 f so that -3*f**2 + 1110*f - 2208 = 0.
2, 368
What is o in -4*o**3/5 + 24*o**2/5 + 4*o/5 - 24/5 = 0?
-1, 1, 6
Factor 10*o**3 - 5*o**2 - 65*o - 30.
5*(o - 3)*(o + 2)*(2*o + 1)
Determine z, given that -3*z**2 - 27*z + 66 = 0.
-11, 2
Factor -2*q**2 + 172*q - 170.
-2*(q - 85)*(q - 1)
Solve p**5/11 + 4*p**4/11 - 5*p**3/11 - 20*p**2/11 + 4*p/11 + 16/11 = 0 for p.
-4, -2, -1, 1, 2
Let -p**3/5 + 2364*p**2/5 - 1862832*p/5 + 489303872/5 = 0. What is p?
788
Find p, given that -3*p**3 - 171*p**2 + 534*p - 360 = 0.
-60, 1, 2
Solve 5*s**4 - 120*s**3 - 5*s**2 + 120*s = 0.
-1, 0, 1, 24
Find v, given that -16*v**5 + 176*v**4 - 228*v**3 - 2592*v**2 + 7344*v - 5184 = 0.
-4, 3/2, 6
Solve -4*g**3/9 - 40*g**2/9 + 428*g/9 - 272/3 = 0 for g.
-17, 3, 4
Factor 3*g**2 - 510*g + 21675.
3*(g - 85)**2
Solve 4*f**4 - 135*f**3 + 970*f**2 + 1395*f + 286 = 0 for f.
-1, -1/4, 13, 22
Factor -5*z**3 + 150*z**2 - 1135*z + 1710.
-5*(z - 19)*(z - 9)*(z - 2)
Factor -3*u**5/7 + 81*u**4/7 - 150*u**3/7.
-3*u**3*(u - 25)*(u - 2)/7
Factor -2*v**3 - 10*v**2 + 114*v - 198.
-2*(v - 3)**2*(v + 11)
Suppose p**4/3 - p**3/3 - 10*p**2/3 - 8*p/3 = 0. Calculate p.
-2, -1, 0, 4
Determine w so that -5*w**5 - 58*w**4 - 36*w**3 + 424*w**2 - 160*w = 0.
-10, -4, 0, 2/5, 2
Find z, given that 2*z**4 - 10*z**3 + 16*z**2 - 8*z = 0.
0, 1, 2
Factor -7*m**3/6 + 27*m**2/2 + 6*m.
-m*(m - 12)*(7*m + 3)/6
Solve 2*z**5/5 + 2*z**4 - 68*z**3/5 + 44*z**2/5 + 66*z/5 - 54/5 = 0.
-9, -1, 1, 3
Solve -3*o**4/4 - 3*o**3/2 + 9*o**2/4 + 3*o - 3 = 0 for o.
-2, 1
Factor -j**3/3 - 1214*j**2 + j/3 + 1214.
-(j - 1)*(j + 1)*(j + 3642)/3
Factor -2*x**2/5 + 14*x/5 - 12/5.
-2*(x - 6)*(x - 1)/5
Find q such that -2*q**2/5 + 108*q/5 = 0.
0, 54
Factor 80*g**2 - 295*g - 100.
5*(g - 4)*(16*g + 5)
Suppose -154*r**4/9 - 116*r**3/3 - 70*r**2/3 + 8*r/9 + 8/3 = 0. Calculate r.
-1, -6/11, 2/7
Factor -2*a**2/13 - 2168*a/13 + 2170/13.
-2*(a - 1)*(a + 1085)/13
Factor 2*r**5 + 9*r**4/2 + r**3.
r**3*(r + 2)*(4*r + 1)/2
Let -3*w**3 - 489*w**2 - 20640*w - 57600 = 0. Calculate w.
-80, -3
Find s, given that 2*s**5/5 + 6*s**4/5 - 2*s**3 - 6*s**2/5 + 8*s/5 = 0.
-4, -1, 0, 1
Solve -2*f**3/5 - 12*f**2 - 378*f/5 + 88 = 0 for f.
-20, -11, 1
Solve -i**3/3 + 41*i**2/3 - 440*i/3 + 400/3 = 0.
1, 20
Factor 21*u**2 - 513*u - 300.
3*(u - 25)*(7*u + 4)
Determine t so that 3*t**3 - 138*t**2 + 1107*t - 972 = 0.
1, 9, 36
Solve -2*s**4/11 - 10*s**3/11 = 0.
-5, 0
Determine o so that o**2 - 322*o - 323 = 0.
-1, 323
Let 2*k**2/5 - 4*k/5 = 0. Calculate k.
0, 2
Let -2*a**5 + 8*a**4 + 24*a**3 + 4*a**2 - 22*a - 12 = 0. Calculate a.
-1, 1, 6
Factor k**3/2 - 274*k**2/3 + 301*k/2 + 181/3.
(k - 181)*(k - 2)*(3*k + 1)/6
Determine g, given that -g**4 + 3*g**3 - 2*g**2 = 0.
