or -18*j**3 + 14*j**2 + 4*j.
-2*j*(j - 1)*(9*j + 2)
What is n in -4*n**2/3 + 16*n/3 + 28 = 0?
-3, 7
Solve -p**5/3 - p**4 + 2*p**3/3 + 4*p**2 + 8*p/3 = 0.
-2, -1, 0, 2
Factor 2*m**2/9 + 12*m + 162.
2*(m + 27)**2/9
Let 3*v**3 + 471*v**2/2 + 792*v + 675/2 = 0. What is v?
-75, -3, -1/2
Determine p, given that -12*p**2/7 - 22*p/7 + 4/7 = 0.
-2, 1/6
Factor 4*f**3 - 48*f**2 + 80*f.
4*f*(f - 10)*(f - 2)
Factor -p**2/5 + 217*p/5 - 294.
-(p - 210)*(p - 7)/5
Factor -2*z**2/13 + 74*z/13 - 320/13.
-2*(z - 32)*(z - 5)/13
Factor b**3 + 24*b**2.
b**2*(b + 24)
Factor -5*p**2 - 160*p + 2100.
-5*(p - 10)*(p + 42)
Determine l so that -4*l**4 + 52*l**3 - 40*l**2 - 96*l = 0.
-1, 0, 2, 12
Factor 6*u**4 + 21*u**3 + 18*u**2 - 3*u - 6.
3*(u + 1)**2*(u + 2)*(2*u - 1)
Factor -3*w**4 + 90*w**3/7 - 108*w**2/7 + 24*w/7.
-3*w*(w - 2)**2*(7*w - 2)/7
Find b such that -4*b**4/3 - 52*b**3/3 + 328*b**2/3 - 560*b/3 + 96 = 0.
-18, 1, 2
Factor -k**3/2 + 5*k**2/2 + k/2 - 5/2.
-(k - 5)*(k - 1)*(k + 1)/2
Let 2*l**2/7 + 66*l/7 + 40 = 0. Calculate l.
-28, -5
Find l, given that -40*l**4 + 2244*l**3 + 2064*l**2 - 676*l - 456 = 0.
-1, -2/5, 1/2, 57
Solve -3*a**4/5 - 7*a**3/5 + 2*a**2 + 28*a/5 + 8/5 = 0 for a.
-2, -1/3, 2
Let k**2 - 66*k + 65 = 0. Calculate k.
1, 65
Find r, given that -2*r**5 + 24*r**4 - 82*r**3 + 4*r**2 + 360*r - 400 = 0.
-2, 2, 5
Factor -4*b**4 + 264*b**3 + 1420*b**2.
-4*b**2*(b - 71)*(b + 5)
Factor -q**3/3 - 53*q**2/3 + 109*q/3 - 55/3.
-(q - 1)**2*(q + 55)/3
What is u in -2*u**3/9 + 16*u**2/9 = 0?
0, 8
Factor -2*g**4 - 82*g**3 - 1092*g**2 - 4312*g + 5488.
-2*(g - 1)*(g + 14)**3
Solve -10*j**3/3 - 75*j**2 - 830*j/3 - 120 = 0 for j.
-18, -4, -1/2
Factor -5*h**4 + 100*h**3 - 210*h**2 - 740*h - 425.
-5*(h - 17)*(h - 5)*(h + 1)**2
Factor v**5/7 + 4*v**4/7 + 5*v**3/7 + 2*v**2/7.
v**2*(v + 1)**2*(v + 2)/7
Determine s so that -s**2/4 + 54*s - 2916 = 0.
108
Factor g**3/3 - 46*g**2/3 + 364*g/3 + 1352.
(g - 26)**2*(g + 6)/3
Solve -4*j**5/9 + 88*j**4/9 + 76*j**3/3 - 856*j**2/9 - 224*j/9 + 256/3 = 0.
-4, -1, 1, 2, 24
Factor -l**3/5 - 3*l**2 + 52*l/5 - 36/5.
-(l - 2)*(l - 1)*(l + 18)/5
Let -2*i**3/3 - 40*i**2/3 - 200*i/3 = 0. What is i?
-10, 0
Suppose 2*r**3 + 32*r**2 + 96*r = 0. What is r?
-12, -4, 0
Solve 516*l**5 + 3608*l**4 + 7712*l**3 + 6648*l**2 + 2012*l - 16 = 0.
-4, -1, 1/129
Solve v**3/5 + 4*v**2 + 33*v/5 - 54/5 = 0.
-18, -3, 1
Factor -p**3/4 + 230*p**2 - 52900*p.
-p*(p - 460)**2/4
Let 5*q**4 - 50*q**3 + 135*q**2 - 10*q - 200 = 0. What is q?
-1, 2, 4, 5
Factor -2*a**2/15 - 36*a - 1072/15.
-2*(a + 2)*(a + 268)/15
Factor 12*w**3 - 92*w**2 - 160*w + 144.
4*(w - 9)*(w + 2)*(3*w - 2)
Solve -t**3 + 229*t**2 + 1401*t + 2115 = 0.
-3, 235
Find q, given that 4*q**2/5 - 2064*q/5 + 412 = 0.
