 + 7.
(d - 7)*(d - 1)*(d + 1)
Factor 3*d**3/4 + 135*d**2/2 - 750*d.
3*d*(d - 10)*(d + 100)/4
Factor -c**4/6 - c**3/6 + 5*c**2.
-c**2*(c - 5)*(c + 6)/6
Find d such that 2*d**4 - 137*d**3 + 3105*d**2 - 22747*d - 12167 = 0.
-1/2, 23
Factor -458882*m**2/11 + 9580*m/11 - 50/11.
-2*(479*m - 5)**2/11
Factor -s**4/2 - s**3 + s**2/2 + s.
-s*(s - 1)*(s + 1)*(s + 2)/2
Factor -c**2/7 - 50*c/7 - 625/7.
-(c + 25)**2/7
Factor 3*h**2/5 + 204*h/5 + 621.
3*(h + 23)*(h + 45)/5
Factor -q**2/4 - 3*q/2 - 2.
-(q + 2)*(q + 4)/4
Determine b so that -4*b**4/3 + 152*b**3/3 - 416*b**2/3 - 152*b/3 + 140 = 0.
-1, 1, 3, 35
Factor -2*o**5/13 - 2*o**4 - 70*o**3/13 + 98*o**2/13.
-2*o**2*(o - 1)*(o + 7)**2/13
Factor 3*l**5/7 + 51*l**4/7 + 264*l**3/7 + 432*l**2/7.
3*l**2*(l + 4)**2*(l + 9)/7
Determine o, given that 4*o**5/3 - 4000*o**4/3 - 2672*o**3 - 8*o**2/3 + 8012*o/3 + 1336 = 0.
-1, 1, 1002
Factor 4*l**2 + 2264*l + 2260.
4*(l + 1)*(l + 565)
Factor 3*s**2 - 102*s - 216.
3*(s - 36)*(s + 2)
Factor -3*d**3 + 3781*d**2 - 5037*d + 1259.
-(d - 1259)*(d - 1)*(3*d - 1)
Factor 2*s**4/3 - 4*s**3/3 + 2*s**2/3.
2*s**2*(s - 1)**2/3
Determine t, given that -3*t**2/2 + 4707*t - 7385283/2 = 0.
1569
Factor -o**4/3 + 32*o**3/3 - 30*o**2 + 88*o/3 - 29/3.
-(o - 29)*(o - 1)**3/3
Suppose -2*p**2/19 + 278*p/19 + 852/19 = 0. Calculate p.
-3, 142
Factor -2*s**2 + 1100*s.
-2*s*(s - 550)
Solve -4*k**3 - 2528*k**2 - 10064*k - 10048 = 0 for k.
-628, -2
What is f in f**4/5 - 122*f**3/5 - 628*f**2/5 - 886*f/5 - 381/5 = 0?
-3, -1, 127
Factor 2*q**2 - 8*q.
2*q*(q - 4)
Determine y so that y**4/4 - 13*y**3/4 + 15*y**2/2 + y - 10 = 0.
-1, 2, 10
Let 2*t**5 - 30*t**3 - 20*t**2 + 48*t = 0. What is t?
-3, -2, 0, 1, 4
Solve -5*u**3/3 - 10*u**2 + 95*u/3 + 40 = 0.
-8, -1, 3
Find p, given that -16*p**4 - 12*p**3 + 148*p**2 + 108*p - 36 = 0.
-3, -1, 1/4, 3
Factor o**5 + 17*o**4 + 55*o**3 - 213*o**2 - 432*o + 972.
(o - 2)**2*(o + 3)*(o + 9)**2
Factor 3*i**3/7 + 93*i**2/7 + 765*i/7 + 675/7.
3*(i + 1)*(i + 15)**2/7
Factor a**3 + 40*a**2 - 41*a.
a*(a - 1)*(a + 41)
Factor w**5/2 + w**4 - 215*w**3/2 - 404*w**2 + 5984*w + 30976.
(w - 11)**2*(w + 8)**3/2
What is z in -3*z**2/7 + 54*z/7 + 57/7 = 0?
-1, 19
Solve -2*t**3/15 - 4*t**2/5 - 16*t/15 = 0.
-4, -2, 0
Suppose -2*a**4/3 - 8*a**3/3 + 18*a**2 - 76*a/3 + 32/3 = 0. Calculate a.
-8, 1, 2
Find h, given that 2*h**3/3 - 110*h**2/3 + 1456*h/3 + 1568/3 = 0.
-1, 28
Find f such that -6*f**3/11 - 100*f**2/11 - 298*f/11 - 156/11 = 0.
-13, -3, -2/3
Find p, given that -p**5 - 4*p**4 - 3*p**3 + 4*p**2 + 4*p = 0.
-2, -1, 0, 1
Factor 5*i**3 + 430*i**2 - 45*i - 3870.
5*(i - 3)*(i + 3)*(i + 86)
Factor 4*l**4 + 8*l**3 - 4*l**2 - 8*l.
4*l*(l - 1)*(l + 1)*(l + 2)
Solve 3*d**5 + 318*d**4 + 8097*d**3 - 17814*d**2 - 8100*d + 17496 = 0.
