a*(a + 12)*(a + 68)**2/2
Find w, given that -32*w**4/5 + 16*w**3 - 10*w**2 = 0.
0, 5/4
Find j such that 3*j**5/5 + 71*j**4/5 + 112*j**3/5 + 44*j**2/5 = 0.
-22, -1, -2/3, 0
Factor 4*r**2 - 292*r + 4704.
4*(r - 49)*(r - 24)
Factor s**3/5 + 9*s**2/5 + 8*s/5.
s*(s + 1)*(s + 8)/5
Suppose -3*b**4 + 12*b**3 + 81*b**2/4 - 111*b/4 + 15/2 = 0. What is b?
-2, 1/2, 5
Factor 5*z**4 - 20*z**3 - 90*z**2 - 100*z - 35.
5*(z - 7)*(z + 1)**3
Solve 2*c**2 + 2342*c - 2344 = 0 for c.
-1172, 1
Factor d**2/7 + 97*d/7 + 460/7.
(d + 5)*(d + 92)/7
Find t, given that t**2/2 + 69*t/2 = 0.
-69, 0
Solve -2*w**2 + 8*w - 6 = 0.
1, 3
Determine z so that 2*z**5 + 62*z**4 + 272*z**3 + 312*z**2 = 0.
-26, -3, -2, 0
Factor -4*z**2 - 1044*z - 4112.
-4*(z + 4)*(z + 257)
Factor -3*l**3 - 9*l**2 + 30*l + 72.
-3*(l - 3)*(l + 2)*(l + 4)
Factor -6*c**3 + 9*c**2 + 33*c - 18.
-3*(c - 3)*(c + 2)*(2*c - 1)
Solve 4*d**2 + 20*d - 96 = 0.
-8, 3
Let -5*a**2 - 105*a - 400 = 0. Calculate a.
-16, -5
Suppose 2*r**2/3 - 86*r - 260/3 = 0. What is r?
-1, 130
Factor 3*b**3/7 + 36*b**2/7 + 51*b/7 - 90/7.
3*(b - 1)*(b + 3)*(b + 10)/7
Factor g**2/6 - 104*g/3.
g*(g - 208)/6
Suppose -3*y**5/5 - 66*y**4/5 - 54*y**3 - 48*y**2 + 273*y/5 + 306/5 = 0. Calculate y.
-17, -3, -2, -1, 1
Factor -5*r**4 + 1065*r**3 + 3225*r**2 + 3235*r + 1080.
-5*(r - 216)*(r + 1)**3
Factor -2*t**2/7 + 8*t/7 + 24/7.
-2*(t - 6)*(t + 2)/7
Let 4*t**2 + 2116*t - 2120 = 0. What is t?
-530, 1
Solve -21*t**5/4 + 3471*t**4/4 + 13101*t**3/4 + 13677*t**2/4 + 510*t - 507 = 0 for t.
-2, -1, 2/7, 169
Let b**5 - 121*b**4 + 3720*b**3 - 3600*b**2 = 0. What is b?
0, 1, 60
Factor 2*m**4 + 34*m**3 + 90*m**2 + 86*m + 28.
2*(m + 1)**3*(m + 14)
Determine n so that -2*n**5 + 76*n**4/9 + 164*n**3/9 - 544*n**2/9 + 382*n/9 - 20/3 = 0.
-3, 2/9, 1, 5
Determine d, given that -2*d**4/9 + 34*d**3/9 - 18*d**2 + 230*d/9 - 100/9 = 0.
1, 5, 10
Factor -4*i**2 - 328*i - 640.
-4*(i + 2)*(i + 80)
What is v in 25*v**5 + 860*v**4 + 6641*v**3 - 13646*v**2 - 6228*v - 648 = 0?
-18, -1/5, 2
Factor 3*i**4 - 18*i**3 + 9*i**2 + 30*i.
3*i*(i - 5)*(i - 2)*(i + 1)
Determine h so that -14*h**5/3 + 80*h**4/9 + 554*h**3/9 + 472*h**2/9 + 40*h/9 = 0.
-2, -1, -2/21, 0, 5
Determine q so that -5*q**4 - 15*q**3 - 15*q**2 - 5*q = 0.
-1, 0
Let -n**4 + 7*n**3 - 15*n**2 + 13*n - 4 = 0. Calculate n.
1, 4
Factor -4*d**3 + 176*d**2 - 2496*d + 11520.
-4*(d - 20)*(d - 12)**2
Suppose -16*r**3/3 + 164*r**2/3 + 136*r/3 - 44/3 = 0. Calculate r.
-1, 1/4, 11
Factor -4*k**2 + 224*k + 228.
-4*(k - 57)*(k + 1)
Suppose 8*i**4/9 - 12*i**3 - 608*i**2/9 - 236*i/3 - 24 = 0. Calculate i.
-3, -1, -1/2, 18
Factor 2*i**5 - 32*i**4/3 + 68*i**3/3 - 24*i**2 + 38*i/3 - 8/3.
2*(i - 1)**4*(3*i - 4)/3
Suppose -2*v**5 - 34*v**4 - 140*v**3 = 0. What is v?
