 3
Factor -2*j**4/9 - 874*j**3/9 - 290*j**2 - 2606*j/9 - 868/9.
-2*(j + 1)**3*(j + 434)/9
Factor o**3 - 8*o**2 - 23*o + 30.
(o - 10)*(o - 1)*(o + 3)
Find b such that 5*b**2 - 920*b + 42320 = 0.
92
Suppose c**4/2 + 135*c**3 - 136*c**2 - 135*c + 271/2 = 0. Calculate c.
-271, -1, 1
Determine b, given that 3*b**3/8 - 3*b/2 = 0.
-2, 0, 2
Suppose 4*j**4 - 16*j**3 + 20*j**2 - 8*j = 0. What is j?
0, 1, 2
Determine x, given that -3*x**2/2 - 20*x + 14 = 0.
-14, 2/3
Factor -2*v**2 + 93*v/2.
-v*(4*v - 93)/2
Factor -i**3/7 + 5253*i**2/7 - 9198003*i/7 + 5368567751/7.
-(i - 1751)**3/7
Determine a so that 8*a**4/3 - 3464*a**3/3 + 376706*a**2/3 - 124704*a + 31104 = 0.
1/2, 216
Factor 3*g**4 + 36*g**3 + 108*g**2 - 96*g - 576.
3*(g - 2)*(g + 4)**2*(g + 6)
Find b such that 2*b**4/7 + 18*b**3/7 - 636*b**2/7 - 920*b + 1008 = 0.
-14, 1, 18
Let 2*z**5/7 - 26*z**4 + 4400*z**3/7 - 11608*z**2/7 - 704*z/7 + 15488/7 = 0. Calculate z.
-1, 2, 44
Determine j, given that -4*j**3/9 - 256*j**2/9 - 4756*j/9 - 6728/3 = 0.
-29, -6
Factor f**3/6 + 123*f**2 - f/6 - 123.
(f - 1)*(f + 1)*(f + 738)/6
Solve -57*l**3/5 + 14*l**2 + 8*l/5 = 0 for l.
-2/19, 0, 4/3
Factor 3*j**3 - 1908*j**2 + 404496*j - 28584384.
3*(j - 212)**3
Factor -v**3 + 77*v**2 - 1520*v + 1444.
-(v - 38)**2*(v - 1)
Factor -37565405*t**3 - 54820*t**2 - 20*t.
-5*t*(2741*t + 2)**2
Factor 4*b**3 + 4*b**2 - 8*b.
4*b*(b - 1)*(b + 2)
Factor 4*s**3 + 184*s**2 - 212*s - 1128.
4*(s - 3)*(s + 2)*(s + 47)
Let -3*b**4/2 - b**3/2 + b**2 = 0. Calculate b.
-1, 0, 2/3
What is k in 2*k**4 + 28*k**3 - 1078*k**2 - 8232*k + 172872 = 0?
-21, 14
Factor d**4 + 172*d**3 - 699*d**2 + 878*d - 352.
(d - 2)*(d - 1)**2*(d + 176)
Factor -75*d**2/2 + 8031*d/2 - 321.
-3*(d - 107)*(25*d - 2)/2
Suppose -289*c**4/10 - 2057*c**3/5 + 3379*c**2/10 + 482*c/5 + 6 = 0. What is c?
-15, -2/17, 1
Factor 4*j**3 + 16*j**2 + 12*j.
4*j*(j + 1)*(j + 3)
Factor -53*w**3 + 107*w**2 - 55*w + 1.
-(w - 1)**2*(53*w - 1)
Factor c**2/2 - 25*c - 51/2.
(c - 51)*(c + 1)/2
Find q such that q**2 - 574*q + 82369 = 0.
287
Factor 2*p**2 + 84*p + 754.
2*(p + 13)*(p + 29)
Factor 5*q**4 - 15*q**2 - 10*q.
5*q*(q - 2)*(q + 1)**2
Solve 3*o**2/5 + 312*o/5 + 309/5 = 0.
-103, -1
Determine o so that -3*o**2 - 31812*o - 84333612 = 0.
-5302
Factor -q**4/4 - 25*q**3/2 + 327*q**2/4 - 125*q + 56.
-(q - 4)*(q - 1)**2*(q + 56)/4
Let -3*a**3 + 9*a**2 + 3*a - 9 = 0. What is a?
-1, 1, 3
Determine p, given that 15*p**4 + 205*p**3 + 760*p**2 + 420*p = 0.
-7, -6, -2/3, 0
Factor -4*s**5 - 368*s**4 - 8464*s**3.
-4*s**3*(s + 46)**2
Determine l, given that -l**3/4 + 77*l**2/4 + 79*l/2 = 0.
-2, 0, 79
What is h in 4*h**3/7 + 4*h**2 - 28*h - 220/7 = 0?
-11, -1, 5
Factor d**3/2 + 9*d**2 + 16*d.
d*(d + 2)*(d + 16)/2
Factor -2*u**3/7 - 4*u**2/7 + 16*u/7.