1, 515
Find k such that -6*k**3 + 106*k**2 - 66*k - 34 = 0.
-1/3, 1, 17
Find k such that k**5/2 - 6*k**4 + 51*k**3/2 - 44*k**2 + 24*k = 0.
0, 1, 3, 4
Factor 13*j**5 + 24*j**4 - 87*j**3 + 50*j**2.
j**2*(j - 1)**2*(13*j + 50)
Solve -3*s**5 - 6*s**4 + 6*s**3 + 12*s**2 - 3*s - 6 = 0 for s.
-2, -1, 1
Determine u, given that 2*u**3 - 51*u**2 + 333*u - 154 = 0.
1/2, 11, 14
What is z in -35*z**3 + 113*z**2 - 21*z - 9 = 0?
-1/5, 3/7, 3
Factor 4*s**3 + 140*s**2 - 4*s - 140.
4*(s - 1)*(s + 1)*(s + 35)
What is n in -n**4/2 + n**3 + 5*n**2/2 - 3*n = 0?
-2, 0, 1, 3
Factor -g**2 - 6350*g - 10080625.
-(g + 3175)**2
Factor u**2/5 - 126*u/5 - 127/5.
(u - 127)*(u + 1)/5
Let -3*b**5/2 - 24*b**4 - 255*b**3/2 - 177*b**2 + 480*b + 1200 = 0. Calculate b.
-5, -4, 2
Let -3*i**2 + 3198*i - 852267 = 0. What is i?
533
What is o in 4*o**5 + 904*o**4 - 3668*o**3 + 2776*o**2 + 3664*o - 3680 = 0?
-230, -1, 1, 2
Factor -5*b**2 - 30*b - 40.
-5*(b + 2)*(b + 4)
Find z such that 20*z**2 + 195*z - 50 = 0.
-10, 1/4
Factor -21*i**3 - 153*i**2 + 126*i + 48.
-3*(i - 1)*(i + 8)*(7*i + 2)
Factor g**5 - 23*g**4 - 50*g**3 - 2*g**2 + 49*g + 25.
(g - 25)*(g - 1)*(g + 1)**3
Factor 5*j**3 + 25*j**2 - 40*j - 60.
5*(j - 2)*(j + 1)*(j + 6)
Factor w**2/3 + 3*w - 112/3.
(w - 7)*(w + 16)/3
Suppose 13*j**4/11 - 12*j**3 + 111*j**2/11 + 20*j - 36/11 = 0. Calculate j.
-1, 2/13, 2, 9
Let -6*l**5 + 93*l**4 - 414*l**3 + 357*l**2 + 294*l = 0. What is l?
-1/2, 0, 2, 7
Let -3*a**3 + 12*a**2 + 33*a + 18 = 0. What is a?
-1, 6
Let -32*d**4/11 + 400*d**3/11 - 1058*d**2/11 + 456*d/11 - 54/11 = 0. Calculate d.
1/4, 3, 9
Factor 4*u**3 - 92*u**2 + 88*u.
4*u*(u - 22)*(u - 1)
Factor -2*b**2 + 8*b + 24.
-2*(b - 6)*(b + 2)
Let -5*l**4 + 710*l**3 - 25205*l**2 = 0. What is l?
0, 71
Determine l so that 3*l**3 + 567*l**2 - 3531*l - 4095 = 0.
-195, -1, 7
What is o in o**2 + 9*o = 0?
-9, 0
Find q such that 18*q**3/13 + 24*q**2/13 - 22*q/13 + 4/13 = 0.
-2, 1/3
Find j such that -12*j**4 - 248*j**3 + 348*j**2 - 88*j = 0.
-22, 0, 1/3, 1
Factor -3*w**4 + 57*w**3 - 297*w**2 + 243*w.
-3*w*(w - 9)**2*(w - 1)
Suppose m**4/4 - 5*m**3/4 + m**2/2 + 2*m = 0. What is m?
-1, 0, 2, 4
Suppose 4*q**2/5 + 264*q/5 + 756 = 0. What is q?
-45, -21
Factor 5*k**3 + 45*k**2 + 75*k + 35.
5*(k + 1)**2*(k + 7)
Determine u, given that -4*u**2 - 1848*u - 10944 = 0.
-456, -6
Factor 4*z**2 + 248*z.
4*z*(z + 62)
Factor 3*h**4 - 126*h**3 - 1140*h**2 - 2952*h - 2400.
3*(h - 50)*(h + 2)**2*(h + 4)
What is f in 2*f**5/23 - 18*f**4/23 + 30*f**3/23 + 50*f**2/23 = 0?
-1, 0, 5
Factor 855*v**2 + 10*v.
5*v*(171*v + 2)
Solve -5*n**2 - 3565*n + 3570 = 0.
-714, 1
Let 2*d**5 - 314*d**4 + 622*d**3 - 310*d**2 = 0. Calculate d.
0, 1, 155
Let -i**2 - 31*i/5 - 6/5 = 0. Calculate i.
-6, -1/5
Factor 4*p**2 - 136*p - 288.
4*(p - 36)*(p + 2)
Find i, given that -i**4/3 - 22*i**3/3 - 104*i**2/3 - 128*i/3 = 0.
