3*(a + 3)*(a + 21)
Solve -2*l**3 - 32*l**2 - 102*l - 72 = 0 for l.
-12, -3, -1
Factor t**2/7 + 1934*t/7 + 935089/7.
(t + 967)**2/7
Factor 3*h**4 + 2088*h**3 + 484416*h**2 + 37461504*h.
3*h*(h + 232)**3
Find s, given that -4*s**2 - 508*s + 1032 = 0.
-129, 2
Factor z**3/7 + 3*z**2/7 - 4/7.
(z - 1)*(z + 2)**2/7
Suppose -u**4 + 5*u**3 + 3*u**2 - 13*u - 10 = 0. What is u?
-1, 2, 5
Factor -5*o**4 + 165*o**3 - 450*o**2 - 20*o + 600.
-5*(o - 30)*(o - 2)**2*(o + 1)
Factor -i**4 + i**3 + 3*i**2 - i - 2.
-(i - 2)*(i - 1)*(i + 1)**2
Let -3*y**3 + 60*y**2 - 144*y - 1728 = 0. What is y?
-4, 12
Find x, given that x**4/7 - 15*x**3/7 + 23*x**2/7 + 39*x/7 = 0.
-1, 0, 3, 13
Factor 4*s**2/5 - 2416*s/5 + 364816/5.
4*(s - 302)**2/5
Suppose o**5 + 33*o**4 + 174*o**3 + 334*o**2 + 273*o + 81 = 0. What is o?
-27, -3, -1
Determine l, given that 2*l**3 - 28*l**2 + 130*l - 200 = 0.
4, 5
Let 2*g**4 + 6*g**3 - 6*g**2 - 14*g + 12 = 0. Calculate g.
-3, -2, 1
What is a in -3*a**3/2 - 351*a**2/2 - 10089*a/2 + 10443/2 = 0?
-59, 1
Determine h, given that -3*h**5/4 - 8553*h**4/2 - 24401703*h**3/4 - 12188025*h**2 - 6091875*h = 0.
-2850, -1, 0
Find u such that u**2/5 - 48*u/5 = 0.
0, 48
Let 2*y**3 - 490*y**2 - 492*y = 0. What is y?
-1, 0, 246
Find b such that b**3 - 8276*b**2 = 0.
0, 8276
Factor r**4/4 + 75*r**3/4 + 867*r**2/4 + 793*r/4.
r*(r + 1)*(r + 13)*(r + 61)/4
Determine o, given that 2*o**2 - 212*o + 210 = 0.
1, 105
Let 5*m**5 - 1960*m**4 - 1970*m**3 + 1960*m**2 + 1965*m = 0. What is m?
-1, 0, 1, 393
Find p, given that 2*p**3 - 22*p**2 - 28*p + 48 = 0.
-2, 1, 12
Factor -b**2/6 - 5*b/2 + 182/3.
-(b - 13)*(b + 28)/6
Find f such that -4*f**5 - 17*f**4/3 + 13*f**3/3 - 2*f**2/3 = 0.
-2, 0, 1/4, 1/3
Solve h**5 - 2*h**4 = 0 for h.
0, 2
Factor -c**4 - c**3.
-c**3*(c + 1)
Let -12*p**4 - 592*p**3 - 1856*p**2 - 704*p + 1472 = 0. Calculate p.
-46, -2, 2/3
Find y, given that 3*y**2 - 153*y + 150 = 0.
1, 50
Find g such that -g**5/3 + 460*g**4/3 - 52897*g**3/3 - 1382*g**2/3 + 159620*g/3 - 105800/3 = 0.
-2, 1, 230
Factor -10*h**3 + 555*h**2 - 7560*h - 3920.
-5*(h - 28)**2*(2*h + 1)
Suppose g**3/6 - g**2/2 + 2/3 = 0. Calculate g.
-1, 2
Determine i so that -2*i**2/5 - 1998*i/5 + 4004/5 = 0.
-1001, 2
Suppose 1089*u**5/8 - 7953*u**4/8 + 12015*u**3/8 + 13245*u**2/8 - 1638*u - 1323/2 = 0. Calculate u.
-1, -1/3, 1, 42/11
Determine g, given that g**3 + 71*g**2 - 616*g + 1264 = 0.
-79, 4
Let -d**5 + 2*d**4 + 2*d**3 - 4*d**2 - d + 2 = 0. What is d?
-1, 1, 2
Suppose 8*u**4/3 + 12*u**3 + 16*u**2 + 16*u/3 = 0. Calculate u.
-2, -1/2, 0
Find w, given that w**4/4 + 29*w**3/2 = 0.
-58, 0
Determine n, given that -2*n**3/3 + 20*n**2/3 - 6*n = 0.
0, 1, 9
Suppose -r**4 - 131*r**3 - 513*r**2 - 637*r - 254 = 0. Calculate r.
-127, -2, -1
Let 5*g**5 + 13*g**4 - 54*g**3 + 34*g**2 + 17*g - 15 = 0. Calculate g.