-2*u*(u - 2)*(u + 4)/7
Factor b**4/2 + 9*b**3/2 + 27*b**2/2 + 31*b/2 + 6.
(b + 1)**2*(b + 3)*(b + 4)/2
Determine j so that -2*j**3/5 - 32*j**2/5 = 0.
-16, 0
Determine p so that -2*p**3 + 906*p**2 - 101232*p - 311904 = 0.
-3, 228
Let -2*a**4/9 + 14*a**3/9 + 2*a**2/3 - 38*a/9 - 28/9 = 0. Calculate a.
-1, 2, 7
Solve -5*f**2/2 - 3*f = 0 for f.
-6/5, 0
Factor -2*r**3/9 + 4*r**2 - 22*r/9 - 68/3.
-2*(r - 17)*(r - 3)*(r + 2)/9
Factor -25*x**4 + 185*x**3 + 594*x**2 + 544*x + 160.
-(x - 10)*(x + 1)*(5*x + 4)**2
Find c, given that -14*c**2/11 - 368*c/11 - 104/11 = 0.
-26, -2/7
Factor 8*y**3/7 + 198*y**2/7 - 482*y/7 + 108/7.
2*(y - 2)*(y + 27)*(4*y - 1)/7
Factor 5*c**2/3 + 130*c/3 - 145.
5*(c - 3)*(c + 29)/3
Let -3*b**4 - 3*b**3 + 9*b**2 + 3*b - 6 = 0. What is b?
-2, -1, 1
Factor 6*y**2/5 + 1052*y/5 - 704/5.
2*(y + 176)*(3*y - 2)/5
Let 207507*b**2/5 + 9468*b/5 + 108/5 = 0. Calculate b.
-6/263
Suppose 5*c**3 - 205*c**2 + 2320*c - 8000 = 0. Calculate c.
8, 25
Factor 2*y**2/15 + 2*y/5 + 4/15.
2*(y + 1)*(y + 2)/15
Determine f, given that 38*f**4/7 - 72*f**3/7 - 46*f**2/7 + 72*f/7 + 8/7 = 0.
-1, -2/19, 1, 2
Suppose 2*f**5 + 25*f**4 + 82*f**3 + 11*f**2 - 84*f - 36 = 0. Calculate f.
-6, -1, -1/2, 1
Factor -31250*y**3/3 + 13000*y**2/3 - 1352*y/3.
-2*y*(125*y - 26)**2/3
Suppose 4*c**3 - 8748*c**2 + 34944*c - 34928 = 0. Calculate c.
2, 2183
Find u, given that -3*u**3 + 12*u**2 - 15*u + 6 = 0.
1, 2
Find t such that 66*t**2/17 + 6926*t/17 - 420/17 = 0.
-105, 2/33
Suppose -5*m**2 + 15*m + 20 = 0. Calculate m.
-1, 4
Factor -4*z**4 - 44*z**3 - 176*z**2 - 304*z - 192.
-4*(z + 2)**2*(z + 3)*(z + 4)
Factor 5*z**2 + 7115*z.
5*z*(z + 1423)
Solve -4*r**2 - 64*r = 0 for r.
-16, 0
Factor -t**5/4 - 25*t**4/4 - 60*t**3 - 280*t**2 - 640*t - 576.
-(t + 4)**4*(t + 9)/4
Solve 4*w**5 - 76*w**3 - 120*w**2 = 0 for w.
-3, -2, 0, 5
Find o such that 5*o**2 + 420*o - 425 = 0.
-85, 1
Factor 4*a**2 + 36*a - 208.
4*(a - 4)*(a + 13)
Factor 108*h**2 - 3*h - 6.
3*(4*h - 1)*(9*h + 2)
Suppose 5*j**4/6 - 35*j**3/3 + 80*j**2/3 + 35*j/3 - 55/2 = 0. What is j?
-1, 1, 3, 11
Factor -p**2 + 215*p + 216.
-(p - 216)*(p + 1)
Find i, given that 75*i**5 - 1170*i**4 + 4068*i**3 + 5736*i**2 - 12672*i - 13824 = 0.
-6/5, 2, 8
Find b such that 3*b**5/5 - 4*b**4 + 26*b**3/5 + 32*b**2/5 - 29*b/5 - 12/5 = 0.
-1, -1/3, 1, 3, 4
Find j, given that j**2 - 490*j + 60025 = 0.
245
Factor 2*q**2/11 + 2224*q/11 + 618272/11.
2*(q + 556)**2/11
Let 3*i**4 + 132*i**3 + 378*i**2 + 372*i + 123 = 0. Calculate i.
-41, -1
Determine s so that -60*s**4 - 152*s**3 - 128*s**2 - 40*s - 4 = 0.
-1, -1/3, -1/5
Factor 4*o**5 + 4*o**4 - 16*o**3 - 16*o**2.
4*o**2*(o - 2)*(o + 1)*(o + 2)
Let j**5 - 7*j**4 + 18*j**3 - 20*j**2 + 8*j = 0. Calculate j.
