/4 - 360*j + 716.
(j - 358)*(j - 1)*(j + 4)**2/8
What is p in 2*p**3/3 + 38*p**2/3 + 196*p/3 + 160/3 = 0?
-10, -8, -1
Factor 2*b**2/7 + 12*b/7 + 16/7.
2*(b + 2)*(b + 4)/7
Let -3*g**5/2 + 33*g**4/2 - 63*g**3 + 96*g**2 - 48*g = 0. Calculate g.
0, 1, 2, 4
Suppose 6*q**2 + 10*q - 4 = 0. What is q?
-2, 1/3
Find g, given that 2*g**3/7 - 4*g**2/7 - 46*g/7 + 120/7 = 0.
-5, 3, 4
Factor 3*x**4 - 25*x**3 + 36*x**2 + 36*x.
x*(x - 6)*(x - 3)*(3*x + 2)
Factor 2*b**3 - 5534*b**2 + 11062*b - 5530.
2*(b - 2765)*(b - 1)**2
Solve -i**2/7 - 22*i/7 - 121/7 = 0 for i.
-11
Determine r so that 4*r**5 + 7740*r**4 + 4992296*r**3 + 1073336760*r**2 - 4992300*r - 1073344500 = 0.
-645, -1, 1
Determine g so that -2*g**5 + 18*g**4 - 8*g**3 - 72*g**2 + 64*g = 0.
-2, 0, 1, 2, 8
Let -j**4 - 13*j**3 - 60*j**2 - 112*j - 64 = 0. What is j?
-4, -1
What is q in 2*q**3/15 - 4*q**2/3 - 256*q/15 - 192/5 = 0?
-4, 18
Factor -5*j**3 - 325*j**2 - 290*j + 1920.
-5*(j - 2)*(j + 3)*(j + 64)
What is y in y**2 + 124*y - 125 = 0?
-125, 1
Determine s, given that 5*s**3 - 70*s**2 + 80*s + 480 = 0.
-2, 4, 12
Solve -2*n**5 + 1884*n**4 - 447436*n**3 + 1769072*n**2 - 2203362*n + 879844 = 0.
1, 2, 469
Find j, given that -10*j**4/17 - 28*j**3/17 - 16*j**2/17 = 0.
-2, -4/5, 0
Factor -5*d**2 + 70*d + 75.
-5*(d - 15)*(d + 1)
Determine a so that a**5/4 - 21*a**4/4 - 7*a**3 + 32*a**2 + 24*a - 44 = 0.
-2, 1, 2, 22
Suppose 2*u**4/5 + 232*u**3/5 + 6248*u**2/5 - 5568*u + 5760 = 0. Calculate u.
-60, 2
Find j, given that 2*j**4/13 - 172*j**3/13 + 3866*j**2/13 - 7224*j/13 + 3528/13 = 0.
1, 42
Factor -w**3/2 - 3921*w**2/2 - 5124747*w/2 - 2232681443/2.
-(w + 1307)**3/2
Let -5*l**3 - 485*l**2 + 2520*l - 3060 = 0. What is l?
-102, 2, 3
Factor -168*x**2 + 68*x + 8.
-4*(2*x - 1)*(21*x + 2)
Factor -m**2/9 + 142*m/9 - 280/9.
-(m - 140)*(m - 2)/9
Factor -2*f**4/19 - 82*f**3/19 - 80*f**2/19.
-2*f**2*(f + 1)*(f + 40)/19
Solve 12*j**3 - 536*j**2/3 + 1312*j/3 - 256 = 0 for j.
8/9, 2, 12
Find g, given that -24*g**3/7 + 18828*g**2/7 - 4923522*g/7 + 429167001/7 = 0.
523/2
Determine d, given that 4*d**3/7 - 52*d**2/7 + 48*d/7 = 0.
0, 1, 12
Factor t**2/2 + 907*t/2.
t*(t + 907)/2
Determine j so that -4*j**2 + 9*j + 9 = 0.
-3/4, 3
Factor -2*i**2/13 + 6*i/13 + 8/13.
-2*(i - 4)*(i + 1)/13
Factor -2*d**2/7 - 310*d/7 - 612/7.
-2*(d + 2)*(d + 153)/7
Suppose 5*k**3 + 510*k**2 - 545*k - 3090 = 0. What is k?
-103, -2, 3
Factor s**3 + 57*s**2/5 + 112*s/5 + 36/5.
(s + 2)*(s + 9)*(5*s + 2)/5
Factor 2*u**4 + 7536*u**3 + 10648368*u**2 + 6687175104*u + 1574829736992.
2*(u + 942)**4
Find o such that -3*o**3 - 126*o**2 - 1440*o - 2400 = 0.
