-3*i**4 + 30*i**3 + 84*i**2 - 120*i - 288.
-3*(i - 12)*(i - 2)*(i + 2)**2
Solve -h**2/3 - 50*h/3 - 32 = 0 for h.
-48, -2
Factor -2*o**3 + 60*o**2 + 126*o + 64.
-2*(o - 32)*(o + 1)**2
Factor -5*z**3 + 90*z**2 - 165*z + 80.
-5*(z - 16)*(z - 1)**2
Factor -m**4 - 20*m**3 - 78*m**2 + 220*m - 121.
-(m - 1)**2*(m + 11)**2
Determine h so that -49*h**5/6 - 2429*h**4/6 - 4069*h**3/3 - 2030*h**2/3 - 92*h = 0.
-46, -3, -2/7, 0
Let -2*r**5/11 - 92*r**4/11 - 1338*r**3/11 - 7208*r**2/11 - 10760*r/11 - 4800/11 = 0. Calculate r.
-24, -10, -1
Suppose -882*t**4 + 490*t**3 + 1444*t**2 - 40*t - 112 = 0. What is t?
-1, -2/7, 2/7, 14/9
Factor -3*v**3 - 606*v**2 + 1845*v.
-3*v*(v - 3)*(v + 205)
Determine w, given that -4*w**4/7 - 1140*w**3/7 - 3396*w**2/7 - 484*w - 1128/7 = 0.
-282, -1
Let 15*p**4/7 + 156*p**3/7 + 45*p**2 + 222*p/7 + 48/7 = 0. What is p?
-8, -1, -2/5
Solve l**3 - 14*l**2 - 101*l + 114 = 0.
-6, 1, 19
Determine l so that 3*l**4 + 30*l**3 + 45*l**2 - 30*l - 48 = 0.
-8, -2, -1, 1
Determine i so that 5*i**3 - 1300*i**2 + 88265*i - 483870 = 0.
6, 127
Solve 5*p**2 - 12480*p - 12485 = 0 for p.
-1, 2497
Suppose -27*y**4 + 9756*y**3 - 22665*y**2 + 17244*y - 4308 = 0. Calculate y.
2/3, 1, 359
Solve 3*z**3 - 141*z**2 + 612*z + 756 = 0.
-1, 6, 42
Determine c so that c**5 - 6*c**4 - 5*c**3 + 30*c**2 + 4*c - 24 = 0.
-2, -1, 1, 2, 6
Find s, given that 5*s**3 + 5*s**2 - 30*s = 0.
-3, 0, 2
Solve -3*u**5/2 - 15*u**4 - 99*u**3/2 - 60*u**2 - 24*u = 0.
-4, -1, 0
What is v in 3*v**5 - 276*v**4/5 + 1926*v**3/5 - 1248*v**2 + 1815*v - 900 = 0?
1, 12/5, 5
What is u in -4*u**4/5 + 289*u**3/5 - 3932*u**2/5 + 1513*u - 330 = 0?
1/4, 2, 15, 55
Factor 2*j**3/3 + 46*j**2/3 + 286*j/3 + 242/3.
2*(j + 1)*(j + 11)**2/3
Factor -4*w**5 - 188*w**4 - 2112*w**3 + 2304*w**2.
-4*w**2*(w - 1)*(w + 24)**2
Factor -3*x**2 + 39*x - 120.
-3*(x - 8)*(x - 5)
Factor 2*m**2 - 28*m - 30.
2*(m - 15)*(m + 1)
Factor -5*c**5 - 130*c**4 + 570*c**3 - 880*c**2 + 595*c - 150.
-5*(c - 1)**4*(c + 30)
Solve -4*y**3/5 - 336*y**2/5 - 132*y - 328/5 = 0.
-82, -1
Factor -3*c**3/8 - 259*c**2/8 - 42*c + 85/2.
-(c + 2)*(c + 85)*(3*c - 2)/8
Determine v so that -4*v**2/3 + 14816*v/3 - 13719616/3 = 0.
1852
Factor 5*c**3 + 320*c**2 + 305*c - 630.
5*(c - 1)*(c + 2)*(c + 63)
Factor -2*q**4/7 - 24*q**3/7 - 108*q**2/7 - 216*q/7 - 162/7.
-2*(q + 3)**4/7
Factor 10*s**5 - 25*s**4 + 10*s**3.
5*s**3*(s - 2)*(2*s - 1)
Factor 2*p**2 + 592*p + 43808.
2*(p + 148)**2
Factor 4*j**2 + 320*j.
4*j*(j + 80)
Let 4*q**4/7 + 8*q**3/7 - 20*q**2/7 - 24*q/7 = 0. Calculate q.
-3, -1, 0, 2
Factor -25*x**4 - 435*x**3 - 1821*x**2 - 677*x - 66.
-(x + 6)*(x + 11)*(5*x + 1)**2
Find s, given that -2*s**4 - 42*s**3 - 252*s**2 - 432*s = 0.
-12, -6, -3, 0
Factor 4*z**3/3 - 32*z**2/3 + 52*z/3 - 8.
4*(z - 6)*(z - 1)**2/3
Solve -r**3/8 - 35*r**2/8 - 36*r + 81/2 = 0 for r.