0, 1, 2
Let 5*f**3/2 + 245*f**2/2 + 2875*f/2 - 3125/2 = 0. Calculate f.
-25, 1
Determine j so that 5*j**4 - 15*j**3 + 5*j**2 + 15*j - 10 = 0.
-1, 1, 2
Determine x, given that -x**4/5 - 51*x**3/5 + x**2/5 + 51*x/5 = 0.
-51, -1, 0, 1
Solve 3*f**4 - 201*f**3 - 207*f**2 + 201*f + 204 = 0.
-1, 1, 68
What is a in -5*a**2/4 - 225*a/4 = 0?
-45, 0
Factor -f**3/2 - 170*f**2 - 14450*f.
-f*(f + 170)**2/2
Suppose -4*u**3 - 1580*u**2 - 155232*u + 156816 = 0. Calculate u.
-198, 1
Solve -5*y**4 + 25*y**3 + 315*y**2 + 215*y - 550 = 0 for y.
-5, -2, 1, 11
Find h such that 173*h**5/4 + 2425*h**4/4 + 8519*h**3/4 + 147*h**2/4 = 0.
-7, -3/173, 0
Determine p, given that 4*p**2 + 52*p + 120 = 0.
-10, -3
Factor 3*a**2 + 423*a + 1242.
3*(a + 3)*(a + 138)
Suppose 4*g**2/5 - 84*g = 0. What is g?
0, 105
Find b such that -3*b**3/8 - 477*b**2/4 - 75843*b/8 = 0.
-159, 0
Factor 3*j**4 - 12*j**3 - 63*j**2.
3*j**2*(j - 7)*(j + 3)
Find n such that -12*n**5/5 - 86*n**4/5 - 34*n**3 + 2*n**2 + 222*n/5 + 36/5 = 0.
-3, -2, -1/6, 1
Find y, given that 3*y**2/4 - 141*y/4 + 315 = 0.
12, 35
Determine q, given that 6*q**5/7 - 129*q**4/7 + 591*q**3/7 - 1056*q**2/7 + 780*q/7 - 192/7 = 0.
1/2, 1, 2, 16
Factor -3*i**2/4 - 9*i/4.
-3*i*(i + 3)/4
Determine q, given that -5*q**5/2 - 23*q**4/2 - 5*q**3/2 + 51*q**2/2 - 9*q = 0.
-3, 0, 2/5, 1
Let 2*y**2 + 472*y/9 + 104/9 = 0. Calculate y.
-26, -2/9
Factor 4*g**2 + 604*g.
4*g*(g + 151)
Let 6*v**5 - 14*v**4 - 74*v**3 + 110*v**2 + 116*v - 48 = 0. Calculate v.
-3, -1, 1/3, 2, 4
Factor 33*m**2 + 123*m - 36.
3*(m + 4)*(11*m - 3)
Solve -4*j**3 - 32*j**2 - 52*j - 24 = 0 for j.
-6, -1
Determine z so that 14*z**5 - 126*z**4 + 1070*z**3/7 + 2130*z**2/7 - 88*z/7 - 24 = 0.
-1, -2/7, 2/7, 3, 7
Solve -4*d**4 + 40*d**3 - 92*d**2 + 56*d = 0.
0, 1, 2, 7
Suppose b**3/5 + 2663*b**2/5 + 1774223*b/5 + 1771561/5 = 0. Calculate b.
-1331, -1
Suppose 4*p**4 + 12*p**3 - 44*p**2 - 12*p + 40 = 0. What is p?
-5, -1, 1, 2
Factor -3*p**2/4 + 327*p/2 + 1356.
-3*(p - 226)*(p + 8)/4
Determine p, given that p**2 + 83*p/6 + 65/2 = 0.
-65/6, -3
Factor -6*p**2/11 + 362*p/11 + 244/11.
-2*(p - 61)*(3*p + 2)/11
Let -3*o**2 + 9108*o - 6912972 = 0. Calculate o.
1518
Determine r so that -3*r**4 + 14*r**3 + 7*r**2 - 10*r = 0.
-1, 0, 2/3, 5
Determine j, given that -20*j**2 - 10172*j + 4072 = 0.
-509, 2/5
Factor r**2/2 + 229*r/2 - 115.
(r - 1)*(r + 230)/2
What is z in 16*z**5 + 52*z**4 + 28*z**3 - 44*z**2 - 44*z - 8 = 0?
-2, -1, -1/4, 1
Determine z, given that -5*z**3 - 32*z**2 + 68*z + 32 = 0.
-8, -2/5, 2
Solve -2*v**2/11 - 16*v/11 - 30/11 = 0 for v.
-5, -3
Factor 4*s**3 + 1428*s**2 + 169932*s + 6740636.
4*(s + 119)**3
Factor 7*c**4/4 + c**3/2 - 7*c**2/4 - c/2.
c*(c - 1)*(c + 1)*(7*c + 2)/4
Factor -2*n**4/3 - 18278*n**3/3 - 41751520*n**2/3 + 41769800*n/3.
-2*n*(n - 1)*(n + 4