-20, -2
Factor 2*k**4/17 + 10*k**3/17 - 8*k**2/17 - 40*k/17.
2*k*(k - 2)*(k + 2)*(k + 5)/17
Determine n, given that -8*n**2/3 + 8*n - 6 = 0.
3/2
What is m in 2*m**3/15 + 8*m**2/15 - 2*m/15 - 8/15 = 0?
-4, -1, 1
Factor -2*c**4 + 80*c**3 - 76*c**2 - 80*c + 78.
-2*(c - 39)*(c - 1)**2*(c + 1)
Factor 8*s**3 + 44*s**2 + 105*s/2 + 18.
(s + 4)*(4*s + 3)**2/2
Suppose -2*f**5 + 14*f**4 - 20*f**3 - 40*f**2 + 112*f - 64 = 0. Calculate f.
-2, 1, 2, 4
Let -36*q**3 - 142*q**2 - 100*q + 6 = 0. What is q?
-3, -1, 1/18
Determine a, given that -5*a**4/4 - 65*a**3/4 - 265*a**2/4 - 415*a/4 - 105/2 = 0.
-7, -3, -2, -1
Let g**3/7 + 17*g**2/7 - 18*g/7 = 0. Calculate g.
-18, 0, 1
Determine d, given that -2*d**4 - 40*d**3 - 126*d**2 + 40*d + 128 = 0.
-16, -4, -1, 1
Solve x**4/4 + 55*x**3/4 - 171*x**2/4 + 173*x/4 - 29/2 = 0 for x.
-58, 1
Factor u**4/2 + 3*u**3 + 5*u**2/2 - 6*u.
u*(u - 1)*(u + 3)*(u + 4)/2
Factor -f**3/4 - 851*f**2/4 + 213*f.
-f*(f - 1)*(f + 852)/4
Factor o**3/2 - 15*o**2/2 - 48*o - 40.
(o - 20)*(o + 1)*(o + 4)/2
Suppose -10*u**3 - 66*u**2 - 126*u - 54 = 0. What is u?
-3, -3/5
Factor 4*m**2 - 312*m - 316.
4*(m - 79)*(m + 1)
Let -5*i**3 - 100*i**2 - 620*i - 1200 = 0. What is i?
-10, -6, -4
Factor -5*r**4 - 10*r**3 + 315*r**2.
-5*r**2*(r - 7)*(r + 9)
Factor 5*g**3/4 + 117*g**2/4 - 37*g/2 - 12.
(g - 1)*(g + 24)*(5*g + 2)/4
Suppose -2*w**2 - 248*w - 7688 = 0. Calculate w.
-62
Determine u, given that -2*u**4/3 - 38*u**3/3 - 84*u**2 - 216*u - 144 = 0.
-6, -1
Find y such that 3*y**3/4 + 15*y**2 + 399*y/4 + 441/2 = 0.
-7, -6
Suppose -g**3/2 - 39*g**2/2 - 399*g/2 - 361/2 = 0. Calculate g.
-19, -1
Solve -3*s**4/4 + 6*s**3 + 9*s**2/4 - 33*s/2 - 12 = 0 for s.
-1, 2, 8
Factor -2*h**2/7 - 10*h/7 - 8/7.
-2*(h + 1)*(h + 4)/7
Factor -4*m**2 - 12*m + 216.
-4*(m - 6)*(m + 9)
Determine b so that 2*b**4/23 - 4532*b**3/23 + 2562842*b**2/23 + 5139288*b/23 + 2571912/23 = 0.
-1, 1134
Determine m, given that -3*m**2 - 1230*m = 0.
-410, 0
Find p, given that -2*p**3/13 + 72*p**2/13 = 0.
0, 36
Suppose 9*v**5/7 - 111*v**4/7 + 522*v**3/7 - 162*v**2 + 1053*v/7 - 243/7 = 0. What is v?
1/3, 3
Solve -128*h**5/7 + 800*h**4/7 + 23752*h**3/7 - 862*h**2 - 212*h + 374/7 = 0.
-11, -1/4, 1/4, 17
Find p, given that -p**4 + 277*p**3 - 275*p**2 - 277*p + 276 = 0.
-1, 1, 276
Let 4*t**4 - 204*t**3 + 772*t**2 - 948*t + 376 = 0. Calculate t.
1, 2, 47
Factor 4*p**4 - 4*p**3 - 147*p**2 - 142*p - 35.
(p - 7)*(p + 5)*(2*p + 1)**2
Factor 2*s**2 + 2*s.
2*s*(s + 1)
Determine k so that -4*k**2 + 276*k + 568 = 0.