-5, -3/5, 1
Solve -s**3/2 + 113*s**2/2 + 1729*s/2 + 6223/2 = 0 for s.
-7, 127
Factor t**3/3 + 169*t**2/3 + 7055*t/3 - 7225/3.
(t - 1)*(t + 85)**2/3
Determine a, given that 2*a**4 - 9*a**3 - 2*a**2 + 39*a - 18 = 0.
-2, 1/2, 3
Factor -15*c**3 + 14289*c**2 - 22812*c - 11412.
-3*(c - 951)*(c - 2)*(5*c + 2)
Let 4*f**3/7 + 7212*f**2/7 = 0. What is f?
-1803, 0
Factor 2*k**4/11 + 60*k**3/11 - 62*k**2/11.
2*k**2*(k - 1)*(k + 31)/11
Factor -d**3/3 - 191*d**2/3 + 194*d/3 + 128.
-(d - 2)*(d + 1)*(d + 192)/3
Factor -3*i**2 + 2343*i + 2346.
-3*(i - 782)*(i + 1)
Factor -3*p**4 - 36*p**3 - 27*p**2 + 66*p.
-3*p*(p - 1)*(p + 2)*(p + 11)
Factor -2*w**2 + 50*w.
-2*w*(w - 25)
Factor 9*u**3 - 786*u**2 - 2148*u - 1080.
3*(u - 90)*(u + 2)*(3*u + 2)
Find y, given that -3*y**2 - 35400*y - 104430000 = 0.
-5900
Let 100*w**4 - 6740*w**3 + 2565*w**2 + 7670*w + 2345 = 0. What is w?
-1/2, 7/5, 67
Find w such that 2*w**3 - 1954*w**2 - 3914*w - 1958 = 0.
-1, 979
Find m such that -12*m**3 - 80*m**2 - 148*m/3 - 8 = 0.
-6, -1/3
Factor 5*a**2/4 + 4545*a/2 + 4131405/4.
5*(a + 909)**2/4
Factor y**3/9 + 7*y**2/3 + 98*y/9 + 40/3.
(y + 2)*(y + 4)*(y + 15)/9
Let 2*d**5/5 + 22*d**4/5 + 34*d**3/5 - 22*d**2/5 - 36*d/5 = 0. Calculate d.
-9, -2, -1, 0, 1
Factor l**5/5 - 3*l**4/5 + l**3/5 + 3*l**2/5 - 2*l/5.
l*(l - 2)*(l - 1)**2*(l + 1)/5
Factor a**2/3 - 203*a/3.
a*(a - 203)/3
Factor -33*q**2 - 171*q - 30.
-3*(q + 5)*(11*q + 2)
Factor b**2 + 26*b + 25.
(b + 1)*(b + 25)
Find q, given that -3*q**4/5 + 24*q**3/5 + 126*q**2/5 - 312*q/5 + 33 = 0.
-5, 1, 11
Factor -5*v**5/2 + 4415*v**4/2 - 648265*v**3 + 62877775*v**2 + 255418375*v/2 + 128361875/2.
-5*(v - 295)**3*(v + 1)**2/2
Factor 2*o**2/7 - 68*o/7 + 290/7.
2*(o - 29)*(o - 5)/7
Determine r, given that 10*r**4 - r**3 - 30*r**2 - 17*r + 2 = 0.
-1, 1/10, 2
Let 20*m**2 - 15*m - 5 = 0. What is m?
-1/4, 1
Determine n so that -3*n**2 + 1026*n - 87723 = 0.
171
Factor 125*c**4 + 50*c**3 - 320*c**2 + 160*c.
5*c*(c + 2)*(5*c - 4)**2
Factor 5*x**4 - 25*x**3 - 5*x**2 + 85*x + 60.
5*(x - 4)*(x - 3)*(x + 1)**2
Solve -3*b**4/2 - 13*b**3/3 + 14*b**2 - 9*b + 5/6 = 0.
-5, 1/9, 1
Factor -2*w**3/9 - 8*w**2/3 - 22*w/9 + 112/3.
-2*(w - 3)*(w + 7)*(w + 8)/9
What is m in m**2/6 - 137*m/3 + 18769/6 = 0?
137
What is y in -125*y**3 + 1200*y**2 + 7095*y + 8470 = 0?
-11/5, 14
Factor -v**5 - 3*v**4 + 3*v**3 + 11*v**2 + 6*v.
-v*(v - 2)*(v + 1)**2*(v + 3)
Determine k, given that 10*k**5 - 35*k**4 + 5*k**3 + 35*k**2 - 15*k = 0.
-1, 0, 1/2, 1, 3
Factor 2*v**2/3 - 344*v/3 - 1408/3.
2*(v - 176)*(v + 4)/3
Factor 7*b**4 + 37*b**3 + 52*b**2 + 12*b.
b*(b + 2)*(b + 3)*(7*b + 2)
Let 6*x**4 - 39*x**3 + 75*x**2 - 24*x - 36 = 0. What is x?
-1/2, 2, 3
Factor -2*a**4 - 10*a**3 + 64*a**2 - 72*a.