-16, -4, -2, 0
Let -4*m**4 - 204*m**3/7 - 68*m**2 - 372*m/7 - 72/7 = 0. What is m?
-3, -1, -2/7
Factor -h**2/4 - 7*h/2 - 10.
-(h + 4)*(h + 10)/4
Factor -2*n**2/5 + 38*n/5 - 96/5.
-2*(n - 16)*(n - 3)/5
Factor -2*d**4/7 - 18*d**3/7 + 104*d**2/7.
-2*d**2*(d - 4)*(d + 13)/7
Suppose -n**4 - 3*n**3/2 + 27*n**2/2 - 37*n/2 + 15/2 = 0. Calculate n.
-5, 1, 3/2
Factor 5*c**5 - 90*c**4 - 195*c**3 - 100*c**2.
5*c**2*(c - 20)*(c + 1)**2
Solve m**3 + 9*m**2 - 705*m - 713 = 0.
-31, -1, 23
Factor 4*y**2 + 424*y - 2688.
4*(y - 6)*(y + 112)
Factor w**3 - 131*w**2 + 4224*w + 4356.
(w - 66)**2*(w + 1)
Factor 2*q**2/3 - 48*q.
2*q*(q - 72)/3
Suppose 2*t**2 + 3918*t = 0. Calculate t.
-1959, 0
Factor -9*a**2/5 + 4524*a/5 + 1509/5.
-3*(a - 503)*(3*a + 1)/5
Suppose -c**5 + c**4 + 7*c**3 - c**2 - 6*c = 0. Calculate c.
-2, -1, 0, 1, 3
Determine b so that b**2/2 + 18*b + 64 = 0.
-32, -4
What is i in -2*i**3 + 366*i**2 + 740*i = 0?
-2, 0, 185
Solve d**2 + 203*d - 204 = 0.
-204, 1
Find w, given that 6*w**2/7 + 402*w/7 = 0.
-67, 0
Factor -d**3/4 - d**2/2 + 55*d/4 + 50.
-(d - 8)*(d + 5)**2/4
Factor -2*v**3 + 6*v**2 - 4*v.
-2*v*(v - 2)*(v - 1)
Factor -k**5 - 28*k**4 - 294*k**3 - 1372*k**2 - 2401*k.
-k*(k + 7)**4
Factor -3*h**3/7 + 30*h**2/7 - 69*h/7 + 6.
-3*(h - 7)*(h - 2)*(h - 1)/7
Solve -2*d**2 - 16*d + 96 = 0 for d.
-12, 4
Factor -4*j**3 - 44*j**2 - 72*j.
-4*j*(j + 2)*(j + 9)
Factor 3*b**3 - 57*b**2 + 105*b - 51.
3*(b - 17)*(b - 1)**2
Determine k so that k**4/4 - 31*k**3 + 2097*k**2/2 - 5369*k + 17405/4 = 0.
1, 5, 59
Factor a**2/8 - 227*a/8 + 223/2.
(a - 223)*(a - 4)/8
Factor 680*k**2 + 668*k - 12.
4*(k + 1)*(170*k - 3)
Factor -2*q**5/13 + 12*q**4/13 - 16*q**3/13 - 32*q**2/13 + 96*q/13 - 64/13.
-2*(q - 2)**4*(q + 2)/13
Factor -75*q**5 + 660*q**4 - 1002*q**3 - 1980*q**2 - 675*q.
-3*q*(q - 5)**2*(5*q + 3)**2
Factor 2*g**4/7 - 30*g**3/7 + 76*g**2/7 - 48*g/7.
2*g*(g - 12)*(g - 2)*(g - 1)/7
Find v, given that 12*v**5 - 15*v**4 - 273*v**3 - 399*v**2 - 99*v + 54 = 0.
-3, -1, 1/4, 6
Factor 4*q**3 + 8*q**2 - 12*q.
4*q*(q - 1)*(q + 3)
Factor -2*h**2/7 + 96*h/7 - 1152/7.
-2*(h - 24)**2/7
Factor -x**4 - 2*x**3 + 15*x**2 - 4*x - 20.
-(x - 2)**2*(x + 1)*(x + 5)
Find u, given that -3*u**3/7 - 507*u**2/7 - 3096*u - 3024 = 0.
-84, -1
Determine f so that 13*f**4/6 - 197*f**3/6 - 323*f**2/3 - 182*f/3 + 12 = 0.
-2, -1, 2/13, 18
Suppose 2*p**3 + 1166*p**2 + 2326*p + 1162 = 0. Calculate p.
-581, -1
Factor 6*w**4 - 267*w**3 - 999*w**2 - 432*w.
3*w*(w - 48)*(w + 3)*(2*w + 1)
Factor 6*d**2 + 2276*d - 1520.
2*(d + 380)*(3*d - 2)
Determine g so that -72*g**5 + 618*g**4 - 854*g**3 + 400*g**2 - 56*g = 0.
0, 1/4, 2/3, 7
Find z such that 2*z**2 + 86*z - 180 = 0.
-45, 2
Solve -40*s**3/3 - 166*s**