-2, 71
Factor -t**2 - 322*t/5 - 128/5.
-(t + 64)*(5*t + 2)/5
Find v such that 4*v**2 + 2224*v + 4432 = 0.
-554, -2
Determine d, given that 4*d**3 + 10*d**2 - 18*d - 36 = 0.
-3, -3/2, 2
Suppose 2*h**3 - 600*h**2 + 2958*h - 2360 = 0. Calculate h.
1, 4, 295
What is w in 12*w**5 + 1491*w**4 + 46488*w**3 + 10041*w**2 - 46500*w - 11532 = 0?
-62, -1, -1/4, 1
Factor -4*h**3 + 12*h**2 - 16.
-4*(h - 2)**2*(h + 1)
Factor -n**3/8 - 199*n**2/4 + n/8 + 199/4.
-(n - 1)*(n + 1)*(n + 398)/8
Factor -j**2/4 - j/2 - 1/4.
-(j + 1)**2/4
Factor -m**2 + 11*m.
-m*(m - 11)
Find g such that 5*g**3/2 - 81*g**2 + 219*g/2 - 31 = 0.
2/5, 1, 31
Solve -15*q**5/4 + 33*q**4/8 + 33*q**3/8 - 39*q**2/8 - 3*q/8 + 3/4 = 0 for q.
-1, -2/5, 1/2, 1
Factor 3*q**4 - 33*q**3 - 120*q**2 - 84*q.
3*q*(q - 14)*(q + 1)*(q + 2)
Solve -2*z**2/5 + 12*z/5 + 14/5 = 0.
-1, 7
Determine n so that -n**5/5 - n**4 - 2*n**3/5 + 14*n**2/5 + 3*n/5 - 9/5 = 0.
-3, -1, 1
Solve -8*r**4/7 + 6*r**3 - 74*r**2/7 + 48*r/7 - 8/7 = 0 for r.
1/4, 1, 2
Let -q**5/6 + q**4/2 + 2*q**3/3 - 8*q**2/3 + 8/3 = 0. Calculate q.
-2, -1, 2
Factor x**4/3 - 12*x**3 + 95*x**2 + 722*x/3.
x*(x - 19)**2*(x + 2)/3
Solve 9*o**5 + 117*o**4/2 - 107*o**3/2 - 164*o**2 - 70*o = 0 for o.
-7, -5/6, -2/3, 0, 2
Solve -2*w**4/3 - 47*w**3/3 - 21*w**2 + 68*w/3 + 44/3 = 0 for w.
-22, -2, -1/2, 1
Determine k so that 3*k**3/7 - 150*k**2/7 + 1131*k/7 - 984/7 = 0.
1, 8, 41
Factor 3*c**3/5 - 3*c**2/5 - 336*c/5 + 132.
3*(c - 10)*(c - 2)*(c + 11)/5
Suppose -4*a**5 + 95*a**4/2 - 30*a**3 - 185*a**2/2 - 11*a = 0. Calculate a.
-1, -1/8, 0, 2, 11
Determine i so that 2*i**4 - 8*i**3 - 14*i**2 + 68*i - 48 = 0.
-3, 1, 2, 4
Factor -4*h**3 - 172*h**2 - 332*h - 164.
-4*(h + 1)**2*(h + 41)
Factor -2*b**3 - 172*b**2 - 3698*b.
-2*b*(b + 43)**2
Factor 4*v**3/5 - 4*v**2/5 - 2708*v/5 - 540.
4*(v - 27)*(v + 1)*(v + 25)/5
Factor l**3/6 + 5*l**2/6 + l.
l*(l + 2)*(l + 3)/6
Determine r, given that 2*r**4/7 + 4*r**3/7 - 6*r**2/7 - 16*r/7 - 8/7 = 0.
-2, -1, 2
Factor 5*s**5 - 10*s**4 - 45*s**3 + 90*s**2.
5*s**2*(s - 3)*(s - 2)*(s + 3)
Factor 2*b**5/5 + 2*b**4/5 - 2*b**3/5 - 2*b**2/5.
2*b**2*(b - 1)*(b + 1)**2/5
Determine c so that 3*c**5/5 + 2*c**4 - 3*c**3/5 - 38*c**2/5 - 36*c/5 - 8/5 = 0.
-2, -1, -1/3, 2
Factor -5*i**3 + 415*i**2 - 6975*i - 70875.
-5*(i - 45)**2*(i + 7)
Find s such that 2*s**5/15 - 14*s**4/15 - 4*s**3/15 + 92*s**2/15 + 26*s/3 + 10/3 = 0.
-1, 5
Suppose -o**2/9 + 3*o + 28/9 = 0. Cal