0, 1, 2
Solve 5*u**2/3 + 5*u/3 - 10/3 = 0.
-2, 1
Suppose 3*i**2/4 + 193*i/2 - 129/4 = 0. Calculate i.
-129, 1/3
Determine j so that -j**2/2 + 72*j = 0.
0, 144
Find o, given that o**4 + 7*o**3 + 2*o**2 - 28*o - 24 = 0.
-6, -2, -1, 2
Factor -2*i**2 - 1476*i.
-2*i*(i + 738)
Factor 3*c**4 + 597*c**3 + 29394*c**2 - 31200*c - 60000.
3*(c - 2)*(c + 1)*(c + 100)**2
Suppose -3*b**5/8 + 27*b**4/2 - 123*b**3/2 + 429*b**2/4 - 657*b/8 + 93/4 = 0. Calculate b.
1, 2, 31
Factor 5*f**3 - 8045*f**2 + 3232075*f + 3240125.
5*(f - 805)**2*(f + 1)
Suppose -4*l**5 + 16*l**4 + 156*l**3 - 216*l**2 - 2160*l - 2592 = 0. Calculate l.
-3, -2, 6
Factor 4*c**2 - 892*c + 888.
4*(c - 222)*(c - 1)
Determine q so that -2*q**4 + 30*q**3 + 102*q**2 + 106*q + 36 = 0.
-1, 18
Find r, given that 5*r**2 + 665*r - 670 = 0.
-134, 1
Factor -g**4 - 26*g**3 - 49*g**2 - 24*g.
-g*(g + 1)**2*(g + 24)
Suppose 2*r**4 + 18*r**3 - 6*r**2 - 50*r + 36 = 0. What is r?
-9, -2, 1
Suppose 4*b**5 - 8*b**4 - 16*b**3 + 32*b**2 = 0. Calculate b.
-2, 0, 2
Let -n**2 - 223*n - 442 = 0. What is n?
-221, -2
Factor o**2/7 - 2*o/7.
o*(o - 2)/7
Factor -3*u**2 - 66*u.
-3*u*(u + 22)
Suppose -2*g**5/3 + 448*g**4/9 - 944*g**3 + 4444*g**2/9 + 6290*g/3 + 5476/9 = 0. What is g?
-1, -1/3, 2, 37
Factor 5*w**2 - 490*w + 485.
5*(w - 97)*(w - 1)
Factor -m**5/4 + 15*m**4/4 - 63*m**3/4 + 49*m**2/4.
-m**2*(m - 7)**2*(m - 1)/4
Determine v so that v**4 - 139*v**3 + 5165*v**2 - 23249*v + 26934 = 0.
2, 3, 67
Factor -3*u**2/4 - 12*u - 48.
-3*(u + 8)**2/4
What is c in 5*c**4 + 55*c**3 - 5*c**2 - 55*c = 0?
-11, -1, 0, 1
Factor -d**4 - 27*d**3 + d**2 + 27*d.
-d*(d - 1)*(d + 1)*(d + 27)
Factor -v**2/2 + 23*v - 45/2.
-(v - 45)*(v - 1)/2
Suppose 2*a**4/7 + 20*a**3 - 894*a**2/7 + 1360*a/7 - 608/7 = 0. Calculate a.
-76, 1, 4
Factor o**4/6 - 9*o**3/2 + 83*o**2/3 + 42*o - 196/3.
(o - 14)**2*(o - 1)*(o + 2)/6
Factor -5*o**2 - 360*o.
-5*o*(o + 72)
Find o, given that -4*o**4 + 112*o**3 + 920*o**2 + 2064*o + 1260 = 0.
-3, -1, 35
Factor q**4/3 - 55*q**3/3 - q**2/3 + 55*q/3.
q*(q - 55)*(q - 1)*(q + 1)/3
Determine m, given that m**3 + 97*m**2 + 190*m = 0.
-95, -2, 0
Factor 2*i**5/3 + 342*i**4 + 2044*i**3/3.
2*i**3*(i + 2)*(i + 511)/3
Solve 3*b**4 + 2283*b**3 + 433197*b**2 - 435483*b = 0.
-381, 0, 1
What is r in 4*r**3 + 820*r**2 + 42432*r + 41616 = 0?
-102, -1
Find j such that 6*j**4 + 230*j**3 + 514*j**2 + 362*j + 72 = 0.
-36, -1, -1/3
Factor -a**4 - 18*a**3 + 75*a**2 + 1708*a - 1764.
-(a - 9)*(a - 1)*(a + 14)**2
Determine c so that 2*c**5/7 + 10*c**4/7 - 10*c**3/7 - 50*c**2/7 + 8*c/7 + 40/7 = 0.
-5, -2, -1, 1, 2
Factor 2*t**3 - 99*t**2/2 + 145*t/4 - 6.
(t - 24)*(2*t - 1)*(4*t - 1)/4
Determine k, given that 4*k**4 + 100*k**3 + 672*k**2 + 576*k = 0.
-12, -1, 0
Suppose -r**2/7 - 3233*r/7 = 0. Calculate r.
-3233, 0
What is z in 7*z**5/2 - z**4 - 9*z**3/2 = 0?