-10, -7, 0
Solve 3*b**3/5 - 906*b**2/5 + 1803*b/5 - 180 = 0 for b.
1, 300
Find l, given that 18*l**2 - 465*l - 78 = 0.
-1/6, 26
Suppose 5*b**2 - 95*b + 170 = 0. Calculate b.
2, 17
Factor 5*x**3 - 20*x**2 - 80*x + 320.
5*(x - 4)**2*(x + 4)
What is g in -4*g**4 + 8*g**3 + 20*g**2 - 24*g = 0?
-2, 0, 1, 3
Factor 4*h**2 - 320*h + 6400.
4*(h - 40)**2
What is o in -3*o**3/7 - 810*o**2/7 - 72900*o/7 - 2187000/7 = 0?
-90
Factor -3*a**4 + 87*a**3 - 69*a**2 - 411*a - 252.
-3*(a - 28)*(a - 3)*(a + 1)**2
Factor -5*f**2 - 20*f - 20.
-5*(f + 2)**2
Suppose -5*x**4 - 700*x**3 + 2130*x**2 - 2140*x + 715 = 0. What is x?
-143, 1
Factor q**3/8 + 33*q**2/4 - 35*q.
q*(q - 4)*(q + 70)/8
Solve -2*t**4 - 66*t**3 - 634*t**2 - 1470*t - 900 = 0 for t.
-15, -2, -1
Solve -3*j**2 - 84*j + 87 = 0.
-29, 1
Factor 2*v**3/5 - 1042*v**2/5 + 2078*v/5 - 1038/5.
2*(v - 519)*(v - 1)**2/5
Factor 5*o**3 - 150*o**2 + 535*o - 390.
5*(o - 26)*(o - 3)*(o - 1)
Solve 2*l**5 - 224*l**3 + 1284*l**2 - 2466*l + 1404 = 0.
-13, 1, 3, 6
Factor 5*k**2 + 680*k + 1340.
5*(k + 2)*(k + 134)
Solve -3*u**2/8 + 60*u + 504 = 0.
-8, 168
Solve 3*g**5/2 + 51*g**4/4 + 3*g**3/2 - 165*g**2/4 - 87*g/2 - 12 = 0.
-8, -1, -1/2, 2
Solve 4*c**2 - 396*c - 1224 = 0.
-3, 102
Factor 4*x**3 + 1052*x**2 + 67564*x - 212268.
4*(x - 3)*(x + 133)**2
Find f such that 40*f**4/11 - 14*f**3 - 28*f**2/11 + 16*f/11 = 0.
-2/5, 0, 1/4, 4
Suppose 2*g**2 - 36*g - 638 = 0. Calculate g.
-11, 29
Determine l, given that l**2 - 43*l - 90 = 0.
-2, 45
Factor -2*v**4/13 - 252*v**3/13 - 9506*v**2/13 - 98784*v/13 - 307328/13.
-2*(v + 7)**2*(v + 56)**2/13
Let -4*c**4 + 9*c**3 - 2*c**2 = 0. What is c?
0, 1/4, 2
Factor -2*r**3/11 + 392*r**2/11 + 1592*r/11 + 1600/11.
-2*(r - 200)*(r + 2)**2/11
Suppose -6*s**3/13 - 140*s**2/13 - 618*s/13 + 476/13 = 0. What is s?
-17, -7, 2/3
Factor i**4/3 - 10*i**3 + 100*i**2 - 1000*i/3.
i*(i - 10)**3/3
Factor f**2/3 + 133*f - 400/3.
(f - 1)*(f + 400)/3
Find a, given that 4*a**3 - 388*a**2 + 764*a - 380 = 0.
1, 95
Solve -2*n**5/3 - 40*n**4/3 - 62*n**3 + 268*n**2/3 + 1160*n/3 - 400 = 0.
-10, -3, 1, 2
Determine w so that -2*w**2 - 8*w + 120 = 0.
-10, 6
Factor 13*c**2/2 - 19*c/2 + 3.
(c - 1)*(13*c - 6)/2
Factor -3*o**4 - 126*o**3 - 1164*o**2 + 3960*o + 11616.
-3*(o - 4)*(o + 2)*(o + 22)**2
What is y in -2*y**3 - 240*y**2 + 746*y + 984 = 0?
-123, -1, 4
What is l in l**2 - 8*l - 153 = 0?
-9, 17
Suppose 54*a**2/7 + 976*a/7 + 72/7 = 0. Calculate a.
-18, -2/27
Suppose 5*w**2/4 + 55*w/4 - 15 = 0. Calculate w.
-12, 1
Suppose 2*g**5/21 + 32*g**4/21 - 52*g**3/21 - 328*g**2/21 - 382*g/21 - 136/21 = 0. What is g?
-17, -1, 4
Factor 4*w**3 + 20*w**2 - 8*w - 96.
4*(w - 2)*(w + 3)*(w + 4)
What is q in 384*q**4 + 28640*q**3 - 12058*q**2 - 4354*q - 300 = 0?
-75, -1/8, 2/3
Solve -2*m**5 + 34*m**3 + 72*m**2 + 40*m = 0 for m.