-2*a*(a - 2)**2*(a + 9)
Suppose -35*o**4/3 + 265*o**3 - 4775*o**2/3 + 935*o + 1210/3 = 0. What is o?
-2/7, 1, 11
Find v, given that -2*v**2 + 2540*v - 5072 = 0.
2, 1268
Let -z**2 - 11840*z - 35046400 = 0. Calculate z.
-5920
Let -g**2/7 - 25*g/7 + 26/7 = 0. Calculate g.
-26, 1
Factor -2*a**2 - 34*a - 32.
-2*(a + 1)*(a + 16)
Suppose 2*c**4/19 + 54*c**3/19 + 292*c**2/19 + 240*c/19 = 0. What is c?
-20, -6, -1, 0
Suppose 3*y**4/5 + 3*y**3 + 21*y**2/5 + 9*y/5 = 0. What is y?
-3, -1, 0
Determine f so that -3*f**4 - 24*f**3 - 45*f**2 + 24*f + 48 = 0.
-4, -1, 1
Factor -u**3 - 9*u**2 + 48*u - 52.
-(u - 2)**2*(u + 13)
Let 2*s**4/3 + 62*s**3 - 776*s**2/3 = 0. Calculate s.
-97, 0, 4
Determine p so that 2*p**3/11 + 126*p**2 + 2766*p/11 + 1382/11 = 0.
-691, -1
What is j in j**3/2 + 4*j**2 + 13*j/2 + 3 = 0?
-6, -1
Suppose -h**4/4 - 3*h**3/4 + 7*h**2/4 + 27*h/4 + 9/2 = 0. Calculate h.
-3, -2, -1, 3
Suppose 3*v**4 - 9*v**3 - 18*v**2 + 84*v - 72 = 0. Calculate v.
-3, 2
Determine p, given that 2*p**5 - 4*p**4 - 16*p**3 - 4*p**2 + 14*p + 8 = 0.
-1, 1, 4
Factor -f**4/2 + 26*f**3 + f**2/2 - 26*f.
-f*(f - 52)*(f - 1)*(f + 1)/2
Let 5*j**5 - 145*j**4 - 165*j**3 + 425*j**2 + 740*j + 300 = 0. Calculate j.
-1, 2, 30
Factor -m**5 - 51*m**4 - 867*m**3 - 4913*m**2.
-m**2*(m + 17)**3
Factor 2*i**2/3 - 454*i/3 - 152.
2*(i - 228)*(i + 1)/3
Determine j, given that -2*j**3/17 + 18*j**2/17 + 114*j/17 - 130/17 = 0.
-5, 1, 13
Let 2*p**2/13 - 28*p/13 - 30/13 = 0. What is p?
-1, 15
Let -6*s**2/5 + 138*s/5 = 0. What is s?
0, 23
Determine o, given that 3*o**3/8 + 3*o**2/4 + 3*o/8 = 0.
-1, 0
Find q, given that 2*q**4/11 - 40*q**3/11 + 138*q**2/11 - 164*q/11 + 64/11 = 0.
1, 2, 16
Factor 3*q**4 - 42*q**3 + 84*q**2 + 360*q.
3*q*(q - 10)*(q - 6)*(q + 2)
Determine o so that 16*o**5 + 12*o**4 - 48*o**3 - 13*o**2 + 42*o - 9 = 0.
-3/2, 1/4, 1
Suppose -2*u**2 + 2480*u - 768800 = 0. Calculate u.
620
Solve -2*o**5/7 + 2*o**4/7 + 36*o**3/7 + 4*o**2 - 34*o/7 - 30/7 = 0.
-3, -1, 1, 5
Let -2*l**4/3 - 20*l**3 - 66*l**2 + 260*l/3 = 0. What is l?
-26, -5, 0, 1
Factor c**5 - 58*c**4 + 1012*c**3 - 2898*c**2 - 41013*c - 37044.
(c - 21)**3*(c + 1)*(c + 4)
Suppose 2*a**2/13 + 60*a/13 + 450/13 = 0. What is a?
-15
Factor r**2/3 + 31*r/3.
r*(r + 31)/3
Determine b, given that -3*b**3 - 588*b**2 + 1185*b - 594 = 0.
-198, 1
Factor 4*y**3/5 + 24*y**2 + 252*y/5 - 1944/5.
4*(y - 3)*(y + 6)*(y + 27)/5
Factor 7*h**4 + 102*h**3 + 396*h**2/7 + 8*h.
h*(h + 14)*(7*h + 2)**2/7
Let -3*s**3/8 + 237*s**2/4 + 477*s/8 = 0. Calculate s.
-1, 0, 159
Determine o, given that -2*o**3/7 + 6*o**2/7 + 548*o/7 + 2640/7 = 0.
-11, -6, 20
Determine x so that 2*x**2/7 - 632*x/7 + 1878/7 = 0.
3, 313
Let 3*h**3/2 + 45*h**2 + 51*h/2 - 522 = 0. What is h?
-29, -4, 3
Facto