-54, -1, 1, 2
Factor -3*o**3 - 39441*o**2 - 129652425*o - 129612987.
-3*(o + 1)*(o + 6573)**2
Determine s so that 3*s**4 + 93*s**3 + 90*s**2 = 0.
-30, -1, 0
Factor 5*o**3 - 110*o**2 + 575*o - 750.
5*(o - 15)*(o - 5)*(o - 2)
Factor -5*v**3 + 235*v**2 + 2165*v + 1925.
-5*(v - 55)*(v + 1)*(v + 7)
Solve 27*q**3/2 - 996*q**2 - 4434*q - 936 = 0.
-4, -2/9, 78
Factor -2*a**4/7 + 2*a**3/7 + 8*a**2/7 - 8*a/7.
-2*a*(a - 2)*(a - 1)*(a + 2)/7
Solve 3*a**5/7 - 27*a**4/7 + 18*a**3/7 + 318*a**2/7 - 405*a/7 - 675/7 = 0.
-3, -1, 3, 5
Find t, given that 2*t**5/7 + 542*t**4/7 + 54944*t**3/7 + 351424*t**2 + 40247296*t/7 - 42762752/7 = 0.
-68, 1
Factor -o**2/2 - 2*o - 3/2.
-(o + 1)*(o + 3)/2
Solve o**2 - 8*o - 9 = 0.
-1, 9
Determine g so that 5*g**5/7 + 57*g**4/7 + 157*g**3/7 + 179*g**2/7 + 90*g/7 + 16/7 = 0.
-8, -1, -2/5
Find d such that 2*d**2 - 736*d + 67712 = 0.
184
Let 5*r**3 - 140*r**2 + 825*r + 2250 = 0. Calculate r.
-2, 15
Solve 2*j**4/17 + 10*j**3/17 + 12*j**2/17 = 0.
-3, -2, 0
Factor 10*d**3 - 105*d**2 + 35*d + 150.
5*(d - 10)*(d + 1)*(2*d - 3)
Let -5*w**5/4 + 165*w**4/4 - 1335*w**3/4 + 4555*w**2/4 - 1770*w + 1035 = 0. Calculate w.
2, 3, 23
Find c such that -3*c**3 - 30*c**2 + 3*c + 30 = 0.
-10, -1, 1
Factor 2*h**3/3 - 176*h**2 + 522*h.
2*h*(h - 261)*(h - 3)/3
Let 3*y**2 + 4776*y - 4779 = 0. Calculate y.
-1593, 1
Factor 9*c**4/5 - 47*c**3/5 + 3*c**2/5 + 7*c.
c*(c - 5)*(c - 1)*(9*c + 7)/5
Factor -2*w**3/5 - 12*w**2/5 - 16*w/5.
-2*w*(w + 2)*(w + 4)/5
What is d in 36*d**5 + 24*d**4 - 56*d**3 - 32*d**2 + 20*d + 8 = 0?
-1, -1/3, 2/3, 1
Solve 162*j**3 + 774*j**2 + 992*j + 384 = 0 for j.
-3, -8/9
Determine h, given that -3*h**2 + 78*h - 495 = 0.
11, 15
Factor -4*u**3 - 12*u**2 + 40*u + 96.
-4*(u - 3)*(u + 2)*(u + 4)
Determine r, given that 3*r**2 + 270*r + 6075 = 0.
-45
Determine x, given that -x**3/3 - 2434*x**2/3 - 492884*x + 989016 = 0.
-1218, 2
Solve 2*f**2/5 + 92*f/5 - 94/5 = 0 for f.
-47, 1
Factor -2*j**3/9 - 8*j**2/9 - 10*j/9 - 4/9.
-2*(j + 1)**2*(j + 2)/9
Factor 5*z**2 - 15*z - 20.
5*(z - 4)*(z + 1)
Factor -3*o**2/5 - 3144*o/5 - 823728/5.
-3*(o + 524)**2/5
Factor -v**4/11 - 10*v**3/11 + 423*v**2/11 - 2268*v/11.
-v*(v - 9)**2*(v + 28)/11
Suppose -h**5 - 6*h**4 - h**3 + 24*h**2 + 20*h = 0. What is h?
-5, -2, -1, 0, 2
Find y, given that 4*y**2 - 46*y + 529/4 = 0.
23/4
Suppose 4*g**5 - 9*g**4 - 14*g**3 + 36*g**2 - 8*g = 0. Calculate g.
-2, 0, 1/4, 2
Factor -2*k**3 + 138*k**2 - 262*k - 402.
-2*(k - 67)*(k - 3)*(k + 1)
Let -3*z**4 - 95*z**3 - 320*z**2 - 340*z - 112 = 0. What is z?
-28, -2, -1, -2/3
Factor -4*n**5 - 52*n**4 + 180*n**3 - 188*n**2 + 64*n.
-4*n*(n - 1)**3*(n + 16)
What is f in 5*f**2 + 30*f + 40 = 0?
-4, -2
Factor 375*l**4 - 150*l**3 - 300*l**2 - 72*l.