-18, 1
Factor -4*s**2 + 3144*s - 617796.
-4*(s - 393)**2
Factor 3*w**4 - 588*w**3 + 38610*w**2 - 861900*w + 823875.
3*(w - 65)**3*(w - 1)
Find a such that -a**5 - 8*a**4 + 17*a**3 + 60*a**2 - 108*a = 0.
-9, -3, 0, 2
Factor 9*u**4 + 110*u**3 + 24*u**2.
u**2*(u + 12)*(9*u + 2)
Find s, given that s**4/6 - 48*s**3 + 1967*s**2/6 = 0.
0, 7, 281
Factor -l**4/6 + 61*l**3/6 + 2*l**2 - 374*l/3 + 488/3.
-(l - 61)*(l - 2)**2*(l + 4)/6
Determine c so that 8*c**4 + 3116*c**3 + 1536*c**2 - 7772*c + 3112 = 0.
-389, -2, 1/2, 1
Let -n**4 + 8*n**3 - 24*n**2 + 32*n - 16 = 0. What is n?
2
Solve -2*o**5/5 + 14*o**4/5 - 6*o**3 + 2*o**2 + 32*o/5 - 24/5 = 0 for o.
-1, 1, 2, 3
Suppose 2*z**3/3 - 602*z**2/3 = 0. What is z?
0, 301
What is m in 15*m**4/2 + 27*m**3 - 123*m**2/2 - 45*m = 0?
-5, -3/5, 0, 2
Determine n so that 3*n**2 + 1236*n - 2484 = 0.
-414, 2
Solve z**4/3 - 2*z**3/3 - z**2 + 8*z/3 - 4/3 = 0.
-2, 1, 2
Factor -2*y**2/13 + 80*y/13 - 800/13.
-2*(y - 20)**2/13
Solve s**5/2 - s**4/2 - s**3 = 0.
-1, 0, 2
Factor -3*f**2/4 - 99*f/2 - 3267/4.
-3*(f + 33)**2/4
Find l such that 2*l**3 + 336*l**2 + 18816*l + 351232 = 0.
-56
Find b such that -b**4/2 + 62*b**3/3 + 257*b**2/3 - 430*b/3 + 75/2 = 0.
-5, 1/3, 1, 45
Factor 8*f**3 - 100*f**2 + 833*f/2 - 578.
(f - 4)*(4*f - 17)**2/2
Factor -r**4/2 - 6*r**3 - 26*r**2 - 48*r - 32.
-(r + 2)**2*(r + 4)**2/2
Factor -5*m**3/4 + 15*m**2/4 - 5*m/2.
-5*m*(m - 2)*(m - 1)/4
Factor -g**5 + 121*g**3.
-g**3*(g - 11)*(g + 11)
Factor -14*h**3 - 3*h**2 + 9*h - 2.
-(h + 1)*(2*h - 1)*(7*h - 2)
Factor 4*a**4 - 160*a**3 + 1536*a**2 + 8192*a - 131072.
4*(a - 16)**3*(a + 8)
Solve -4*q**3 + 1252*q**2 + 2520*q = 0.
-2, 0, 315
Factor -j**3 + 46*j**2 + 96*j.
-j*(j - 48)*(j + 2)
Factor 3*f**2 - 1887*f + 5634.
3*(f - 626)*(f - 3)
Suppose -l**4 - 35*l**3 - 29*l**2 + 167*l - 102 = 0. Calculate l.
-34, -3, 1
Determine m so that 3*m**5/8 + 273*m**4/4 + 3036*m**3 - 6348*m**2 = 0.
-92, 0, 2
Factor -4*i**4 + 52*i**3 + 116*i**2 + 60*i.
-4*i*(i - 15)*(i + 1)**2
Factor 2*l**3 - 502*l**2 - 2034*l - 1530.
2*(l - 255)*(l + 1)*(l + 3)
What is b in 4*b**5/7 + 36*b**4/7 + 100*b**3/7 + 108*b**2/7 + 40*b/7 = 0?
-5, -2, -1, 0
Factor -5*i**2/2 - 85*i/2 - 40.
-5*(i + 1)*(i + 16)/2
Factor -a**2/4 - 13*a/4 + 360.
-(a - 32)*(a + 45)/4
Find v, given that 5*v**5 - 15*v**4 + 15*v**3 - 5*v**2 = 0.
0, 1
Find b, given that -3*b**2 - 663*b + 3390 = 0.
-226, 5
Factor 2*z**3/3 + 88*z**2/3 + 238*z/3 - 328/3.
2*(z - 1)*(z + 4)*(z + 41)/3
What is r in 21*r**4 + 75*r**3/2 - 180*r**2 + 30*r + 24 = 0?
-4, -2/7, 1/2, 2
Factor -t**2 - 8*t + 345.
-(t - 15)*(t + 23)
Solve s**5/6 - 5*s**4/3 + 6*s**3 - 29*s**2/3 + 43*s/6 - 2 = 0.
1, 3, 4
Determine d, given that -2*d**2 + 326*d - 2184 = 0.