-2, -1, 0, 5
Suppose -l**4/6 - 17*l**3 - 639*l**2/2 + 5814*l - 19494 = 0. What is l?
-57, 6
Find a, given that -2*a**3/3 + 2*a**2/3 + 8*a/3 - 8/3 = 0.
-2, 1, 2
Factor o**3/4 - 629*o**2/2 - o/4 + 629/2.
(o - 1258)*(o - 1)*(o + 1)/4
Determine o so that 5*o**5/2 - 5*o**4/2 - 65*o**3 - 15*o**2 + 765*o/2 + 675/2 = 0.
-3, -1, 3, 5
Determine o so that o**2/2 - 379*o/2 - 1155 = 0.
-6, 385
Factor z**3/2 + 5*z**2/2 - 41*z/2 - 45/2.
(z - 5)*(z + 1)*(z + 9)/2
Factor 7*i**4 + 12*i**3 - 32*i**2 - 48*i + 16.
(i - 2)*(i + 2)**2*(7*i - 2)
Solve -z**3/8 - z**2/8 + 5*z/2 = 0 for z.
-5, 0, 4
What is b in -4*b**4 + 8*b**3 + 76*b**2 - 80*b = 0?
-4, 0, 1, 5
Solve t**4/8 + 5*t**3/8 - 5*t/2 - 2 = 0 for t.
-4, -2, -1, 2
Factor 2*v**2 - 544*v - 546.
2*(v - 273)*(v + 1)
Find k such that 2523*k**4/7 + 53331*k**3/7 - 48186*k**2/7 - 7404*k/7 - 264/7 = 0.
-22, -2/29, 1
Determine c, given that -3*c**3 + 282*c**2 = 0.
0, 94
Find n such that 4*n**3 - 64*n**2 - 320*n = 0.
-4, 0, 20
Solve b**3/3 + b**2/3 - 2*b/3 = 0.
-2, 0, 1
Factor 2*y**2/13 + 10420*y/13 + 13572050/13.
2*(y + 2605)**2/13
Factor 2*s**3/11 - 8*s**2 - 490*s/11.
2*s*(s - 49)*(s + 5)/11
Factor -5*i**4/3 + 20*i**3/3 + 10*i**2/3 - 20*i - 15.
-5*(i - 3)**2*(i + 1)**2/3
Solve q**3/5 - 17*q**2/5 - 37*q/5 - 19/5 = 0.
-1, 19
Factor 5*o**3 + 5*o**2 - 630*o - 1800.
5*(o - 12)*(o + 3)*(o + 10)
Factor -12*n**3 + 448*n**2 + 5492*n - 1880.
-4*(n - 47)*(n + 10)*(3*n - 1)
Determine d so that 5*d**2 + 70*d - 75 = 0.
-15, 1
Factor 2*s**4 + 136*s**3 - 1510*s**2 + 3900*s.
2*s*(s - 5)**2*(s + 78)
Find s such that 6*s**3 + 2128*s**2/3 + 472*s/3 = 0.
-118, -2/9, 0
Determine w so that -4*w**4 - 28*w**3 - 68*w**2 - 68*w - 24 = 0.
-3, -2, -1
Factor 3*o**5 + 3*o**4 - 144*o**3 + 552*o**2 - 816*o + 432.
3*(o - 2)**4*(o + 9)
Solve 4*s**2/5 + 16*s/5 - 48/5 = 0 for s.
-6, 2
Determine i, given that 4*i**2/5 - 56*i/5 - 1404/5 = 0.
-13, 27
Suppose q**2 + 15*q + 14 = 0. Calculate q.
-14, -1
Factor -3*v**3/4 + 1397*v**2/4 - 929*v/4 - 465/4.
-(v - 465)*(v - 1)*(3*v + 1)/4
Suppose p**5 + 60*p**4 - 1663*p**3 + 11342*p**2 - 17940*p + 8200 = 0. What is p?
-82, 1, 10
Suppose 3*h**2 + 57*h + 144 = 0. What is h?
-16, -3
Factor -2*a**2 - 178*a.
-2*a*(a + 89)
Find o, given that -o**2/5 - 1422*o/5 = 0.
-1422, 0
Factor a**4 - 4*a**3 - 11*a**2 - 6*a.
a*(a - 6)*(a + 1)**2
Suppose -3*t**5/4 + 29*t**4/2 - 17*t**3/4 - 19*t**2/2 = 0. Calculate t.
-2/3, 0, 1, 19
Let i**3/3 + 31*i**2 + 177*i + 261 = 0. Calculate i.
-87, -3
Suppose 2*i**4/17 + 58*i**3/17 + 108*i**2/17 = 0. Calculate i.
-27, -2, 0
Suppose 2*u**4 + 70*u**3 + 258*u**2 + 314*u + 124 = 0. Calculate u.
-31, -2, -1
Factor -21*z**3/8 + 243*z**2/4 - 69*z/8.
-3*z*(z - 23)*(7*z - 1)/8
Factor -2*x**3/7 + 258*x**2/7 - 36*x - 512