-1, 0, 9/7
Determine f so that -3*f**4 + 933*f**3 - 70134*f**2 - 380148*f + 449352 = 0.
-6, 1, 158
Factor -44*z**2/5 - 52*z/5 - 8/5.
-4*(z + 1)*(11*z + 2)/5
Suppose -5*s**5/2 + 25*s**3/2 - 10*s = 0. Calculate s.
-2, -1, 0, 1, 2
Factor 2*o**2/9 - 80*o/9 + 256/3.
2*(o - 24)*(o - 16)/9
Factor y**4/10 - 99*y**3/10 - 3*y**2/10 + 59*y/2 + 99/5.
(y - 99)*(y - 2)*(y + 1)**2/10
Factor 2*r**4 + 10*r**3 - 34*r**2 - 42*r.
2*r*(r - 3)*(r + 1)*(r + 7)
Solve 2*w**3 - 954*w**2 + 1902*w - 950 = 0 for w.
1, 475
Suppose -2*o**4 + 26*o**3 + 38*o**2 - 146*o + 84 = 0. Calculate o.
-3, 1, 14
Factor 56*l**2 + 13036*l - 2796.
4*(l + 233)*(14*l - 3)
Factor 16*u**2 + 2660*u + 664.
4*(u + 166)*(4*u + 1)
Factor -3*r**2 - 193*r - 552.
-(r + 3)*(3*r + 184)
Determine y so that y**4/3 + 57*y**3 - y**2 - 511*y/3 + 114 = 0.
-171, -2, 1
Factor m**3 - 10*m**2 - 11*m.
m*(m - 11)*(m + 1)
Find u, given that 5*u**4/4 - 65*u**3/2 + 565*u**2/4 - 215*u + 105 = 0.
1, 2, 21
Find f such that -3*f**4 + 27*f**3 - 39*f**2 - 135*f + 150 = 0.
-2, 1, 5
Let 9*n**2/5 + 173*n/5 + 38/5 = 0. Calculate n.
-19, -2/9
Factor 3*a**4 - 22*a**3 + 16*a**2/3 + 34*a/3 + 7/3.
(a - 7)*(a - 1)*(3*a + 1)**2/3
Determine o, given that -o**2 + 127*o - 492 = 0.
4, 123
Find o such that -54*o**5 + 1348*o**4 - 9022*o**3 + 7440*o**2 + 288*o = 0.
-1/27, 0, 1, 12
Factor -m**2/4 - m/4 + 3.
-(m - 3)*(m + 4)/4
Factor 2*w**3/15 - 366*w**2/5 + 49306*w/5 + 153458/3.
2*(w - 277)**2*(w + 5)/15
Factor 2*j**4 - 5*j**3 + 2*j**2.
j**2*(j - 2)*(2*j - 1)
Factor 3*d**4/7 - 216*d**3/7 + 3666*d**2/7 + 7992*d/7 + 4107/7.
3*(d - 37)**2*(d + 1)**2/7
Factor -4*u**3/3 - 6500*u**2 - 10562500*u - 17164062500/3.
-4*(u + 1625)**3/3
Factor f**4/6 - 7*f**3/2 - 27*f**2 + 434*f/3 - 156.
(f - 26)*(f - 2)**2*(f + 9)/6
Find h, given that -h**2/7 - 37*h/7 - 330/7 = 0.
-22, -15
Factor 2*j**3 - 14*j**2 - 82*j - 66.
2*(j - 11)*(j + 1)*(j + 3)
Let -15*o**2 - 190*o + 65 = 0. What is o?
-13, 1/3
Solve -2*r**3/5 + 684*r**2/5 - 1362*r/5 + 136 = 0.
1, 340
Factor j**5 - j**4 - 2*j**3.
j**3*(j - 2)*(j + 1)
Factor 3*w**3 - 255*w**2 + 5544*w - 5292.
3*(w - 42)**2*(w - 1)
Solve -5*c**3 + 75*c**2 - 2500 = 0.
-5, 10
Solve -r**4/6 - 172*r**3/3 - 14444*r**2/3 + 19952*r - 20184 = 0.
-174, 2
Factor -2*v**3/7 + 18*v**2/7 - 30*v/7 + 2.
-2*(v - 7)*(v - 1)**2/7
What is r in -2*r**2 - 304*r + 2898 = 0?
-161, 9
Factor -i**4 - 3*i**3 + 36*i**2 + 108*i.
-i*(i - 6)*(i + 3)*(i + 6)
Determine v so that -3*v**5 + 114*v**4 - 804*v**3 - 1038*v**2 + 807*v + 924 = 0.
-1, 1, 11, 28
Solve -6*z**2 - 33*z = 0 for z.
-11/2, 0
Solve -3*y**3 - 105*y**2 - 741*y + 3249 = 0.
-19, 3
Determine u, given that -5*u**4 + 10*u**3 + 5*u**2 - 10*u = 0.
-1, 0, 1, 2
Let -5*i**3/4 - 1495*i**2/4 + 5*i + 1495 = 0. What is i?
-299, -2, 2
F