7, 156
Find k, given that -4*k**5 - 976*k**4 - 61460*k**3 - 235208*k**2 - 289920*k - 115200 = 0.
-120, -2, -1
Factor 6*q**2/5 + 434*q/5 + 144/5.
2*(q + 72)*(3*q + 1)/5
Determine q, given that -8*q**3/5 + 2*q**2/5 + 6*q/5 = 0.
-3/4, 0, 1
Solve -384*q**5/19 + 3616*q**4/19 - 440*q**3 + 2950*q**2/19 - 126*q/19 - 36/19 = 0 for q.
-1/12, 1/4, 3, 6
What is j in -28*j**2 + 216*j + 64 = 0?
-2/7, 8
Let -25*l**5 - 15*l**4 + 185*l**3 - 45*l**2 - 160*l + 60 = 0. Calculate l.
-3, -1, 2/5, 1, 2
Factor 5*q**4 + 320*q**3 + 6600*q**2 + 38720*q - 106480.
5*(q - 2)*(q + 22)**3
Determine p so that 16*p**5 - 416*p**4 + 324*p**3 + 1844*p**2 + 1388*p + 300 = 0.
-1, -1/2, 3, 25
Factor -f**3/4 - 7*f**2 - 25*f - 24.
-(f + 2)**2*(f + 24)/4
Solve -34*n**4/7 + 14*n**3 - 90*n**2/7 + 22*n/7 + 4/7 = 0.
-2/17, 1
Factor 2*s**4 - 48*s**3 + 270*s**2 + 432*s - 2592.
2*(s - 12)**2*(s - 3)*(s + 3)
Factor -2*l**2/5 - 18*l/5 + 104/5.
-2*(l - 4)*(l + 13)/5
Factor 2*t**5 - 363*t**4/5 + 3348*t**3/5 - 972*t**2/5.
t**2*(t - 18)**2*(10*t - 3)/5
Factor 5*f**2 - 40*f + 60.
5*(f - 6)*(f - 2)
Factor 5*w**5 + 9*w**4 - w**3 - 9*w**2 - 4*w.
w*(w - 1)*(w + 1)**2*(5*w + 4)
Determine b, given that 3*b**3 + 39*b**2 - 87*b + 45 = 0.
-15, 1
Factor -29*u**3/2 - 28*u**2 - 25*u/2 + 1.
-(u + 1)**2*(29*u - 2)/2
Factor l**4 - 12*l**3 - l**2 + 12*l.
l*(l - 12)*(l - 1)*(l + 1)
Factor 18*w**3 - 4*w**2 - 18*w + 4.
2*(w - 1)*(w + 1)*(9*w - 2)
Factor 2*d**2/13 + 1672*d/13 + 1670/13.
2*(d + 1)*(d + 835)/13
Find u, given that -4*u**4 + 1564*u**3/3 - 512*u**2/3 - 1040*u/3 = 0.
-2/3, 0, 1, 130
Suppose -3*q**5/4 + 9*q**4 - 159*q**3/4 + 153*q**2/2 - 54*q = 0. What is q?
0, 2, 3, 4
Factor 2*t**5 - 202*t**4 - 204*t**3.
2*t**3*(t - 102)*(t + 1)
Determine x so that -2*x**3/5 + 106*x**2/5 + 112*x/5 - 216/5 = 0.
-2, 1, 54
Suppose 11*q**3/5 - 152*q**2/5 - 193*q/5 - 6 = 0. What is q?
-1, -2/11, 15
What is p in -p**4/4 - 9*p**3/2 - 4*p**2 + 9*p/2 + 17/4 = 0?
-17, -1, 1
Factor 2308*q**3 - 2300*q**2 - 8*q.
4*q*(q - 1)*(577*q + 2)
Factor o**3/3 - 770*o**2/3 + 3068*o/3 - 3064/3.
(o - 766)*(o - 2)**2/3
Factor 2*b**5/5 + 214*b**4 - 1072*b**3/5.
2*b**3*(b - 1)*(b + 536)/5
Factor -3*j**3/4 - 141*j**2/4 - 33*j + 69.
-3*(j - 1)*(j + 2)*(j + 46)/4
Factor -8*d**4/13 - 2*d**3 - 30*d**2/13 - 14*d/13 - 2/13.
-2*(d + 1)**3*(4*d + 1)/13
Solve -5*n**4 + 13*n**3 - 8*n**2 = 0.
0, 1, 8/5
Determine w, given that -35*w**5 - 205*w**4 - 145*w**3 + 25*w**2 = 0.
-5, -1, 0, 1/7
Factor u**4/2 + 161*u**3/6 - 28*u**2/3 - 18*u.
u*(u - 1)*(u + 54)*(3*u + 2)/6
Factor 119*c**2/9 + 361*c/9 + 4/3.
(c + 3)*(119*c + 4)/9
Suppose -4*m**3 - 164*m**2 + 704*m - 720 = 0. Calculate m.
-45, 2
Factor -g**3/4 + 5*g**2/4 - 7*g/4 + 3/4.
-(g - 3)*(g - 1)**2/4
Solve -2*x**3/3 + 396*x**2 - 78408*x + 5174