3*l*(5*l - 6)*(5*l + 2)**2
Factor -2*f**3/21 + 134*f**2/7.
-2*f**2*(f - 201)/21
Solve 3*i**2/7 + 249*i/7 + 414 = 0.
-69, -14
Suppose 4*d**4/3 + 3820*d**3/3 - 3824*d**2/3 = 0. Calculate d.
-956, 0, 1
Find r, given that r**2 - 682*r + 116281 = 0.
341
Determine f, given that f**4 - 506*f**3 + 1009*f**2 - 504*f = 0.
0, 1, 504
Factor -3*z**4 + 17040*z**3 - 36295200*z**2 + 34359456000*z - 12197606880000.
-3*(z - 1420)**4
Suppose 10*t**5/7 + 4*t**4/7 - 120*t**3/7 + 16*t**2 + 64*t/7 = 0. Calculate t.
-4, -2/5, 0, 2
Find n such that -25*n**3 - 585*n**2 - 1280*n - 420 = 0.
-21, -2, -2/5
Solve 4*y**3 + 200*y**2 + 2288*y - 5408 = 0 for y.
-26, 2
Find v, given that 9*v**3 + 129*v**2 - 7416*v + 4884 = 0.
-37, 2/3, 22
Suppose g**4/5 - 7*g**3/5 - 37*g**2/5 + 35*g + 588/5 = 0. What is g?
-4, -3, 7
Factor 2*o**2 + 752*o + 70688.
2*(o + 188)**2
Solve -3*l**2 + 183*l + 186 = 0 for l.
-1, 62
Factor 4*z**3 + 1512*z**2 + 190512*z + 8001504.
4*(z + 126)**3
Factor v**2/4 + 135*v/2 + 134.
(v + 2)*(v + 268)/4
Solve 4*l**4 + 100*l**3 + 564*l**2 - 884*l - 1352 = 0.
-13, -1, 2
Factor -2*z**2/3 - 2*z.
-2*z*(z + 3)/3
What is p in -4*p**3 + 60*p**2 + 64*p = 0?
-1, 0, 16
Factor 5*w**3 - 1185*w**2 - 1190*w.
5*w*(w - 238)*(w + 1)
What is f in -2*f**2/3 + 46*f/3 - 28 = 0?
2, 21
Factor 2*q**3 + 20*q**2 + 56*q + 48.
2*(q + 2)**2*(q + 6)
Let -o**3 - 23*o**2 - 155*o - 325 = 0. Calculate o.
-13, -5
Suppose -f**3/4 + 59*f**2 = 0. What is f?
0, 236
Factor -d**2/8 + 4835*d/4 - 23377225/8.
-(d - 4835)**2/8
What is s in 10*s**5 - 86*s**4 + 174*s**3 + 94*s**2 - 296*s - 120 = 0?
-1, -2/5, 2, 3, 5
Factor 5*m**3 - 130*m**2 - 5*m + 130.
5*(m - 26)*(m - 1)*(m + 1)
Factor j**2/8 - 5471*j/8 - 684.
(j - 5472)*(j + 1)/8
Determine h, given that h**5/3 + 137*h**4/3 - 139*h**3/3 - 137*h**2/3 + 46*h = 0.
-138, -1, 0, 1
Suppose 5*q**5/3 - 28*q**4/3 + 13*q**3/3 + 10*q**2/3 = 0. What is q?
-2/5, 0, 1, 5
Factor 4*h**2 - 4*h - 80.
4*(h - 5)*(h + 4)
Let -2*r**3/19 - 1146*r**2/19 - 8610*r + 164738/19 = 0. Calculate r.
-287, 1
What is d in -4*d**4 - 768*d**3 - 37624*d**2 - 72960*d - 36100 = 0?
-95, -1
Factor 5*i**2 + 70*i + 65.
5*(i + 1)*(i + 13)
Factor -16*q**3 + 8*q**2 + 39*q + 18.
-(q - 2)*(4*q + 3)**2
Factor -5*p**3 + 800*p**2 - 3140*p + 3120.
-5*(p - 156)*(p - 2)**2
Solve 2*v**4/5 - 366*v**3/5 - 3408*v**2/5 - 9184*v/5 - 6144/5 = 0 for v.
-4, -1, 192
Suppose -s**2/3 - 1238*s/3 - 383161/3 = 0. What is s?
-619
Suppose 18*o**5/5 - 132*o**4/5 + 368*o**3/5 - 96*o**2 + 288*o/5 - 64/5 = 0. What is o?
2/3, 2
Let g**2 - 193*g = 0. Calculate g.
0, 193
Factor w**2/3 - 136*w + 13872.
(w - 204)**2/3
Determine s so that s**5/4 - 59*s**4/4 + 331*s**3/2 - 328*s**2 - 1440*s = 0.
-2, 0, 8, 45
Suppose 3*n**5/2 + 7*n**4 + 5*n**3 - 10*n**2 - 13*n/2 + 3 = 0. Calculate n.
-3, -2, -1, 1/3, 1
Factor m**4 + 4